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

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
depths
listlengths
512
512
sibling_idxs
listlengths
512
512
[ 465, 1695, 40, 38, 203, 465, 26015, 203, 465, 31074, 203, 465, 316, 203, 465, 2322, 203, 465, 17778, 203, 465, 29590, 203, 1070, 638, 15910, 1188, 7337, 30, 7349, 9690, 30, 20516, 2775, 203, 81, 38261, 81, 30563, 7146, 81, 613, 280, 316, 32, 6993, 26, 284, 323, 20, 6736, 12185, 390, 527, 44444, 6736, 78, 96, 29548, 49, 5421, 96, 6736, 3285, 390, 527, 44444, 6736, 392, 316, 32, 6737, 2320, 203, 27, 203, 589, 617, 2161, 81, 605, 81, 1070, 81, 3651, 26, 1170, 858, 2582, 711, 284, 442, 7349, 9690, 32, 4929, 750, 1922, 26, 291, 7349, 9690, 32, 93, 4929, 16255, 2044, 30, 810, 858, 2582, 30, 2069, 26, 1170, 858, 2582, 27, 284, 829, 203, 589, 617, 2161, 81, 11702, 81, 1070, 81, 34805, 26, 34805, 711, 284, 9473, 81, 891, 280, 2069, 26, 34805, 27, 284, 5036, 280, 308, 102, 77, 34, 79, 436, 273, 328, 24414, 27, 284, 2078, 280, 308, 102, 77, 35, 79, 436, 273, 328, 24414, 27, 284, 16198, 81, 3494, 280, 308, 2852, 9690, 32, 4929, 620, 2084, 319, 9473, 81, 891, 2502, 28, 3494, 27, 284, 16198, 81, 2810, 280, 308, 2852, 9690, 32, 4929, 620, 2084, 319, 9473, 81, 891, 2502, 28, 2810, 27, 284, 442, 7349, 9690, 32, 4929, 7870, 1922, 26, 291, 7349, 9690, 32, 93, 4929, 16255, 2044, 30, 291, 16198, 81, 3494, 30, 291, 16198, 81, 2810, 30, 291, 9473, 81, 891, 30, 291, 7349, 9690, 32, 93, 4929, 620, 7870, 953, 26136, 101, 30, 291, 7349, 9690, 32, 93, 4929, 620, 7870, 882, 26136, 101, 30, 284, 829, 203, 589, 617, 2161, 81, 800, 81, 452, 81, 9941, 26, 853, 711, 284, 786, 81, 302, 81, 1117, 81, 98, 280, 26015, 32, 2405, 26, 853, 30, 26015, 32, 21569, 26, 32271, 32, 85, 81, 1117, 81, 98, 490, 284, 802, 280, 7349, 9690, 32, 4929, 652, 936, 33114, 2651, 26, 291, 786, 81, 302, 81, 1117, 81, 98, 30, 291, 20516, 2775, 32, 93, 4929, 652, 7960, 6261, 42, 284, 829, 284, 415, 802, 438, 1665, 44, 291, 3112, 280, 26015, 32, 1297, 81, 800, 81, 2668, 26, 35, 34, 36, 38, 27, 291, 1056, 280, 7349, 9690, 32, 4929, 652, 936, 33114, 26, 324, 786, 81, 302, 81, 1117, 81, 98, 30, 324, 3112, 30, 1802, 35, 34, 36, 38, 30, 324, 20516, 2775, 32, 93, 4929, 652, 7960, 6261, 42, 291, 829, 291, 415, 646, 1056, 44, 324, 3636, 546, 21887, 463, 924, 19402, 390, 802, 645, 20516, 652, 2084, 683, 291, 802, 280, 3112, 32, 853, 284, 415, 802, 438, 646, 1665, 44, 291, 802, 280, 802, 32, 5460, 463, 3310, 31, 42, 683, 284, 442, 802, 203, 589, 617, 862, 81, 1347, 81, 731, 26, 731, 30, 3756, 81, 823, 47, 2521, 711, 284, 415, 1048, 610, 225, 34, 44, 291, 442, 284, 16198, 81, 731, 81, 800, 280, 7337, 32, 3091, 4001, 14477, 652, 26, 731, 30, 1665, 27, 284, 1688, 280, 617, 2161, 81, 800, 81, 452, 81, 9941, 26, 2161, 81, 731, 81, 800, 27, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 6, 5, 6, 6, 6, 5, 5, 5, 7, 6, 7, 7, 7, 7, 5, 5, 6, 6, 5, 5, 7, 8, 8, 8, 7, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 4, 4, 7, 6, 7, 6, 5, 6, 6, 6, 5, 2, 2, 4, 4, 7, 6, 7, 6, 5, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 6, 7, 8, 6, 2, 2, 3, 6, 5, 6, 6, 6, 5, 5, 5, 7, 6, 7, 7, 7, 7, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 6, 6, 5, 5, 5, 7, 6, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 6, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 2, 2, 4, 4, 7, 6, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 8, 7, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 8, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8, 8, 8, 10, 9, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 5, 6, 5, 5, 5, 7, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 7, 8, 2, 2, 3, 4, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 7, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 2 ]
[ 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, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 9, 9, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 4, 4, 5, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 5, 5, 1, 1, 1, 7, 7, 1, 1, 1, 0, 9, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 11, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 1, 1, 1, 0, 7, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 4, 0, 12, 12, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 12, 12, 0, 1, 1, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4 ]
[ 465, 2361, 203, 465, 5741, 203, 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 465, 11685, 203, 1270, 44, 284, 645, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 203, 7343, 29986, 44, 284, 443, 19444, 462, 631, 30096, 26, 984, 711, 291, 3097, 203, 1070, 18792, 32, 21332, 1188, 22045, 203, 1070, 18792, 1188, 802, 81, 2516, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 4530, 280, 330, 34, 32, 38, 32, 35, 25, 203, 505, 2116, 505, 280, 330, 3597, 479, 36, 93, 25, 203, 505, 1648, 505, 280, 8825, 26, 4530, 32, 2998, 3949, 2847, 203, 589, 617, 2405, 81, 410, 26, 104, 711, 284, 442, 629, 26, 104, 27, 415, 19326, 26, 104, 30, 330, 44065, 683, 461, 354, 32, 44065, 346, 813, 354, 203, 589, 617, 2405, 81, 965, 466, 26, 104, 711, 284, 442, 22045, 32, 2208, 32, 311, 7345, 81, 5431, 26, 104, 27, 415, 6937, 26, 104, 30, 596, 27, 813, 354, 203, 28350, 5289, 65, 81, 37080, 81, 21385, 280, 330, 11025, 81, 9558, 32, 2613, 32, 14493, 2597, 25, 203, 28350, 5289, 65, 81, 37080, 81, 14905, 81, 21385, 280, 330, 9558, 81, 2613, 32, 14493, 2597, 25, 203, 37080, 81, 21385, 280, 475, 60, 5289, 65, 81, 37080, 81, 21385, 203, 1270, 44, 284, 1188, 13247, 81, 2613, 284, 19087, 1296, 81, 21385, 280, 475, 60, 5289, 65, 81, 37080, 81, 14905, 81, 21385, 203, 7343, 44, 284, 3097, 203, 823, 3139, 882, 26, 1473, 711, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 4145, 109, 34, 4872, 2473, 1643, 26, 784, 3667, 823, 29215, 426, 8223, 203, 823, 23471, 26, 1473, 711, 284, 20995, 31517, 280, 2322, 32, 12757, 284, 2370, 2695, 280, 3139, 882, 346, 284, 36143, 81, 6373, 81, 5203, 69, 280, 2726, 1508, 370, 330, 267, 370, 330, 1253, 370, 330, 107, 370, 330, 7134, 370, 330, 35, 683, 284, 3834, 81, 7420, 280, 22045, 32, 2208, 32, 4480, 1394, 284, 4040, 81, 20528, 81, 7223, 280, 330, 20528, 81, 2413, 25, 284, 4581, 81, 20856, 4547, 940, 280, 301, 291, 330, 12243, 950, 330, 11025, 32, 1199, 32, 11514, 32, 19577, 81, 39238, 331, 2323, 36, 370, 291, 330, 19577, 950, 330, 11025, 32, 1199, 32, 11514, 32, 19577, 81, 39238, 331, 2323, 36, 370, 291, 330, 1069, 1364, 950, 330, 11025, 32, 1199, 32, 11514, 32, 19577, 81, 39238, 331, 2323, 36, 370, 291, 330, 33764, 950, 330, 11025, 32, 1199, 32, 11514, 32, 19577, 81, 39238, 331, 2323, 36, 370, 291, 330, 1526, 21031, 950, 330, 11025, 32, 12023, 32, 21031, 32, 1199, 32, 11514, 32, 1526, 21031, 370, 291, 330, 7534, 950, 330, 11025, 32, 1199, 32, 11514, 32, 7534, 370, 291, 330, 7534, 36, 950, 330, 11025, 32, 1199, 32, 11514, 32, 7534, 370, 291, 330, 7534, 21031, 950, 330, 11025, 32, 12023, 32, 21031, 32, 1199, 32, 11514, 32, 7534, 370, 291, 330, 11115, 950, 330, 11025, 32, 1199, 32, 11514, 32, 11115, 370, 291, 330, 20847, 659, 950, 330, 11025, 32, 12023, 32, 21031 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 3, 3, 5, 5, 5, 1, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 6, 5, 4, 4, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 7, 6, 7, 6, 8, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 6, 4, 4, 7, 8, 7, 7, 9, 9, 5, 5, 7, 8, 7, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 7, 8, 6, 7, 7, 7, 7, 6, 7, 6, 4, 4, 6, 7, 6, 6, 6, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 9, 9, 9, 9, 8, 7, 10, 9, 10, 10, 9, 9, 0, 1, 1, 2, 3, 2, 1, 1, 5, 4, 4, 5, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 5, 5, 4, 4, 6, 7, 5, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 6, 3, 3, 3, 3, 3, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 13, 13, 1, 1, 1, 2, 1, 2, 13, 13, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 14, 14, 1, 1, 1, 1, 2, 1, 2, 14, 14, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 18, 18, 18, 18, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 18, 3, 3, 3, 3, 0, 19, 19, 1, 2, 1, 2, 19, 19, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 20, 20, 2, 1, 2, 20, 20, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 19, 1, 1, 1, 1, 1 ]
[ 1070, 1359, 32, 1163, 1188, 399, 4460, 1102, 815, 81, 3687, 81, 12908, 203, 1070, 3756, 1188, 48377, 203, 1070, 9332, 32, 1160, 81, 2435, 1188, 622, 81, 2190, 30, 622, 81, 4066, 81, 1637, 203, 1070, 9332, 32, 9198, 1188, 438, 81, 1813, 1548, 30, 883, 81, 1821, 203, 1070, 9332, 32, 3142, 1188, 1410, 11964, 32476, 2291, 203, 1070, 9332, 32, 2387, 1188, 2908, 81, 2387, 203, 823, 18666, 26, 75, 11964, 32476, 2291, 711, 284, 665, 2908, 81, 2788, 26, 784, 30, 1326, 711, 291, 636, 280, 1326, 32, 371, 81, 2669, 440, 426, 657, 291, 415, 646, 308, 426, 610, 313, 15691, 20, 556, 438, 81, 1813, 1548, 26, 1357, 8531, 324, 3636, 48377, 346, 291, 1938, 280, 1326, 32, 371, 81, 2669, 81, 410, 440, 1637, 392, 225, 35, 27, 291, 7772, 280, 622, 81, 2190, 26, 1357, 30, 636, 27, 291, 20357, 280, 622, 81, 4066, 81, 1637, 26, 1357, 30, 7772, 30, 1938, 27, 291, 3380, 81, 4066, 81, 998, 280, 7772, 32, 4066, 81, 998, 291, 1938, 81, 2999, 280, 3380, 81, 4066, 81, 998, 517, 399, 4460, 1102, 815, 81, 3687, 81, 12908, 291, 415, 3380, 81, 4066, 81, 998, 904, 399, 4460, 1102, 815, 81, 3687, 81, 12908, 863, 225, 34, 44, 324, 1938, 81, 2999, 280, 3380, 81, 4066, 81, 998, 517, 399, 4460, 1102, 815, 81, 3687, 81, 12908, 474, 225, 35, 291, 1619, 280, 301, 324, 313, 3028, 563, 20357, 30, 324, 313, 2190, 563, 7772, 30, 324, 313, 1637, 563, 1938, 30, 324, 313, 1637, 81, 2999, 563, 1938, 81, 2999, 30, 324, 313, 3374, 81, 1821, 563, 883, 81, 1821, 26, 1357, 30, 7772, 471, 291, 320, 291, 442, 2908, 81, 2387, 440, 2190, 32, 916, 392, 1326, 30, 1619, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 4, 4, 5, 6, 10, 9, 9, 11, 11, 8, 8, 10, 10, 10, 10, 11, 10, 5, 5, 7, 9, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 10, 8, 9, 8, 4, 4, 6, 6, 8, 8, 8, 9, 8, 8, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 5, 5, 5, 9, 9, 8, 8, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 4, 4, 6, 6, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 11, 10, 10, 10, 7, 7, 4, 4, 5, 7, 7, 7, 9, 9, 9, 9, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 2, 1, 1, 1, 1, 2, 6, 6, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 7, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 2, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 1, 1, 1, 2, 9, 0, 0, 1, 1, 1, 1, 1, 2, 2, 4, 4, 9, 0, 0, 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 ]
[ 465, 10071, 203, 8795, 347, 1010, 78, 203, 8795, 44, 38089, 292, 487, 333, 2501, 48, 17633, 2501, 48, 44878, 29298, 1163, 333, 5609, 7148, 46, 853, 48, 17633, 5609, 7148, 46, 853, 48, 3212, 203, 1318, 2412, 6350, 884, 5927, 5420, 44, 203, 4756, 2033, 1459, 3049, 1474, 203, 6626, 416, 81, 893, 32914, 416, 372, 1487, 20338, 1778, 308, 24223, 31, 1945, 27, 203, 893, 263, 1487, 20338, 1778, 203, 371, 81, 4519, 225, 5630, 5816, 5035, 436, 309, 2542, 2236, 18457, 645, 26494, 46147, 108, 203, 8795, 263, 2519, 6886, 203, 2077, 958, 1459, 3541, 203, 1285, 11719, 351, 1459, 3645, 85, 2484, 432, 13403, 20338, 328, 20338, 3298, 203, 2929, 351, 1459, 20338, 3298, 372, 526, 1654, 436, 9175, 13403, 20338, 101, 203, 5660, 262, 1459, 38089, 292, 487, 1695, 3362, 203, 1318, 2412, 3377, 884, 5927, 5420, 44, 203, 2929, 2850, 3298, 372, 1491, 13403, 20338, 101, 645, 308, 1536, 44, 11140, 1244, 3298, 27, 203, 5660, 2264, 38089, 292, 487, 1695, 3362, 308, 1536, 44, 330, 2993, 474, 766, 528, 10071, 32, 5660, 474, 1524, 683, 203, 1676, 81, 19448, 81, 965, 11655, 544, 996, 968, 2884, 7134, 657, 556, 646, 2884, 1347, 20, 428, 271, 1346, 1604, 786, 1130, 528, 372, 308, 26615, 372, 27, 2156, 322, 18274, 3834, 432, 600, 8665, 3645, 85, 528, 2484, 328, 322, 308, 1536, 27, 2676, 5427, 308, 1536, 44, 330, 2993, 474, 766, 528, 10071, 32, 1676, 81, 19448, 81, 965, 474, 1524, 683, 203, 30606, 81, 4254, 958, 38089, 292, 487, 14016, 3362, 5202, 308, 1536, 44, 330, 2993, 474, 766, 528, 10071, 32, 30606, 81, 4254, 474, 1524, 683, 203, 30606, 81, 12420, 958, 38089, 292, 487, 14016, 3362, 12809, 308, 1536, 44, 330, 2993, 474, 766, 528, 10071, 32, 30606, 81, 12420, 474, 1524, 683, 203, 2993, 203, 4756, 347, 1010, 78, 203, 2087, 38722, 203, 6904, 20338, 12780, 549, 11741, 4559, 203, 2993, 474, 6886, 203, 2077, 347, 1010, 78, 203, 10581, 308, 53, 27, 225, 36, 34, 35, 41, 225, 8359, 3308, 10451, 9188, 203, 2272, 3460, 438, 3741, 2932, 44, 844, 883, 14086, 561, 461, 33, 271, 5351, 203, 283, 1531, 322, 5955, 432, 322, 6987, 31035, 6146, 5056, 1177, 619, 203, 14554, 810, 322, 7823, 3859, 7113, 30, 3154, 1503, 225, 37, 432, 322, 203, 3786, 30, 556, 308, 269, 1370, 2470, 27, 1346, 6125, 1503, 32, 203, 2272, 3460, 438, 2728, 328, 322, 9845, 688, 561, 1098, 526, 6364, 30, 203, 698, 4197, 2964, 9339, 45, 2876, 4444, 322, 4500, 14327, 432, 203, 22286, 7752, 556, 8108, 4786, 399, 7848, 7755, 32, 225, 2802, 322, 203, 21327, 31035, 6146, 5056, 1177, 436, 1829, 4245, 32, 203, 4282, 1395, 1159, 6584, 312, 1933, 432, 322, 6987, 31035, 6146, 5056, 1177, 203, 40198, 623, 458, 3460, 32, 225, 1670, 646, 30, 2318, 333, 525, 555, 1499, 32, 10628, 32, 1088, 33, 4188, 28733, 203, 2993, 203, 753, 81, 1172, 280, 301, 334, 313, 2929, 563, 313, 4766, 3298, 392, 334, 313, 5660, 563, 313, 38722, 3362, 392, 334, 313, 1676, 81, 19448 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12, 13, 13, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 10, 11, 12, 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, 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, 9, 8, 9, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 6, 7, 8, 8, 8, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 4, 5, 6, 6, 6, 3, 3, 5, 5, 5, 0, 3, 2, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 2, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6 ]
[ 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, 2, 0, 0, 2, 0, 3, 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, 2, 0, 0, 2, 0, 3, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 3, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 3, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1 ]
[ 465, 15798, 203, 1070, 816, 1647, 1188, 8056, 483, 203, 1070, 816, 1647, 32, 771, 2980, 1188, 22946, 30, 19089, 81, 13806, 203, 823, 8080, 6923, 2696, 1006, 26, 18986, 32, 7233, 711, 284, 5881, 4470, 322, 19089, 81, 13806, 1411, 9592, 284, 665, 894, 81, 26485, 81, 34826, 26, 784, 711, 291, 15932, 280, 1605, 291, 22946, 3667, 1113, 505, 280, 9254, 597, 30, 1604, 44, 308, 289, 32, 1928, 9828, 429, 1604, 32, 1928, 9828, 27, 474, 308, 289, 32, 20000, 429, 1604, 32, 20000, 27, 291, 1169, 81, 2999, 30, 485, 1691, 981, 81, 2999, 280, 19089, 81, 13806, 26, 13806, 27, 291, 630, 32, 5299, 26, 464, 81, 2999, 30, 22946, 26, 1928, 9828, 47, 34, 30, 4195, 47, 34, 30, 485, 1691, 981, 47, 2700, 30, 4169, 347, 1367, 2131, 291, 630, 32, 5299, 26, 33987, 81, 2999, 30, 22946, 26, 1928, 9828, 47, 34, 30, 4195, 47, 34, 30, 485, 1691, 981, 47, 1815, 30, 4169, 347, 1367, 2131, 291, 15932, 32, 1689, 26, 7044, 26, 1928, 9828, 47, 34, 30, 4195, 47, 39, 30, 485, 1691, 981, 47, 2700, 30, 4169, 347, 1367, 2131, 291, 1169, 81, 2999, 30, 485, 1691, 981, 81, 2999, 280, 19089, 81, 13806, 26, 13806, 27, 291, 630, 32, 5299, 26, 464, 81, 2999, 30, 22946, 26, 1928, 9828, 47, 34, 30, 4195, 47, 39, 30, 485, 1691, 981, 47, 2700, 30, 4169, 347, 1367, 2131, 291, 630, 32, 5299, 26, 33987, 81, 2999, 30, 22946, 26, 1928, 9828, 47, 34, 30, 4195, 47, 34, 30, 485, 1691, 981, 47, 1815, 30, 4169, 347, 1367, 2131, 291, 15932, 32, 1689, 26, 7044, 26, 1928, 9828, 47, 37, 30, 4195, 47, 39, 30, 485, 1691, 981, 47, 1815, 30, 4169, 347, 1367, 2131, 291, 1169, 81, 2999, 30, 485, 1691, 981, 81, 2999, 280, 19089, 81, 13806, 26, 13806, 27, 291, 630, 32, 47628, 26, 464, 81, 2999, 30, 22946, 26, 1928, 9828, 47, 37, 30, 4195, 47, 35, 34, 30, 485, 1691, 981, 47, 2700, 30, 4169, 347, 1367, 2131, 291, 630, 32, 47628, 26, 33987, 81, 2999, 30, 22946, 26, 1928, 9828, 47, 37, 30, 4195, 47, 39, 30, 485, 1691, 981, 47, 1815, 30, 4169, 347, 1367, 2131, 291, 15932, 32, 1689, 26, 7044, 26, 1928, 9828, 47, 36, 30, 4195, 47, 39, 30, 485, 1691, 981, 47, 1815, 30, 4169, 347, 1367, 2131, 291, 1169, 81, 2999, 30, 485, 1691, 981, 81, 2999, 280, 19089, 81, 13806, 26, 13806, 27, 291, 630, 32, 47628, 26, 464, 81, 2999, 30, 22946, 26, 1928, 9828, 47, 39, 30, 4195, 47, 35, 39, 30, 485, 1691, 981, 47, 2700, 30, 4169, 347, 1367, 2131, 291, 630, 32, 47628, 26, 33987, 81, 2999, 30, 22946, 26, 1928, 9828, 47, 39, 30, 4195, 47, 35, 34, 30, 485, 1691, 981, 47, 1815, 30, 4169, 347, 1367, 2131, 203, 823, 8080, 820, 1006, 26, 18986, 32, 7233, 711, 284, 5881, 4470, 2914, 820, 17451, 9592, 284, 3502, 81, 4944, 7159, 280, 301, 284, 320, 284, 26890, 81, 4944, 7159, 280, 301, 291, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 8, 8, 7, 7, 12, 11, 12, 12, 10, 10, 11, 12, 12, 9, 8, 8, 12, 11, 12, 10, 10, 11, 12, 9, 4, 4, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 11, 10, 11, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 10, 12, 12, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 11, 10, 11, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 10, 12, 12, 4, 4, 7, 8, 7, 9, 9, 11, 11, 10, 11, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 10, 12, 12, 4, 4, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 11, 10, 11, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 10, 12, 12, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 11, 10, 11, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 10, 12, 12, 4, 4, 7, 8, 7, 9, 9, 11, 11, 10, 11, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 10, 12, 12, 4, 4, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 11, 10, 11, 9, 9, 10, 11, 11, 9, 9, 11, 11, 10, 11, 9, 9, 10, 12, 12, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 11, 10, 11, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 10, 12, 12, 4, 4, 7, 8, 7, 9, 9, 11, 11, 10, 11, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 10, 12, 12, 4, 4, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 11, 10, 11, 9, 9, 10, 11, 11, 9, 9, 11, 11, 10, 11, 9, 9, 10, 12, 12, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 9, 11, 11, 10, 11, 9, 9, 10, 11, 11, 9, 9, 11, 11, 10, 11, 9, 9, 10, 12, 12, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 1, 2, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2 ]
[ 465, 2322, 203, 465, 6234, 203, 465, 19493, 203, 465, 1133, 203, 465, 2192, 203, 465, 29590, 203, 465, 15798, 203, 1070, 894, 1188, 894, 81, 3592, 203, 325, 646, 19326, 26, 1613, 30, 313, 929, 5812, 10280, 284, 3636, 894, 81, 3592, 32, 1006, 42937, 440, 858, 4847, 1755, 544, 7946, 225, 36, 32, 40, 657, 203, 1270, 44, 284, 2192, 32, 929, 5812, 346, 203, 7343, 45338, 30, 484, 44, 284, 415, 484, 32, 12864, 610, 19493, 32, 718, 2636, 16928, 44, 291, 3636, 894, 81, 3592, 32, 1006, 42937, 440, 6474, 4163, 1330, 2193, 484, 11986, 346, 657, 203, 823, 2108, 7414, 5812, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 1786, 5264, 280, 6234, 32, 4817, 346, 291, 630, 32, 1786, 5264, 32, 2539, 39109, 35, 36, 41, 32, 34, 32, 34, 32, 35, 370, 225, 34, 490, 291, 630, 32, 1786, 5264, 32, 12220, 26, 35, 27, 291, 630, 32, 16717, 280, 428, 784, 32, 1786, 5264, 79, 284, 665, 28921, 26, 784, 711, 291, 436, 3001, 102, 328, 630, 32, 16717, 44, 324, 3001, 102, 32, 2679, 346, 284, 665, 617, 10089, 81, 5210, 26, 784, 711, 291, 2043, 280, 6234, 32, 4817, 346, 291, 2043, 32, 470, 22821, 26, 2700, 27, 291, 1596, 44, 324, 2043, 32, 3517, 39109, 35, 36, 41, 32, 34, 32, 34, 32, 35, 370, 630, 32, 1786, 5264, 32, 371, 9184, 426, 8532, 35, 5259, 291, 2940, 6234, 32, 731, 30, 484, 44, 324, 630, 32, 4983, 26, 87, 32, 1132, 77, 34, 614, 19493, 32, 55, 521, 32121, 27, 291, 813, 44, 324, 3636, 34835, 440, 6754, 1395, 1159, 19565, 516, 521, 32121, 657, 291, 2145, 30, 8705, 280, 630, 32, 1786, 5264, 32, 7494, 346, 291, 630, 32, 16717, 32, 8233, 1162, 1580, 30, 2145, 490, 291, 442, 2043, 30, 2145, 284, 665, 894, 81, 1297, 26, 784, 711, 291, 1596, 44, 324, 11227, 280, 2192, 32, 929, 5812, 26, 35, 40, 27, 291, 2940, 546, 21887, 30, 484, 44, 324, 3636, 34835, 26, 466, 26, 87, 490, 291, 630, 32, 862, 5908, 929, 32, 5039, 7888, 346, 848, 225, 34, 30, 11227, 32, 5039, 7888, 1157, 291, 630, 32, 862, 5908, 1206, 11227, 32, 10687, 27, 291, 11227, 32, 2679, 346, 291, 630, 32, 862, 5908, 929, 32, 10687, 27, 291, 630, 32, 23895, 26, 22239, 30, 11227, 32, 5039, 7888, 27, 284, 665, 894, 81, 3371, 1297, 26, 784, 711, 291, 630, 32, 23895, 26, 18082, 30, 2192, 32, 929, 5812, 30, 225, 35, 30, 225, 36, 30, 225, 37, 27, 291, 630, 32, 23895, 26, 18082, 30, 2192, 32, 929, 5812, 30, 330, 3986, 683, 291, 630, 32, 23895, 26, 18082, 30, 2192, 32, 929, 5812, 30, 1665, 27, 291, 630, 32, 23895, 26, 18082, 30, 2192, 32, 929, 5812, 30, 22975, 291, 630, 32, 23895, 26, 18082, 30, 2192, 32, 929, 5812, 30, 2107, 3986, 3490, 291, 630, 32, 23895, 26, 18082, 30, 2192, 32, 929, 5812, 30, 12797, 284, 665, 894, 81, 669, 26, 784, 711, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 4, 5, 4, 4, 6, 6, 6, 1, 1, 3, 6, 6, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 1, 1, 5, 6, 6, 5, 1, 2, 2, 2, 2, 2, 2, 2, 4, 6, 7, 5, 5, 6, 7, 7, 7, 4, 4, 4, 6, 9, 9, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 9, 8, 9, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 5, 5, 6, 7, 5, 5, 5, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 14, 15, 15, 13, 14, 14, 14, 13, 12, 11, 5, 5, 6, 7, 8, 6, 6, 6, 6, 6, 10, 11, 10, 13, 12, 13, 11, 12, 11, 10, 11, 12, 12, 12, 10, 5, 5, 6, 6, 6, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 7, 6, 6, 9, 10, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 9, 8, 8, 8, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 10, 11, 11, 10, 11, 11, 10, 5, 5, 6, 7, 6, 6, 6, 6, 6, 8, 10, 12, 12, 13, 12, 4, 4, 7, 8, 8, 11, 10, 11, 11, 10, 8, 8, 9, 7, 7, 9, 10, 10, 9, 4, 4, 7, 8, 8, 8, 8, 9, 10, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 8, 9, 8, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 8, 9, 9, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 9, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 9, 7, 7, 10, 10, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 0, 0, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 9, 9, 0, 2, 2, 1, 9, 3, 3, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 2, 0, 1, 2, 2, 10, 10, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 2, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 3, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 3, 2, 2, 3, 1, 2, 3, 3, 3, 3, 3, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 2, 2, 2, 1, 2, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 3, 3, 0, 1, 0, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5 ]
[ 9592, 1006, 688, 2357, 32, 1031, 10693, 14187, 4847, 32, 203, 19630, 6492, 1098, 526, 19643, 2663, 30, 4193, 30, 22340, 461, 6822, 32, 203, 9592, 203, 505, 1427, 1643, 505, 280, 330, 268, 25120, 878, 25, 203, 505, 1648, 505, 280, 8493, 606, 44, 398, 25, 203, 465, 15798, 203, 1070, 3619, 89, 730, 1188, 3962, 203, 1070, 3619, 89, 730, 1188, 2357, 203, 1070, 638, 1188, 1695, 81, 878, 203, 823, 5895, 81, 2715, 3479, 26, 1439, 81, 878, 32, 1031, 35506, 711, 284, 2357, 81, 426, 280, 4247, 284, 3223, 81, 891, 280, 225, 40, 34, 34, 30, 225, 36, 34, 34, 284, 665, 2908, 26, 784, 711, 291, 296, 566, 280, 2357, 32, 944, 22869, 630, 32, 2186, 81, 891, 27, 291, 420, 280, 296, 566, 32, 302, 2460, 429, 296, 566, 32, 3801, 304, 291, 341, 280, 630, 32, 3518, 32, 1644, 291, 630, 32, 5919, 280, 1605, 291, 816, 280, 225, 34, 291, 436, 3014, 328, 330, 1393, 4193, 22340, 6822, 2473, 2998, 2262, 324, 2266, 280, 3014, 32, 7607, 346, 474, 330, 107, 25, 324, 630, 32, 5919, 32, 1689, 26, 2186, 32, 1031, 26, 88, 566, 30, 2266, 30, 816, 30, 225, 39, 34, 30, 9426, 47, 2934, 490, 324, 816, 1454, 630, 32, 5919, 6448, 35, 997, 1644, 284, 665, 5171, 26, 784, 711, 291, 3962, 32, 1843, 1514, 37, 88, 26, 35, 30, 225, 35, 30, 225, 35, 27, 291, 3962, 32, 1843, 5942, 26, 1843, 32, 2060, 81, 39723, 27, 291, 3962, 32, 35549, 36, 88, 26, 34, 30, 225, 39, 34, 27, 291, 3962, 32, 35549, 36, 88, 26, 784, 32, 3518, 32, 1644, 30, 225, 39, 34, 27, 291, 3962, 32, 1843, 2102, 346, 291, 436, 2266, 328, 630, 32, 5919, 44, 324, 2266, 32, 3887, 346, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 15798, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 6, 6, 5, 5, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 8, 8, 9, 10, 10, 10, 8, 4, 4, 6, 6, 9, 8, 9, 9, 7, 7, 9, 8, 9, 9, 4, 4, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 4, 4, 6, 6, 7, 4, 4, 5, 5, 5, 9, 9, 9, 9, 9, 8, 7, 5, 5, 8, 8, 11, 12, 11, 9, 9, 11, 11, 6, 6, 10, 11, 9, 10, 9, 12, 11, 12, 11, 12, 12, 11, 11, 11, 11, 11, 11, 12, 12, 11, 11, 12, 13, 11, 6, 6, 8, 8, 11, 12, 10, 12, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 7, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 9, 10, 9, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 7, 7, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 2, 4, 4, 5, 5, 5, 1, 1, 1, 1, 2, 2, 1, 5, 5, 0, 0, 0, 2, 1, 2, 2, 1, 2, 5, 5, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 1, 9, 2, 1, 5, 5, 0, 0, 0, 2, 0, 1, 0, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 1, 4, 4, 5, 5, 5, 3, 2, 5, 5, 5, 0, 2, 1, 0, 8, 8, 0, 0, 1, 1, 1, 1, 8, 8, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 11435, 842, 203, 10321, 842, 32, 10321, 842, 81, 1664, 346, 203, 465, 37961, 5650, 203, 1070, 11435, 842, 32, 12316, 1188, 19816, 1796, 203, 300, 592, 107, 280, 19816, 1796, 32, 1812, 26, 10321, 842, 32, 1772, 22730, 27, 203, 6453, 280, 11435, 842, 32, 4196, 1722, 10580, 440, 3055, 5650, 657, 203, 98, 34, 261, 280, 3226, 592, 107, 32, 6669, 5635, 26, 261, 34, 4317, 264, 34, 4317, 264, 34, 7447, 203, 98, 36, 34, 34, 280, 3226, 592, 107, 32, 6669, 5635, 26, 36, 34, 34, 4317, 225, 36, 34, 34, 4317, 225, 36, 34, 34, 7447, 203, 30417, 261, 280, 3226, 592, 107, 32, 6669, 5635, 26, 261, 34, 4317, 264, 34, 4317, 225, 35, 34, 34, 7447, 203, 104, 11469, 280, 3226, 592, 107, 32, 6669, 2863, 8590, 9709, 30644, 26, 35, 34, 34, 4317, 225, 35, 34, 34, 4317, 225, 35, 34, 34, 7447, 203, 1501, 280, 3226, 592, 107, 32, 6669, 1705, 8617, 46578, 26, 98, 34, 30, 298, 36, 34, 34, 27, 203, 2754, 874, 518, 225, 280, 225, 39, 34, 34, 32, 203, 14375, 280, 3226, 592, 107, 32, 6669, 13758, 26, 30417, 30, 354, 11469, 30, 3934, 874, 518, 27, 203, 11458, 35, 280, 3226, 592, 107, 32, 6669, 10728, 2009, 1501, 614, 428, 14375, 1130, 203, 11458, 36, 280, 3226, 592, 107, 32, 10728, 2009, 1501, 614, 428, 14375, 1130, 203, 11458, 37, 280, 3226, 592, 107, 32, 6669, 19175, 10728, 26, 1501, 30, 14442, 27, 203, 314, 81, 1501, 280, 3226, 592, 107, 32, 23402, 22730, 26, 1501, 2360, 1705, 657, 203, 314, 81, 14375, 280, 3226, 592, 107, 32, 23402, 22730, 26, 14375, 2360, 13758, 657, 203, 314, 81, 11458, 35, 280, 3226, 592, 107, 32, 23402, 22730, 26, 11458, 35, 2360, 6669, 10728, 657, 203, 314, 81, 11458, 36, 280, 3226, 592, 107, 32, 23402, 22730, 26, 11458, 36, 2360, 10728, 657, 203, 314, 81, 11458, 37, 280, 3226, 592, 107, 32, 23402, 22730, 26, 11458, 37, 2360, 6669, 19175, 10728, 657, 203, 6453, 32, 1297, 2185, 3933, 6990, 26, 314, 81, 1501, 27, 203, 6453, 32, 470, 30401, 26, 314, 81, 1501, 30, 35, 27, 203, 6453, 32, 1297, 2185, 3933, 6990, 26, 314, 81, 14375, 27, 203, 6453, 32, 470, 30401, 26, 314, 81, 14375, 30, 35, 27, 203, 6453, 32, 1297, 2185, 3933, 6990, 26, 314, 81, 11458, 35, 27, 203, 6453, 32, 1297, 2185, 3933, 6990, 26, 314, 81, 11458, 36, 27, 203, 6453, 32, 1297, 2185, 3933, 6990, 26, 314, 81, 11458, 37, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 0, 4, 4, 3, 4, 4, 4, 4, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 5, 6, 6, 4, 0, 3, 2, 2, 5, 4, 5, 5, 5, 4, 6, 6, 6, 0, 3, 3, 2, 2, 2, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 0, 3, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 0, 3, 2, 2, 2, 5, 5, 4, 5, 5, 4, 4, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 0, 3, 3, 2, 2, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 0, 3, 2, 2, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 0, 3, 2, 2, 5, 5, 4, 5, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 0, 3, 3, 2, 2, 5, 5, 4, 5, 5, 4, 6, 5, 4, 6, 5, 0, 3, 3, 2, 2, 5, 5, 4, 5, 4, 6, 5, 4, 6, 5, 0, 3, 3, 2, 2, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 4, 5, 4, 6, 6, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 4, 5, 4, 6, 6, 0, 3, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 4, 5, 5, 4, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 4, 5, 5, 4, 6, 6, 0, 3, 3, 3, 3, 2, 2, 5, 5, 4, 5, 5, 4, 5, 5, 4, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 0, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 0, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 3, 0, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 0, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 0, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 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 ]
[ 465, 6436, 619, 2065, 203, 1070, 18414, 32, 15378, 1188, 29988, 81, 4873, 203, 1070, 13134, 1188, 15500, 203, 1070, 13134, 32, 7982, 32, 5176, 32, 311, 42142, 1188, 12851, 3463, 340, 31204, 81, 5020, 203, 1070, 13134, 32, 7982, 1188, 6092, 3767, 81, 31818, 203, 1070, 13134, 32, 2304, 32, 4266, 1188, 1201, 81, 1870, 30, 1201, 81, 37368, 81, 2228, 203, 1070, 13134, 32, 2304, 32, 4266, 1188, 1201, 81, 16708, 81, 18349, 203, 589, 894, 81, 10411, 3463, 340, 31204, 2262, 284, 5890, 280, 15500, 32, 944, 81, 29051, 346, 284, 1593, 280, 5890, 32, 605, 284, 533, 280, 5890, 32, 1977, 284, 475, 280, 6092, 3767, 81, 31818, 26, 74, 30, 10021, 1057, 87, 34986, 683, 284, 12851, 3463, 340, 31204, 280, 12851, 3463, 340, 31204, 81, 5020, 26, 54, 30, 533, 30, 10021, 1057, 1001, 24544, 683, 284, 1201, 26, 10411, 3463, 340, 31204, 848, 225, 34, 27, 284, 12851, 3463, 340, 31204, 81, 7263, 280, 12851, 3463, 340, 31204, 81, 5020, 26, 74, 30, 533, 30, 10021, 1057, 87, 34986, 683, 284, 1201, 81, 37368, 81, 2228, 26, 10411, 3463, 340, 31204, 30, 12851, 3463, 340, 31204, 81, 7263, 27, 284, 12851, 3463, 340, 31204, 280, 12851, 3463, 340, 31204, 81, 5020, 26, 54, 30, 533, 30, 10021, 1057, 1001, 24544, 370, 6619, 3964, 81, 891, 47, 410, 26, 74, 32, 3229, 77, 34, 79, 517, 225, 36, 471, 6619, 3995, 81, 1293, 47, 34, 27, 284, 12851, 3463, 340, 31204, 81, 7263, 280, 12851, 3463, 340, 31204, 81, 5020, 26, 74, 30, 533, 30, 10021, 1057, 87, 34986, 370, 11244, 3964, 81, 891, 47, 410, 26, 74, 32, 3229, 77, 34, 79, 517, 225, 36, 471, 11244, 3995, 81, 1293, 47, 34, 27, 284, 1201, 26, 10411, 3463, 340, 31204, 848, 225, 34, 27, 284, 1201, 26, 10411, 3463, 340, 31204, 81, 7263, 848, 225, 34, 27, 284, 1201, 81, 37368, 81, 2228, 26, 10411, 3463, 340, 31204, 81, 7263, 30, 12851, 3463, 340, 31204, 27, 284, 1593, 81, 15378, 280, 29988, 81, 4873, 26, 74, 27, 284, 475, 280, 6092, 3767, 81, 31818, 26, 74, 81, 15378, 30, 10021, 1057, 87, 34986, 683, 284, 12851, 3463, 340, 31204, 280, 12851, 3463, 340, 31204, 81, 5020, 26, 54, 30, 533, 30, 10021, 1057, 1001, 24544, 683, 284, 1201, 26, 10411, 3463, 340, 31204, 848, 225, 34, 27, 203, 589, 894, 81, 1347, 81, 10095, 2262, 284, 6492, 280, 2065, 32, 955, 2009, 35, 30, 225, 34, 30, 225, 35, 30, 225, 35, 30, 225, 35, 1130, 284, 475, 280, 2065, 32, 3855, 32, 6096, 1078, 26, 34, 547, 6386, 26, 1657, 26, 5919, 471, 2069, 26, 5919, 490, 284, 12851, 3463, 340, 31204, 280, 12851, 3463, 340, 31204, 81, 5020, 26, 54, 30, 6492, 30, 10021, 1057, 1001, 24544, 683, 284, 1201, 81, 1870, 26, 2356, 32, 30737, 26, 10411, 3463, 340, 31204, 490, 203, 589, 894, 81, 11015, 81, 1172, 891, 2262, 284, 5890, 280, 15500, 32, 944, 81, 29051, 346, 284, 1593, 280, 5890, 32, 605, 284, 533, 280, 2065, 32, 16251, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 2, 2, 4, 4, 5, 6, 2, 2, 4, 4, 5, 6, 2, 2, 4, 4, 6, 6, 6, 6, 7, 6, 6, 7, 9, 9, 9, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 9, 9, 9, 2, 2, 4, 6, 6, 6, 6, 5, 5, 6, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 9, 9, 9, 2, 2, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 5, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 9, 9, 9, 6, 6, 8, 8, 7, 9, 9, 13, 12, 13, 11, 12, 11, 10, 10, 11, 9, 6, 6, 8, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 9, 9, 9, 6, 6, 8, 8, 7, 9, 9, 13, 12, 13, 11, 12, 11, 10, 10, 11, 9, 6, 6, 8, 8, 7, 8, 6, 2, 2, 4, 6, 6, 6, 6, 5, 5, 6, 4, 2, 2, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 4, 2, 2, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 9, 9, 9, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 9, 9, 9, 2, 2, 4, 6, 6, 6, 6, 5, 5, 6, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 2, 2, 4, 4, 9, 10, 8, 9, 9, 8, 9, 8, 7, 6, 8, 8, 9, 8, 6, 8, 9, 8, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 9, 9, 9, 2, 2, 5, 5, 5, 8, 7, 8, 7, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 2, 2, 4, 4, 5, 6, 2, 2, 4, 4, 6, 7, 6 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 6, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 1, 1, 2, 4, 4, 1, 0, 0, 0, 0, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 1, 1, 2, 1, 1, 0, 0, 7, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 9, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 1, 1, 2, 1, 1, 0, 0, 7, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 9, 2, 1, 4, 4, 1, 0, 0, 0, 0, 1, 1, 2, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 1, 1, 2, 4, 4, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 8, 8, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]
[ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]
[ 823, 4960, 363, 11743, 26, 984, 711, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 2, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3995, 203, 465, 15121, 99, 203, 48679, 18032, 280, 428, 203, 37, 38, 35, 30, 203, 38, 38, 38, 30, 203, 39, 39, 35, 30, 203, 40, 39, 40, 30, 203, 41, 40, 39, 30, 203, 43, 34, 40, 30, 203, 35, 35, 37, 34, 30, 203, 35, 39, 42, 42, 30, 203, 37, 37, 35, 37, 30, 203, 42, 38, 37, 43, 43, 203, 79, 203, 25459, 81, 3687, 81, 2739, 280, 225, 39, 41, 39, 38, 32, 517, 225, 38, 37, 35, 43, 43, 41, 36, 39, 43, 203, 3459, 81, 4804, 280, 225, 40, 34, 319, 225, 40, 34, 319, 225, 36, 38, 319, 225, 35, 34, 34, 34, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 5247, 81, 9410, 280, 629, 26, 3731, 32, 6118, 77, 35, 1130, 284, 2910, 81, 5962, 280, 308, 25459, 81, 3687, 81, 2739, 319, 5247, 81, 9410, 27, 284, 1929, 81, 9671, 81, 16242, 280, 1605, 284, 1550, 81, 1003, 280, 225, 34, 284, 2385, 280, 225, 34, 284, 11350, 81, 5057, 280, 1605, 284, 2218, 1550, 81, 1003, 333, 7482, 81, 4804, 44, 291, 2385, 1454, 225, 35, 291, 1550, 81, 1003, 1454, 3995, 32, 32909, 9972, 332, 26, 2832, 81, 5962, 27, 291, 15121, 99, 32, 292, 725, 1372, 26, 9671, 81, 5057, 30, 1550, 81, 1003, 474, 3995, 32, 11447, 26, 48679, 18032, 490, 291, 2218, 11350, 81, 5057, 461, 308, 9671, 81, 5057, 77, 34, 79, 333, 1550, 81, 1003, 711, 324, 15121, 99, 32, 292, 725, 520, 26, 9671, 81, 5057, 27, 291, 1929, 81, 9671, 81, 16242, 32, 1689, 26, 1657, 26, 9671, 81, 5057, 490, 284, 1459, 330, 2999, 14864, 44, 5769, 2385, 284, 1459, 330, 1449, 11350, 821, 1346, 1133, 44, 5769, 1769, 26, 1516, 81, 9671, 81, 16242, 27, 284, 5651, 280, 3632, 26, 1516, 81, 9671, 81, 16242, 27, 517, 2069, 26, 1516, 81, 9671, 81, 16242, 27, 284, 1459, 330, 14298, 11350, 44, 5769, 5651, 284, 1459, 2726, 1530, 1902, 11350, 44, 5769, 291, 308, 1036, 43270, 106, 31, 6009, 9593, 36, 436, 816, 328, 1929, 81, 9671, 81, 16242, 1130, 517, 2069, 26, 1516, 81, 9671, 81, 16242, 490, 6192, 39, 291, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 3, 3, 2, 2, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 6, 6, 5, 5, 6, 6, 4, 4, 5, 5, 3, 3, 4, 4, 4, 4, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 4, 4, 6, 9, 8, 9, 7, 8, 7, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 6, 6, 7, 7, 5, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 5, 2, 2, 4, 4, 5, 2, 2, 5, 5, 4, 4, 2, 2, 3, 5, 5, 4, 4, 5, 5, 3, 3, 3, 6, 6, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 9, 8, 8, 10, 11, 10, 11, 11, 10, 4, 4, 5, 7, 7, 6, 6, 10, 10, 10, 9, 10, 9, 8, 8, 9, 9, 7, 5, 5, 10, 9, 10, 10, 10, 9, 10, 10, 10, 9, 4, 4, 8, 8, 8, 8, 7, 8, 7, 9, 9, 10, 10, 10, 9, 2, 2, 3, 5, 5, 5, 5, 3, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 6, 6, 6, 6, 6, 5, 2, 2, 4, 4, 7, 8, 8, 8, 8, 8, 7, 5, 5, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 5, 5, 5, 5, 3, 2, 2, 4, 7, 7, 7, 7, 7, 5, 5, 10, 10, 15, 14, 15, 13, 13, 11, 12, 12, 12, 13, 13, 13, 13, 11, 8, 8, 10, 11, 11, 11, 11, 11, 10, 6, 7, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 2, 7, 7, 7, 2, 2, 9, 9, 9, 2, 2, 11, 11, 11, 2, 2, 13, 13, 13, 13, 2, 2, 15, 15, 15, 15, 2, 2, 17, 17, 17, 17, 2, 2, 19, 19, 19, 19, 19, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 0, 3, 3, 6, 0, 0, 1, 1, 2, 2, 6, 6, 6, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 0, 2, 1, 1, 1, 1, 3, 3, 3, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 3, 3, 7, 1, 1, 1, 1, 7, 3, 3, 8, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 10, 1, 1, 1, 1, 10, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 465, 28176, 203, 823, 15593, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 4266, 26, 784, 711, 291, 630, 32, 5299, 26, 35, 30, 35, 30, 313, 1419, 8419, 561, 1957, 15981, 203, 823, 506, 930, 5908, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 26423, 280, 28176, 32, 26423, 36, 284, 665, 1695, 1732, 81, 1516, 81, 35, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 26423, 26, 35, 471, 225, 34, 30, 313, 26423, 1929, 225, 35, 438, 646, 3809, 657, 284, 665, 1695, 1732, 81, 1516, 81, 36, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 26423, 26, 36, 471, 225, 35, 30, 313, 26423, 1929, 225, 36, 438, 646, 3809, 657, 284, 665, 28176, 81, 1516, 81, 35, 34, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 26423, 26, 35, 34, 471, 225, 37, 38, 30, 313, 26423, 225, 35, 34, 438, 225, 37, 37, 657, 284, 665, 1695, 1732, 81, 668, 81, 35, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 26423, 26, 35, 471, 428, 34, 614, 313, 26423, 1149, 623, 1591, 1623, 438, 646, 3809, 657, 284, 665, 1695, 1732, 81, 668, 81, 36, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 26423, 26, 36, 471, 428, 34, 30, 35, 614, 313, 26423, 1149, 225, 36, 623, 3134, 3946, 438, 646, 3809, 657, 284, 665, 28176, 81, 668, 81, 35, 34, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 26423, 26, 35, 34, 471, 428, 34, 30, 35, 30, 35, 30, 36, 30, 37, 30, 39, 30, 42, 30, 35, 37, 30, 36, 35, 30, 37, 38, 614, 291, 313, 28445, 1149, 16832, 438, 646, 3809, 657, 203, 823, 506, 930, 35, 81, 4266, 26, 28445, 81, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 26423, 280, 28176, 32, 26423, 35, 284, 665, 894, 81, 1439, 1732, 81, 35, 26, 784, 711, 291, 630, 32, 1439, 1732, 81, 668, 81, 35, 346, 284, 665, 894, 81, 1439, 1732, 81, 36, 26, 784, 711, 291, 630, 32, 1439, 1732, 81, 668, 81, 36, 346, 284, 665, 894, 81, 26423, 81, 668, 81, 35, 34, 26, 784, 711, 291, 630, 32, 26423, 81, 668, 81, 35, 34, 346, 203, 823, 506, 930, 36, 81, 4266, 26, 28445, 81, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 26423, 280, 28176, 32, 26423, 36, 284, 665, 894, 81, 1439, 1732, 81, 35, 26, 784, 711, 291, 630, 32, 1439, 1732, 81, 1516, 81, 35, 346, 284, 665, 894, 81, 1439, 1732, 81, 36, 26, 784, 711, 291, 630, 32, 1439, 1732, 81, 1516, 81, 36, 346, 284, 665, 894, 81, 26423, 81, 1516, 81, 35, 34, 26, 784, 711, 291, 630, 32, 26423, 81, 1516, 81, 35, 34, 346, 203, 823, 506, 930, 81, 12766, 81, 668, 26, 28445, 35, 81, 4266, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 26423, 280, 28176, 32, 26423, 81, 668, 203, 823, 506, 930, 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, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 9, 10, 9, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 9, 10, 9, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 9, 10, 10, 9, 7, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 9, 10, 9, 7, 9, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 9, 10, 9, 7, 9, 8, 9, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 9, 10, 10, 9, 7, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 9, 8, 9, 9, 8, 9, 9, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 8, 8, 8, 0, 1, 1, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 1, 1, 0, 1, 2, 2, 3, 3, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 5, 3, 7, 3, 9, 3, 11, 3, 13, 3, 15, 15, 3, 17, 17, 3, 19, 19, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 2, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 2, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 7, 7, 1, 1 ]
[ 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 2613, 1188, 3320, 203, 465, 2361, 203, 465, 5741, 203, 465, 2322, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 622, 81, 2851, 81, 1517, 81, 2076, 26, 7632, 81, 314, 711, 284, 1596, 44, 291, 3124, 280, 3320, 32, 371, 463, 2851, 81, 1517, 81, 2076, 683, 291, 415, 3124, 438, 646, 1665, 44, 324, 442, 3124, 291, 415, 2322, 32, 983, 32, 29712, 26, 3550, 32, 5959, 81, 9572, 81, 4065, 711, 324, 623, 2156, 26, 3550, 32, 5959, 81, 9572, 81, 4065, 27, 619, 296, 44, 400, 1795, 280, 296, 32, 850, 346, 291, 813, 44, 324, 442, 1665, 291, 2287, 81, 2665, 280, 2361, 32, 12474, 26, 1286, 27, 291, 3124, 280, 2287, 81, 2665, 32, 371, 463, 3264, 370, 1665, 27, 291, 415, 8419, 81, 314, 328, 2287, 81, 2665, 44, 324, 3124, 280, 3124, 474, 3778, 839, 5844, 415, 3124, 813, 4247, 324, 3124, 1454, 2287, 81, 2665, 77, 7632, 81, 314, 79, 291, 3320, 32, 470, 463, 2851, 81, 1517, 81, 2076, 370, 3124, 30, 225, 40, 34, 319, 225, 39, 27, 291, 442, 3124, 284, 2940, 44, 291, 1245, 32, 3893, 440, 924, 2218, 7867, 312, 2287, 1474, 7144, 291, 442, 1665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 6, 6, 5, 5, 5, 7, 4, 4, 5, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 5, 5, 7, 12, 14, 13, 14, 14, 14, 14, 14, 12, 10, 10, 7, 7, 7, 10, 10, 12, 13, 12, 5, 5, 6, 6, 6, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 6, 6, 9, 9, 8, 9, 8, 10, 10, 8, 8, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 5, 8, 8, 10, 10, 12, 12, 9, 9, 9, 9, 6, 6, 8, 8, 10, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 8, 8, 9, 7, 4, 4, 5, 3, 3, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 5, 5, 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 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 4, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 5, 0, 0, 1, 1, 2, 2, 5, 5, 5, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 5, 5, 2, 1, 2, 2, 7, 0, 0, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 109, 284, 330, 426, 950, 330, 37256, 370, 284, 330, 3153, 950, 330, 22965, 370, 284, 330, 1367, 950, 330, 37256, 30, 36664, 30, 1910, 24, 51, 370, 284, 330, 1648, 950, 330, 35, 32, 34, 370, 284, 330, 2310, 950, 1524, 203, 30140, 10017, 30, 622, 19969, 30, 1289, 1673, 100, 3543, 291, 3330, 392, 284, 330, 2116, 950, 330, 2961, 527, 66, 19217, 370, 284, 330, 12787, 950, 330, 641, 555, 1499, 32, 431, 604, 32, 508, 33, 1637, 33, 11863, 31, 4164, 370, 284, 330, 27263, 950, 428, 291, 330, 2393, 81, 19747, 370, 291, 330, 18431, 1865, 370, 291, 330, 12787, 81, 2200, 370, 291, 330, 12787, 81, 15699, 25, 284, 2505, 284, 330, 605, 950, 428, 291, 330, 605, 33, 13512, 81, 605, 32, 2593, 370, 291, 330, 4338, 33, 13512, 32, 2593, 370, 291, 330, 4338, 33, 575, 81, 3707, 32, 2593, 370, 291, 330, 4338, 33, 12787, 81, 13512, 32, 2593, 370, 291, 330, 4338, 33, 476, 81, 99, 1840, 32, 2593, 370, 291, 330, 4373, 33, 476, 32, 1160, 32, 3560, 32, 4700, 370, 291, 330, 605, 33, 20684, 81, 4594, 32, 2593, 370, 291, 330, 605, 33, 20684, 81, 10004, 32, 2593, 370, 291, 330, 605, 33, 20684, 81, 2050, 42615, 32, 2593, 370, 291, 330, 605, 33, 20684, 81, 1803, 7726, 32, 2593, 370, 284, 2505, 284, 330, 99, 1840, 950, 428, 291, 330, 1574, 33, 1617, 33, 2593, 11734, 2593, 25, 284, 2505, 284, 330, 6380, 950, 428, 291, 330, 605, 33, 13512, 81, 6380, 32, 2593, 370, 284, 2505, 284, 330, 3789, 444, 950, 2933, 30, 284, 330, 3164, 950, 2933, 30, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 5, 5, 3, 5, 5, 2, 2, 5, 5, 3, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 5, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 5, 3, 2, 2, 2, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 3, 1, 2, 0, 0, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 7, 1, 1, 1, 2, 0, 0, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 11, 1, 1, 1, 1, 2, 0, 0, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 15, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 17, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 19, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 21, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 23, 0, 0, 0, 1, 2, 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 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8082, 81, 520, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3523, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1603, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 823, 6548, 11196, 1006, 26, 858, 32, 7233, 711, 334, 665, 894, 3297, 7099, 26, 784, 711, 284, 623, 630, 32, 858, 81, 2848, 346, 619, 13597, 44, 397, 312, 280, 8082, 81, 520, 32, 8662, 26, 35, 34, 27, 397, 323, 280, 8082, 81, 520, 32, 8662, 26, 39, 27, 397, 281, 280, 7744, 81, 4156, 32, 20123, 26, 83, 30, 323, 27, 397, 420, 280, 3523, 81, 4156, 32, 371, 81, 2848, 81, 2956, 26, 85, 27, 397, 420, 280, 13597, 32, 1945, 26, 90, 27, 397, 296, 30, 816, 280, 3523, 81, 4156, 32, 371, 81, 2848, 81, 6800, 26, 90, 32, 2956, 30, 343, 2516, 32, 410, 37, 36, 27, 397, 533, 280, 7744, 81, 4156, 32, 20123, 26, 106, 30, 225, 35, 34, 27, 397, 630, 32, 5299, 26, 39, 34, 34, 30, 13597, 32, 1945, 26, 107, 30, 6985, 81, 2665, 1279, 88, 44, 420, 32, 2956, 18364, 334, 665, 894, 3297, 14066, 26, 784, 711, 284, 623, 630, 32, 858, 81, 2848, 346, 619, 13597, 44, 397, 312, 280, 8082, 81, 520, 32, 8662, 26, 35, 34, 27, 397, 323, 280, 8082, 81, 520, 32, 8662, 26, 39, 27, 397, 281, 280, 7744, 81, 4156, 32, 20123, 26, 83, 30, 323, 27, 397, 420, 280, 3523, 81, 4156, 32, 371, 81, 2848, 81, 2956, 26, 85, 27, 397, 420, 280, 13597, 32, 1945, 26, 90, 27, 397, 630, 32, 5299, 26, 39, 34, 30, 420, 32, 6569, 1157, 334, 665, 894, 3297, 2185, 882, 26, 784, 711, 284, 623, 630, 32, 858, 81, 2848, 346, 619, 13597, 44, 397, 312, 280, 8082, 81, 520, 32, 8662, 26, 35, 34, 27, 397, 323, 280, 8082, 81, 520, 32, 8662, 26, 39, 27, 397, 281, 280, 7744, 81, 4156, 32, 20123, 26, 83, 30, 323, 27, 397, 420, 280, 3523, 81, 4156, 32, 371, 81, 2848, 81, 2956, 26, 85, 27, 397, 354, 280, 7744, 81, 4156, 32, 20123, 26, 83, 30, 281, 27, 397, 420, 30, 354, 280, 13597, 32, 1945, 2009, 90, 30, 354, 1130, 397, 630, 32, 5299, 26, 39, 34, 30, 420, 32, 6569, 1157, 397, 630, 32, 5299, 26, 39, 34, 34, 30, 354, 27, 334, 665, 894, 3297, 21808, 26, 784, 711, 284, 623, 630, 32, 858, 81, 2848, 346, 619, 13597, 44, 397, 312, 280, 8082, 81, 520, 32, 8662, 26, 35, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 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, 5, 4, 3, 3, 5, 10, 11, 11, 11, 10, 8, 8, 5, 5, 5, 8, 8, 11, 11, 10, 11, 10, 11, 11, 10, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 10, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 10, 10, 10, 6, 6, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 9, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 10, 12, 11, 12, 12, 12, 10, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 10, 10, 11, 11, 10, 6, 6, 9, 10, 9, 10, 10, 10, 9, 9, 11, 12, 11, 12, 11, 11, 13, 13, 12, 15, 14, 14, 15, 16, 13, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 11, 11, 10, 8, 8, 5, 5, 5, 8, 8, 11, 11, 10, 11, 10, 11, 11, 10, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 10, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 10, 10, 10, 6, 6, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 10, 9, 10, 10, 9, 9, 11, 12, 11, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 11, 11, 10, 8, 8, 5, 5, 5, 8, 8, 11, 11, 10, 11, 10, 11, 11, 10, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 10, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 10, 10, 10, 6, 6, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 10, 10, 10, 6, 6, 9, 9, 8, 8, 10, 11, 10, 12, 11, 11, 11, 6, 6, 9, 10, 9, 10, 10, 9, 9, 11, 12, 11, 6, 6, 9, 10, 9, 10, 10, 10, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 11, 11, 10, 8, 8, 5, 5, 5, 8, 8, 11, 11, 10, 11, 10, 11, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 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, 11, 11, 1, 2, 1, 4, 11, 11, 0, 12, 12, 1, 1, 2, 0, 1, 2, 2, 12, 12, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 3, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 3, 0, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1 ]
[ 465, 14777, 203, 465, 29154, 716, 203, 1070, 3226, 1193, 32, 8512, 27123, 1188, 31096, 266, 269, 449, 203, 1070, 42470, 1163, 1188, 3383, 203, 1070, 22045, 1188, 3185, 203, 1070, 4377, 1676, 81, 1237, 32, 1998, 93, 41802, 4997, 1188, 18966, 61, 41802, 203, 1070, 4377, 19246, 32, 3142, 1188, 17595, 2291, 203, 1070, 4377, 19246, 32, 19246, 2195, 1188, 24814, 265, 4420, 203, 1070, 4377, 19246, 32, 2387, 1188, 17595, 3442, 203, 1070, 4377, 2304, 32, 605, 81, 4531, 1188, 2398, 1972, 203, 1070, 4377, 2304, 32, 4073, 1188, 7139, 203, 1070, 4377, 2304, 32, 3959, 1188, 12831, 203, 823, 32054, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 28039, 2195, 47, 2521, 711, 291, 630, 32, 4073, 280, 7139, 922, 371, 81, 4073, 346, 291, 630, 32, 605, 81, 4531, 280, 2398, 1972, 346, 291, 630, 32, 3959, 280, 12831, 346, 291, 415, 28039, 2195, 438, 1665, 44, 324, 630, 32, 19246, 2195, 280, 24814, 265, 4420, 346, 291, 813, 44, 324, 630, 32, 19246, 2195, 280, 28039, 2195, 284, 665, 29154, 26, 784, 30, 1133, 631, 347, 1700, 10280, 291, 3320, 81, 605, 280, 630, 32, 605, 81, 4531, 32, 850, 81, 2613, 346, 291, 1256, 81, 2645, 280, 630, 32, 3959, 32, 371, 81, 2645, 346, 291, 8436, 81, 496, 81, 2645, 280, 3185, 32, 7345, 26, 496, 81, 2645, 27, 16189, 415, 8436, 81, 496, 81, 2645, 328, 3320, 81, 605, 44, 324, 2965, 280, 3320, 81, 605, 77, 12881, 81, 496, 81, 2645, 11159, 2468, 1446, 324, 7678, 280, 3320, 81, 605, 77, 12881, 81, 496, 81, 2645, 11159, 4474, 1446, 324, 14716, 280, 3320, 81, 605, 77, 12881, 81, 496, 81, 2645, 11159, 9512, 1446, 291, 813, 44, 324, 12266, 25102, 280, 31096, 266, 269, 449, 26, 496, 81, 4867, 347, 93, 6100, 31, 2195, 657, 324, 3894, 280, 12266, 25102, 32, 8512, 687, 26, 496, 81, 2645, 27, 324, 2965, 280, 3894, 32, 2468, 324, 7678, 280, 3894, 32, 16457, 324, 14716, 280, 3894, 32, 17155, 324, 630, 32, 605, 81, 4531, 32, 3176, 81, 2613, 26, 400, 308, 12881, 81, 496, 81, 2645, 30, 3447, 2468, 563, 2965, 30, 313, 4474, 563, 7678, 30, 313, 9512, 563, 14716, 1748, 324, 829, 291, 4125, 81, 678, 280, 3383, 32, 1676, 81, 1237, 32, 7509, 81, 14265, 32, 9052, 291, 12045, 81, 14265, 280, 29154, 716, 32, 944, 81, 24802, 26, 1237, 81, 678, 30, 7678, 30, 14716, 27, 291, 415, 1133, 631, 610, 313, 1700, 563, 324, 5927, 280, 12045, 81, 14265, 32, 31688, 346, 324, 630, 3667, 24802, 26, 31688, 30, 1133, 631, 30, 2965, 27, 291, 4348, 1133, 631, 610, 313, 18779, 563, 324, 38411, 280, 12045, 81, 14265, 32, 43546, 346, 324, 630, 3667, 24802, 26, 43546, 30, 1133, 631, 30, 2965, 27, 291, 4348, 1133, 631, 610, 313, 28338, 563, 324, 21522, 280, 12045, 81, 14265, 32, 18779, 346, 324, 630, 3667, 24802, 26, 18779, 30, 1133, 631, 30, 2965, 27, 284, 665, 1156, 24802, 26, 784, 30, 29154, 30, 1133, 631, 30, 2965, 711, 291, 4269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 4, 4, 3, 4, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 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, 3, 4, 4, 4, 1, 1, 3, 0, 1, 1, 4, 3, 4, 1, 1, 0, 1, 1, 4, 3, 4, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 10, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 8, 4, 4, 5, 7, 6, 6, 5, 5, 5, 9, 10, 10, 8, 8, 10, 10, 10, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 10, 2, 2, 3, 4, 5, 4, 4, 6, 5, 7, 7, 3, 3, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 5, 7, 7, 7, 7, 6, 6, 7, 7, 5, 5, 5, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 11, 6, 6, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 11, 6, 6, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 11, 5, 5, 6, 6, 6, 10, 9, 9, 11, 11, 11, 11, 13, 13, 13, 12, 14, 14, 14, 14, 14, 7, 7, 9, 9, 12, 11, 12, 12, 11, 12, 12, 12, 11, 7, 7, 9, 9, 10, 11, 7, 7, 9, 9, 10, 11, 7, 7, 9, 9, 10, 11, 7, 7, 11, 12, 12, 12, 10, 11, 11, 11, 10, 10, 10, 12, 12, 12, 12, 12, 11, 11, 15, 15, 13, 12, 12, 15, 15, 13, 12, 12, 15, 15, 13, 12, 10, 10, 4, 4, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 7, 8, 4, 4, 7, 7, 6, 6, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 8, 8, 4, 4, 5, 7, 6, 6, 8, 8, 5, 5, 8, 8, 11, 11, 10, 11, 10, 6, 6, 9, 10, 9, 10, 9, 9, 10, 9, 9, 9, 5, 5, 6, 8, 7, 7, 9, 9, 6, 6, 9, 9, 12, 12, 11, 12, 11, 7, 7, 10, 11, 10, 11, 10, 10, 11, 10, 10, 10, 5, 5, 6, 8, 7, 7, 9, 9, 6, 6, 9, 9, 12, 12, 11, 12, 11, 7, 7, 10, 11, 10, 11, 10, 10, 11, 10, 10, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 2, 2, 2, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 0, 1, 2, 2, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 9, 9, 0, 1, 2, 2, 2, 9, 9, 0, 0, 10, 10, 0, 1, 2, 10, 10, 0, 11, 11, 0, 1, 2, 11, 11, 0, 12, 12, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 0, 3, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 1, 4, 4, 3, 0, 1, 1, 3, 3, 3, 0, 2, 2, 0, 0, 0, 0, 1, 3, 3, 4, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 1, 2, 1, 2, 2, 0, 3, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 3, 3, 3, 1, 2, 5, 3, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 0, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 6, 6, 4, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 6, 6, 5, 0, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2 ]
[ 465, 2361, 203, 465, 22045, 32, 1357, 203, 1070, 22045, 32, 731, 1188, 4808, 924, 203, 1070, 11322, 1188, 11322, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 300, 500, 1188, 570, 27320, 9518, 203, 1070, 4759, 32, 3229, 761, 1188, 4483, 81, 12316, 81, 452, 81, 11076, 4605, 7059, 203, 823, 546, 4636, 91, 4772, 44, 284, 477, 13558, 26, 39145, 30, 19843, 47, 36, 30, 7808, 47, 37, 34, 27, 284, 665, 622, 81, 605, 81, 1070, 81, 965, 26, 784, 30, 1984, 711, 291, 623, 22045, 32, 1357, 32, 305, 33786, 26, 965, 30, 5868, 47, 37, 34, 27, 619, 1789, 44, 324, 415, 1789, 32, 687, 610, 225, 36, 34, 36, 44, 400, 3636, 4808, 924, 26, 528, 1984, 30, 1789, 32, 687, 30, 1789, 32, 2076, 30, 1789, 32, 5078, 30, 1789, 32, 4426, 400, 829, 324, 706, 280, 1789, 32, 850, 346, 324, 442, 706, 284, 665, 1156, 1664, 3207, 784, 30, 1984, 30, 485, 422, 81, 1495, 30, 636, 81, 1495, 711, 291, 10180, 280, 2361, 32, 12474, 26, 784, 32, 371, 81, 605, 81, 1070, 81, 965, 26, 965, 547, 5460, 440, 3310, 31, 42, 2131, 291, 630, 32, 5905, 280, 1605, 291, 436, 2787, 328, 10180, 1365, 5905, 18270, 324, 19816, 280, 570, 27320, 9518, 26, 1260, 32, 16958, 26, 3274, 1365, 10119, 28431, 309, 1923, 47, 38, 37, 36, 40, 27, 324, 19816, 280, 4483, 81, 12316, 81, 452, 81, 11076, 4605, 7059, 26, 12316, 27, 324, 8814, 280, 301, 400, 313, 10119, 563, 19816, 30, 400, 313, 426, 563, 2787, 1365, 4642, 15544, 426, 81, 1495, 614, 400, 313, 8460, 779, 563, 2787, 1365, 4642, 9557, 8460, 779, 3439, 324, 320, 324, 415, 485, 422, 81, 1495, 44, 400, 8814, 1365, 89, 422, 1446, 280, 2787, 1365, 4642, 15544, 89, 422, 81, 1495, 79, 324, 630, 32, 5905, 32, 1689, 26, 4875, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 1, 6, 6, 7, 6, 6, 7, 8, 6, 6, 7, 8, 8, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 12, 13, 11, 12, 12, 11, 12, 11, 11, 12, 13, 13, 11, 9, 9, 6, 6, 6, 8, 10, 11, 9, 9, 10, 10, 10, 8, 8, 8, 10, 12, 12, 12, 12, 12, 12, 13, 14, 12, 12, 13, 14, 12, 12, 13, 14, 12, 12, 13, 14, 12, 12, 7, 7, 9, 9, 11, 12, 11, 7, 7, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 8, 9, 8, 13, 12, 13, 13, 13, 13, 13, 13, 13, 12, 13, 12, 11, 10, 12, 12, 12, 12, 4, 4, 7, 8, 6, 6, 4, 4, 5, 5, 5, 6, 8, 8, 5, 5, 8, 8, 10, 10, 10, 13, 12, 13, 12, 14, 13, 15, 15, 10, 12, 11, 12, 12, 12, 12, 10, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 6, 6, 8, 8, 9, 9, 12, 12, 10, 9, 9, 9, 12, 12, 10, 12, 14, 14, 12, 12, 12, 11, 9, 9, 12, 12, 12, 10, 12, 14, 14, 13, 13, 13, 9, 9, 6, 6, 7, 8, 8, 8, 7, 7, 7, 11, 13, 13, 13, 10, 10, 12, 14, 14, 12, 12, 12, 12, 11, 6, 6, 10, 11, 9, 10, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 6, 4, 4, 0, 0, 0, 5, 5, 1, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 1, 1, 1, 6, 6, 6, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 2, 1, 1, 3, 3, 0, 0, 0, 2, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 2, 2, 7, 7, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 2, 2, 2, 3, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 3, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 5, 0, 1, 2, 1, 1, 2, 2, 2, 5, 5, 3, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 1070, 8527, 32, 12023, 32, 2393, 1188, 622, 81, 9198, 81, 10762, 2004, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 203, 1070, 8527, 32, 525, 1188, 17874, 203, 1070, 8527, 32, 36287, 1188, 2908, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 18548, 81, 466, 203, 1070, 27038, 32, 9777, 1188, 447, 2436, 62, 1296, 3184, 81, 6103, 81, 28953, 30, 447, 2436, 62, 1296, 3184, 81, 6103, 81, 3197, 1710, 203, 1070, 27038, 32, 3378, 1188, 6012, 30, 6564, 1969, 7040, 203, 1070, 27038, 32, 2304, 1188, 622, 81, 4189, 81, 1070, 81, 1357, 30, 622, 81, 4189, 81, 668, 30, 622, 81, 13007, 81, 8126, 203, 1070, 27038, 32, 2304, 32, 8524, 1188, 475, 60, 5289, 65, 81, 35, 81, 41, 203, 3908, 81, 13195, 81, 19675, 280, 313, 5965, 20, 203, 589, 35249, 81, 1357, 26, 1986, 711, 284, 415, 475, 60, 5289, 65, 81, 35, 81, 41, 44, 291, 1795, 280, 5053, 1517, 950, 1789, 32, 1517, 81, 687, 30, 330, 1286, 950, 18548, 81, 466, 26, 1986, 32, 1286, 30, 1789, 1114, 15245, 4370, 284, 813, 44, 291, 1795, 280, 5053, 1517, 950, 1789, 32, 1517, 81, 687, 30, 330, 1286, 950, 18548, 81, 466, 26, 1986, 32, 1286, 30, 1789, 32, 15245, 4370, 284, 442, 17874, 26, 1260, 32, 16958, 26, 1286, 471, 1795, 81, 681, 347, 3164, 33, 1260, 657, 203, 15074, 81, 4820, 280, 301, 284, 447, 2436, 62, 1296, 3184, 81, 6103, 81, 3197, 1710, 44, 313, 15074, 81, 19796, 392, 284, 447, 2436, 62, 1296, 3184, 81, 6103, 81, 28953, 44, 313, 15074, 81, 9671, 392, 203, 111, 203, 589, 622, 81, 2300, 81, 3039, 81, 1094, 81, 1819, 26, 1357, 30, 1938, 30, 13996, 47, 2700, 30, 2898, 47, 2521, 711, 284, 1401, 81, 669, 81, 1637, 81, 9198, 280, 1938, 32, 2040, 81, 669, 81, 9198, 26, 1357, 27, 284, 1401, 81, 1500, 81, 1637, 81, 9198, 280, 1938, 32, 2040, 81, 1500, 81, 1637, 81, 9198, 26, 1357, 27, 284, 4755, 280, 13957, 32, 5740, 32, 371, 81, 1700, 346, 284, 7275, 280, 622, 81, 4189, 81, 1070, 81, 1357, 26, 1357, 27, 284, 5035, 280, 3330, 284, 415, 622, 81, 13007, 81, 8126, 463, 28727, 7831, 291, 8735, 280, 1605, 291, 415, 646, 1401, 81, 1500, 81, 1637, 81, 9198, 44, 324, 8735, 32, 1689, 39109, 1327, 81, 4915, 370, 3177, 490, 324, 8735, 32, 1689, 39109, 41388, 370, 3177, 490, 291, 415, 8735, 44, 324, 5035, 280, 313, 2367, 474, 3003, 4939, 2524, 26, 1110, 26, 5962, 484, 44, 5461, 101, 44, 904, 101, 20, 904, 308, 87, 77, 34, 614, 324, 6937, 26, 87, 77, 35, 614, 1560, 27, 461, 596, 26, 87, 77, 35, 1130, 556, 484, 77, 35, 997, 5729, 346, 2588, 8735, 490, 474, 313, 3845, 284, 1401, 81, 669, 81, 267, 81, 8786, 81, 2649, 81, 9198, 280, 3177, 284, 6410, 280, 6012, 1114, 2859, 284, 415, 622, 81, 13007, 81, 8126, 463, 28727, 7831, 291, 415, 19326, 26, 1357, 32, 496, 30, 7610, 3264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 6, 6, 10, 10, 8, 9, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 12, 11, 12, 10, 10, 11, 12, 10, 3, 3, 4, 4, 4, 7, 7, 11, 11, 9, 10, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 13, 12, 13, 11, 11, 12, 13, 11, 2, 2, 3, 5, 8, 7, 8, 7, 8, 7, 5, 7, 7, 6, 8, 8, 8, 8, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 2, 2, 4, 4, 7, 8, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 2, 2, 3, 5, 5, 5, 5, 5, 7, 7, 3, 3, 6, 6, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 10, 10, 6, 6, 9, 10, 9, 12, 12, 10, 10, 4, 4, 5, 5, 5, 5, 8, 8, 12, 10, 10, 14, 13, 12, 14, 14, 15, 15, 15, 15, 18, 18, 18, 18, 18, 16, 16, 19, 18, 19, 18, 17, 17, 21, 23, 22, 23, 22, 21, 21, 19, 19, 21, 23, 22, 23, 22, 18, 18, 21, 22, 21, 21, 20, 17, 14, 14, 9, 9, 11, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 4, 4, 5, 6, 2, 2, 3, 5, 5, 5, 5, 5, 7, 7, 3, 3, 5, 7, 9, 8, 9, 7, 7, 9 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 7, 7, 0, 0, 0, 8, 8, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 3, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 0, 4, 4, 4, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 3, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 2, 2, 0, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 4, 4, 5, 0, 0, 0, 0, 1, 1, 2, 5, 5, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 2, 1, 1, 2, 1, 1, 3, 3, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 2, 4, 4, 8, 0, 0, 0, 0, 1, 1, 2, 8, 8, 0, 1, 0, 1, 2, 1, 1, 1 ]
[ 465, 7138, 203, 465, 5741, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 1070, 20894, 32, 6319, 1188, 38092, 30, 3194, 930, 30, 570, 716, 203, 1070, 638, 5360, 81, 10542, 81, 3854, 1188, 17374, 2531, 9389, 3763, 30, 7187, 1088, 2531, 9389, 3763, 203, 1070, 638, 5360, 81, 3368, 81, 3854, 1188, 17374, 2531, 6280, 3763, 30, 7187, 1088, 2531, 6280, 3763, 203, 1070, 638, 5360, 81, 5057, 81, 4531, 1188, 17893, 1972, 203, 1070, 638, 5360, 81, 18354, 1188, 570, 2371, 1189, 418, 282, 12471, 30, 6131, 81, 3324, 203, 1070, 638, 1188, 23122, 81, 3550, 81, 1637, 203, 1070, 638, 5360, 81, 2796, 81, 4018, 1188, 34950, 43431, 203, 21333, 81, 5732, 280, 1524, 203, 46, 3337, 48, 334, 333, 3039, 804, 1057, 725, 31, 3039, 3019, 284, 333, 1906, 48, 397, 333, 1094, 48, 291, 333, 4890, 636, 1057, 1172, 25, 1630, 37340, 1057, 7134, 3019, 81, 11936, 377, 4890, 48, 291, 333, 4890, 636, 1057, 1141, 3019, 725, 32, 7468, 377, 4890, 48, 397, 576, 1094, 48, 397, 333, 1094, 48, 291, 333, 4890, 636, 1057, 1172, 25, 1630, 37340, 1057, 7134, 3019, 81, 11334, 377, 4890, 48, 291, 333, 4890, 636, 1057, 1141, 3019, 725, 32, 22583, 377, 4890, 48, 397, 576, 1094, 48, 284, 576, 1906, 48, 284, 333, 1906, 48, 397, 333, 1094, 48, 291, 333, 4890, 636, 1057, 1172, 25, 1630, 37340, 1057, 7134, 3019, 81, 28751, 377, 4890, 48, 291, 333, 4890, 636, 1057, 1141, 3019, 725, 32, 16997, 377, 4890, 48, 291, 333, 4890, 636, 1057, 14787, 25, 2878, 2159, 45, 9021, 24, 1837, 45, 99, 377, 4890, 48, 397, 576, 1094, 48, 284, 576, 1906, 48, 334, 576, 3039, 48, 203, 377, 3337, 48, 203, 2993, 203, 1319, 4241, 81, 12908, 280, 5881, 203, 46, 3337, 48, 334, 333, 1473, 443, 347, 24883, 11936, 3728, 20, 804, 347, 7468, 5952, 35, 413, 284, 333, 2433, 636, 347, 3374, 81, 7745, 413, 2700, 377, 2433, 48, 284, 333, 2433, 636, 347, 1311, 20, 1630, 37340, 347, 7134, 413, 9093, 6848, 13898, 19808, 9498, 15486, 6848, 6884, 26766, 9498, 377, 2433, 48, 284, 333, 2433, 636, 347, 681, 81, 12118, 413, 5952, 377, 2433, 48, 284, 333, 2433, 636, 347, 5784, 81, 426, 413, 32093, 3581, 9498, 36529, 19906, 6345, 19808, 377, 2433, 48, 284, 333, 2433, 636, 347, 1648, 413, 37, 32, 34, 32, 38, 377, 2433, 48, 284, 333, 2433, 636, 347, 11794, 20, 1630, 37340, 347, 7134, 413, 12880, 476, 488, 6875, 38169, 20857, 549, 2159, 45, 35, 42, 37, 32, 404, 476, 50, 7253, 32, 508, 24, 1837, 2691, 2433, 48, 284, 333, 2433, 636, 347, 8680, 20, 1630, 37340, 347, 7134, 413, 32093, 3581, 9498, 36529, 19906, 6345, 19808, 308, 9528, 15425, 7157, 8067, 6345, 27, 225, 21979, 6848, 19299, 8067, 377, 2433, 48, 284, 333, 2433, 636, 347, 12787, 413, 525, 555, 35, 42, 37, 404, 476, 32, 933, 32, 716, 33, 89, 2371, 615, 418, 282, 17454, 2433, 48, 284, 333, 2433, 636, 347, 17583, 413, 12880, 476, 488, 6875, 38169, 20857, 377 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 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, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 313, 28225, 570, 2565, 20, 203, 505, 11794, 505, 280, 313, 10581, 225, 36, 34, 35, 36, 31, 36, 34, 35, 37, 30, 886, 11929, 101, 5412, 20, 203, 505, 1648, 505, 280, 313, 35, 32, 34, 20, 203, 505, 42086, 505, 280, 313, 28225, 570, 2565, 20, 203, 505, 1935, 505, 280, 313, 4520, 89, 2565, 50, 10690, 32, 7182, 20, 203, 505, 1517, 505, 280, 313, 20235, 20, 203, 505, 770, 505, 280, 313, 35, 33, 37, 35, 33, 35, 37, 20, 203, 465, 298, 2209, 6634, 203, 465, 3995, 203, 465, 316, 203, 465, 5237, 203, 465, 13625, 203, 1070, 638, 1040, 1188, 12894, 11161, 30, 3380, 81, 891, 203, 1070, 309, 775, 25730, 32, 1217, 1188, 319, 203, 465, 18792, 203, 823, 4581, 924, 26, 984, 711, 284, 3097, 203, 823, 19526, 40672, 26, 984, 711, 284, 313, 6647, 1048, 328, 3488, 432, 19526, 20, 284, 665, 1156, 1664, 3207, 784, 30, 1760, 30, 5585, 711, 291, 3124, 280, 330, 3817, 8345, 44, 2149, 967, 19436, 20, 2473, 1643, 26, 3801, 30, 1760, 27, 291, 3268, 3667, 1664, 3207, 784, 30, 3124, 27, 203, 823, 4865, 1868, 26, 1473, 711, 284, 617, 21589, 280, 316, 32, 6993, 26, 100, 10255, 101, 28, 4800, 78, 105, 29, 2502, 78, 101, 19650, 105, 29, 4586, 683, 284, 22334, 3908, 81, 26986, 3123, 81, 2203, 280, 330, 1853, 372, 312, 4865, 1411, 4881, 526, 16962, 330, 284, 330, 1793, 1346, 1604, 13383, 25, 284, 43450, 81, 33495, 81, 2203, 280, 330, 3817, 13118, 308, 12172, 526, 44, 477, 46, 1959, 48, 17633, 753, 48, 4377, 1130, 25, 284, 477, 17614, 284, 665, 13118, 81, 297, 81, 1959, 26, 6933, 30, 1344, 711, 291, 345, 280, 9011, 1114, 21589, 32, 2872, 26, 878, 27, 291, 442, 345, 438, 646, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 1344, 711, 291, 415, 646, 630, 1114, 21589, 32, 2872, 26, 878, 711, 324, 3636, 19526, 40672, 26, 878, 30, 630, 32, 13727, 81, 33495, 81, 2203, 27, 291, 7937, 280, 316, 32, 2998, 17079, 21194, 101, 44292, 1344, 27, 291, 415, 2069, 26, 8395, 27, 333, 225, 35, 44, 324, 3636, 19526, 40672, 26, 878, 30, 630, 32, 13727, 81, 33495, 81, 2203, 27, 291, 630, 32, 1959, 280, 7937, 77, 34, 79, 291, 630, 32, 2132, 280, 7937, 77, 35, 10056, 203, 589, 21454, 81, 371, 26, 4875, 30, 1202, 30, 1244, 47, 2521, 711, 284, 415, 646, 8814, 44, 291, 442, 1244, 284, 415, 646, 6937, 26, 4875, 30, 13625, 32, 4806, 711, 291, 3636, 10091, 463, 1131, 3627, 2298, 1712, 2124, 312, 5436, 683, 284, 415, 646, 18491, 328, 1202, 44, 291, 442, 8814, 32, 371, 26, 678, 30, 1244, 27, 284, 436, 1202, 81, 2050, 328, 1202, 32, 2998, 3949, 7831, 291, 415, 646, 6937, 26, 4875, 30, 13625, 32, 4806, 711, 324, 442, 1244, 291, 415, 646, 1202, 81, 2050, 328, 8814, 44, 324, 442, 1244, 291, 8814, 280, 8814, 77, 678, 81, 2050, 79, 284, 442, 8814, 203, 823, 36570, 26, 1473, 711, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 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, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 8, 8, 8, 4, 4, 7, 8, 8, 8, 7, 7, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 10, 11, 9, 10, 9, 10, 9, 5, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 9, 10, 8, 9, 8, 9, 8, 5, 5, 7, 9, 9, 10, 9, 9, 10, 11, 11, 11, 11, 11, 9, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 8, 8, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 9, 10, 9, 9, 10, 11, 11, 11, 11, 11, 9, 4, 4, 7, 8, 6, 6, 7, 8, 7, 4, 4, 7, 8, 6, 6, 7, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 4, 3, 3, 3, 5, 2, 2, 3, 4, 6, 7, 6, 6, 7, 8, 6, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 5, 5, 3, 3, 3, 5, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 7, 3, 3, 5, 6, 8, 9, 8, 8, 9, 10, 8, 5, 5, 7, 4, 4, 5, 6, 8, 8, 7, 7, 5, 5, 5, 7, 4, 4, 6, 6, 7, 8, 8, 8, 7, 2, 2, 3, 0, 1, 1, 2, 3, 2, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 7, 7, 0, 0, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 12, 12, 0, 12, 12, 0, 0, 0, 13, 13, 0, 0, 1, 2, 13, 13, 0, 14, 14, 0, 15, 15, 1, 2, 1, 2, 15, 15, 0, 16, 16, 1, 2, 1, 2, 16, 16, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 0, 17, 17, 1, 2, 1, 2, 17, 17, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 0, 2, 0, 18, 18, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 18, 18, 0, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 3, 3, 0, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 5, 5, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 5, 5, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 19, 19, 2, 1, 2, 19 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 14785, 32, 12023, 32, 10705, 32, 2958, 32, 10705, 1188, 20598, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 619, 343, 2516, 81, 1356, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 3995, 81, 7389, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 706, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3995, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 5099, 9693, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 5523, 81, 10340, 81, 3106, 203, 823, 358, 10553, 11196, 8530, 1006, 26, 858, 32, 7233, 711, 334, 665, 894, 6221, 1027, 20469, 30947, 750, 16218, 26, 784, 711, 284, 1929, 81, 4820, 280, 225, 35, 34, 284, 3995, 81, 7389, 32, 470, 81, 3855, 81, 7389, 26, 35, 36, 37, 38, 27, 284, 2266, 280, 7744, 81, 4156, 32, 2405, 26, 291, 7744, 81, 4156, 32, 1497, 26, 3855, 81, 4156, 32, 3855, 81, 10586, 2009, 35, 1130, 319, 1929, 81, 4820, 471, 291, 343, 2516, 81, 1356, 32, 410, 37, 36, 27, 284, 2379, 81, 26892, 280, 20598, 81, 4156, 1114, 26892, 81, 605, 81, 13081, 26, 16189, 2266, 30, 1929, 81, 4820, 27, 284, 4950, 4950, 428, 7151, 81, 26892, 79, 280, 20598, 81, 4156, 1114, 6967, 81, 1131, 26, 16189, 5518, 2266, 30, 428, 7151, 81, 26892, 1130, 284, 5523, 280, 706, 81, 1867, 81, 4156, 32, 20397, 4084, 26, 291, 13802, 47, 36, 39, 30, 291, 343, 2516, 6020, 7151, 81, 26892, 32, 12010, 614, 291, 24195, 6020, 7151, 81, 26892, 32, 371, 81, 3229, 27944, 284, 39119, 81, 520, 280, 5523, 32, 22657, 2009, 7151, 81, 26892, 1130, 284, 5523, 81, 10340, 81, 3106, 32, 669, 81, 3926, 81, 10340, 26, 291, 5523, 81, 10340, 81, 3106, 32, 4084, 7981, 26, 3926, 30, 428, 22657, 81, 520, 79, 319, 225, 36, 39, 490, 284, 963, 81, 6800, 280, 5523, 32, 286, 3926, 346, 284, 623, 630, 32, 858, 81, 2848, 346, 619, 13597, 44, 397, 4886, 32, 3264, 81, 9578, 81, 19321, 922, 1945, 346, 397, 5099, 280, 5099, 9693, 32, 29767, 346, 397, 11154, 280, 5523, 81, 10340, 81, 3106, 32, 1366, 81, 3926, 81, 33762, 26, 5685, 47, 5685, 27, 397, 436, 617, 328, 2155, 26, 36, 39, 711, 291, 13597, 32, 1945, 2009, 541, 81, 6800, 1130, 397, 5099, 32, 1357, 81, 4048, 346, 397, 5099, 32, 2524, 26, 10459, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 7, 4, 4, 6, 6, 9, 9, 8, 9, 8, 8, 8, 11, 11, 10, 11, 10, 14, 14, 14, 13, 14, 14, 14, 13, 15, 14, 11, 11, 12, 12, 10, 8, 8, 10, 10, 10, 9, 10, 10, 10, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 9, 9, 8, 4, 4, 7, 7, 9, 9, 9, 8, 6, 6, 9, 9, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 10, 10, 10, 9, 4, 4, 6, 6, 9, 9, 9, 9, 8, 9, 9, 8, 8, 8, 9, 10, 10, 8, 8, 8, 10, 9, 12, 12, 12, 11, 12, 10, 8, 8, 9, 13, 13, 13, 12, 13, 13, 13, 12, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 9, 4, 4, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 7, 10, 10, 10, 10, 9, 10, 10, 9, 10, 9, 9, 12, 12, 12, 11, 10, 10, 11, 11, 9, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 5, 10, 11, 11, 11, 10, 8, 8, 5, 5, 5, 11, 12, 12, 12, 12, 12, 11, 10, 9, 6, 6, 8, 8, 11, 10, 11, 10, 6, 6, 8, 8, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 6, 6, 7, 7, 7, 9, 10, 10, 9, 7, 7, 11, 12, 11, 13, 13, 13, 12, 6, 6, 9, 10, 10, 10, 9, 6, 6, 9, 10, 9, 10, 9, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 1, 8, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 3, 3, 2, 2, 2, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 0, 0, 13, 13, 1, 1, 1, 1, 2, 0, 1, 2, 2, 13, 13, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 1, 1, 1, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 3, 0, 0, 0, 1, 2, 2, 1, 1, 5, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 9, 0, 2, 2, 2, 1, 0, 0, 9, 9, 9, 0, 2, 2, 2, 2, 2, 1, 2, 1, 3, 3, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 0, 14, 14, 0, 0, 1, 1, 1, 1, 14, 14, 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 ]
[ 1070, 8527, 32, 8538, 1188, 4549, 619, 1542, 81, 8538, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 203, 1070, 8527, 32, 525, 1188, 17874, 11445, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 878, 203, 1070, 8527, 32, 4338, 32, 9947, 32, 1439, 1188, 10838, 1397, 13976, 30, 7049, 13976, 30, 4328, 203, 1070, 8527, 32, 4338, 32, 9947, 32, 5110, 1188, 308, 6276, 959, 13976, 30, 715, 12379, 959, 3442, 1397, 13976, 30, 3772, 5287, 1074, 27, 203, 823, 3720, 13976, 26, 1222, 13976, 711, 284, 2815, 280, 2149, 284, 2234, 81, 823, 280, 1665, 284, 3117, 81, 965, 280, 1665, 284, 665, 622, 81, 4332, 26, 784, 711, 291, 442, 630, 32, 4332, 32, 2991, 346, 284, 665, 622, 81, 599, 81, 823, 26, 784, 711, 291, 442, 630, 32, 599, 81, 823, 284, 665, 622, 81, 599, 26, 784, 30, 2234, 81, 823, 711, 291, 442, 2234, 81, 823, 14605, 784, 32, 371, 81, 599, 81, 5321, 1157, 284, 665, 622, 81, 599, 81, 5321, 26, 784, 711, 291, 10306, 280, 5053, 4332, 950, 630, 32, 371, 81, 4332, 9741, 291, 415, 630, 32, 1357, 32, 1959, 328, 2726, 3705, 370, 330, 4747, 7831, 324, 10306, 32, 1877, 1371, 400, 330, 605, 950, 630, 32, 1357, 32, 3705, 30, 400, 330, 2536, 950, 630, 32, 1357, 32, 14137, 30, 324, 1790, 291, 442, 10306, 284, 665, 622, 81, 3127, 81, 965, 26, 784, 711, 291, 415, 630, 32, 3127, 81, 965, 44, 324, 1984, 280, 7650, 81, 878, 26, 784, 32, 3127, 81, 965, 27, 291, 813, 44, 324, 3636, 19444, 462, 631, 30096, 26, 400, 313, 2023, 3834, 372, 5668, 372, 32, 14112, 312, 3117, 81, 965, 7144, 291, 442, 1984, 284, 665, 2234, 81, 1327, 26, 784, 30, 2234, 711, 291, 442, 17874, 11445, 26, 784, 32, 371, 81, 3127, 81, 965, 1157, 284, 665, 2234, 81, 5790, 26, 784, 30, 2234, 711, 291, 442, 630, 32, 3169, 81, 452, 81, 1986, 26, 784, 32, 371, 81, 1819, 81, 605, 26, 599, 47, 599, 490, 203, 823, 3678, 1241, 13976, 26, 1241, 13976, 30, 12379, 959, 13976, 711, 284, 665, 622, 81, 599, 81, 823, 26, 784, 711, 291, 415, 630, 32, 599, 81, 823, 44, 324, 442, 630, 32, 599, 81, 823, 291, 813, 44, 324, 415, 630, 32, 1160, 438, 646, 1665, 44, 400, 1542, 280, 630, 32, 1160, 324, 4348, 19326, 26, 784, 30, 330, 1473, 683, 461, 630, 32, 1473, 438, 646, 1665, 44, 400, 1542, 280, 630, 32, 1473, 3667, 823, 505, 324, 813, 44, 400, 1542, 280, 630, 32, 371, 81, 37741, 922, 1160, 324, 442, 1542, 81, 8538, 32, 2816, 48869, 81, 5792, 26, 1160, 27, 284, 665, 622, 81, 599, 81, 5321, 26, 784, 711, 291, 10306, 280, 2599, 26, 1243, 1241, 13976, 30, 630, 547, 371, 81, 599, 81, 5321, 346, 291, 10306, 32, 1877, 14178, 2386, 950, 630, 32, 1473, 1748, 291, 442, 10306, 284, 665, 622, 81, 3127, 81, 965, 26, 784, 711, 291, 415, 630, 32, 3127, 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, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 7, 7, 7, 11, 10, 11, 11, 11, 11, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 8, 10, 11, 11, 11, 10, 4, 4, 5, 8, 9, 7, 8, 6, 6, 9, 9, 7, 9, 9, 5, 5, 9, 10, 9, 10, 10, 13, 13, 11, 13, 14, 12, 13, 10, 10, 10, 13, 13, 11, 13, 14, 12, 13, 10, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 8, 8, 10, 10, 10, 12, 11, 12, 12, 12, 10, 5, 5, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 7, 10, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 11, 10, 11, 9, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 7, 8, 9, 9, 9, 5, 5, 6, 6, 6, 8, 10, 11, 9, 9, 9, 8, 8, 8, 11, 11, 12, 13, 8, 8, 9, 12, 13, 12, 12, 14, 14, 10, 10, 12, 13, 11, 11, 11, 9, 9, 9, 12, 12, 14, 15, 13, 14, 14, 8, 8, 9, 9, 9, 12, 12, 15, 16, 16, 16, 15, 14, 7, 7, 8, 11, 11, 10, 11, 11, 11, 11, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 11, 11, 9, 10, 11, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7 ]
[ 0, 0, 1, 2, 0, 0, 3, 3, 2, 2, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 6, 6, 1, 2, 1, 1, 2, 6, 6, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 0, 2, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 2, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 3, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 4, 4, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 9, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 7, 7, 1, 1, 2, 1, 1, 2, 2, 3, 3, 2, 7, 7, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 2, 2, 1, 4, 4, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2 ]
[ 465, 6436, 619, 2065, 203, 465, 13134, 32, 5176, 619, 4904, 203, 1070, 298, 1269, 385, 7550, 32, 15210, 32, 541, 1188, 5582, 203, 1070, 298, 1269, 385, 7550, 32, 15210, 32, 266, 695, 1188, 319, 203, 823, 1224, 41226, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 5176, 280, 1665, 291, 630, 32, 96, 81, 18806, 280, 1665, 291, 630, 32, 2024, 280, 5582, 463, 61, 41226, 683, 284, 477, 22367, 1612, 6312, 463, 61, 41226, 683, 284, 665, 10618, 26, 784, 30, 488, 30, 310, 81, 18806, 47, 39, 30, 310, 81, 10331, 47, 35, 30, 3219, 1057, 93, 31, 23013, 1046, 7831, 291, 420, 30, 341, 30, 1929, 52, 5986, 280, 488, 32, 3229, 291, 630, 32, 96, 81, 18806, 280, 310, 81, 18806, 291, 1593, 280, 2065, 32, 12091, 26, 63, 30, 308, 105, 28, 90, 30, 1929, 52, 5986, 490, 291, 38498, 280, 4904, 32, 61, 41226, 26, 96, 81, 18806, 47, 96, 81, 18806, 30, 310, 81, 10331, 47, 96, 81, 10331, 30, 3219, 47, 1664, 27, 291, 9011, 280, 38498, 32, 4698, 81, 9356, 26, 74, 27, 291, 630, 32, 5176, 280, 2065, 32, 12091, 26, 6933, 30, 308, 90, 30, 341, 490, 291, 442, 630, 32, 5176, 284, 477, 11689, 1612, 6312, 37, 463, 61, 41226, 683, 284, 665, 6867, 26, 784, 30, 1519, 30, 23334, 1057, 4108, 370, 1963, 1208, 1057, 47267, 370, 12809, 47, 2521, 711, 291, 630, 32, 2024, 32, 3399, 26, 784, 32, 5176, 30, 630, 32, 96, 81, 18806, 30, 1519, 47, 983, 30, 23334, 47, 37654, 30, 1963, 1208, 47, 1489, 1208, 30, 12809, 47, 12420, 27, 284, 477, 3933, 1612, 6312, 37, 463, 61, 41226, 683, 284, 665, 2503, 26, 784, 30, 23334, 1057, 4108, 370, 1963, 1208, 1057, 47267, 370, 12809, 47, 2521, 711, 291, 630, 32, 2024, 32, 3399, 26, 784, 32, 5176, 30, 630, 32, 96, 81, 18806, 30, 23334, 47, 37654, 30, 1963, 1208, 47, 1489, 1208, 30, 12809, 47, 12420, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 10, 10, 10, 2, 2, 6, 6, 6, 6, 8, 8, 8, 3, 3, 4, 5, 6, 5, 5, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 6, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 8, 9, 9, 7, 7, 8, 9, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 7, 7, 9, 10, 9, 10, 9, 9, 12, 11, 12, 10, 10, 11, 11, 10, 5, 5, 7, 7, 9, 10, 10, 9, 11, 11, 11, 10, 11, 11, 11, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 10, 11, 9, 5, 5, 7, 7, 9, 10, 10, 10, 9, 10, 9, 5, 5, 8, 9, 7, 7, 9, 10, 9, 10, 9, 9, 11, 10, 10, 10, 5, 5, 6, 7, 8, 2, 2, 6, 6, 6, 6, 6, 8, 8, 8, 3, 3, 4, 5, 6, 5, 5, 5, 5, 6, 8, 8, 5, 7, 6, 8, 8, 5, 6, 7, 5, 4, 4, 9, 10, 8, 9, 8, 10, 9, 10, 8, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 10, 9, 10, 10, 8, 8, 9, 10, 8, 2, 2, 6, 6, 6, 6, 6, 8, 8, 8, 3, 3, 4, 5, 6, 5, 5, 6, 8, 8, 5, 7, 6, 8, 8, 5, 6, 7, 5, 4, 4, 9, 10, 8, 9, 8, 10, 9, 10, 8, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 8, 10, 9, 10, 10, 8, 8, 9, 10, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 4, 3, 3, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 9, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 3, 3, 3, 3, 3, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 4, 4, 6, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 5, 1, 2, 2, 0, 7, 1, 2, 2, 9, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 0, 9, 2, 2, 1, 1, 11, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 1, 2, 2, 0, 5, 1, 2, 2, 7, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 0, 7, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 1133, 203, 465, 2322, 203, 465, 7138, 203, 465, 19571, 203, 1070, 18792, 32, 21332, 1188, 5523, 619, 14323, 203, 1070, 37330, 1186, 1188, 358, 81, 2950, 30, 358, 81, 2930, 203, 1070, 37330, 1186, 32, 2852, 32, 1761, 32, 6143, 2459, 1188, 14225, 2459, 203, 1070, 37330, 1186, 32, 2852, 32, 13395, 32, 19386, 1188, 48418, 203, 1070, 37330, 1186, 32, 2852, 32, 13395, 32, 3021, 11691, 1188, 38339, 2265, 203, 1070, 37330, 1186, 32, 2852, 32, 13395, 32, 720, 1188, 1626, 720, 13651, 29070, 30, 46354, 203, 1070, 37330, 1186, 32, 2324, 1598, 32, 1486, 32, 10262, 32, 11208, 1188, 27724, 203, 1070, 37330, 1186, 32, 21460, 1598, 32, 1486, 32, 21460, 1486, 1188, 40207, 1486, 203, 1070, 37330, 1186, 32, 21460, 1598, 32, 6143, 32, 21460, 41141, 13395, 1188, 40207, 41141, 13395, 203, 1070, 37330, 1186, 32, 750, 8596, 1598, 32, 1486, 32, 42580, 1188, 2398, 1572, 203, 505, 68, 3746, 779, 505, 280, 3941, 606, 11033, 203, 28322, 81, 2474, 280, 330, 21460, 33, 21460, 6143, 25, 203, 89, 16377, 36228, 280, 38339, 2265, 346, 203, 823, 40207, 6143, 26, 6143, 2459, 30, 40207, 41141, 13395, 711, 334, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 284, 14225, 2459, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 27, 284, 40207, 41141, 13395, 3667, 1664, 3207, 784, 27, 284, 630, 32, 2796, 2924, 280, 4247, 284, 630, 32, 33234, 1533, 280, 1605, 284, 630, 32, 1449, 3839, 280, 225, 34, 284, 630, 32, 33234, 2424, 280, 1605, 284, 630, 32, 1545, 88, 1486, 280, 1665, 284, 630, 32, 1545, 4084, 280, 14323, 32, 4084, 346, 284, 630, 32, 1545, 383, 4084, 280, 1605, 284, 630, 32, 1007, 4542, 280, 4247, 284, 630, 32, 2613, 974, 280, 4247, 284, 630, 32, 2435, 4542, 280, 4247, 284, 630, 32, 2135, 974, 3457, 280, 2149, 284, 630, 32, 28208, 2597, 280, 1665, 284, 630, 32, 28208, 2597, 34586, 280, 1665, 284, 630, 32, 20117, 2597, 280, 3177, 284, 630, 32, 17577, 1792, 2597, 280, 225, 34, 284, 630, 32, 1347, 28694, 8211, 280, 225, 34, 284, 630, 32, 12085, 3839, 280, 2149, 284, 630, 32, 12085, 27159, 280, 2149, 284, 630, 32, 2811, 280, 3177, 284, 630, 32, 1545, 383, 3021, 280, 2149, 284, 630, 32, 2796, 4276, 280, 2149, 334, 665, 7379, 26, 784, 711, 284, 630, 32, 2796, 2924, 280, 630, 32, 404, 81, 37882, 463, 4152, 2924, 370, 3391, 330, 3197, 1186, 32, 21460, 1598, 32, 6143, 32, 21460, 4152, 683, 284, 630, 32, 33234, 1533, 280, 630, 32, 404, 81, 37882, 463, 33234, 1533, 370, 2107, 4077, 370, 330, 982, 13560, 370, 330, 15961, 3490, 284, 630, 32, 1449, 3839, 280, 630, 32, 404, 81, 37882, 463, 2708, 3839, 705, 2861, 370, 630, 32, 404, 81, 37882, 463, 2708, 3839, 370, 225, 39, 34, 34, 34, 490, 284, 7669, 70, 635, 1690, 280, 630, 32, 404 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 2, 2, 0, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 9, 7, 7, 9, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 8, 11, 11, 9, 11, 11, 11, 9, 11, 11, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 8, 10, 11, 11, 11, 10, 12, 12, 12, 10, 11, 11, 11, 11, 10, 4, 4, 7, 7, 7, 6, 6, 8, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 7, 7, 3, 3, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 1, 4, 1, 6, 6, 9, 9, 0, 0, 10, 10, 0, 1, 2, 1, 4, 1, 6, 10, 10, 0, 11, 11, 0, 1, 2, 1, 4, 1, 6, 6, 11, 11, 0, 0, 12, 12, 0, 1, 2, 1, 4, 1, 6, 12, 12, 0, 0, 0, 12, 12, 0, 13, 13, 0, 1, 2, 2, 1, 4, 1, 6, 1, 8, 13, 13, 0, 14, 14, 0, 1, 2, 2, 1, 4, 1, 6, 6, 14, 14, 0, 0, 15, 15, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 15, 15, 0, 0, 0, 16, 16, 0, 1, 2, 2, 2, 1, 4, 1, 6, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 20, 20, 1, 2, 1, 1, 2, 2, 3, 3, 2, 20, 20, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 3, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2 ]
[ 1070, 34856, 32, 14632, 1188, 11229, 203, 465, 34856, 32, 2957, 203, 14594, 280, 34856, 32, 2957, 32, 14594, 203, 823, 41041, 1083, 1810, 620, 3122, 1799, 265, 26, 9582, 32, 1761, 2905, 3122, 1799, 265, 711, 284, 665, 7533, 81, 36520, 26, 784, 711, 291, 442, 45623, 32, 14632, 32, 4325, 81, 3292, 81, 36520, 284, 665, 617, 1376, 1799, 81, 1473, 26, 784, 30, 4020, 30, 7533, 81, 4642, 711, 291, 1326, 81, 2285, 280, 7533, 81, 4642, 710, 1357, 81, 2285, 785, 291, 1980, 81, 681, 280, 1326, 81, 2285, 710, 2386, 81, 681, 785, 291, 4117, 81, 22725, 280, 1980, 81, 681, 710, 5566, 81, 1232, 785, 291, 29119, 81, 3994, 280, 4020, 32, 44966, 2105, 32, 371, 463, 4325, 81, 3994, 370, 12797, 291, 9991, 81, 1170, 81, 1232, 280, 29119, 81, 3994, 32, 371, 463, 9660, 81, 1170, 81, 1232, 370, 12797, 291, 442, 9991, 81, 1170, 81, 1232, 32, 371, 26, 466, 26, 5566, 81, 22725, 471, 225, 34, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 0, 3, 2, 2, 4, 5, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 7, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 8, 8, 7, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 8, 8, 7, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 9, 10, 10, 8, 9, 8, 10, 10, 10, 10, 8, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 4, 4, 5, 8, 8, 8, 8, 7, 8, 7, 9, 9, 10, 10, 10, 9, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 5, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 13411, 505, 280, 3941, 606, 11033, 203, 1070, 617, 35138, 1188, 319, 203, 1070, 2738, 1464, 32, 5098, 1188, 7767, 203, 465, 2322, 619, 617, 500, 203, 465, 5237, 619, 617, 3731, 203, 589, 3219, 10325, 2262, 284, 1188, 617, 35138, 30, 2738, 1464, 284, 739, 9689, 2806, 26, 3890, 11645, 500, 32, 12757, 32, 371, 440, 19794, 392, 313, 6876, 2113, 1090, 9899, 11645, 3731, 3667, 9362, 9818, 5039, 7888, 1157, 284, 1230, 10325, 280, 617, 35138, 32, 1664, 10325, 346, 284, 436, 1202, 30, 786, 328, 617, 35138, 3667, 2665, 9818, 3028, 2262, 291, 415, 1202, 77, 34, 44, 38, 79, 610, 330, 36597, 16436, 556, 1202, 328, 2726, 39723, 370, 330, 4050, 69, 7831, 324, 39506, 26, 35138, 30, 1202, 30, 786, 27, 284, 442, 1230, 10325, 203, 589, 1477, 81, 1489, 2262, 284, 1188, 617, 35138, 30, 2738, 1464, 284, 18696, 280, 617, 35138, 32, 1366, 81, 1489, 346, 284, 415, 19326, 2176, 35138, 30, 330, 45194, 7831, 291, 2738, 1464, 32, 45194, 280, 617, 35138, 32, 45194, 284, 415, 19326, 2176, 35138, 30, 330, 6224, 81, 36191, 69, 7831, 291, 2738, 1464, 32, 6224, 81, 36191, 69, 280, 617, 35138, 32, 6224, 81, 36191, 69, 284, 442, 18696, 203, 1270, 44, 284, 1401, 81, 678, 203, 7343, 3270, 924, 44, 284, 645, 1401, 81, 678, 1188, 1401, 81, 678, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 0, 1, 1, 2, 2, 3, 0, 1, 1, 2, 2, 1, 1, 3, 5, 3, 3, 5, 2, 2, 5, 5, 5, 7, 6, 10, 9, 10, 8, 9, 8, 10, 10, 8, 10, 10, 5, 5, 6, 10, 9, 10, 10, 9, 9, 8, 2, 2, 5, 4, 4, 7, 6, 7, 7, 6, 2, 2, 3, 4, 4, 3, 3, 7, 6, 7, 7, 6, 5, 3, 3, 5, 8, 10, 9, 10, 8, 7, 7, 9, 9, 6, 6, 7, 7, 10, 10, 8, 10, 10, 10, 5, 5, 9, 10, 9, 9, 9, 9, 9, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 3, 3, 5, 2, 2, 4, 4, 7, 6, 7, 7, 7, 6, 2, 2, 3, 5, 6, 5, 5, 7, 7, 3, 3, 8, 7, 8, 6, 6, 8, 7, 8, 2, 2, 3, 5, 6, 5, 5, 7, 7, 7, 7, 7, 3, 3, 8, 7, 8, 8, 8, 8, 6, 6, 8, 7, 8, 8, 8, 8, 2, 2, 3, 0, 1, 1, 1, 1, 4, 4, 1, 2, 2, 3, 2, 2, 2, 4, 6, 6, 4, 4, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 1, 1, 2, 0, 4, 4, 1, 1, 2, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 3, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 7, 7, 7, 7, 0, 0, 7, 3, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 13625, 1188, 33953, 203, 465, 5741, 203, 465, 1133, 203, 1070, 11993, 1188, 11406, 81, 6229, 1392, 30, 6204, 30, 14580, 30, 1682, 30, 5648, 30, 1756, 30, 11713, 30, 16545, 30, 9936, 203, 465, 5601, 203, 1070, 6765, 17594, 32, 913, 1188, 8452, 81, 8439, 1099, 31852, 4516, 81, 44022, 203, 1070, 6765, 17594, 32, 1262, 1188, 3903, 30, 3309, 203, 1070, 6765, 17594, 32, 4554, 1188, 5111, 81, 31667, 203, 465, 6765, 17594, 32, 1040, 32, 6572, 619, 11171, 81, 1040, 203, 1070, 638, 286, 20782, 1188, 1513, 27807, 265, 203, 1070, 638, 33477, 1188, 6407, 19842, 30, 9527, 35263, 620, 30, 36649, 620, 203, 325, 11406, 81, 6229, 1392, 44, 284, 645, 6765, 17594, 32, 1163, 81, 9150, 1188, 3383, 2711, 284, 645, 638, 1188, 4422, 81, 8200, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 4601, 81, 37420, 280, 313, 2929, 81, 8200, 20, 203, 8055, 81, 10539, 81, 37420, 81, 44128, 280, 313, 2929, 81, 8200, 81, 6368, 20, 203, 20736, 81, 3307, 280, 313, 1262, 32, 2929, 81, 8200, 20, 203, 20736, 81, 4530, 280, 225, 35, 203, 24357, 81, 21392, 280, 225, 35, 34, 203, 32616, 2418, 81, 21392, 280, 225, 35, 34, 203, 16779, 81, 20568, 81, 8449, 280, 313, 4229, 20, 203, 16779, 81, 2418, 13407, 280, 313, 417, 2356, 20, 203, 16779, 81, 76, 1434, 52, 4153, 280, 313, 28604, 16640, 20, 203, 20009, 81, 16779, 69, 280, 313, 16717, 20, 203, 20009, 81, 11052, 14972, 9135, 280, 313, 35089, 20, 203, 18250, 1345, 81, 10539, 280, 313, 17360, 20, 203, 42974, 81, 10539, 280, 313, 11965, 20, 203, 30916, 81, 6191, 81, 8711, 280, 313, 1163, 81, 3038, 20, 203, 30916, 81, 45844, 2893, 280, 313, 11613, 20, 203, 30916, 81, 4975, 280, 313, 496, 20, 203, 758, 4964, 927, 1345, 81, 10539, 81, 39718, 81, 18382, 280, 225, 42, 40, 38, 34, 34, 319, 225, 37, 34, 203, 50, 2437, 32, 101, 26, 18645, 47, 1815, 30, 20073, 47, 1815, 27, 203, 823, 9145, 2711, 44, 284, 1359, 81, 9150, 44, 1756, 77, 466, 79, 280, 5601, 32, 930, 26, 13956, 47, 470, 30, 7763, 47, 470, 27, 284, 12215, 44, 1756, 77, 8924, 77, 466, 30, 596, 3212, 280, 5601, 32, 930, 26, 13956, 47, 470, 30, 7763, 47, 470, 27, 284, 22959, 44, 1756, 77, 8924, 77, 466, 30, 596, 3212, 280, 5601, 32, 930, 26, 13956, 47, 470, 30, 7763, 47, 470, 27, 284, 44047, 44, 5648, 77, 466, 79, 280, 5601, 32, 930, 26, 1536, 47, 2521, 27, 284, 1542, 44, 5648, 77, 466, 79, 280, 5601, 32, 930, 26, 1536, 47, 2521, 27, 284, 636, 44, 5648, 77, 466, 79, 280, 5601, 32, 930, 26, 1536, 47, 2521, 27, 284, 2535, 81, 1648, 44, 5648, 77, 466, 79, 280, 5601, 32, 930, 26, 1536, 47, 2521, 27, 284, 4729, 81, 2929, 81, 314, 44, 5648, 77, 466, 79, 280, 5601, 32, 930, 26, 1536, 47, 2521, 27, 284, 5951, 81, 314, 44, 5648, 77, 466, 79, 280, 5601, 32, 930, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 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, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 5, 4, 5, 5, 5, 3, 3, 5, 2, 2, 3, 3, 3, 5, 5, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 0, 2, 5, 4, 5, 4, 6, 5, 6, 4, 4, 5, 6, 4, 1, 2, 2, 3, 2, 2, 2, 6, 6, 5, 5, 8, 10, 8, 5, 5, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 3, 3, 5, 5, 8, 11, 11, 13, 11, 11, 11, 5, 5, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 3, 3, 5, 5, 8, 11, 11, 13, 11, 11, 11, 5, 5, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 3, 3, 5, 5, 8, 10, 8, 5, 5, 7, 8, 7, 9, 8, 9, 7, 3, 3, 5, 5, 8, 10, 8, 5, 5, 7, 8, 7, 9, 8, 9, 7, 3, 3, 5, 5, 8, 10, 8, 5, 5, 7, 8, 7, 9, 8, 9, 7, 3, 3, 6, 6, 5, 5, 8, 10, 8, 5, 5, 7, 8, 7, 9, 8, 9, 7, 3, 3, 6, 6, 6, 6, 5, 5, 8, 10, 8, 5, 5, 7, 8, 7, 9, 8, 9, 7, 3, 3, 6, 6, 5, 5, 8, 10, 8, 5, 5, 7, 8, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 0, 2, 0, 4, 1, 1, 2, 2, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 10, 10, 0, 10, 10, 0, 10, 10, 0, 0, 10, 10, 0, 0, 11, 11, 1, 1, 1, 11, 11, 11, 0, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 30, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 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, 9991, 32, 8524, 32, 3613, 1188, 7841, 203, 1070, 28520, 32, 3477, 32, 4573, 32, 1299, 12376, 1188, 20264, 81, 4298, 203, 1070, 9991, 32, 3477, 32, 2304, 1188, 739, 81, 1647, 81, 1132, 203, 1070, 638, 9692, 500, 81, 1647, 1188, 2108, 25027, 500, 2459, 203, 823, 2108, 4539, 2459, 26, 1006, 25027, 500, 2459, 711, 284, 2297, 280, 20264, 81, 4298, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 3613, 81, 1945, 81, 9692, 500, 81, 7621, 280, 7841, 463, 19441, 32, 3477, 32, 4573, 32, 1299, 12376, 32, 7547, 81, 4298, 32, 1945, 81, 4538, 683, 291, 630, 32, 1945, 81, 9692, 500, 81, 7621, 280, 630, 32, 3613, 81, 1945, 81, 9692, 500, 81, 7621, 32, 1366, 346, 291, 630, 32, 3613, 81, 1945, 81, 1553, 81, 4538, 280, 7841, 463, 19441, 32, 3477, 32, 4573, 32, 1299, 12376, 32, 7547, 81, 4298, 32, 1553, 81, 4538, 683, 291, 630, 32, 1945, 81, 1553, 81, 4538, 280, 630, 32, 3613, 81, 1945, 81, 1553, 81, 4538, 32, 1366, 346, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 3613, 81, 1945, 81, 9692, 500, 81, 7621, 32, 4048, 346, 291, 630, 32, 1945, 81, 1553, 81, 4538, 32, 4048, 346, 284, 665, 1420, 81, 4538, 81, 2675, 26, 784, 30, 2297, 30, 9195, 30, 1603, 81, 1110, 711, 291, 415, 1603, 81, 1110, 710, 2689, 785, 610, 330, 4298, 31, 1297, 950, 324, 3276, 280, 5436, 26, 400, 5372, 47, 1815, 30, 400, 9195, 81, 3515, 47, 4538, 324, 829, 291, 4348, 1603, 81, 1110, 710, 3596, 304, 785, 610, 330, 4298, 31, 2560, 950, 324, 3276, 280, 5436, 26, 400, 5372, 47, 1815, 30, 400, 9195, 81, 3515, 47, 4538, 324, 829, 291, 4348, 1603, 81, 1110, 710, 1877, 785, 610, 330, 4298, 31, 15193, 950, 324, 3276, 280, 5436, 26, 400, 5372, 47, 1815, 30, 400, 9195, 81, 3515, 47, 4538, 324, 829, 291, 2297, 32, 4775, 81, 1260, 14605, 4295, 27, 284, 665, 2454, 81, 18972, 26, 784, 30, 6350, 47, 2521, 30, 1603, 47, 2521, 30, 11337, 1057, 4538, 7831, 291, 630, 32, 1945, 81, 9692, 500, 81, 7621, 32, 2671, 81, 7469, 280, 630, 32, 1945, 81, 4538, 81, 2675, 291, 415, 1603, 610, 330, 2689, 950, 324, 630, 32, 1945, 81, 1553, 81, 4538, 32, 601, 81, 853, 280, 3177, 291, 415, 1603, 610, 330, 3596, 304, 950, 324, 630, 32, 1945, 81, 1553, 81, 4538, 32, 601, 81, 853, 280, 2933, 291, 415, 1603, 610, 330, 1877, 950, 324, 630, 32, 1945, 81, 1553, 81, 4538, 32, 601, 81, 853, 280, 2933, 284, 665, 894, 81, 4298, 81, 1297, 26, 784, 711, 291, 739, 81, 1647, 81, 1132, 14178, 7547, 81, 573, 297, 36755, 950, 330, 1586, 34, 35, 370, 330, 7547, 81, 426, 950, 330, 3986, 370, 656, 330, 7547, 81, 3473, 950, 330, 1696, 370, 330, 7547, 81, 3560, 950, 330, 850, 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, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 10, 10, 10, 10, 8, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 8, 8, 7, 9, 9, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 10, 10, 10, 11, 12, 10, 10, 10, 12, 12, 11, 12, 10, 10, 5, 5, 6, 9, 9, 8, 10, 10, 10, 7, 7, 9, 9, 9, 9, 6, 6, 9, 9, 11, 11, 11, 12, 13, 11, 11, 11, 13, 13, 12, 13, 11, 11, 5, 5, 6, 9, 9, 8, 10, 10, 7, 7, 9, 9, 9, 9, 6, 6, 9, 9, 11, 11, 11, 12, 13, 11, 11, 11, 13, 13, 12, 13, 11, 11, 4, 4, 7, 8, 8, 8, 7, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 7, 7, 3, 3, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 4, 4, 5, 6, 6, 8, 8, 5, 5, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 8, 8, 4, 4, 5, 6, 6, 8, 8, 8, 5, 5, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 8, 8, 4, 4, 5, 6, 6, 8, 8, 5, 5, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 8, 11, 11, 11, 11, 9, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 8, 11, 11, 11, 11, 9, 11, 11 ]
[ 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, 3, 3, 1, 2, 1, 4, 1, 6, 6, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 1, 1, 2, 1, 1, 1, 1, 2, 6, 6, 0, 0, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 3, 3, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 4, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 3, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 1, 2, 5, 1, 2, 1, 1, 1, 1, 2, 7, 1, 1 ]
[ 465, 13092, 203, 1070, 31730, 414, 32, 1262, 32, 16064, 32, 3968, 81, 6967, 1188, 18394, 24711, 30, 10435, 24711, 30, 1682, 24711, 30, 892, 24711, 30, 2854, 24711, 30, 5069, 24711, 30, 24849, 24711, 30, 11024, 24711, 203, 1070, 31730, 414, 32, 1262, 32, 11452, 1188, 40075, 203, 50, 12408, 32, 12940, 203, 589, 48519, 35, 2262, 284, 2643, 280, 10435, 24711, 463, 858, 48519, 683, 284, 2643, 32, 669, 81, 3648, 463, 2403, 81, 678, 370, 10435, 24711, 1157, 284, 2643, 32, 669, 81, 5301, 463, 2215, 81, 678, 370, 1682, 24711, 26, 652, 24711, 463, 83, 802, 21180, 284, 2643, 32, 669, 81, 5301, 463, 2215, 36, 81, 678, 370, 5069, 24711, 26, 3801, 1057, 83, 1905, 2847, 284, 442, 2643, 203, 50, 12408, 32, 12940, 203, 589, 5436, 35, 2262, 284, 5436, 35, 280, 2149, 284, 5436, 35, 710, 2403, 81, 678, 785, 280, 2149, 284, 5436, 35, 710, 2215, 81, 678, 785, 280, 2107, 83, 370, 330, 84, 370, 330, 85, 785, 284, 5436, 35, 710, 2215, 36, 81, 678, 785, 280, 2933, 284, 442, 5436, 35, 203, 589, 894, 81, 2665, 81, 38170, 26, 38170, 35, 30, 5436, 35, 711, 284, 48519, 35, 32, 6967, 26, 2665, 35, 27, 203, 589, 894, 81, 2665, 81, 32987, 99, 26, 38170, 35, 711, 284, 5436, 35, 280, 2149, 284, 5436, 35, 710, 2215, 81, 678, 785, 280, 2107, 83, 370, 330, 84, 370, 330, 85, 785, 284, 5436, 35, 710, 2215, 36, 81, 678, 785, 280, 2933, 284, 442, 5436, 35, 284, 623, 13092, 32, 16708, 26, 24536, 711, 291, 48519, 35, 32, 6967, 26, 2665, 35, 27, 203, 589, 894, 81, 2665, 81, 96, 604, 385, 36, 26, 38170, 35, 711, 284, 5436, 35, 280, 2149, 284, 5436, 35, 710, 2403, 81, 678, 785, 280, 2149, 284, 5436, 35, 710, 2215, 81, 678, 785, 280, 2107, 83, 370, 330, 84, 370, 330, 85, 785, 284, 48519, 35, 32, 6967, 26, 2665, 35, 27, 203, 589, 894, 81, 2665, 81, 96, 604, 385, 26, 38170, 35, 711, 284, 5436, 35, 280, 2149, 284, 5436, 35, 710, 2403, 81, 678, 785, 280, 2149, 284, 5436, 35, 710, 2215, 36, 81, 678, 785, 280, 2933, 284, 48519, 35, 32, 6967, 26, 2665, 35, 27, 203, 589, 894, 81, 2665, 81, 19716, 2215, 26, 38170, 35, 711, 284, 5436, 35, 280, 2149, 284, 5436, 35, 710, 2403, 81, 678, 785, 280, 2149, 284, 5436, 35, 710, 2215, 36, 81, 678, 785, 280, 313, 7656, 20, 284, 623, 13092, 32, 16708, 26, 24536, 711, 291, 48519, 35, 32, 6967, 26, 2665, 35, 27, 203, 589, 894, 81, 2184, 81, 38170, 2262, 284, 786, 280, 330, 8183, 25, 284, 48519, 280, 11024, 24711, 26, 1428, 24711, 463, 410, 1425, 892, 24711, 463, 800, 2847, 284, 48519, 32, 6967, 26, 853, 27, 284, 48519, 280, 11024, 24711, 26, 8208, 24711, 463, 8183, 2847, 284, 48519, 32, 6967, 26, 853, 27, 284, 623, 13092, 32, 16708, 26, 24536, 711, 291, 48519, 32, 6967, 463, 360, 683, 284, 623, 13092, 32, 16708, 26, 24536, 711, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 2, 2, 5, 5, 7, 7, 9, 9, 9, 3, 3, 6, 7, 7, 7, 6, 8, 8, 8, 8, 6, 8, 8, 3, 3, 6, 7, 7, 7, 6, 8, 8, 8, 8, 6, 8, 8, 10, 10, 10, 12, 12, 12, 3, 3, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 6, 8, 8, 10, 9, 11, 11, 11, 3, 3, 4, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 2, 2, 6, 5, 5, 3, 3, 7, 6, 8, 8, 8, 8, 5, 5, 3, 3, 7, 6, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 5, 3, 3, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 6, 5, 6, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 6, 5, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 6, 5, 7, 7, 7, 7, 7, 4, 4, 2, 2, 3, 4, 2, 2, 3, 7, 8, 7, 8, 7, 3, 3, 8, 7, 8, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 6, 5, 7, 7, 7, 7, 4, 4, 2, 2, 6, 5, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 6, 5, 6, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 6, 5, 7, 7, 7, 7, 4, 4, 2, 2, 6, 5, 7, 7, 7, 7, 7, 4, 4, 2, 2, 6, 5, 6, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 6, 5, 7, 7, 7, 7, 4, 4, 2, 2, 6, 5, 7, 7, 7, 7, 7, 4, 4, 6, 6, 2, 2, 3, 7, 8, 7, 8, 7, 3, 3, 8, 7, 8, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 8, 8, 8, 10, 10, 6, 8, 8, 10, 10, 2, 2, 5, 6, 5, 6, 5, 2, 2, 4, 4, 6, 6, 8, 8, 8, 10, 10, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 7, 8, 7, 8, 7, 3, 3, 7, 8, 7, 9, 9, 2, 2, 3, 7, 8, 7, 8, 7, 3 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 1, 2, 3, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 1, 2, 4, 1, 1, 1, 2, 1, 1, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 5, 5, 0, 0, 2, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 4, 4, 3, 1, 4, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 7, 7, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 2, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 1, 2, 9, 9, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 4, 4, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 10, 10, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 0, 0, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 5, 0, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 2, 4, 4, 6, 0, 2, 1, 1, 1, 6 ]
[ 1070, 28520, 32, 3477, 32, 4219, 32, 42427, 32, 42427, 81, 87, 81, 16676, 751, 1188, 25547, 1335, 203, 1070, 9991, 32, 3477, 32, 2304, 1188, 35603, 4976, 2526, 30, 7703, 7233, 30, 739, 81, 1647, 81, 1132, 203, 505, 2559, 32095, 505, 280, 827, 203, 1070, 9991, 32, 8524, 1188, 4395, 203, 823, 25547, 1335, 4470, 26, 2459, 7233, 711, 284, 38505, 81, 17341, 280, 5053, 1237, 81, 699, 950, 330, 8495, 370, 5556, 330, 1237, 81, 2895, 950, 330, 2895, 370, 5556, 330, 1237, 81, 965, 950, 330, 525, 555, 5007, 370, 5556, 330, 30513, 950, 330, 35, 6040, 284, 10980, 81, 12499, 280, 330, 19441, 32, 3477, 32, 4219, 32, 42427, 32, 42427, 81, 87, 81, 16676, 751, 32, 1357, 25, 284, 7482, 81, 23607, 69, 81, 48521, 280, 225, 39, 34, 34, 34, 34, 284, 7482, 81, 23607, 69, 81, 4683, 28684, 280, 225, 35, 34, 34, 284, 665, 617, 470, 81, 1132, 26, 784, 30, 1115, 5321, 711, 291, 2297, 81, 1132, 280, 630, 32, 22453, 81, 17341, 32, 2991, 346, 291, 415, 10306, 438, 646, 1665, 44, 324, 2297, 81, 1132, 32, 1877, 26, 5321, 27, 291, 739, 81, 1647, 81, 1132, 26, 1647, 81, 1132, 27, 284, 665, 894, 81, 1449, 81, 11541, 81, 2669, 81, 4617, 26, 784, 711, 291, 2815, 280, 3447, 1449, 81, 11541, 563, 225, 35, 34, 34, 34, 30, 4511, 313, 751, 81, 2649, 563, 313, 1821, 4495, 392, 4511, 313, 2620, 81, 6038, 563, 313, 1498, 2538, 392, 4511, 313, 10402, 563, 225, 43, 34, 111, 291, 1769, 81, 11541, 81, 470, 280, 308, 784, 32, 3459, 81, 23607, 69, 81, 4683, 28684, 30, 225, 36, 39, 34, 34, 34, 30, 630, 32, 3459, 81, 23607, 69, 81, 48521, 27, 291, 436, 1769, 81, 11541, 328, 1769, 81, 11541, 81, 470, 44, 324, 2815, 1365, 1449, 81, 11541, 1446, 280, 1769, 81, 11541, 324, 630, 1114, 470, 81, 1132, 14605, 4332, 27, 324, 623, 4395, 32, 2675, 26, 784, 32, 4858, 81, 12499, 30, 442, 81, 853, 4310, 36, 34, 34, 30, 3447, 10333, 1465, 5392, 563, 3177, 111, 8531, 400, 17580, 81, 751, 280, 25547, 1335, 346, 400, 630, 32, 6549, 26, 16676, 81, 751, 32, 1449, 81, 11541, 610, 1769, 81, 11541, 27, 284, 665, 894, 81, 1449, 81, 11541, 81, 2669, 81, 5066, 26, 784, 711, 291, 2815, 280, 3447, 1449, 81, 11541, 563, 225, 35, 34, 34, 34, 30, 4511, 313, 751, 81, 2649, 563, 313, 1821, 4495, 392, 4511, 313, 2620, 81, 6038, 563, 313, 1498, 2538, 392, 4511, 313, 10402, 563, 225, 43, 34, 111, 291, 1769, 81, 11541, 81, 470, 280, 308, 784, 32, 3459, 81, 23607, 69, 81, 4683, 28684, 429, 225, 35, 30, 630, 32, 3459, 81, 23607, 69, 81, 48521, 474, 225, 35, 27, 291, 436, 1769, 81, 11541, 328, 1769, 81, 11541, 81, 470, 44, 324, 623, 630, 32, 23895, 29583, 26, 1045, 21581, 4976, 2526, 30, 540, 20, 12567, 31, 751, 1769, 81, 11541, 2385, 2298, 526, 3733, 225, 35, 34, 34, 461, 225, 39, 34, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 10, 10, 9, 10, 9, 10, 9, 4, 4, 7, 7, 7, 7, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 10, 10, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 8, 9, 9, 7, 4, 4, 7, 7, 7, 7, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 9, 11, 11, 11, 11, 8, 8, 9, 9, 6, 6, 9, 10, 10, 10, 9, 11, 9, 6, 6, 7, 11, 12, 11, 13, 12, 13, 13, 13, 11, 11, 13, 13, 12, 14, 14, 14, 13, 13, 17, 17, 17, 17, 15, 14, 13, 7, 7, 11, 11, 10, 10, 12, 12, 8, 8, 11, 12, 11, 14, 14, 14, 13, 14, 14, 14, 12, 12, 13, 13, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 10, 10, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 8, 9, 9, 7, 4, 4, 7, 7, 7, 7, 6, 6, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 7, 7, 9, 10, 10, 10, 10, 10, 10, 8, 8, 9, 7, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 7, 11, 12, 12, 11, 12, 12, 12, 12, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 2, 2, 2, 1, 2, 7, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 5, 5, 0, 2, 2, 2, 1, 1, 1, 5, 5, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 0, 0, 0, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 2, 2, 2, 1, 2, 7, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 2, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 0, 0, 2, 2, 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 ]
[ 823, 4703, 620, 26, 1473, 711, 334, 25260, 280, 330, 9691, 25, 334, 44623, 280, 330, 23029, 25, 334, 17448, 280, 330, 8534, 25, 334, 9964, 7877, 280, 330, 3754, 7877, 25, 334, 16739, 4241, 280, 330, 14247, 25, 334, 37972, 280, 330, 14174, 25, 334, 477, 16099, 334, 665, 1390, 2424, 2262, 284, 442, 428, 1394, 620, 32, 9691, 30, 4703, 620, 32, 23029, 30, 4703, 620, 32, 8534, 30, 324, 4703, 620, 32, 3754, 7877, 30, 4703, 620, 32, 14247, 30, 4703, 620, 32, 14174, 79, 203, 823, 3772, 41201, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 636, 30, 894, 81, 681, 30, 7459, 47, 34, 30, 1245, 1057, 7831, 284, 1201, 636, 284, 1201, 894, 81, 681, 328, 4703, 620, 32, 936, 2424, 346, 284, 630, 1114, 426, 280, 636, 284, 630, 1114, 858, 81, 681, 280, 894, 81, 681, 284, 630, 1114, 6932, 280, 7459, 284, 630, 1114, 751, 280, 1245, 334, 665, 1156, 466, 3207, 784, 711, 284, 442, 630, 1114, 426, 334, 665, 1156, 13707, 3207, 784, 711, 284, 442, 630, 1114, 426, 334, 665, 1156, 4923, 3207, 784, 30, 1604, 711, 284, 442, 13593, 26, 784, 1114, 426, 30, 1604, 1114, 426, 27, 334, 665, 1156, 2888, 3207, 784, 711, 284, 442, 3677, 26, 784, 1114, 426, 27, 334, 665, 1756, 558, 26, 784, 30, 636, 711, 284, 630, 1114, 426, 280, 636, 334, 665, 47887, 26, 784, 711, 284, 442, 630, 1114, 426, 334, 665, 1390, 620, 26, 784, 711, 284, 442, 630, 1114, 858, 81, 681, 334, 665, 1390, 6196, 26, 784, 711, 284, 442, 630, 1114, 6932, 334, 665, 1390, 1335, 26, 784, 711, 284, 442, 630, 1114, 751, 203, 823, 2108, 2529, 5472, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 711, 284, 630, 1114, 4295, 280, 739, 346, 334, 665, 1390, 13366, 26, 784, 711, 284, 309, 280, 1605, 284, 436, 894, 81, 681, 328, 4703, 620, 32, 936, 2424, 2262, 397, 415, 894, 81, 681, 863, 4703, 620, 32, 9691, 44, 291, 436, 273, 328, 8594, 26, 784, 1114, 14774, 26, 858, 81, 681, 8531, 616, 1245, 280, 273, 32, 936, 1335, 346, 616, 415, 1245, 44, 324, 309, 32, 1689, 14969, 23, 101, 79, 904, 101, 6078, 904, 308, 858, 81, 681, 30, 273, 490, 324, 309, 32, 1689, 26, 751, 27, 284, 442, 3228, 96, 2473, 2524, 26, 101, 27, 334, 665, 1390, 57, 858, 1241, 26, 784, 711, 284, 309, 280, 1605, 284, 29000, 280, 9254, 310, 30, 309, 30, 298, 44, 6611, 86, 904, 101, 25, 904, 308, 96, 30, 298, 415, 310, 863, 225, 35, 813, 309, 27, 284, 3312, 280, 9254, 310, 44, 29000, 26, 96, 30, 330, 858, 370, 330, 4882, 683, 284, 309, 32, 1689, 14969, 18434, 79, 904, 101, 15949, 4564, 904, 308, 4882, 26, 1657, 26, 784, 32, 24630, 5156, 490, 284, 309, 32, 1689, 14969, 225, 37214, 9724, 225, 1481, 904, 101, 4564, 904, 308, 4882, 26, 1657, 26, 784, 32, 936, 6129, 5156, 490, 284, 20434, 280, 630, 32, 936, 11393, 346, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 4, 4, 6, 9, 9, 8, 9, 7, 7, 9, 8, 9, 7, 7, 9, 8, 9, 7, 7, 7, 9, 8, 9, 9, 7, 7, 9, 8, 9, 7, 7, 9, 8, 9, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 6, 4, 4, 5, 7, 3, 3, 5, 4, 4, 5, 7, 7, 6, 6, 9, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 9, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 5, 5, 8, 7, 8, 8, 7, 5, 5, 7, 9, 9, 8, 8, 10, 9, 10, 7, 7, 7, 9, 9, 9, 11, 14, 13, 14, 13, 14, 14, 14, 13, 9, 9, 12, 12, 14, 15, 15, 14, 10, 10, 11, 11, 11, 11, 15, 16, 15, 18, 18, 18, 18, 18, 18, 16, 16, 18, 18, 18, 17, 17, 17, 12, 12, 15, 16, 15, 16, 15, 4, 4, 5, 10, 9, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 6, 6, 7, 8, 8, 8, 8, 7, 7, 10, 10, 10, 10, 8, 8, 10, 9, 9, 10, 10, 11, 11, 12, 10, 10, 9, 4, 4, 6, 6, 7, 7, 7, 9, 10, 9, 9, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 8, 8, 11, 11, 13, 13, 16, 15, 16, 15, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 11, 11, 13, 13, 16, 15, 16, 16, 15, 9, 4, 4, 6, 6, 8, 9, 9, 8, 4 ]
[ 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 1, 6, 6, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 3, 2, 1, 1, 0, 5, 2, 1, 1, 1, 0, 7, 2, 2, 1, 1, 0, 9, 2, 1, 1, 0, 11, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 2, 2, 2, 9, 1, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 0, 1, 2, 1, 4, 4, 5, 1, 2, 1, 2, 2, 2, 5, 5, 0, 2, 0, 0, 4, 4, 6, 2, 1, 2, 6, 6, 0, 1, 2, 4, 4, 7, 1, 2, 1, 2, 7, 7, 0, 1, 2, 2, 2, 4, 4, 8, 1, 2, 1, 2, 8, 8, 0, 1, 2, 4, 4, 9, 1, 2, 1, 2, 9, 9, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 5, 5, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 2, 0, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 3, 1, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 4 ]
[ 465, 343, 2632, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 858, 32, 1580, 1188, 4448, 2214, 203, 1070, 4395, 1188, 7841, 203, 1070, 456, 5690, 81, 6385, 32, 3378, 1188, 498, 5690, 9117, 203, 1070, 456, 5690, 81, 6385, 32, 9569, 81, 9885, 1188, 19789, 7063, 203, 589, 622, 81, 2159, 91, 81, 14162, 2262, 284, 442, 498, 5690, 9117, 26, 291, 12473, 81, 426, 1057, 9117, 3270, 370, 291, 12473, 81, 678, 1057, 9117, 3891, 370, 291, 12473, 81, 7241, 1057, 9117, 20755, 25, 284, 829, 203, 50, 583, 102, 32, 583, 102, 203, 823, 5675, 953, 7063, 1006, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1486, 953, 7063, 1006, 30, 630, 547, 23741, 346, 291, 630, 32, 2159, 91, 81, 14162, 280, 622, 81, 2159, 91, 81, 14162, 346, 284, 665, 894, 81, 1327, 81, 1580, 81, 678, 26, 784, 711, 291, 1202, 280, 630, 32, 2159, 91, 81, 14162, 32, 14162, 81, 678, 291, 630, 32, 6549, 26, 7785, 7063, 26, 784, 32, 2159, 91, 81, 14162, 547, 1553, 81, 1580, 81, 678, 26, 678, 490, 284, 477, 583, 102, 32, 605, 26, 291, 2726, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 370, 471, 291, 2726, 370, 471, 291, 308, 2521, 28020, 284, 829, 284, 477, 583, 102, 32, 15404, 284, 665, 894, 81, 5790, 81, 1580, 81, 678, 26, 784, 30, 1202, 711, 291, 630, 32, 14846, 26, 7785, 7063, 26, 784, 32, 2159, 91, 81, 14162, 547, 1553, 81, 1580, 81, 678, 26, 678, 490, 203, 50, 583, 102, 32, 583, 102, 203, 823, 489, 8232, 7063, 1006, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 29811, 7063, 1006, 30, 630, 547, 23741, 346, 291, 630, 32, 2159, 91, 81, 14162, 280, 622, 81, 2159, 91, 81, 14162, 346, 284, 665, 894, 81, 1327, 81, 17659, 26, 784, 711, 291, 21872, 280, 330, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 25, 291, 630, 32, 6549, 26, 7785, 7063, 26, 784, 32, 2159, 91, 81, 14162, 547, 1553, 81, 17659, 26, 17659, 490, 284, 477, 583, 102, 32, 605, 26, 291, 2726, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 5, 5, 5, 5, 5, 7, 7, 6, 8, 8, 8, 5, 5, 7, 7, 6, 8, 8, 8, 5, 5, 7, 7, 6, 8, 8, 8, 5, 5, 0, 2, 4, 4, 3, 4, 4, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 4, 5, 6, 5, 4, 4, 10, 11, 11, 11, 11, 10, 10, 10, 9, 8, 5, 5, 8, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 9, 10, 10, 10, 10, 8, 9, 9, 9, 5, 5, 8, 9, 8, 12, 12, 12, 14, 13, 14, 14, 14, 14, 12, 11, 11, 11, 11, 11, 10, 11, 10, 3, 3, 8, 8, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 7, 7, 10, 8, 7, 7, 9, 8, 7, 7, 4, 4, 7, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 9, 10, 9, 13, 13, 13, 15, 14, 15, 15, 15, 15, 13, 12, 12, 12, 12, 12, 11, 12, 11, 0, 2, 4, 4, 3, 4, 4, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 4, 5, 6, 5, 4, 4, 10, 11, 11, 11, 10, 10, 10, 9, 8, 5, 5, 8, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 5, 5, 8, 9, 8, 12, 12, 12, 14, 13, 14, 14, 14, 14, 12, 11, 11, 11, 10, 11, 10, 3, 3, 8, 8, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 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 ]
[ 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 1, 2, 2, 2, 5, 5, 0, 0, 6, 6, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 3, 1, 1, 2, 1, 1, 0, 0, 5, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 7, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1, 5, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 8, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 505, 2116, 505, 280, 313, 4494, 352, 624, 32, 10451, 265, 265, 20, 203, 465, 12460, 203, 465, 2322, 32, 983, 203, 465, 16539, 203, 465, 5237, 203, 465, 6440, 203, 81, 30035, 81, 19111, 280, 739, 346, 203, 81, 2067, 81, 2536, 280, 2149, 203, 81, 19111, 81, 452, 81, 2536, 280, 2149, 203, 81, 601, 81, 853, 280, 225, 34, 203, 81, 5002, 81, 4820, 280, 739, 346, 203, 81, 12063, 81, 29211, 1734, 280, 739, 346, 203, 589, 617, 2230, 3273, 974, 26, 2388, 81, 983, 30, 4253, 81, 426, 30, 2830, 81, 426, 711, 334, 3649, 617, 30035, 81, 19111, 30, 617, 2067, 81, 2536, 30, 617, 19111, 81, 452, 81, 2536, 334, 3649, 617, 5002, 81, 4820, 30, 617, 12063, 81, 29211, 1734, 334, 5034, 81, 2067, 81, 426, 280, 4253, 81, 426, 474, 13189, 474, 2830, 81, 426, 334, 415, 5034, 81, 2067, 81, 426, 328, 617, 2067, 81, 2536, 44, 284, 1459, 313, 5711, 44, 12843, 638, 97, 803, 313, 474, 5034, 81, 2067, 81, 426, 284, 617, 601, 81, 853, 280, 225, 36, 284, 442, 334, 1519, 280, 2322, 32, 983, 32, 2524, 26, 2388, 81, 983, 30, 4253, 81, 426, 30, 2830, 81, 426, 27, 334, 29851, 81, 1267, 280, 16539, 32, 45606, 14141, 14276, 392, 7915, 13205, 3695, 392, 7915, 1643, 47, 3731, 104, 392, 1378, 7915, 4318, 31, 2585, 392, 7915, 1347, 31, 3323, 392, 1519, 614, 7686, 12532, 47, 27958, 32, 18165, 547, 508, 48275, 8532, 34, 79, 334, 2830, 81, 22450, 280, 739, 346, 334, 2830, 81, 3783, 280, 739, 346, 334, 436, 1628, 328, 29851, 81, 1267, 32, 2998, 4446, 2262, 284, 3829, 280, 1628, 32, 2998, 35619, 657, 284, 415, 2069, 26, 4151, 27, 610, 225, 35, 44, 4036, 284, 636, 280, 3829, 77, 34, 997, 7201, 346, 284, 415, 636, 32, 15990, 27176, 85, 2925, 657, 556, 9602, 21937, 14569, 20, 328, 636, 556, 9602, 89, 2369, 20, 328, 636, 44, 397, 617, 30035, 81, 19111, 32, 669, 26, 426, 27, 397, 4036, 284, 827, 280, 3829, 77, 36, 997, 7201, 346, 284, 415, 827, 610, 313, 71, 563, 397, 2830, 81, 22450, 32, 669, 26, 426, 27, 284, 813, 44, 397, 2830, 81, 3783, 32, 669, 26, 426, 27, 397, 617, 19111, 81, 452, 81, 2536, 77, 426, 79, 280, 5034, 81, 2067, 81, 426, 397, 415, 636, 32, 15990, 440, 104, 1274, 436, 12898, 103, 10280, 291, 617, 5002, 81, 4820, 32, 669, 26, 426, 77, 426, 32, 1055, 440, 403, 657, 474, 225, 36, 19572, 397, 1650, 280, 636, 32, 1809, 440, 13847, 657, 397, 415, 1650, 2377, 225, 34, 461, 827, 610, 313, 73, 563, 291, 617, 12063, 81, 29211, 1734, 32, 669, 26, 426, 77, 1055, 474, 225, 37, 44, 426, 32, 1055, 440, 10788, 1650, 14829, 334, 617, 2067, 81, 2536, 77, 1356, 81, 2067, 81, 426, 79, 280, 3447, 22450, 563, 2830, 81, 22450, 30, 313, 3783, 563, 2830, 81, 3783, 111, 203, 589, 617, 2230, 5876, 26, 2388, 81, 983, 30, 4253, 81, 426, 711, 334, 2830, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 2, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 6, 6, 5, 5, 6, 6, 2, 2, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 7, 7, 6, 6, 7, 4, 4, 2, 2, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 9, 10, 9, 12, 12, 10, 12, 12, 12, 10, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 12, 12, 12, 12, 10, 10, 9, 9, 10, 12, 11, 12, 9, 8, 8, 7, 6, 5, 2, 2, 5, 5, 4, 4, 6, 2, 2, 5, 5, 4, 4, 6, 2, 2, 3, 3, 3, 6, 6, 5, 6, 6, 5, 3, 3, 6, 6, 8, 9, 8, 10, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 4, 4, 6, 6, 9, 10, 9, 9, 8, 4, 4, 5, 9, 10, 9, 11, 11, 11, 7, 7, 10, 10, 10, 8, 8, 6, 6, 9, 9, 9, 7, 7, 5, 5, 5, 10, 10, 10, 9, 10, 9, 10, 9, 6, 6, 4, 4, 6, 6, 9, 10, 9, 9, 8, 4, 4, 5, 6, 6, 8, 8, 5, 5, 10, 10, 9, 10, 9, 10, 9, 5, 5, 6, 6, 6, 11, 11, 10, 11, 10, 11, 10, 7, 7, 11, 11, 11, 11, 11, 10, 11, 10, 9, 9, 10, 10, 10, 10, 7, 7, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 8, 8, 13, 13, 13, 12, 13, 12, 14, 13, 18, 17, 18, 17, 19, 19, 15, 15, 16, 14, 7, 7, 9, 9, 11, 12, 11, 13, 13, 7, 7, 8, 10, 10, 11, 9, 9, 10, 10, 12, 12, 8, 8, 13, 13, 13, 13, 12, 13, 12, 14, 13, 16, 15, 15, 16, 14, 17, 16, 17, 16, 18, 16, 16, 2, 2, 6, 6, 6, 5, 6, 6, 6, 6, 6, 5, 4, 4, 8, 8, 6, 7, 7, 5, 5, 8, 8, 6, 7, 7, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 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, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 12, 12, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 12, 12, 0, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 5, 5, 5, 5, 5, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 3, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 3, 3, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 2, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 8, 8, 8, 0, 0, 0, 2, 2, 1, 8, 8, 0, 0, 0, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 0, 0, 0, 2, 0, 2, 1, 5, 5, 3, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 5, 5, 0, 0, 0, 2, 0, 2, 1, 5, 5, 5, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 5, 5, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 4, 0, 0, 2, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 0, 13, 13, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 13, 13, 0 ]
[ 589, 622, 81, 1436, 26, 2132, 30, 4212, 711, 284, 1474, 280, 330, 17278, 8843, 4212, 34196, 284, 415, 4212, 610, 330, 890, 31, 4519, 950, 291, 1474, 280, 330, 33623, 3136, 13528, 5316, 25, 284, 4348, 4212, 610, 330, 6993, 31, 4519, 950, 291, 415, 330, 8478, 25, 328, 2803, 461, 2069, 26, 2132, 710, 8478, 3490, 610, 225, 35, 44, 324, 2769, 280, 2803, 710, 8478, 8150, 34, 79, 324, 415, 13637, 328, 2769, 44, 400, 2769, 280, 2769, 32, 2998, 24667, 6448, 35, 79, 324, 1474, 280, 330, 982, 10929, 44, 330, 474, 2769, 291, 813, 44, 324, 1474, 280, 330, 982, 10929, 25066, 13528, 25, 284, 4348, 4212, 610, 330, 6993, 31, 2250, 950, 291, 1474, 280, 330, 982, 10929, 5412, 25, 284, 4348, 4212, 610, 330, 3176, 31, 2250, 950, 291, 1474, 280, 330, 33623, 10609, 5412, 7496, 25, 284, 4348, 4212, 610, 330, 1945, 31, 4882, 950, 291, 415, 330, 4347, 25, 328, 2803, 461, 2069, 26, 2132, 710, 4347, 3490, 610, 225, 35, 44, 324, 1474, 280, 313, 9514, 3179, 327, 2108, 436, 313, 474, 2803, 710, 4347, 8150, 34, 79, 291, 813, 44, 324, 1474, 280, 330, 33623, 3179, 327, 2108, 37183, 25, 284, 4348, 4212, 610, 330, 6008, 31, 2250, 950, 291, 1474, 280, 330, 10780, 299, 5412, 25, 284, 4348, 4212, 610, 330, 6285, 950, 291, 1474, 280, 330, 33623, 13962, 7496, 25, 284, 4348, 4212, 610, 330, 4526, 31, 368, 327, 950, 291, 1474, 280, 330, 33623, 13005, 3179, 327, 7496, 25, 284, 4348, 4212, 610, 330, 13874, 31, 2250, 950, 291, 1474, 280, 330, 10195, 488, 453, 1229, 63, 332, 2074, 5652, 372, 526, 33082, 32, 3927, 299, 322, 10750, 5316, 4564, 284, 4348, 4212, 610, 330, 1055, 31, 4519, 950, 291, 1474, 280, 330, 47367, 13528, 25, 284, 4348, 4212, 610, 330, 2560, 31, 4519, 950, 291, 415, 330, 8478, 25, 328, 2803, 461, 2069, 26, 2132, 710, 8478, 3490, 610, 225, 35, 44, 324, 2769, 280, 2803, 710, 8478, 8150, 34, 79, 324, 415, 13637, 328, 2769, 44, 400, 2769, 280, 2769, 32, 2998, 24667, 6448, 35, 79, 324, 1474, 280, 330, 36595, 44, 330, 474, 2769, 291, 813, 44, 324, 1474, 280, 330, 36595, 25066, 13528, 25, 284, 4348, 4212, 610, 330, 8188, 31, 4519, 950, 291, 415, 330, 8478, 25, 328, 2803, 461, 2069, 26, 2132, 710, 8478, 3490, 610, 225, 35, 44, 324, 2769, 280, 2803, 710, 8478, 8150, 34, 79, 324, 415, 13637, 328, 2769, 44, 400, 2769, 280, 2769, 32, 2998, 24667, 6448, 35, 79, 324, 1474, 280, 330, 9096, 299, 44, 330, 474, 2769, 291, 813, 44, 324, 1474, 280, 330, 9096, 299, 25066, 13528, 25, 284, 4348, 4212, 610, 330, 1676, 31, 4519, 950, 291, 1474, 280, 330, 33623, 25066, 13528, 25, 284, 4348, 4212, 610, 330, 1366, 31, 7490, 950, 291, 1474, 280, 330, 13067, 5741, 436, 1256, 9668, 3191, 328, 1359, 4724, 2811, 25, 284, 4348, 4212, 610, 330, 4048, 31, 7490, 950, 291, 1474, 280, 330, 27326, 5741, 436, 1256, 9668, 3191, 328, 1359, 4724, 2811, 25, 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, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 6, 6, 6, 6, 3, 3, 6, 6, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 6, 10, 10, 8, 8, 7, 7, 10, 12, 11, 13, 13, 8, 8, 9, 6, 6, 6, 9, 9, 11, 13, 13, 11, 10, 7, 7, 8, 9, 9, 8, 8, 8, 11, 11, 14, 15, 14, 12, 14, 12, 7, 7, 9, 9, 12, 12, 12, 12, 10, 10, 6, 6, 7, 7, 7, 10, 10, 12, 12, 12, 12, 12, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 9, 9, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 6, 10, 10, 8, 8, 7, 7, 10, 12, 11, 13, 13, 8, 8, 9, 6, 6, 6, 9, 9, 12, 12, 12, 12, 12, 12, 10, 10, 12, 14, 14, 12, 11, 6, 6, 7, 7, 7, 10, 10, 12, 12, 12, 12, 12, 12, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 9, 9, 3, 3, 4, 5, 5, 7, 7, 4, 4, 7, 7, 9, 9, 9, 9, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 9, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 6, 10, 10, 8, 8, 7, 7, 10, 12, 11, 13, 13, 8, 8, 9, 6, 6, 6, 9, 9, 11, 13, 13, 11, 10, 7, 7, 8, 9, 9, 8, 8, 8, 11, 11, 14, 15, 14, 12, 14, 12, 7, 7, 9, 9, 12, 12, 12, 10, 10, 6, 6, 7, 7, 7, 10, 10, 12, 12, 12, 12, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 6, 10, 10, 8, 8, 7, 7, 10, 12, 11, 13, 13, 8, 8, 9, 6, 6, 6, 9, 9, 11, 13, 13, 11, 10, 7, 7, 8, 9, 9, 8, 8, 8, 11, 11, 14, 15, 14, 12, 14, 12, 7, 7, 9, 9, 12, 12, 12, 12, 10, 10, 6, 6, 7, 7, 7, 10, 10, 12, 12, 12, 12, 12, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 9, 9, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3 ]
[ 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 4, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 2, 1, 1, 6, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 2, 7, 7, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 8, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 2, 9, 9, 0, 0, 1, 1, 1, 2, 1, 1, 10, 1, 1, 1, 1, 1, 1, 2, 10, 10, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 2, 11, 11, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 12, 1, 1, 1, 1, 1, 2, 12, 12, 0, 0, 1, 1, 2, 1, 1, 13, 1, 1, 1, 1, 1, 2, 13, 13, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 2, 2, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 2, 1, 1, 14, 1, 1, 1, 1, 1, 2, 14, 14, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 15, 1, 1, 1, 1, 1, 2, 15, 15, 0, 0, 1, 1, 1, 2, 1, 1, 16, 1, 1, 1, 1, 1, 2, 16, 16, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 17, 1, 1, 1, 1, 1, 2, 17, 17, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1 ]
[ 465, 316, 203, 1070, 5296, 1188, 13663, 102, 385, 7550, 203, 1070, 5296, 1188, 4082, 203, 1070, 5296, 1188, 2197, 26896, 4280, 203, 589, 894, 81, 5000, 81, 4658, 26, 1637, 81, 965, 711, 284, 4082, 32, 1338, 21870, 1637, 81, 965, 31197, 101, 27059, 904, 1938, 81, 965, 27, 284, 706, 280, 13663, 102, 385, 7550, 32, 4984, 1637, 26, 1637, 81, 965, 547, 605, 17946, 415, 313, 974, 1597, 8128, 20, 328, 706, 556, 313, 1969, 16806, 4261, 5422, 20, 328, 706, 44, 291, 442, 3177, 30, 7185, 1382, 5000, 32, 289, 79, 10379, 27484, 14031, 309, 7005, 41103, 2598, 337, 1289, 32233, 20, 284, 442, 2933, 30, 3330, 203, 589, 622, 81, 5000, 81, 965, 26, 1637, 81, 965, 30, 28652, 3876, 47, 2700, 30, 1256, 20706, 3882, 20706, 6027, 81, 2895, 347, 10280, 284, 4082, 32, 1338, 440, 965, 347, 474, 1938, 81, 965, 27, 284, 415, 646, 313, 6912, 20, 328, 1938, 81, 965, 44, 291, 1938, 81, 965, 280, 1938, 81, 965, 32, 3227, 440, 525, 555, 1382, 5000, 32, 289, 10590, 313, 525, 555, 1382, 5000, 32, 289, 33, 6912, 31, 657, 474, 4939, 916, 20, 284, 706, 280, 13663, 102, 385, 7550, 32, 4984, 1637, 26, 1637, 81, 965, 547, 605, 284, 7680, 344, 81, 953, 280, 2197, 26896, 4280, 32, 1809, 81, 6270, 81, 2872, 26, 605, 30, 313, 317, 344, 81, 953, 1057, 24183, 785, 29, 9905, 657, 284, 706, 81, 10093, 280, 13663, 102, 385, 7550, 32, 4984, 1637, 440, 525, 555, 1382, 5000, 32, 289, 33, 92, 23996, 9708, 101, 20, 904, 7680, 344, 81, 953, 547, 605, 284, 31749, 280, 2197, 26896, 4280, 32, 1809, 81, 6270, 81, 2872, 26, 605, 81, 10093, 30, 330, 1126, 78, 110, 2009, 14747, 110, 6155, 5421, 110, 683, 284, 415, 313, 24034, 20, 328, 31749, 44, 291, 31749, 280, 2197, 26896, 4280, 32, 1809, 81, 6270, 81, 2872, 26, 605, 81, 10093, 30, 330, 24469, 1063, 78, 110, 2009, 14747, 110, 6155, 5421, 110, 683, 284, 7444, 81, 11400, 280, 2197, 26896, 4280, 32, 1809, 81, 12565, 81, 8933, 26, 605, 30, 3228, 2367, 761, 7646, 101, 18899, 3491, 101, 22189, 24183, 1446, 29, 4731, 78, 101, 7027, 78, 101, 22189, 1172, 7646, 101, 18899, 3491, 101, 22189, 24183, 1446, 29, 4731, 683, 284, 6027, 81, 11400, 280, 1605, 284, 436, 7444, 81, 965, 30, 2266, 328, 7444, 81, 11400, 44, 291, 7444, 81, 965, 1454, 25687, 7224, 47, 1870, 24, 3531, 47, 35, 24, 10093, 6132, 101, 20, 904, 31749, 291, 6027, 81, 11400, 32, 1689, 2009, 545, 26896, 4280, 32, 371, 81, 3607, 81, 1070, 81, 965, 26, 3435, 81, 965, 5594, 31, 38, 10056, 5667, 2884, 29, 1172, 36998, 428, 1382, 5000, 32, 289, 9166, 7444, 81, 965, 1130, 284, 442, 6027, 81, 11400, 203, 589, 2290, 81, 11966, 26, 605, 711, 284, 588, 225, 31098, 5184, 280, 739, 346, 284, 5684, 8335, 587, 280, 1605, 284, 8402, 2558, 11966, 280, 330, 1382, 5000, 32, 289, 13824, 2805, 6912, 31, 9330, 2009, 51, 31, 108, 34, 31, 43, 6155 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 6, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 5, 2, 2, 4, 4, 8, 8, 8, 7, 8, 8, 7, 8, 8, 8, 7, 6, 2, 2, 3, 7, 7, 7, 7, 5, 5, 4, 4, 7, 7, 7, 7, 7, 5, 5, 3, 3, 3, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 4, 3, 4, 2, 2, 3, 2, 3, 2, 4, 4, 3, 5, 1, 1, 5, 6, 5, 8, 8, 6, 6, 7, 7, 5, 2, 2, 3, 4, 7, 7, 5, 5, 6, 6, 3, 3, 3, 7, 7, 6, 6, 10, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 2, 2, 4, 4, 8, 8, 8, 7, 8, 8, 7, 8, 8, 8, 7, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 8, 8, 8, 7, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 7, 6, 2, 2, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 6, 6, 4, 4, 3, 3, 3, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 2, 2, 3, 5, 5, 4, 4, 3, 3, 4, 4, 3, 3, 3, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 8, 8, 7, 8, 7, 15, 15, 15, 14, 15, 15, 15, 15, 15, 15, 15, 14, 15, 15, 15, 14, 14, 15, 13, 11, 13, 10, 11, 9, 11, 11, 11, 11, 11, 11, 8, 9, 9, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 5, 2, 7, 2, 0, 0, 9, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 2, 1, 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, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 2, 1, 1, 6, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 9, 0, 0, 1, 1, 9, 9, 3, 3, 9, 9, 9, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 10, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 4, 4, 4, 4, 4, 4, 6, 6, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2361, 203, 1070, 35094, 1188, 7360, 203, 1070, 11171, 1188, 11171, 38, 203, 465, 343, 2632, 203, 1070, 25312, 834, 32, 10615, 1188, 33500, 30, 18850, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 16967, 203, 1070, 4395, 1188, 25864, 3660, 30, 7502, 30, 7841, 203, 1070, 32400, 81, 3494, 32, 16520, 32, 3494, 1188, 595, 38, 106, 8770, 203, 1070, 18792, 32, 21332, 1188, 2155, 203, 1070, 8419, 81, 24366, 32, 3378, 1188, 22509, 2101, 203, 1070, 456, 874, 32, 11025, 7491, 32, 7632, 1396, 32, 3378, 1188, 16643, 2459, 203, 1070, 456, 874, 32, 11025, 7491, 32, 7632, 1396, 32, 4882, 32, 42053, 1188, 16643, 2459, 2214, 203, 1070, 456, 874, 32, 11025, 7491, 32, 266, 2647, 81, 2795, 32, 11452, 1188, 4000, 14764, 2459, 1078, 924, 203, 1070, 456, 874, 32, 11025, 7491, 32, 266, 2647, 81, 2795, 32, 3378, 1188, 701, 2647, 2247, 203, 1070, 456, 874, 32, 11025, 7491, 32, 266, 2647, 81, 2795, 32, 8246, 1188, 308, 284, 3066, 81, 14211, 81, 1293, 30, 284, 4166, 81, 7281, 36, 81, 605, 30, 284, 4450, 81, 20680, 30, 284, 2684, 81, 14211, 81, 5020, 30, 284, 736, 1262, 81, 14211, 30, 284, 5657, 81, 14211, 81, 36456, 203, 27, 203, 1070, 456, 874, 32, 11025, 7491, 32, 266, 2647, 81, 2795, 32, 8246, 81, 4313, 32, 14481, 1188, 7623, 81, 7281, 36, 81, 605, 203, 1070, 456, 874, 32, 11025, 7491, 32, 266, 2647, 81, 2795, 32, 4882, 32, 42053, 1188, 701, 2647, 2247, 2214, 203, 1070, 456, 874, 32, 11025, 7491, 32, 266, 2647, 81, 2795, 32, 4882, 32, 858, 81, 1439, 1188, 701, 2647, 2247, 2459, 7233, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11452, 1188, 6324, 27981, 203, 2383, 14507, 63, 81, 2413, 81, 2474, 280, 313, 858, 81, 965, 426, 20, 203, 823, 2108, 2247, 7961, 26, 984, 711, 284, 3097, 203, 823, 2108, 383, 2647, 6701, 26, 383, 2647, 2247, 2459, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1006, 383, 2647, 6701, 30, 630, 547, 23741, 346, 291, 630, 32, 8788, 81, 7632, 346, 291, 630, 32, 266, 2647, 280, 630, 32, 1297, 81, 266, 2647, 463, 266, 2647, 683, 291, 630, 32, 2645, 280, 630, 32, 14211, 81, 2645, 26, 2383, 14507, 63, 81, 2413, 81, 2474, 27, 284, 665, 617, 1297, 81, 1131, 81, 3038, 26, 324, 630, 30, 9525, 81, 4840, 47, 2521, 30, 793, 81, 14211, 81, 965, 47, 1815, 30, 8419, 81, 314, 47, 2521, 30, 1755, 81, 325, 81, 4363, 265, 47, 2700, 30, 6793, 47, 2521, 284, 8063, 291, 2899, 81, 314, 280, 596, 26, 6572, 38, 1157, 291, 2899, 81, 1131, 280, 5053, 2585, 81, 325, 81, 4363, 265, 950, 1755, 81, 325, 81, 4363, 265, 111, 291, 415, 793, 81, 14211, 81, 965, 44, 324, 2899, 81, 1131, 710, 14211, 81, 965, 785, 280, 630, 32, 2645, 291, 415, 9525, 81, 4840, 438, 646, 1665, 44, 324, 2899, 81, 1131, 710, 8397, 785, 280, 9525, 81, 4840, 291, 415, 6793, 438, 646, 1665, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 9, 9, 8, 10, 10, 10, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 3, 3, 7, 7, 6, 6, 8, 10, 10, 10, 4, 4, 7, 7, 6, 6, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 9, 7, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 10, 10, 9, 11, 11, 11, 11, 8, 8, 9, 10, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 10, 10, 9, 11, 11, 8, 8, 9, 9, 4, 4, 5, 6, 6, 6, 5 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 0, 10, 10, 0, 1, 2, 2, 1, 4, 4, 1, 6, 10, 10, 0, 0, 11, 11, 0, 1, 2, 2, 1, 4, 4, 1, 6, 1, 8, 11, 11, 0, 0, 0, 12, 12, 0, 1, 2, 2, 1, 4, 4, 4, 4, 1, 6, 12, 12, 0, 0, 0, 0, 0, 13, 13, 0, 1, 2, 2, 1, 4, 4, 4, 4, 1, 6, 13, 13, 0, 0, 0, 14, 14, 0, 1, 2, 2, 1, 4, 4, 4, 4, 1, 6, 14, 14, 14, 14, 0, 0, 0, 0, 14, 14, 14, 0, 0, 0, 0, 0, 14, 14, 14, 0, 0, 14, 14, 14, 0, 0, 0, 0, 14, 14, 14, 0, 0, 0, 14, 14, 14, 0, 0, 0, 0, 14, 14, 0, 15, 15, 0, 1, 2, 2, 1, 4, 4, 4, 4, 1, 6, 6, 6, 1, 8, 15, 15, 0, 0, 0, 0, 0, 0, 16, 16, 0, 1, 2, 2, 1, 4, 4, 4, 4, 1, 6, 1, 8, 16, 16, 0, 0, 0, 0, 17, 17, 0, 1, 2, 2, 1, 4, 4, 4, 4, 1, 6, 1, 8, 8, 8, 17, 17, 0, 0, 0, 0, 0, 18, 18, 0, 1, 2, 2, 1, 4, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 20, 20, 1, 1, 2, 1, 2, 20, 20, 0, 21, 21, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 21, 21, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 0, 0, 0, 9, 2, 2, 2, 11, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 3, 0, 0, 1, 1, 1, 3, 3, 3, 0, 0, 0, 1, 2, 0, 0, 2, 2, 4, 4, 4, 1, 1, 1, 4 ]
[ 1070, 5167, 32, 2393, 1188, 4808, 7099, 2681, 203, 1070, 5167, 81, 10772, 1356, 1188, 16812, 36, 203, 1070, 345, 742, 520, 1951, 4520, 32, 4280, 1188, 38923, 203, 1070, 345, 742, 520, 1951, 4520, 32, 5983, 1188, 8145, 203, 823, 14433, 2762, 44, 284, 617, 2388, 280, 1665, 284, 665, 1156, 1664, 505, 308, 784, 30, 3051, 711, 1568, 630, 1114, 2388, 280, 3051, 284, 665, 1390, 1104, 2681, 959, 26, 784, 30, 3796, 5413, 711, 291, 415, 3796, 5413, 610, 3177, 44, 4288, 442, 4808, 7099, 2681, 26, 784, 1114, 2388, 32, 1063, 32, 1486, 779, 30, 630, 1114, 2388, 32, 1063, 32, 1486, 4049, 27, 291, 813, 44, 324, 24764, 280, 630, 1114, 2388, 32, 17223, 1763, 1572, 32, 35620, 346, 324, 415, 646, 24764, 556, 646, 24764, 32, 3560, 81, 1956, 556, 646, 24764, 32, 1956, 81, 681, 44, 400, 3636, 3268, 463, 17223, 1763, 438, 646, 3272, 308, 271, 438, 5535, 27, 436, 12101, 9156, 683, 324, 2404, 280, 5053, 3560, 81, 1956, 25, 499, 24764, 32, 3560, 81, 1956, 30, 330, 1956, 81, 681, 25, 499, 24764, 32, 1956, 81, 681, 111, 324, 442, 16812, 36, 26, 1956, 280, 2404, 30, 2043, 81, 314, 280, 630, 1114, 2388, 32, 1063, 32, 1486, 779, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 1, 1, 1, 5, 4, 4, 2, 2, 3, 4, 4, 3, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 7, 6, 6, 5, 5, 5, 7, 9, 9, 9, 13, 12, 13, 11, 12, 10, 11, 11, 9, 9, 12, 13, 11, 12, 10, 11, 11, 9, 5, 5, 6, 6, 6, 9, 9, 13, 14, 12, 13, 13, 13, 11, 12, 11, 7, 7, 8, 11, 10, 10, 11, 12, 13, 13, 13, 9, 9, 10, 11, 12, 12, 12, 8, 8, 8, 10, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 7, 7, 9, 9, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 10, 7, 7, 8, 10, 10, 12, 11, 11, 10, 10, 12, 12, 11, 11, 14, 15, 13, 14, 12, 13, 13, 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 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 1, 2, 3, 3, 0, 4, 4, 1, 4, 4, 4, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 3, 3, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 3, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 0, 1, 0, 1, 1, 1, 1, 0, 0, 3, 3, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 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, 312, 548, 500, 81, 2501, 203, 1648, 81, 11043, 44, 313, 36, 32, 38, 20, 203, 2116, 44, 313, 48394, 488, 1799, 285, 11931, 24404, 1799, 285, 4731, 203, 4021, 81, 2310, 44, 4489, 6350, 544, 6562, 9241, 3974, 390, 16690, 624, 7257, 203, 2310, 44, 334, 429, 42710, 16932, 6350, 372, 600, 312, 548, 500, 1541, 461, 3217, 322, 3276, 284, 1491, 645, 322, 3298, 32, 1348, 2297, 8600, 600, 284, 2793, 688, 1098, 5749, 322, 2297, 372, 4465, 436, 312, 2818, 3700, 284, 2670, 14116, 556, 21431, 963, 415, 322, 3700, 438, 646, 3279, 32, 334, 429, 1348, 2297, 1957, 646, 2193, 3974, 6350, 328, 3488, 2926, 32, 284, 5294, 793, 488, 26, 30689, 500, 81, 1163, 27, 372, 8488, 624, 7257, 9241, 32, 203, 9971, 81, 10270, 81, 9854, 44, 312, 548, 500, 203, 2184, 44, 334, 6350, 44, 284, 3048, 44, 397, 429, 1682, 432, 6350, 372, 3240, 372, 322, 6562, 312, 548, 500, 3298, 2288, 322, 291, 9577, 6887, 32, 886, 14302, 1688, 645, 322, 2016, 291, 438, 4717, 32, 1670, 322, 439, 26, 1684, 81, 979, 27, 2793, 438, 3943, 30, 322, 291, 2297, 438, 646, 4717, 6222, 322, 3700, 438, 28892, 556, 291, 322, 1451, 432, 28336, 1401, 22054, 32, 284, 2129, 44, 861, 334, 4465, 81, 979, 44, 284, 3048, 44, 397, 429, 1682, 432, 5479, 372, 13396, 8187, 322, 1688, 432, 322, 291, 2016, 32, 886, 2899, 1098, 4465, 436, 2504, 3700, 372, 526, 861, 291, 2670, 14089, 7386, 32, 1670, 322, 21161, 438, 646, 861, 291, 4797, 322, 9577, 1451, 432, 28336, 30, 322, 2899, 8158, 32, 291, 2802, 8272, 32, 284, 20664, 44, 2107, 1684, 979, 785, 334, 2530, 44, 284, 3048, 44, 397, 429, 886, 439, 26, 2872, 27, 2793, 438, 1654, 328, 40875, 623, 322, 291, 439, 26, 1684, 81, 979, 27, 2793, 372, 6377, 322, 2530, 7231, 32, 225, 5381, 291, 2078, 884, 390, 26, 464, 27, 556, 390, 26, 1813, 547, 225, 1670, 322, 786, 438, 739, 372, 390, 26, 464, 27, 291, 1615, 1169, 3700, 3528, 328, 322, 4465, 81, 979, 2298, 526, 28892, 32, 225, 1670, 291, 322, 786, 438, 739, 372, 390, 26, 1813, 27, 1615, 1755, 1591, 432, 322, 2078, 2298, 526, 291, 28892, 32, 284, 1244, 44, 1169, 284, 16682, 44, 2107, 1813, 370, 330, 464, 785, 334, 28336, 44, 284, 3048, 44, 397, 429, 19009, 322, 1451, 432, 28336, 312, 2016, 1395, 810, 8855, 291, 2670, 561, 438, 11870, 3803, 32, 886, 2016, 438, 1420, 544, 322, 291, 1760, 3298, 3638, 11322, 461, 22423, 8187, 322, 291, 439, 26, 1684, 81, 979, 27, 5479, 32, 284, 1244, 44, 225, 35, 34, 334, 7898, 44, 284, 3048, 44, 397 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 6436, 619, 2065, 203, 465, 617, 2763, 203, 823, 5938, 2176, 2763, 32, 5297, 711, 284, 1780, 280, 330, 8279, 9919, 25, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 2599, 17094, 1664, 3207, 326, 5321, 27, 291, 630, 32, 15446, 280, 630, 32, 2095, 32, 5784, 26, 324, 9228, 81, 10944, 1057, 2699, 400, 588, 1648, 225, 37, 37, 34, 400, 328, 4712, 36, 328, 81, 1627, 45, 400, 763, 2575, 346, 301, 528, 3962, 81, 2731, 280, 4712, 38, 26, 266, 81, 1627, 30, 225, 34, 32, 34, 30, 225, 35, 32, 34, 293, 400, 320, 324, 4247, 370, 324, 10290, 81, 10944, 1057, 2699, 400, 588, 1648, 225, 37, 37, 34, 400, 963, 4712, 38, 296, 81, 1489, 45, 400, 763, 2575, 346, 301, 528, 296, 81, 1489, 280, 4712, 38, 26, 34, 32, 36, 30, 225, 34, 32, 38, 30, 225, 34, 32, 41, 30, 225, 35, 32, 34, 293, 400, 320, 324, 4247, 370, 291, 829, 291, 13228, 280, 2065, 32, 955, 2009, 1802, 34, 32, 34, 30, 225, 34, 32, 42, 30, 324, 429, 34, 32, 40, 30, 429, 34, 32, 42, 30, 1802, 34, 32, 40, 30, 429, 34, 32, 42, 30, 291, 8834, 291, 630, 32, 104, 713, 280, 630, 32, 2095, 32, 2668, 26, 12317, 32, 15315, 463, 88, 38, 1814, 452, 3651, 1157, 291, 630, 32, 104, 3355, 280, 630, 32, 2095, 32, 9309, 81, 955, 26, 784, 32, 15446, 30, 630, 32, 104, 713, 30, 330, 266, 81, 1627, 683, 284, 665, 2908, 26, 784, 30, 1133, 44, 1897, 30, 3118, 81, 1003, 44, 1897, 711, 291, 630, 32, 2095, 32, 4458, 32, 3815, 26, 1489, 4310, 35, 32, 34, 30, 225, 35, 32, 34, 30, 225, 35, 32, 34, 490, 291, 630, 32, 104, 3355, 32, 3169, 346, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 5938, 32, 1945, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 2, 0, 1, 1, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 9, 8, 8, 8, 9, 7, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 8, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 4, 4, 6, 6, 8, 9, 8, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 9, 9, 11, 11, 11, 9, 9, 11, 11, 11, 9, 9, 10, 10, 10, 9, 9, 11, 11, 11, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 8, 13, 12, 13, 12, 14, 14, 14, 11, 11, 10, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 10, 10, 8, 8, 10, 10, 10, 10, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 5, 4, 3, 3, 9, 10, 8, 9, 7, 8, 7, 9, 8, 10, 10, 10, 9, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 4, 4, 8, 9, 9, 7, 8, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 5, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 29947, 203, 1070, 16198, 81, 9356, 1188, 1156, 2250, 7642, 1156, 1648, 505, 203, 1270, 44, 284, 12786, 280, 2156, 440, 10229, 32, 9632, 1895, 850, 346, 284, 5557, 5289, 940, 280, 2156, 440, 23150, 940, 32, 9632, 1895, 850, 346, 203, 7343, 45338, 44, 284, 23348, 280, 3778, 10335, 5844, 203, 1824, 44, 284, 23348, 280, 12786, 474, 3228, 96, 25, 474, 5557, 5289, 940, 203, 43764, 32, 5522, 26, 284, 636, 47, 505, 2250, 7642, 284, 1503, 47, 505, 1648, 7642, 284, 3048, 347, 5560, 5422, 994, 4865, 43799, 661, 2330, 11537, 25768, 392, 284, 1984, 1057, 641, 555, 933, 32, 508, 33, 2558, 581, 33, 2161, 31, 9356, 370, 284, 4081, 1057, 68, 267, 581, 5826, 270, 370, 284, 4081, 81, 1935, 1057, 2558, 581, 32, 906, 270, 50, 7253, 32, 508, 370, 284, 7599, 47, 43764, 32, 1809, 81, 5043, 1026, 284, 3414, 81, 3953, 12516, 4466, 81, 8121, 950, 1605, 835, 284, 1946, 81, 2310, 4310, 17513, 471, 284, 3541, 1057, 6675, 370, 284, 43397, 6020, 291, 330, 20235, 5400, 2037, 225, 35, 429, 4061, 10137, 370, 291, 330, 34034, 6633, 2037, 17764, 370, 291, 330, 25900, 1171, 2037, 6642, 40201, 370, 291, 330, 23560, 6633, 2037, 4865, 370, 291, 330, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 38, 370, 291, 330, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 39, 370, 284, 2505, 284, 2443, 81, 13966, 47, 1676, 440, 15965, 32, 2760, 1895, 33232, 1026, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 3, 3, 0, 1, 1, 1, 1, 4, 4, 8, 10, 10, 10, 10, 7, 6, 2, 2, 5, 5, 4, 4, 8, 10, 10, 10, 10, 10, 7, 6, 1, 2, 2, 2, 2, 2, 5, 5, 7, 7, 1, 2, 2, 2, 2, 5, 5, 7, 7, 10, 9, 6, 6, 7, 7, 0, 4, 3, 4, 3, 3, 3, 4, 5, 5, 5, 3, 3, 4, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 7, 6, 7, 7, 7, 6, 3, 3, 5, 5, 4, 8, 8, 8, 8, 6, 5, 3, 3, 5, 5, 4, 6, 5, 3, 3, 4, 6, 6, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 5, 5, 4, 8, 8, 10, 10, 10, 10, 7, 6, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 3, 3, 3, 0, 0, 1, 1, 2, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 13, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 15, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 17, 1, 2, 1, 1, 19, 1, 2, 1, 1, 21, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 23, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1417, 1188, 1417, 203, 465, 7744, 203, 823, 4107, 36, 86, 44, 284, 827, 687, 280, 330, 86, 25, 284, 665, 1156, 1664, 3207, 784, 30, 816, 30, 533, 711, 291, 630, 32, 106, 280, 1897, 26, 106, 27, 291, 630, 32, 107, 280, 1897, 26, 107, 27, 284, 665, 1156, 1731, 3207, 784, 711, 291, 442, 308, 91, 436, 595, 328, 308, 784, 32, 106, 30, 630, 32, 107, 490, 284, 665, 1156, 13707, 3207, 784, 711, 291, 443, 81, 426, 280, 827, 26, 784, 14585, 426, 505, 291, 442, 17246, 1371, 19, 100, 835, 15466, 100, 1748, 2473, 1643, 26, 823, 81, 426, 30, 319, 784, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 596, 26, 7288, 26, 784, 490, 284, 665, 1156, 3651, 3207, 784, 711, 291, 442, 3519, 26, 955, 26, 2863, 36, 86, 32, 681, 687, 30, 630, 490, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 442, 8825, 26, 784, 27, 610, 8825, 26, 2455, 27, 284, 665, 1156, 3596, 3207, 784, 711, 291, 442, 7744, 32, 90, 19107, 26, 784, 32, 106, 30, 630, 32, 107, 27, 284, 665, 1156, 2420, 3207, 784, 711, 291, 442, 1560, 26, 3596, 26, 784, 490, 284, 665, 8775, 26, 784, 711, 291, 442, 7744, 32, 7708, 36, 26, 784, 32, 107, 30, 630, 32, 106, 27, 284, 665, 1156, 1643, 3207, 784, 30, 4550, 81, 2285, 1057, 7831, 291, 415, 4550, 81, 2285, 32, 20643, 463, 98, 7831, 23688, 4550, 81, 2285, 280, 4550, 81, 2285, 20129, 35, 79, 23688, 16344, 280, 308, 3596, 26, 784, 471, 630, 32, 3695, 1157, 23688, 16162, 81, 3972, 280, 4145, 6807, 2149, 6457, 16189, 813, 44, 324, 16344, 280, 630, 23688, 16162, 81, 3972, 280, 330, 15266, 12797, 25, 16189, 6339, 280, 308, 1643, 26, 85, 30, 4550, 81, 2285, 27, 436, 281, 328, 16344, 27, 16189, 442, 16162, 81, 3972, 32, 1643, 2740, 3527, 27, 10065, 477, 17614, 284, 665, 645, 3651, 26, 6933, 30, 20515, 5231, 711, 291, 2349, 104, 280, 4117, 1071, 26, 13193, 5231, 547, 2405, 26, 6933, 32, 681, 687, 27, 291, 442, 9011, 2740, 1835, 104, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 5, 4, 4, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 7, 7, 10, 9, 10, 8, 8, 9, 10, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 9, 8, 8, 4, 4, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 8, 8, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 9, 11, 11, 11, 10, 11, 11, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 9, 10, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 7, 3, 3, 5, 8, 8, 7, 8, 7, 9, 9, 5, 5, 9, 9, 8, 8, 10, 10, 9, 12, 9, 6, 6, 8, 8, 11, 11, 12, 11, 9, 11, 12, 11, 6, 6, 9, 9, 8, 8, 10, 10, 10, 5, 5, 6, 6, 6, 9, 9, 7, 7, 10, 10, 9, 9, 11, 11, 11, 4, 4, 6, 6, 9, 9, 10, 9, 9, 10, 10, 9, 7, 8, 8, 8, 7, 4, 4, 5, 8, 8, 7, 8, 7, 9, 7, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 5, 6, 5, 4, 4, 8, 7, 7, 11, 11, 12, 12, 11, 10, 9, 11, 10, 11, 11, 9, 5, 5, 6, 8, 10, 10, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 3, 3, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 1, 1, 1, 2, 4, 4, 0, 1, 0, 1, 1, 1, 3, 3, 5, 1, 1, 1, 2, 5, 5, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 3, 3, 6, 1, 1, 1, 2, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 7, 1, 1, 1, 2, 7, 7, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 8, 1, 1, 1, 2, 8, 8, 0, 1, 0, 1, 1, 1, 3, 3, 9, 2, 1, 2, 9, 9, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 10, 1, 1, 1, 2, 2, 0, 0, 3, 1, 10, 10, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 2, 2, 2, 2, 2, 4, 4, 2, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 11, 11, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 4, 4, 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 ]
[ 505, 464, 505, 280, 2107, 56, 8115, 370, 330, 890, 81, 88, 10199, 370, 330, 2245, 81, 88, 980, 38850, 370, 2607, 330, 11215, 81, 43831, 81, 761, 785, 203, 465, 2322, 203, 465, 5237, 203, 465, 316, 203, 1070, 6436, 32, 8524, 1188, 2156, 81, 23423, 35, 203, 1070, 1673, 2304, 32, 3731, 1163, 1188, 622, 81, 2958, 81, 1356, 203, 1070, 1673, 2304, 32, 33041, 81, 30226, 1188, 506, 10360, 936, 2215, 203, 1070, 1673, 2304, 32, 4275, 1188, 9306, 2304, 2459, 924, 30, 766, 275, 9306, 2304, 2650, 924, 30, 23917, 924, 30, 6116, 924, 30, 9306, 2304, 6841, 924, 203, 1070, 1673, 2304, 32, 1040, 1188, 6122, 81, 38565, 30, 596, 452, 2420, 203, 1070, 6436, 32, 2452, 2304, 32, 85, 10199, 1188, 390, 8115, 30, 4479, 81, 1356, 81, 2184, 203, 1070, 6436, 32, 2452, 2304, 1188, 1245, 203, 1070, 6436, 32, 2452, 2304, 32, 14481, 81, 1040, 1188, 438, 81, 800, 30, 1169, 81, 8352, 30, 438, 81, 7508, 30, 766, 284, 1930, 81, 1433, 81, 761, 30, 622, 81, 4190, 81, 1356, 81, 6728, 203, 1070, 6436, 32, 2452, 2304, 32, 2493, 81, 2501, 1188, 2290, 81, 21823, 203, 1070, 6436, 32, 2452, 2304, 1188, 617, 7883, 81, 2304, 203, 1070, 638, 9236, 1188, 10572, 1063, 203, 505, 2559, 32095, 505, 280, 827, 203, 823, 20209, 5965, 26, 984, 711, 284, 3097, 203, 589, 4655, 668, 26, 101, 711, 284, 415, 438, 81, 800, 26, 101, 711, 291, 442, 6122, 81, 38565, 26, 101, 27, 284, 813, 44, 291, 442, 309, 203, 589, 596, 36, 2420, 26, 101, 711, 284, 415, 438, 81, 800, 26, 101, 711, 291, 442, 596, 452, 2420, 26, 101, 27, 284, 442, 1560, 26, 101, 27, 203, 589, 438, 81, 7508, 81, 1028, 81, 8352, 26, 4948, 711, 284, 442, 438, 81, 7508, 26, 4948, 27, 461, 1169, 81, 8352, 26, 4948, 27, 203, 823, 506, 8115, 26, 53, 8115, 711, 284, 1673, 2304, 81, 6862, 280, 10572, 1063, 26, 291, 1673, 2304, 81, 1906, 1057, 1163, 81, 3499, 370, 291, 310, 604, 385, 280, 308, 2521, 30, 1665, 30, 330, 96, 604, 385, 370, 596, 36, 2420, 30, 3177, 471, 291, 1289, 1004, 280, 308, 2521, 30, 1665, 30, 330, 1347, 1004, 370, 596, 36, 2420, 30, 3177, 471, 291, 4588, 280, 308, 2521, 30, 1665, 30, 330, 2811, 370, 596, 36, 2420, 30, 3177, 471, 291, 9541, 280, 308, 2521, 30, 1665, 30, 330, 10529, 370, 596, 36, 2420, 30, 3177, 471, 284, 829, 284, 2016, 81, 6862, 280, 10572, 1063, 26, 291, 1673, 2304, 81, 1906, 1057, 1163, 81, 3499, 370, 291, 8980, 81, 88, 41, 41, 280, 2726, 8022, 32, 10199, 81, 88, 41, 41, 370, 330, 56, 41, 41, 370, 330, 88, 41, 41, 2493, 370, 1665, 30, 3177, 471, 291, 8980, 81, 88, 43, 34, 280, 2726, 8022, 32, 10199, 81, 88, 43, 34, 370, 330, 56, 43, 34, 370, 330, 88, 43, 34, 2493, 370, 1665, 30, 3177, 471, 291, 8980, 81, 3299, 280, 2726, 8022, 32, 10199, 81, 3299, 370, 330, 56 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 6, 5, 3, 3, 5, 7, 7, 7, 8, 7, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 6, 5, 3, 3, 5, 7, 7, 7, 8, 7, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 6, 6, 7, 6, 4, 4, 6, 6, 6, 7, 6, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 6, 6, 8, 8, 7, 7, 9, 8, 8, 8, 8, 10, 10, 10, 10, 8, 9, 9, 8, 8, 8, 6, 6, 8, 7, 7, 9, 8, 8, 8, 8, 10, 10, 10, 8, 9, 9, 8, 8, 8, 6, 6, 7, 7, 9, 8, 8, 8, 8, 10, 10, 8, 9, 9, 8, 8, 8, 6, 6, 7, 7, 9, 8, 8, 8, 8, 10, 10, 8, 9, 9, 8, 8, 8, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 8, 8, 8, 8, 6, 6, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10 ]
[ 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 5, 5, 0, 1, 2, 2, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 7, 7, 5, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 1, 2, 2, 1, 4, 4, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 10, 10, 1, 2, 2, 10, 10, 0, 11, 11, 1, 2, 2, 1, 4, 4, 4, 11, 11, 0, 0, 11, 11, 0, 0, 11, 11, 0, 0, 11, 11, 9, 11, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 12, 12, 1, 2, 2, 1, 4, 4, 4, 12, 12, 0, 0, 0, 13, 13, 1, 2, 2, 13, 13, 0, 0, 0, 0, 14, 14, 0, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 17, 17, 1, 2, 1, 2, 17, 17, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 18, 18, 1, 1, 2, 1, 2, 18, 18, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 19, 19, 1, 1, 1, 1, 1, 1, 2, 1, 2, 19, 19, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 20, 20, 1, 2, 1, 1, 2, 20, 20, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 3, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 7, 7, 2, 2, 2, 1, 1, 0, 5, 5, 1, 2, 2, 2, 2, 1, 1, 2, 2, 7, 7, 2, 2, 2, 1, 1, 7, 7, 1, 2, 2, 2, 2, 1, 2, 2, 7, 7, 2, 2, 2, 1, 1, 9, 9, 1, 2, 2, 2, 2, 1, 2, 2, 7, 7, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 7, 7, 1, 1, 1, 1, 1, 2, 2, 1 ]
[ 1070, 32625, 32, 4266, 1188, 32625, 858, 203, 465, 6436, 619, 2065, 203, 1070, 2156, 81, 419, 673, 32, 2958, 32, 15096, 1188, 2064, 81, 11115, 203, 465, 3619, 419, 673, 203, 823, 6934, 24768, 1006, 26, 41827, 858, 32, 7233, 711, 334, 665, 894, 81, 22262, 81, 12407, 81, 545, 2660, 1734, 26, 784, 711, 284, 4181, 280, 3619, 419, 673, 32, 944, 81, 4873, 81, 3626, 440, 4873, 81, 100, 1069, 657, 284, 17821, 280, 2064, 81, 11115, 32, 4075, 24768, 17766, 26, 3626, 27, 284, 5295, 30, 13330, 30, 786, 280, 17821, 32, 19596, 26, 4332, 81, 466, 21412, 6020, 77, 34, 614, 428, 34, 13138, 284, 2065, 32, 4266, 32, 862, 81, 35502, 26, 10957, 77, 34, 614, 2065, 32, 5783, 26, 37, 4165, 37, 7447, 284, 2065, 32, 4266, 32, 862, 81, 35502, 26, 10957, 77, 35, 614, 2065, 32, 5783, 26, 37, 4165, 37, 7447, 284, 630, 32, 5299, 26, 19869, 30, 225, 37, 27, 284, 630, 32, 47628, 26, 853, 30, 225, 34, 32, 34, 27, 334, 665, 894, 81, 6270, 81, 2997, 26, 784, 711, 284, 4181, 280, 3619, 419, 673, 32, 944, 81, 4873, 81, 3626, 440, 4873, 81, 100, 1069, 657, 284, 17821, 280, 2064, 81, 11115, 32, 4075, 24768, 17766, 26, 3626, 27, 284, 17821, 32, 1113, 3626, 81, 466, 21412, 280, 3813, 34, 614, 428, 34, 3212, 284, 5273, 81, 1986, 30, 5273, 81, 1986, 81, 16780, 280, 17821, 32, 2997, 346, 284, 630, 32, 862, 720, 1324, 26, 8773, 81, 1986, 30, 428, 35, 30, 225, 35, 1130, 284, 630, 32, 862, 720, 1324, 26, 8773, 81, 1986, 81, 16780, 30, 428, 35, 32, 34, 30, 225, 35, 32, 34, 1130, 334, 665, 894, 81, 9455, 12699, 81, 32162, 26, 784, 711, 284, 4181, 280, 3619, 419, 673, 32, 407, 18540, 81, 452, 81, 4873, 81, 3626, 26, 978, 419, 673, 32, 944, 81, 3626, 440, 9455, 12699, 81, 32162, 2131, 284, 17821, 280, 2064, 81, 11115, 32, 4075, 24768, 17766, 26, 3626, 27, 284, 5295, 30, 13330, 30, 786, 280, 17821, 32, 19596, 26, 4332, 81, 466, 21412, 6020, 77, 34, 614, 428, 34, 13138, 284, 2910, 81, 1040, 618, 280, 5295, 77, 34, 79, 477, 17821, 32, 7007, 29067, 477, 5295, 77, 35, 79, 284, 630, 32, 47628, 26, 1449, 26, 17055, 32, 7007, 29067, 77, 34, 79, 477, 5295, 77, 35, 5727, 2910, 81, 1040, 618, 77, 34, 1130, 284, 630, 32, 47628, 26, 1449, 26, 10957, 77, 34, 79, 477, 17821, 32, 7007, 29067, 77, 35, 5727, 2910, 81, 1040, 618, 77, 35, 1130, 284, 630, 32, 5299, 26, 19869, 30, 225, 42, 27, 284, 630, 32, 47628, 26, 853, 30, 225, 34, 32, 34, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 334, 32625, 858, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 9, 11, 12, 11, 10, 12, 11, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 8, 9, 8, 7, 10, 11, 10, 11, 10, 9, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 8, 9, 8, 7, 10, 11, 10, 11, 10, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 9, 8, 7, 9, 8, 4, 4, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 8, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 8, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 11, 11, 11, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 9, 11, 12, 11, 10, 12, 11, 4, 4, 7, 7, 7, 6, 6, 9, 10, 9, 8, 8, 9, 10, 10, 7, 7, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 13, 12, 13, 13, 11, 12, 11, 10, 10, 11, 12, 11, 7, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 12, 11, 12, 11, 10, 10, 12, 13, 13, 11, 12, 11, 7, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 6, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 1, 2, 0, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 3, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 3, 2, 3, 4, 4, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 3, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 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 ]
[ 505, 464, 505, 280, 428, 284, 330, 25514, 370, 284, 330, 5077, 33940, 661, 25514, 370, 330, 54, 994, 2529, 10532, 370, 330, 924, 6760, 370, 330, 18463, 10907, 370, 284, 330, 1006, 6760, 370, 330, 1006, 4888, 370, 330, 33991, 7981, 370, 330, 33991, 10907, 370, 284, 330, 3607, 705, 2459, 370, 330, 297, 4045, 370, 330, 297, 4045, 4542, 370, 330, 297, 7233, 370, 284, 330, 426, 370, 330, 8786, 761, 370, 330, 3908, 81, 521, 81, 3765, 370, 284, 1481, 203, 465, 2322, 30, 3738, 30, 11685, 30, 5237, 30, 17787, 30, 1360, 203, 465, 745, 28998, 30, 1133, 203, 1070, 8206, 13835, 32, 2958, 1188, 10225, 30, 1245, 30, 7829, 30, 7896, 30, 16765, 203, 1070, 8206, 13835, 32, 2958, 32, 286, 4677, 332, 1188, 12687, 2459, 2212, 203, 1070, 8206, 13835, 32, 2958, 32, 9561, 1188, 3036, 203, 1070, 8206, 13835, 32, 28783, 1188, 13423, 203, 1070, 8206, 13835, 32, 22402, 1188, 4527, 30, 15798, 203, 1070, 8206, 13835, 32, 22402, 32, 283, 12539, 1188, 439, 7233, 203, 1070, 8206, 13835, 32, 22402, 32, 24124, 1188, 617, 8112, 4672, 30, 1683, 6008, 12069, 20624, 4672, 203, 1070, 8206, 13835, 32, 22402, 32, 18986, 1188, 2108, 10907, 203, 1070, 27847, 348, 32, 3337, 1188, 4575, 203, 978, 2243, 280, 1156, 465, 25300, 18986, 683, 203, 589, 438, 4045, 26, 1647, 711, 284, 415, 646, 6937, 26, 1647, 30, 3738, 32, 2459, 620, 711, 291, 442, 3177, 284, 29155, 280, 2322, 32, 983, 32, 48271, 26, 500, 32, 983, 32, 15705, 26, 1647, 3667, 761, 28154, 77, 34, 79, 284, 442, 29155, 610, 11477, 1664, 505, 25, 203, 589, 438, 4045, 4542, 26, 7781, 711, 284, 436, 1447, 328, 8529, 2740, 421, 32, 371, 81, 12420, 307, 47794, 34, 2786, 291, 3219, 974, 280, 11477, 1664, 505, 25, 474, 1447, 291, 415, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 7781, 30, 3219, 974, 8531, 324, 442, 3219, 974, 284, 442, 3177, 203, 589, 2432, 761, 26, 3607, 35, 30, 4870, 36, 711, 284, 442, 2322, 32, 983, 32, 21379, 26, 3607, 35, 27, 610, 2322, 32, 983, 32, 21379, 26, 3607, 36, 27, 203, 589, 4870, 705, 2459, 26, 3359, 711, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 3359, 711, 291, 3636, 10091, 4912, 100, 4163, 1330, 2307, 20, 904, 308, 3359, 33702, 284, 1596, 44, 291, 2152, 280, 10225, 32, 9281, 4277, 26, 9057, 32, 3607, 705, 32547, 26, 3359, 490, 284, 2940, 308, 22239, 30, 29316, 711, 291, 442, 617, 465, 20220, 26, 3359, 27, 284, 2152, 974, 280, 2322, 32, 983, 32, 48271, 26, 2094, 3667, 761, 505, 5594, 34, 79, 474, 5608, 978, 25, 284, 2432, 280, 18623, 26, 500, 32, 983, 30, 330, 8786, 761, 370, 2432, 761, 27, 284, 415, 2322, 32, 983, 32, 29712, 26, 3359, 27, 461, 646, 2432, 26, 3359, 30, 2152, 974, 711, 291, 3555, 5237, 32, 3477, 77, 2094, 3667, 426, 505, 79, 291, 2152, 280, 617, 465, 20220, 26, 3359, 27, 284, 442, 2152, 203, 589, 617, 465, 20220, 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, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 2, 2, 4, 4, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 6, 7, 6, 6, 7, 8, 8, 6, 3, 3, 5, 2, 2, 4, 4, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 11, 10, 11, 11, 5, 6, 5, 2, 2, 3, 4, 4, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 6, 10, 9, 10, 10, 10, 10, 9, 5, 4, 3, 3, 7, 6, 6, 9, 9, 9, 7, 7, 4, 4, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 9, 9, 10, 9, 5, 5, 7, 8, 2, 2, 3, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 3, 7, 8, 6, 7, 6, 7, 7, 6, 4, 4, 7, 8, 6, 7, 6, 7, 7, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 7, 8, 6, 7, 6, 7, 6, 3, 3, 5, 7, 10, 10, 10, 10, 10, 8, 8, 10, 9, 2, 2, 3, 3, 3, 6, 6, 8, 9, 9, 8, 11, 10, 11, 11, 11, 10, 11, 10, 3, 3, 4, 6, 5, 5, 5, 4, 4, 6, 8, 8, 8, 9, 8, 2, 2, 5, 4, 4, 9, 10, 8, 9, 8, 10, 9, 10, 10, 8, 7, 6, 5, 5, 7, 7, 2, 2, 4, 4, 6, 8, 7, 8, 6, 6, 8, 8, 8, 6, 7, 6, 2, 2, 3, 7, 8, 6, 7, 6, 7, 6, 4, 4, 5, 7, 8, 7, 7, 8, 7, 3, 3, 5, 7, 8, 6, 8, 7, 8, 8, 6, 4, 4, 6, 6, 8, 8, 8, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2 ]
[ 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 4, 8, 8, 0, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 10, 10, 0, 1, 2, 1, 4, 10, 10, 0, 0, 11, 11, 0, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 13, 13, 1, 2, 1, 2, 13, 13, 0, 1, 1, 1, 1, 1, 3, 2, 2, 1, 0, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 3, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 5, 5, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 0, 1, 4, 4, 1, 0, 15, 15, 1, 2, 1, 1, 2, 2, 3, 2, 15, 15, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 16, 16, 1, 1, 2, 1, 2, 16, 16, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 2, 1, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 4, 4, 5, 0, 17, 17, 1, 1, 2 ]
[ 1070, 24300, 6508, 1188, 319, 203, 1586, 2128, 285, 72, 2441, 280, 428, 29265, 308, 7754, 26, 35, 30, 18526, 101, 471, 24156, 26, 39, 30, 18526, 101, 471, 225, 34, 32, 35, 35, 38, 42, 471, 353, 308, 7754, 26, 36, 30, 18526, 101, 471, 24156, 26, 38, 30, 18526, 101, 471, 225, 34, 32, 35, 35, 34, 42, 471, 353, 308, 7754, 26, 37, 30, 18526, 101, 471, 24156, 26, 37, 30, 18526, 101, 471, 225, 34, 32, 35, 34, 41, 34, 471, 353, 308, 7754, 26, 38, 30, 18526, 101, 471, 24156, 26, 36, 30, 18526, 101, 471, 225, 34, 32, 35, 34, 36, 35, 471, 353, 308, 7754, 26, 39, 30, 18526, 101, 471, 24156, 26, 35, 30, 18526, 101, 471, 225, 34, 32, 35, 34, 34, 34, 27, 1481, 203, 589, 2179, 5450, 26, 104, 30, 16105, 280, 225, 36, 711, 284, 2179, 280, 330, 1784, 15231, 1479, 904, 22503, 25, 904, 16105, 284, 442, 2179, 904, 308, 104, 319, 225, 35, 34, 34, 27, 203, 589, 2179, 5606, 26, 98, 30, 16105, 280, 225, 36, 711, 284, 2179, 280, 330, 1784, 15231, 1479, 25, 904, 16105, 284, 442, 2179, 904, 298, 203, 589, 2182, 45950, 26, 1160, 30, 18564, 30, 456, 30, 636, 711, 284, 2179, 280, 6611, 35, 36, 101, 523, 23, 35, 36, 101, 523, 23, 35, 36, 101, 523, 23, 35, 36, 101, 523, 23, 35, 36, 101, 25, 284, 3338, 280, 2179, 904, 2726, 1287, 3673, 1195, 1322, 1195, 3060, 45315, 1195, 421, 3032, 1195, 731, 683, 284, 5750, 280, 20514, 319, 2069, 26, 2111, 27, 284, 343, 1551, 5275, 280, 34020, 319, 2069, 26, 2111, 27, 284, 1459, 25416, 284, 1459, 26, 26010, 5275, 27, 284, 1459, 26, 426, 27, 284, 1459, 26, 5275, 27, 284, 1411, 280, 28421, 1909, 26, 94, 293, 284, 1542, 32, 1282, 45950, 26, 8774, 30, 1411, 30, 4720, 11807, 26, 35, 34, 34, 34, 30, 225, 36, 39, 34, 30, 225, 35, 87, 31, 41, 30, 225, 35, 87, 31, 41, 30, 225, 35, 87, 31, 41, 490, 284, 1459, 463, 3675, 44, 904, 101, 25, 904, 1542, 32, 2132, 1157, 284, 1459, 26, 5275, 27, 284, 1459, 26, 2111, 27, 284, 1459, 26, 5275, 27, 284, 3380, 924, 280, 225, 34, 32, 34, 284, 436, 2535, 2128, 285, 30, 9332, 328, 8529, 26, 1586, 2128, 285, 72, 2441, 30, 18564, 711, 291, 2491, 3673, 30, 3104, 30, 3920, 280, 2535, 2128, 285, 291, 489, 14581, 280, 9332, 32, 1160, 882, 346, 291, 4500, 280, 9332, 32, 421, 3032, 5450, 45315, 26, 13407, 72, 30, 225, 35, 32, 34, 87, 31, 38, 30, 225, 35, 34, 34, 34, 30, 225, 34, 32, 34, 39, 30, 225, 34, 32, 39, 34, 27, 291, 1048, 280, 4500, 429, 3920, 291, 3380, 924, 1454, 11366, 26, 731, 27, 291, 1459, 26, 1643, 904, 308, 1287, 3673, 30, 3104, 30, 715, 2179, 5450, 26, 3060, 30, 38, 471, 2179, 5450, 26, 421, 3032, 30, 38, 471, 715, 2179, 5450, 26, 731, 30, 38, 2610, 284, 10858, 924, 280, 3380 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 7, 6, 6, 7, 6, 4, 6, 7, 6, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 6, 6, 7, 6, 6, 7, 6, 4, 6, 7, 6, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 6, 6, 7, 6, 6, 7, 6, 4, 6, 7, 6, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 6, 6, 7, 6, 6, 7, 6, 4, 6, 7, 6, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 6, 6, 7, 6, 6, 7, 6, 4, 6, 7, 6, 6, 7, 6, 4, 5, 5, 5, 5, 5, 5, 4, 3, 0, 1, 1, 2, 2, 3, 2, 2, 3, 3, 4, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 3, 4, 4, 7, 6, 6, 7, 7, 7, 5, 0, 1, 1, 2, 2, 3, 2, 2, 3, 3, 4, 2, 1, 1, 4, 4, 7, 7, 7, 7, 5, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 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, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 5, 5, 7, 8, 7, 2, 2, 5, 5, 4, 4, 5, 5, 7, 8, 7, 2, 2, 5, 2, 2, 5, 6, 6, 5, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 5, 6, 6, 5, 6, 5, 5, 5, 5, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 2, 2, 5, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 5, 4, 4, 5, 5, 5, 2, 2, 3, 5, 5, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 5, 5, 5, 3, 3, 8, 7, 7, 7, 7, 6, 6, 7, 7, 4, 4, 7, 6, 6, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8, 4, 4, 6, 6, 7, 7, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 7, 9, 8, 8, 10, 10, 9, 9, 9, 9, 9, 11, 11, 12, 11, 12, 11, 9, 11, 11, 12, 12, 11, 12, 11, 9, 9, 11, 11, 12, 11, 12, 11, 2, 2, 5, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 5, 5, 5, 5, 1, 2, 2, 0, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 5, 5, 5, 5, 5, 5, 3, 2, 2, 0, 1, 1, 1, 1, 3, 1, 5, 1, 1, 1, 1, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 0, 1, 1, 1, 1, 3, 1, 7, 1, 1, 1, 1, 3, 1, 7, 5, 5, 5, 5, 5, 5, 7, 2, 2, 0, 1, 1, 1, 1, 3, 1, 9, 1, 1, 1, 1, 3, 1, 9, 5, 5, 5, 5, 5, 5, 9, 2, 0, 2, 2, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 0, 0, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 0, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 2, 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, 2, 4, 4, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 4, 4, 1, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 5, 1, 1, 7, 7, 7, 7, 1, 1, 9, 9, 9, 9, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 4, 4, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 16, 0, 0, 1, 1, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 16, 16, 0, 0, 0, 0, 0, 0, 0, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 5, 5, 5, 5, 1, 1, 7, 7, 7, 7, 1, 1, 9, 9, 9, 9, 1, 5, 5, 0, 0, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 5, 5, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 3, 1, 2, 0, 1, 1, 1, 1, 3, 1, 2, 2, 0, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0 ]
[ 465, 5741, 203, 465, 20536, 103, 3291, 619, 3920, 203, 1070, 6765, 17594, 32, 2393, 32, 913, 1188, 20359, 81, 779, 81, 15816, 203, 1070, 6765, 17594, 32, 3527, 32, 1552, 2925, 1188, 18548, 81, 2833, 619, 312, 1909, 83, 81, 615, 203, 1070, 6765, 17594, 32, 3527, 32, 2175, 81, 17594, 1188, 660, 619, 14108, 81, 85, 203, 1070, 6765, 17594, 32, 913, 1188, 308, 284, 45623, 81, 4959, 30, 45623, 81, 2474, 30, 45623, 81, 16454, 30, 8452, 81, 8439, 1099, 31852, 4516, 81, 7383, 30, 284, 8452, 81, 8439, 1099, 31852, 4516, 81, 15707, 27, 203, 1070, 6765, 17594, 32, 1262, 1188, 3309, 203, 1070, 6765, 17594, 32, 11452, 1188, 9527, 35263, 924, 203, 1070, 6765, 17594, 32, 8774, 1188, 1359, 81, 6460, 619, 6677, 30, 4422, 2029, 203, 1070, 6765, 17594, 32, 4554, 1188, 5111, 81, 31667, 203, 1070, 6765, 17594, 32, 1040, 32, 30148, 525, 1188, 7502, 1104, 203, 1070, 638, 1188, 1913, 81, 1237, 203, 1070, 638, 913, 1188, 308, 284, 45623, 81, 1186, 1023, 81, 20689, 81, 8094, 30, 45623, 81, 726, 1460, 51, 30, 45623, 81, 18004, 3204, 69, 30, 284, 45623, 81, 29698, 29243, 81, 6037, 81, 2413, 30, 45623, 81, 1197, 11785, 780, 65, 81, 10923, 81, 779, 30, 45623, 81, 18783, 81, 6191, 30, 284, 45623, 81, 13387, 30, 45623, 81, 32327, 81, 8750, 69, 30, 45623, 81, 32327, 81, 8750, 69, 81, 18524, 81, 2413, 30, 284, 45623, 81, 613, 21199, 30, 45623, 81, 25670, 81, 2554, 81, 2413, 30, 45623, 81, 7100, 9629, 81, 1589, 81, 2413, 30, 284, 45623, 81, 4975, 81, 23152, 81, 779, 30, 4085, 10383, 30, 24861, 81, 10450, 30, 24861, 81, 2383, 54, 27, 203, 1070, 638, 22594, 1188, 7578, 11334, 203, 20744, 32477, 280, 2107, 31667, 31, 37935, 1008, 17322, 379, 34, 32, 35, 35, 785, 203, 33384, 42391, 940, 280, 2107, 525, 785, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 5807, 81, 4959, 280, 24861, 81, 2383, 54, 203, 12744, 81, 25670, 81, 16134, 280, 330, 7001, 81, 3517, 25, 203, 12744, 81, 25670, 81, 5976, 16134, 280, 330, 7001, 81, 18235, 25, 203, 726, 1460, 51, 81, 18783, 81, 20740, 280, 3920, 32, 3694, 1371, 284, 3920, 32, 7556, 26, 1552, 2925, 81, 615, 32, 14594, 81, 17513, 711, 6677, 32, 800, 30, 284, 3920, 32, 7556, 26, 1552, 2925, 81, 615, 32, 14594, 81, 20745, 81, 21033, 40723, 711, 6677, 32, 800, 30, 284, 3920, 32, 7556, 26, 1552, 2925, 81, 615, 32, 14594, 81, 2474, 711, 6677, 32, 800, 30, 203, 1748, 203, 32327, 81, 18783, 81, 20740, 280, 3920, 32, 3694, 1371, 284, 3920, 32, 7556, 26, 14594, 81, 2474, 711, 6677, 32, 800, 30, 284, 3920, 32, 7556, 26, 14594, 81, 18004, 3204, 69, 711, 3920, 32, 1934, 26, 4126, 32, 12830, 81, 668, 30, 428, 4126, 32, 800, 5727, 284, 3920, 32, 7556, 26, 3806, 81, 85, 32, 14594, 81, 43791, 81, 38865, 711, 6677, 32, 800, 30, 203, 1748, 203, 1099, 31852, 4516, 81, 20740, 280, 3920, 32, 3694, 1371, 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, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 4, 4, 2, 2, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 0, 1, 1, 4, 1, 1, 3, 0, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 8, 9, 8, 10, 10, 10, 10, 9, 10, 10, 10, 8, 6, 7, 8, 5, 5, 5, 8, 9, 8, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 8, 6, 7, 8, 5, 5, 5, 8, 9, 8, 10, 10, 10, 10, 9, 10, 10, 10, 8, 6, 7, 8, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 8, 9, 8, 9, 9, 9, 8, 6, 7, 8, 5, 5, 5, 8, 9, 8, 9, 9, 9, 9, 9, 8, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 11, 10, 11, 9, 5, 5, 8, 9, 8, 10, 10, 10, 9, 10, 10, 10, 10, 10, 8, 6, 7, 8, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 5 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 3, 3, 0, 0, 3, 3, 2, 2, 2, 2, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 3, 3, 2, 2, 0, 5, 5, 0, 1, 2, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 3, 3, 8, 8, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 1, 4, 4, 10, 10, 0, 0, 11, 11, 11, 11, 0, 0, 0, 12, 12, 0, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 12, 12, 12, 0, 0, 12, 12, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 0, 0, 0, 12, 12, 0, 12, 12, 0, 0, 12, 12, 0, 0, 0, 12, 0, 13, 13, 0, 13, 13, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 5, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 3, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 5, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1 ]
[ 465, 5237, 203, 465, 9226, 203, 1070, 2194, 13460, 1188, 2194, 13460, 30, 7723, 46685, 203, 465, 9226, 32, 1356, 32, 38860, 32, 3365, 1172, 9401, 619, 3962, 100, 203, 1070, 1561, 32, 21880, 32, 4627, 32, 14496, 7804, 720, 1188, 13662, 720, 203, 1070, 1561, 32, 21880, 32, 4627, 32, 14496, 7804, 3552, 1188, 13662, 3552, 30, 7835, 1761, 203, 823, 4300, 3552, 26, 7804, 3552, 30, 3962, 100, 32, 3552, 1554, 2168, 3121, 483, 13976, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 4124, 711, 291, 13662, 3552, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 4124, 27, 291, 3962, 100, 32, 3552, 1554, 2168, 3121, 483, 13976, 3667, 1664, 3207, 784, 27, 203, 823, 4300, 871, 2168, 6462, 26, 1843, 100, 32, 3552, 2168, 6462, 711, 284, 665, 1156, 1664, 3207, 784, 30, 27557, 711, 291, 630, 1114, 4866, 1489, 280, 27557, 284, 665, 10178, 26, 784, 30, 5102, 30, 16247, 30, 7582, 30, 932, 711, 291, 16247, 32, 885, 16077, 26, 9263, 32, 16077, 26, 784, 1114, 4866, 1489, 490, 291, 16247, 32, 885, 16309, 26, 9263, 32, 33590, 36822, 81, 29789, 27, 291, 16247, 32, 2886, 12955, 4367, 26, 6587, 27, 291, 420, 8427, 30, 354, 8427, 280, 5102, 32, 936, 871, 2168, 7751, 346, 291, 1344, 280, 5102, 32, 936, 871, 2168, 882, 26, 748, 27, 291, 630, 32, 2886, 7251, 26, 3365, 30, 16247, 30, 7582, 27, 291, 630, 32, 2886, 1031, 26, 3365, 30, 16247, 30, 7582, 30, 1344, 30, 420, 8427, 30, 354, 8427, 27, 203, 823, 2398, 1063, 3669, 1074, 26, 9263, 32, 3669, 711, 284, 665, 1156, 1664, 3207, 630, 30, 2935, 8063, 291, 9226, 32, 3669, 3667, 1664, 505, 308, 630, 30, 2935, 30, 804, 280, 9226, 32, 779, 81, 15205, 30, 3400, 280, 9226, 32, 2044, 2731, 30, 1334, 280, 9226, 32, 1250, 26, 225, 43, 41, 36, 30, 39, 40, 43, 2588, 1418, 280, 9226, 32, 18059, 81, 12512, 47768, 829, 291, 323, 43523, 4358, 280, 9226, 32, 1705, 43523, 26, 9226, 32, 34781, 829, 291, 323, 43523, 3155, 280, 9226, 32, 1705, 43523, 26, 9226, 32, 31389, 829, 291, 323, 43523, 3155, 3679, 280, 9226, 32, 1705, 43523, 26, 9226, 32, 34781, 829, 291, 6115, 43523, 1043, 280, 9226, 32, 5972, 1705, 43523, 26, 9226, 32, 5972, 1705, 26, 630, 30, 9226, 32, 779, 81, 15205, 30, 1044, 20, 1547, 3717, 7723, 1924, 2588, 9226, 32, 34781, 829, 291, 11655, 1043, 871, 34887, 280, 1605, 291, 630, 32, 11447, 1043, 871, 280, 9226, 32, 13860, 26, 6115, 43523, 1043, 32, 936, 5972, 1705, 1026, 9226, 32, 779, 81, 15205, 30, 9226, 32, 2044, 2731, 30, 9226, 32, 1250, 26, 225, 35, 40, 34, 5437, 35, 2588, 11655, 1043, 871, 34887, 30, 225, 34, 829, 291, 630, 32, 11447, 1043, 871, 32, 885, 5374, 26, 225, 34, 829, 291, 6115, 43523, 1043, 32, 1103, 26, 630, 32, 11447, 1043, 871, 30, 225, 34, 30, 9226, 32, 2320, 30, 225, 35, 34, 829, 291, 323, 43523, 15689, 280, 9226, 32, 1705, 43523, 26, 9263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 4, 3, 4, 3, 4, 4, 4, 2, 2, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 9, 7, 7, 9, 7, 4, 4, 9, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 7, 10, 9, 10, 9, 11, 10, 11, 11, 9, 4, 4, 7, 8, 8, 7, 9, 8, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 7, 7, 8, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 8, 7, 8, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 8, 8, 6, 7, 7, 7, 7, 7, 8, 8, 9, 10, 10, 10, 7, 7, 8, 8, 9, 10, 10, 7, 7, 8, 8, 10, 11, 10, 10, 11, 11, 11, 10, 11, 11, 11, 10, 7, 8, 8, 9, 10, 10, 10, 10, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 8, 9, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 8, 9, 10, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 8, 8, 9, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 8, 10, 11, 11, 10, 10, 10, 10, 11, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 10, 8, 9, 10, 8, 4, 4, 7, 7, 7, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 8, 11, 11, 10, 11, 11, 11, 10, 8, 9, 10, 10, 10, 8, 8, 9, 10, 10, 8, 8, 10, 11, 10, 10, 11, 11, 11, 10, 12, 10, 8, 9, 9, 9, 8, 8, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 8, 7, 7, 8, 7, 4, 4, 8, 8, 7, 8, 7, 7, 8, 9, 9, 9, 7, 7, 8, 7, 7, 8, 9, 7, 7, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 2, 0, 4, 0, 6, 6, 6, 1, 1, 2, 0, 4, 4, 1, 2, 1, 4, 1, 6, 6, 6, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 6, 6, 5, 5, 0, 5, 5, 0, 0, 6, 6, 1, 2, 1, 1, 2, 2, 0, 3, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 7, 7, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 11, 1, 0, 8, 8, 1, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 5, 5, 2, 2, 2, 2, 1, 1, 7, 7, 2, 2, 2, 1, 1, 9, 9, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 11, 11, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 1, 1, 11, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 3, 1, 1, 5, 2, 1, 1, 7, 7, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 20654, 30, 7976, 81, 465, 203, 465, 2361, 203, 465, 2322, 203, 1070, 2959, 34669, 32, 716, 1188, 2738, 1427, 203, 1070, 2959, 34669, 32, 12162, 1188, 2623, 30, 2698, 203, 1070, 4559, 108, 1188, 909, 1110, 203, 1070, 273, 38200, 1188, 4479, 203, 1070, 2728, 32, 1262, 1188, 16215, 203, 1070, 2728, 32, 713, 34669, 32, 9889, 81, 8231, 1188, 308, 9889, 81, 1274, 81, 3399, 30, 291, 10366, 81, 1274, 81, 1877, 30, 8202, 81, 3399, 30, 8202, 81, 1877, 27, 203, 1070, 2728, 32, 2304, 1188, 1245, 81, 4275, 203, 465, 2728, 32, 713, 34669, 203, 31367, 1392, 81, 4959, 280, 330, 3804, 81, 1644, 25, 203, 10573, 280, 225, 40, 34, 34, 203, 6286, 280, 2728, 32, 713, 34669, 32, 6286, 261, 203, 1427, 280, 2738, 1427, 346, 203, 86, 912, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 8931, 496, 463, 112, 1425, 5608, 86, 912, 683, 203, 2184, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 86, 912, 81, 1515, 30, 5608, 86, 912, 31, 1840, 31, 1707, 32, 1260, 683, 203, 325, 2322, 32, 983, 32, 4658, 26, 2184, 81, 983, 711, 284, 623, 2156, 26, 2184, 81, 983, 30, 330, 100, 683, 619, 296, 44, 291, 2075, 280, 2361, 32, 944, 26, 88, 27, 203, 1824, 44, 284, 2075, 280, 5053, 2035, 950, 330, 35, 36, 41, 32, 34, 32, 34, 32, 35, 370, 3083, 330, 9374, 31, 625, 950, 225, 42, 41, 42, 40, 30, 3083, 330, 525, 31, 625, 950, 225, 43, 41, 42, 40, 111, 203, 13261, 280, 16215, 26, 639, 47, 2184, 710, 2035, 2188, 2601, 47, 2184, 710, 9374, 31, 625, 3490, 203, 9889, 81, 1855, 30, 428, 1835, 30, 1858, 79, 280, 10366, 81, 1274, 81, 3399, 26, 1644, 47, 10573, 27, 203, 589, 10366, 81, 1877, 2262, 284, 623, 1245, 81, 4275, 2262, 291, 1596, 44, 324, 3124, 280, 5218, 710, 17733, 4902, 40506, 785, 6448, 35, 79, 291, 2940, 44121, 44, 324, 442, 291, 10366, 81, 1274, 81, 1877, 26, 9889, 81, 1855, 30, 3124, 27, 203, 1427, 32, 669, 81, 37503, 81, 4383, 26, 9889, 81, 1877, 30, 5218, 710, 17733, 4902, 7568, 3490, 203, 9452, 81, 1855, 30, 8202, 81, 3399, 280, 8202, 81, 3399, 26, 1644, 47, 10573, 30, 2384, 47, 35, 39, 34, 27, 203, 589, 8202, 81, 3399, 81, 1877, 2262, 284, 623, 1245, 81, 4275, 2262, 291, 3124, 280, 5218, 710, 9452, 785, 291, 415, 646, 3124, 710, 96, 7391, 12132, 324, 442, 291, 706, 280, 8202, 81, 1877, 26, 2076, 27, 291, 816, 81, 3585, 280, 8202, 81, 3399, 32, 106, 81, 3585, 291, 1769, 81, 990, 280, 1769, 26, 605, 710, 990, 3490, 291, 1847, 81, 1873, 280, 1847, 26, 605, 710, 1873, 785, 20129, 35, 1130, 291, 28792, 280, 1769, 26, 605, 710, 96, 7391, 3490, 291, 415, 1847, 81, 1873, 333, 816, 81, 3585, 32, 1366, 44, 23688, 816, 81, 3585, 32, 1366, 280, 1847, 81, 1873, 429, 225, 36, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 3, 3, 3, 0, 3, 2, 2, 4, 5, 5, 3, 4, 0, 0, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 7, 6, 8, 8, 4, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 4, 5, 3, 4, 3, 4, 4, 4, 3, 1, 1, 3, 8, 9, 9, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 1, 2, 2, 2, 2, 5, 5, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 8, 8, 6, 6, 6, 9, 9, 9, 9, 7, 8, 8, 8, 8, 6, 0, 3, 2, 2, 4, 6, 5, 7, 6, 8, 8, 4, 5, 7, 6, 8, 8, 8, 8, 0, 4, 4, 4, 3, 3, 5, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 6, 5, 6, 4, 0, 1, 1, 2, 2, 2, 1, 1, 3, 7, 7, 7, 3, 3, 5, 5, 5, 8, 8, 11, 13, 13, 12, 12, 9, 11, 9, 5, 5, 6, 6, 6, 6, 4, 4, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 0, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 5, 7, 7, 6, 6, 0, 4, 4, 4, 3, 3, 4, 4, 2, 2, 4, 4, 4, 6, 5, 6, 4, 4, 5, 6, 6, 6, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 7, 7, 7, 3, 3, 6, 6, 7, 9, 9, 4, 4, 5, 6, 7, 9, 9, 9, 5, 5, 4, 4, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 7, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 10, 9, 11, 11, 4, 4, 7, 7, 6, 6, 8, 11, 10, 12, 12, 9, 12, 9, 4, 4, 6, 6, 8, 10, 9, 11, 11, 11, 4, 4, 5, 7, 7, 6, 6, 8, 8, 7, 8, 5, 5, 5, 10, 10, 9, 10, 8, 8, 10, 10, 9, 9, 10, 5 ]
[ 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, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 2, 1, 4, 4, 4, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 9, 9, 1, 2, 9, 9, 0, 0, 0, 10, 10, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 17, 17, 0, 2, 0, 2, 1, 1, 1, 1, 1, 17, 17, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 17, 4, 4, 4, 4, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 3, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 20, 20, 1, 1, 2, 20, 20, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 0, 23, 23, 1, 1, 1, 1, 2, 23, 23, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 3, 3, 0, 0, 1, 0, 1, 1, 1, 2, 3, 3, 7, 0, 0, 1, 1, 0, 0, 2, 2, 7, 7, 7, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 7 ]
[ 465, 9270, 81, 3615, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 505, 464, 505, 280, 2107, 56, 8115, 370, 330, 890, 81, 88, 10199, 370, 330, 2245, 81, 88, 980, 38850, 370, 2607, 330, 11215, 81, 43831, 81, 761, 785, 203, 465, 2322, 203, 465, 5237, 203, 465, 316, 203, 465, 3738, 203, 1270, 44, 284, 739, 203, 7343, 3270, 924, 44, 284, 645, 6900, 1188, 1756, 619, 739, 203, 1070, 6436, 32, 8524, 1188, 2156, 81, 23423, 35, 203, 1070, 1673, 2304, 32, 3731, 1163, 1188, 622, 81, 2958, 81, 1356, 203, 1070, 1673, 2304, 32, 33041, 81, 30226, 1188, 506, 10360, 936, 2215, 203, 1070, 1673, 2304, 32, 4275, 1188, 9306, 2304, 2459, 924, 30, 766, 275, 9306, 2304, 2650, 924, 30, 23917, 924, 30, 6116, 924, 30, 9306, 2304, 6841, 924, 203, 1070, 1673, 2304, 32, 1040, 1188, 6122, 81, 38565, 30, 596, 452, 2420, 203, 1070, 6436, 32, 2452, 2304, 32, 85, 10199, 1188, 390, 8115, 30, 4479, 81, 1356, 81, 2184, 203, 1070, 6436, 32, 2452, 2304, 1188, 1245, 203, 1070, 6436, 32, 2452, 2304, 32, 14481, 81, 1040, 1188, 438, 81, 800, 30, 1169, 81, 8352, 30, 438, 81, 7508, 30, 766, 284, 1930, 81, 1433, 81, 761, 30, 622, 81, 4190, 81, 1356, 81, 6728, 203, 1070, 6436, 32, 2452, 2304, 32, 9236, 1188, 10572, 1063, 203, 1070, 6436, 32, 2452, 2304, 32, 2493, 81, 2501, 1188, 2290, 81, 21823, 203, 1070, 6436, 32, 2452, 2304, 32, 8524, 1188, 622, 81, 3893, 203, 505, 2559, 32095, 505, 280, 827, 203, 823, 20209, 5965, 26, 984, 711, 284, 3097, 203, 589, 4655, 668, 26, 101, 711, 284, 415, 438, 81, 800, 26, 101, 711, 291, 442, 6122, 81, 38565, 26, 101, 27, 284, 813, 44, 291, 442, 309, 203, 589, 596, 36, 2420, 26, 101, 711, 284, 415, 438, 81, 800, 26, 101, 711, 291, 442, 596, 452, 2420, 26, 101, 27, 284, 442, 1560, 26, 101, 27, 203, 589, 438, 81, 7508, 81, 1028, 81, 8352, 26, 4948, 711, 284, 442, 438, 81, 7508, 26, 4948, 27, 461, 1169, 81, 8352, 26, 4948, 27, 203, 823, 506, 8115, 26, 53, 8115, 711, 284, 1673, 2304, 81, 6862, 280, 10572, 1063, 26, 291, 1673, 2304, 81, 1906, 1057, 1163, 81, 3499, 370, 291, 310, 604, 385, 280, 308, 2521, 30, 1665, 30, 330, 96, 604, 385, 370, 596, 36, 2420, 471, 291, 1289, 1004, 280, 308, 2521, 30, 1665, 30, 330, 1347, 1004, 370, 596, 36, 2420, 471, 291, 4588, 280, 308, 2521, 30, 1665, 30, 330, 2811, 370, 596, 36, 2420, 471, 291, 9541, 280, 308, 2521, 30, 1665, 30, 330, 10529, 370, 596, 36, 2420, 471, 284, 829, 284, 2016, 81, 6862, 280, 10572, 1063, 26, 291, 1673, 2304, 81, 1906, 1057, 1163, 81, 3499, 370, 291, 8980, 81, 88, 41, 41, 280, 2726, 8022, 32, 10199, 81, 88, 41, 41, 370, 330, 56, 41, 41, 370, 330, 88, 41, 41, 2493, 370, 1665, 471, 291, 8980, 81, 88, 43, 34, 280, 2726, 8022, 32, 10199, 81, 88, 43, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 4, 4, 4, 5, 5, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 6, 5, 3, 3, 5, 7, 7, 7, 8, 7, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 6, 5, 3, 3, 5, 7, 7, 7, 8, 7, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 6, 6, 7, 6, 4, 4, 6, 6, 6, 7, 6, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 6, 6, 8, 8, 7, 7, 9, 8, 8, 8, 8, 10, 10, 10, 10, 8, 9, 9, 8, 6, 6, 8, 7, 7, 9, 8, 8, 8, 8, 10, 10, 10, 8, 9, 9, 8, 6, 6, 7, 7, 9, 8, 8, 8, 8, 10, 10, 8, 9, 9, 8, 6, 6, 7, 7, 9, 8, 8, 8, 8, 10, 10, 8, 9, 9, 8, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 8, 8, 6, 6, 8, 8, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 6, 3, 3, 1, 3, 3, 3, 0, 0, 0, 3, 3, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 8, 8, 0, 1, 2, 2, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 2, 2, 9, 9, 0, 0, 0, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 10, 10, 5, 10, 0, 0, 0, 10, 10, 0, 10, 10, 0, 10, 10, 0, 0, 0, 0, 11, 11, 0, 1, 2, 11, 11, 0, 0, 11, 11, 0, 0, 0, 12, 12, 1, 2, 2, 1, 4, 4, 12, 12, 0, 12, 12, 0, 0, 0, 0, 0, 13, 13, 1, 2, 2, 13, 13, 0, 14, 14, 1, 2, 2, 1, 4, 4, 4, 14, 14, 0, 0, 14, 14, 0, 0, 14, 14, 0, 0, 14, 14, 9, 14, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 0, 0, 15, 15, 1, 2, 2, 1, 4, 15, 15, 0, 0, 16, 16, 1, 2, 2, 1, 4, 4, 4, 16, 16, 0, 0, 0, 17, 17, 1, 2, 2, 1, 4, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 19, 1, 2, 1, 2, 19, 19, 0, 20, 20, 1, 2, 1, 2, 20, 20, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 21, 21, 1, 1, 2, 1, 2, 21, 21, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 22, 22, 1, 1, 1, 1, 1, 1, 2, 1, 2, 22, 22, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 23, 23, 1, 2, 1, 1, 2, 23, 23, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 3, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 7, 7, 2, 1, 1, 0, 5, 5, 1, 2, 2, 2, 2, 1, 1, 2, 2, 7, 7, 2, 1, 1, 7, 7, 1, 2, 2, 2, 2, 1, 2, 2, 7, 7, 2, 1, 1, 9, 9, 1, 2, 2, 2, 2, 1, 2, 2, 7, 7, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 11685, 203, 465, 4134, 203, 465, 5237, 203, 465, 1133, 203, 465, 6436, 619, 2065, 203, 1070, 18414, 1188, 456, 19218, 203, 1070, 638, 957, 48868, 81, 331, 17965, 81, 1188, 308, 957, 48868, 81, 331, 17965, 30, 30445, 48868, 2235, 17965, 30, 1891, 1245, 81, 38447, 27, 203, 1070, 4377, 11452, 1188, 1336, 424, 27976, 5711, 203, 1070, 4377, 2304, 32, 6460, 1188, 1505, 81, 3855, 81, 1293, 30, 1505, 81, 955, 203, 1070, 4377, 2304, 1188, 12687, 203, 1070, 4377, 8362, 81, 1160, 1188, 456, 4177, 81, 983, 203, 1070, 4377, 8362, 81, 1160, 1188, 9098, 81, 6579, 203, 1070, 4377, 1160, 81, 8319, 1188, 1505, 81, 4126, 30, 8184, 81, 695, 81, 5020, 203, 1070, 4377, 6173, 101, 32, 3245, 1356, 1188, 29843, 30, 34579, 203, 465, 13625, 203, 589, 617, 29904, 26, 95, 274, 30, 12485, 3739, 7377, 711, 284, 298, 280, 12485, 3133, 3229, 77, 34, 79, 284, 7847, 280, 429, 225, 36, 32, 319, 1245, 81, 38447, 26, 95, 274, 30, 12485, 7912, 474, 298, 319, 2065, 32, 751, 26, 36, 319, 2065, 32, 1295, 27, 284, 7847, 1454, 7377, 319, 308, 2356, 32, 3596, 26, 15144, 81, 547, 1036, 346, 3486, 429, 2065, 32, 3596, 26, 2356, 32, 13006, 26, 15144, 81, 3427, 1036, 1157, 284, 442, 7847, 203, 589, 617, 32091, 81, 13906, 26, 957, 81, 12626, 30, 12485, 3739, 7377, 711, 284, 15948, 280, 2065, 32, 1036, 26, 957, 81, 12626, 319, 12485, 7912, 284, 15948, 5912, 12485, 3133, 3229, 77, 34, 79, 284, 15948, 1454, 7377, 319, 308, 2356, 32, 3596, 26, 15144, 81, 547, 1036, 346, 528, 429, 2065, 32, 3596, 26, 2356, 32, 13006, 26, 15144, 81, 3427, 1036, 1157, 284, 442, 15948, 203, 589, 7377, 81, 1449, 26, 957, 81, 12626, 711, 284, 399, 280, 2065, 32, 2991, 26, 957, 81, 12626, 27, 284, 399, 32, 6849, 77, 403, 51, 32, 3229, 77, 34, 79, 474, 225, 35, 79, 280, 225, 34, 284, 442, 2065, 32, 1449, 26, 2356, 32, 3596, 26, 51, 490, 203, 589, 3996, 81, 386, 97, 26, 957, 81, 12626, 30, 7377, 30, 28902, 81, 1664, 47, 2521, 30, 2926, 1057, 2087, 370, 26907, 47, 35, 87, 31, 38, 30, 400, 931, 364, 81, 14598, 47, 35, 87, 31, 38, 30, 1769, 81, 1731, 47, 35, 34, 34, 30, 9541, 47, 2700, 30, 400, 442, 81, 40905, 47, 2700, 30, 15376, 47, 2356, 32, 88, 1338, 26, 2356, 32, 1808, 40, 38, 547, 17685, 30, 400, 442, 81, 96, 81, 1731, 47, 2700, 711, 284, 4950, 310, 81, 5905, 280, 12480, 81, 12626, 32, 3229, 284, 415, 7377, 610, 225, 34, 44, 291, 415, 442, 81, 40905, 44, 324, 12485, 81, 280, 456, 19218, 32, 5817, 26, 957, 81, 12626, 27, 324, 7847, 280, 429, 225, 36, 32, 319, 1245, 81, 38447, 26, 957, 81, 12626, 30, 12485, 7912, 324, 7847, 1454, 310, 81, 5905, 319, 2065, 32, 751, 26, 36, 319, 2065, 32, 1295, 27, 324, 343, 81, 13906, 280, 2065, 32, 1036, 26, 957, 81, 12626, 319, 12485, 7912, 429, 310, 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, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 3, 4, 4, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 2, 2, 1, 1, 4, 4, 7, 7, 5, 6, 5, 2, 2, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 9, 9, 8, 8, 9, 5, 5, 6, 6, 8, 9, 8, 10, 9, 9, 10, 11, 8, 2, 2, 4, 4, 5, 5, 12, 11, 12, 11, 12, 12, 11, 10, 9, 7, 7, 7, 11, 12, 11, 14, 13, 14, 13, 14, 14, 13, 10, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 7, 8, 2, 2, 4, 4, 7, 7, 5, 6, 5, 2, 2, 4, 4, 5, 5, 12, 11, 12, 11, 12, 12, 11, 10, 9, 7, 7, 7, 11, 12, 11, 14, 13, 14, 13, 14, 14, 13, 10, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 6, 7, 5, 6, 10, 9, 10, 8, 9, 8, 7, 7, 8, 5, 4, 4, 5, 2, 2, 3, 5, 6, 5, 8, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 4, 4, 3, 4, 2, 2, 3, 5, 5, 2, 3, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 2, 2, 4, 4, 3, 4, 4, 4, 2, 2, 3, 4, 2, 2, 2, 4, 4, 3, 4, 2, 2, 3, 7, 6, 7, 7, 6, 8, 7, 8, 8, 8, 6, 5, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 1, 1, 5, 6, 6, 4, 4, 6, 6, 5, 6, 2, 2, 3, 4, 4, 5, 3, 3, 3, 5, 6, 6, 5, 5, 5, 9, 8, 8, 11, 10, 11, 10, 11, 11, 11, 10, 6, 6, 8, 8, 10, 11, 11, 9, 9, 11, 11, 11, 12, 12, 12, 11, 11, 12, 6, 6, 8, 8, 10, 10, 9, 9, 11, 12, 11, 13, 12, 12, 13, 14, 11, 6, 6, 9, 9, 8, 8, 11, 12, 11, 13, 13, 13, 12, 12, 13, 9, 9, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 0, 5, 5, 5, 5, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 9, 9, 0, 9, 9, 0, 10, 10, 0, 0, 0, 10, 10, 0, 0, 0, 0, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 12, 12, 0, 0, 0, 12, 12, 0, 0, 12, 12, 0, 0, 0, 0, 0, 13, 13, 0, 0, 1, 2, 2, 13, 13, 13, 13, 0, 14, 14, 0, 15, 15, 1, 2, 1, 1, 2, 2, 3, 2, 2, 15, 15, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 4, 4, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 3, 0, 16, 16, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 16, 16, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 3, 0, 17, 17, 1, 1, 2, 1, 1, 1, 2, 17, 17, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 4, 4, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 18, 18, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 7, 1, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 11, 2, 2, 2, 2, 2, 2, 0, 0, 13, 2, 2, 2, 2, 2, 15, 2, 2, 2, 2, 0, 0, 17, 2, 2, 2, 19, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 21, 2, 2, 18, 18, 0, 2, 2, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2 ]
[ 465, 2322, 203, 465, 15798, 203, 1070, 3619, 89, 730, 32, 3435, 32, 11250, 32, 100, 2937, 1188, 31292, 2028, 203, 858, 81, 605, 81, 1515, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 31001, 370, 31001, 370, 330, 605, 370, 330, 3435, 2847, 203, 823, 559, 2937, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 25682, 81, 35, 40, 81, 35, 35, 34, 36, 39, 81, 35, 380, 26, 784, 711, 291, 803, 81, 426, 280, 2322, 32, 983, 32, 2524, 26, 858, 81, 605, 81, 1515, 30, 330, 4792, 81, 25682, 81, 35, 40, 81, 35, 35, 34, 36, 39, 81, 35, 380, 32, 18448, 683, 291, 1914, 280, 31292, 2028, 26, 761, 81, 426, 27, 291, 630, 1114, 1553, 81, 7365, 81, 1643, 26, 1855, 30, 225, 35, 30, 225, 35, 40, 30, 225, 35, 35, 34, 36, 39, 27, 291, 630, 1114, 1553, 81, 605, 26, 1855, 30, 225, 35, 35, 39, 42, 38, 30, 225, 34, 32, 39, 36, 39, 27, 284, 665, 894, 81, 25682, 81, 35, 40, 81, 36, 36, 34, 39, 34, 81, 35, 380, 26, 784, 711, 291, 803, 81, 426, 280, 2322, 32, 983, 32, 2524, 26, 858, 81, 605, 81, 1515, 30, 330, 4792, 81, 25682, 81, 35, 40, 81, 36, 36, 34, 39, 34, 81, 35, 380, 32, 18448, 683, 291, 1914, 280, 31292, 2028, 26, 761, 81, 426, 27, 291, 630, 1114, 1553, 81, 7365, 81, 1643, 26, 1855, 30, 225, 35, 30, 225, 35, 40, 30, 225, 36, 36, 34, 39, 34, 27, 291, 630, 1114, 1553, 81, 605, 26, 1855, 30, 225, 36, 37, 35, 40, 40, 30, 225, 34, 32, 39, 36, 39, 27, 284, 665, 894, 81, 25682, 81, 42, 81, 36, 36, 34, 39, 34, 81, 35, 380, 26, 784, 711, 291, 803, 81, 426, 280, 2322, 32, 983, 32, 2524, 26, 858, 81, 605, 81, 1515, 30, 330, 4792, 81, 25682, 81, 42, 81, 36, 36, 34, 39, 34, 81, 35, 380, 32, 18448, 683, 291, 1914, 280, 31292, 2028, 26, 761, 81, 426, 27, 291, 630, 1114, 1553, 81, 7365, 81, 1643, 26, 1855, 30, 225, 35, 30, 225, 42, 30, 225, 36, 36, 34, 39, 34, 27, 291, 630, 1114, 1553, 81, 605, 26, 1855, 30, 225, 35, 35, 39, 42, 37, 30, 225, 34, 32, 39, 36, 39, 27, 284, 665, 894, 81, 14408, 26, 784, 711, 291, 803, 81, 426, 280, 2322, 32, 983, 32, 2524, 26, 858, 81, 605, 81, 1515, 30, 330, 4792, 81, 25682, 81, 35, 40, 81, 36, 36, 34, 39, 34, 81, 35, 380, 32, 18448, 683, 291, 1914, 280, 31292, 2028, 26, 761, 81, 426, 27, 291, 22848, 81, 1003, 280, 225, 34, 32, 37, 291, 22848, 81, 3651, 280, 22848, 81, 1003, 319, 1914, 32, 7365, 81, 1643, 32, 3651, 81, 462, 81, 3090, 291, 1914, 32, 14408, 26, 14408, 81, 1003, 27, 291, 630, 1114, 1553, 81, 605, 26, 1855, 30, 225, 36, 37, 35, 40 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 2, 3, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 6, 8, 6, 8, 6, 8, 8, 6, 8, 8, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 7, 7, 7, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 1, 6, 6, 2, 2, 0, 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, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 7, 7, 7, 7, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 5, 5, 5, 5, 5, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 7, 7, 7, 7, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 5, 5, 5, 5, 5, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 7, 7, 7, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 5, 5, 5, 5, 5, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ 1070, 26674, 1188, 319, 203, 465, 7744, 203, 465, 5237, 203, 465, 2322, 203, 1647, 81, 1515, 280, 6640, 9856, 81, 3197, 18505, 203, 325, 2297, 81, 1515, 77, 34, 79, 610, 3770, 950, 203, 202, 1647, 81, 1515, 280, 2322, 32, 33115, 1404, 203, 3731, 32, 983, 32, 3215, 308, 34, 30, 2297, 81, 1515, 27, 203, 74, 3655, 69, 280, 225, 37, 39, 294, 203, 13794, 69, 280, 225, 38, 40, 294, 203, 2215, 280, 428, 35, 30, 225, 36, 30, 225, 37, 30, 225, 37, 79, 203, 3825, 280, 428, 40, 34, 32, 34, 30, 225, 36, 34, 32, 34, 30, 225, 40, 34, 32, 34, 30, 225, 40, 34, 32, 34, 79, 203, 1373, 280, 428, 37, 34, 32, 34, 30, 225, 40, 34, 32, 34, 30, 225, 35, 36, 34, 32, 34, 30, 225, 35, 40, 34, 32, 34, 79, 203, 1311, 280, 3037, 21, 2173, 2743, 3399, 5938, 225, 42, 429, 33634, 47, 40, 34, 30, 22625, 47, 37, 34, 30, 13814, 47, 35, 392, 357, 5100, 2173, 2743, 3399, 5938, 225, 42, 429, 33634, 47, 36, 34, 30, 22625, 47, 40, 34, 30, 13814, 47, 36, 392, 357, 5100, 2173, 2743, 3399, 5938, 225, 42, 429, 33634, 47, 40, 34, 30, 22625, 47, 35, 36, 34, 30, 13814, 47, 37, 392, 357, 5100, 2173, 2743, 3399, 5938, 225, 42, 429, 33634, 47, 40, 34, 30, 22625, 47, 35, 40, 34, 30, 13814, 47, 37, 1446, 203, 589, 2575, 26, 105, 711, 284, 816, 280, 22483, 26, 1593, 3655, 69, 30, 330, 86, 25, 1093, 533, 280, 22483, 26, 1410, 3655, 69, 30, 330, 86, 25, 829, 284, 1288, 280, 44490, 26, 22483, 26, 1593, 3655, 69, 28, 13794, 69, 30, 330, 86, 25, 2588, 308, 74, 3655, 69, 30, 1410, 3655, 69, 27, 829, 284, 436, 595, 328, 2155, 26, 74, 3655, 69, 711, 203, 202, 106, 77, 91, 79, 280, 1897, 26, 91, 429, 308, 74, 3655, 69, 517, 225, 36, 490, 517, 1897, 26, 74, 3655, 69, 517, 225, 36, 27, 284, 436, 595, 328, 2155, 26, 13794, 69, 711, 203, 202, 107, 77, 91, 79, 280, 1897, 26, 91, 429, 308, 13794, 69, 517, 225, 36, 490, 517, 1897, 26, 13794, 69, 517, 225, 36, 27, 284, 436, 595, 328, 2155, 26, 74, 3655, 69, 711, 203, 202, 2369, 280, 816, 77, 91, 79, 203, 202, 979, 594, 328, 2155, 26, 13794, 69, 711, 3269, 9580, 280, 533, 77, 92, 79, 3269, 540, 280, 7744, 32, 8663, 26, 2369, 319, 23634, 474, 9580, 319, 9580, 27, 3269, 1288, 77, 91, 30, 92, 79, 280, 7744, 32, 2832, 3736, 100, 319, 540, 27, 319, 7744, 32, 4952, 26, 36, 32, 34, 319, 7744, 32, 1295, 319, 540, 27, 284, 436, 831, 328, 2155, 26, 38, 711, 203, 202, 105, 32, 557, 11184, 26, 34, 27, 203, 202, 105, 32, 557, 104, 5981, 26, 34, 32, 34, 30, 225, 35, 32, 34, 30, 225, 34, 32, 34, 30, 225, 34, 32, 43, 27, 203, 202, 105, 32, 557, 12094, 3736, 35, 32, 34, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 4, 4, 3, 4, 3, 2, 2, 4, 1, 1, 5, 5, 5, 4, 4, 6, 7, 5, 0, 5, 4, 5, 3, 4, 2, 4, 3, 3, 4, 4, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 2, 2, 3, 3, 0, 0, 3, 2, 2, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 0, 3, 2, 2, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 0, 3, 2, 2, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 6, 7, 7, 6, 6, 8, 8, 6, 2, 4, 4, 6, 6, 7, 7, 6, 6, 8, 8, 6, 2, 2, 4, 4, 6, 6, 8, 8, 10, 10, 9, 10, 10, 8, 8, 10, 10, 8, 6, 8, 8, 8, 7, 7, 8, 8, 7, 6, 2, 2, 3, 3, 3, 5, 6, 6, 6, 5, 3, 3, 8, 7, 8, 7, 6, 6, 9, 11, 10, 10, 13, 13, 13, 12, 12, 13, 11, 7, 7, 9, 11, 11, 11, 10, 10, 11, 9, 2, 2, 3, 3, 3, 5, 6, 6, 5, 3, 3, 8, 7, 8, 7, 6, 6, 9, 11, 10, 10, 13, 13, 12, 12, 13, 11, 7, 7, 9, 11, 11, 10, 10, 11, 9, 2, 2, 3, 3, 3, 5, 6, 6, 6, 5, 3, 3, 7, 6, 6, 7, 8, 7, 4, 4, 5, 5, 5, 5, 7, 8, 8, 7, 5, 5, 8, 8, 9, 10, 9, 6, 6, 8, 8, 10, 11, 10, 13, 12, 12, 11, 11, 12, 12, 10, 6, 6, 9, 10, 9, 10, 9, 8, 8, 11, 12, 11, 14, 12, 12, 11, 9, 9, 11, 12, 11, 14, 14, 14, 13, 13, 14, 15, 12, 12, 11, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 8, 7, 8, 8, 7, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 8, 7, 9, 9, 9, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 5, 5, 0, 0, 0, 2, 0, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 7, 7, 7, 7, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 2, 2, 7, 7, 7, 7, 7, 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, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 13, 13, 2, 1, 2, 13, 13, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 4, 4, 5, 5, 5, 1, 1, 1, 1, 5, 5, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 4, 4, 6, 6, 6, 1, 1, 1, 1, 1, 6, 6, 0, 0, 0, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 5, 5, 0, 2, 0, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 7, 7, 7, 1, 1, 1, 7, 7, 0, 0, 2, 2, 1, 1, 1, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 5, 5, 0, 0, 2, 2, 1, 1, 1, 1, 1 ]
[ 1070, 516, 2302, 24378, 6218, 32, 12283, 32, 15968, 1188, 34853, 203, 1070, 516, 2302, 24378, 6218, 32, 12283, 32, 64, 7580, 32, 26234, 7256, 1188, 36382, 7256, 203, 1070, 516, 2302, 24378, 6218, 32, 10497, 32, 1222, 3012, 1188, 7049, 3012, 203, 1070, 516, 2302, 24378, 6218, 32, 10497, 32, 1240, 1188, 2680, 203, 1070, 516, 2302, 24378, 6218, 32, 1063, 32, 1063, 1188, 3383, 203, 1070, 516, 2302, 24378, 6218, 32, 12283, 32, 3703, 1188, 2032, 3703, 203, 823, 2244, 12884, 5504, 26, 1473, 711, 284, 1156, 2559, 32095, 505, 280, 34853, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 3667, 4913, 5658, 18079, 28658, 280, 3383, 922, 936, 4709, 440, 8386, 32, 5504, 17412, 392, 313, 4913, 11994, 10326, 10470, 3015, 5658, 18079, 657, 4456, 630, 3667, 4913, 5125, 18079, 28658, 280, 3383, 922, 936, 4709, 440, 8386, 32, 5504, 17412, 392, 313, 4913, 11994, 10326, 10470, 3015, 5125, 18079, 657, 4456, 630, 3667, 4913, 6495, 1112, 4495, 10470, 3015, 280, 3383, 922, 936, 4709, 440, 8386, 32, 5504, 17412, 392, 313, 4913, 6495, 1112, 4495, 10470, 3015, 657, 3701, 665, 6833, 26, 784, 30, 18475, 3080, 711, 291, 2032, 3703, 922, 1120, 440, 42332, 5504, 30, 6833, 346, 657, 291, 15430, 720, 280, 2149, 291, 3594, 3012, 720, 280, 1605, 291, 1256, 280, 2680, 922, 3013, 959, 346, 291, 436, 3594, 328, 18475, 3080, 32, 5095, 720, 44, 324, 415, 26, 1657, 26, 1112, 32, 16377, 23522, 720, 27, 848, 225, 34, 711, 400, 3594, 720, 280, 5335, 109, 34, 8129, 2296, 1643, 440, 370, 330, 2296, 2524, 26, 1112, 32, 16377, 23522, 720, 490, 400, 15430, 720, 280, 36382, 7256, 922, 936, 10470, 3015, 1083, 13099, 26, 18107, 720, 30, 3594, 720, 30, 3594, 32, 29814, 5095, 30, 3594, 32, 5971, 30, 2933, 30, 308, 496, 32, 4191, 556, 1256, 32, 39465, 490, 324, 15430, 720, 280, 36382, 7256, 922, 936, 10470, 3015, 1083, 13099, 26, 18107, 720, 30, 5335, 109, 34, 8129, 2296, 1643, 26, 1112, 32, 29814, 5095, 471, 3594, 32, 29814, 5095, 30, 3594, 32, 5971, 30, 3177, 30, 308, 496, 32, 4191, 556, 1256, 32, 39465, 490, 324, 3594, 3012, 720, 1454, 1149, 26, 470, 26, 1112, 32, 3012, 720, 27, 429, 739, 26, 1112, 3012, 720, 490, 291, 15430, 720, 280, 36382, 7256, 922, 936, 10470, 3015, 1083, 3012, 26, 18107, 720, 30, 3594, 3012, 720, 30, 18475, 3080, 32, 5971, 30, 308, 496, 32, 4191, 556, 1256, 32, 39465, 490, 291, 1619, 3012, 280, 7049, 3012, 922, 3013, 959, 26, 36, 38, 34, 27, 291, 1619, 3012, 32, 2333, 3012, 440, 5095, 681, 392, 3594, 3012, 720, 27, 291, 1619, 3012, 32, 5126, 959, 346, 291, 415, 630, 3667, 4913, 6495, 1112, 4495, 10470, 3015, 44, 324, 15430, 720, 280, 36382, 7256, 922, 4913, 6495, 1112, 4495, 10470, 3015, 26, 18107, 720, 27, 291, 415, 1619, 3012, 32, 16747, 558, 438, 646, 1665, 44, 324, 15430, 720, 280, 36382, 7256, 922, 936, 26234, 1083, 16747, 26, 18107, 720, 30, 1619, 3012, 32, 16747, 558, 30, 18475, 3080, 32, 5971, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 10, 9, 9, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 6, 6, 10, 9, 9, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 10, 9, 9, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 9, 9, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 6, 6, 10, 9, 9, 8, 4, 4, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 8, 11, 11, 13, 12, 13, 13, 13, 11, 9, 9, 10, 8, 7, 7, 11, 10, 10, 14, 14, 14, 14, 13, 12, 16, 16, 16, 15, 14, 16, 15, 16, 16, 16, 14, 8, 8, 11, 10, 10, 14, 14, 13, 13, 13, 13, 13, 12, 13, 13, 12, 12, 13, 12, 12, 13, 14, 14, 12, 12, 13, 14, 12, 12, 12, 12, 16, 15, 16, 14, 14, 15, 16, 13, 6, 6, 9, 8, 8, 12, 12, 11, 11, 11, 11, 11, 10, 11, 11, 10, 10, 14, 14, 14, 14, 13, 12, 14, 13, 14, 14, 12, 10, 11, 12, 12, 10, 10, 11, 12, 10, 10, 10, 10, 14, 13, 14, 12, 12, 13, 14, 11, 6, 6, 9, 9, 8, 8, 10, 13, 13, 15, 14, 15, 15, 13, 11, 11, 13, 14, 14, 14, 13, 4, 4, 7, 6, 6, 10, 10, 9, 9, 9, 9, 9, 8, 9, 9, 8, 8, 9, 9, 8, 8, 10, 9, 10, 8, 8, 12, 11, 12, 10, 10, 11, 12, 9, 4, 4, 7, 6, 6, 10, 10, 9, 9, 8, 9, 9, 9, 8, 4, 4, 8, 7, 8, 8, 7, 9, 9, 9, 7, 8, 8, 7, 4, 4, 8, 7, 8, 8, 7, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 5, 5, 5, 9, 8, 8, 12, 12, 11, 11, 11, 11, 11, 11, 10, 11, 11, 10, 4, 4, 5, 8, 7, 8, 8, 6, 6, 6, 5, 5, 5, 9, 8, 8, 12, 12, 11, 11, 11, 11, 10, 11, 11, 10, 10, 12, 11, 12, 12, 10, 10, 12, 11, 12, 10 ]
[ 0, 0, 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 4, 4, 1, 6, 6, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 3, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 2, 2, 1, 1, 7, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 11, 5, 5, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 5, 2, 2, 1, 1, 7, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 11, 5, 5, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 5, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 7, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 0, 2, 2, 1, 4, 4, 9, 1, 2, 2, 2, 2, 2, 2, 9, 9, 9, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 10, 0, 0, 2, 2, 1, 1, 1, 10, 10, 10, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 3, 2, 2, 1, 1, 0, 5, 2, 1 ]
[ 465, 2322, 203, 465, 26313, 203, 465, 16539, 203, 465, 5237, 203, 465, 1133, 203, 465, 7060, 203, 465, 787, 1909, 203, 1270, 44, 284, 645, 5523, 1188, 14323, 30, 14893, 261, 203, 7343, 29986, 44, 284, 645, 14323, 1188, 14323, 30, 14893, 261, 203, 1070, 638, 15697, 1439, 1188, 34744, 1761, 30, 19430, 37, 203, 1070, 638, 11452, 1188, 21008, 203, 1070, 638, 2304, 1188, 802, 81, 2516, 203, 823, 447, 1676, 16365, 26, 16365, 1761, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4774, 30, 5868, 47, 37, 34, 30, 1769, 850, 47, 36, 34, 34, 34, 30, 3233, 3518, 891, 47, 2521, 30, 353, 47149, 47, 2521, 30, 24390, 47, 2521, 30, 4533, 47, 2521, 30, 7328, 47, 2521, 30, 353, 22256, 81, 4275, 1057, 5848, 370, 1406, 2493, 81, 3359, 47, 2521, 711, 291, 2599, 26, 45606, 16365, 30, 630, 14585, 1664, 3207, 5457, 47, 5457, 30, 1769, 850, 47, 1449, 850, 30, 400, 3233, 3518, 891, 47, 1903, 3518, 891, 30, 47149, 47, 38364, 30, 400, 7328, 47, 8644, 30, 22256, 81, 4275, 47, 12782, 81, 4275, 27, 291, 415, 7328, 438, 1665, 44, 324, 630, 32, 2446, 487, 280, 2322, 32, 928, 12595, 32, 4434, 2884, 14510, 657, 291, 813, 44, 324, 630, 32, 2446, 487, 280, 630, 32, 800, 81, 681, 308, 500, 32, 928, 12595, 27, 291, 10306, 280, 5436, 26, 1954, 891, 47, 34, 30, 24621, 47, 27958, 32, 18165, 30, 2855, 16154, 47, 27958, 32, 39790, 30, 12532, 47, 27958, 32, 18165, 30, 2855, 24390, 47, 15598, 30, 1406, 2493, 81, 3359, 47, 1001, 2493, 81, 3359, 30, 4533, 47, 2121, 27, 291, 415, 5237, 32, 5134, 610, 330, 4463, 37, 36, 950, 324, 16359, 1338, 280, 16539, 32, 7383, 2418, 1589, 346, 324, 16359, 1338, 32, 7955, 4629, 6592, 16539, 32, 7383, 56, 81, 4855, 19415, 18362, 324, 10306, 710, 19653, 1338, 785, 280, 16359, 1338, 324, 10306, 710, 16777, 4545, 785, 280, 16539, 32, 6037, 81, 11356, 81, 17222, 81, 9779, 291, 415, 6937, 26, 3515, 30, 802, 81, 2516, 27, 461, 5237, 32, 5134, 863, 330, 4463, 37, 36, 950, 324, 4774, 280, 787, 1909, 32, 2998, 26, 3515, 30, 45301, 47, 500, 32, 426, 610, 330, 28950, 683, 291, 630, 32, 6789, 280, 16539, 32, 45606, 26, 3515, 30, 1115, 5321, 27, 291, 630, 32, 6320, 280, 630, 32, 6789, 32, 6320, 291, 630, 32, 10687, 280, 3177, 291, 630, 1114, 1954, 280, 630, 32, 800, 81, 681, 346, 291, 630, 1114, 850, 81, 3926, 280, 14323, 346, 291, 630, 1114, 850, 81, 3426, 280, 26313, 32, 3021, 26, 1977, 47, 784, 1114, 850, 81, 26998, 27, 291, 630, 1114, 850, 81, 3426, 32, 470, 26376, 26, 1815, 27, 291, 630, 1114, 850, 81, 3426, 32, 1366, 346, 284, 617, 850, 81, 268, 6066, 81, 24073, 280, 3177, 284, 665, 1491, 81, 3780, 22821, 26, 784, 30, 1334, 30, 5868, 711, 291, 4845, 280, 630, 1114, 1954, 291, 415, 630, 1114, 850, 81, 268, 6066, 81, 24073, 44, 324, 415, 4845, 44, 400, 630, 1114, 1954, 280, 4845 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 0, 0, 1, 1, 4, 4, 1, 1, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 6, 4, 4, 6, 5, 6, 6, 6, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 7, 7, 4, 6, 6, 6, 5, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 8, 9, 7, 7, 9, 8, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 10, 8, 8, 11, 12, 12, 10, 11, 9, 12, 12, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 11, 12, 12, 12, 10, 13, 12, 13, 13, 11, 4, 4, 6, 6, 8, 10, 10, 9, 10, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 11, 10, 11, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 10, 8, 8, 10, 10, 10, 9, 10, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 5, 7, 8, 6, 6, 8, 8, 8, 8, 5, 5, 9, 8, 8, 10, 11, 11, 11, 10, 6, 6, 10, 9, 10, 10, 8, 8, 9, 10, 10, 10, 10, 10, 10, 6, 6, 9, 11, 11, 11, 8, 8, 9, 6, 6, 9, 11, 11, 11, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 8, 9, 9, 8, 6, 6, 8, 9, 7, 7, 9, 9, 9, 9, 5, 5, 8, 8, 11, 10, 11, 10, 11, 10, 10, 11, 14, 13, 14, 12, 12, 14, 14, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 8, 8, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 9, 11, 10, 11, 11, 11, 8, 4, 4, 8, 9, 9, 9, 7, 8, 8, 7, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 7, 8, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 11, 12, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 0, 9, 9, 0, 10, 10, 0, 10, 10, 0, 0, 0, 11, 11, 1, 1, 2, 1, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 7, 2, 2, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 2, 15, 2, 2, 2, 17, 2, 2, 2, 2, 0, 0, 19, 1, 2, 2, 0, 0, 0, 21, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 3, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 1, 0, 0, 11, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 4, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 4, 4, 0, 0, 1, 0, 0, 1, 2, 1, 1, 3, 0, 2, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 7, 0, 2, 2, 1, 1, 1, 9, 2, 1, 1, 0, 0, 0, 11, 2, 2, 2, 2, 1, 1, 13, 2, 1, 4, 4, 3, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 1, 1, 2, 0, 0, 2, 3, 3, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0 ]
[ 1070, 4774, 1356, 32, 858, 3592, 32, 1040, 1188, 7841, 2459, 203, 589, 7841, 2755, 26, 1647, 81, 8491, 81, 858, 711, 334, 442, 7841, 2459, 26, 1647, 81, 8491, 81, 858, 30, 313, 2304, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 5, 5, 6, 6, 6, 6, 6, 5, 5, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 2, 1, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 505, 1648, 505, 280, 8493, 606, 44, 225, 38, 86, 35, 84, 35, 4532, 36, 88, 38, 36, 36162, 39, 38, 36, 41, 36, 36, 36, 38, 34, 85, 43, 40, 35, 42, 1152, 41, 36, 84, 38, 88, 35, 30582, 84, 398, 25, 203, 465, 2322, 203, 465, 3619, 4746, 930, 366, 203, 1070, 3312, 1188, 617, 2242, 81, 1515, 203, 1070, 3312, 32, 17753, 101, 1188, 15798, 30, 19205, 203, 823, 2108, 7845, 26, 7233, 711, 284, 2866, 280, 2933, 284, 13872, 280, 330, 12393, 25, 284, 1340, 280, 330, 858, 25, 284, 665, 894, 81, 1645, 26, 784, 711, 291, 1938, 280, 3619, 4746, 930, 366, 32, 974, 1969, 26, 784, 32, 2851, 30, 330, 1456, 81, 37468, 31, 9734, 84, 32, 1645, 683, 291, 2196, 81, 3607, 280, 2322, 32, 983, 32, 2524, 2176, 2242, 81, 1515, 30, 330, 1456, 81, 37468, 32, 1645, 683, 291, 630, 32, 2851, 32, 4462, 26, 1637, 30, 1914, 81, 3607, 47, 1696, 81, 3607, 30, 656, 5093, 1057, 978, 4746, 930, 366, 894, 370, 656, 5079, 81, 19991, 47, 1815, 27, 284, 665, 894, 81, 1645, 81, 7190, 318, 26, 784, 711, 291, 1938, 280, 3619, 4746, 930, 366, 32, 974, 1969, 26, 784, 32, 2851, 30, 330, 1456, 81, 37468, 31, 9734, 84, 31, 7190, 318, 32, 1645, 683, 291, 2196, 81, 3607, 280, 2322, 32, 983, 32, 2524, 2176, 2242, 81, 1515, 30, 330, 1456, 81, 37468, 32, 1645, 683, 291, 630, 32, 2851, 32, 4462, 26, 1637, 30, 1914, 81, 3607, 47, 1696, 81, 3607, 30, 656, 5093, 1057, 978, 4746, 930, 366, 894, 370, 656, 5079, 81, 19991, 47, 1815, 30, 7311, 81, 891, 47, 35, 34, 36, 38, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1596, 44, 291, 15798, 32, 1831, 346, 284, 2940, 1171, 8112, 44, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 9, 8, 9, 9, 8, 10, 9, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 7, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 9, 8, 9, 9, 8, 10, 9, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 7, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 8, 9, 7, 7, 9, 9, 8, 9, 9, 9, 9, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 3, 3, 7, 8, 7, 3, 3, 4, 5, 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 ]
[ 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, 2, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 2, 5, 5, 5, 5, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 2, 1, 1, 0, 0, 9, 2, 2, 2, 2, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 0, 0, 0, 2, 1, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 22045, 32, 2208, 203, 1070, 11993, 1188, 16736, 203, 1070, 11993, 1188, 11713, 203, 1070, 10011, 317, 290, 2204, 32, 1299, 1188, 1505, 203, 589, 3185, 26, 965, 711, 284, 8436, 280, 22045, 32, 2208, 32, 965, 2208, 26, 965, 27, 284, 415, 646, 8436, 32, 12256, 44, 291, 3636, 10091, 440, 2023, 15871, 2702, 657, 284, 415, 6937, 26, 965, 30, 3519, 711, 291, 3408, 280, 8436, 32, 12256, 284, 813, 44, 291, 3408, 280, 8436, 32, 12256, 32, 4434, 440, 314, 3258, 657, 291, 415, 6937, 26, 12881, 30, 22045, 32, 2208, 32, 4480, 1394, 711, 324, 8436, 280, 8436, 32, 4434, 440, 14510, 657, 284, 2601, 280, 8436, 32, 625, 10065, 415, 646, 2601, 44, 291, 2601, 280, 225, 38, 38, 37, 415, 8436, 32, 13627, 610, 323, 20, 641, 20, 813, 225, 42, 34, 284, 3536, 81, 983, 280, 22045, 32, 2208, 32, 965, 311, 2208, 26, 291, 308, 84, 26162, 323, 26162, 8436, 32, 983, 30, 8436, 32, 2132, 30, 8436, 32, 1217, 30, 8436, 32, 9854, 27, 284, 829, 284, 415, 646, 3536, 81, 983, 32, 15990, 26, 84, 9663, 10280, 291, 3536, 81, 983, 280, 323, 20, 5681, 474, 3536, 81, 983, 284, 415, 646, 1505, 32, 297, 81, 1327, 81, 2035, 26, 2035, 711, 291, 3636, 10091, 440, 3817, 11212, 657, 284, 442, 8436, 32, 13627, 30, 3408, 30, 2601, 30, 3536, 81, 983, 203, 589, 707, 2208, 26, 13627, 30, 3408, 30, 2601, 30, 1519, 347, 10280, 284, 415, 1519, 610, 11570, 563, 291, 1519, 280, 3330, 284, 442, 5461, 101, 555, 23, 101, 23, 101, 20, 904, 308, 13627, 30, 3408, 625, 26, 13627, 30, 3408, 30, 2601, 471, 1519, 27, 203, 589, 9336, 26, 101, 44, 16736, 77, 8924, 77, 466, 30, 596, 6137, 6693, 81, 452, 44, 596, 47, 2521, 27, 967, 596, 44, 284, 3345, 81, 33542, 81, 2228, 280, 3177, 284, 415, 6693, 81, 452, 44, 291, 3345, 81, 33542, 81, 2228, 280, 1346, 440, 347, 646, 328, 4356, 436, 4356, 328, 6693, 81, 452, 32, 2998, 24927, 2131, 284, 11830, 280, 22045, 32, 2208, 32, 965, 4434, 26, 101, 30, 3177, 30, 3878, 347, 8841, 32062, 11731, 657, 284, 415, 11830, 461, 3345, 81, 33542, 81, 2228, 44, 291, 11830, 280, 11830, 32, 3227, 440, 10068, 392, 14248, 657, 291, 415, 11830, 6448, 35, 79, 610, 36510, 950, 324, 11830, 280, 11830, 20129, 35, 79, 284, 442, 11830, 203, 589, 9843, 26, 101, 711, 284, 442, 22045, 32, 2208, 32, 2208, 81, 99, 2003, 26, 101, 30, 4986, 81, 5006, 81, 2810, 47, 1815, 30, 3878, 1057, 8841, 32062, 11731, 683, 203, 589, 15358, 26, 84, 44, 596, 30, 10061, 44, 596, 3784, 657, 967, 596, 44, 284, 442, 22045, 32, 2208, 32, 7345, 26, 84, 30, 10061, 47, 4770, 30, 3878, 347, 8841, 32062, 11731, 657, 203, 589, 707, 7345, 26, 101, 44, 596, 27, 967, 596, 44, 284, 442, 22045, 32, 2208, 32, 311, 7345, 26, 101, 30, 3878, 347, 8841, 32062, 11731, 657, 203, 589, 3408, 625, 26, 13627, 30, 3408, 30, 2601 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 7, 8, 6, 7, 7, 6, 7, 6, 2, 2, 3, 4, 5, 6, 3, 3, 3, 5, 7, 9, 9, 9, 9, 2, 2, 3, 5, 6, 5, 5, 5, 3, 3, 6, 6, 7, 8, 3, 3, 4, 4, 4, 7, 7, 10, 11, 9, 10, 9, 11, 11, 11, 5, 5, 6, 8, 9, 8, 8, 10, 11, 9, 10, 10, 8, 6, 6, 9, 9, 11, 12, 11, 13, 13, 2, 2, 4, 4, 5, 6, 2, 2, 3, 4, 3, 3, 3, 6, 6, 8, 8, 8, 7, 7, 9, 10, 8, 8, 10, 10, 10, 7, 7, 8, 8, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 7, 7, 6, 6, 6, 9, 9, 7, 9, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 6, 6, 2, 2, 3, 4, 7, 7, 6, 7, 6, 8, 8, 8, 3, 3, 7, 7, 6, 6, 9, 9, 7, 7, 8, 8, 2, 2, 3, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 3, 3, 5, 7, 9, 9, 9, 2, 2, 3, 5, 6, 4, 4, 4, 4, 4, 4, 5, 5, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 5, 1, 1, 3, 4, 4, 6, 3, 3, 6, 6, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 5, 5, 7, 7, 8, 7, 7, 7, 7, 7, 5, 5, 0, 1, 1, 2, 4, 3, 3, 6, 9, 9, 11, 9, 9, 9, 2, 4, 4, 3, 3, 3, 4, 2, 1, 1, 1, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 8, 11, 9, 9, 9, 8, 9, 9, 9, 12, 12, 11, 12, 11, 13, 2, 2, 4, 4, 7, 8, 6, 7, 7, 6, 7, 6, 6, 6, 6, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 8, 10, 4, 4, 5, 7, 9, 7, 6, 6, 8, 5, 5, 8, 8, 9, 12, 9, 2, 2, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 6, 6, 6, 5, 6, 5, 5, 7, 7, 7, 7, 6, 7, 5, 5, 6, 8, 8, 8, 8, 0, 1, 1, 2, 4, 3, 3, 2, 2, 3, 3, 3, 5, 1, 1, 1, 1, 1, 3, 6, 7, 5, 6, 5, 6, 5, 5, 6, 7, 5, 5, 6, 8, 8, 8, 8, 0, 1, 1, 2, 2, 4, 3, 3, 2, 1, 1, 1, 1, 1, 3, 6, 7, 5, 6, 6, 5, 6, 5, 5, 6, 8, 8, 8, 8, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2 ]
[ 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 4, 4, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 3, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 2, 2, 4, 4, 4, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 2, 1, 1, 11, 2, 1, 1, 1, 4, 4, 6, 1, 0, 0, 0, 2, 1, 0, 0, 2, 6, 6, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 4, 4, 7, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 7, 7, 0, 1, 1, 1, 2, 4, 4, 8, 0, 2, 1, 1, 1, 1, 1, 1, 6, 6, 0, 5, 5, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 1, 5, 5, 0, 1, 1, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 6, 6, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 3, 3, 3, 4, 2, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 6, 6, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 2, 6, 6, 3, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 2, 1, 2, 3, 3, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 6, 6, 4, 0, 7, 7, 2, 1, 2, 7, 7, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 3, 2, 1, 1, 5, 1, 1, 1, 2, 0, 8, 8, 2, 0, 1, 1, 2, 2, 3, 3, 3, 2, 8, 8, 8, 8, 8, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 1, 2, 0, 9, 9, 1, 2, 0, 1, 1, 2, 9, 9, 9, 9, 9, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 2, 0, 10, 10, 1, 2, 1, 2, 2, 2, 2 ]
[ 1070, 617, 3731, 1188, 319, 203, 1070, 18778, 1188, 7750, 959, 203, 2040, 81, 1696, 81, 4219, 47, 505, 4758, 75, 14218, 9818, 2040, 81, 1696, 81, 4219, 203, 2040, 81, 2848, 81, 4219, 280, 1156, 4758, 75, 14218, 9818, 2040, 81, 2848, 81, 4219, 203, 2040, 81, 1260, 47, 505, 4758, 75, 14218, 9818, 2040, 81, 1260, 203, 839, 2375, 81, 2811, 81, 2816, 280, 1156, 4758, 75, 14218, 9818, 2811, 203, 6118, 280, 2107, 505, 1831, 505, 785, 203, 1439, 81, 2493, 81, 4254, 280, 1156, 4758, 75, 14218, 9818, 839, 2375, 81, 983, 203, 1439, 81, 4254, 280, 1156, 4758, 75, 14218, 9818, 839, 2375, 81, 983, 203, 14842, 81, 1647, 81, 4243, 47, 505, 4758, 75, 14218, 9818, 14842, 81, 1647, 81, 4243, 203, 2263, 1174, 1057, 31935, 25, 203, 589, 13489, 81, 1338, 2262, 284, 13489, 280, 1156, 4758, 75, 14218, 9818, 3893, 81, 3034, 6448, 35, 79, 284, 442, 308, 14806, 3667, 823, 7642, 14806, 30, 14806, 32, 35382, 27, 203, 2493, 81, 4254, 280, 1156, 4758, 75, 14218, 9818, 839, 2375, 81, 983, 203, 21823, 280, 1156, 4758, 75, 14218, 9818, 839, 2375, 81, 983, 34512, 839, 2375, 32, 754, 25, 203, 589, 4323, 26, 91, 47, 2521, 711, 284, 3636, 1171, 8112, 25416, 203, 823, 4655, 81, 823, 44, 334, 665, 1156, 1664, 3207, 784, 711, 397, 630, 32, 2811, 47, 34, 397, 630, 32, 18697, 47, 34, 397, 630, 32, 17107, 47, 34, 397, 630, 32, 22926, 47, 34, 397, 630, 32, 32607, 81, 1821, 81, 2263, 687, 47, 34, 397, 630, 32, 1347, 81, 496, 81, 2851, 47, 34, 397, 630, 32, 1347, 81, 2851, 47, 34, 397, 630, 32, 3617, 81, 9236, 47, 34, 397, 630, 32, 10529, 47, 34, 397, 630, 32, 3651, 81, 5691, 47, 34, 397, 630, 32, 22290, 47, 34, 397, 630, 32, 2888, 81, 3855, 1649, 47, 35, 203, 4545, 47, 4555, 81, 823, 346, 203, 589, 622, 18290, 8644, 2740, 1132, 38747, 4124, 711, 284, 442, 330, 3310, 31, 42, 25, 203, 1449, 891, 47, 36, 35, 38, 41, 38, 42, 37, 40, 38, 41, 203, 1449, 9941, 47, 35, 35, 35, 38, 35, 35, 35, 203, 983, 280, 1156, 4758, 75, 14218, 9818, 983, 203, 2859, 81, 983, 47, 505, 4758, 75, 14218, 9818, 2859, 81, 983, 203, 5134, 347, 839, 2375, 20, 203, 4254, 280, 1156, 4758, 75, 14218, 9818, 839, 2375, 81, 983, 203, 1648, 280, 5608, 2473, 2524, 26, 466, 26, 106, 27, 436, 816, 328, 1156, 4758, 75, 14218, 9818, 1648, 81, 1338, 2867, 37, 1130, 203, 1648, 1454, 313, 308, 1536, 30, 904, 101, 27, 766, 96, 77, 27465, 225, 35, 32, 39, 79, 544, 551, 994, 1620, 20, 904, 1156, 4758, 75, 14218, 9818, 19243, 81, 770, 203, 6949, 1648, 280, 225, 34, 106, 34, 37, 34, 34, 34, 34, 34, 34, 264, 203, 823, 1156, 1648, 81, 1338, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1503, 81, 1338, 711, 291, 630, 32, 1648, 81, 1338, 280, 1503, 81, 1338, 291, 630, 32, 13147, 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, 1, 1, 0, 1, 1, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 2, 2, 5, 5, 5, 5, 0, 3, 3, 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, 0, 3, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 7, 5, 7, 5, 2, 2, 3, 6, 5, 6, 6, 5, 4, 6, 5, 6, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 5, 5, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 7, 4, 4, 7, 8, 6, 7, 4, 4, 7, 8, 6, 7, 4, 4, 7, 8, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 7, 4, 4, 7, 8, 8, 8, 6, 7, 4, 4, 7, 8, 8, 8, 6, 7, 4, 4, 7, 8, 6, 7, 4, 4, 7, 8, 8, 8, 6, 7, 4, 4, 7, 8, 6, 7, 4, 4, 7, 8, 8, 8, 8, 6, 7, 0, 3, 2, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 4, 2, 4, 2, 1, 1, 3, 5, 5, 5, 5, 0, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 6, 5, 4, 6, 6, 7, 6, 4, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 6, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 11, 11, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 1, 0, 1, 2, 2, 3, 1, 0, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 14, 14, 2, 0, 1, 2, 2, 14, 14, 0, 0, 1, 0, 15, 15, 1, 1, 15, 15, 15, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 4, 4, 0, 2, 0, 2, 4, 4, 0, 2, 0, 2, 4, 4, 0, 2, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 4, 4, 0, 2, 2, 2, 0, 2, 4, 4, 0, 2, 2, 2, 0, 2, 4, 4, 0, 2, 0, 2, 4, 4, 0, 2, 2, 2, 0, 2, 4, 4, 0, 2, 0, 2, 4, 4, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 17, 17, 1, 1, 2, 1, 2, 1, 2, 17, 17, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 3, 1, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 27, 27, 1, 1, 1, 2, 1, 2, 27, 27, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 465, 5237, 203, 325, 19326, 26, 3731, 30, 313, 371, 86, 33786, 4545, 657, 461, 19326, 26, 3731, 30, 313, 470, 86, 33786, 4545, 10280, 334, 1188, 26015, 334, 5237, 32, 470, 86, 33786, 4545, 26, 3731, 32, 371, 86, 33786, 4545, 346, 523, 26015, 32, 4460, 7118, 81, 14285, 27, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 2454, 81, 5248, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 706, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3363, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 2869, 81, 4554, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 1040, 1188, 8248, 203, 823, 27234, 1006, 26, 858, 32, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 803, 81, 2946, 81, 5248, 280, 2322, 32, 983, 32, 2524, 26, 3142, 81, 4554, 32, 371, 81, 605, 81, 2536, 81, 983, 1026, 10000, 313, 858, 81, 761, 81, 2946, 32, 762, 657, 284, 2454, 81, 5248, 32, 944, 81, 761, 81, 2946, 81, 5248, 26, 761, 81, 2946, 81, 5248, 27, 334, 665, 894, 7099, 26, 784, 711, 284, 623, 630, 32, 858, 81, 2848, 346, 619, 13597, 44, 397, 6187, 280, 3363, 81, 4156, 32, 45403, 33173, 440, 858, 81, 6308, 657, 397, 5523, 280, 706, 81, 1867, 81, 4156, 32, 20397, 4084, 26, 43, 43, 30, 428, 48507, 32, 800, 614, 24195, 47, 1157, 397, 5523, 32, 22657, 81, 11374, 2009, 1365, 858, 555, 3986, 1446, 8492, 1945, 346, 397, 5523, 32, 2679, 922, 1945, 346, 397, 1202, 30, 786, 280, 13597, 32, 1945, 26, 6308, 32, 850, 26, 3926, 490, 284, 630, 32, 5299, 26, 678, 30, 8248, 32, 302, 81, 3651, 440, 858, 555, 3986, 2131, 284, 630, 32, 5299, 26, 853, 30, 8248, 32, 302, 81, 3651, 440, 13789, 2141, 2131, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 334, 894, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 1, 1, 3, 2, 2, 5, 6, 6, 6, 6, 5, 9, 8, 9, 9, 9, 9, 8, 6, 6, 7, 8, 8, 8, 8, 5, 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, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 10, 11, 11, 11, 10, 8, 8, 5, 5, 5, 8, 8, 11, 11, 10, 11, 11, 10, 12, 12, 12, 12, 6, 6, 8, 8, 11, 11, 11, 11, 10, 11, 11, 10, 11, 11, 10, 10, 13, 12, 13, 11, 10, 11, 12, 6, 6, 11, 12, 12, 12, 11, 13, 15, 15, 15, 15, 12, 10, 9, 6, 6, 11, 12, 11, 10, 9, 6, 6, 9, 9, 8, 8, 10, 11, 10, 13, 12, 13, 12, 13, 12, 4, 4, 7, 8, 7, 8, 7, 7, 9, 10, 10, 10, 9, 11, 11, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 9, 10, 10, 10, 9, 11, 11, 11, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 3, 3, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 13, 13, 1, 2, 0, 1, 2, 2, 13, 13, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 3, 1, 5, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 3, 0, 2, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 14, 14, 0, 0, 1, 1, 1, 1, 14, 14, 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 ]
[ 1070, 3833, 1188, 7819, 30, 2267, 203, 1070, 17787, 1188, 622, 1855, 761, 203, 465, 2322, 203, 465, 5237, 203, 1070, 15798, 32, 3613, 1188, 7502, 203, 465, 13092, 203, 1070, 13625, 1188, 41829, 203, 1700, 81, 983, 280, 2322, 32, 983, 32, 21379, 26, 371, 1855, 761, 26, 5962, 44, 225, 34, 490, 203, 1700, 81, 1515, 280, 2322, 32, 983, 32, 7781, 26, 1700, 81, 983, 27, 203, 2388, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 1700, 81, 1515, 30, 2322, 32, 568, 1515, 30, 2322, 32, 568, 1515, 27, 203, 3731, 32, 983, 32, 1689, 26, 2388, 81, 1515, 27, 203, 465, 1561, 32, 1262, 81, 3477, 32, 7621, 619, 6350, 203, 1070, 1561, 32, 1436, 1188, 4578, 203, 1070, 1561, 32, 3378, 1188, 5718, 203, 823, 4851, 44, 284, 477, 16099, 284, 665, 622, 81, 1436, 81, 1286, 26, 1436, 711, 291, 442, 1474, 32, 1286, 284, 477, 16099, 284, 665, 622, 81, 1803, 81, 1517, 26, 1436, 711, 291, 442, 1474, 32, 297, 81, 1803, 203, 823, 4578, 2424, 26, 2759, 711, 284, 17570, 280, 2267, 346, 284, 33323, 280, 2267, 346, 203, 50, 12408, 32, 12940, 203, 589, 4395, 81, 1199, 81, 2848, 2262, 284, 442, 7502, 346, 203, 50, 12408, 32, 12940, 203, 589, 2016, 81, 22672, 81, 2067, 2262, 284, 2016, 81, 22672, 81, 2067, 280, 6350, 32, 9770, 13976, 346, 284, 2016, 81, 22672, 81, 2067, 32, 923, 81, 1436, 81, 3926, 280, 41829, 346, 284, 2016, 81, 22672, 81, 2067, 32, 2501, 81, 3926, 280, 41829, 346, 284, 2016, 81, 22672, 81, 2067, 32, 2122, 280, 4851, 346, 284, 442, 2016, 81, 22672, 81, 2067, 203, 589, 894, 81, 669, 81, 2501, 26, 2501, 81, 22672, 81, 2067, 30, 4395, 81, 1199, 81, 2848, 711, 284, 2467, 81, 695, 280, 4395, 81, 1199, 81, 2848, 32, 1217, 32, 601, 81, 853, 284, 2761, 81, 695, 280, 2467, 81, 695, 32, 2029, 32, 601, 81, 853, 284, 2761, 81, 695, 32, 658, 81, 271, 81, 4108, 32, 601, 81, 853, 280, 1665, 284, 2016, 81, 22672, 81, 2067, 32, 669, 81, 2501, 26, 1175, 26, 1286, 347, 19, 669, 81, 2501, 653, 858, 458, 438, 312, 894, 392, 1474, 81, 681, 47, 1175, 2424, 32, 10881, 471, 4395, 81, 1199, 81, 2848, 27, 284, 4395, 81, 1199, 81, 2848, 32, 669, 32, 862, 81, 10910, 346, 284, 1201, 2016, 81, 22672, 81, 2067, 32, 923, 81, 1436, 81, 3926, 77, 34, 79, 610, 330, 2019, 3640, 4564, 284, 1201, 2069, 26, 2501, 81, 22672, 81, 2067, 32, 2501, 81, 3926, 27, 610, 225, 35, 203, 589, 894, 81, 669, 81, 2501, 81, 1347, 81, 32449, 26, 2501, 81, 22672, 81, 2067, 30, 4395, 81, 1199, 81, 2848, 711, 284, 2016, 81, 22672, 81, 2067, 32, 669, 81, 2501, 26, 1175, 26, 1286, 347, 19, 669, 81, 2501, 894, 458, 438, 312, 894, 392, 1474, 81, 681, 47, 1175, 2424, 32, 10881, 471, 4395, 81, 1199, 81, 2848, 27, 284, 4395, 81, 1199, 81, 2848, 32, 669, 32, 862, 81, 1206, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 7, 7, 7, 8, 6, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 4, 0, 5, 4, 5, 3, 4, 3, 4, 4, 4, 3, 0, 1, 1, 3, 4, 4, 4, 3, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 2, 2, 4, 4, 6, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 4, 6, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 5, 5, 7, 8, 8, 7, 3, 3, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 5, 5, 7, 3, 3, 7, 7, 7, 7, 6, 7, 7, 7, 5, 5, 7, 3, 3, 7, 7, 7, 7, 6, 7, 5, 5, 7, 3, 3, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 7, 6, 7, 5, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 5, 6, 6, 6, 2, 2, 7, 7, 6, 7, 7, 7, 7, 7, 5, 6, 6, 6, 4, 4, 2, 2, 6, 6, 6, 6, 5, 6, 6, 6, 5, 7, 7, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 9, 9, 8, 10, 10, 9, 10, 7, 5, 6, 6, 6, 6, 5, 2, 2, 7, 7, 7, 7, 6, 7, 5, 6, 6, 6, 5, 2, 2, 3, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 5, 6, 5, 4, 4, 6, 6, 6, 2, 2, 3, 6, 8, 8, 8, 8, 8, 7, 8, 8, 8, 6, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 6, 6, 6, 6, 5, 6, 6, 6, 5, 7, 7, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 9, 9, 8, 10, 10, 9, 10, 7, 5, 6, 6, 6, 6, 5, 2, 2, 7, 7, 7, 7, 6, 7, 5, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 5, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 11, 11, 0, 2, 2, 2, 0, 4, 1, 1, 0, 12, 12, 1, 2, 12, 12, 0, 13, 13, 1, 2, 13, 13, 0, 14, 14, 14, 14, 14, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 15, 15, 1, 2, 1, 2, 15, 15, 0, 0, 1, 4, 4, 0, 0, 1, 0, 0, 0, 1, 2, 16, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 17, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 1, 4, 4, 4, 1, 1, 1, 1, 0, 18, 18, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 0, 2, 2, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 4, 4, 6, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 19, 19, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 19, 19, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 0, 2, 2, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2 ]
[ 100, 2993, 399, 3398, 706, 15571, 461, 18904, 32, 203, 1348, 4865, 2297, 4575, 322, 3398, 308, 525, 555, 1260, 32, 1088, 4242, 706, 203, 7328, 2179, 45, 312, 17272, 432, 516, 3103, 1099, 1235, 308, 13971, 9657, 27, 436, 7328, 203, 17148, 706, 3738, 308, 14951, 30, 5852, 30, 323, 45558, 30, 10375, 30, 461, 203, 4653, 1353, 12051, 27, 328, 312, 2898, 31, 14661, 4281, 1344, 31, 7873, 8345, 32, 203, 2030, 883, 9336, 556, 9843, 3733, 3398, 14186, 5852, 461, 7555, 203, 4865, 706, 3738, 32, 225, 31441, 1247, 844, 2268, 793, 322, 9336, 346, 461, 9843, 346, 203, 4442, 3417, 810, 458, 2297, 30, 1273, 415, 844, 2637, 1829, 3498, 2288, 203, 322, 8202, 844, 883, 793, 322, 3398, 443, 32, 203, 1348, 4736, 19843, 372, 526, 619, 14252, 281, 494, 599, 299, 372, 1169, 203, 328, 3458, 329, 732, 432, 322, 29787, 619, 4195, 32, 225, 2030, 883, 26391, 328, 6523, 203, 2926, 308, 7900, 1755, 6972, 3398, 31, 980, 24826, 8345, 27, 556, 312, 2979, 31, 5848, 2926, 203, 308, 7900, 6972, 5610, 1829, 432, 322, 9844, 516, 3103, 1099, 1235, 15010, 8345, 547, 203, 1348, 8600, 6153, 2193, 436, 23174, 5852, 308, 19966, 203, 6178, 32062, 31, 16564, 436, 2979, 31, 52, 1456, 7125, 471, 461, 1169, 1451, 15477, 203, 6237, 11003, 5934, 461, 24433, 225, 41, 39, 38, 2979, 31, 14951, 3751, 312, 21644, 556, 203, 39222, 32, 203, 886, 3398, 33, 55, 3103, 1099, 1235, 372, 4865, 827, 22718, 884, 44, 284, 5094, 3265, 1559, 2407, 5094, 8312, 1559, 284, 744, 6019, 1665, 284, 3469, 2850, 3469, 225, 308, 5766, 225, 35, 27, 284, 5069, 308, 1508, 30, 1870, 27, 261, 1560, 225, 308, 1815, 556, 3177, 27, 284, 4401, 2071, 629, 556, 1946, 225, 308, 5766, 225, 36, 27, 284, 8174, 5688, 1897, 284, 892, 423, 596, 556, 15390, 225, 308, 313, 13585, 556, 1044, 20, 13585, 829, 284, 2629, 428, 83, 30, 44878, 263, 1149, 225, 308, 18654, 79, 829, 284, 2194, 301, 83, 44, 84, 30, 2417, 111, 647, 5436, 225, 308, 12399, 111, 829, 284, 769, 5830, 225, 35, 32, 600, 330, 6376, 25, 1300, 438, 17103, 328, 458, 2297, 1510, 1568, 10666, 322, 7555, 4865, 786, 436, 458, 827, 1412, 328, 1568, 2979, 31, 5848, 2926, 32, 284, 769, 5830, 225, 36, 32, 1629, 516, 3103, 1099, 1235, 18670, 1631, 526, 973, 31, 36032, 372, 4865, 1568, 36465, 30, 3751, 619, 225, 35, 87, 29, 38, 34, 32, 225, 8669, 4991, 429, 34, 438, 12785, 372, 1568, 1897, 429, 34, 30, 1259, 619, 372, 24070, 322, 2596, 308, 7900, 516, 3103, 1099, 1235, 7171, 547, 203, 701, 10879, 30, 1412, 16829, 328, 2979, 31, 5848, 2926, 30, 10204, 24433, 225, 41, 39, 38, 203, 2979, 31, 14951, 884, 2329, 13744, 30, 461, 884, 14740, 372, 2818, 4865, 203, 4684, 17103, 328, 458, 2297, 44, 275, 21644, 308, 1206, 312, 1451, 27, 262, 19291, 264, 308, 1808, 463, 10095, 2847, 275, 39222, 30, 474, 25237, 264, 9233, 264, 308, 1808, 463, 5267, 2847, 275, 429, 25237, 2850, 1168, 1523 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 12460, 203, 465, 2322, 203, 465, 16539, 203, 465, 5237, 203, 1070, 341, 1549, 1356, 1188, 15091, 30, 1222, 30, 13366, 30, 1212, 30, 2031, 30, 2247, 30, 2755, 203, 1070, 341, 1549, 1356, 32, 2247, 5142, 1188, 2787, 30, 5553, 30, 5483, 203, 3264, 485, 81, 297, 81, 2661, 203, 89, 81, 297, 81, 2661, 47, 2700, 203, 3264, 485, 81, 2997, 203, 89, 81, 2997, 47, 34, 203, 50, 3274, 463, 85, 1195, 21937, 683, 203, 50, 5483, 463, 4699, 81, 3563, 8478, 683, 203, 589, 2305, 81, 1163, 81, 90, 26, 784, 711, 203, 202, 784, 32, 2121, 32, 1689, 81, 853, 463, 521, 2955, 3336, 69, 370, 784, 32, 84, 1381, 32, 84, 1381, 1251, 32, 21379, 1157, 203, 589, 739, 81, 2184, 26, 2215, 30, 2811, 81, 1170, 81, 1536, 47, 2700, 711, 203, 202, 3264, 485, 81, 2997, 203, 202, 325, 485, 81, 2997, 48, 34, 44, 357, 202, 601, 203, 202, 15615, 81, 2184, 47, 2215, 32, 669, 81, 1762, 81, 1363, 463, 21366, 14904, 1195, 683, 203, 202, 979, 831, 328, 12664, 4254, 1195, 287, 3316, 1515, 7831, 357, 202, 1762, 47, 2215, 32, 3922, 32, 371, 81, 1762, 26, 93, 27, 357, 202, 325, 2470, 44, 355, 202, 2215, 32, 3922, 32, 2546, 81, 1762, 26, 93, 27, 355, 202, 15615, 81, 2184, 32, 669, 81, 1762, 26, 1762, 27, 203, 202, 15615, 81, 2184, 32, 669, 81, 1762, 12664, 10350, 370, 681, 1057, 800, 370, 4756, 347, 23928, 18335, 428, 2044, 44, 35807, 33, 1771, 25790, 203, 202, 15615, 81, 2184, 32, 669, 81, 1762, 12664, 1163, 1515, 370, 681, 1057, 800, 370, 4756, 347, 2324, 706, 428, 2044, 44, 35807, 33, 6698, 25790, 203, 202, 15615, 81, 2184, 32, 669, 81, 1762, 12664, 2901, 27750, 370, 681, 1057, 800, 370, 4756, 347, 7432, 706, 428, 2044, 44, 35807, 33, 6074, 25790, 203, 202, 15615, 81, 2184, 32, 669, 81, 1762, 12664, 1017, 1515, 370, 681, 1057, 800, 370, 4756, 347, 2644, 2276, 428, 2044, 44, 35807, 33, 1017, 25790, 203, 202, 15615, 81, 2184, 32, 669, 81, 1762, 12664, 1356, 1515, 370, 681, 1057, 800, 370, 4756, 347, 31820, 428, 2044, 44, 35807, 33, 1356, 25790, 203, 202, 15615, 81, 2184, 32, 669, 81, 1762, 12664, 995, 476, 370, 681, 1057, 800, 370, 4756, 347, 18435, 7853, 428, 2044, 44, 18131, 1192, 3900, 33, 1588, 25790, 203, 202, 15615, 81, 2184, 32, 669, 81, 1762, 12664, 1427, 1515, 370, 681, 1057, 800, 370, 4756, 347, 4424, 4333, 428, 2044, 44, 18131, 1192, 3900, 33, 1427, 25790, 203, 202, 325, 4588, 81, 1170, 81, 1536, 44, 357, 202, 2215, 32, 669, 81, 1762, 12664, 22926, 370, 1141, 1057, 2157, 81, 1870, 370, 1536, 47, 1815, 30, 3316, 1057, 2811, 370, 4756, 347, 3313, 24963, 26672, 657, 203, 202, 1824, 44, 357, 202, 2215, 32, 669, 81, 1762, 12664, 2811, 370, 1141, 1057, 2157, 81, 1508, 370, 1536, 47, 2700, 30, 3316, 1057, 2811, 370, 4756, 347, 3313, 4588, 15329, 26672, 657, 357, 202, 2215, 32, 669, 81, 1762, 12664, 568, 2811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 3, 1, 3, 0, 1, 1, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 2, 3, 0, 1, 1, 2, 2, 0, 3, 3, 3, 2, 3, 0, 2, 4, 4, 6, 6, 6, 6, 1, 2, 4, 4, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 8, 7, 8, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 11, 10, 11, 11, 9, 10, 10, 10, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 4, 4, 4, 4, 4, 3, 4, 2, 1, 1, 3, 3, 4, 4, 2, 2, 3, 3, 5, 5, 4, 5, 3, 3, 3, 5, 2, 2, 5, 5, 5, 4, 7, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 2, 2, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 7, 6, 10, 9, 10, 8, 9, 9, 9, 8, 9, 8, 4, 4, 5, 5, 5, 5, 5, 11, 10, 11, 9, 10, 10, 10, 9, 10, 9, 6, 6, 10, 10, 10, 9, 10, 10, 10, 9, 10, 9, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 6, 8, 8, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 6, 8, 8, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 6, 8, 8, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 6, 8, 8, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 6, 8, 8, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 6, 8, 8, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 6, 8, 8, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 8, 7, 8, 8, 8, 7, 9, 9, 9, 8, 10, 10, 10, 10, 9, 8, 9, 7, 9, 8, 10, 10, 9, 8, 10, 10, 10, 10, 3, 3, 4, 4, 4, 4, 9, 8, 9, 9, 9, 8, 10, 10, 10, 9, 11, 11, 11, 11, 10, 9, 10, 8, 10, 9, 11, 11, 10, 9, 11, 11, 11, 11, 11, 5, 5, 9, 8, 9, 9, 9, 8, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 5, 5, 0, 0, 1, 2, 2, 5, 5, 5, 0, 5, 0, 0, 6, 6, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 8, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 10, 1, 0, 1, 1, 1, 1, 1, 2, 10, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 11, 11, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 3, 2, 2, 11, 11, 0, 0, 1, 1, 4, 4, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 4, 4, 3, 3, 3, 3, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 3, 1, 2, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 3, 1, 2, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 3, 1, 2, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 3, 1, 2, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 3, 1, 2, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 3, 1, 2, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 3, 1, 2, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 11, 11, 1, 1, 1, 1, 11, 11, 11, 0, 0, 2, 2, 2, 1, 1, 2, 0, 3, 1, 1, 1, 2, 0, 5, 2, 1, 0, 7, 1, 2, 0, 9, 1, 1, 1, 2, 11, 11, 4, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 2, 0, 3, 1, 1, 1, 2, 0, 5, 2, 1, 0, 7, 1, 2, 0, 9, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1 ]
[ 465, 5237, 30, 2322, 203, 9081, 280, 2107, 26275, 32, 407, 32, 1645, 3812, 785, 203, 8881, 81, 983, 280, 2107, 81, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 23825, 25, 203, 2250, 280, 1044, 25, 6169, 51, 25, 203, 11794, 280, 1044, 25, 935, 6543, 25, 203, 1648, 280, 330, 104, 42, 25, 203, 3779, 280, 330, 104, 42, 25, 203, 10444, 81, 15719, 280, 1605, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 916, 81, 4661, 280, 330, 1536, 25, 203, 24189, 81, 17274, 280, 428, 334, 2726, 23825, 370, 330, 1657, 83, 31, 23825, 31, 1647, 31, 1427, 32, 8581, 370, 1044, 25, 1318, 26299, 51, 8752, 31, 37, 498, 1713, 7703, 12217, 370, 1044, 25, 41423, 394, 735, 47467, 17067, 89, 295, 409, 22514, 508, 28607, 329, 1785, 409, 390, 3690, 311, 9486, 308, 935, 6543, 7243, 330, 12505, 1425, 203, 79, 203, 1482, 203, 1482, 203, 433, 203, 433, 203, 433, 203, 433, 203, 433, 203, 21, 4682, 81, 2969, 81, 2649, 280, 225, 38, 225, 203, 21, 203, 433, 1588, 81, 5646, 280, 428, 284, 2726, 1055, 370, 330, 2425, 31, 37, 31, 1160, 31, 5248, 370, 1044, 25, 2425, 31, 37, 3678, 13392, 370, 275, 428, 103, 25, 2425, 31, 37, 2074, 2188, 225, 35, 27, 203, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 3, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 5, 5, 5, 5, 5, 5, 2, 2, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 13, 0, 14, 0, 15, 0, 16, 0, 17, 0, 18, 0, 19, 0, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 21, 0, 22, 22, 22, 22, 22, 22, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 7, 0, 0, 1, 1, 1, 1, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4980, 290, 7319, 25, 203, 465, 322, 7221, 203, 465, 322, 7221, 32, 6800, 619, 394, 203, 465, 6436, 619, 2065, 203, 1070, 8348, 81, 2304, 1188, 6915, 23218, 203, 823, 15200, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 10477, 30, 1509, 47, 2521, 30, 310, 81, 1131, 47, 41, 42, 38, 30, 310, 81, 2024, 47, 35, 34, 30, 13226, 47, 2521, 30, 624, 47, 2521, 30, 323, 47, 2521, 711, 291, 630, 32, 1131, 280, 1509, 291, 415, 624, 438, 1665, 44, 324, 624, 81, 2810, 280, 2065, 32, 26742, 26, 400, 10477, 32, 10586, 26, 741, 6593, 2356, 32, 8663, 26, 40, 32, 34, 517, 308, 96, 81, 1131, 474, 310, 81, 2024, 3662, 6035, 3857, 47, 2356, 32, 8663, 26, 40, 32, 34, 517, 308, 96, 81, 1131, 474, 310, 81, 2024, 3662, 6035, 1334, 4310, 96, 81, 1131, 30, 310, 81, 2024, 3662, 400, 9710, 47, 1382, 7221, 32, 1163, 32, 1808, 74, 27, 324, 415, 13226, 610, 6915, 23218, 44, 400, 624, 81, 2810, 10439, 225, 38, 32, 34, 324, 624, 280, 322, 7221, 32, 4190, 26, 853, 47, 73, 81, 2810, 30, 636, 1057, 73, 370, 33187, 47, 1815, 27, 291, 415, 323, 438, 1665, 44, 324, 323, 81, 2810, 280, 2065, 32, 9880, 1162, 96, 81, 2024, 28020, 9710, 47, 1382, 7221, 32, 1163, 32, 1808, 74, 27, 324, 323, 280, 322, 7221, 32, 4190, 26, 853, 47, 84, 81, 2810, 30, 636, 1057, 84, 370, 33187, 47, 1815, 27, 291, 630, 32, 73, 280, 624, 291, 630, 32, 84, 280, 323, 291, 10081, 81, 2024, 280, 394, 32, 4260, 26, 1131, 30, 630, 32, 73, 27, 474, 630, 32, 84, 291, 415, 13226, 438, 1665, 44, 324, 630, 32, 2024, 280, 10081, 81, 2024, 291, 813, 44, 324, 630, 32, 2024, 280, 13226, 26, 8362, 81, 2024, 27, 291, 630, 32, 2132, 280, 428, 784, 32, 73, 30, 630, 32, 84, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 10, 10, 12, 13, 12, 14, 13, 17, 16, 17, 16, 18, 18, 18, 17, 17, 20, 20, 20, 19, 19, 20, 20, 18, 12, 12, 13, 16, 15, 16, 15, 17, 17, 17, 16, 16, 19, 19, 19, 18, 18, 19, 19, 17, 12, 12, 13, 15, 15, 15, 14, 14, 15, 15, 14, 10, 10, 11, 14, 14, 13, 14, 12, 13, 13, 10, 6, 6, 7, 8, 8, 9, 7, 7, 7, 11, 11, 10, 10, 11, 11, 11, 6, 6, 8, 8, 11, 10, 11, 10, 12, 11, 12, 12, 12, 10, 10, 11, 13, 13, 10, 11, 12, 10, 4, 4, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 12, 12, 12, 11, 10, 11, 14, 14, 13, 14, 12, 13, 13, 10, 6, 6, 8, 8, 11, 10, 11, 10, 12, 11, 12, 12, 12, 10, 10, 11, 13, 13, 10, 11, 12, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 7, 6, 6, 9, 10, 9, 10, 9, 9, 10, 11, 9, 7, 7, 8, 9, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 8, 8, 9, 9, 5, 5, 6, 6, 6, 10, 11, 9, 9, 11, 12, 12, 12, 11, 4, 4, 7, 8, 6, 6, 9, 8, 9, 7, 7, 8, 9, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 3, 3, 1, 1, 0, 4, 4, 0, 0, 4, 4, 0, 0, 5, 5, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 2, 15, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 3, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 5, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 0, 0, 0, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 2, 1, 5, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 2, 1, 5, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 2, 2, 4, 4, 6, 1, 1, 6, 6, 6, 0, 2, 0, 0, 2, 2, 6, 6, 4, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 2, 2, 2, 3, 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 ]
[ 505, 13411, 505, 280, 3941, 606, 11033, 203, 465, 5237, 30, 2322, 203, 1070, 1673, 2304, 32, 1040, 1188, 622, 81, 5134, 203, 1070, 1673, 2304, 32, 1262, 1188, 5718, 203, 1070, 1673, 2304, 32, 4275, 1188, 9306, 2304, 2828, 924, 203, 589, 2519, 81, 980, 38850, 2262, 284, 645, 1673, 2304, 32, 85, 10199, 1188, 2519, 81, 980, 38850, 284, 2519, 81, 980, 38850, 346, 203, 823, 1968, 26, 2019, 711, 284, 3048, 280, 313, 1832, 8989, 5349, 372, 2443, 20, 284, 1256, 81, 2184, 280, 428, 291, 2726, 1832, 31, 1439, 12483, 330, 84, 370, 276, 313, 1439, 3362, 436, 1968, 4253, 2113, 291, 2726, 1832, 31, 17930, 1356, 12483, 1665, 30, 276, 313, 1832, 3362, 436, 5624, 31, 14661, 28404, 2113, 291, 2726, 1832, 31, 17056, 1356, 12483, 1665, 30, 276, 313, 1832, 3362, 436, 5624, 31, 10265, 28404, 2113, 291, 2726, 1832, 31, 1356, 12483, 1665, 30, 276, 313, 1832, 3362, 436, 1169, 7433, 308, 10514, 372, 3154, 313, 474, 276, 313, 1832, 31, 17930, 1356, 556, 1968, 31, 17056, 1356, 2113, 291, 2726, 1832, 31, 8121, 12483, 1665, 30, 276, 313, 1832, 3362, 436, 10105, 2113, 291, 2726, 1832, 31, 1433, 12483, 330, 102, 370, 276, 313, 29820, 1968, 3362, 2113, 291, 2726, 17056, 31, 426, 12483, 330, 98, 370, 276, 313, 5134, 636, 372, 1968, 436, 30, 415, 5420, 313, 276, 11608, 1536, 44, 904, 101, 4731, 904, 622, 81, 5134, 6182, 291, 2726, 10199, 12483, 330, 85, 370, 276, 313, 38484, 322, 8980, 827, 2113, 291, 2726, 2811, 370, 330, 89, 370, 276, 313, 6993, 11581, 461, 11323, 623, 15066, 2471, 2113, 291, 2726, 5538, 370, 330, 88, 370, 276, 313, 979, 85, 22065, 1968, 8989, 308, 3617, 803, 29860, 43471, 291, 2726, 21823, 12483, 330, 87, 370, 276, 313, 38484, 1158, 8050, 23804, 1519, 308, 1832, 32, 978, 43471, 291, 1481, 284, 1905, 81, 2184, 280, 2107, 2811, 370, 330, 5538, 785, 284, 3049, 81, 2184, 280, 428, 291, 2726, 4756, 31, 10199, 370, 1665, 30, 276, 313, 668, 3304, 47276, 392, 2519, 81, 980, 38850, 471, 291, 1481, 284, 665, 7379, 81, 2184, 26, 784, 711, 291, 630, 32, 1832, 81, 1439, 280, 330, 1832, 25, 291, 630, 32, 1832, 81, 17930, 1356, 280, 1665, 291, 630, 32, 1832, 81, 17056, 1356, 280, 1665, 291, 630, 32, 1832, 81, 1356, 280, 1665, 291, 630, 32, 1832, 81, 1433, 280, 1665, 291, 630, 32, 1832, 81, 8121, 280, 1665, 291, 630, 32, 10199, 280, 1665, 291, 630, 32, 17056, 81, 426, 280, 1665, 291, 630, 32, 2811, 280, 1665, 291, 630, 32, 5538, 280, 225, 34, 291, 630, 32, 21823, 280, 1665, 284, 665, 34207, 81, 2184, 26, 784, 711, 291, 415, 630, 32, 17056, 81, 426, 438, 1665, 44, 324, 630, 32, 17056, 81, 426, 280, 622, 81, 5134, 346, 291, 813, 44, 324, 415, 2322, 32, 426, 863, 330, 566, 950, 400, 3636, 9306, 2304, 2828, 924, 26, 1014, 7915, 17056, 31, 426, 1755, 5420, 544, 4017, 308, 1270, 313, 1014, 313, 908, 3005, 7799, 769, 4756, 25, 544, 1370, 5624, 14451 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 5, 4, 5, 5, 3, 3, 5, 5, 5, 2, 2, 5, 5, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 8, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 5, 5, 8, 8, 6, 8, 8, 6, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 5, 5, 4, 4, 7, 7, 5, 7, 7, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 6, 7, 7, 7, 6, 5, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 10, 10, 10, 5, 5, 6, 6, 6, 8, 10, 11, 9, 9, 11, 11, 8, 8, 10, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 5, 5, 1, 1, 1, 2, 5, 5, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 0, 6, 6, 2, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 9, 9, 9, 9, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 11, 1, 2, 11, 11, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 13, 1, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 0, 1, 2, 2, 1, 1, 15, 1, 2, 15, 15, 1, 1, 1, 1, 2, 2, 2, 1, 2, 17, 1, 2, 17, 17, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 19, 1, 2, 19, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 21, 1, 2, 21, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 7, 7, 1, 2, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 4, 4, 4, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 1070, 638, 3415, 15348, 1188, 14346, 15348, 203, 1070, 638, 1058, 1170, 17757, 104, 1188, 13355, 1170, 17757, 104, 203, 1070, 638, 11358, 268, 1188, 46957, 268, 203, 1070, 638, 2734, 95, 659, 1188, 677, 2806, 659, 203, 1070, 638, 2734, 95, 659, 81, 87, 1188, 677, 2806, 659, 55, 203, 1070, 638, 17797, 8689, 268, 1188, 498, 481, 8689, 268, 203, 1070, 6436, 32, 4266, 1188, 2108, 265, 203, 858, 280, 2108, 265, 922, 858, 203, 11917, 280, 2108, 265, 922, 11917, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 3, 2, 2, 5, 5, 4, 0, 3, 2, 2, 5, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2244, 8688, 1240, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 638, 38860, 1188, 22509, 2551, 2214, 13976, 203, 1070, 4377, 11893, 1188, 883, 81, 1071, 81, 19013, 81, 979, 81, 699, 203, 823, 4328, 33981, 1562, 8650, 7233, 26, 13018, 2551, 2214, 13976, 30, 19205, 711, 284, 477, 17614, 284, 665, 14553, 1339, 26, 6933, 711, 291, 2599, 26, 1074, 33981, 1562, 8650, 7233, 30, 9011, 547, 23741, 1339, 346, 291, 9011, 32, 15989, 81, 496, 280, 9011, 32, 1297, 81, 496, 463, 15989, 370, 438, 81, 15989, 47, 1815, 27, 291, 9011, 32, 26362, 271, 81, 496, 280, 9011, 32, 1297, 81, 496, 463, 26362, 271, 370, 438, 81, 15989, 47, 2700, 27, 291, 9011, 32, 12800, 81, 496, 280, 2244, 8688, 1240, 346, 284, 665, 894, 81, 979, 81, 15989, 26, 784, 711, 291, 630, 32, 6549, 26, 3374, 81, 1071, 81, 19013, 81, 979, 81, 699, 26, 784, 32, 15989, 81, 496, 30, 630, 32, 15989, 81, 496, 32, 699, 490, 284, 665, 894, 81, 979, 81, 26362, 271, 26, 784, 711, 291, 630, 32, 6549, 26, 3374, 81, 1071, 81, 19013, 81, 979, 81, 699, 26, 784, 32, 26362, 271, 81, 496, 30, 630, 32, 26362, 271, 81, 496, 32, 699, 490, 284, 665, 894, 81, 979, 81, 15989, 81, 302, 81, 26362, 271, 26, 784, 711, 291, 630, 32, 6549, 26, 3374, 81, 1071, 81, 19013, 81, 979, 81, 699, 26, 784, 32, 15989, 81, 496, 30, 630, 32, 26362, 271, 81, 496, 32, 699, 490, 284, 665, 894, 81, 979, 81, 26362, 271, 81, 302, 81, 15989, 26, 784, 711, 291, 630, 32, 14846, 26, 3374, 81, 1071, 81, 19013, 81, 979, 81, 699, 26, 784, 32, 26362, 271, 81, 496, 30, 630, 32, 15989, 81, 496, 32, 699, 490, 284, 665, 894, 81, 979, 81, 4108, 81, 302, 81, 15989, 26, 784, 711, 291, 623, 630, 32, 23895, 26, 18082, 711, 324, 883, 81, 1071, 81, 19013, 81, 979, 81, 699, 26, 784, 32, 15989, 81, 496, 30, 1665, 27, 284, 665, 894, 81, 979, 81, 12800, 26, 784, 711, 291, 630, 32, 6549, 26, 3374, 81, 1071, 81, 19013, 81, 979, 81, 699, 26, 784, 32, 12800, 81, 496, 30, 630, 32, 12800, 81, 496, 32, 699, 490, 284, 665, 894, 81, 979, 81, 12800, 81, 302, 81, 26362, 271, 26, 784, 711, 291, 630, 32, 14846, 26, 3374, 81, 1071, 81, 19013, 81, 979, 81, 699, 26, 784, 32, 12800, 81, 496, 30, 630, 32, 26362, 271, 81, 496, 32, 699, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 10, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 8, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 9, 11, 11, 9, 11, 11, 10, 11, 9, 5, 5, 8, 9, 9, 9, 9, 7, 7, 9, 10, 10, 10, 9, 11, 11, 11, 9, 11, 11, 10, 11, 9, 5, 5, 8, 9, 9, 9, 7, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 11, 11, 9, 9, 11, 12, 12, 12, 10, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 11, 11, 11, 9, 9, 11, 12, 12, 12, 12, 10, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 11, 11, 9, 9, 11, 12, 12, 12, 12, 10, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 11, 11, 11, 9, 9, 11, 12, 12, 12, 10, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 10, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 11, 11, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 11, 11, 9, 9, 11, 12, 12, 12, 10, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 11, 11, 9, 9, 11, 12, 12, 12, 12, 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 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 3, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 3, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 3, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 3, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 3, 2, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 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 ]
[ 1070, 341, 385, 6455, 32, 14458, 1188, 4808, 984, 203, 465, 22045, 203, 589, 2575, 26, 1357, 30, 1789, 711, 284, 415, 1326, 32, 1959, 863, 313, 2788, 563, 291, 3636, 4808, 984, 26, 38, 34, 34, 30, 1474, 347, 1868, 1597, 646, 6272, 657, 284, 415, 646, 313, 314, 20, 328, 1326, 32, 2788, 44, 291, 3636, 4808, 984, 26, 38, 34, 34, 30, 1474, 347, 2023, 804, 657, 284, 804, 280, 1326, 32, 2788, 710, 314, 785, 284, 415, 313, 850, 20, 328, 1326, 32, 2788, 44, 291, 706, 280, 1326, 32, 1786, 32, 23392, 32, 11814, 26, 314, 27, 291, 415, 706, 438, 1665, 44, 324, 1789, 32, 470, 81, 731, 26, 38, 34, 38, 30, 313, 6953, 318, 372, 1491, 706, 646, 6305, 739, 657, 324, 442, 291, 442, 428, 440, 1777, 31, 620, 392, 313, 878, 33, 7355, 657, 614, 706, 284, 4348, 313, 15276, 20, 328, 1326, 32, 2788, 44, 291, 1326, 32, 1786, 32, 23392, 32, 11814, 26, 314, 27, 291, 442, 313, 2950, 20, 284, 4348, 313, 2560, 31, 9534, 20, 328, 1326, 32, 2788, 44, 291, 1789, 32, 2560, 81, 9534, 26, 314, 27, 291, 442, 428, 440, 1777, 31, 620, 392, 313, 878, 33, 7355, 657, 614, 313, 2950, 20, 284, 415, 313, 6946, 20, 328, 1326, 32, 2788, 44, 291, 1789, 32, 5078, 32, 470, 463, 2791, 31, 2422, 31, 6668, 31, 9009, 370, 1326, 32, 2788, 710, 6946, 3490, 291, 1789, 32, 5078, 32, 470, 463, 2791, 31, 2422, 31, 6668, 31, 10103, 370, 330, 1508, 683, 284, 46583, 280, 1326, 32, 5078, 32, 371, 440, 6946, 392, 313, 1347, 657, 284, 11078, 280, 1326, 32, 21326, 32, 2232, 26, 314, 30, 313, 1347, 657, 284, 1628, 280, 330, 26298, 280, 330, 474, 46583, 474, 330, 523, 11078, 280, 330, 474, 11078, 32, 853, 45, 284, 706, 280, 1326, 32, 1786, 32, 23392, 32, 11814, 26, 314, 27, 284, 415, 706, 438, 646, 1665, 44, 291, 1628, 280, 706, 474, 2706, 96, 20, 474, 1628, 284, 1326, 32, 1786, 32, 23392, 32, 524, 26, 314, 30, 1628, 27, 284, 415, 313, 7344, 20, 328, 1326, 32, 2788, 44, 291, 1789, 32, 1517, 280, 225, 37, 34, 36, 291, 1789, 32, 5078, 32, 470, 463, 2924, 370, 1326, 32, 2788, 710, 7344, 3490, 284, 813, 44, 291, 442, 1524, 13803, 72, 6980, 203, 34, 34, 44, 34, 34, 44, 34, 34, 32, 34, 34, 34, 1101, 225, 34, 34, 44, 34, 34, 44, 35, 34, 32, 34, 34, 34, 203, 1006, 2993, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 4, 4, 6, 6, 3, 3, 5, 7, 7, 8, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 2, 2, 3, 4, 7, 7, 5, 5, 6, 7, 3, 3, 3, 5, 7, 7, 8, 8, 8, 7, 7, 8, 10, 10, 10, 2, 2, 4, 4, 6, 7, 5, 7, 7, 2, 2, 3, 6, 6, 4, 4, 5, 6, 3, 3, 3, 6, 6, 10, 11, 9, 10, 8, 9, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 10, 10, 9, 10, 10, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 4, 4, 5, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 7, 6, 3, 3, 4, 7, 7, 5, 5, 6, 7, 4, 4, 4, 10, 11, 9, 10, 8, 9, 8, 9, 8, 5, 5, 6, 8, 8, 3, 3, 4, 7, 7, 7, 7, 5, 5, 6, 7, 4, 4, 4, 8, 9, 9, 9, 8, 9, 8, 5, 5, 6, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 8, 7, 9, 9, 2, 2, 3, 6, 6, 4, 4, 5, 6, 3, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 10, 8, 10, 10, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 8, 6, 8, 8, 2, 2, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 8, 8, 2, 2, 4, 4, 9, 9, 9, 7, 7, 6, 6, 8, 8, 8, 8, 5, 5, 6, 7, 2, 2, 2, 4, 4, 8, 9, 7, 8, 6, 7, 6, 7, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 6, 6, 8, 8, 11, 10, 7, 7, 2, 2, 7, 8, 6, 7, 5, 6, 5, 6, 5, 5, 5, 2, 2, 3, 6, 6, 4, 4, 5, 6, 3, 3, 3, 7, 8, 6, 6, 7, 7, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 7, 9, 10, 8, 10, 10, 3, 3, 4, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 4, 4, 3, 1, 2, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 3, 3, 4, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 2, 0, 2, 0, 2, 1, 1, 1, 3, 3, 1, 1, 2, 3, 3, 5, 1, 1, 1, 2, 1, 1, 2, 2, 5, 5, 5, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 4, 4, 4, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 3, 1, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 10, 1, 1, 1, 10, 10, 10, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 12, 1, 2, 1, 1, 2, 2, 12, 12, 12, 0, 2, 0, 0, 2, 2, 2, 3, 3, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 3, 1, 2, 12, 12, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 465, 5237, 203, 465, 22977, 203, 465, 13092, 203, 465, 3619, 32, 983, 203, 465, 29590, 203, 465, 16539, 203, 32474, 81, 5177, 280, 1524, 78, 203, 1070, 29947, 1188, 4705, 30, 15363, 203, 5522, 26, 284, 636, 347, 1006, 392, 284, 1503, 347, 35, 32, 34, 392, 284, 4081, 81, 1935, 347, 2116, 50, 2763, 32, 508, 392, 284, 3619, 81, 3477, 18278, 858, 3439, 284, 301, 407, 81, 3477, 111, 203, 27, 203, 2993, 203, 2399, 81, 43510, 280, 313, 407, 81, 3477, 6020, 4814, 14728, 858, 370, 10849, 11414, 858, 32, 85, 3490, 22353, 203, 50, 12408, 32, 12940, 203, 589, 1779, 81, 4652, 26, 1357, 30, 1447, 47, 2700, 711, 284, 1779, 1515, 280, 29590, 32, 4765, 86, 1433, 346, 284, 665, 3752, 2262, 291, 22977, 32, 100, 41718, 26, 1433, 1515, 27, 284, 1326, 32, 669, 3220, 2265, 26, 3507, 27, 284, 1779, 983, 280, 3619, 32, 983, 32, 1696, 26, 1433, 1515, 27, 284, 1779, 983, 32, 2524, 463, 858, 32, 978, 1814, 1821, 463, 1216, 440, 8279, 30, 5788, 657, 683, 284, 415, 1447, 44, 291, 1779, 983, 32, 2524, 463, 858, 32, 85, 1814, 1821, 3609, 1017, 333, 12332, 32, 90, 22639, 291, 4705, 81, 978, 280, 5798, 2418, 81, 5177, 32, 1643, 26, 407, 81, 3477, 47, 2399, 81, 43510, 27, 284, 813, 44, 291, 4705, 81, 978, 280, 5798, 2418, 81, 5177, 32, 1643, 26, 407, 81, 3477, 32601, 284, 1779, 983, 32, 2524, 463, 5522, 32, 978, 1814, 1821, 26, 5522, 81, 978, 27, 284, 442, 1779, 983, 203, 50, 12408, 32, 12940, 203, 589, 1779, 81, 407, 81, 4652, 26, 1357, 711, 284, 442, 1779, 81, 4652, 26, 1357, 30, 1447, 47, 1815, 27, 203, 589, 894, 81, 1536, 81, 2142, 26, 1433, 81, 4652, 711, 284, 16539, 32, 1553, 81, 1851, 2009, 3731, 32, 21823, 30, 330, 5522, 32, 978, 370, 330, 84, 2452, 81, 15668, 2188, 324, 24390, 47, 466, 26, 1433, 81, 4652, 490, 284, 1673, 81, 1515, 280, 1779, 81, 4652, 32, 2524, 463, 2452, 683, 284, 1201, 1673, 81, 1515, 32, 1553, 26, 1515, 47, 35, 27, 284, 19461, 101, 280, 1673, 81, 1515, 32, 26366, 346, 284, 1201, 2069, 26, 15668, 101, 27, 610, 225, 35, 284, 1201, 19461, 101, 77, 34, 997, 15705, 610, 330, 1006, 31, 35, 32, 34, 31, 978, 23, 101, 31, 4108, 31, 1813, 32, 35893, 25, 904, 308, 3731, 32, 1648, 77, 34, 614, 27, 284, 1201, 19461, 101, 77, 34, 997, 407, 610, 5608, 35893, 25, 203, 589, 894, 81, 18617, 81, 2142, 26, 1433, 81, 4652, 711, 284, 16539, 32, 1553, 81, 1851, 26, 291, 428, 3731, 32, 21823, 30, 330, 5522, 32, 978, 370, 330, 84, 2452, 81, 15668, 370, 11363, 2958, 31, 2142, 47, 978, 37, 36, 2188, 291, 24390, 47, 466, 26, 1433, 81, 4652, 490, 284, 1673, 81, 1515, 280, 1779, 81, 4652, 32, 2524, 463, 2452, 683, 284, 1201, 1673, 81, 1515, 32, 1553, 26, 1515, 47, 35, 27, 284, 19461, 101, 280, 1673, 81, 1515, 32, 26366, 346, 284, 1201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 4, 3, 3, 4, 5, 3, 2, 2, 6, 5, 5, 7, 8, 8, 8, 7, 3, 3, 4, 5, 4, 4, 8, 9, 9, 8, 9, 9, 8, 3, 3, 6, 7, 7, 7, 6, 7, 6, 3, 3, 6, 5, 5, 8, 9, 7, 8, 7, 8, 8, 7, 3, 3, 9, 8, 9, 8, 10, 10, 10, 10, 7, 6, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 4, 4, 4, 11, 10, 11, 10, 12, 12, 12, 12, 9, 8, 10, 10, 10, 10, 10, 10, 5, 5, 8, 8, 7, 7, 10, 10, 10, 9, 10, 9, 11, 11, 11, 10, 11, 11, 11, 9, 4, 4, 5, 5, 5, 9, 9, 8, 8, 11, 11, 11, 10, 11, 10, 12, 12, 12, 11, 3, 3, 9, 8, 9, 8, 10, 10, 10, 10, 7, 6, 7, 7, 7, 6, 3, 3, 4, 5, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 4, 6, 6, 6, 7, 6, 6, 7, 8, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 6, 6, 6, 5, 8, 7, 8, 6, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 9, 9, 9, 8, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 2, 2, 3, 6, 6, 5, 6, 5, 7, 6, 7, 5, 2, 2, 5, 4, 4, 7, 7, 6, 7, 6, 2, 2, 3, 6, 7, 7, 6, 4, 4, 5, 2, 2, 3, 7, 6, 7, 6, 6, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 9, 8, 9, 7, 8, 7, 6, 2, 2, 3, 7, 6, 7, 6, 6, 4, 4, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 6, 6, 6, 5, 5, 5, 8, 7, 8, 6, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 9, 9, 9, 8, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 2, 2, 3, 6, 6, 5, 6, 5, 7, 6, 7, 5, 2, 2, 5, 4, 4, 7, 7, 6, 7, 6, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 0, 4, 4, 0, 5, 5, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 8, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 5, 5, 5, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 5, 5, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 7, 1, 0, 0, 0, 1, 2, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 0, 10, 10, 1, 1, 1, 1, 2, 1, 1, 1, 2, 10, 10, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 4, 4, 6, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 2, 1, 1, 1, 2, 11, 11, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4 ]
[ 9592, 203, 2961, 322, 5841, 65, 2231, 56, 81, 4601, 33, 97, 28676, 81, 6270, 81, 3337, 32, 2760, 461, 6571, 322, 2568, 30, 4600, 203, 2468, 30, 5951, 30, 827, 30, 7847, 30, 17964, 8759, 30, 461, 13521, 8759, 32, 225, 4417, 10605, 15866, 203, 452, 40762, 1370, 32808, 32, 203, 10195, 1688, 1395, 2779, 6693, 372, 322, 2412, 44, 203, 1428, 44, 264, 570, 365, 17441, 43131, 34, 33, 35, 203, 2027, 44, 647, 35, 41, 36, 32, 35, 40, 32, 35, 37, 32, 35, 39, 34, 33, 36, 43, 203, 5572, 44, 264, 37, 34, 37, 43, 39, 37, 203, 620, 44, 261, 41925, 47084, 203, 9375, 44, 264, 35, 203, 8279, 44, 261, 35, 34, 203, 17563, 44, 264, 38, 34, 203, 9592, 203, 465, 316, 203, 88, 280, 2156, 6824, 65, 2231, 56, 81, 4601, 33, 97, 28676, 81, 6270, 81, 3337, 32, 2760, 683, 203, 97, 28676, 81, 2665, 280, 2149, 203, 979, 1628, 328, 296, 44, 284, 629, 88, 280, 316, 32, 1903, 26, 100, 20, 80, 13157, 24913, 438, 973, 30, 1628, 7079, 438, 973, 392, 1628, 27, 284, 415, 629, 88, 44, 291, 337, 28676, 81, 2665, 710, 1428, 785, 280, 629, 88, 32, 1363, 26, 35, 27, 284, 4749, 81, 3225, 280, 316, 32, 1903, 26, 100, 20, 21104, 8983, 20344, 29, 471, 21694, 20344, 29, 471, 12426, 6066, 392, 1628, 27, 284, 415, 4749, 81, 3225, 44, 291, 337, 28676, 81, 2665, 710, 2027, 785, 280, 4749, 81, 3225, 32, 1363, 26, 35, 27, 291, 337, 28676, 81, 2665, 710, 5572, 785, 280, 4749, 81, 3225, 32, 1363, 26, 36, 27, 284, 3984, 81, 681, 280, 316, 32, 1903, 26, 100, 392, 8159, 2768, 20344, 29, 471, 28729, 44, 20344, 29, 5715, 1628, 27, 284, 415, 3984, 81, 681, 44, 291, 337, 28676, 81, 2665, 710, 620, 785, 280, 3984, 81, 681, 32, 1363, 26, 35, 27, 291, 337, 28676, 81, 2665, 710, 9375, 785, 280, 3984, 81, 681, 32, 1363, 26, 36, 27, 284, 337, 28676, 81, 35429, 280, 316, 32, 1903, 26, 100, 20, 6421, 26374, 9577, 30, 12000, 20344, 29, 471, 38280, 20344, 29, 49, 471, 392, 1628, 27, 284, 415, 337, 28676, 81, 35429, 44, 291, 337, 28676, 81, 2665, 710, 8279, 785, 280, 337, 28676, 81, 35429, 32, 1363, 26, 35, 27, 291, 337, 28676, 81, 2665, 710, 17563, 785, 280, 337, 28676, 81, 35429, 32, 1363, 26, 36, 27, 203, 1216, 203, 1495, 81, 1174, 280, 2726, 1428, 370, 330, 2027, 370, 330, 5572, 370, 330, 620, 370, 330, 9375, 370, 330, 8279, 370, 330, 17563, 683, 203, 979, 831, 328, 1600, 81, 1174, 44, 284, 1459, 5461, 35, 34, 101, 44, 44422, 36, 34, 101, 20, 904, 308, 93, 30, 337, 28676, 81, 2665, 77, 93, 1130, 203, 1216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 3, 3, 3, 8, 8, 8, 7, 9, 9, 6, 6, 9, 8, 9, 8, 9, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 3, 3, 3, 8, 8, 8, 7, 9, 9, 6, 6, 9, 9, 8, 9, 8, 9, 8, 4, 4, 8, 8, 8, 7, 9, 9, 6, 6, 9, 9, 8, 9, 8, 9, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 3, 3, 3, 8, 8, 8, 7, 9, 9, 6, 6, 9, 9, 8, 9, 8, 9, 8, 4, 4, 8, 8, 8, 7, 9, 9, 6, 6, 9, 9, 8, 9, 8, 9, 8, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 8, 8, 8, 7, 9, 9, 6, 6, 9, 9, 9, 8, 9, 8, 9, 8, 4, 4, 8, 8, 8, 7, 9, 9, 6, 6, 9, 9, 9, 8, 9, 8, 9, 8, 0, 2, 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, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 5, 5, 7, 7, 7, 6, 7, 6, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 3, 1, 1, 3, 3, 3, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 1, 1, 5, 5, 5, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 7, 1, 1, 1, 7, 7, 7, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 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, 0, 7, 7, 7, 7, 3, 3, 7, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 3, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 42112, 653, 495, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 21, 225, 3330, 1070, 337, 1479, 32, 33810, 1107, 1188, 3927, 3092, 1031, 203, 1070, 337, 1479, 32, 1621, 1188, 11647, 30, 3319, 3289, 30, 45187, 3289, 30, 1682, 2656, 3289, 30, 8922, 7851, 30, 5548, 2905, 3289, 203, 1070, 337, 1479, 32, 878, 1188, 447, 30, 677, 30, 399, 30, 358, 30, 13630, 30, 1682, 30, 44465, 30, 1682, 2275, 30, 1682, 2656, 2275, 22787, 30, 1682, 2656, 2275, 1918, 30, 1682, 2656, 2275, 22787, 30, 14911, 203, 1070, 337, 1479, 32, 878, 1188, 5830, 30, 5830, 3050, 30, 5830, 53, 9982, 203, 1070, 337, 1479, 32, 12789, 1188, 8922, 7851, 5484, 101, 203, 1070, 337, 1479, 32, 1274, 1188, 5548, 30, 5548, 2137, 30, 5548, 2352, 30, 5548, 2905, 203, 1070, 337, 1479, 32, 3887, 1188, 7181, 30, 4361, 203, 21, 636, 47, 540, 1330, 445, 81, 431, 88, 978, 81, 2518, 81, 2763, 32, 431, 102, 920, 203, 21, 88, 21, 1447, 1427, 280, 3927, 3092, 1031, 346, 203, 1482, 313, 101, 280, 1344, 1427, 32, 3481, 203, 8090, 2275, 280, 11647, 26, 426, 347, 8090, 392, 13872, 347, 11667, 657, 203, 433, 32, 40682, 26, 8090, 2275, 27, 203, 1031, 3050, 2275, 280, 11647, 26, 426, 347, 1031, 81, 36, 34, 81, 1548, 392, 5065, 347, 11667, 392, 2935, 27806, 24778, 1057, 8090, 370, 2503, 426, 347, 1031, 3361, 657, 203, 433, 407, 3050, 2275, 32, 40682, 26, 23269, 3289, 26, 95, 626, 410, 520, 347, 34, 266, 392, 3295, 3462, 347, 34, 32, 34, 42, 37, 39, 266, 2131, 203, 101, 32, 40682, 26, 1031, 3050, 2275, 27, 203, 21, 313, 878, 1427, 32, 2186, 1161, 4214, 101, 32, 40682, 1162, 3713, 7851, 26, 426, 347, 20401, 392, 2186, 5065, 347, 20401, 392, 203, 2186, 5065, 9947, 347, 1586, 2660, 392, 2186, 20533, 347, 4502, 14036, 203, 21, 588, 313, 35, 1621, 280, 11647, 26, 426, 347, 66, 35, 392, 13872, 347, 11667, 392, 2935, 27806, 24778, 347, 8090, 392, 1149, 27806, 24778, 347, 62, 35, 657, 203, 878, 1427, 32, 32527, 3481, 32, 40682, 26, 66, 35, 1621, 27, 203, 21, 313, 618, 274, 47, 720, 2275, 26, 426, 347, 62, 35, 657, 203, 21, 1044, 25, 730, 35, 280, 1682, 2656, 2275, 22787, 26, 2649, 347, 35, 392, 45213, 24778, 347, 1918, 299, 81, 36, 34, 81, 19898, 392, 1929, 12420, 347, 4414, 26285, 1594, 47, 103, 10255, 103, 36, 34, 36, 36, 683, 203, 62, 35, 4641, 35, 280, 1682, 2656, 3289, 26, 1166, 5553, 347, 34, 32, 36, 39, 266, 392, 1847, 1172, 1644, 347, 34, 32, 36, 39, 266, 657, 203, 18550, 35, 32, 40682, 26, 62, 35, 4641, 35, 27, 203, 62, 35, 1621, 32, 40682, 26, 18550, 35, 27, 203, 878, 1427, 32, 32527, 3481, 32, 40682, 26, 62, 35, 1621, 27, 203, 21, 447, 40, 203, 1621, 280, 11647, 26, 426, 347, 66, 40, 392, 13872, 347, 11667, 392, 2935, 27806, 24778, 347, 8090, 392, 1149, 27806, 24778, 347, 62, 39, 657, 203, 878, 1427, 32, 32527, 3481 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 3, 1, 3, 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, 1, 1, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 3, 3, 3, 3, 0, 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, 3, 3, 2, 4, 4, 6, 5, 7, 7, 6, 5, 7, 7, 4, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 2, 4, 4, 6, 5, 7, 7, 7, 7, 7, 7, 7, 6, 5, 7, 7, 6, 6, 6, 5, 7, 7, 6, 6, 5, 7, 7, 7, 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, 0, 4, 4, 4, 4, 4, 4, 4, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 2, 5, 5, 5, 2, 2, 1, 3, 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, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 3, 0, 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, 1, 1, 1, 1, 0, 3, 3, 3, 2, 4, 4, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 4, 4, 3, 4, 4, 4, 3, 0, 1, 1, 1, 3, 2, 4, 4, 6, 5, 7, 7, 7, 6, 5, 7, 7, 6, 6, 6, 5, 7, 7, 6, 6, 6, 5, 7, 7, 7, 4, 5, 5, 5, 5 ]
[ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 2, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 2, 5, 0, 0, 0, 0, 0, 6, 6, 0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 2, 7, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 3, 1, 2, 1, 12, 12, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 1, 2, 0, 0, 0, 5, 1, 2, 0, 0, 7, 1, 1, 2, 1, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 0, 0, 0, 0, 1, 1, 2, 0, 0, 18, 1, 18, 18, 0, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 0, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 3, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 27, 27, 27, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 3, 1, 2, 0, 0, 0, 5, 1, 2, 0, 0, 0, 7, 0, 1, 2, 1, 0, 0, 0, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 330, 1517, 950, 3037, 8687, 3439, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 485, 2219, 81, 696, 3483, 81, 1160, 81, 1338, 203, 2310, 44, 203, 31, 570, 3790, 3099, 436, 570, 2955, 3678, 203, 4021, 81, 2310, 44, 570, 3790, 3099, 436, 570, 2955, 3678, 203, 1648, 81, 11043, 44, 330, 36, 32, 43, 25, 203, 2116, 44, 6597, 6355, 32, 11931, 2175, 3209, 5134, 27, 203, 15965, 44, 203, 31, 4262, 2377, 225, 36, 32, 40, 203, 31, 5167, 2377, 225, 36, 32, 35, 42, 32, 38, 203, 31, 9270, 31, 2393, 2377, 225, 35, 32, 37, 32, 34, 203, 2184, 44, 334, 2074, 44, 284, 3048, 44, 284, 429, 886, 6597, 7578, 11325, 2074, 372, 793, 32, 284, 827, 44, 596, 334, 3796, 81, 5462, 44, 284, 3048, 44, 284, 429, 886, 827, 432, 20217, 1654, 32, 284, 827, 44, 596, 284, 2129, 44, 861, 284, 16682, 44, 284, 429, 3022, 284, 429, 6652, 3524, 284, 429, 2719, 3524, 334, 2719, 81, 3524, 81, 8078, 44, 284, 3048, 44, 284, 429, 886, 7299, 432, 312, 4851, 9035, 3398, 803, 30, 3154, 328, 312, 9473, 556, 619, 312, 397, 3398, 802, 688, 10666, 561, 32, 284, 827, 44, 2361, 626, 334, 2719, 81, 3524, 81, 761, 44, 284, 3048, 44, 284, 429, 886, 1519, 432, 312, 4851, 9035, 3398, 803, 415, 2719, 3524, 438, 4324, 619, 827, 32, 284, 827, 44, 1519, 334, 2719, 81, 3524, 81, 1935, 44, 284, 3048, 44, 284, 429, 2244, 5302, 2719, 3497, 4096, 2965, 415, 6652, 3524, 438, 4324, 461, 397, 322, 1256, 1957, 646, 15853, 372, 793, 322, 1244, 4096, 32, 284, 827, 44, 596, 334, 25353, 44, 284, 3048, 44, 284, 429, 2629, 432, 25353, 372, 526, 1654, 284, 827, 44, 1149, 334, 4533, 81, 681, 44, 284, 3048, 44, 284, 429, 19009, 1510, 35603, 4706, 844, 4484, 3974, 458, 2297, 4797, 32, 284, 429, 1348, 1395, 646, 526, 739, 7351, 844, 3702, 2769, 844, 4484, 8113, 32, 284, 429, 1348, 1755, 743, 5725, 322, 2680, 14225, 802, 436, 1346, 2330, 5167, 32, 284, 827, 44, 596, 203, 8886, 44, 203, 31, 436, 9156, 30, 844, 883, 739, 2719, 81, 3524, 81, 761, 1471, 322, 281, 26, 32597, 81, 2122, 81, 3524, 81, 761, 27, 334, 4533, 2677, 32, 203, 31, 436, 9156, 30, 844, 883, 739, 2719, 81, 3524, 81, 8078, 1471, 322, 281, 26, 36659, 81, 12744, 81, 19846, 81, 42146, 27, 334, 4533, 2677, 32, 203, 31, 2616, 9156, 30, 844, 883, 739, 2719, 81, 3524, 81, 1935, 1471, 322, 390, 26, 36659, 81, 12744, 81, 19846, 81, 17945, 27, 334, 4533, 2677, 32, 203, 31, 2616, 9156, 30, 844, 883, 739, 3796, 81, 5462, 1471, 322, 390, 26, 36659, 81, 9036, 81, 31521, 27, 4533, 2677, 32, 203, 31, 2616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 6, 6, 4, 7, 7, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7138, 203, 465, 10245, 203, 1070, 44524, 1188, 44524, 203, 1070, 8527, 32, 1262, 32, 34243, 32, 2958, 1188, 36415, 619, 4865, 7262, 203, 1070, 8527, 32, 1262, 32, 34243, 32, 2958, 1188, 19427, 2265, 619, 4865, 21095, 203, 1070, 8527, 32, 2304, 1188, 7138, 81, 4770, 203, 1070, 8527, 32, 2304, 1188, 4281, 1260, 203, 823, 36415, 26, 8312, 7262, 711, 284, 3568, 81, 539, 81, 2585, 280, 3177, 284, 665, 943, 81, 17867, 26, 784, 711, 291, 630, 32, 2184, 32, 3235, 463, 2238, 370, 1665, 27, 291, 630, 32, 2184, 32, 3235, 463, 4151, 370, 1665, 27, 291, 630, 32, 2184, 32, 3235, 463, 539, 81, 28997, 81, 3494, 370, 1665, 27, 291, 4281, 1260, 32, 5937, 26, 784, 32, 5740, 30, 630, 32, 2238, 30, 9011, 47, 36115, 3265, 8770, 30, 1115, 784, 32, 2184, 27, 284, 665, 622, 853, 26, 784, 711, 291, 415, 20695, 26, 32110, 26, 784, 32, 2238, 30, 330, 371, 853, 370, 1665, 8531, 324, 442, 630, 32, 2238, 32, 371, 853, 346, 203, 589, 19427, 2265, 26, 2238, 81, 271, 81, 800, 30, 1115, 2184, 711, 284, 415, 6937, 26, 2238, 81, 271, 81, 800, 30, 1695, 800, 711, 291, 3443, 280, 44524, 26, 2238, 81, 271, 81, 800, 27, 284, 813, 44, 291, 3443, 280, 3443, 81, 271, 81, 800, 284, 436, 2830, 328, 4865, 21095, 26, 6656, 1260, 32, 944, 26, 2238, 471, 1115, 2184, 711, 291, 6761, 2830, 203, 823, 18297, 3265, 8770, 26, 6656, 1260, 32, 3265, 8770, 711, 284, 23742, 81, 9302, 280, 5461, 75, 9299, 95, 9299, 86, 20, 284, 16739, 81, 9302, 280, 5461, 58, 6069, 63, 6069, 69, 20, 284, 665, 1244, 26, 784, 30, 337, 711, 291, 415, 6937, 26, 97, 30, 7138, 32, 6665, 711, 324, 343, 280, 7138, 81, 4770, 32, 890, 81, 6665, 26, 97, 27, 324, 442, 343, 32, 20834, 4912, 101, 904, 101, 20, 904, 308, 784, 32, 5241, 81, 9302, 30, 630, 32, 4804, 81, 9302, 490, 291, 4348, 6937, 26, 97, 30, 7138, 32, 770, 711, 324, 343, 280, 7138, 81, 4770, 32, 890, 81, 770, 26, 97, 27, 324, 442, 343, 32, 20834, 26, 784, 32, 5241, 81, 9302, 27, 291, 4348, 6937, 26, 97, 30, 7138, 32, 1003, 711, 324, 442, 337, 32, 20834, 26, 784, 32, 4804, 81, 9302, 27, 291, 4348, 6937, 26, 97, 30, 10245, 32, 7697, 711, 324, 442, 596, 26, 97, 27, 291, 813, 44, 324, 442, 2599, 26, 36115, 3265, 8770, 30, 630, 547, 1536, 26, 97, 27, 203, 4852, 19854, 3265, 8770, 280, 18297, 3265, 8770, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 4, 2, 2, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 7, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 7, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 8, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 9, 9, 7, 7, 10, 9, 10, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 9, 11, 10, 11, 9, 9, 11, 11, 11, 9, 9, 5, 5, 7, 10, 11, 9, 10, 10, 9, 0, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 4, 2, 1, 1, 3, 5, 6, 6, 6, 6, 6, 5, 5, 6, 5, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 3, 3, 4, 4, 4, 7, 7, 8, 8, 8, 8, 2, 2, 3, 3, 3, 5, 5, 8, 8, 7, 8, 7, 8, 7, 5, 7, 5, 3, 3, 6, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 8, 9, 7, 5, 5, 8, 8, 11, 11, 10, 11, 11, 11, 10, 11, 10, 6, 6, 7, 9, 10, 9, 12, 12, 12, 12, 10, 10, 13, 12, 13, 13, 13, 11, 11, 12, 13, 13, 13, 11, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 9, 9, 12, 12, 11, 12, 12, 12, 11, 12, 11, 7, 7, 8, 10, 11, 10, 12, 11, 12, 12, 12, 10, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 10, 11, 10, 12, 11, 12, 12, 12, 10, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 10, 11, 10, 5, 5, 6, 6, 6, 8, 12, 13, 13, 13, 12, 12, 12, 11, 10, 11, 10, 0, 3, 3, 3, 3, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 3, 3, 2, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 3, 3, 2, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 2, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 1, 0, 1, 2, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 8, 8, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 9, 9, 1, 1, 2, 0, 0, 1, 2, 2, 2, 9, 9, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 0, 0, 4, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 5, 1, 1, 1, 1, 3, 2, 1, 5, 5, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 6, 1, 1, 1, 1, 3, 2, 1, 6, 6, 0, 1, 1, 1, 0, 0, 7, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 7138, 203, 465, 2322, 203, 465, 5624, 203, 465, 3995, 203, 465, 22977, 203, 465, 6234, 203, 465, 5237, 203, 465, 1133, 203, 1070, 28520, 32, 4275, 1188, 35603, 2031, 924, 203, 1070, 28520, 32, 4538, 1188, 10070, 203, 1070, 28520, 32, 5558, 1188, 2297, 81, 4554, 203, 1070, 28520, 32, 2304, 32, 3515, 81, 8239, 1188, 1420, 81, 3515, 203, 823, 15786, 8453, 26, 8453, 711, 284, 5881, 1340, 16980, 28520, 1544, 31, 35003, 9195, 9592, 284, 4040, 81, 26942, 81, 2319, 280, 330, 2912, 25, 284, 4040, 81, 9994, 26791, 280, 330, 1696, 32, 7070, 25, 284, 447, 9659, 26791, 81, 44842, 280, 301, 276, 35, 44, 330, 974, 1957, 646, 2307, 370, 276, 36, 44, 330, 974, 438, 646, 18970, 25, 284, 320, 284, 47729, 1345, 81, 26942, 81, 43510, 280, 2107, 2912, 785, 284, 665, 3185, 26, 784, 711, 291, 5881, 1487, 600, 2075, 4118, 436, 7395, 33, 19441, 5881, 291, 630, 32, 3922, 280, 10070, 32, 1439, 81, 3922, 26, 324, 6886, 31197, 15446, 333, 2035, 31, 5607, 48, 428, 2184, 16249, 324, 5008, 81, 6363, 47, 1815, 30, 324, 27781, 81, 6363, 47, 1815, 30, 324, 540, 574, 912, 81, 6363, 47, 1815, 30, 324, 17272, 81, 6363, 47, 1815, 30, 324, 17041, 81, 6363, 47, 1815, 30, 324, 2297, 81, 6363, 47, 1815, 30, 291, 829, 291, 630, 32, 3922, 32, 669, 81, 1762, 12664, 35161, 370, 1244, 47, 2700, 30, 2125, 1057, 2157, 81, 1508, 370, 3049, 1057, 35161, 18099, 2685, 4654, 2609, 1420, 683, 291, 630, 32, 3922, 32, 669, 81, 1762, 12605, 97, 370, 11363, 2585, 31, 325, 31, 8968, 370, 3466, 1057, 325, 8968, 370, 1244, 47, 2700, 30, 2125, 1057, 2157, 81, 1508, 370, 324, 3049, 1057, 2585, 1420, 322, 4654, 2609, 415, 322, 5338, 1401, 2583, 4459, 683, 291, 630, 32, 3922, 32, 669, 81, 1762, 12605, 101, 370, 11363, 7840, 370, 3466, 1057, 7840, 370, 1244, 47, 2521, 30, 324, 3049, 1057, 7840, 436, 3995, 7898, 308, 12524, 225, 34, 461, 310, 1451, 432, 6791, 27, 2670, 8049, 32, 1348, 438, 312, 6364, 3352, 372, 1214, 462, 277, 5554, 5167, 683, 291, 630, 32, 3922, 32, 669, 81, 1762, 12605, 88, 370, 11363, 5538, 370, 3466, 1057, 5538, 370, 1244, 47, 2700, 30, 2125, 1057, 2157, 81, 1508, 370, 324, 3049, 1057, 1945, 322, 4654, 2609, 4444, 415, 322, 5338, 3065, 646, 526, 4459, 683, 291, 630, 32, 3922, 32, 669, 81, 1762, 12605, 86, 370, 11363, 5660, 370, 3466, 1057, 3316, 370, 1244, 47, 2521, 30, 3049, 1057, 5660, 372, 18099, 5338, 372, 683, 291, 630, 32, 3922, 32, 669, 81, 1762, 12605, 71, 370, 11363, 965, 370, 3466, 1057, 965, 370, 1244, 47, 2521, 30, 3049, 1057, 2413, 432, 322, 4654, 2609, 5338, 683, 291, 630, 32, 3922, 32, 669, 81, 1762, 12605, 53, 370, 11363, 15199, 370, 3466, 1057, 15199, 370, 324, 3049, 1057, 6586, 33, 2142, 33, 3375, 372, 18099, 32, 225, 330, 330, 14490, 372, 5853, 432, 5338, 2297, 11834, 291, 630, 32, 3922, 32, 669, 81, 1762, 12664, 7494, 31, 2035 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 5, 7, 6, 6, 8, 8, 8, 8, 8, 5, 7, 6, 6, 8, 8, 8, 8, 8, 5, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 7, 8, 9, 7, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 8, 10, 10, 10, 7, 8, 9, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 7, 8, 9, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 7, 8, 9, 7, 7, 8, 10, 10, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 7, 8, 9, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 7, 7, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9 ]
[ 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, 1, 2, 8, 8, 0, 0, 0, 9, 9, 1, 2, 9, 9, 0, 10, 10, 1, 2, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 4, 4, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 2, 12, 12, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 5, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 1, 0, 0, 0, 0, 7, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 1, 0, 0, 11, 2, 1, 1, 1, 0, 0, 13, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 1, 1, 2, 1, 7, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 2, 1, 7, 2, 1, 1, 9, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 1, 7, 2, 1, 1, 1, 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, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 1, 7, 2, 1, 1, 9, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 1, 7, 2, 1, 1, 9, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 1, 7, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 337, 18321, 81, 10799, 203, 4021, 81, 2310, 44, 313, 2459, 372, 11856, 13662, 13665, 25282, 101, 328, 337, 35943, 33, 68, 21057, 20, 203, 1648, 81, 11043, 44, 313, 36, 32, 37, 20, 203, 2116, 44, 313, 65, 1442, 1691, 488, 867, 560, 93, 11931, 31982, 560, 93, 6257, 1691, 4731, 203, 2310, 44, 284, 429, 313, 2459, 372, 11856, 13662, 13665, 25282, 101, 328, 337, 35943, 33, 68, 21057, 20, 203, 2184, 44, 284, 10426, 81, 314, 44, 291, 3048, 44, 324, 429, 313, 779, 432, 322, 10426, 372, 11856, 3107, 284, 8508, 81, 426, 44, 291, 3048, 44, 324, 429, 313, 558, 432, 322, 13662, 13665, 372, 11856, 3107, 291, 2129, 44, 861, 284, 1603, 44, 291, 3048, 44, 324, 429, 313, 6469, 322, 13662, 13665, 10426, 526, 11309, 33, 2689, 33, 3596, 304, 3107, 291, 16682, 44, 2107, 11243, 370, 330, 2689, 370, 330, 3596, 304, 785, 291, 1244, 44, 5024, 284, 3048, 44, 291, 3048, 44, 324, 429, 313, 3234, 432, 322, 10426, 3107, 284, 793, 81, 5566, 44, 291, 3048, 44, 324, 429, 313, 2797, 439, 26, 1508, 27, 461, 390, 26, 1293, 27, 438, 439, 26, 2689, 27, 4131, 4117, 432, 322, 13662, 3083, 13665, 415, 561, 1182, 3974, 3107, 324, 429, 313, 2797, 439, 26, 1508, 27, 461, 390, 26, 1293, 27, 438, 439, 26, 11243, 27, 11309, 4117, 432, 322, 3083, 13662, 13665, 3107, 324, 429, 313, 5217, 688, 13662, 13665, 1098, 526, 33646, 2218, 17093, 322, 4117, 3107, 291, 20664, 44, 324, 429, 313, 11243, 81, 5566, 20, 324, 429, 313, 2853, 81, 5566, 20, 291, 827, 44, 1560, 284, 4986, 81, 6124, 81, 1455, 44, 291, 3048, 44, 324, 429, 313, 1918, 432, 6935, 2685, 1510, 1395, 10426, 526, 8128, 3107, 324, 429, 313, 1011, 1098, 1505, 1169, 31653, 432, 3501, 6652, 461, 3066, 3026, 30, 415, 2953, 884, 17410, 3107, 291, 1503, 81, 11043, 44, 313, 36, 32, 42, 20, 203, 8886, 44, 284, 429, 313, 5217, 688, 2876, 312, 21578, 7669, 322, 706, 544, 322, 3272, 10426, 1631, 526, 1568, 38981, 3107, 284, 429, 313, 36595, 312, 10426, 1957, 646, 3345, 1346, 2471, 645, 322, 3501, 1568, 6652, 429, 561, 9639, 20080, 312, 442, 31, 1493, 32, 8746, 30, 6109, 8696, 312, 3501, 1568, 6652, 645, 312, 10426, 31405, 1346, 1795, 688, 1597, 6638, 372, 322, 1568, 3501, 6652, 2685, 322, 1133, 322, 10426, 1597, 11508, 3107, 203, 9971, 81, 10270, 81, 9854, 44, 337, 18321, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 21, 15950, 2800, 1330, 4799, 3796, 3395, 436, 45282, 30, 203, 21, 2779, 821, 337, 18321, 81, 2393, 2297, 372, 2318, 2624, 372, 23261, 9156, 44, 203, 21, 2648, 10426, 44, 203, 31, 337, 18321, 81, 10799, 44, 284, 8508, 81, 426, 44, 540, 2542, 41, 284, 3048, 44, 4300, 7348, 334, 3909, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 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 ]
[ 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, 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 ]
[ 1070, 8527, 32, 858, 32, 2304, 1188, 2684, 81, 3550, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8419, 1396, 32, 4882, 32, 8774, 1188, 10653, 38935, 7233, 203, 1070, 8419, 1396, 32, 4882, 32, 1647, 2157, 81, 1163, 1188, 5895, 81, 4601, 81, 35919, 1345, 81, 6719, 792, 4128, 9069, 203, 1070, 9525, 32, 9715, 1188, 22509, 27355, 4539, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 11025, 81, 2304, 1188, 7703, 2780, 7233, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11025, 1188, 2297, 2157, 30, 4233, 81, 12724, 81, 1647, 26231, 203, 50, 7106, 81, 3550, 26, 6719, 792, 4128, 9069, 47, 3765, 81, 4601, 81, 35919, 1345, 81, 6719, 792, 4128, 9069, 27, 203, 823, 2108, 383, 2647, 13043, 25294, 7495, 17799, 26, 2459, 2780, 7233, 30, 10653, 38935, 7233, 711, 284, 5881, 284, 3456, 436, 5822, 432, 11412, 284, 5881, 284, 665, 14553, 26, 784, 711, 291, 4233, 81, 12724, 81, 1647, 26231, 346, 291, 630, 32, 40376, 280, 2297, 2157, 922, 371, 81, 7632, 440, 318, 74, 33, 40376, 33, 36, 34, 35, 36, 81, 38206, 657, 291, 630, 32, 8397, 280, 330, 1071, 50, 858, 32, 508, 25, 291, 630, 32, 266, 2647, 280, 330, 1071, 36, 50, 858, 32, 508, 25, 291, 630, 32, 2895, 280, 330, 3986, 25, 291, 630, 32, 1297, 81, 3524, 463, 103, 35, 370, 630, 32, 8397, 30, 630, 32, 2895, 27, 291, 630, 32, 1297, 81, 3524, 463, 103, 36, 370, 630, 32, 266, 2647, 30, 630, 32, 2895, 27, 291, 630, 32, 11432, 81, 496, 26, 784, 32, 8397, 27, 291, 630, 32, 11432, 81, 496, 26, 784, 32, 266, 2647, 27, 291, 22509, 27355, 4539, 26, 784, 32, 40376, 32, 2645, 547, 669, 81, 3707, 26, 1240, 32, 5740, 32, 371, 26, 1935, 47, 784, 32, 266, 2647, 490, 291, 630, 32, 12646, 346, 291, 630, 32, 3615, 26, 784, 32, 266, 2647, 30, 630, 32, 2895, 27, 291, 630, 32, 44513, 26, 784, 32, 40376, 27, 284, 665, 894, 81, 4984, 81, 4944, 101, 81, 4700, 26, 784, 711, 291, 8419, 280, 630, 32, 40376, 291, 1984, 280, 10156, 463, 266, 2647, 81, 7854, 81, 18244, 370, 10306, 12516, 7632, 81, 314, 950, 8419, 32, 314, 1748, 291, 3124, 280, 313, 965, 280, 301, 34, 4104, 96, 2296, 1643, 26, 965, 27, 291, 1789, 280, 630, 32, 1580, 32, 1526, 26, 965, 30, 5053, 1141, 950, 330, 7495, 15599, 432, 1169, 9525, 2914, 6923, 436, 458, 8419, 18143, 291, 3124, 1454, 313, 266, 2647, 14237, 5822, 11412, 2914, 6923, 44, 1789, 280, 8930, 34, 8129, 78, 96, 2296, 1643, 26, 1986, 27, 291, 630, 32, 5299, 26, 1986, 710, 1777, 31, 620, 2188, 330, 878, 33, 4700, 370, 3124, 27, 291, 281, 18575, 280, 1789, 710, 1777, 31, 30663, 785, 291, 3124, 1454, 313, 1777, 31, 30663, 280, 6611, 101, 10255, 96, 20, 904, 281, 18575, 291, 630, 32, 5299, 26, 85, 18575, 30, 330, 13382, 45, 4870 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 4, 4, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 5, 5, 8, 9, 7, 7, 11, 11, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 7, 7, 9, 9, 5, 5, 8, 9, 9, 9, 8, 10, 10, 10, 8, 9, 10, 8, 8, 9, 10, 8, 5, 5, 8, 9, 9, 9, 8, 10, 10, 10, 8, 9, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 9, 9, 9, 8, 10, 9, 10, 8, 5, 5, 8, 9, 9, 9, 8, 10, 9, 10, 10, 8, 5, 5, 10, 10, 10, 13, 12, 13, 11, 12, 10, 9, 9, 9, 8, 12, 11, 12, 10, 11, 10, 12, 11, 13, 12, 13, 13, 10, 5, 5, 8, 9, 8, 5, 5, 8, 9, 8, 10, 9, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 9, 8, 10, 9, 10, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 8, 9, 5, 5, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 9, 10, 14, 14, 14, 14, 12, 13, 14, 11, 5, 5, 7, 7, 11, 11, 11, 11, 11, 12, 11, 10, 9, 10, 9, 5, 5, 7, 7, 10, 11, 9, 10, 9, 10, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 5, 5, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 11, 10, 9, 10, 9, 5, 5, 8, 9, 8, 10, 9, 11, 11, 11, 11, 8, 10, 10, 10, 10, 8, 8, 5, 5, 8, 7, 7, 8, 10, 10, 10, 10, 5, 5, 7, 7, 10, 10, 10, 10, 10, 10, 10, 11, 10, 8, 8, 9, 5, 5, 8, 9, 8, 9, 9, 8, 8, 12, 12, 12 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 2, 1, 4, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 15798, 203, 1070, 23332, 81, 1040, 1188, 308, 284, 1709, 426, 30, 11910, 5916, 30, 10945, 2797, 5441, 558, 30, 3927, 5916, 27, 203, 823, 44273, 1733, 1006, 26, 18986, 32, 7233, 711, 334, 665, 894, 1339, 426, 26, 784, 711, 284, 630, 32, 4983, 463, 10966, 370, 1709, 426, 463, 11893, 2847, 284, 630, 32, 4983, 463, 2333, 1934, 1318, 37724, 370, 291, 1709, 426, 463, 1877, 1934, 1318, 37724, 2847, 284, 630, 32, 4983, 463, 36705, 81, 37810, 81, 31233, 370, 1709, 426, 463, 2321, 32, 2882, 32, 1152, 2847, 334, 665, 894, 5916, 10367, 26, 784, 711, 284, 630, 32, 4983, 463, 2011, 9214, 301, 370, 2855, 3927, 5916, 463, 3986, 1814, 3121, 1157, 284, 630, 32, 4983, 463, 111, 225, 434, 3583, 9214, 370, 2855, 11910, 5916, 463, 3986, 1814, 3121, 1157, 284, 630, 32, 4983, 26, 291, 330, 2011, 11581, 6913, 96, 25, 291, 330, 2011, 9214, 301, 370, 291, 3927, 5916, 463, 9081, 403, 3986, 1814, 3121, 1157, 284, 630, 32, 4983, 26, 291, 24973, 225, 434, 3583, 9214, 78, 96, 25, 291, 24973, 225, 434, 3583, 11581, 370, 291, 11910, 5916, 463, 9081, 403, 3986, 1814, 3121, 1157, 284, 630, 32, 4983, 26, 291, 330, 2011, 11581, 6913, 96, 25, 291, 330, 2011, 4479, 6913, 96, 25, 291, 330, 2011, 4125, 301, 370, 291, 3927, 5916, 463, 9081, 403, 2518, 403, 1237, 1814, 3121, 1157, 284, 630, 32, 4983, 26, 291, 24973, 225, 434, 3583, 4125, 78, 96, 25, 291, 24973, 225, 434, 3583, 4479, 78, 96, 25, 291, 24973, 225, 434, 3583, 11581, 370, 291, 11910, 5916, 463, 9081, 403, 2518, 403, 1237, 1814, 3121, 1157, 284, 630, 32, 4983, 26, 291, 330, 2011, 11581, 6913, 96, 25, 291, 330, 2011, 4479, 6913, 96, 25, 291, 330, 2011, 4125, 6913, 96, 25, 291, 330, 2011, 9214, 301, 370, 291, 3927, 5916, 463, 9081, 403, 2518, 403, 1237, 403, 3986, 1814, 3121, 1157, 284, 630, 32, 4983, 26, 291, 24973, 225, 434, 3583, 9214, 78, 96, 25, 291, 24973, 225, 434, 3583, 4125, 78, 96, 25, 291, 24973, 225, 434, 3583, 4479, 78, 96, 25, 291, 24973, 225, 434, 3583, 11581, 370, 291, 11910, 5916, 463, 9081, 403, 2518, 403, 1237, 403, 3986, 1814, 3121, 1157, 334, 665, 894, 10505, 2797, 5441, 558, 26, 784, 711, 284, 630, 32, 4983, 463, 39275, 81, 13496, 81, 6794, 76, 81, 58, 505, 370, 10945, 2797, 5441, 558, 463, 3986, 1736, 1632, 1736, 12448, 32, 90, 2847, 284, 630, 32, 4983, 463, 39275, 81, 13496, 81, 6794, 76, 81, 58, 505, 370, 10945, 2797, 5441, 558, 463, 3986, 33, 1632, 33, 12448, 32, 90, 2847, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 15798, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 7, 9, 9, 11, 11, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 11, 11, 11, 11, 11, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 7, 7, 11, 11, 13, 13, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 11, 11, 13, 13, 10, 9, 4, 4, 7, 8, 7, 7, 7, 10, 10, 10, 11, 10, 8, 8, 10, 10, 10, 10, 7, 7, 11, 11, 13, 13, 13, 13, 10, 9, 4, 4, 7, 8, 7, 7, 7, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 10, 10, 10, 10, 7, 7, 11, 11, 13, 13, 13, 13, 10, 9, 4, 4, 7, 8, 7, 7, 7, 10, 10, 10, 11, 10, 8, 8, 10, 10, 10, 11, 10, 8, 8, 10, 10, 10, 10, 7, 7, 11, 11, 13, 13, 13, 13, 13, 13, 10, 9, 4, 4, 7, 8, 7, 7, 7, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 10, 10, 10, 10, 7, 7, 11, 11, 13, 13, 13, 13, 13, 13, 10, 9, 4, 4, 7, 8, 7, 7, 7, 10, 10, 10, 11, 10, 8, 8, 10, 10, 10, 11, 10, 8, 8, 10, 10, 10, 11, 10, 8, 8, 10, 10, 10, 10, 7, 7, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 9, 4, 4, 7, 8, 7, 7, 7, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 10, 10, 10, 10, 7, 7, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 11, 12, 11, 12, 11, 11, 11, 11, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1933, 203, 465, 17787, 203, 465, 11685, 203, 465, 6436, 619, 2065, 203, 1070, 18414, 1188, 22508, 203, 1070, 638, 6173, 101, 1188, 18792, 203, 823, 22505, 11117, 5711, 26, 1240, 5711, 711, 284, 3097, 203, 589, 7892, 26, 28978, 30, 10061, 47, 1815, 711, 284, 37993, 81, 681, 280, 827, 26, 28978, 27, 284, 415, 37993, 81, 681, 328, 308, 668, 30, 8825, 30, 739, 30, 20073, 470, 711, 291, 442, 37993, 81, 681, 2009, 6358, 26, 87, 30, 10061, 47, 4770, 27, 436, 484, 328, 37993, 1130, 284, 4348, 646, 19326, 26, 28978, 30, 330, 371, 81, 2132, 7831, 291, 415, 646, 10061, 44, 324, 442, 1933, 32, 34003, 26, 28978, 27, 291, 813, 44, 324, 3636, 12678, 440, 11394, 7892, 1300, 6611, 101, 25, 308, 681, 904, 101, 711, 313, 1014, 313, 283, 1957, 646, 11911, 372, 526, 312, 2197, 23168, 31, 7741, 37993, 313, 1014, 313, 302, 561, 1957, 646, 2054, 312, 330, 371, 81, 2132, 25, 4438, 3107, 1014, 904, 308, 13707, 26, 28978, 471, 827, 26, 28978, 2610, 284, 11595, 280, 37993, 3667, 823, 505, 284, 537, 81, 1473, 81, 2132, 280, 37993, 32, 371, 81, 2132, 26, 8327, 47, 2700, 27, 284, 436, 636, 30, 4356, 328, 18792, 32, 40957, 26, 890, 81, 1473, 81, 2132, 711, 291, 537, 81, 1473, 81, 2132, 77, 426, 79, 280, 7892, 26, 753, 30, 10061, 47, 2700, 27, 284, 537, 81, 1473, 280, 11595, 14605, 890, 81, 1473, 81, 2132, 27, 284, 2803, 81, 470, 280, 537, 81, 1473, 32, 371, 81, 2132, 26, 8327, 47, 2700, 27, 284, 436, 636, 328, 537, 81, 1473, 81, 2132, 44, 291, 4356, 35, 280, 537, 81, 1473, 81, 2132, 77, 426, 79, 291, 4356, 36, 280, 2803, 81, 470, 77, 426, 79, 291, 415, 6937, 26, 753, 35, 30, 2065, 32, 16771, 711, 324, 415, 646, 6937, 26, 753, 36, 30, 827, 26, 753, 35, 8531, 400, 28599, 81, 858, 280, 3177, 324, 4348, 308, 753, 35, 32, 29704, 848, 225, 34, 528, 461, 4356, 35, 32, 3229, 77, 34, 79, 848, 225, 34, 528, 461, 6937, 26, 753, 36, 30, 2065, 32, 16771, 27, 528, 461, 4356, 36, 32, 29704, 848, 225, 34, 528, 461, 4356, 36, 32, 3229, 77, 34, 79, 848, 225, 34, 711, 400, 28599, 81, 858, 280, 308, 528, 4356, 35, 32, 3229, 610, 4356, 36, 32, 3229, 528, 461, 4356, 35, 32, 12010, 610, 4356, 36, 32, 12010, 528, 461, 4356, 35, 32, 6849, 77, 34, 79, 610, 4356, 36, 32, 6849, 77, 34, 79, 528, 461, 4356, 35, 32, 6849, 6448, 35, 79, 610, 4356, 36, 32, 6849, 6448, 35, 79, 400, 829, 324, 813, 44, 400, 28599, 81, 858, 280, 2065, 32, 464, 26, 753, 35, 610, 4356, 36, 27, 291, 4348, 22508, 32, 297, 15378, 26, 753, 35, 711, 324, 415, 646, 22508, 32, 297, 15378, 26, 753, 36, 711, 400, 28599, 81, 858, 280, 3177, 324, 4348, 4356, 35, 32, 891, 610, 225, 34, 556, 4356, 36, 32, 891, 610, 225, 34, 44, 400, 28599, 81, 858, 280, 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, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 4, 4, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 5, 5, 4, 4, 6, 5, 5, 5, 5, 5, 5, 6, 5, 3, 3, 5, 7, 7, 7, 10, 10, 11, 10, 10, 11, 12, 10, 8, 9, 9, 9, 8, 3, 3, 4, 5, 7, 8, 7, 7, 9, 9, 9, 9, 4, 4, 6, 7, 6, 6, 6, 8, 10, 11, 10, 11, 10, 6, 6, 7, 7, 7, 9, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 12, 15, 15, 16, 15, 13, 15, 16, 15, 2, 2, 4, 4, 5, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 6, 6, 6, 6, 6, 5, 3, 3, 8, 8, 8, 8, 7, 8, 7, 6, 6, 8, 9, 8, 8, 9, 10, 8, 2, 2, 5, 5, 4, 4, 6, 8, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 7, 6, 6, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 6, 6, 8, 8, 7, 8, 7, 4, 4, 5, 7, 8, 8, 7, 7, 8, 9, 7, 5, 5, 7, 8, 10, 11, 11, 10, 10, 12, 13, 13, 12, 7, 7, 11, 11, 10, 10, 7, 7, 8, 16, 16, 15, 16, 14, 14, 15, 13, 13, 13, 17, 16, 17, 15, 16, 15, 14, 14, 15, 12, 12, 12, 14, 15, 15, 14, 14, 15, 16, 14, 11, 11, 11, 14, 13, 14, 12, 12, 13, 10, 10, 10, 14, 13, 14, 12, 13, 12, 11, 11, 12, 9, 8, 8, 12, 12, 11, 11, 12, 12, 18, 17, 18, 16, 16, 18, 17, 18, 15, 15, 15, 18, 17, 18, 16, 16, 18, 17, 18, 14, 14, 14, 18, 17, 18, 16, 17, 16, 15, 15, 18, 17, 18, 16, 17, 16, 13, 13, 13, 17, 16, 17, 15, 17, 15, 14, 14, 17, 16, 17, 15, 17, 15, 12, 12, 7, 7, 8, 8, 8, 12, 12, 11, 11, 13, 14, 13, 15, 15, 14, 14, 15, 13, 5, 5, 6, 8, 9, 9, 8, 9, 9, 8, 6, 6, 8, 9, 11, 12, 12, 11, 12, 12, 11, 8, 8, 12, 12, 11, 11, 8, 8, 9, 13, 12, 13, 11, 11, 12, 10, 10, 13, 12, 13, 11, 11, 12, 9, 9, 9, 13, 13, 12, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 6, 6, 1, 1, 2, 1, 1, 2, 6, 6, 0, 7, 7, 2, 1, 2, 2, 3, 2, 2, 7, 7, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 3, 2, 1, 1, 2, 2, 2, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 7, 7, 7, 3, 3, 3, 3, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 2, 1, 1, 1, 1, 1, 3, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 4, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0 ]
[ 433, 225, 203, 20, 495, 18971, 1188, 308, 17603, 30, 4511, 1326, 27, 203, 1070, 5034, 32, 2304, 1188, 308, 36527, 30, 5556, 5302, 30, 5556, 2129, 30, 5556, 3240, 81, 1267, 27, 203, 1070, 4377, 1356, 32, 751, 1188, 1245, 81, 1793, 203, 1070, 4377, 1356, 32, 31982, 18155, 307, 4425, 1188, 308, 371, 81, 15678, 81, 668, 30, 4131, 81, 15678, 30, 3066, 81, 15678, 30, 6029, 1406, 858, 15678, 27, 203, 1070, 18971, 1188, 485, 203, 465, 5741, 203, 1070, 4377, 1237, 32, 1356, 32, 1001, 6038, 1188, 1406, 6038, 30, 1505, 81, 1439, 81, 1141, 203, 1070, 4377, 1356, 32, 6038, 1188, 8301, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 31982, 18155, 307, 4425, 81, 27336, 280, 34705, 463, 31982, 18155, 307, 4425, 81, 27336, 370, 1156, 426, 8223, 203, 50, 751, 81, 1793, 26, 751, 27, 203, 50, 31982, 18155, 307, 4425, 81, 27336, 32, 4351, 19468, 4438, 11414, 2788, 3490, 203, 589, 622, 81, 46751, 2262, 284, 3330, 261, 5671, 280, 622, 3180, 26, 1357, 32, 464, 81, 605, 30, 313, 681, 392, 5302, 27, 284, 736, 280, 622, 81, 15678, 81, 668, 26, 2029, 81, 15678, 81, 681, 47, 13074, 27, 284, 485, 32, 16676, 81, 1473, 32, 751, 15520, 3127, 563, 2933, 1748, 284, 442, 3240, 81, 1267, 26, 575, 27, 203, 50, 751, 81, 1793, 26, 751, 27, 203, 50, 31982, 18155, 307, 4425, 81, 27336, 32, 4351, 3247, 46, 15678, 10154, 4438, 11414, 3705, 3490, 203, 50, 1001, 6038, 26, 1553, 81, 1439, 81, 1141, 30, 1326, 30, 8301, 32, 24735, 521, 527, 940, 1752, 1971, 3214, 27, 203, 589, 739, 81, 15678, 26, 15678, 47, 2521, 711, 284, 3330, 261, 4356, 280, 1326, 32, 464, 81, 605, 284, 415, 17159, 44, 291, 588, 351, 4356, 32, 1877, 15520, 426, 563, 17159, 1748, 284, 736, 280, 4131, 81, 15678, 26, 753, 27, 284, 442, 3240, 81, 1267, 26, 575, 27, 203, 50, 751, 81, 1793, 26, 751, 27, 203, 50, 31982, 18155, 307, 4425, 81, 27336, 32, 4351, 3247, 46, 15678, 10154, 4438, 11414, 6691, 3490, 203, 50, 1001, 6038, 26, 1553, 81, 1439, 81, 1141, 30, 1326, 30, 8301, 32, 24735, 521, 527, 940, 1752, 1971, 6691, 27, 203, 589, 3066, 81, 15678, 81, 1237, 26, 15678, 47, 2521, 711, 284, 3330, 261, 736, 280, 3066, 81, 15678, 26, 15678, 27, 284, 485, 32, 16676, 81, 1473, 32, 751, 15520, 3127, 563, 736, 30, 715, 313, 1338, 563, 17159, 1748, 284, 442, 3240, 81, 1267, 26, 575, 27, 203, 50, 751, 81, 1793, 26, 751, 27, 203, 50, 31982, 18155, 307, 4425, 81, 27336, 32, 4351, 3247, 46, 15678, 10154, 4438, 11414, 2788, 3490, 203, 589, 622, 81, 15678, 26, 15678, 47, 2521, 711, 284, 3330, 261, 736, 280, 622, 81, 15678, 81, 668, 26, 2029, 81, 15678, 81, 426, 47, 15678, 27, 284, 485, 32, 16676, 81, 1473, 32, 751, 15520, 3127, 563, 2933, 30, 715, 313, 1338, 563, 17159, 1748, 284, 442, 3240, 81, 1267, 26, 575, 27, 203, 50, 751, 81, 1793, 26, 751, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 2, 2, 0, 2, 2, 4, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 4, 3, 4, 3, 4, 4, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 0, 2, 4, 4, 4, 4, 5, 4, 1, 2, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 8, 8, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 5, 5, 7, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 7, 7, 3, 3, 5, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 8, 9, 7, 3, 3, 7, 8, 8, 8, 6, 7, 6, 10, 10, 8, 7, 3, 3, 4, 6, 6, 6, 7, 6, 0, 2, 4, 4, 4, 4, 5, 4, 1, 2, 5, 5, 5, 5, 5, 5, 4, 5, 4, 6, 6, 6, 4, 5, 8, 8, 1, 2, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 4, 1, 2, 2, 3, 3, 3, 5, 4, 5, 3, 2, 2, 2, 2, 5, 5, 6, 7, 7, 7, 3, 3, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 7, 7, 7, 8, 7, 3, 3, 4, 6, 6, 6, 7, 6, 0, 2, 4, 4, 4, 4, 5, 4, 1, 2, 5, 5, 5, 5, 5, 5, 4, 5, 4, 6, 6, 6, 4, 5, 8, 8, 1, 2, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 5, 4, 5, 3, 2, 2, 2, 2, 5, 5, 7, 7, 7, 8, 7, 3, 3, 7, 8, 8, 8, 6, 7, 6, 10, 10, 8, 7, 7, 7, 10, 10, 8, 7, 3, 3, 4, 6, 6, 6, 7, 6, 0, 2, 4, 4, 4, 4, 5, 4, 1, 2, 5, 5, 5, 5, 5, 5, 4, 5, 4, 6, 6, 6, 4, 5, 8, 8, 1, 2, 2, 3, 3, 3, 5, 4, 5, 3, 2, 2, 2, 2, 5, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 8, 9, 7, 3, 3, 7, 8, 8, 8, 6, 7, 6, 10, 10, 8, 7, 7, 7, 10, 10, 8, 7, 3, 3, 4, 6, 6, 6, 7, 6, 0, 2, 4, 4, 4, 4, 5, 4 ]
[ 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 6, 6, 6, 6, 0, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 4, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 12, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 3, 1, 2, 12, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 5, 5, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 5, 5, 3, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 13, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 2, 13, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 2, 2, 2, 1, 13, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 3, 3, 0, 0, 2, 2, 2, 2, 5, 5, 1, 1, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 5, 5, 4, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 14, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 2, 14, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 2, 2, 2, 1, 14, 3, 3, 1, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 5, 5, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 15, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 2, 15, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 5, 5, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 5, 5, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1 ]
[ 1070, 420, 867, 97, 476, 32, 2238, 1188, 4237, 2338, 1862, 203, 1070, 420, 867, 97, 476, 32, 3922, 1188, 11089, 2825, 203, 1070, 420, 867, 97, 476, 32, 4519, 1188, 6571, 4097, 203, 1070, 18971, 1188, 2361, 203, 465, 5741, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 622, 81, 2859, 26, 761, 2238, 711, 284, 5035, 280, 2149, 284, 1596, 44, 291, 803, 2238, 32, 14408, 26, 34, 27, 291, 3443, 280, 4237, 2338, 1862, 26, 761, 2238, 30, 1665, 30, 5911, 6020, 1130, 291, 4118, 280, 11089, 2825, 26, 2238, 27, 291, 415, 646, 4118, 44, 324, 442, 5035, 291, 5911, 280, 6571, 4097, 26, 3922, 547, 1358, 1822, 14428, 26, 18184, 47, 2700, 30, 1628, 81, 4254, 32601, 291, 436, 1344, 328, 5911, 44, 324, 1596, 44, 400, 2361, 32, 16958, 26, 878, 27, 400, 1202, 30, 786, 280, 1344, 32, 2998, 463, 12454, 1769, 2998, 47, 35, 27, 400, 1202, 30, 786, 280, 1202, 32, 7201, 1026, 786, 32, 7201, 346, 400, 415, 1202, 461, 786, 44, 528, 5035, 32, 1877, 1371, 678, 44, 786, 1748, 324, 2940, 3268, 619, 538, 44, 400, 4082, 32, 3893, 26, 327, 27, 284, 2940, 3268, 619, 538, 44, 291, 4082, 32, 3893, 26, 327, 27, 291, 442, 5035, 284, 442, 5035, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 8, 7, 8, 7, 8, 7, 4, 4, 6, 6, 8, 8, 8, 9, 9, 8, 8, 8, 8, 9, 10, 4, 4, 6, 6, 8, 8, 9, 8, 4, 4, 5, 6, 5, 5, 5, 7, 4, 4, 6, 6, 10, 10, 11, 10, 9, 9, 9, 8, 10, 9, 10, 8, 8, 10, 10, 9, 4, 4, 5, 5, 5, 5, 5, 5, 7, 7, 7, 11, 12, 11, 12, 11, 8, 8, 11, 11, 10, 10, 12, 13, 12, 14, 12, 14, 13, 14, 12, 8, 8, 11, 11, 10, 10, 13, 14, 13, 11, 13, 14, 13, 8, 8, 9, 10, 10, 9, 9, 9, 13, 14, 13, 16, 15, 15, 14, 7, 7, 8, 9, 9, 8, 8, 8, 12, 13, 12, 13, 12, 3, 3, 4, 5, 5, 4, 4, 4, 8, 9, 8, 9, 8, 5, 5, 6, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 6, 6, 1, 1, 2, 1, 1, 2, 6, 6, 0, 0, 4, 4, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 3, 1, 3, 3, 3, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 3, 1, 1, 3, 3, 3, 0, 2, 1, 0, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 3, 3, 1, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1360, 203, 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 465, 617, 12408, 203, 465, 617, 12408, 1114, 687, 203, 465, 3619, 203, 465, 13092, 203, 1270, 44, 284, 645, 13625, 1188, 20393, 4806, 619, 23507, 13976, 203, 7343, 29986, 44, 284, 645, 2680, 7167, 1188, 14580, 13976, 619, 23507, 13976, 203, 1070, 617, 12408, 32, 10340, 1188, 7901, 81, 658, 81, 1251, 203, 35382, 6306, 1515, 280, 3619, 32, 983, 32, 1696, 2176, 12408, 3667, 761, 25566, 1515, 983, 346, 203, 14263, 81, 2950, 280, 225, 34, 203, 14263, 81, 24685, 10815, 280, 225, 35, 203, 14263, 81, 37047, 23913, 280, 225, 36, 203, 14263, 81, 16758, 2930, 280, 225, 37, 203, 14263, 81, 25948, 2930, 280, 225, 38, 203, 14263, 81, 3908, 4128, 69, 39490, 1345, 280, 225, 39, 203, 426, 81, 268, 280, 316, 32, 6993, 29318, 77, 83, 31, 15188, 31, 76, 81, 10854, 105, 29481, 657, 203, 589, 13092, 81, 669, 1762, 26, 3922, 711, 284, 4118, 32, 669, 5930, 440, 32987, 1537, 1246, 19845, 392, 313, 5660, 15103, 372, 7358, 436, 33798, 392, 291, 827, 347, 1132, 392, 1244, 11414, 3424, 370, 330, 53, 5767, 370, 7610, 16412, 1729, 370, 8930, 1004, 10047, 35100, 21280, 3490, 284, 4118, 32, 669, 5930, 440, 858, 8478, 392, 313, 24015, 372, 3233, 436, 3312, 1412, 1289, 2276, 556, 14904, 884, 2702, 328, 322, 2016, 1628, 4414, 291, 827, 347, 1132, 392, 1244, 6020, 1130, 284, 2350, 280, 4118, 32, 371, 1363, 440, 8304, 392, 313, 10333, 461, 7798, 2075, 657, 284, 2350, 1114, 669, 1762, 12605, 106, 370, 11363, 4775, 2232, 370, 2125, 347, 2157, 81, 1508, 392, 1244, 47, 2700, 30, 3083, 3466, 347, 4775, 2232, 392, 3083, 3049, 347, 4775, 23564, 631, 544, 1932, 1048, 556, 3803, 894, 26551, 284, 2350, 1114, 669, 1762, 12664, 1449, 5066, 370, 34664, 347, 1516, 392, 3083, 2125, 347, 2157, 392, 827, 47, 410, 30, 3466, 347, 1449, 5066, 392, 1244, 47, 34, 30, 3083, 3049, 347, 4775, 2685, 1932, 1929, 19576, 556, 3878, 7144, 284, 2350, 1114, 669, 1762, 12664, 5848, 370, 2125, 347, 2157, 81, 1508, 392, 3083, 3049, 347, 1945, 13092, 328, 6523, 2926, 30, 11685, 9555, 3878, 7144, 284, 2350, 1114, 669, 1762, 10359, 85, 392, 34664, 347, 761, 392, 827, 47, 466, 30, 3466, 347, 266, 325, 2309, 392, 3083, 3049, 347, 944, 3488, 645, 529, 761, 82, 4174, 432, 7667, 372, 26797, 1591, 432, 322, 10353, 3488, 2276, 7144, 284, 2350, 280, 4118, 32, 371, 1363, 440, 6174, 392, 313, 4170, 657, 284, 2350, 32, 669, 1762, 12664, 6174, 2585, 370, 11363, 6174, 31, 2585, 370, 2125, 347, 2157, 81, 1508, 392, 291, 3049, 347, 2585, 7901, 3312, 30, 2800, 1330, 5742, 3026, 26551, 284, 2350, 32, 669, 1762, 12664, 978, 1132, 370, 2125, 347, 2157, 81, 1508, 392, 291, 3049, 347, 1270, 372, 21660, 1169, 4209, 619, 4262, 7599, 7144, 284, 2350, 32, 669, 1762, 13692, 3617, 392, 2125, 347, 1689, 392, 34664, 347, 983, 392, 291, 3049, 347, 3617, 1519, 5929, 4491, 308, 6844, 31, 11327, 547, 657, 284, 2350, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 6, 4, 4, 5, 1, 2, 2, 2, 2, 2, 4, 6, 4, 4, 7, 5, 5, 6, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 7, 8, 6, 7, 6, 8, 7, 8, 8, 5, 5, 4, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 6, 6, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 8, 8, 5, 6, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 2, 2, 5, 6, 6, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 8, 8, 5, 6, 7, 2, 2, 4, 4, 6, 7, 7, 6, 8, 8, 6, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 5, 7, 7, 5, 7, 7, 7, 5, 6, 8, 8, 8, 8, 5, 6, 7, 5, 5, 5, 6, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 5, 7, 7, 7, 5, 6, 8, 8, 5, 5, 6, 8, 8, 5, 6, 7, 5, 5, 6, 8, 8, 8, 5, 6, 7, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 5, 7, 7, 5, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 5, 7, 7, 5, 6, 8, 8, 5, 6, 7, 5, 5, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 7, 6, 8, 8, 6, 8, 8, 2, 2, 5, 6, 6, 5, 7, 7, 7, 5, 7, 7, 7, 7, 5, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 5, 7, 7, 7, 5, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 5, 7, 7, 5, 6, 8, 8, 5, 6, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 0, 6, 6, 0, 7, 7, 0, 8, 8, 8, 8, 0, 0, 0, 0, 3, 3, 2, 8, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 2, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 18, 18, 1, 1, 1, 2, 1, 2, 18, 18, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 7, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 2, 1, 7, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 2, 1, 1, 1, 9, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 1, 2, 1, 7, 2, 1, 1, 9, 1, 1, 2, 1, 11, 2, 1, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 2, 1, 3, 1, 2, 1, 5, 2, 1, 1, 7, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0 ]
[ 505, 13411, 505, 280, 313, 1617, 33, 3483, 33, 69, 8407, 33, 3653, 33, 2314, 338, 764, 32, 978, 225, 39, 34, 36, 37, 225, 36, 34, 35, 34, 33, 34, 40, 33, 35, 38, 225, 36, 36, 44, 34, 39, 44, 38, 40, 309, 5486, 20, 203, 465, 358, 8407, 32, 1733, 203, 465, 2552, 203, 1204, 483, 280, 2107, 89, 1046, 370, 330, 14341, 785, 203, 589, 4450, 26, 2121, 711, 284, 2552, 32, 5536, 26, 2121, 27, 284, 415, 4533, 710, 20753, 785, 610, 330, 11300, 1662, 950, 291, 4533, 710, 2514, 11238, 6880, 785, 280, 358, 8407, 32, 1733, 32, 1583, 1881, 24542, 11238, 6880, 429, 4190, 429, 88, 25370, 683, 284, 4533, 32, 6551, 26, 11238, 6880, 11414, 22, 505, 68, 4065, 3490, 284, 4533, 710, 68, 4065, 9857, 785, 280, 6470, 23752, 5437, 100, 983, 1057, 284, 4533, 710, 68, 4065, 28056, 785, 280, 4247, 284, 4533, 26033, 68, 4065, 785, 280, 22147, 81, 7232, 26, 68, 4065, 9857, 30, 559, 4065, 30, 559, 4065, 28056, 30, 1156, 2121, 505, 4370, 25, 203, 589, 5375, 26, 2121, 711, 284, 442, 4533, 32, 22346, 26, 1204, 483, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 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, 0, 1, 1, 3, 2, 3, 0, 1, 1, 0, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 5, 6, 5, 6, 5, 2, 2, 3, 5, 7, 7, 4, 4, 6, 6, 6, 3, 3, 7, 9, 9, 9, 9, 6, 6, 10, 9, 10, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 5, 6, 5, 7, 7, 6, 9, 9, 9, 9, 9, 2, 2, 5, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 7, 7, 7, 7, 4, 4, 2, 2, 5, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 6, 5, 6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 4, 4, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 2, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 13625, 1188, 636, 41766, 203, 1070, 32625, 1188, 5736, 619, 32625, 81, 4545, 203, 465, 18792, 203, 6880, 280, 32625, 81, 4545, 32, 6880, 203, 3180, 2710, 280, 636, 41766, 14728, 3180, 2710, 370, 5556, 2107, 4555, 81, 681, 370, 330, 1536, 81, 853, 370, 330, 2310, 370, 715, 330, 5321, 3490, 203, 753, 81, 16452, 280, 2149, 203, 589, 44346, 81, 800, 26, 426, 30, 1244, 30, 3049, 711, 18256, 4356, 81, 16452, 77, 426, 79, 280, 16990, 2710, 463, 800, 370, 1244, 30, 3049, 30, 12797, 203, 589, 44346, 81, 4398, 26, 426, 30, 1244, 30, 3049, 711, 18256, 4356, 81, 16452, 77, 426, 79, 280, 16990, 2710, 463, 4398, 370, 1244, 30, 3049, 30, 12797, 203, 589, 44346, 81, 5823, 26, 426, 30, 1244, 30, 3049, 30, 7216, 81, 4464, 47, 2521, 30, 8342, 81, 4464, 47, 2521, 711, 18256, 10306, 280, 5053, 5729, 81, 4464, 950, 7216, 81, 4464, 30, 330, 7607, 81, 4464, 950, 8342, 81, 4464, 111, 334, 4356, 81, 16452, 77, 426, 79, 280, 16990, 2710, 463, 5823, 370, 1244, 30, 3049, 30, 10306, 27, 203, 589, 44346, 81, 1808, 26, 426, 30, 1244, 30, 3049, 30, 7216, 81, 4464, 47, 2521, 30, 8342, 81, 4464, 47, 2521, 711, 18256, 10306, 280, 5053, 5729, 81, 4464, 950, 7216, 81, 4464, 30, 330, 7607, 81, 4464, 950, 8342, 81, 4464, 111, 334, 4356, 81, 16452, 77, 426, 79, 280, 16990, 2710, 463, 1808, 370, 1244, 30, 3049, 30, 10306, 27, 203, 589, 44346, 81, 3868, 26, 426, 30, 1244, 30, 3833, 81, 2810, 30, 3049, 711, 18256, 10306, 280, 5053, 3868, 81, 2810, 950, 3833, 81, 2810, 111, 334, 4356, 81, 16452, 77, 426, 79, 280, 16990, 2710, 463, 3868, 370, 1244, 30, 3049, 30, 10306, 27, 203, 589, 44346, 81, 668, 26, 426, 30, 1244, 30, 3049, 711, 18256, 4356, 81, 16452, 77, 426, 79, 280, 16990, 2710, 463, 668, 370, 1244, 30, 3049, 30, 12797, 203, 589, 5597, 81, 4545, 26, 16452, 47, 2521, 711, 334, 24082, 280, 24082, 556, 4356, 81, 16452, 334, 5597, 81, 4555, 280, 301, 397, 330, 4398, 950, 32625, 81, 4545, 32, 16583, 81, 4398, 30, 397, 330, 1808, 950, 32625, 81, 4545, 32, 16583, 81, 1808, 30, 397, 330, 5823, 950, 32625, 81, 4545, 32, 16583, 81, 5823, 30, 397, 330, 800, 950, 32625, 81, 4545, 32, 16583, 81, 800, 30, 397, 330, 3868, 950, 32625, 81, 4545, 32, 16583, 81, 3868, 30, 397, 330, 668, 950, 32625, 81, 4545, 32, 16583, 81, 668, 334, 320, 334, 436, 636, 30, 4356, 81, 2285, 328, 18792, 32, 40957, 26, 16452, 711, 284, 415, 4356, 81, 2285, 32, 4555, 81, 681, 646, 328, 5597, 81, 4555, 44, 397, 3636, 10091, 463, 5842, 4655, 81, 681, 904, 101, 25, 904, 4356, 81, 2285, 32, 4555, 81, 681, 27, 284, 813, 44, 397, 5597, 81, 4555, 77, 753, 81, 2285, 32, 4555, 81, 681, 729, 426 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 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, 1, 1, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 0, 3, 2, 2, 4, 4, 3, 4, 0, 3, 3, 2, 2, 4, 4, 6, 6, 6, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 5, 7, 7, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 6, 6, 5, 6, 5, 4, 4, 6, 6, 8, 8, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 6, 6, 5, 6, 5, 4, 4, 6, 6, 8, 8, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 8, 8, 8, 8, 6, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 2, 2, 6, 6, 5, 6, 5, 4, 4, 6, 6, 8, 8, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 8, 8, 8, 8, 6, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 2, 2, 6, 6, 5, 6, 5, 4, 4, 6, 6, 8, 8, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 4, 4, 8, 8, 8, 8, 6, 7, 7, 5, 2, 2, 6, 6, 5, 6, 5, 4, 4, 6, 6, 8, 8, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 6, 6, 5, 6, 5, 4, 4, 6, 6, 8, 8, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 7, 8, 8, 8, 5, 5, 5, 8, 8, 6, 8, 8, 7, 8, 8, 8, 5, 5, 5, 8, 8, 6, 8, 8, 7, 8, 8, 8, 5, 5, 5, 8, 8, 6, 8, 8, 7, 8, 8, 8, 5, 5, 5, 8, 8, 6, 8, 8, 7, 8, 8, 8, 5, 5, 5, 8, 8, 6, 8, 8, 7, 8, 8, 8, 5, 5, 2, 2, 3, 4, 4, 5, 5, 3, 3, 5, 6, 5, 6, 5, 3, 3, 5, 8, 8, 7, 8, 8, 8, 6, 6, 6, 7, 7, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 11, 12, 12, 12, 9, 5, 5, 6, 6, 6, 11, 11, 10, 12, 12, 12, 11, 12, 12, 12, 10, 11 ]
[ 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, 3, 3, 0, 0, 4, 4, 4, 4, 3, 3, 2, 2, 0, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 2, 3, 3, 1, 2, 0, 0, 0, 0, 0, 0, 0, 9, 9, 1, 1, 2, 1, 2, 2, 2, 2, 2, 9, 9, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 2, 1, 2, 2, 2, 2, 2, 10, 10, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 11, 11, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 12, 12, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 12, 12, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 13, 13, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 14, 14, 1, 1, 2, 1, 2, 2, 2, 2, 2, 14, 14, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 15, 15, 1, 1, 2, 0, 1, 2, 2, 15, 15, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 9, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 11, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1 ]
[ 465, 2361, 203, 465, 2322, 203, 465, 1695, 40, 38, 203, 1070, 28520, 32, 18931, 1188, 354, 14635, 203, 1070, 28520, 1188, 8745, 203, 1070, 28520, 1188, 3878, 203, 1070, 28520, 1188, 12388, 203, 19805, 81, 76, 11618, 47, 2700, 203, 1270, 44, 284, 1188, 1288, 8737, 284, 18560, 81, 76, 11618, 47, 1815, 203, 7343, 29986, 44, 284, 3097, 203, 823, 9476, 26, 1473, 711, 284, 5881, 19546, 11618, 16636, 25087, 3387, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 15684, 30, 3408, 30, 2601, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 10340, 280, 15684, 291, 630, 32, 2040, 81, 98, 3554, 19068, 280, 3177, 291, 415, 18623, 26, 784, 32, 10340, 30, 330, 16465, 81, 3494, 370, 1665, 711, 324, 8745, 32, 16902, 81, 21800, 280, 630, 32, 10340, 32, 16465, 81, 3494, 291, 630, 32, 2035, 280, 3408, 291, 630, 32, 678, 280, 8745, 32, 678, 81, 979, 81, 12256, 26, 2035, 27, 291, 630, 32, 1819, 280, 1665, 291, 630, 32, 4817, 280, 1665, 291, 415, 225, 2601, 438, 1665, 44, 324, 630, 32, 625, 280, 12388, 32, 76, 527, 5650, 67, 81, 3624, 291, 813, 44, 324, 630, 32, 625, 280, 2601, 291, 630, 32, 864, 3749, 81, 9147, 81, 7095, 19066, 284, 665, 5008, 26, 784, 711, 291, 5881, 6206, 1196, 322, 3387, 1300, 5881, 291, 415, 646, 18560, 81, 76, 11618, 44, 324, 3636, 3878, 32, 1045, 21581, 924, 440, 47065, 438, 646, 6713, 657, 291, 630, 32, 1819, 280, 1288, 8737, 32, 1222, 346, 291, 6234, 280, 630, 32, 1819, 32, 4817, 26, 47065, 32, 4858, 27, 291, 8705, 280, 313, 9374, 555, 23, 101, 6069, 101, 20, 904, 308, 784, 32, 2035, 30, 630, 32, 625, 27, 291, 6234, 32, 3517, 26, 3225, 27, 291, 630, 32, 4817, 280, 6234, 291, 442, 630, 284, 665, 2299, 81, 2501, 26, 784, 30, 4774, 30, 3691, 81, 983, 30, 9555, 81, 496, 30, 12798, 444, 47, 2700, 30, 15012, 20183, 1771, 33, 615, 370, 328, 81, 605, 47, 2521, 711, 291, 5881, 1420, 312, 2016, 544, 322, 6562, 3408, 5881, 291, 415, 328, 81, 605, 44, 324, 3636, 3878, 32, 1045, 21581, 924, 440, 4292, 3081, 44, 458, 2297, 1957, 646, 2193, 24963, 2297, 298, 3554, 19068, 657, 291, 354, 14635, 440, 14769, 26274, 904, 101, 20, 904, 4774, 27, 291, 415, 630, 32, 10340, 32, 864, 3749, 461, 12798, 444, 44, 324, 3636, 3878, 32, 1045, 21581, 924, 26, 400, 313, 5786, 1471, 8379, 11653, 30, 745, 646, 6377, 12798, 556, 7322, 372, 1420, 1370, 8253, 32, 313, 474, 400, 313, 41767, 12798, 322, 8379, 11653, 2125, 623, 12798, 32, 313, 474, 400, 313, 2247, 1098, 25420, 623, 322, 8379, 11653, 3425, 3974, 328, 12798, 2926, 3107, 324, 829, 291, 706, 280, 5436, 26, 324, 2926, 1057, 2501, 370, 324, 4774, 47, 3515, 30, 324, 3691, 81, 983, 47, 2868, 81, 983, 30, 324, 15012, 47, 21823, 30, 291, 829, 291, 706, 280, 8745, 32, 1260, 1147, 26, 605, 27, 291, 706, 280, 8745, 32, 11294, 26, 784, 32, 678, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 3, 3, 2, 3, 0, 1, 1, 1, 1, 3, 5, 2, 2, 5, 5, 5, 4, 5, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 5, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 7, 7, 5, 5, 9, 10, 10, 10, 8, 8, 10, 11, 9, 10, 10, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 5, 5, 6, 6, 5, 5, 5, 9, 10, 8, 8, 9, 10, 10, 10, 10, 10, 10, 5, 5, 6, 6, 6, 10, 11, 9, 9, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 7, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 9, 8, 9, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 8, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 5, 6, 4, 4, 5, 7, 7, 7, 7, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 10, 10, 10, 10, 10, 8, 8, 7, 4, 4, 5, 8, 9, 7, 8, 8, 6, 6, 7, 5, 5, 5, 7, 9, 10, 10, 10, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 4, 4, 6, 6, 8, 8, 8, 9, 11, 11, 8, 8, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 9, 10, 8, 8, 8, 4, 4, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 2, 0, 8, 8, 8, 8, 0, 0, 2, 2, 0, 0, 0, 0, 2, 8, 3, 3, 3, 3, 3, 0, 9, 9, 2, 1, 2, 9, 9, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 7, 7, 1, 1, 7, 7, 7, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 7, 7, 4, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 3, 2, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 7, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 0, 9, 2, 2, 2, 11, 1, 1, 1, 2, 2, 0, 0, 13, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 0, 2, 0, 2, 2, 1, 1, 2, 3, 3, 3, 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, 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, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 7, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1 ]
[ 465, 5741, 203, 465, 20536, 103, 3291, 619, 3920, 203, 1070, 6765, 17594, 32, 3527, 32, 12601, 1188, 48923, 81, 20740, 203, 1070, 6765, 17594, 32, 913, 1188, 14558, 81, 14174, 203, 1070, 6765, 17594, 32, 8774, 32, 2225, 1188, 7264, 203, 465, 6765, 17594, 32, 3527, 32, 6837, 405, 15130, 619, 1288, 267, 405, 15130, 203, 465, 6765, 17594, 32, 8774, 32, 1163, 81, 6460, 619, 6677, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 33384, 42391, 940, 280, 2107, 6837, 405, 15130, 785, 203, 14594, 81, 8569, 81, 9292, 37566, 280, 313, 1017, 81, 1004, 6931, 20, 203, 5807, 81, 8569, 81, 9292, 37566, 280, 3177, 203, 20753, 81, 20740, 280, 48923, 81, 20740, 32, 8233, 1371, 284, 3920, 32, 7556, 26, 14594, 81, 8569, 81, 9292, 37566, 30, 1244, 47, 5807, 81, 8569, 81, 9292, 37566, 711, 291, 6677, 32, 4398, 30, 203, 1748, 203, 589, 4705, 81, 5134, 26, 31667, 30, 1359, 30, 1015, 81, 13204, 30, 21067, 81, 1338, 47, 2521, 711, 284, 2305, 81, 1004, 6931, 280, 1359, 32, 371, 26, 14594, 81, 8569, 81, 9292, 37566, 27, 284, 30572, 280, 1605, 284, 9300, 101, 280, 1288, 267, 405, 15130, 32, 371, 81, 1293, 463, 1237, 33, 8231, 101, 32, 1260, 683, 284, 436, 595, 328, 9300, 101, 710, 8231, 101, 12132, 291, 30572, 32, 1689, 26, 324, 2523, 2739, 2408, 8536, 101, 26, 410, 26, 91, 710, 8536, 4902, 606, 16578, 595, 710, 8536, 4902, 558, 3490, 291, 829, 291, 30572, 32, 1689, 26, 324, 2523, 2739, 2408, 5004, 26, 410, 26, 91, 710, 8536, 4902, 606, 16578, 595, 710, 8536, 4902, 558, 2188, 6029, 2305, 81, 1004, 6931, 27, 291, 829, 284, 1015, 81, 13204, 26, 37737, 27, 203, 823, 2523, 2739, 2408, 8536, 101, 26, 2216, 711, 284, 665, 1156, 1664, 3207, 784, 30, 9300, 81, 314, 30, 9300, 81, 426, 711, 291, 630, 1114, 8231, 81, 314, 280, 9300, 81, 314, 291, 630, 1114, 8231, 81, 426, 280, 9300, 81, 426, 291, 630, 1114, 1293, 280, 1665, 284, 477, 2433, 284, 665, 636, 26, 784, 711, 291, 442, 17246, 5400, 2473, 1643, 26, 784, 1114, 8231, 81, 426, 27, 284, 477, 2433, 284, 665, 1603, 26, 784, 711, 291, 442, 630, 1114, 1293, 284, 665, 1974, 26, 784, 711, 291, 9300, 280, 1288, 267, 405, 15130, 32, 371, 81, 1293, 26, 324, 330, 1237, 33, 8231, 101, 9708, 91, 32, 1260, 25, 904, 630, 1114, 8231, 81, 314, 291, 829, 291, 415, 9300, 710, 8231, 4902, 8536, 4902, 2447, 785, 438, 1665, 44, 324, 630, 1114, 1293, 280, 14558, 81, 14174, 291, 813, 44, 324, 630, 1114, 1293, 280, 9300, 710, 8231, 4902, 8536, 4902, 2447, 785, 203, 823, 2523, 2739, 2408, 5004, 26, 2216, 711, 284, 665, 1156, 1664, 3207, 784, 30, 9300, 81, 314, 30, 9300, 81, 426, 30, 2305, 81, 1004, 6931, 711, 291, 630, 1114, 8231, 81, 314, 280, 9300, 81, 314, 291, 630, 1114, 8231, 81, 426, 280, 9300, 81, 426, 291, 630, 1114, 1017, 81, 1004, 6931, 280, 2305, 81, 1004, 6931, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 4, 3, 4, 3, 4, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 4, 5, 5, 8, 9, 8, 9, 9, 9, 9, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 6, 6, 7, 8, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 7, 7, 7, 6, 2, 2, 4, 4, 2, 2, 5, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 3, 3, 5, 4, 6, 6, 6, 3, 3, 7, 8, 7, 7, 7, 9, 9, 9, 9, 9, 11, 11, 14, 13, 15, 15, 14, 14, 9, 11, 13, 13, 12, 12, 7, 7, 4, 4, 7, 8, 7, 7, 7, 9, 9, 9, 9, 11, 11, 14, 13, 15, 15, 14, 14, 9, 11, 13, 13, 12, 12, 9, 9, 10, 10, 10, 9, 7, 7, 2, 2, 5, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 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, 6, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 10, 10, 9, 8, 10, 9, 10, 10, 10, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 11, 11, 11, 8, 8, 4, 4, 5, 9, 11, 11, 10, 10, 9, 9, 6, 6, 5, 5, 5, 9, 10, 8, 8, 9, 9, 5, 5, 6, 6, 6, 10, 11, 9, 9, 12, 14, 14, 13, 13, 12, 12, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 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, 8, 6, 6, 7, 7, 7, 4 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 0, 2, 0, 4, 4, 4, 1, 1, 2, 2, 2, 0, 6, 6, 0, 0, 2, 0, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 12, 12, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 12, 12, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 3, 3, 0, 3, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 5, 5, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 5, 5, 5, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 0, 13, 13, 1, 1, 1, 1, 2, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 4, 4, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 4, 4, 4, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 14, 14, 1, 1, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 7, 2, 0, 0, 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, 0, 0, 2, 2, 2, 4 ]
[ 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 40946, 619, 617, 203, 1070, 2156, 98, 3210, 32, 1262, 32, 3378, 1188, 12831, 203, 823, 7049, 26, 3378, 32, 1243, 711, 291, 32347, 81, 5632, 280, 4549, 32, 13343, 26, 4290, 30, 11771, 280, 3177, 30, 744, 280, 3177, 30, 5886, 81, 426, 347, 26843, 81, 5632, 81, 1819, 657, 291, 1619, 81, 1172, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 34, 34, 27, 291, 1619, 81, 6932, 81, 1366, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 36, 34, 30, 1244, 47, 2700, 27, 291, 1619, 81, 6932, 81, 416, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 36, 34, 30, 1244, 47, 2700, 27, 291, 1619, 81, 6932, 81, 6124, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 36, 34, 30, 1536, 47, 2700, 27, 291, 1619, 81, 15778, 280, 4549, 32, 10215, 26, 1536, 47, 2700, 27, 291, 443, 11985, 44, 400, 5799, 81, 36202, 280, 2726, 26843, 81, 5632, 370, 330, 1819, 81, 1172, 683, 203, 823, 9923, 26, 3378, 32, 1243, 711, 291, 32347, 81, 5632, 280, 4549, 32, 13343, 26, 4290, 30, 11771, 280, 3177, 30, 744, 280, 3177, 30, 5886, 81, 426, 347, 26843, 81, 5632, 81, 3550, 657, 291, 1123, 81, 314, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 36, 34, 27, 291, 14188, 81, 314, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 36, 34, 27, 291, 8790, 81, 17781, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 291, 38949, 81, 17781, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 291, 1476, 81, 751, 81, 17781, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 291, 37640, 81, 17781, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 291, 30041, 81, 17781, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 291, 4281, 81, 2645, 81, 17781, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 291, 4809, 81, 17781, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 291, 3974, 81, 19005, 81, 17781, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 291, 13255, 81, 1338, 81, 17781, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 291, 1123, 81, 8795, 81, 17781, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 203, 202, 1819, 81, 1172, 280, 4549, 32, 13343, 26, 1222, 30, 11771, 280, 3177, 30, 744, 280, 3177, 30, 5886, 81, 426, 347, 3550, 81, 1819, 81, 1172, 657, 203, 202, 823, 11985, 44, 10577, 202, 5665, 81, 36202, 280, 2726, 26843, 81, 5632, 370, 330, 725, 81, 314, 370, 330, 4785, 81, 314, 683, 203, 823, 13814, 266, 26, 3378, 32, 1243, 711, 203, 202, 26843, 81, 5632, 280, 4549, 32, 13343, 26, 4290, 30, 11771, 280, 3177, 30, 744, 280, 3177, 30, 5886, 81, 426, 347, 26843, 81, 5632, 81, 2215, 266, 657, 291, 1123, 81, 314, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 36 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 3, 3, 3, 3, 7, 7, 7, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 3, 3, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 0, 0, 7, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 6, 6, 6, 6, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 5, 5, 2, 0, 1, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 0, 0, 7, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 0, 0, 7, 1, 1, 1, 1, 1, 2, 4, 4, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 0, 0, 7, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2 ]
[ 1070, 485, 771, 85, 1188, 8745, 203, 1070, 15798, 1188, 19205, 203, 823, 40145, 10905, 26, 7233, 711, 334, 665, 894, 81, 9387, 81, 7004, 26, 784, 711, 284, 22718, 280, 8745, 32, 371, 81, 9387, 81, 7004, 346, 284, 18219, 7352, 280, 1605, 284, 436, 1300, 81, 426, 30, 1300, 81, 28331, 328, 22718, 32, 3028, 2262, 397, 436, 7996, 328, 1300, 81, 28331, 44, 291, 1596, 44, 616, 630, 32, 33966, 26, 1090, 7996, 30, 22718, 30, 1090, 4825, 2149, 438, 646, 328, 322, 22718, 5436, 2296, 1643, 26, 9387, 27, 616, 829, 616, 630, 32, 33966, 26, 1090, 1300, 81, 426, 30, 22718, 77, 9387, 614, 1090, 19436, 646, 2431, 328, 2149, 22718, 2296, 1643, 26, 1473, 81, 426, 30, 7996, 27, 616, 829, 291, 2940, 34835, 619, 484, 44, 616, 18219, 7352, 32, 1689, 26, 466, 26, 87, 490, 284, 18219, 7352, 32, 3323, 346, 284, 630, 32, 5299, 26, 24444, 7352, 30, 11544, 334, 665, 894, 81, 6077, 81, 2665, 26, 784, 711, 284, 5436, 35, 280, 301, 291, 313, 83, 563, 301, 324, 313, 84, 563, 301, 400, 313, 85, 563, 225, 35, 30, 400, 313, 86, 563, 301, 528, 313, 87, 563, 225, 36, 30, 400, 801, 324, 801, 291, 801, 284, 320, 284, 5436, 36, 280, 301, 291, 313, 83, 563, 301, 324, 313, 84, 563, 301, 400, 313, 85, 563, 225, 35, 30, 400, 313, 88, 563, 301, 528, 313, 87, 563, 225, 36, 400, 320, 324, 801, 324, 313, 89, 563, 225, 37, 291, 801, 291, 313, 90, 563, 225, 38, 284, 320, 284, 2799, 81, 1267, 280, 301, 291, 313, 83, 563, 301, 324, 313, 84, 563, 301, 400, 313, 85, 563, 225, 35, 30, 400, 313, 86, 563, 301, 528, 313, 87, 563, 225, 36, 30, 400, 801, 400, 313, 88, 563, 301, 528, 313, 87, 563, 225, 36, 30, 400, 801, 324, 801, 324, 313, 89, 563, 225, 37, 30, 291, 801, 291, 313, 90, 563, 225, 38, 30, 284, 320, 284, 1056, 280, 8745, 32, 6077, 81, 2665, 26, 2665, 35, 30, 5436, 36, 27, 284, 630, 32, 5299, 26, 1267, 30, 2799, 81, 1267, 27, 334, 665, 894, 81, 6077, 81, 48719, 26, 784, 711, 284, 5436, 35, 280, 301, 291, 313, 83, 563, 301, 324, 313, 84, 563, 301, 400, 313, 85, 563, 225, 35, 30, 400, 313, 86, 563, 301, 528, 313, 87, 563, 225, 36, 400, 320, 324, 320, 291, 320, 284, 320, 284, 5436, 36, 280, 301, 291, 313, 83, 563, 301, 324, 313, 84, 563, 301, 400, 313, 85, 563, 225, 35, 30, 400, 313, 88, 563, 301, 528, 313, 87, 563, 225, 36, 400, 320, 324, 801, 324, 313, 89, 563, 225, 37, 291, 801, 291, 313, 90, 563, 225, 38, 284, 320, 284, 5436, 37, 280, 301, 291, 313, 83, 563, 301, 324, 313, 35719, 563, 301, 400, 313, 85, 563, 225, 35, 30, 400, 313, 88, 563, 301, 528, 313, 87, 563, 225, 36, 400, 320, 324, 801, 324, 313, 89, 563, 225, 37, 291, 801, 291, 313, 90 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 6, 6, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 7, 8, 7, 5, 5, 7, 7, 7, 8, 8, 7, 7, 7, 9, 9, 9, 13, 14, 13, 13, 13, 13, 13, 13, 13, 13, 17, 17, 17, 17, 17, 17, 17, 17, 16, 15, 16, 15, 13, 13, 10, 10, 13, 14, 13, 13, 13, 14, 14, 13, 13, 14, 15, 14, 13, 13, 17, 17, 17, 17, 17, 17, 16, 15, 16, 16, 16, 15, 15, 15, 13, 13, 9, 9, 10, 11, 11, 10, 10, 10, 15, 14, 15, 14, 16, 16, 17, 16, 4, 4, 8, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 13, 11, 11, 11, 14, 14, 12, 13, 13, 16, 16, 14, 15, 13, 13, 13, 11, 11, 9, 9, 7, 7, 4, 4, 7, 6, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 13, 11, 11, 11, 14, 14, 12, 13, 13, 16, 16, 14, 15, 13, 13, 11, 11, 9, 9, 12, 12, 10, 11, 9, 9, 7, 7, 10, 10, 8, 9, 7, 7, 4, 4, 7, 7, 6, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 13, 11, 11, 11, 14, 14, 12, 13, 13, 16, 16, 14, 15, 13, 13, 13, 11, 11, 14, 14, 12, 13, 13, 16, 16, 14, 15, 13, 13, 13, 11, 11, 9, 9, 12, 12, 10, 11, 9, 9, 9, 7, 7, 10, 10, 8, 9, 7, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 13, 11, 11, 11, 14, 14, 12, 13, 13, 16, 16, 14, 15, 13, 13, 11, 11, 9, 9, 7, 7, 4, 4, 7, 6, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 13, 11, 11, 11, 14, 14, 12, 13, 13, 16, 16, 14, 15, 13, 13, 11, 11, 9, 9, 12, 12, 10, 11, 9, 9, 7, 7, 10, 10, 8, 9, 7, 7, 4, 4, 7, 6, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 13, 11, 11, 11, 14, 14, 12, 13, 13, 16, 16, 14, 15, 13, 13, 11, 11, 9, 9, 12, 12, 10, 11, 9, 9, 7, 7, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 1070, 4377, 8524, 1188, 308, 284, 8248, 81, 2208, 81, 11790, 30, 284, 8248, 81, 466, 30, 284, 8248, 81, 39362, 81, 2208, 81, 965, 2208, 30, 203, 27, 203, 1070, 4377, 2304, 1188, 308, 284, 9921, 81, 407, 30, 284, 629, 81, 271, 81, 4108, 30, 284, 1596, 81, 371, 30, 284, 7193, 2105, 30, 203, 27, 203, 823, 47429, 5195, 3989, 26, 1120, 16653, 711, 284, 12265, 81, 2474, 280, 330, 40, 1066, 25, 284, 617, 5915, 81, 2413, 280, 540, 25, 18470, 40, 1066, 24862, 641, 49, 555, 18470, 1499, 8169, 6505, 40, 1066, 8169, 2173, 4724, 29, 49, 31, 85, 81, 2502, 49, 66, 46, 314, 8828, 34, 31, 43, 6155, 9905, 284, 617, 3765, 280, 301, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 40, 1066, 32, 2173, 33, 274, 31, 289, 15340, 305, 31, 7202, 2660, 2487, 31, 98, 81, 35, 42, 34, 41, 33, 274, 31, 289, 15340, 305, 31, 7202, 2660, 2487, 31, 10097, 31, 88, 364, 307, 31, 14719, 1092, 91, 31, 83, 31, 36, 35, 31, 34, 34, 31, 8841, 31, 95, 40, 31, 85, 81, 35, 35, 40, 37, 42, 38, 39, 34, 370, 291, 330, 954, 39, 950, 330, 38, 36, 37, 35, 34, 84, 11675, 38, 2653, 37, 43, 42, 36, 1199, 35, 35, 36, 84, 43, 2087, 37, 38, 40, 41, 37, 36, 42, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 35, 35, 40, 37, 42, 38, 39, 34, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 1475, 3110, 15340, 305, 447, 11317, 102, 2660, 2487, 30, 33573, 564, 296, 5884, 1592, 345, 6650, 1092, 91, 7226, 225, 36, 35, 44, 34, 34, 6178, 488, 40, 370, 324, 330, 2310, 950, 330, 954, 39, 44, 37, 34, 42, 42, 39, 37, 88, 40, 83, 39, 88, 43, 87, 36, 86, 39, 39, 83, 37, 34, 3499, 34, 40, 39, 38, 286, 38, 35, 39, 88, 370, 324, 330, 6932, 950, 225, 37, 43, 30, 324, 330, 8442, 950, 330, 1475, 597, 15340, 305, 298, 11317, 102, 2660, 2487, 370, 291, 801, 291, 330, 2132, 950, 301, 324, 330, 5961, 81, 4984, 950, 2933, 30, 291, 801, 284, 320, 284, 665, 617, 4543, 81, 8281, 26, 784, 30, 1984, 711, 291, 6027, 81, 314, 280, 630, 1114, 2872, 81, 314, 26, 965, 27, 291, 706, 280, 630, 1114, 4984, 81, 1260, 26, 324, 330, 641, 555, 1970, 32, 11202, 32, 40, 1066, 32, 2173, 33, 40, 1066, 33, 104, 36, 33, 31029, 33, 95, 40, 1363, 81, 1840, 33, 4255, 33, 40, 1066, 33, 11966, 33, 10361, 16335, 101, 25, 904, 6027, 81, 314, 30, 324, 6027, 81, 314, 30, 2467, 1279, 400, 330, 1729, 83, 950, 225, 39, 30, 400, 330, 1793, 950, 330, 4538, 1069, 370, 324, 1790, 291, 12286, 81, 605, 280, 706, 710, 4538, 1069, 8150, 34, 79, 291, 1780, 280, 12286, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 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, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 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, 10, 10, 7, 7, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 8, 8, 8, 7, 7, 10, 10, 10, 10, 8, 9, 7, 7, 5, 5, 5, 2, 3, 4, 4, 4, 4, 4, 5, 4, 5, 3, 7, 7, 7, 7, 6, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 6, 9, 9, 9, 9, 9, 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, 11, 11, 11, 11, 11, 10, 10, 10, 10, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 13, 13, 13, 13, 10, 10, 13, 13, 13, 11, 13, 13, 10, 10, 4, 4, 7, 7, 7, 6, 9, 8, 10, 10, 10, 10, 4, 7, 7, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 5, 5, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 2, 4, 4, 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, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 9, 9, 2, 2, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 3, 3, 3, 3, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 3, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 0, 0, 0 ]
[ 465, 45977, 203, 465, 2322, 203, 465, 316, 203, 465, 802, 203, 465, 5237, 203, 81, 18570, 81, 7383, 81, 613, 280, 316, 32, 6993, 26, 100, 10255, 84, 3868, 78, 84, 78, 101, 29, 4987, 69, 40935, 101, 19650, 109, 683, 203, 81, 18570, 81, 5975, 81, 613, 280, 316, 32, 6993, 26, 100, 25, 2009, 51, 31, 21948, 31, 108, 34, 31, 43, 81, 6155, 2502, 3424, 19188, 203, 81, 18570, 81, 3285, 81, 613, 280, 316, 32, 6993, 26, 100, 25, 14747, 101, 18899, 1255, 22, 683, 203, 81, 18570, 69, 280, 2149, 203, 81, 8356, 66, 45913, 280, 2149, 203, 589, 13657, 3985, 26, 3607, 30, 1628, 81, 2171, 30, 1628, 711, 334, 5237, 32, 8228, 32, 1821, 15339, 101, 6069, 86, 44, 31911, 810, 3491, 96, 23, 101, 78, 96, 25, 904, 308, 3607, 30, 1628, 81, 2171, 30, 1628, 490, 334, 3636, 3268, 440, 89, 10669, 973, 15981, 334, 5237, 32, 4775, 26, 35, 27, 203, 589, 6833, 974, 26, 3607, 711, 334, 5430, 280, 45977, 32, 1676, 26, 3607, 30, 330, 100, 370, 330, 3310, 42, 370, 330, 3227, 1814, 850, 922, 2998, 9442, 96, 683, 334, 328, 81, 3868, 280, 3177, 334, 1628, 81, 2171, 280, 225, 34, 334, 26169, 280, 1605, 334, 931, 21664, 81, 4820, 280, 1605, 334, 436, 5081, 81, 928, 328, 5430, 44, 284, 1628, 81, 2171, 1454, 225, 35, 284, 415, 646, 328, 81, 3868, 44, 397, 345, 280, 617, 18570, 81, 7383, 81, 613, 32, 1903, 26, 1294, 81, 928, 27, 397, 415, 345, 44, 291, 3833, 81, 426, 280, 345, 32, 1363, 26, 35, 27, 291, 415, 2069, 26, 1325, 315, 1738, 81, 4820, 27, 848, 225, 34, 44, 616, 3833, 81, 426, 280, 45242, 2473, 2524, 26, 1325, 315, 1738, 81, 4820, 27, 474, 45242, 25, 474, 3833, 81, 426, 291, 617, 18570, 69, 77, 3868, 81, 426, 79, 280, 1605, 291, 617, 8356, 66, 45913, 77, 3868, 81, 426, 79, 280, 45242, 2473, 2524, 26, 21043, 27, 291, 328, 81, 3868, 280, 2933, 291, 4036, 397, 345, 280, 316, 32, 6993, 26, 100, 28249, 2011, 10442, 69, 24913, 37180, 1814, 1903, 26, 1294, 81, 928, 27, 397, 415, 345, 44, 291, 26169, 32, 1689, 26, 95, 32, 1363, 26, 35, 490, 291, 4036, 397, 345, 280, 316, 32, 6993, 26, 100, 25, 14747, 4104, 101, 29, 306, 3583, 1814, 1903, 26, 1294, 81, 928, 27, 397, 415, 345, 44, 291, 26169, 280, 26169, 77, 34, 44, 1657, 26, 21043, 27, 429, 225, 35, 79, 291, 4036, 397, 345, 280, 316, 32, 6993, 26, 100, 28249, 18470, 823, 110, 1167, 2502, 2805, 33330, 1614, 1345, 6505, 10442, 69, 29, 547, 28, 37180, 1814, 1903, 26, 1294, 81, 928, 27, 397, 415, 345, 44, 291, 931, 21664, 81, 4820, 32, 1689, 26, 95, 32, 1363, 26, 35, 490, 291, 4036, 397, 345, 280, 316, 32, 6993, 26, 100, 25, 14747, 1255, 1814, 1903, 26, 1294, 81, 928, 27, 397, 415, 345, 44, 291, 931, 21664, 81, 4820, 280, 931, 21664, 81, 4820, 77, 34, 44, 1657, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 6, 7, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 9, 9, 8, 6, 6, 8, 7, 7, 8, 8, 7, 7, 7, 2, 2, 3, 5, 7, 7, 7, 7, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 10, 11, 10, 11, 10, 10, 12, 12, 10, 12, 12, 12, 10, 12, 12, 9, 8, 7, 6, 9, 8, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 5, 2, 2, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 7, 7, 6, 6, 7, 4, 4, 5, 6, 7, 7, 5, 5, 5, 8, 8, 11, 11, 11, 11, 11, 10, 11, 10, 11, 11, 11, 10, 6, 6, 7, 7, 7, 7, 11, 11, 10, 10, 12, 13, 12, 13, 12, 8, 8, 9, 12, 13, 13, 13, 13, 13, 12, 10, 10, 11, 9, 9, 9, 13, 13, 12, 12, 18, 17, 16, 17, 17, 17, 17, 17, 16, 14, 14, 16, 13, 13, 14, 14, 8, 8, 12, 12, 11, 12, 12, 12, 11, 10, 10, 8, 8, 12, 12, 12, 11, 12, 12, 12, 11, 10, 10, 14, 13, 12, 13, 12, 8, 8, 11, 11, 10, 10, 8, 8, 6, 6, 8, 8, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 11, 10, 11, 11, 11, 10, 6, 6, 7, 7, 7, 7, 11, 12, 11, 14, 13, 14, 13, 14, 13, 8, 8, 6, 6, 8, 8, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 10, 11, 11, 11, 10, 6, 6, 7, 7, 7, 7, 10, 10, 11, 13, 12, 15, 15, 16, 15, 13, 13, 14, 11, 8, 8, 6, 6, 8, 8, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 10, 11, 11, 11, 10, 6, 6, 7, 7, 7, 7, 12, 12, 12, 11, 12, 11, 14, 13, 14, 13, 14, 13, 8, 8, 6, 6, 8, 8, 12, 13, 12, 14, 14, 14, 14, 14, 11, 10, 11, 11, 11, 10, 6, 6, 7, 7, 7, 7, 11, 11, 11, 10, 10, 12, 12, 12, 11, 13, 12, 15, 15 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 10, 10, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 5, 1, 1, 5, 5, 5, 5, 5, 0, 0, 0, 0, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 5, 5, 5, 5, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 7, 7, 7, 7, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 1133, 203, 465, 5741, 203, 465, 7138, 203, 465, 6436, 619, 2065, 203, 1070, 706, 1188, 319, 203, 1070, 1133, 1188, 9766, 203, 1070, 3377, 1188, 319, 203, 1070, 13625, 1188, 31466, 203, 39278, 81, 28295, 280, 2149, 264, 203, 39278, 81, 19124, 101, 280, 2149, 262, 203, 7740, 512, 5725, 280, 2149, 263, 203, 1366, 29766, 280, 225, 34, 203, 1494, 449, 6197, 280, 225, 34, 203, 2760, 81, 1267, 81, 983, 280, 3330, 262, 203, 464, 81, 10031, 280, 8825, 346, 647, 203, 2708, 16377, 368, 1464, 280, 225, 38, 34, 34, 34, 958, 203, 3674, 17018, 21126, 280, 225, 34, 2407, 203, 3567, 1263, 39622, 280, 225, 34, 2850, 203, 5571, 280, 1605, 3389, 203, 7490, 32, 6390, 1063, 26, 1643, 31197, 26, 426, 27, 101, 15231, 26, 2649, 426, 27, 101, 44, 18147, 1436, 27, 101, 6418, 3193, 47, 7490, 32, 2897, 27, 203, 4073, 280, 5741, 32, 10579, 463, 1126, 683, 203, 589, 16735, 12321, 2262, 284, 442, 1169, 81, 10031, 203, 589, 4450, 81, 941, 31033, 26, 64, 1918, 711, 284, 3649, 8934, 1263, 39622, 30, 1169, 81, 10031, 284, 4082, 32, 2811, 21489, 319, 319, 4793, 4450, 1168, 31033, 657, 284, 8710, 81, 1793, 81, 96, 7281, 280, 310, 1421, 474, 25765, 474, 29614, 270, 284, 8710, 81, 6656, 280, 308, 349, 15351, 352, 77, 349, 15351, 352, 81, 57, 6303, 614, 528, 15711, 100, 388, 279, 77, 98, 3499, 81, 57, 6303, 34, 614, 15711, 100, 388, 279, 77, 98, 3499, 81, 57, 6303, 35, 614, 13461, 100, 388, 279, 77, 98, 3499, 81, 1827, 614, 528, 310, 329, 77, 46278, 81, 33141, 614, 310, 329, 77, 46278, 81, 57, 1319, 51, 34, 614, 310, 329, 77, 46278, 81, 57, 1319, 51, 35, 614, 310, 329, 77, 46278, 81, 1827, 614, 528, 354, 1349, 77, 104, 1349, 81, 57, 1319, 51, 34, 614, 354, 1349, 77, 104, 1349, 81, 57, 1319, 51, 35, 614, 354, 1349, 77, 104, 1349, 81, 57, 1319, 51, 36, 614, 528, 312, 1772, 10575, 13573, 77, 43809, 10575, 13573, 81, 57, 6303, 614, 312, 1772, 10575, 13573, 77, 43809, 10575, 13573, 81, 33141, 614, 312, 1772, 10575, 13573, 77, 43809, 10575, 13573, 81, 57, 1319, 51, 614, 528, 309, 6635, 77, 4636, 85, 81, 57, 1319, 51, 1130, 474, 766, 284, 22139, 474, 298, 385, 89, 474, 7777, 100, 474, 485, 348, 474, 485, 1295, 474, 376, 96, 474, 298, 5123, 474, 1148, 90, 474, 456, 2632, 474, 354, 1349, 284, 8710, 81, 1793, 81, 48535, 83, 280, 308, 104, 1349, 77, 104, 1349, 81, 5408, 34, 614, 354, 1349, 77, 104, 1349, 81, 5408, 35, 614, 309, 6635, 77, 4636, 85, 81, 5408, 614, 310, 329, 77, 46278, 81, 5408, 614, 5556, 15711, 100, 388, 279, 77, 98, 3499, 81, 5408, 1130, 284, 8710, 81, 1793, 81, 39, 1953, 280, 308, 349, 15351, 352, 77, 349, 15351, 352, 81, 39, 1953, 614, 15711, 100, 388, 279, 77, 98, 3499, 81, 39, 1953, 614, 2855, 310, 329, 77, 46278, 81, 39, 1953 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 0, 0, 3, 3, 3, 3, 2, 2, 0, 0, 3, 3, 3, 2, 2, 0, 0, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 0, 0, 3, 3, 3, 2, 2, 4, 0, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 0, 0, 3, 3, 3, 2, 2, 3, 0, 0, 3, 2, 2, 0, 0, 4, 3, 4, 4, 3, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 5, 6, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 0, 1, 1, 2, 2, 1, 1, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 3, 3, 4, 4, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 5, 4, 4, 7, 6, 6, 5, 5, 6, 2, 2, 5, 5, 4, 4, 17, 17, 17, 16, 17, 17, 17, 17, 17, 17, 16, 15, 15, 17, 17, 17, 16, 17, 17, 17, 17, 17, 17, 16, 15, 17, 17, 17, 16, 17, 17, 17, 17, 17, 17, 16, 17, 17, 17, 17, 16, 17, 17, 17, 17, 16, 15, 15, 17, 16, 17, 17, 17, 16, 15, 17, 16, 17, 17, 17, 17, 17, 17, 16, 15, 17, 16, 17, 17, 17, 17, 17, 17, 16, 15, 17, 16, 17, 17, 17, 16, 15, 15, 17, 16, 17, 17, 17, 17, 17, 17, 17, 16, 15, 17, 16, 17, 17, 17, 17, 17, 17, 17, 16, 15, 17, 16, 17, 17, 17, 17, 17, 17, 17, 16, 15, 15, 17, 17, 17, 16, 17, 17, 17, 17, 17, 17, 16, 15, 17, 17, 17, 16, 17, 17, 17, 17, 17, 16, 15, 17, 17, 17, 16, 17, 17, 17, 17, 17, 17, 17, 16, 15, 15, 17, 16, 17, 17, 17, 17, 17, 17, 16, 14, 14, 15, 14, 13, 13, 14, 14, 12, 12, 13, 11, 11, 12, 10, 10, 11, 9, 9, 10, 8, 8, 9, 7, 7, 8, 6, 6, 7, 5, 5, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 5, 7, 6, 7, 7, 7, 7, 7, 6, 5, 7, 6, 7, 7, 7, 7, 6, 5, 7, 6, 7, 7, 7, 6, 5, 5, 7, 7, 7, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 19, 19, 19, 18, 19, 19, 19, 19, 19, 19, 18, 17, 19, 19, 19, 18, 19, 19, 19, 19, 19, 18, 17, 17, 19, 18, 19, 19, 19, 19 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 0, 6, 6, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 8, 8, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 23, 23, 1, 2, 23, 23, 0, 1, 1, 0, 24, 24, 1, 1, 1, 2, 1, 1, 2, 24, 24, 0, 1, 1, 0, 0, 3, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 3, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 5, 0, 0, 0, 0, 7, 2, 2, 2, 2, 7, 0, 0, 0, 9, 2, 2, 2, 9, 0, 0, 11, 2, 2, 2, 2, 2, 2, 11, 0, 0, 13, 2, 2, 2, 2, 2, 2, 13, 0, 0, 15, 2, 2, 2, 15, 0, 0, 0, 17, 2, 2, 2, 2, 2, 2, 2, 17, 0, 0, 19, 2, 2, 2, 2, 2, 2, 2, 19, 0, 0, 21, 2, 2, 2, 2, 2, 2, 2, 21, 0, 0, 0, 0, 0, 23, 2, 2, 2, 2, 2, 2, 23, 0, 0, 0, 0, 25, 2, 2, 2, 2, 2, 25, 0, 0, 0, 0, 27, 2, 2, 2, 2, 2, 2, 2, 27, 0, 0, 0, 29, 2, 2, 2, 2, 2, 2, 29, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 3, 2, 2, 2, 2, 2, 3, 2, 0, 5, 2, 2, 2, 2, 5, 2, 0, 7, 2, 2, 2, 7, 2, 2, 0, 0, 0, 9, 2, 2, 2, 2, 9, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 3, 0, 0, 0, 5, 2, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 35674, 1188, 35674, 203, 465, 15798, 203, 823, 2108, 59, 35, 42, 96, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 21794, 280, 35674, 440, 5007, 392, 225, 38, 38, 38, 38, 30, 11570, 3613, 392, 313, 525, 555, 5007, 44, 38, 38, 38, 38, 657, 291, 630, 32, 21794, 32, 1366, 346, 291, 630, 32, 21794, 32, 1676, 440, 525, 555, 5007, 44, 38, 38, 38, 38, 33, 21794, 31, 1786, 33, 4882, 33, 916, 33, 858, 81, 91, 35, 42, 96, 32, 916, 657, 284, 665, 894, 81, 91, 35, 42, 96, 26, 784, 711, 291, 26045, 723, 280, 2706, 103, 34, 34, 5308, 78, 103, 34, 34, 56, 40, 78, 103, 34, 34, 55, 38, 78, 103, 34, 34, 4423, 78, 103, 34, 34, 54, 40, 78, 103, 34, 34, 53, 38, 766, 103, 34, 34, 55, 41, 78, 103, 34, 34, 55, 42, 78, 103, 34, 34, 55, 43, 766, 103, 34, 34, 8709, 78, 103, 34, 34, 56, 35, 766, 103, 34, 34, 55, 42, 78, 103, 34, 34, 55, 34, 78, 103, 34, 34, 56, 43, 78, 103, 34, 34, 56, 36, 20, 291, 831, 44709, 280, 2706, 103, 53, 39, 56, 38, 78, 103, 53, 39, 54, 34, 20, 291, 663, 17855, 280, 2706, 103, 38, 55, 36, 54, 78, 103, 40, 39, 42, 41, 20, 291, 594, 30525, 280, 2706, 103, 37, 34, 41, 55, 78, 103, 37, 34, 41, 41, 20, 291, 37116, 280, 14248, 23, 49, 1736, 29, 110, 9726, 22189, 291, 630, 32, 6967, 81, 878, 440, 495, 723, 392, 26045, 723, 27, 291, 630, 32, 6967, 81, 878, 440, 93, 44709, 392, 831, 44709, 27, 291, 630, 32, 6967, 81, 878, 440, 42220, 392, 663, 17855, 27, 291, 630, 32, 6967, 81, 878, 440, 92, 30525, 392, 594, 30525, 27, 291, 630, 32, 6967, 81, 878, 440, 86, 28321, 392, 37116, 27, 284, 665, 6144, 81, 878, 26, 784, 30, 804, 30, 2799, 711, 291, 15805, 280, 630, 32, 21794, 291, 630, 32, 5066, 23093, 26, 6171, 32, 297, 81, 878, 81, 2689, 26, 3140, 490, 291, 4648, 280, 15805, 32, 371, 81, 878, 26, 314, 27, 291, 630, 32, 5299, 26, 3140, 30, 4648, 27, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 21794, 32, 4048, 346, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 15798, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 10, 10, 8, 9, 9, 9, 9, 8, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 7, 4, 4, 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, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 6, 6, 8, 8, 9, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 7, 8, 4, 4, 7, 8, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 7, 8, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 1, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 1, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 1, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 0, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 0, 2, 1, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 316, 203, 1070, 3619, 32725, 32, 22235, 1188, 24683, 10851, 21055, 30, 18044, 21055, 30, 810, 6332, 30, 8153, 30, 766, 284, 2305, 30, 1244, 30, 458, 30, 1471, 30, 16962, 203, 1070, 3619, 32725, 32, 1956, 1188, 3319, 30, 14533, 30, 16734, 30, 30465, 30, 3270, 30, 892, 30, 766, 284, 5104, 30, 447, 24661, 30, 24849, 30, 2619, 12616, 203, 505, 464, 505, 280, 2107, 3489, 7346, 21055, 370, 330, 13543, 21055, 370, 330, 66, 29358, 21055, 370, 330, 68, 2003, 21055, 370, 2607, 330, 63, 545, 2518, 21055, 370, 330, 72, 2060, 21055, 370, 330, 1504, 3921, 21055, 370, 330, 15923, 21055, 370, 2607, 330, 53, 3925, 615, 21055, 370, 330, 34936, 21055, 370, 330, 12416, 928, 21055, 370, 330, 35670, 11653, 21055, 785, 203, 823, 9127, 7346, 21055, 26, 10851, 21055, 711, 284, 636, 280, 330, 5506, 7724, 25, 284, 20664, 280, 2107, 3938, 370, 330, 1805, 785, 284, 26719, 280, 2107, 8440, 1805, 785, 284, 7937, 280, 301, 291, 330, 2388, 950, 428, 324, 308, 100, 44860, 766, 102, 6155, 370, 3319, 471, 324, 308, 100, 25, 27054, 45, 29169, 13644, 15435, 46, 10494, 370, 447, 24661, 471, 324, 308, 100, 25, 13824, 32291, 96, 6505, 33, 4987, 96, 8666, 8302, 78, 96, 4586, 49, 12456, 1736, 10854, 96, 7243, 14533, 32, 6276, 471, 324, 308, 100, 25, 13824, 32291, 96, 6505, 78, 8088, 8302, 78, 96, 4586, 21194, 8088, 32291, 96, 6505, 13093, 14533, 32, 11235, 17333, 471, 324, 308, 4068, 1162, 400, 330, 465, 370, 330, 1762, 370, 330, 5301, 370, 330, 3648, 370, 330, 18319, 370, 330, 1536, 370, 400, 330, 21316, 370, 330, 12758, 370, 330, 9081, 370, 330, 452, 370, 330, 1449, 370, 330, 8358, 370, 330, 3255, 370, 400, 330, 658, 1028, 1425, 5202, 47, 100, 10255, 84, 370, 12809, 47, 100, 10255, 84, 1425, 1802, 30465, 471, 324, 308, 4068, 1162, 400, 330, 410, 37, 36, 370, 330, 410, 40, 38, 370, 330, 1774, 37, 36, 370, 330, 1774, 40, 38, 370, 330, 19513, 37, 36, 370, 330, 19513, 40, 38, 370, 400, 330, 8638, 37, 36, 370, 330, 8638, 40, 38, 370, 330, 101, 8638, 37, 36, 370, 330, 101, 8638, 40, 38, 370, 400, 330, 1808, 370, 330, 2627, 370, 330, 2420, 370, 330, 800, 370, 330, 3651, 1425, 12809, 47, 100, 10255, 84, 1425, 1802, 30465, 32, 620, 471, 324, 308, 100, 32312, 1508, 110, 1870, 5421, 84, 370, 30465, 32, 5465, 471, 324, 308, 100, 32312, 1320, 2502, 78, 101, 29, 7243, 810, 6332, 26, 13099, 32, 5916, 30, 3319, 471, 330, 1320, 1425, 324, 308, 100, 32312, 1436, 110, 8233, 2502, 78, 101, 29, 7243, 1802, 810, 6332, 26, 13099, 32, 10367, 30, 3319, 471, 330, 1436, 1425, 324, 308, 100, 32312, 3868, 110, 1363, 110, 2122, 2502, 78, 101, 29, 7243, 1802, 810, 6332, 26, 13099, 32, 10367, 30, 3319, 471, 330, 681, 1425, 324, 308, 100, 25, 1492, 40708, 1492, 370, 892, 471, 324, 308, 100, 10255, 2473, 28, 49, 33713, 892, 471, 324, 308, 100, 25, 4987, 86, 19650, 5327, 86 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 7, 7, 5, 7, 7, 2, 2, 4, 4, 7, 7, 7, 2, 2, 4, 4, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 10, 8, 7, 7, 10, 10, 11, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 11, 13, 13, 13, 10, 11, 13, 13, 13, 13, 10, 11, 13, 13, 13, 13, 8, 8, 8, 7, 7, 10, 10, 11, 11, 13, 13, 13, 13, 11, 13, 13, 13, 13, 11, 13, 13, 13, 13, 11, 13, 13, 13, 13, 11, 13, 13, 13, 13, 11, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 11, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 11, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 10, 11, 13, 13, 13, 13, 8, 8, 9, 10, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 12, 11, 12, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 12, 11, 12, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 12, 11, 12, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 15, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 4, 4, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 3, 2, 5, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 3, 2, 2, 7, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 3, 0, 0, 1, 2, 1, 5, 0, 0, 1, 2, 9, 9, 9, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 3, 0, 0, 1, 2, 11, 11, 3, 2, 11, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 13, 3, 2, 13, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 15, 0, 1, 0, 1, 2, 1, 1, 1, 15, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 17, 17, 0, 1, 0, 1, 2, 1, 1, 1, 17, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 19, 19, 0, 1, 0, 1, 2, 1, 1, 1, 19, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 21, 21, 2, 2, 0, 0, 1, 1, 1, 1, 23, 23, 2, 2, 0, 0, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 1070, 42406, 1188, 9637, 35, 203, 1070, 24379, 32, 15426, 1188, 475, 3551, 203, 1070, 4356, 26343, 1188, 4527, 203, 1070, 4356, 26343, 32, 2282, 1188, 5934, 81, 2263, 203, 1070, 4356, 26343, 32, 978, 37, 8524, 1188, 1946, 203, 1070, 4356, 26343, 32, 9404, 81, 3893, 1188, 17727, 984, 203, 1070, 4356, 26343, 32, 1436, 1188, 4578, 203, 1070, 4356, 26343, 32, 690, 1188, 551, 527, 30, 551, 527, 984, 203, 1070, 4356, 26343, 32, 39499, 1188, 447, 953, 203, 823, 475, 1706, 953, 308, 66, 953, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3124, 47, 2521, 30, 706, 47, 2521, 30, 4870, 47, 2521, 30, 3882, 47, 2521, 30, 20200, 47, 2521, 30, 803, 81, 2067, 47, 2521, 711, 291, 630, 32, 98, 280, 1665, 291, 630, 32, 99, 280, 1665, 291, 630, 32, 89, 280, 1665, 291, 630, 32, 107, 280, 1665, 291, 630, 32, 106, 280, 1665, 291, 415, 803, 81, 2067, 438, 646, 1665, 44, 324, 630, 1114, 1070, 81, 2055, 81, 678, 26, 761, 81, 2067, 30, 3882, 27, 324, 442, 291, 415, 4870, 438, 646, 1665, 44, 324, 630, 1114, 1070, 81, 2055, 81, 678, 81, 761, 26, 3607, 30, 3882, 27, 324, 442, 291, 415, 308, 2076, 438, 1665, 27, 461, 308, 605, 438, 646, 1665, 711, 324, 3124, 280, 4578, 26, 605, 27, 291, 415, 20200, 438, 646, 1665, 44, 324, 630, 32, 98, 30, 630, 32, 99, 30, 630, 32, 89, 30, 630, 32, 107, 280, 20200, 291, 813, 44, 324, 415, 3124, 438, 1665, 44, 400, 3636, 17727, 984, 463, 953, 1300, 1631, 646, 526, 3502, 683, 324, 415, 3124, 32, 371, 81, 878, 346, 863, 330, 9404, 31, 86, 422, 950, 400, 3636, 17727, 984, 463, 3817, 1202, 683, 324, 630, 32, 98, 280, 3124, 32, 371, 81, 317, 410, 346, 324, 630, 32, 99, 280, 3124, 32, 371, 81, 317, 410, 346, 324, 630, 32, 89, 280, 3124, 32, 371, 81, 317, 410, 346, 324, 630, 32, 107, 280, 3124, 32, 371, 81, 317, 410, 346, 291, 630, 32, 891, 280, 4527, 32, 2400, 81, 1322, 26, 784, 32, 98, 27, 284, 665, 619, 3651, 26, 784, 711, 291, 345, 280, 4578, 346, 291, 345, 32, 669, 81, 800, 463, 9404, 31, 86, 422, 683, 291, 345, 32, 669, 81, 317, 410, 26, 784, 32, 98, 27, 291, 345, 32, 669, 81, 317, 410, 26, 784, 32, 99, 27, 291, 345, 32, 669, 81, 317, 410, 26, 784, 32, 89, 27, 291, 345, 32, 669, 81, 317, 410, 26, 784, 32, 107, 27, 291, 442, 345, 32, 302, 3651, 346, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 32, 302, 3651, 346, 284, 665, 1156, 2888, 3207, 784, 711, 291, 420, 280, 3677, 26, 784, 32, 371, 81, 426, 1157, 291, 420, 280, 420, 319, 225, 37, 41, 474, 3677, 26, 784, 32, 98, 27, 291, 420, 280, 420, 319, 225, 37, 41, 474, 3677, 26, 784, 32, 99, 27, 291, 420, 280, 420, 319, 225, 37, 41, 474, 3677, 26, 784, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 1, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 9, 9, 6, 6, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 6, 6, 4, 4, 5, 9, 8, 8, 7, 6, 6, 9, 8, 8, 8, 7, 5, 5, 8, 8, 10, 11, 10, 4, 4, 5, 6, 6, 6, 5, 5, 5, 10, 11, 9, 9, 10, 11, 9, 9, 10, 11, 9, 9, 10, 11, 8, 8, 5, 5, 6, 6, 6, 8, 9, 9, 8, 8, 8, 10, 12, 12, 14, 14, 14, 14, 14, 14, 14, 7, 7, 8, 11, 12, 12, 12, 11, 9, 9, 11, 11, 11, 11, 11, 8, 8, 10, 12, 12, 14, 14, 14, 7, 7, 10, 11, 9, 9, 11, 12, 12, 12, 12, 11, 7, 7, 10, 11, 9, 9, 11, 12, 12, 12, 12, 11, 7, 7, 10, 11, 9, 9, 11, 12, 12, 12, 12, 11, 7, 7, 10, 11, 9, 9, 11, 12, 12, 12, 12, 11, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 5, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 11, 10, 11, 11, 11, 10, 4, 4, 6, 6, 8, 8, 9, 9, 7, 7, 9, 11, 10, 11, 9, 4, 4, 6, 6, 8, 8, 9, 9, 7, 7, 9, 11, 10, 11, 9, 4, 4, 6, 6, 8, 8, 9, 9, 7, 7, 9, 11, 10 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 2, 2, 5, 5, 0, 6, 6, 0, 1, 2, 2, 2, 6, 6, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 10, 10, 1, 1, 10, 1, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 0, 0, 13, 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, 4, 4, 5, 0, 0, 1, 1, 1, 5, 5, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 6, 1, 1, 1, 6, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 4, 4, 7, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 7, 7, 0, 0, 1, 1, 1, 4, 4, 8, 1, 1, 1, 8, 8, 8, 0, 2, 0, 0, 2, 2, 0, 0, 4, 2, 0, 0, 6, 2, 0, 0, 8, 8, 4, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 6, 0, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1 ]
[ 465, 3920, 45315, 32, 2067, 619, 2830, 203, 465, 3920, 45315, 32, 5558, 32, 4229, 32, 2282, 619, 4942, 203, 465, 3920, 45315, 32, 5558, 32, 4229, 32, 668, 81, 20840, 619, 1149, 81, 20840, 203, 465, 3920, 45315, 32, 5558, 32, 4229, 32, 1069, 668, 619, 9661, 668, 203, 823, 6424, 81, 14463, 81, 34486, 26, 1069, 668, 32, 4229, 81, 1069, 668, 711, 284, 665, 9169, 26, 784, 711, 291, 4942, 32, 470, 81, 2796, 81, 7910, 26, 784, 27, 291, 32019, 280, 1149, 81, 20840, 32, 4229, 81, 668, 81, 20840, 26, 784, 1114, 1163, 547, 12979, 346, 291, 436, 10790, 328, 32019, 44, 324, 636, 280, 596, 26, 5634, 32, 5634, 81, 426, 32, 23881, 1787, 1157, 324, 415, 636, 610, 313, 6789, 563, 400, 534, 1729, 280, 10790, 32, 371, 81, 3994, 81, 7594, 440, 6789, 657, 263, 400, 436, 11504, 328, 534, 1729, 44, 528, 6761, 11504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 3, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 3, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 6, 6, 11, 11, 10, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 9, 8, 4, 4, 5, 5, 5, 5, 5, 5, 8, 8, 10, 14, 13, 14, 14, 14, 12, 13, 13, 12, 6, 6, 7, 8, 8, 10, 10, 7, 7, 11, 10, 10, 12, 13, 13, 13, 13, 13, 12, 14, 14, 8, 8, 8, 9, 9, 9, 10, 9, 9, 9, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 4, 0, 6, 1, 1, 0, 2, 2, 0, 0, 2, 0, 4, 0, 6, 6, 6, 1, 1, 2, 2, 0, 3, 3, 0, 0, 2, 0, 4, 0, 6, 6, 1, 1, 2, 0, 4, 4, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 5, 5, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 1, 1, 3, 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 ]
[ 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 13736, 500, 81, 3337, 203, 1648, 81, 11043, 44, 313, 36, 32, 35, 20, 203, 4021, 81, 2310, 44, 4784, 8522, 14303, 5414, 432, 14091, 203, 2310, 44, 284, 429, 4784, 8522, 14303, 5414, 432, 14091, 432, 37353, 31, 2636, 34789, 203, 2116, 44, 971, 3281, 516, 4025, 1588, 11931, 2709, 4025, 1588, 42, 27, 203, 8886, 44, 284, 429, 1348, 2297, 438, 2329, 1654, 372, 1487, 16032, 14091, 3751, 619, 397, 309, 1874, 461, 5258, 975, 101, 32, 284, 429, 4261, 281, 4846, 2406, 432, 5624, 2818, 804, 3945, 1119, 12792, 732, 32, 2616, 2280, 30, 397, 1412, 844, 1244, 312, 5258, 975, 2568, 30, 322, 5605, 1603, 10738, 101, 397, 544, 9437, 7041, 432, 37353, 31, 2636, 32, 203, 2184, 44, 284, 2568, 44, 291, 3048, 44, 324, 429, 13529, 636, 432, 2568, 30, 595, 32, 87, 32, 40238, 35, 33, 35, 30, 2601, 31, 3237, 35, 34, 32, 291, 2129, 44, 861, 291, 1244, 44, 744, 284, 5605, 81, 1293, 44, 291, 3048, 44, 324, 429, 9128, 8070, 1353, 1603, 432, 322, 2568, 32, 291, 2129, 44, 901, 291, 1244, 44, 973, 291, 16682, 44, 2107, 417, 1195, 1746, 785, 284, 3048, 44, 291, 3048, 44, 324, 429, 13199, 3048, 32, 291, 2129, 44, 901, 291, 1244, 44, 744, 284, 2926, 44, 291, 3048, 44, 324, 429, 31580, 439, 26, 4772, 36, 27, 556, 439, 26, 4772, 37, 27, 1603, 432, 322, 2568, 32, 291, 2129, 44, 901, 291, 1244, 44, 744, 291, 16682, 44, 2107, 1823, 36, 1195, 1823, 37, 785, 284, 1603, 44, 291, 3048, 44, 324, 429, 23759, 10848, 1603, 432, 322, 2869, 32, 291, 2129, 44, 861, 291, 1244, 44, 5024, 291, 16682, 44, 2107, 2689, 1195, 3596, 304, 1195, 1536, 785, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 21, 15545, 600, 2568, 438, 312, 15200, 225, 37, 2601, 461, 688, 561, 1401, 322, 7240, 3048, 203, 31, 13736, 500, 81, 3337, 44, 2568, 47, 43131, 35, 33, 35, 3048, 1057, 30096, 810, 35603, 25, 2926, 47, 1823, 37, 3408, 6832, 17041, 81, 12256, 2038, 203, 21, 9128, 2835, 600, 2568, 203, 31, 13736, 500, 81, 3337, 44, 2568, 47, 43131, 36, 33, 35, 3408, 6832, 17041, 81, 12256, 2038, 5605, 81, 1293, 47, 1746, 203, 21, 6478, 1169, 5258, 975, 14091, 203, 31, 13736, 500, 81, 3337, 44, 2568, 47, 5837, 975, 1603, 47, 3596, 304, 3408, 6832, 17041, 81, 12256, 2038, 203, 21, 6478, 1169, 16032, 14091, 203, 31, 13736, 500, 81, 3337, 44, 2568, 6832, 1623, 2038, 1603, 47, 3596, 304, 3408, 6832, 17041, 81, 12256, 2038, 334, 623, 81, 3028, 44, 284, 429, 5258, 975, 284, 429, 2601, 3237, 284, 429, 309, 4788, 203, 21, 9128, 973, 1169, 484, 20830, 14091, 203, 31, 13736, 500, 81, 3337, 44, 2568, 47, 87, 20830, 3408, 6832, 17041, 81, 12256, 2038, 5605, 81, 1293, 47, 417, 203, 21, 9128, 2835, 11865, 14091, 308, 18960, 461, 16032, 27, 203, 31, 13736, 500, 81, 3337, 44, 2568, 47, 464, 3408, 6832, 17041, 81, 12256, 2038, 5605 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 30, 7976, 81, 465, 203, 1070, 638, 431, 100, 2423, 1188, 319, 203, 1070, 638, 3378, 1188, 319, 203, 1070, 638, 1188, 1015, 81, 890, 2180, 203, 505, 464, 505, 280, 428, 101, 436, 309, 328, 4921, 346, 415, 646, 309, 32, 15990, 14728, 12357, 203, 1070, 6436, 32, 4266, 1188, 2108, 265, 203, 858, 280, 2108, 265, 922, 858, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 4, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 6, 3, 4, 5, 7, 8, 7, 9, 0, 1, 1, 2, 3, 1, 1, 3, 0, 3, 2, 2, 5, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 3, 1, 0, 2, 1, 2, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 1070, 6234, 1188, 1048, 619, 14835, 924, 203, 465, 4395, 203, 1070, 540, 20056, 32, 725, 32, 3604, 81, 22580, 1188, 22337, 20365, 203, 823, 2108, 81, 3604, 81, 22580, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 6036, 81, 9184, 81, 731, 26, 784, 711, 291, 2181, 280, 301, 324, 330, 46674, 950, 4395, 32, 3660, 1026, 291, 320, 291, 1123, 280, 22337, 20365, 14605, 1132, 27, 291, 16215, 81, 1580, 81, 3613, 35, 280, 4395, 32, 3660, 346, 291, 1359, 280, 301, 324, 330, 371, 81, 5866, 32, 601, 81, 853, 32, 1567, 81, 1204, 81, 669, 32, 2671, 81, 7469, 950, 14835, 924, 30, 291, 320, 291, 16215, 81, 1580, 81, 3613, 35, 32, 7799, 81, 3613, 14605, 1163, 27, 291, 16215, 81, 1580, 81, 3613, 36, 280, 4395, 32, 3660, 346, 291, 1123, 32, 8358, 81, 13606, 280, 428, 324, 16215, 81, 1580, 81, 3613, 35, 30, 324, 16215, 81, 1580, 81, 3613, 36, 30, 291, 1481, 291, 7050, 81, 3613, 280, 4395, 32, 3660, 346, 291, 1123, 1114, 1567, 81, 1204, 81, 669, 81, 4531, 26, 5092, 81, 3613, 27, 291, 16215, 81, 1580, 81, 3613, 35, 32, 371, 81, 5866, 32, 862, 81, 10910, 81, 8232, 81, 1793, 346, 291, 16215, 81, 1580, 81, 3613, 36, 32, 371, 81, 5866, 32, 862, 81, 10910, 81, 8232, 81, 1793, 346, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 15798, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 1, 1, 2, 2, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 10, 10, 8, 10, 11, 10, 7, 7, 4, 4, 6, 6, 8, 8, 10, 8, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 7, 7, 7, 4, 4, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 9, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 8, 8, 7, 7, 7, 4, 4, 7, 7, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 8, 8, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 2, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 4, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1070, 594, 17321, 36, 32, 4882, 4676, 1188, 971, 17321, 7233, 203, 1070, 594, 17321, 36, 1188, 10572, 30, 36649, 30, 8091, 14339, 30, 766, 275, 38218, 14339, 30, 36649, 924, 30, 6089, 30, 766, 275, 438, 81, 6376, 30, 10838, 30, 14580, 4888, 203, 1070, 594, 17321, 36, 32, 2304, 1188, 22350, 573, 265, 203, 2121, 280, 10572, 346, 203, 823, 24683, 1893, 38438, 2732, 26, 60, 17321, 7233, 711, 284, 665, 894, 81, 1094, 81, 363, 81, 4890, 26, 784, 711, 291, 645, 594, 17321, 36, 32, 18138, 1188, 42550, 318, 6330, 291, 436, 4533, 328, 10572, 1026, 42550, 318, 6330, 2262, 324, 42963, 280, 4533, 32, 1070, 81, 800, 44926, 9214, 32, 3028, 346, 110, 668, 2038, 683, 324, 1201, 42963, 32, 3169, 26, 3986, 12516, 3028, 950, 225, 38, 36, 1748, 610, 7185, 463, 3028, 370, 225, 38, 36, 2177, 20, 324, 42963, 280, 4533, 32, 1070, 81, 800, 44926, 9214, 110, 2437, 440, 3028, 657, 346, 110, 668, 2038, 683, 324, 1201, 42963, 32, 3169, 26, 3986, 12516, 3028, 950, 225, 38, 36, 1748, 610, 7185, 463, 3028, 370, 225, 38, 36, 2177, 20, 324, 42963, 280, 4533, 32, 1070, 81, 800, 44926, 9214, 1365, 3028, 1446, 2038, 683, 324, 1201, 42963, 32, 3169, 26, 3986, 12516, 3028, 950, 225, 38, 36, 1748, 610, 330, 38, 36, 25, 284, 665, 894, 81, 3220, 2265, 26, 784, 711, 291, 665, 34207, 81, 4108, 81, 2951, 26, 853, 711, 324, 415, 786, 438, 1665, 44, 400, 786, 280, 1044, 2699, 324, 442, 786, 291, 4533, 280, 10572, 26, 28598, 47, 28598, 81, 4108, 81, 2951, 27, 291, 42963, 280, 4533, 32, 1070, 81, 800, 463, 4572, 436, 1623, 328, 8690, 3328, 110, 1656, 1623, 2038, 4572, 22620, 3328, 683, 291, 1201, 42963, 32, 3169, 26, 4948, 4310, 2521, 30, 225, 35, 30, 313, 3986, 2131, 610, 47912, 35, 110, 3986, 25, 291, 42963, 280, 4533, 32, 1070, 81, 800, 10385, 1656, 4909, 16740, 683, 291, 1201, 42963, 32, 3169, 346, 610, 4145, 6457, 284, 665, 894, 81, 10565, 26, 784, 711, 291, 3946, 280, 225, 35, 30, 225, 36, 30, 225, 37, 291, 281, 280, 22350, 573, 265, 2740, 3028, 27, 291, 436, 1623, 328, 3946, 474, 3946, 44, 324, 1201, 281, 32, 1700, 610, 1623, 324, 1201, 281, 32, 1978, 346, 610, 1623, 291, 281, 32, 1978, 346, 291, 1201, 281, 32, 1700, 610, 225, 36, 291, 281, 32, 4534, 346, 291, 1201, 281, 32, 1700, 610, 225, 35, 284, 665, 894, 81, 23483, 26, 784, 711, 291, 9810, 280, 4533, 32, 6993, 81, 7672, 440, 3986, 657, 291, 1201, 9810, 346, 438, 1665, 291, 1201, 9810, 26, 3986, 47, 38, 36, 27, 610, 225, 38, 36, 291, 9810, 36, 280, 4533, 32, 6993, 81, 7672, 440, 3986, 392, 3469, 81, 452, 81, 4108, 47, 2700, 27, 291, 1201, 438, 81, 6376, 26, 3385, 36, 1157, 291, 9810, 280, 4533, 32, 6993, 81, 7672, 440, 38, 36, 474, 9214, 657, 291, 1201, 9810, 26, 3986, 47, 38, 36, 27, 610, 225, 42, 38, 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, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 3, 1, 1, 3, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 6, 7, 5, 5, 7, 7, 4, 4, 5, 5, 5, 8, 6, 8, 8, 8, 5, 5, 8, 8, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 10, 11, 10, 12, 11, 15, 15, 13, 14, 14, 12, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 10, 11, 10, 12, 11, 15, 15, 13, 14, 14, 12, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 6, 6, 7, 10, 11, 10, 12, 11, 15, 15, 13, 14, 14, 12, 8, 8, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 7, 8, 8, 7, 7, 7, 10, 10, 12, 6, 6, 7, 4, 4, 6, 6, 8, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 10, 9, 11, 10, 10, 11, 10, 10, 12, 12, 6, 6, 8, 8, 8, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 7, 7, 8, 7, 7, 8, 4, 4, 6, 6, 8, 8, 8, 10, 8, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 7, 9, 10, 8, 8, 6, 6, 7, 10, 11, 10, 8, 8, 4, 4, 7, 8, 7, 4, 4, 5, 7, 8, 6, 6, 7, 4, 4, 7, 8, 7, 4, 4, 5, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 4, 4, 5, 8, 6, 6, 4, 4, 5, 8, 10, 9, 10, 10, 8, 6, 6, 7, 7, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 10, 9, 10, 8, 4, 4, 5, 7, 7, 7, 9, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 4, 4, 5, 8, 10, 9, 10, 10, 8, 6, 6, 7, 7, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 9, 2, 0, 2, 2, 0, 2, 2, 2, 2, 16, 2, 0, 0, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 5, 5, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 3, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 3, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 5, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 1, 4, 4, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 2, 1, 0, 1, 1, 2, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 5, 0, 2, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 1, 1, 5, 5, 1, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 4, 0, 2, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 6, 0, 2, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 4, 4, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 3, 2, 1, 4, 4, 4, 0, 0, 1, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 4, 4 ]