Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
depths
listlengths
512
512
sibling_idxs
listlengths
512
512
[ 1070, 597, 18431, 782, 32, 4432, 1188, 28949, 21809, 5144, 33449, 18170, 5863, 203, 465, 6436, 619, 2065, 203, 96, 81, 3953, 280, 225, 35, 34, 34, 34, 34, 203, 3534, 280, 225, 37, 43, 203, 3953, 280, 2065, 32, 3855, 32, 39385, 26, 96, 81, 3953, 30, 3534, 27, 203, 96, 81, 3527, 280, 225, 35, 34, 34, 203, 15178, 280, 28949, 21809, 5144, 33449, 18170, 5863, 26, 96, 81, 3527, 27, 203, 15178, 32, 4698, 26, 3953, 27, 203, 3953, 81, 605, 280, 4981, 2867, 96, 81, 3953, 306, 36, 10056, 203, 3953, 81, 858, 280, 4981, 77, 96, 81, 3953, 306, 36, 403, 79, 203, 15178, 32, 4698, 26, 3953, 81, 605, 30, 3953, 81, 858, 27, 203, 15178, 81, 6656, 280, 31587, 32, 25655, 1639, 81, 1160, 26, 3953, 27, 203, 2455, 81, 3953, 280, 2065, 32, 3855, 32, 39385, 26, 96, 81, 3953, 30, 3534, 27, 203, 751, 81, 5243, 280, 31587, 32, 9356, 81, 751, 81, 5243, 26, 2455, 81, 3953, 27, 203, 5020, 280, 31587, 32, 5020, 26, 2455, 81, 3953, 27, 203, 465, 420, 39, 978, 203, 761, 280, 420, 39, 978, 32, 974, 463, 8146, 81, 14665, 57, 2826, 32, 90, 39, 1195, 105, 683, 203, 17630, 280, 803, 32, 1297, 81, 1363, 463, 1160, 81, 4698, 3251, 683, 203, 15178, 32, 1821, 26, 17630, 27, 203, 761, 32, 2679, 346, 203, 15178, 81, 890, 280, 28949, 21809, 5144, 33449, 18170, 5863, 346, 203, 761, 280, 420, 39, 978, 32, 974, 463, 8146, 81, 14665, 57, 2826, 32, 90, 39, 1195, 100, 683, 203, 17630, 280, 803, 710, 1160, 81, 4698, 3251, 785, 203, 15178, 81, 890, 32, 850, 81, 363, 81, 1664, 26, 17630, 30, 3953, 27, 203, 761, 32, 2679, 346, 203, 15178, 32, 4698, 26, 3953, 30, 38666, 1057, 751, 370, 5660, 1057, 1772, 983, 370, 11358, 1057, 105, 17683, 2790, 81, 1160, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 5, 4, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 0, 4, 3, 4, 3, 4, 3, 0, 3, 3, 3, 2, 2, 3, 6, 6, 6, 5, 6, 4, 0, 3, 3, 3, 2, 2, 3, 6, 6, 6, 5, 6, 4, 3, 0, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 4, 5, 4, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 5, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 0, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 0, 1, 1, 3, 3, 0, 3, 2, 2, 5, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 6, 6, 0, 4, 3, 4, 3, 4, 3, 0, 4, 3, 4, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 5, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 3, 5, 5, 5, 5, 5, 0, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 0, 4, 3, 4, 3, 0, 4, 3, 4, 3, 4, 3, 5, 4, 6, 6, 5, 4, 6, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 3, 1, 2, 0, 5, 1, 1, 2, 0, 7, 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 ]
[ 465, 2322, 32, 983, 619, 3089, 203, 465, 345, 941, 203, 1070, 345, 941, 32, 15183, 1188, 3964, 203, 605, 81, 983, 280, 3964, 32, 605, 81, 983, 346, 203, 1294, 81, 2951, 81, 5978, 81, 10555, 280, 3089, 32, 2524, 26, 284, 706, 81, 983, 30, 330, 1023, 57, 370, 330, 3287, 370, 330, 265, 15964, 81, 1294, 32, 42861, 683, 203, 1294, 81, 2951, 81, 5978, 280, 345, 941, 32, 716, 32, 850, 81, 1294, 81, 42861, 26, 1294, 81, 2951, 81, 5978, 81, 10555, 27, 203, 1294, 81, 10555, 280, 3089, 32, 2524, 26, 605, 81, 983, 30, 330, 1023, 57, 370, 330, 3287, 370, 330, 3287, 81, 14004, 1874, 81, 1294, 32, 42861, 683, 203, 1294, 280, 345, 941, 32, 716, 32, 850, 81, 1294, 81, 42861, 26, 1294, 81, 10555, 27, 203, 1294, 32, 470, 81, 1291, 89, 81, 3576, 463, 14298, 370, 15443, 47, 1815, 27, 203, 1294, 32, 1338, 710, 3371, 101, 785, 1454, 2107, 4153, 57, 225, 34, 39, 37, 785, 261, 203, 1294, 81, 2951, 81, 5978, 32, 1338, 710, 3371, 101, 785, 280, 428, 284, 18568, 436, 18568, 328, 5081, 32, 1338, 710, 3371, 101, 785, 415, 330, 4153, 57, 25, 646, 328, 18568, 79, 203, 1294, 81, 2951, 81, 5978, 32, 669, 81, 11030, 26, 284, 428, 593, 32, 2991, 346, 436, 12052, 328, 5081, 32, 1338, 710, 510, 754, 785, 415, 330, 4153, 57, 25, 646, 328, 12052, 710, 3801, 47289, 203, 15964, 81, 12626, 280, 345, 941, 32, 7924, 81, 1294, 81, 331, 17965, 26, 284, 5081, 81, 2951, 81, 5978, 30, 273, 887, 47, 34, 30, 273, 1449, 47, 2521, 27, 203, 5057, 280, 345, 941, 32, 1809, 81, 5057, 26, 1294, 27, 203, 17738, 280, 345, 941, 32, 16514, 101, 26, 1294, 30, 5216, 30, 1692, 81, 314, 47, 35, 30, 273, 887, 6593, 34, 32, 36, 30, 273, 1449, 47, 34, 32, 39, 30, 528, 22340, 47, 3736, 34, 32, 36, 30, 225, 34, 32, 34, 471, 5973, 449, 47, 37, 30, 261, 528, 9541, 1057, 731, 683, 261, 203, 15964, 81, 12626, 81, 23469, 280, 345, 941, 32, 7924, 81, 331, 17965, 26, 17738, 30, 273, 1449, 47, 34, 27, 203, 15964, 81, 12626, 32, 3399, 26, 1294, 81, 2951, 81, 5978, 32, 1338, 30, 20460, 47, 1815, 27, 203, 15964, 81, 12626, 81, 23469, 32, 3399, 26, 17738, 32, 1338, 30, 20460, 47, 1815, 27, 203, 15964, 81, 12626, 81, 1582, 280, 345, 941, 32, 7924, 81, 331, 17965, 26, 17738, 30, 273, 1449, 47, 34, 4317, 1411, 1057, 2837, 370, 10000, 11263, 47, 2521, 27, 203, 5092, 20097, 280, 22530, 32, 14298, 346, 203, 5092, 20097, 32, 3399, 81, 4894, 26, 15964, 81, 12626, 81, 1582, 30, 1133, 81, 2243, 1057, 101, 683, 203, 15964, 81, 331, 4849, 280, 345, 941, 32, 7924, 81, 331, 17965, 26, 284, 22530, 30, 273, 1449, 47, 34, 4317, 1411, 37346, 957, 48868, 370, 330, 615, 1945, 93, 1425, 442, 81, 37491, 47, 1815, 30, 284, 11263, 47, 2521, 27, 203, 5092, 20097, 32, 3399, 81, 4894 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 5, 5, 4, 4, 6, 6, 6, 4, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 6, 5, 6, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 6, 4, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 6, 5, 6, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 0, 4, 3, 4, 4, 4, 4, 4, 4, 3, 5, 5, 3, 4, 5, 3, 0, 5, 4, 5, 3, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 4, 5, 3, 5, 5, 5, 2, 2, 3, 3, 3, 4, 4, 4, 6, 7, 5, 7, 7, 7, 3, 4, 7, 7, 7, 5, 5, 5, 3, 0, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 7, 6, 7, 6, 4, 5, 5, 5, 7, 8, 6, 8, 8, 8, 4, 5, 8, 8, 8, 6, 6, 6, 7, 9, 9, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 4, 0, 3, 2, 2, 5, 4, 5, 5, 5, 4, 5, 4, 0, 3, 2, 2, 5, 4, 5, 5, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 7, 7, 7, 4, 4, 6, 5, 6, 6, 6, 4, 4, 4, 5, 6, 8, 8, 8, 6, 6, 7, 7, 7, 6, 4, 6, 5, 6, 4, 4, 4, 4, 5, 7, 7, 0, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 6, 5, 6, 4, 0, 4, 4, 4, 3, 4, 3, 5, 5, 5, 5, 5, 4, 5, 3, 3, 4, 5, 3, 0, 4, 4, 4, 4, 4, 3, 4, 3, 5, 4, 5, 3, 3, 4, 5, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 5, 4, 5, 4, 4, 6, 5, 6, 6, 4, 5, 7, 7, 4, 4, 5, 6, 4, 0, 3, 3, 2, 2, 4, 5, 4, 0, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 5, 5, 4, 6, 6, 0, 3, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 5, 4, 4, 4, 4, 4, 6, 5, 6, 6, 4, 5, 8, 8, 8, 6, 8, 8, 8, 8, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 0, 4, 4, 3, 4, 4, 4 ]
[ 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 3, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 3, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 1, 0, 5, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 5, 2, 1, 1, 0, 7, 1, 1, 1, 1, 1, 0, 9, 2, 2, 2, 1, 1, 1, 11, 2, 1, 1, 1, 2, 2, 3, 3, 3, 2, 1, 0, 13, 2, 1, 1, 1, 1, 15, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 1, 5, 1, 2, 1, 1, 7, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 3, 2, 2, 1, 5, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 7, 2, 1, 1, 1, 9, 2, 1, 0, 0, 0, 0, 2, 2, 2 ]
[ 465, 2322, 203, 465, 22977, 203, 465, 16539, 203, 465, 5237, 203, 465, 29590, 203, 465, 745, 331, 385, 203, 589, 2575, 2262, 284, 4209, 280, 745, 331, 385, 32, 1409, 331, 385, 4064, 1427, 8223, 284, 5867, 280, 4209, 710, 26942, 81, 2413, 785, 284, 5867, 81, 6586, 280, 4209, 710, 287, 6426, 31, 6586, 785, 284, 5063, 1832, 280, 4209, 710, 287, 6008, 1832, 785, 284, 4986, 81, 1515, 280, 4209, 710, 287, 10504, 31, 1515, 785, 284, 415, 617, 297, 81, 2912, 26, 6426, 711, 291, 415, 22977, 32, 7900, 463, 2912, 7831, 324, 1519, 280, 617, 2912, 81, 6358, 26, 6426, 30, 5867, 81, 6586, 27, 324, 617, 1832, 81, 16519, 101, 26, 983, 30, 5063, 1832, 30, 4986, 81, 1515, 27, 291, 813, 44, 324, 5237, 32, 4775, 463, 6574, 2443, 5554, 11834, 284, 813, 44, 291, 5237, 32, 4775, 463, 16746, 5338, 11834, 203, 589, 617, 297, 81, 2912, 26, 6426, 711, 284, 442, 308, 6426, 32, 15990, 463, 641, 555, 933, 32, 508, 25844, 556, 324, 5867, 32, 15990, 463, 2912, 555, 683, 556, 324, 5867, 32, 15990, 463, 641, 555, 2912, 32, 10574, 6126, 32, 1299, 33, 2847, 203, 589, 617, 2912, 81, 6358, 26, 965, 30, 5867, 81, 6586, 47, 2521, 711, 284, 1779, 81, 1515, 280, 29590, 32, 4765, 86, 1433, 26, 4254, 1057, 16519, 6168, 31, 683, 284, 2016, 280, 2107, 2912, 370, 330, 6358, 370, 1984, 30, 1779, 81, 1515, 79, 284, 1459, 463, 5608, 2524, 26, 2501, 490, 284, 16539, 32, 1553, 81, 1851, 26, 2501, 27, 284, 415, 5867, 81, 6586, 44, 291, 16539, 32, 1553, 81, 1851, 4901, 2912, 370, 330, 15199, 370, 5867, 81, 6586, 614, 24390, 47, 1433, 81, 1515, 27, 284, 442, 1779, 81, 1515, 203, 589, 617, 1832, 81, 16519, 101, 26, 983, 30, 5063, 1832, 47, 2700, 30, 4986, 81, 1515, 47, 2700, 711, 284, 1596, 44, 291, 436, 4921, 983, 30, 4950, 26719, 328, 2322, 32, 11905, 26, 983, 711, 324, 415, 330, 16519, 6168, 32, 6045, 25, 328, 26719, 556, 5608, 16519, 6168, 32, 6045, 25, 328, 26719, 44, 400, 617, 1832, 81, 16519, 26, 1515, 983, 30, 5063, 1832, 30, 4986, 81, 1515, 27, 284, 2940, 16539, 32, 9402, 2861, 924, 619, 484, 44, 291, 5237, 32, 4775, 26, 87, 32, 601, 687, 27, 284, 8295, 44, 291, 415, 4986, 81, 1515, 44, 324, 1459, 26, 400, 330, 4282, 883, 17787, 322, 6895, 2074, 5338, 328, 19553, 1643, 26, 528, 1519, 490, 291, 813, 44, 324, 22977, 32, 100, 41718, 26, 983, 27, 203, 589, 617, 1832, 81, 16519, 26, 983, 30, 5063, 1832, 47, 2700, 30, 4986, 81, 1515, 47, 2700, 711, 284, 23533, 6168, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 463, 1771, 370, 330, 16519, 6168, 2847, 284, 1459, 463, 29875, 322, 8710, 3320, 30865, 284, 16539, 32, 1553, 81, 1851, 2009, 16519, 6168, 30, 330, 1877, 3490, 284, 1459, 463, 8784, 2782, 19553, 1643, 26, 983, 490, 284, 2016, 280, 428, 16519, 6168, 30, 6470, 86, 785, 284, 415, 5063 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 1, 1, 4, 4, 7, 7, 6, 7, 7, 7, 6, 7, 7, 2, 2, 4, 4, 5, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 5, 7, 7, 7, 7, 7, 2, 2, 5, 4, 4, 5, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 5, 7, 7, 7, 7, 7, 2, 2, 3, 5, 5, 5, 5, 6, 5, 3, 3, 5, 7, 8, 7, 9, 9, 5, 5, 8, 8, 10, 10, 10, 10, 11, 10, 10, 11, 11, 10, 6, 6, 9, 9, 9, 9, 9, 10, 9, 9, 10, 9, 9, 10, 10, 9, 5, 5, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 3, 3, 4, 4, 4, 8, 9, 8, 10, 10, 10, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 6, 6, 6, 8, 9, 8, 10, 10, 10, 5, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 7, 9, 9, 9, 9, 2, 2, 4, 4, 7, 7, 5, 7, 7, 5, 5, 5, 6, 6, 5, 2, 2, 5, 9, 8, 7, 8, 7, 2, 2, 5, 6, 6, 6, 5, 6, 5, 2, 2, 3, 4, 4, 3, 3, 3, 7, 8, 8, 8, 7, 10, 10, 8, 10, 10, 8, 9, 9, 8, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 3, 3, 5, 7, 6, 6, 6, 5, 5, 7, 8, 7, 8, 7, 5, 5, 7, 11, 11, 11, 11, 11, 9, 9, 8, 8, 11, 11, 11, 11, 11, 9, 9, 7, 7, 7, 11, 11, 11, 11, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 3, 3, 4, 6, 7, 7, 7, 5, 5, 4, 4, 4, 8, 9, 8, 10, 9, 10, 10, 8, 3, 3, 4, 4, 4, 6, 7, 7, 6, 6, 6, 10, 10, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 12, 12, 12, 6, 6, 7, 7, 7, 11, 12, 12, 11, 12, 11, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 10, 10, 8, 10, 10, 10, 2, 2, 5, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 6, 6, 8, 8, 2, 2, 5, 9, 9, 9, 8, 7, 8, 7, 2, 2, 4, 4, 6, 6, 5, 5, 7, 7, 2, 2, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 6, 6, 2, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 5, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 5, 5, 4, 4, 4, 0, 2, 1, 1, 1, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 8, 8, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 7, 7, 2, 4, 4, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 5, 1, 1, 3, 2, 2, 2, 1, 4, 4, 5, 1, 1, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 9, 9, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 0, 0, 3, 0, 2, 2, 2, 1, 1, 3, 3, 3, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 4, 4, 4, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 2, 1, 1, 1, 0, 10, 10, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 10, 10, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 2, 1, 2, 4, 4, 5 ]
[ 465, 2361, 203, 465, 316, 203, 1070, 8527, 32, 525, 1188, 17874, 30, 4688, 38, 34, 38, 203, 1070, 8527, 32, 4338, 32, 28497, 32, 14250, 1188, 7279, 81, 14250, 81, 9534, 203, 1070, 35865, 12620, 97, 32, 36287, 1188, 2908, 81, 452, 81, 1986, 30, 2908, 81, 452, 81, 800, 203, 1070, 8419, 1396, 32, 19013, 1188, 622, 81, 7632, 81, 1793, 81, 3560, 203, 1070, 8419, 1396, 32, 3378, 1188, 1593, 2459, 1240, 1078, 8104, 1176, 203, 465, 8419, 1396, 32, 1647, 81, 3169, 619, 2297, 81, 3169, 203, 465, 8419, 1396, 32, 1160, 81, 605, 619, 1542, 81, 605, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11025, 1188, 2297, 2157, 203, 1070, 32400, 81, 3494, 32, 16520, 32, 13471, 1188, 12441, 917, 27106, 733, 13018, 953, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11452, 1188, 6324, 27981, 203, 50, 12830, 81, 14250, 81, 9534, 203, 589, 14230, 81, 4018, 26, 1357, 30, 8419, 81, 314, 711, 284, 8419, 81, 678, 280, 12441, 917, 27106, 733, 13018, 953, 32, 1070, 81, 15040, 81, 800, 26, 7632, 81, 314, 27, 284, 1596, 44, 291, 8419, 280, 622, 81, 7632, 81, 1793, 81, 3560, 26, 1357, 32, 496, 30, 330, 15989, 370, 8419, 81, 678, 30, 7713, 47, 2521, 27, 284, 2940, 4688, 38, 34, 38, 44, 291, 963, 280, 330, 25796, 30, 1273, 16512, 884, 646, 6660, 372, 2857, 322, 14230, 7884, 20149, 291, 442, 17874, 26, 541, 27, 284, 415, 1326, 32, 1959, 610, 330, 2788, 950, 291, 963, 280, 622, 81, 25335, 26, 1357, 30, 8419, 81, 678, 30, 330, 1803, 81, 3926, 683, 291, 963, 32, 1877, 14178, 731, 950, 4247, 1748, 291, 442, 2908, 81, 452, 81, 1986, 463, 266, 2647, 33, 12118, 81, 4018, 32, 916, 370, 963, 27, 284, 1600, 280, 1326, 32, 3705, 710, 1495, 785, 284, 415, 646, 308, 1495, 610, 330, 1803, 81, 3926, 25, 556, 1600, 610, 330, 25335, 7831, 291, 963, 280, 330, 924, 328, 14230, 7884, 429, 600, 5535, 1600, 1597, 20001, 4564, 291, 442, 17874, 26, 541, 27, 284, 3578, 81, 2665, 280, 301, 291, 330, 2560, 27826, 950, 3066, 81, 25335, 30, 291, 330, 4640, 3829, 950, 9254, 319, 1132, 44, 1665, 30, 28867, 330, 2342, 34751, 950, 1539, 81, 27660, 30, 291, 330, 669, 14230, 950, 1015, 81, 12118, 30, 291, 330, 25180, 950, 32102, 30, 284, 320, 284, 1048, 81, 878, 280, 3578, 81, 2665, 77, 1357, 32, 3705, 710, 520, 785, 729, 1357, 30, 8419, 81, 678, 30, 1600, 27, 284, 415, 1048, 81, 878, 438, 1665, 44, 291, 1048, 81, 878, 280, 4247, 284, 2908, 81, 2665, 280, 622, 81, 25335, 26, 1357, 30, 8419, 81, 678, 30, 1600, 30, 8419, 47, 7632, 27, 284, 2908, 81, 2665, 32, 1877, 14178, 731, 950, 1048, 81, 878, 1748, 284, 14380, 81, 916, 280, 2908, 81, 452, 81, 800, 463, 266, 2647, 33, 12118, 81, 4018, 81, 3369, 32, 916, 370, 2908, 81, 2665, 27, 284, 442, 17874, 26, 1260, 32, 16958, 14178, 3127, 950, 2933, 30, 330, 8078, 950, 14380, 81, 916 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 2, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 3, 4, 4, 3, 2, 2, 6, 6, 5, 5, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 3, 3, 4, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 9, 9, 11, 11, 9, 10, 10, 9, 9, 10, 11, 9, 4, 4, 5, 6, 6, 6, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 7, 9, 10, 9, 3, 3, 4, 6, 7, 5, 5, 7, 7, 4, 4, 7, 7, 9, 9, 9, 10, 9, 9, 10, 10, 9, 9, 11, 11, 11, 11, 5, 5, 8, 9, 8, 12, 12, 10, 9, 5, 5, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 3, 3, 5, 5, 7, 8, 6, 8, 8, 3, 3, 4, 5, 9, 8, 8, 10, 10, 10, 10, 7, 7, 8, 8, 10, 10, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 8, 9, 8, 3, 3, 6, 6, 5, 5, 6, 6, 9, 9, 9, 7, 8, 8, 6, 6, 6, 9, 9, 9, 7, 8, 11, 8, 8, 6, 6, 6, 9, 9, 9, 7, 8, 8, 6, 6, 6, 9, 9, 9, 7, 8, 8, 6, 6, 6, 9, 9, 7, 6, 6, 6, 3, 3, 6, 6, 5, 5, 8, 8, 7, 10, 9, 10, 8, 10, 10, 7, 8, 7, 7, 8, 8, 7, 7, 7, 3, 3, 4, 6, 6, 5, 5, 4, 4, 4, 8, 8, 7, 7, 3, 3, 6, 6, 5, 5, 7, 7, 7, 8, 7, 7, 8, 8, 7, 7, 7, 7, 8, 9, 7, 3, 3, 7, 7, 6, 7, 6, 10, 10, 8, 9, 9, 7, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 3, 3, 4, 6, 9, 8, 9, 8, 12, 12, 10, 9, 9, 12, 12, 10, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 8, 8, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 9, 9, 0, 1, 2, 2, 1, 4, 9, 9, 0, 0, 10, 10, 0, 0, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 0, 0, 11, 11, 0, 1, 2, 2, 1, 4, 11, 11, 0, 0, 0, 1, 1, 1, 1, 1, 12, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 7, 2, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 2, 1, 1, 3, 3, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 2, 4, 4, 4, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 5, 2, 2, 2, 2, 2, 1, 1, 2, 7, 2, 2, 2, 2, 2, 1, 2, 9, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 7, 0, 0, 1, 1, 7, 7, 7, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 11, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 3, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 13625, 1188, 18609, 203, 465, 7744, 30, 3995, 30, 11412, 30, 2361, 203, 1070, 14208, 38, 1188, 39231, 203, 465, 5167, 203, 589, 438, 81, 5000, 26, 671, 711, 284, 1148, 295, 342, 814, 101, 280, 12077, 463, 662, 370, 330, 777, 295, 342, 814, 683, 284, 442, 308, 1657, 26, 777, 295, 342, 814, 101, 27, 610, 225, 35, 461, 324, 1148, 295, 342, 814, 101, 77, 34, 997, 878, 32, 7201, 922, 15990, 440, 6076, 2131, 203, 589, 7618, 81, 1338, 26, 671, 711, 284, 1780, 280, 12077, 32, 1809, 440, 507, 392, 313, 7381, 2111, 1895, 83, 32, 878, 284, 810, 81, 2116, 280, 12077, 32, 1809, 463, 507, 370, 330, 4360, 558, 1814, 878, 284, 14662, 280, 428, 106, 32, 7201, 346, 436, 816, 328, 316, 32, 1113, 29318, 1083, 3003, 4320, 810, 81, 2116, 547, 2998, 10788, 3830, 284, 438, 7368, 81, 1204, 280, 12077, 32, 1809, 440, 507, 392, 313, 7381, 2111, 1895, 83, 32, 371, 440, 6928, 657, 284, 438, 7368, 280, 316, 32, 2872, 4207, 2445, 13824, 3424, 5421, 32, 1409, 392, 438, 7368, 81, 1204, 547, 6332, 8532, 34, 79, 284, 2340, 280, 12077, 32, 1809, 440, 662, 392, 313, 5660, 770, 1895, 878, 32, 7201, 346, 284, 442, 301, 291, 313, 1311, 20, 499, 1780, 30, 291, 313, 17583, 20, 499, 14662, 30, 291, 313, 32134, 20, 499, 438, 7368, 30, 291, 313, 770, 20, 499, 2340, 284, 320, 203, 1070, 1133, 1188, 9368, 203, 589, 2197, 23209, 26, 1516, 81, 5646, 47, 37, 35, 711, 284, 1695, 81, 965, 280, 313, 525, 555, 5565, 32, 686, 47068, 32, 508, 33, 3153, 33, 14304, 31, 28826, 5681, 474, 766, 2607, 313, 605, 32, 1409, 49, 3323, 1170, 47, 24518, 1547, 24, 1637, 347, 284, 21739, 280, 1605, 284, 436, 1938, 81, 1516, 328, 2155, 26, 35, 30, 1929, 81, 5646, 474, 225, 35, 711, 291, 1459, 313, 30122, 299, 1938, 392, 1938, 81, 1516, 291, 1984, 280, 1695, 81, 965, 474, 596, 26, 1637, 81, 1516, 27, 291, 31628, 280, 39231, 26, 9698, 32, 371, 26, 965, 547, 878, 30, 330, 916, 39, 1356, 683, 291, 436, 12077, 328, 31628, 463, 671, 370, 330, 7381, 878, 7831, 324, 415, 646, 438, 81, 5000, 26, 671, 711, 400, 21739, 32, 1689, 26, 2609, 81, 1338, 26, 671, 490, 291, 9368, 26, 37, 34, 27, 284, 442, 21739, 203, 589, 622, 81, 4548, 26, 2609, 711, 284, 442, 629, 26, 2609, 1365, 770, 6494, 2998, 8532, 35, 1130, 203, 589, 6867, 81, 24420, 26, 6073, 30, 21739, 711, 284, 4947, 81, 10410, 280, 18609, 26, 371, 81, 4548, 26, 2609, 27, 436, 7618, 328, 21739, 3775, 415, 622, 81, 4548, 26, 2609, 27, 2511, 225, 36, 34, 35, 38, 27, 284, 11274, 280, 8594, 26, 4548, 81, 10410, 27, 284, 7618, 81, 10410, 280, 428, 4548, 81, 10410, 77, 4548, 79, 436, 4947, 328, 816, 79, 284, 5743, 32, 1632, 2009, 106, 429, 225, 34, 32, 39, 436, 816, 328, 11274, 614, 7618, 81, 10410, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 8, 8, 6, 8, 8, 8, 8, 8, 2, 2, 3, 8, 8, 9, 9, 9, 9, 9, 8, 6, 6, 7, 5, 5, 5, 12, 12, 12, 12, 11, 12, 11, 11, 9, 10, 9, 8, 7, 9, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 8, 9, 8, 10, 10, 8, 10, 10, 10, 7, 5, 6, 2, 2, 5, 5, 4, 4, 7, 8, 7, 9, 9, 7, 9, 9, 9, 6, 2, 2, 4, 4, 8, 7, 8, 7, 5, 6, 6, 6, 10, 11, 10, 12, 12, 10, 10, 11, 11, 10, 9, 8, 10, 2, 2, 5, 5, 5, 4, 4, 9, 10, 9, 11, 11, 9, 11, 11, 11, 8, 6, 7, 6, 8, 8, 2, 2, 5, 4, 4, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 10, 10, 10, 9, 8, 7, 6, 5, 2, 2, 4, 4, 9, 10, 9, 11, 11, 9, 11, 11, 11, 8, 6, 7, 6, 2, 2, 3, 4, 4, 7, 7, 5, 5, 4, 4, 4, 7, 7, 5, 5, 4, 4, 4, 7, 7, 5, 5, 6, 4, 4, 4, 7, 7, 5, 5, 4, 4, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 5, 7, 7, 6, 6, 7, 5, 3, 3, 5, 7, 7, 7, 7, 5, 6, 6, 4, 4, 6, 6, 8, 8, 7, 7, 9, 10, 10, 10, 9, 4, 4, 6, 6, 8, 12, 11, 12, 11, 12, 11, 10, 8, 8, 10, 10, 10, 10, 4, 4, 5, 5, 5, 7, 9, 9, 7, 9, 9, 9, 5, 5, 7, 8, 10, 10, 10, 11, 10, 7, 7, 11, 12, 11, 13, 13, 13, 13, 14, 13, 4, 4, 7, 8, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 10, 9, 11, 11, 9, 8, 7, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 8, 8, 8, 8, 9, 8, 6, 7, 7, 7, 6, 6, 7, 10, 10, 10, 11, 10, 8, 8, 9, 9, 9, 9, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 6, 7, 6, 5, 6, 6, 6, 5, 2, 2, 5, 6, 5, 8, 7, 7, 8, 8, 8, 6, 7, 7, 7, 6, 5, 6, 6, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 1, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 4, 4, 6, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 5, 5, 2, 1, 1, 1, 1, 2, 7, 7, 1, 1, 0, 7, 7, 7, 7, 0, 8, 8, 1, 2, 0, 0, 0, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 3, 3, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 3, 3, 5, 5, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 5, 3, 3, 3, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 1, 4, 4, 3, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 10, 10, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 3, 3, 1 ]
[ 37632, 14507, 81, 26580, 280, 301, 284, 330, 4519, 81, 1648, 950, 330, 35, 32, 34, 370, 284, 330, 1517, 950, 2107, 8687, 2188, 284, 330, 7095, 81, 1170, 950, 330, 11863, 25, 203, 111, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 13736, 500, 81, 48740, 81, 1549, 203, 9971, 81, 10270, 81, 9854, 44, 13736, 500, 203, 1648, 81, 11043, 44, 313, 36, 32, 36, 20, 203, 4021, 81, 2310, 44, 4784, 8522, 676, 10784, 20274, 32, 203, 2310, 44, 334, 429, 4784, 8522, 676, 10784, 20274, 203, 2116, 44, 570, 360, 4063, 274, 16399, 1771, 97, 11931, 10633, 360, 4063, 274, 27, 203, 8886, 44, 334, 429, 4101, 30, 2154, 5420, 30, 6109, 6845, 2803, 1244, 786, 32, 203, 2184, 44, 334, 354, 4918, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 676, 10784, 32, 284, 2129, 44, 861, 334, 312, 5501, 44, 284, 3048, 44, 397, 429, 8983, 31, 9160, 19706, 308, 51, 1818, 547, 284, 2129, 44, 861, 284, 16682, 44, 2107, 12288, 38, 370, 330, 12288, 40, 785, 284, 1244, 44, 744, 334, 12954, 91, 44, 284, 3048, 44, 397, 429, 3725, 8983, 31, 9160, 19706, 308, 3551, 1818, 547, 284, 2129, 44, 861, 284, 16682, 44, 2107, 311, 17914, 370, 330, 7740, 17914, 785, 284, 1244, 44, 744, 334, 5543, 81, 1977, 81, 16361, 81, 2837, 81, 5092, 7547, 44, 284, 3048, 44, 397, 429, 11600, 33, 12597, 322, 39359, 11269, 5543, 31, 1977, 330, 2837, 25, 5748, 436, 4335, 291, 1188, 461, 4166, 1760, 47961, 32, 284, 2129, 44, 901, 284, 16682, 44, 2107, 1508, 370, 330, 1870, 785, 284, 1244, 44, 744, 334, 1603, 44, 284, 3048, 44, 397, 429, 34450, 4946, 322, 1359, 1395, 526, 5024, 556, 291, 646, 544, 322, 3298, 32, 284, 2129, 44, 901, 284, 1244, 44, 5024, 284, 16682, 44, 2107, 2689, 1195, 3596, 304, 785, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 31, 13736, 500, 81, 48740, 81, 1549, 44, 284, 354, 4918, 44, 310, 5478, 284, 312, 5501, 44, 24671, 38, 284, 12954, 91, 44, 707, 17914, 284, 5543, 81, 1977, 81, 16361, 81, 2837, 81, 5092, 7547, 44, 2933, 284, 1603, 44, 5024, 203, 9592, 203, 10934, 280, 5881, 203, 7621, 44, 284, 3048, 44, 6350, 4618, 372, 322, 3298, 284, 4717, 44, 5182, 284, 827, 44, 1149, 284, 3964, 44, 3037, 48740, 1619, 310, 5478, 392, 313, 2468, 31, 5065, 24671, 38, 707, 17914, 392, 324, 313, 1549, 91, 24671, 38, 392, 313, 4351, 31, 1977, 4335, 2267, 7050, 7547, 392, 313, 48740, 310, 5478, 392, 324, 313, 39804, 91, 707, 17914, 1446, 203, 9592, 203, 465, 316, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 8462, 500, 1188, 622, 81, 1163, 30, 2454, 81, 1163, 30, 1420, 81, 7621, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 8462, 500, 1188, 13736, 500, 81, 2669, 81, 2285, 30, 1505, 81, 1132, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 6390, 1188, 35603, 2459, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 1299, 4687, 1188, 6028, 4711, 1063, 203, 9053, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 0, 5, 5, 1, 2, 2, 2, 1, 4, 4, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 1, 2, 2, 2, 1, 4, 4, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 7, 7, 1, 2, 2, 2, 1, 4, 7, 7, 0, 0, 8, 8, 1, 2, 2, 2, 1, 4, 4, 8, 8, 0, 0, 0, 0, 0 ]
[ 1070, 281, 5123, 1188, 15820, 203, 1070, 328, 2465, 716, 32, 1840, 2116, 3959, 81, 1163, 1188, 12741, 203, 589, 2179, 81, 2543, 26, 84, 579, 711, 284, 706, 81, 2665, 280, 2149, 284, 4947, 81, 4151, 280, 1992, 26, 84, 579, 32, 4151, 30, 2107, 36, 40, 34, 505, 85, 370, 330, 36, 40, 43, 505, 85, 370, 330, 41, 41, 37, 505, 107, 370, 330, 39, 34, 36, 505, 86, 3490, 284, 8814, 314, 280, 323, 579, 32, 4875, 779, 284, 706, 81, 2665, 710, 4548, 81, 4151, 785, 280, 4947, 81, 4151, 284, 442, 12741, 2009, 4875, 314, 30, 706, 81, 2665, 1130, 203, 589, 15820, 81, 2810, 26, 84, 579, 711, 284, 442, 225, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 8, 8, 7, 8, 6, 6, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 4, 4, 6, 5, 6, 6, 2, 2, 6, 6, 5, 7, 7, 7, 7, 4, 4, 5, 5, 2, 2, 3, 5, 7, 7, 6, 6, 7, 7, 6, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 823, 5056, 367, 2262, 203, 202, 589, 1156, 1664, 3207, 784, 30, 8456, 81, 314, 30, 804, 30, 2043, 711, 357, 202, 784, 32, 5473, 81, 314, 280, 8456, 81, 314, 357, 202, 784, 32, 314, 280, 804, 357, 202, 784, 32, 1580, 280, 2043, 203, 202, 589, 1149, 26, 784, 30, 2075, 280, 2149, 711, 357, 202, 1548, 280, 2075, 710, 1217, 785, 415, 330, 1217, 25, 328, 2075, 813, 2149, 357, 202, 1986, 280, 630, 32, 1580, 32, 371, 3247, 1237, 33, 16913, 7404, 474, 630, 32, 5473, 81, 314, 474, 3056, 44588, 370, 3361, 30, 2075, 27, 357, 202, 601, 1789, 203, 202, 589, 2290, 26, 784, 30, 2075, 280, 2149, 711, 357, 202, 1548, 280, 2075, 710, 1217, 785, 415, 330, 1217, 25, 328, 2075, 813, 2149, 357, 202, 1986, 280, 630, 32, 1580, 32, 371, 3247, 1237, 33, 16913, 7404, 474, 630, 32, 5473, 81, 314, 474, 3056, 44588, 7404, 474, 630, 32, 314, 474, 2550, 3361, 30, 2075, 27, 357, 202, 601, 1789, 203, 202, 589, 1487, 26, 784, 30, 26782, 30, 2075, 280, 2149, 711, 357, 202, 1548, 280, 2075, 710, 1548, 785, 415, 330, 1548, 25, 328, 2075, 813, 2149, 357, 202, 1548, 710, 24518, 785, 280, 26782, 357, 202, 1986, 280, 630, 32, 1580, 32, 1526, 3247, 1237, 33, 16913, 7404, 474, 630, 32, 5473, 81, 314, 474, 3056, 44588, 370, 3361, 30, 2075, 27, 357, 202, 601, 1789, 203, 202, 589, 1974, 26, 784, 30, 26782, 30, 2075, 280, 2149, 711, 357, 202, 1548, 280, 2075, 710, 1548, 785, 415, 330, 1548, 25, 328, 2075, 813, 2149, 357, 202, 1548, 710, 24518, 785, 280, 26782, 357, 202, 1986, 280, 630, 32, 1580, 32, 524, 3247, 1237, 33, 16913, 7404, 474, 630, 32, 5473, 81, 314, 474, 3056, 44588, 7404, 474, 630, 32, 314, 474, 2550, 3361, 30, 2075, 27, 357, 202, 601, 1789, 203, 202, 589, 3066, 26, 784, 30, 2075, 280, 2149, 711, 357, 202, 1548, 280, 2075, 710, 1548, 785, 415, 330, 1548, 25, 328, 2075, 813, 2149, 357, 202, 1986, 280, 630, 32, 1580, 32, 2560, 3247, 1237, 33, 16913, 7404, 474, 630, 32, 5473, 81, 314, 474, 3056, 44588, 7404, 474, 630, 32, 314, 474, 2550, 3361, 30, 2075, 27, 357, 202, 601, 1789, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 2, 2, 3, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 6, 6, 8, 10, 10, 7, 7, 10, 10, 8, 8, 7, 7, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 9, 9, 11, 11, 8, 8, 8, 8, 4, 4, 5, 5, 2, 2, 3, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 6, 6, 8, 10, 10, 7, 7, 10, 10, 8, 8, 7, 7, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 14, 14, 14, 14, 12, 12, 13, 14, 14, 14, 11, 11, 13, 13, 10, 10, 11, 12, 9, 9, 8, 8, 8, 8, 4, 4, 5, 5, 2, 2, 3, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 6, 6, 8, 10, 10, 7, 7, 10, 10, 8, 8, 7, 7, 4, 4, 8, 7, 9, 9, 6, 6, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 9, 9, 11, 11, 8, 8, 8, 8, 4, 4, 5, 5, 2, 2, 3, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 6, 6, 8, 10, 10, 7, 7, 10, 10, 8, 8, 7, 7, 4, 4, 8, 7, 9, 9, 6, 6, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 14, 14, 14, 14, 12, 12, 13, 14, 14, 14, 11, 11, 13, 13, 10, 10, 11, 12, 9, 9, 8, 8, 8, 8, 4, 4, 5, 5, 2, 2, 3, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 6, 6, 8, 10, 10, 7, 7, 10, 10, 8, 8, 7, 7, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 14, 14, 14, 14, 12, 12, 13, 14, 14, 14, 11, 11, 13, 13, 10, 10, 11, 12, 9, 9, 8, 8, 8, 8, 4, 4, 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 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 4, 4, 3, 3, 2, 1, 2, 2, 2, 2, 5, 5, 2, 3, 3, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 2, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 3, 3, 4, 4, 4, 4, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 2, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 4, 4, 5, 5, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 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 ]
[ 465, 5237, 203, 465, 1133, 203, 465, 3995, 203, 465, 32023, 203, 465, 29590, 203, 465, 2322, 203, 671, 280, 29590, 32, 371, 1433, 1515, 346, 203, 589, 10477, 1808, 101, 26, 96, 711, 284, 2771, 280, 2322, 32, 983, 32, 2524, 26, 671, 30, 313, 591, 23, 34, 40, 86, 20, 904, 310, 27, 284, 1596, 44, 291, 11828, 280, 2156, 26, 3359, 30, 313, 4506, 657, 284, 2940, 546, 21887, 44, 291, 540, 280, 3995, 32, 3855, 291, 1056, 280, 428, 100, 346, 436, 595, 328, 2155, 26, 96, 2177, 291, 1596, 44, 324, 1596, 44, 400, 11828, 280, 2156, 26, 3359, 30, 313, 12108, 657, 400, 32023, 32, 5937, 26, 1267, 30, 11828, 27, 400, 11828, 32, 2679, 346, 400, 11828, 280, 1665, 324, 8295, 44, 400, 415, 11828, 44, 528, 1596, 44, 715, 2322, 32, 23754, 26, 3359, 27, 528, 2940, 546, 21887, 44, 715, 3097, 291, 2940, 546, 21887, 619, 3124, 44, 324, 1459, 440, 3374, 1330, 2866, 392, 2771, 30, 313, 9318, 3124, 27, 284, 813, 44, 291, 1056, 280, 32023, 32, 944, 26, 4426, 27, 291, 11828, 32, 2679, 346, 291, 436, 595, 328, 2155, 26, 35, 34, 711, 324, 595, 280, 3995, 32, 6386, 3585, 26, 96, 27, 324, 1779, 280, 1056, 2867, 91, 79, 324, 3555, 1056, 2867, 91, 79, 324, 1779, 32, 9833, 346, 324, 1056, 32, 8233, 26, 1433, 27, 324, 3555, 1779, 284, 1201, 2069, 26, 1267, 27, 610, 310, 284, 442, 1056, 203, 589, 15042, 2262, 284, 5237, 32, 9362, 32, 9321, 346, 203, 589, 38874, 26, 62, 711, 284, 273, 34, 280, 1133, 32, 14460, 81, 4680, 346, 284, 498, 32, 3323, 346, 284, 273, 35, 280, 1133, 32, 14460, 81, 4680, 346, 284, 1459, 4912, 40, 32, 36, 88, 20, 904, 308, 102, 35, 31, 102, 34, 471, 943, 1057, 11134, 284, 15042, 346, 203, 589, 4878, 6197, 26, 100, 711, 284, 6792, 280, 8825, 2009, 380, 474, 313, 3323, 20, 436, 663, 328, 540, 41731, 5272, 37, 46124, 112, 47, 19, 6890, 284, 4550, 280, 2884, 23, 36, 101, 904, 41, 101, 20, 474, 313, 904, 40, 101, 41731, 1657, 26, 10996, 490, 284, 1459, 26, 3972, 904, 33299, 91, 392, 313, 36, 326, 91, 657, 474, 6792, 490, 284, 436, 595, 328, 540, 44, 291, 310, 280, 225, 35, 1264, 595, 291, 498, 280, 10477, 1808, 101, 26, 96, 27, 291, 1459, 4912, 36, 86, 904, 41, 86, 20, 904, 308, 91, 30, 310, 471, 943, 1057, 11134, 291, 15042, 346, 291, 38874, 26, 62, 27, 4456, 498, 32, 9833, 346, 291, 38874, 26, 62, 27, 4456, 38874, 26, 62, 27, 4456, 436, 11638, 328, 2155, 26, 37, 711, 324, 595, 35, 280, 3995, 32, 6386, 3585, 26, 96, 27, 324, 595, 36, 280, 3995, 32, 6386, 3585, 26, 96, 27, 324, 498, 77, 91, 35, 614, 498, 77, 91, 36, 79, 280, 498, 77, 91, 36, 614, 498, 77, 91, 35, 79, 291, 38874, 26, 62, 27, 4456, 415, 310, 2377, 225, 35, 34, 44, 324, 498, 6448, 35, 34, 10056, 280, 428, 3855 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 2, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 6, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 8, 10, 10, 3, 3, 4, 5, 4, 4, 4, 7, 7, 8, 9, 5, 5, 7, 7, 10, 10, 8, 9, 9, 9, 11, 12, 11, 5, 5, 6, 6, 6, 8, 8, 8, 11, 11, 13, 14, 13, 13, 15, 15, 9, 9, 12, 13, 12, 13, 12, 12, 12, 9, 9, 12, 13, 12, 9, 9, 11, 11, 8, 8, 9, 9, 9, 11, 11, 11, 11, 13, 13, 13, 17, 18, 17, 18, 17, 13, 13, 14, 15, 14, 14, 14, 6, 6, 7, 9, 8, 8, 7, 7, 7, 11, 13, 13, 13, 13, 11, 11, 11, 13, 11, 11, 3, 3, 4, 4, 4, 7, 7, 9, 10, 9, 10, 9, 5, 5, 8, 9, 8, 5, 5, 6, 6, 6, 8, 9, 9, 8, 6, 6, 9, 9, 11, 12, 12, 11, 12, 11, 7, 7, 9, 9, 10, 12, 10, 7, 7, 8, 9, 11, 9, 7, 7, 10, 11, 10, 7, 7, 10, 11, 10, 11, 10, 7, 7, 8, 2, 2, 3, 6, 7, 6, 4, 4, 2, 2, 3, 0, 1, 1, 2, 1, 1, 6, 7, 5, 6, 5, 0, 1, 1, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 6, 5, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 8, 8, 8, 8, 8, 6, 6, 9, 9, 8, 9, 9, 7, 5, 6, 8, 2, 2, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 9, 8, 8, 10, 10, 7, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 4, 4, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 10, 9, 2, 2, 5, 7, 6, 6, 11, 11, 9, 11, 11, 11, 11, 8, 8, 7, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 8, 7, 7, 4, 4, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 9, 9, 7, 8, 10, 4, 4, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 5, 5, 5, 7, 8, 7, 5, 5, 9, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 9, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 10, 11, 11, 10, 9, 10, 11, 11, 10, 8, 8, 10, 11, 11, 10, 9, 10, 11, 11, 10, 4, 4, 7, 8, 7, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 9, 12, 12, 10, 8, 8, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 3, 3, 0, 0, 2, 2, 3, 3, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 2, 2, 3, 0, 1, 1, 3, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 0, 0, 2, 1, 2, 5, 5, 2, 1, 1, 1, 5, 5, 0, 2, 1, 5, 5, 0, 2, 1, 1, 1, 5, 5, 5, 4, 4, 2, 1, 1, 1, 1, 1, 4, 4, 3, 0, 8, 8, 2, 8, 8, 0, 2, 0, 2, 1, 0, 9, 9, 2, 1, 2, 9, 9, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 3, 1, 4, 4, 1, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 4, 4, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 3, 1, 5, 5, 1, 5, 5, 1, 1, 1, 5, 5, 0, 2, 1, 5, 5, 1, 1, 1, 5, 5, 1, 1, 1, 5, 5, 8, 8, 8, 1, 1, 1, 8, 8, 0, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 5, 5, 1, 1, 1, 5, 5, 10, 1, 1, 2, 2, 10, 10, 10, 0, 1, 1, 2, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 261, 203, 465, 1933, 203, 1070, 46032, 1188, 1188, 81, 1647, 203, 465, 2322, 203, 465, 5237, 203, 465, 11685, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 8527, 32, 2304, 32, 44136, 1188, 26396, 383, 36115, 35, 43, 5711, 203, 589, 1188, 81, 800, 26, 4260, 3251, 81, 983, 711, 284, 1596, 44, 291, 2297, 81, 983, 30, 443, 81, 426, 280, 43363, 81, 983, 32, 100, 2998, 39054, 225, 35, 27, 284, 2940, 10091, 44, 291, 3124, 280, 5461, 101, 4163, 1330, 2779, 2124, 312, 2297, 1519, 20, 904, 43363, 81, 983, 291, 18792, 32, 100, 3002, 1125, 26, 4196, 924, 30, 29986, 26, 2076, 471, 5237, 32, 14806, 81, 1338, 8532, 36, 1130, 284, 2297, 280, 1188, 81, 1647, 26, 1647, 81, 983, 27, 284, 1596, 44, 291, 442, 18623, 26, 1647, 30, 443, 81, 426, 27, 284, 2940, 29316, 44, 291, 3124, 280, 330, 2459, 5461, 101, 20, 1957, 646, 5597, 312, 5461, 101, 20, 3879, 33, 823, 25, 904, 308, 324, 43363, 81, 983, 30, 443, 81, 426, 27, 291, 18792, 32, 100, 3002, 1125, 26, 4196, 924, 30, 29986, 26, 2076, 471, 5237, 32, 14806, 81, 1338, 8532, 36, 1130, 203, 589, 1188, 81, 1170, 81, 983, 26, 4260, 3251, 81, 983, 30, 1048, 81, 4254, 1057, 7831, 284, 11685, 32, 8447, 26, 291, 330, 465, 81, 1170, 81, 983, 346, 1401, 2583, 12687, 32, 4417, 1188, 81, 800, 346, 4174, 6418, 291, 26396, 383, 36115, 35, 43, 5711, 30, 4138, 2649, 47, 36, 27, 284, 1596, 44, 291, 5601, 280, 1188, 81, 800, 26, 4260, 3251, 81, 983, 27, 284, 2940, 29986, 619, 484, 44, 291, 3124, 280, 6611, 101, 924, 29282, 2297, 904, 101, 44, 5461, 101, 14891, 904, 308, 324, 1048, 81, 4254, 30, 43363, 81, 983, 30, 484, 27, 291, 18792, 32, 100, 3002, 1125, 26, 37035, 462, 631, 30096, 30, 19444, 462, 631, 30096, 26, 2076, 471, 528, 5237, 32, 14806, 81, 1338, 8532, 36, 1130, 284, 442, 5601, 203, 589, 7120, 431, 297, 4094, 81, 3477, 2740, 1132, 30, 1115, 5321, 711, 284, 645, 8527, 32, 7491, 1188, 11550, 284, 3909, 81, 452, 280, 10306, 32, 371, 463, 3317, 81, 452, 683, 284, 436, 1123, 81, 1163, 328, 11550, 32, 371, 81, 725, 81, 15752, 2262, 291, 1596, 44, 324, 415, 3909, 81, 452, 44, 400, 2670, 81, 465, 81, 8200, 280, 1933, 32, 2991, 26, 3317, 81, 452, 1114, 8200, 27, 324, 436, 2297, 81, 452, 81, 1903, 328, 2181, 44, 400, 1188, 81, 1647, 15339, 101, 15231, 101, 25, 904, 308, 725, 81, 1163, 32, 426, 30, 2297, 81, 452, 81, 1903, 490, 291, 2940, 44, 324, 415, 3909, 81, 452, 44, 400, 3909, 81, 452, 1114, 8200, 280, 2670, 81, 465, 81, 8200, 324, 415, 2297, 81, 2040, 81, 1113, 1647, 26, 725, 81, 1163, 32, 1647, 30, 2297, 81, 452, 81, 1903, 711, 400, 3636, 203, 325, 5237, 32, 1648, 81, 1338, 2867, 36, 79 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 3, 3, 8, 8, 7, 7, 8, 8, 6, 6, 9, 9, 8, 9, 9, 8, 8, 9, 8, 3, 3, 4, 4, 4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 5, 5, 8, 9, 9, 9, 8, 9, 9, 8, 8, 10, 11, 10, 8, 11, 12, 12, 12, 11, 10, 9, 2, 2, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 3, 3, 3, 5, 7, 8, 7, 7, 8, 8, 7, 3, 3, 4, 4, 4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 10, 10, 9, 9, 10, 10, 9, 5, 5, 8, 9, 9, 9, 8, 9, 9, 8, 8, 10, 11, 10, 8, 11, 12, 12, 12, 11, 10, 9, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 4, 4, 3, 5, 1, 1, 5, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 6, 6, 5, 5, 7, 6, 7, 5, 2, 2, 3, 3, 3, 6, 6, 8, 8, 8, 9, 9, 9, 9, 8, 3, 3, 4, 5, 5, 4, 4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 10, 10, 9, 9, 10, 10, 9, 9, 9, 5, 5, 8, 9, 9, 9, 8, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 11, 10, 8, 8, 11, 12, 12, 12, 11, 10, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 4, 5, 3, 3, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 5, 3, 3, 5, 5, 5, 7, 8, 8, 7, 7, 7, 11, 11, 11, 11, 10, 10, 12, 13, 12, 14, 14, 14, 13, 14, 12, 6, 6, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 11, 11, 11, 14, 14, 14, 14, 12, 12, 15, 15, 15, 14, 15, 13, 13, 14, 14, 14, 14, 13, 5, 5, 6, 6, 6, 8, 9, 9, 8, 8, 8, 13, 13, 12, 13, 11, 11, 12, 12, 12, 12, 7, 7, 8, 10, 10, 10, 10, 10, 10, 12, 12, 12, 11, 12, 10, 10, 11, 11, 11, 11, 10, 8, 8, 0, 1, 1, 4, 5, 5, 5, 3, 5, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 0, 9, 9, 1, 1, 2, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 3, 1, 0, 0, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 5, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 0, 1, 1, 1, 1, 3, 3, 1, 2, 2, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 5, 0, 10, 10, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 3, 1, 10, 10, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 0, 5, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 5, 4, 4, 2, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 11, 11, 0, 1, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 3, 3, 3, 3, 2, 0, 0, 3, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 12, 12, 0, 2, 2, 2, 0, 1, 0 ]
[ 465, 2322, 203, 465, 1344, 4071, 203, 1070, 5592, 32, 48609, 1188, 6828, 3350, 203, 1070, 2357, 7923, 32, 2251, 6508, 1188, 34785, 3713, 30, 537, 1599, 203, 1070, 2357, 7923, 32, 14481, 32, 1069, 2659, 9634, 1188, 394, 36, 2659, 652, 203, 1070, 2357, 7923, 32, 2251, 6508, 32, 11278, 32, 366, 10138, 1188, 570, 7100, 9841, 284, 10285, 720, 30, 10285, 3157, 30, 10285, 30, 4101, 12794, 10833, 9841, 284, 8560, 720, 30, 8560, 3157, 30, 8560, 9841, 284, 23940, 720, 30, 23940, 30, 20312, 332, 23037, 30, 12379, 23037, 203, 5660, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 203, 7883, 2028, 1215, 280, 2322, 32, 983, 32, 2524, 26, 5660, 30, 313, 29238, 858, 31, 7883, 32, 102, 1483, 657, 203, 7883, 2410, 1215, 280, 2322, 32, 983, 32, 2524, 26, 5660, 30, 313, 29238, 858, 31, 7883, 32, 366, 88, 657, 203, 3274, 720, 280, 2322, 32, 983, 32, 2524, 26, 5660, 30, 313, 29238, 858, 31, 5905, 32, 2760, 657, 203, 4259, 750, 280, 2322, 32, 983, 32, 2524, 26, 5660, 30, 313, 29238, 858, 31, 5905, 32, 754, 657, 203, 2024, 1215, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 5660, 471, 313, 29238, 858, 31, 10122, 23, 86, 657, 203, 1439, 1227, 1493, 280, 225, 34, 2635, 34, 34, 34, 203, 88, 280, 2156, 26, 3274, 720, 30, 313, 4506, 657, 203, 878, 280, 296, 32, 850, 346, 203, 88, 32, 2679, 346, 203, 9387, 280, 1605, 203, 979, 1628, 328, 1344, 32, 2998, 4446, 2262, 284, 1628, 280, 1628, 32, 7201, 346, 284, 415, 646, 1628, 44, 291, 4036, 284, 415, 1628, 32, 15990, 4120, 10280, 291, 4036, 284, 2078, 280, 1628, 32, 2998, 5528, 102, 657, 284, 2604, 280, 2078, 32, 3235, 26, 34, 27, 284, 7996, 32, 1689, 26, 2142, 293, 203, 589, 1015, 23206, 705, 53, 1139, 26, 23610, 558, 47, 2521, 30, 3460, 47, 2521, 30, 945, 47, 2521, 30, 3649, 1721, 3666, 47, 2521, 30, 1351, 9634, 1284, 47, 2521, 30, 2663, 7167, 47, 2521, 30, 1351, 9634, 47, 2521, 711, 284, 1351, 652, 280, 394, 36, 2659, 652, 26, 5784, 47, 5784, 30, 945, 47, 2055, 30, 3649, 1721, 3666, 47, 3264, 1721, 3666, 27, 284, 1351, 9634, 1284, 32, 1689, 26, 1594, 652, 27, 284, 22585, 779, 280, 2069, 26, 1393, 7167, 32, 15245, 27, 284, 1351, 9634, 32, 1594, 9634, 77, 23610, 558, 79, 280, 22585, 779, 284, 2663, 7167, 32, 15245, 32, 1689, 26, 23610, 558, 27, 203, 589, 1930, 10136, 35, 2262, 284, 296, 280, 2156, 26, 7883, 2028, 1215, 27, 284, 273, 1483, 750, 280, 296, 32, 850, 346, 284, 296, 32, 2679, 346, 284, 273, 1483, 750, 280, 273, 1483, 750, 32, 3227, 27176, 5065, 558, 41501, 313, 29238, 858, 31, 10122, 35, 657, 284, 1779, 7162, 2028, 1215, 280, 9073, 2028, 1215, 474, 4939, 1433, 20, 284, 296, 280, 2156, 26, 1433, 7162, 2028, 1215, 30, 313, 12108, 657, 284, 296, 32, 1821, 26, 102, 1483, 750, 27, 284, 296, 32, 2679, 346, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 1, 2, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 2, 1, 3, 1, 1, 3, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 6, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 5, 4, 4, 6, 6, 0, 3, 2, 2, 4, 5, 4, 0, 4, 3, 4, 3, 0, 3, 2, 2, 0, 1, 1, 1, 1, 3, 4, 4, 3, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 5, 6, 5, 7, 3, 3, 2, 2, 4, 4, 6, 7, 6, 9, 8, 2, 2, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 4, 3, 4, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 8, 7, 8, 6, 6, 7, 8, 6, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 6, 6, 5, 6, 5, 6, 6, 5, 2, 2, 5, 4, 4, 6, 8, 8, 7, 8, 6, 2, 2, 7, 6, 7, 7, 5, 6, 6, 5, 4, 4, 5, 2, 2, 7, 6, 7, 5, 6, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 4, 4, 6, 6, 5, 5, 7, 7, 2, 2, 4, 4, 6, 7, 7, 7, 7, 6, 6, 8, 8, 2, 2, 5, 6, 5, 6, 6, 6, 5, 2, 2, 5, 6, 5, 2 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 0, 1, 2, 2, 1, 4, 1, 6, 6, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 14, 5, 0, 5, 5, 0, 5, 5, 5, 21, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 17, 17, 17, 17, 0, 2, 2, 1, 17, 17, 0, 0, 0, 2, 1, 5, 5, 1, 1, 1, 1, 1, 5, 5, 2, 0, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 0, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 0, 18, 18, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 11, 2, 2, 2, 0, 13, 2, 2, 18, 18, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 0, 0, 1, 2, 1, 4, 4, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 19, 19, 1, 1, 2, 19, 19, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4 ]
[ 465, 15798, 203, 1070, 8527, 32, 2304, 1188, 4159, 203, 823, 40145, 6441, 26, 18986, 32, 7233, 711, 284, 665, 1505, 81, 2024, 26, 784, 30, 667, 30, 786, 30, 1688, 47, 2521, 711, 291, 415, 1688, 438, 1665, 44, 324, 1688, 280, 786, 291, 630, 32, 5299, 26, 1126, 26, 853, 471, 1688, 27, 284, 665, 894, 81, 11731, 26, 784, 711, 291, 296, 280, 4159, 32, 11731, 291, 3946, 280, 308, 324, 2726, 24, 1195, 24, 757, 45, 1425, 324, 2726, 46, 370, 15441, 2159, 45, 1425, 324, 2726, 10154, 15441, 1837, 45, 1425, 324, 2726, 21684, 15441, 2462, 45, 1425, 324, 2884, 13042, 330, 5233, 37, 43, 45, 1425, 291, 829, 291, 15103, 280, 2884, 23, 101, 392, 313, 28343, 23, 101, 2995, 2496, 392, 5461, 101, 35, 392, 313, 35, 23, 5682, 657, 291, 436, 786, 30, 1688, 328, 3946, 44, 324, 436, 5257, 328, 15103, 44, 400, 630, 32, 1553, 81, 2024, 26, 88, 30, 5257, 904, 786, 30, 5257, 904, 1688, 27, 324, 630, 32, 1553, 81, 2024, 26, 88, 30, 786, 319, 225, 36, 30, 1688, 319, 225, 36, 27, 291, 630, 32, 1553, 81, 2024, 26, 88, 30, 4145, 24, 370, 15441, 2159, 2395, 757, 45, 683, 284, 665, 894, 81, 928, 2969, 101, 26, 784, 711, 291, 296, 280, 4159, 32, 928, 2969, 101, 291, 3946, 280, 308, 324, 2884, 9719, 35, 78, 96, 78, 96, 9719, 36, 78, 100, 78, 100, 9719, 37, 392, 3778, 98, 48, 9719, 35, 377, 98, 5213, 96, 78, 96, 46, 98, 48, 9719, 36, 377, 98, 5213, 96, 78, 96, 46, 98, 48, 9719, 37, 377, 98, 48, 2113, 324, 2884, 9719, 35, 78, 96, 1113, 35, 78, 100, 1113, 36, 78, 96, 78, 96, 9719, 36, 392, 3778, 98, 48, 9719, 35, 46, 839, 1681, 1113, 35, 46, 839, 1681, 1113, 36, 377, 98, 5213, 96, 78, 96, 46, 98, 48, 9719, 36, 377, 98, 48, 2113, 324, 2884, 9719, 35, 78, 100, 78, 96, 78, 100, 78, 96, 9719, 36, 78, 100, 1113, 35, 78, 100, 78, 100, 9719, 38, 392, 3778, 98, 48, 9719, 35, 377, 98, 5213, 96, 78, 96, 46, 98, 48, 9719, 36, 46, 839, 1681, 1113, 35, 377, 98, 5213, 96, 78, 96, 46, 98, 48, 9719, 38, 377, 98, 48, 2113, 324, 2884, 9719, 35, 78, 6546, 686, 78, 96, 78, 96, 9719, 36, 392, 3778, 98, 48, 9719, 35, 78, 6546, 686, 377, 98, 5213, 96, 78, 96, 46, 98, 48, 9719, 36, 377, 98, 48, 2113, 291, 829, 291, 436, 786, 30, 1688, 328, 3946, 44, 324, 630, 32, 1553, 81, 2024, 26, 88, 30, 786, 30, 1688, 27, 284, 665, 894, 81, 7201, 81, 3963, 26, 784, 711, 291, 296, 280, 4159, 32, 7201, 81, 3963, 291, 3946, 280, 308, 324, 2726, 46, 27862, 48, 83, 370, 330, 83, 1425, 324, 2726, 377, 27862, 48, 83, 370, 330, 83, 1425, 324, 2726, 46, 28343, 772, 28343, 48, 87, 370, 330, 87, 1425, 324, 2726, 46, 88, 370, 4145, 88, 1425, 324, 2726, 377, 1225, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 8, 10, 10, 10, 7, 7, 10, 8, 10, 10, 10, 7, 7, 10, 8, 10, 10, 10, 10, 10, 7, 7, 4, 4, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 11, 12, 12, 12, 11, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 6, 6, 9, 10, 10, 10, 9, 10, 9, 9, 10, 10, 11, 9, 9, 10, 10, 11, 9, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 7, 7, 10, 10, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 11, 11, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 11, 11, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 11, 11, 10, 11, 11, 11, 11, 10, 10, 10, 8, 10, 10, 10, 10, 11, 11, 10, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 5, 1, 1, 2, 2, 2, 1, 7, 1, 1, 2, 2, 2, 1, 9, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 2, 1, 1, 5, 5, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 1, 1, 4, 4, 1, 1, 5, 5, 6, 6, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 7, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 2, 7, 1, 2, 2, 2, 1, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 465, 6436, 32, 3415, 15348, 32, 17797, 8689, 268, 619, 27039, 203, 1070, 6436, 32, 3415, 15348, 32, 3415, 15348, 1188, 10214, 695, 203, 1070, 6436, 32, 4266, 1188, 308, 284, 19205, 30, 1201, 81, 37368, 81, 2228, 30, 1201, 81, 16708, 30, 284, 1201, 81, 2228, 30, 1201, 3739, 1420, 81, 1647, 81, 9089, 27, 203, 62, 34, 280, 2065, 32, 955, 2009, 35, 35335, 35, 203, 62, 35, 280, 2065, 32, 955, 2009, 35, 30, 429, 35, 35335, 35, 203, 62, 36, 280, 2065, 32, 955, 2009, 36, 30, 429, 38, 30, 225, 35, 35335, 36, 203, 62, 37, 280, 2065, 32, 955, 2009, 40, 30, 429, 35, 42, 30, 225, 43, 30, 429, 35, 35335, 40, 203, 62, 38, 280, 2065, 32, 955, 2009, 36, 38, 30, 429, 43, 40, 30, 225, 41, 36, 30, 429, 35, 40, 30, 225, 35, 35335, 36, 38, 203, 62, 39, 280, 2065, 32, 955, 2009, 35, 36, 34, 30, 429, 40, 34, 34, 30, 225, 40, 34, 34, 30, 429, 36, 34, 34, 30, 225, 36, 39, 30, 429, 35, 35335, 35, 36, 34, 203, 62, 40, 280, 2065, 32, 955, 2009, 41, 36, 34, 30, 429, 38, 37, 36, 34, 30, 225, 39, 38, 34, 34, 30, 429, 36, 38, 34, 34, 30, 225, 38, 39, 34, 30, 429, 37, 40, 30, 225, 35, 35335, 41, 36, 34, 203, 62, 668, 280, 428, 62, 34, 30, 498, 35, 30, 498, 36, 30, 498, 37, 30, 498, 38, 30, 498, 39, 30, 498, 40, 79, 203, 589, 11760, 26, 106, 711, 284, 442, 27039, 32, 17797, 5464, 26, 106, 30, 26907, 47, 35, 87, 31, 40, 27, 203, 823, 2108, 5229, 26, 7233, 711, 284, 665, 894, 81, 17797, 4116, 26, 784, 711, 291, 1201, 81, 2228, 26, 17797, 32, 17797, 4116, 30, 428, 34, 30, 225, 35, 1130, 284, 665, 894, 81, 17797, 6158, 26, 784, 711, 291, 1201, 81, 2228, 26, 17797, 32, 17797, 6158, 30, 428, 34, 1130, 284, 665, 894, 81, 17797, 658, 26, 784, 711, 291, 1201, 81, 2228, 26, 17797, 32, 17797, 658, 30, 428, 35, 1130, 284, 665, 894, 81, 17797, 106, 26, 784, 711, 291, 1201, 81, 2228, 26, 17797, 32, 17797, 106, 30, 428, 35, 30, 429, 35, 1130, 203, 823, 2108, 37375, 26, 7233, 711, 284, 816, 280, 2065, 32, 24356, 3736, 37, 30, 225, 37, 30, 225, 35, 34, 34, 27, 284, 665, 894, 81, 17797, 669, 26, 784, 711, 291, 436, 595, 328, 2155, 26, 39, 711, 324, 436, 594, 328, 2155, 26, 39, 711, 400, 3124, 280, 313, 1076, 595, 6132, 86, 30, 594, 6132, 86, 20, 904, 308, 91, 30, 594, 27, 400, 23324, 280, 2065, 32, 9880, 26, 1449, 26, 91, 30, 594, 27, 474, 225, 35, 27, 400, 23324, 77, 91, 79, 1454, 225, 35, 400, 23324, 77, 92, 79, 1454, 225, 35, 400, 736, 280, 27039, 32, 17797, 669, 2009, 34, 6603, 91, 474, 428 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 1, 3, 3, 3, 3, 1, 0, 3, 3, 2, 2, 5, 6, 5, 7, 6, 4, 0, 3, 3, 2, 2, 5, 6, 5, 7, 6, 6, 8, 6, 4, 0, 3, 3, 2, 2, 5, 6, 5, 7, 6, 6, 8, 6, 6, 7, 6, 4, 0, 3, 3, 2, 2, 5, 6, 5, 7, 6, 6, 8, 8, 6, 6, 7, 6, 6, 8, 6, 4, 0, 3, 3, 2, 2, 5, 6, 5, 7, 7, 6, 6, 8, 8, 6, 6, 7, 7, 6, 6, 8, 8, 6, 6, 7, 6, 4, 4, 0, 3, 3, 2, 2, 5, 6, 5, 7, 7, 7, 6, 6, 8, 8, 8, 6, 6, 7, 7, 7, 6, 6, 8, 8, 8, 6, 6, 7, 7, 6, 6, 8, 6, 4, 4, 4, 0, 3, 3, 2, 2, 5, 6, 5, 7, 7, 7, 6, 6, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 6, 6, 7, 7, 7, 6, 6, 8, 8, 6, 6, 7, 6, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 6, 6, 5, 6, 5, 5, 6, 7, 7, 7, 7, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 9, 8, 9, 9, 7, 7, 9, 8, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 9, 8, 9, 9, 7, 7, 9, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 9, 8, 9, 9, 7, 7, 9, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 9, 8, 9, 9, 7, 7, 9, 8, 8, 10, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 6, 6, 7, 6, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 8, 7, 5, 5, 7, 7, 7, 9, 10, 9, 7, 7, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 12, 12, 12, 8, 8, 10, 10, 12, 13, 12, 15, 15, 16, 15, 15, 15, 13, 13, 14, 12, 8, 8, 11, 12, 11, 10, 10, 11, 8, 8, 11, 12, 11, 10, 10, 11, 8, 8, 10, 10, 12, 13, 13, 12, 16, 15, 15, 13, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 4, 4, 4, 1, 1, 0, 3, 3, 1, 2, 2, 1, 4, 4, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 9, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 1, 1, 1, 1, 1, 1, 13, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 2, 11, 2, 2, 13, 2, 0, 13, 13, 2, 1, 2, 13, 13, 0, 0, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 0, 14, 14, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 3, 3, 3, 3, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 3, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 3, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 3, 3, 1, 3, 0, 15, 15, 1, 2, 1, 2, 15, 15, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 5, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 0, 2, 0, 0, 0, 2, 5, 5, 0, 2, 0, 0, 0, 2, 5, 5, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1 ]
[ 465, 19493, 203, 465, 2322, 203, 465, 316, 203, 465, 16539, 203, 465, 5237, 203, 589, 622, 81, 7255, 2262, 284, 5554, 81, 612, 4243, 280, 3941, 2207, 6069, 86, 11033, 284, 5554, 81, 2620, 280, 3941, 2207, 6069, 58, 11033, 284, 5554, 81, 770, 280, 3941, 2207, 6069, 1871, 11033, 284, 16400, 280, 3447, 612, 4243, 563, 5554, 81, 612, 4243, 30, 313, 2620, 563, 5554, 81, 2620, 30, 313, 770, 563, 5554, 81, 770, 111, 284, 442, 16400, 203, 823, 3036, 30961, 1063, 44, 203, 589, 622, 81, 1163, 2262, 284, 8444, 280, 3036, 30961, 1063, 346, 284, 8444, 32, 72, 3746, 280, 313, 2912, 20, 284, 8444, 32, 1621, 280, 313, 24945, 38, 38, 34, 20, 284, 8444, 32, 2142, 81, 4254, 280, 3330, 284, 8444, 32, 2544, 1515, 81, 4254, 280, 313, 13495, 22258, 284, 8444, 32, 1648, 761, 81, 1855, 280, 313, 13495, 8501, 1648, 32, 978, 20, 284, 8444, 32, 10529, 280, 3177, 284, 442, 8444, 203, 823, 3182, 2272, 1868, 26, 984, 711, 203, 10129, 81, 4530, 81, 5177, 280, 2149, 203, 8869, 62, 9135, 280, 2149, 203, 589, 3909, 81, 37645, 81, 4531, 26, 37645, 30, 1411, 711, 10065, 665, 12982, 332, 26, 88, 711, 291, 415, 354, 1729, 646, 328, 25999, 62, 9135, 44, 324, 25999, 62, 9135, 77, 37645, 79, 280, 2149, 291, 25999, 62, 9135, 77, 37645, 1674, 1959, 79, 280, 296, 291, 442, 296, 284, 442, 12982, 332, 203, 589, 1420, 81, 2501, 26, 7621, 30, 2181, 30, 24390, 47, 2521, 30, 9541, 47, 2700, 30, 10603, 81, 8228, 47, 2700, 30, 400, 4533, 47, 2521, 711, 284, 1201, 6937, 26, 7621, 30, 1149, 27, 284, 298, 280, 1665, 284, 436, 281, 328, 6350, 44, 291, 1596, 44, 324, 1214, 1970, 954, 280, 596, 2009, 85, 79, 474, 2181, 27, 324, 298, 280, 16539, 32, 45606, 2009, 85, 79, 474, 2181, 30, 24390, 47, 15598, 30, 4533, 47, 2121, 30, 768, 12532, 47, 27958, 32, 18165, 30, 768, 16154, 4310, 27958, 32, 18165, 415, 10603, 81, 8228, 11244, 813, 1665, 490, 324, 1626, 291, 2940, 10572, 924, 44, 324, 484, 280, 5237, 32, 14806, 81, 1338, 8532, 35, 79, 324, 415, 484, 32, 12864, 610, 19493, 32, 21125, 1438, 44, 400, 4036, 324, 415, 9541, 44, 400, 1459, 440, 23905, 372, 1420, 904, 101, 20, 904, 1214, 1970, 954, 27, 400, 1459, 26, 87, 27, 324, 442, 1665, 30, 1665, 284, 813, 44, 291, 415, 9541, 44, 324, 1459, 440, 23905, 372, 2290, 2016, 30, 8855, 904, 101, 20, 904, 308, 7621, 33702, 291, 442, 1665, 30, 1665, 284, 12532, 280, 298, 32, 508, 48275, 8532, 34, 997, 7201, 346, 284, 415, 5237, 32, 1648, 81, 1338, 77, 34, 79, 2377, 225, 37, 44, 291, 12532, 280, 12532, 32, 5460, 346, 284, 415, 298, 32, 601, 687, 863, 225, 34, 44, 291, 415, 9541, 44, 324, 1459, 440, 23905, 372, 1420, 904, 101, 308, 731, 4731, 904, 1214, 1970, 954, 27, 324, 1459, 440, 9362, 1597, 904, 101, 20, 904, 12532, 27, 291, 442, 1665, 30, 298, 32, 601, 687 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 8, 8, 8, 6, 7, 7, 7, 5, 5, 8, 8, 6, 7, 7, 5, 5, 8, 8, 6, 7, 7, 5, 2, 2, 3, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 5, 6, 6, 4, 4, 6, 6, 2, 2, 5, 6, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 6, 6, 6, 4, 4, 2, 2, 5, 6, 6, 6, 6, 4, 4, 6, 6, 2, 2, 5, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 6, 4, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 7, 6, 6, 6, 7, 7, 5, 5, 5, 10, 10, 9, 10, 9, 8, 8, 4, 4, 9, 9, 8, 9, 8, 8, 7, 6, 6, 4, 4, 5, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 2, 3, 4, 2, 1, 1, 3, 5, 6, 5, 5, 5, 2, 2, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 5, 9, 9, 8, 8, 10, 13, 12, 11, 11, 10, 6, 6, 8, 8, 10, 11, 10, 13, 12, 11, 11, 10, 10, 11, 12, 10, 10, 11, 12, 10, 10, 10, 11, 13, 12, 13, 10, 10, 10, 11, 15, 14, 15, 13, 13, 14, 14, 13, 13, 13, 12, 6, 6, 5, 5, 6, 7, 6, 6, 6, 9, 9, 12, 13, 13, 13, 12, 11, 10, 7, 7, 8, 10, 11, 9, 9, 10, 11, 11, 8, 8, 8, 7, 7, 8, 8, 8, 8, 12, 15, 15, 15, 15, 15, 15, 13, 13, 14, 14, 12, 9, 9, 12, 13, 12, 7, 7, 8, 9, 9, 3, 3, 4, 4, 4, 6, 6, 6, 6, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 12, 5, 5, 6, 7, 7, 2, 2, 4, 4, 9, 10, 10, 9, 8, 7, 7, 6, 2, 2, 3, 6, 7, 7, 7, 5, 6, 5, 4, 4, 5, 3, 3, 3, 6, 6, 8, 9, 8, 2, 2, 3, 5, 6, 6, 4, 4, 5, 3, 3, 3, 5, 5, 5, 5, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 6, 6, 9, 12, 12, 12, 12, 12, 10, 10, 9, 4, 4, 5, 6, 6, 7, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 4, 4, 4, 0, 6, 6, 1, 1, 6, 0, 7, 7, 1, 1, 2, 7, 7, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 7, 0, 8, 8, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 1, 1, 1, 1, 2, 1, 2, 2, 2, 11, 11, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 0, 0, 0, 4, 4, 2, 4, 4, 1, 1, 0, 12, 12, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 11, 2, 2, 12, 12, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 1, 7, 0, 2, 2, 1, 1, 1, 9, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 2, 2, 3, 3, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 2, 2, 6, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 4, 4, 4, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 4, 4, 4, 0, 0, 0, 2, 1, 4, 4, 5, 0, 2, 2, 1, 1, 2, 5, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 2, 2, 2 ]
[ 465, 1933, 203, 465, 13092, 203, 1070, 638, 2304, 1188, 319, 203, 465, 6436, 619, 2065, 203, 465, 30306, 38, 203, 12408, 1826, 280, 13092, 32, 1826, 32, 10587, 203, 81, 6862, 81, 1403, 318, 280, 301, 284, 330, 7416, 399, 950, 225, 38, 32, 34, 30, 284, 330, 30659, 68, 551, 950, 429, 38, 32, 34, 30, 284, 330, 13238, 7416, 399, 950, 30306, 38, 32, 1262, 32, 4161, 32, 1070, 81, 955, 26, 2356, 32, 16251, 26, 40, 547, 12091, 26, 36, 30, 225, 37, 3662, 284, 330, 2982, 5319, 68, 551, 950, 30306, 38, 32, 1262, 32, 4161, 32, 1070, 81, 955, 26, 2356, 32, 16251, 26, 37, 547, 12091, 26, 35, 30, 225, 37, 3662, 284, 330, 13407, 7416, 399, 950, 2065, 32, 16251, 26, 42, 547, 12091, 26, 36, 30, 225, 38, 471, 284, 330, 34299, 5319, 68, 551, 950, 2065, 32, 16251, 26, 38, 547, 12091, 26, 35, 30, 225, 38, 471, 203, 111, 203, 81, 6862, 81, 22182, 280, 301, 284, 330, 7416, 399, 950, 225, 38, 32, 34, 30, 284, 330, 7416, 551, 950, 429, 38, 32, 34, 30, 284, 330, 13238, 7416, 399, 950, 30306, 38, 32, 1262, 32, 4161, 32, 1070, 81, 955, 26, 2356, 32, 16251, 26, 40, 547, 12091, 26, 36, 30, 225, 37, 3662, 284, 330, 13238, 7416, 551, 950, 30306, 38, 32, 1262, 32, 4161, 32, 1070, 81, 955, 26, 2356, 32, 16251, 26, 37, 547, 12091, 26, 35, 30, 225, 37, 3662, 284, 330, 13407, 7416, 399, 950, 30306, 38, 32, 1262, 32, 4161, 32, 1070, 81, 955, 26, 2356, 32, 16251, 26, 42, 547, 12091, 26, 36, 30, 225, 38, 3662, 284, 330, 13407, 7416, 551, 950, 30306, 38, 32, 1262, 32, 4161, 32, 1070, 81, 955, 26, 2356, 32, 16251, 26, 38, 547, 12091, 26, 35, 30, 225, 38, 3662, 203, 111, 203, 50, 12408, 32, 12940, 203, 589, 3340, 81, 105, 3359, 81, 18949, 6862, 2262, 284, 30306, 38, 32, 1262, 32, 6008, 81, 9578, 346, 284, 938, 280, 30306, 38, 32, 10119, 463, 1331, 683, 284, 341, 3359, 280, 30306, 38, 32, 1262, 32, 17267, 1126, 32, 1832, 26, 292, 30, 330, 1152, 31, 12365, 14205, 683, 284, 436, 19523, 30, 298, 14635, 328, 617, 6862, 81, 1403, 318, 32, 3028, 2262, 291, 30306, 38, 32, 1262, 32, 470, 81, 4502, 26, 12365, 30, 298, 14635, 27, 291, 341, 3359, 32, 470, 81, 4502, 26, 12365, 30, 298, 14635, 27, 284, 442, 341, 3359, 203, 589, 617, 6055, 81, 18949, 6862, 26, 612, 30, 2799, 30, 10245, 30, 2266, 711, 284, 1201, 739, 26, 612, 32, 3494, 1157, 610, 739, 26, 3140, 32, 3494, 1157, 284, 436, 831, 30, 354, 328, 2488, 32, 3028, 2262, 291, 415, 6937, 26, 104, 30, 30306, 38, 32, 1262, 32, 4161, 711, 324, 1201, 8868, 81, 44497, 26, 104, 30, 2799, 77, 93, 614, 10245, 30, 2266, 27, 291, 813, 44, 324, 1201, 8868, 81, 2810, 26, 104, 30, 2799, 77, 93, 614, 10245, 30, 2266, 27, 203, 50, 12408, 32, 1826, 32, 28913, 440, 2816, 392 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 0, 3, 3, 2, 2, 4, 5, 3, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 4, 9, 8, 9, 7, 8, 6, 7, 7, 7, 6, 11, 10, 11, 10, 11, 10, 9, 8, 9, 8, 8, 9, 8, 3, 3, 6, 6, 6, 6, 6, 4, 9, 8, 9, 7, 8, 6, 7, 7, 7, 6, 11, 10, 11, 10, 11, 10, 9, 8, 9, 8, 8, 9, 8, 3, 3, 6, 6, 6, 6, 4, 8, 9, 8, 9, 8, 7, 6, 7, 6, 6, 7, 6, 3, 3, 6, 6, 6, 6, 6, 4, 8, 9, 8, 9, 8, 7, 6, 7, 6, 6, 7, 6, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 4, 9, 8, 9, 7, 8, 6, 7, 7, 7, 6, 11, 10, 11, 10, 11, 10, 9, 8, 9, 8, 8, 9, 8, 3, 3, 6, 6, 6, 6, 4, 9, 8, 9, 7, 8, 6, 7, 7, 7, 6, 11, 10, 11, 10, 11, 10, 9, 8, 9, 8, 8, 9, 8, 3, 3, 6, 6, 6, 6, 4, 9, 8, 9, 7, 8, 6, 7, 7, 7, 6, 11, 10, 11, 10, 11, 10, 9, 8, 9, 8, 8, 9, 8, 3, 3, 6, 6, 6, 6, 4, 9, 8, 9, 7, 8, 6, 7, 7, 7, 6, 11, 10, 11, 10, 11, 10, 9, 8, 9, 8, 8, 9, 8, 3, 3, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 8, 7, 8, 6, 7, 7, 7, 6, 3, 3, 5, 5, 8, 7, 8, 7, 9, 9, 3, 3, 6, 5, 5, 10, 9, 10, 8, 9, 9, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 6, 4, 4, 7, 7, 7, 7, 6, 7, 6, 4, 4, 10, 9, 10, 8, 9, 9, 9, 8, 9, 8, 8, 9, 8, 5, 5, 9, 8, 9, 9, 9, 8, 9, 8, 8, 9, 8, 3, 3, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 6, 9, 8, 9, 8, 4, 4, 6, 9, 8, 9, 8, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 3, 3, 5, 7, 8, 7, 7, 10, 9, 10, 8, 9, 7, 5, 5, 7, 9, 9, 9, 10, 9, 9, 10, 11, 10, 9, 9, 9, 9, 5, 5, 6, 6, 6, 8, 10, 10, 10, 11, 10, 10, 11, 12, 11, 10, 10, 10, 10, 0, 2, 6, 5, 6, 4, 5, 4, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 1, 1, 2, 7, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 1, 2, 9, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 1, 1, 2, 11, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 1, 2, 7, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 1, 2, 9, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 1, 2, 11, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 2, 2, 0, 0, 0, 1, 2, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 4, 1, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 9, 9, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2 ]
[ 465, 316, 203, 1070, 281, 6771, 14459, 6591, 32, 1262, 32, 8774, 32, 17260, 1188, 34786, 203, 1070, 281, 6771, 14459, 6591, 32, 1262, 32, 8774, 32, 4502, 1188, 1596, 1428, 30, 6122, 652, 203, 1070, 281, 6771, 14459, 6591, 32, 1262, 32, 4073, 1188, 17048, 1335, 203, 1070, 281, 6771, 14459, 6591, 32, 1262, 32, 3435, 32, 12895, 32, 13889, 32, 27360, 32, 1439, 1188, 30383, 203, 751, 280, 17048, 1335, 4064, 426, 8223, 203, 29899, 280, 330, 53, 27644, 6218, 25, 203, 823, 390, 27644, 6218, 26, 14376, 30, 34786, 711, 284, 7898, 280, 225, 35, 42, 34, 34, 284, 665, 622, 2331, 1996, 3631, 26, 784, 711, 291, 27889, 280, 1605, 291, 19990, 280, 5436, 26, 3969, 26, 2998, 652, 26, 784, 32, 2957, 463, 27360, 81, 11400, 13356, 428, 1270, 1428, 26, 106, 27, 436, 816, 328, 6122, 652, 26, 784, 32, 2957, 463, 27360, 81, 11400, 81, 539, 2847, 5259, 291, 436, 1984, 328, 19990, 44, 324, 415, 646, 19990, 77, 965, 2786, 400, 4036, 324, 540, 422, 81, 22195, 280, 630, 32, 371, 34300, 750, 26, 965, 27, 324, 436, 15700, 328, 540, 422, 81, 22195, 44, 400, 3048, 280, 630, 32, 10627, 1308, 26, 12895, 30, 330, 2310, 683, 400, 2914, 3596, 280, 225, 34, 400, 436, 1623, 328, 15700, 44, 528, 415, 1623, 32, 22765, 32, 371, 463, 426, 683, 610, 330, 771, 3596, 950, 715, 2914, 3596, 280, 1623, 32, 22765, 32, 371, 463, 853, 683, 715, 1626, 400, 415, 629, 26, 771, 3596, 27, 848, 1596, 1428, 26, 784, 32, 2957, 463, 2171, 81, 771, 3596, 41095, 528, 1780, 280, 316, 32, 2872, 26, 100, 2473, 28, 3173, 44, 638, 83, 976, 30805, 10614, 3424, 27, 766, 4987, 86, 109, 38, 4104, 547, 45896, 3048, 547, 1363, 26, 35, 27, 528, 1245, 32, 1338, 36, 15339, 101, 2914, 3596, 436, 15700, 44, 904, 101, 30, 39119, 34854, 308, 771, 3596, 30, 1780, 490, 528, 4947, 280, 316, 32, 2872, 26, 100, 2473, 28, 6617, 44, 10442, 86, 109, 38, 12665, 45896, 3048, 547, 1363, 26, 35, 27, 528, 3960, 1199, 280, 630, 32, 1903, 26, 1311, 30, 4947, 27, 528, 415, 3960, 1199, 461, 630, 32, 297, 28798, 14968, 26, 42173, 711, 715, 27889, 32, 1689, 26, 42173, 710, 42173, 3490, 291, 442, 27889, 203, 1163, 280, 7316, 284, 330, 426, 950, 330, 85, 643, 1804, 91, 370, 284, 330, 6332, 950, 428, 291, 301, 324, 330, 3007, 950, 330, 27360, 370, 324, 330, 668, 950, 330, 27360, 81, 13889, 370, 324, 330, 426, 950, 330, 85, 643, 1804, 91, 81, 27360, 370, 324, 330, 1172, 950, 330, 53, 27644, 6218, 370, 324, 330, 2310, 950, 330, 21011, 645, 1346, 537, 9232, 360, 43512, 489, 47279, 17171, 34786, 6985, 14714, 544, 322, 1451, 432, 2914, 3596, 1292, 15700, 32, 7645, 372, 1370, 537, 9232, 360, 4755, 461, 2290, 322, 34786, 4169, 32, 7766, 1933, 322, 1933, 19177, 322, 2552, 1531, 313, 29706, 848, 816, 36, 40, 38, 6985, 20, 2442, 6418, 324, 330, 2184, 950, 428, 400, 301, 528, 330, 426, 950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 4, 5, 5, 0, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 6, 6, 8, 10, 10, 12, 12, 12, 15, 14, 15, 14, 16, 16, 16, 16, 10, 13, 13, 13, 14, 13, 11, 12, 12, 12, 14, 14, 17, 16, 17, 16, 18, 18, 18, 18, 18, 18, 11, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 9, 10, 9, 7, 7, 6, 6, 9, 9, 9, 8, 8, 10, 11, 11, 11, 10, 11, 10, 6, 6, 7, 7, 7, 8, 8, 8, 7, 7, 7, 10, 10, 12, 13, 13, 12, 13, 12, 12, 14, 14, 8, 8, 11, 10, 10, 11, 8, 8, 9, 9, 9, 9, 9, 9, 11, 15, 16, 14, 15, 14, 16, 16, 12, 12, 14, 14, 14, 11, 11, 15, 14, 14, 17, 18, 16, 17, 16, 18, 18, 12, 12, 8, 8, 9, 12, 13, 13, 12, 10, 10, 12, 12, 15, 14, 15, 14, 16, 16, 16, 16, 16, 9, 9, 12, 12, 16, 17, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 15, 14, 15, 14, 10, 10, 13, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 15, 15, 14, 14, 14, 10, 10, 12, 12, 16, 17, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 15, 14, 15, 14, 10, 10, 13, 12, 12, 14, 15, 14, 15, 14, 14, 14, 10, 10, 11, 13, 12, 12, 14, 15, 15, 15, 14, 15, 14, 11, 11, 15, 16, 15, 17, 16, 18, 18, 4, 4, 5, 0, 3, 2, 2, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 6, 6, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 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, 7, 7, 10, 10, 8, 9, 9, 10, 10, 13, 13 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 4, 1, 6, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 1, 6, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 1, 12, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 7, 7, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 3, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 5, 5, 2, 2, 2, 3, 3, 3, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 5, 5, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 3, 3, 5, 5, 3, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 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, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 4, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 4, 4, 3, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 1, 1, 1, 2, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11, 2, 2, 1, 1, 1, 2 ]
[ 1070, 14215, 1188, 14215, 203, 1070, 19486, 32, 1163, 1188, 3383, 11396, 30, 3383, 4852, 30, 38480, 35547, 203, 1070, 19486, 32, 1711, 1208, 1188, 5104, 1711, 1208, 203, 1070, 19486, 32, 1063, 720, 1188, 3383, 720, 4615, 203, 1070, 19486, 32, 2168, 1188, 9286, 203, 1070, 19486, 32, 44061, 1188, 447, 782, 1110, 203, 465, 1133, 203, 465, 7138, 203, 823, 3717, 1547, 1612, 26, 4615, 30, 3383, 720, 4615, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 3523, 30, 1359, 81, 1003, 47, 2521, 30, 1359, 81, 770, 47, 2521, 711, 357, 202, 4615, 3667, 1664, 3207, 784, 30, 3523, 27, 357, 202, 784, 32, 17376, 41648, 1547, 33, 1003, 1509, 2131, 357, 202, 784, 1365, 1253, 878, 1446, 280, 9286, 41648, 2950, 2131, 357, 202, 784, 1365, 8151, 878, 1446, 280, 9286, 41648, 7028, 2131, 357, 202, 784, 1365, 1253, 1446, 280, 447, 782, 1110, 346, 357, 202, 784, 1365, 8151, 1446, 280, 447, 782, 1110, 346, 357, 202, 784, 32, 1297, 1063, 26, 1163, 81, 770, 30, 1359, 81, 1003, 27, 357, 202, 784, 1365, 3543, 1446, 280, 5104, 1711, 1208, 14141, 6435, 7105, 3439, 357, 202, 109, 355, 202, 20, 1253, 563, 630, 32, 678, 1908, 30, 355, 202, 20, 2853, 563, 630, 32, 678, 6098, 30, 355, 202, 20, 8151, 563, 630, 32, 678, 7028, 30, 357, 202, 835, 429, 36, 27, 357, 202, 784, 32, 668, 280, 1605, 357, 202, 1063, 720, 4615, 3667, 1664, 3207, 784, 30, 630, 32, 668, 27, 357, 202, 784, 32, 1297, 6435, 26, 784, 1365, 1163, 6890, 203, 202, 589, 1487, 1063, 26, 784, 30, 3570, 81, 770, 30, 3570, 81, 1003, 711, 357, 202, 784, 32, 2853, 81, 3965, 280, 225, 34, 357, 202, 325, 3570, 81, 1003, 44, 355, 202, 784, 32, 2853, 81, 3965, 6592, 225, 35, 357, 202, 1824, 44, 355, 202, 2957, 81, 1003, 280, 3383, 11396, 26, 1536, 280, 1133, 32, 1003, 6182, 357, 202, 325, 3570, 81, 770, 44, 355, 202, 784, 32, 2853, 81, 3965, 6592, 225, 36, 357, 202, 1824, 44, 355, 202, 2957, 81, 770, 280, 3383, 4852, 26, 1536, 280, 1133, 32, 1003, 1026, 2179, 800, 280, 617, 4912, 86, 15231, 52, 904, 75, 2113, 11885, 280, 225, 42, 40, 38, 34, 34, 27, 357, 202, 784, 32, 1003, 1131, 81, 770, 280, 3570, 81, 770, 357, 202, 784, 32, 1003, 1131, 81, 1003, 280, 3570, 81, 1003, 203, 202, 589, 1487, 6435, 26, 784, 30, 1359, 668, 711, 357, 202, 784, 32, 668, 280, 428, 355, 202, 21455, 35547, 41648, 1547, 2113, 630, 32, 1003, 1131, 81, 770, 471, 355, 202, 21455, 35547, 41648, 1043, 2113, 630, 32, 1003, 1131, 81, 1003, 27, 357, 202, 79, 357, 202, 1163, 668, 32, 668, 280, 630, 32, 668, 357, 202, 1163, 668, 32, 94, 32, 470, 720, 26, 784, 32, 668, 27, 203, 202, 589, 1202, 1969, 3211, 26, 784, 711, 357, 202, 6171, 280, 630, 1365, 1163, 6494, 12331, 346, 357, 202, 325, 15805, 461, 15805, 77, 35, 79, 610, 630, 32, 1003, 1131, 81, 1003, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 7, 4, 4, 8, 7, 8, 7, 11, 11, 11, 11, 11, 4, 4, 8, 7, 9, 9, 9, 6, 6, 8, 12, 12, 4, 4, 8, 7, 9, 9, 9, 6, 6, 8, 12, 12, 4, 4, 8, 7, 9, 9, 6, 6, 8, 8, 8, 4, 4, 8, 7, 9, 9, 6, 6, 8, 8, 8, 4, 4, 8, 7, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 8, 7, 9, 9, 6, 6, 8, 8, 8, 11, 11, 11, 8, 8, 9, 9, 9, 12, 12, 12, 10, 11, 12, 12, 9, 9, 9, 12, 12, 12, 10, 11, 12, 12, 9, 9, 9, 12, 12, 12, 10, 11, 12, 12, 9, 9, 9, 9, 8, 10, 8, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 9, 7, 4, 4, 8, 7, 8, 8, 7, 9, 8, 10, 10, 2, 2, 3, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 7, 4, 4, 5, 5, 6, 6, 5, 5, 5, 10, 9, 10, 10, 10, 8, 8, 9, 5, 5, 6, 6, 6, 6, 10, 10, 10, 9, 9, 12, 12, 14, 13, 13, 15, 16, 15, 4, 4, 5, 5, 6, 6, 5, 5, 5, 10, 9, 10, 10, 10, 8, 8, 9, 5, 5, 6, 6, 6, 6, 10, 10, 10, 9, 9, 11, 11, 13, 12, 12, 14, 15, 14, 11, 13, 12, 12, 14, 16, 16, 16, 16, 16, 16, 11, 12, 12, 13, 13, 13, 13, 13, 11, 4, 4, 8, 7, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 8, 7, 8, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 7, 8, 6, 6, 7, 7, 9, 9, 9, 13, 13, 9, 10, 11, 11, 11, 11, 9, 7, 7, 9, 9, 9, 13, 13, 9, 10, 11, 11, 11, 11, 9, 7, 7, 7, 4, 4, 8, 8, 7, 8, 6, 6, 7, 8, 4, 4, 9, 9, 8, 9, 7, 8, 8, 7, 9, 8, 9, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 11, 11, 9, 8, 4, 4, 5, 5, 6, 6, 8, 9, 8, 7, 7, 8, 9, 9, 9, 9, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 0, 7, 7, 0, 8, 8, 1, 1, 2, 1, 2, 2, 3, 3, 2, 8, 8, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 2, 0, 0, 0, 0, 1, 4, 4, 0, 0, 1, 2, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 3, 3, 3, 0, 1, 2, 1, 2, 2, 2, 3, 3, 3, 0, 1, 2, 3, 2, 2, 2, 3, 3, 3, 0, 1, 2, 5, 2, 2, 2, 3, 3, 3, 3, 1, 1, 1, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 2, 2, 1, 0, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 4, 4, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 35094, 203, 1070, 14785, 32, 12023, 32, 7741, 32, 2958, 32, 7741, 32, 7263, 81, 2285, 1188, 20762, 2710, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 823, 20762, 2710, 1006, 26, 858, 32, 7233, 711, 334, 665, 894, 81, 9281, 81, 1132, 81, 1793, 81, 9582, 26, 784, 711, 284, 5359, 280, 3447, 88, 35, 563, 313, 88, 35, 81, 853, 392, 313, 88, 36, 563, 313, 88, 36, 81, 853, 3612, 284, 6492, 81, 280, 3447, 94, 35, 563, 313, 94, 35, 81, 853, 392, 313, 94, 36, 563, 313, 94, 36, 81, 853, 3612, 284, 18679, 81, 280, 3447, 98, 35, 563, 313, 98, 35, 81, 853, 392, 313, 98, 36, 563, 313, 98, 36, 81, 853, 3612, 284, 665, 617, 3359, 34, 26, 20283, 30, 6492, 30, 11229, 47, 2521, 711, 397, 630, 32, 5299, 440, 98, 35, 81, 853, 392, 18679, 27, 397, 630, 32, 5299, 440, 94, 35, 81, 853, 392, 6492, 27, 397, 630, 32, 5299, 440, 88, 36, 81, 853, 392, 11229, 27, 397, 442, 313, 7263, 81, 3359, 81, 1267, 20, 284, 665, 617, 3359, 35, 26, 20283, 30, 11420, 30, 11229, 47, 2521, 711, 397, 630, 32, 5299, 440, 98, 35, 81, 853, 392, 18679, 27, 397, 630, 32, 5299, 440, 94, 35, 81, 853, 392, 11420, 27, 397, 630, 32, 5299, 440, 88, 36, 81, 853, 392, 11229, 27, 397, 442, 313, 7263, 81, 3359, 81, 1267, 20, 284, 665, 617, 3359, 36, 26, 19950, 30, 2266, 30, 7533, 47, 2521, 711, 397, 630, 32, 5299, 440, 98, 35, 81, 853, 392, 16861, 27, 397, 630, 32, 5299, 440, 94, 35, 81, 853, 392, 2266, 27, 397, 630, 32, 5299, 440, 88, 36, 81, 853, 392, 7533, 27, 397, 442, 313, 7263, 81, 3359, 81, 1267, 20, 284, 665, 617, 3359, 37, 26, 19950, 30, 1760, 30, 7533, 47, 2521, 711, 397, 630, 32, 5299, 440, 98, 35, 81, 853, 392, 16861, 27, 397, 630, 32, 5299, 440, 94, 35, 81, 853, 392, 1760, 27, 397, 630, 32, 5299, 440, 88, 36, 81, 853, 392, 7533, 27, 397, 442, 313, 7263, 81, 3359, 81, 1267, 20, 284, 436, 2771, 328, 4638, 3359, 34, 30, 617, 3359, 35, 30, 617, 3359, 36, 30, 617, 3359, 37, 711, 397, 1374, 280, 20762, 2710, 26, 616, 10021, 81, 3359, 47, 3359, 30, 16861, 81, 678, 347, 98, 35, 392, 2266, 81, 678, 347, 94, 35, 392, 7533, 81, 678, 347, 88, 36, 657, 397, 630, 32, 5299, 26, 616, 313, 7263, 81, 3359, 81, 1267, 392, 616, 1374, 32, 1297, 81, 7263, 81, 4156, 26, 5905, 30, 6492, 3739, 18679, 37115, 334, 665, 894, 81, 1347, 81, 1132, 26, 784, 711, 284, 665, 617, 3359, 2262, 397, 630, 32, 5066, 440, 7700, 7829, 2670, 10021, 81, 3359, 7144, 284, 1374, 280, 20762, 2710, 26, 7263, 81, 3359, 11645, 3359, 27, 284, 623, 630, 32, 23895, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 10, 8, 10, 10, 10, 10, 10, 7, 10, 10, 10, 8, 10, 10, 10, 10, 10, 4, 4, 7, 6, 6, 10, 10, 10, 8, 10, 10, 10, 10, 10, 7, 10, 10, 10, 8, 10, 10, 10, 10, 10, 4, 4, 7, 6, 6, 10, 10, 10, 8, 10, 10, 10, 10, 10, 7, 10, 10, 10, 8, 10, 10, 10, 10, 10, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 7, 8, 6, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 7, 8, 6, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 7, 8, 6, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 7, 8, 6, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 5, 5, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 5, 5, 8, 8, 10, 10, 10, 10, 12, 12, 11, 12, 10, 10, 12, 12, 11, 13, 13, 13, 10, 12, 12, 11, 13, 13, 13, 10, 12, 12, 11, 13, 13, 13, 6, 6, 9, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 12, 12, 12, 12, 12, 11, 12, 11, 11, 12, 11, 12, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 8, 8, 10, 10, 10, 9, 10, 8, 4, 4, 5, 9, 10, 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, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 10, 10, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 6, 6, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 4, 4, 7, 7, 7, 1, 1, 3, 3, 3, 3, 3, 3, 5, 5, 3, 3, 7, 7, 3, 7, 7, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 2, 1, 0, 0, 5, 1, 1, 2, 1, 0, 0, 7, 1, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 5, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 4, 4, 2, 0, 2, 1 ]
[ 589, 2676, 81, 4817, 81, 1409, 81, 7615, 81, 40110, 26, 1357, 711, 284, 415, 1326, 32, 3604, 81, 6946, 610, 330, 525, 555, 2763, 32, 508, 950, 291, 442, 284, 3636, 10091, 463, 1061, 7494, 444, 7382, 44, 904, 100, 25, 904, 1326, 32, 3604, 81, 6946, 27, 203, 589, 2676, 81, 4817, 81, 10668, 81, 605, 26, 1357, 711, 284, 1474, 280, 330, 6946, 81, 1553, 81, 105, 615, 32, 978, 438, 3823, 436, 904, 101, 30, 904, 101, 25, 904, 308, 291, 1326, 32, 3604, 81, 3142, 30, 1326, 32, 3604, 81, 5721, 27, 284, 1326, 32, 3841, 32, 1821, 26, 1436, 32, 4434, 463, 6261, 31, 42, 2847, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 3, 3, 2, 2, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 6, 2, 2, 6, 7, 5, 6, 5, 8, 7, 8, 7, 9, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 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, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 0, 0, 2, 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 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2322, 203, 465, 13092, 203, 1070, 23682, 49141, 1188, 4450, 203, 1070, 23682, 49141, 1188, 8745, 203, 50, 12408, 32, 12940, 26, 3473, 1057, 1126, 683, 203, 589, 3345, 81, 858, 81, 1515, 26, 1357, 711, 284, 665, 3752, 81, 2546, 81, 858, 81, 1515, 2262, 291, 415, 2322, 32, 983, 32, 4658, 463, 858, 81, 2991, 81, 12655, 81, 3169, 7831, 324, 8745, 32, 100, 41718, 463, 858, 81, 2991, 81, 12655, 81, 3169, 683, 284, 1326, 32, 669, 3220, 2265, 26, 3507, 81, 2546, 81, 858, 81, 1515, 27, 203, 50, 12408, 32, 1826, 32, 539, 18972, 463, 6008, 81, 2946, 370, 330, 2546, 81, 858, 81, 1515, 683, 203, 589, 894, 81, 5536, 81, 2991, 81, 12655, 81, 3169, 81, 9081, 2262, 284, 4450, 32, 5536, 81, 2536, 26, 291, 1619, 1279, 324, 330, 7130, 49141, 950, 301, 400, 330, 6426, 81, 426, 950, 330, 858, 81, 2991, 81, 12655, 81, 3169, 370, 400, 330, 3169, 81, 858, 950, 330, 59, 1159, 2583, 14380, 20040, 400, 7610, 2991, 81, 12655, 81, 3169, 950, 428, 528, 13838, 1206, 31, 29032, 370, 528, 330, 29032, 33, 1206, 81, 29032, 32, 7070, 370, 528, 35100, 2760, 370, 400, 48095, 291, 801, 291, 5867, 81, 1515, 1057, 4882, 33, 858, 31, 5536, 31, 2991, 31, 12655, 31, 3169, 25, 284, 829, 284, 4921, 81, 8078, 280, 2322, 32, 26366, 463, 858, 81, 2991, 81, 12655, 81, 3169, 683, 284, 1201, 23728, 7130, 49141, 32, 6426, 81, 426, 1540, 31, 1206, 31, 29032, 25, 328, 4921, 81, 8078, 284, 1201, 330, 858, 81, 2991, 81, 12655, 81, 3169, 31, 29032, 25, 328, 4921, 81, 8078, 284, 623, 2156, 463, 858, 81, 2991, 81, 12655, 81, 3169, 33, 10229, 32, 2760, 683, 619, 296, 44, 291, 1201, 23728, 7130, 49141, 32, 3169, 81, 858, 1540, 25, 328, 296, 32, 850, 346, 284, 623, 2156, 463, 858, 81, 2991, 81, 12655, 81, 3169, 33, 10229, 32, 9632, 683, 619, 296, 44, 291, 1201, 330, 59, 1159, 2583, 14380, 20149, 328, 296, 32, 850, 346, 284, 623, 2156, 463, 858, 81, 2991, 81, 12655, 81, 3169, 7404, 1090, 330, 858, 81, 2991, 81, 12655, 81, 3169, 31, 29032, 7404, 1090, 330, 10229, 32, 2760, 683, 619, 296, 44, 291, 1201, 23728, 7130, 49141, 32, 3169, 81, 858, 1540, 25, 328, 296, 32, 850, 346, 284, 623, 2156, 463, 858, 81, 2991, 81, 12655, 81, 3169, 7404, 1090, 330, 858, 81, 2991, 81, 12655, 81, 3169, 31, 29032, 7404, 1090, 330, 10229, 32, 9632, 683, 619, 296, 44, 291, 1201, 330, 59, 1159, 2583, 14380, 25, 328, 296, 32, 850, 346, 284, 623, 2156, 463, 858, 81, 2991, 81, 12655, 81, 3169, 7404, 1090, 23728, 7130, 49141, 32, 6426, 81, 426, 1540, 31, 1206, 31, 29032, 7404, 1090, 330, 10229, 32, 9632, 683, 619, 296, 44, 291, 1201, 23728, 7130, 49141, 32, 3169, 81, 858, 1540, 25, 328, 296, 32, 850, 346, 284, 623, 2156, 463, 858, 81, 2991, 81, 12655, 81, 3169, 33, 29032, 33, 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, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 2, 5, 4, 5, 4, 6, 5, 7, 7, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 10, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 6, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 0, 2, 6, 5, 6, 4, 5, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 7, 7, 7, 6, 6, 6, 7, 8, 8, 11, 11, 11, 9, 10, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 13, 13, 11, 12, 12, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 12, 12, 8, 8, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 3, 3, 6, 6, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 3, 3, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 3, 3, 4, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 3, 3, 4, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 4, 4, 4, 6, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 3, 3, 4, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 7, 7, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 3, 3, 4, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 7, 7, 4, 4, 4, 6, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 3, 3, 4, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 7, 7, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 3, 3, 4, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 7, 7, 7, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 4, 4, 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, 2, 0, 0, 8, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 4, 4, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 894, 1188, 47455, 7233, 203, 1070, 894, 1188, 622, 81, 21945, 81, 1163, 203, 1070, 894, 1188, 1420, 81, 2585, 203, 1070, 4395, 1188, 7841, 203, 1070, 5439, 4359, 1188, 12441, 4359, 15395, 203, 589, 1420, 81, 2585, 81, 325, 81, 39238, 331, 2323, 36, 81, 297, 81, 7230, 26, 1298, 711, 284, 1596, 44, 291, 1188, 29252, 331, 2323, 36, 284, 2940, 29986, 44, 291, 29252, 331, 2323, 36, 280, 1665, 284, 4626, 280, 9254, 44, 29252, 331, 2323, 36, 438, 646, 1665, 284, 442, 1420, 81, 2585, 26, 1298, 30, 4626, 27, 203, 823, 2108, 6139, 4359, 15395, 26, 15395, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 1359, 280, 622, 81, 21945, 81, 1163, 463, 6139, 4359, 15395, 370, 12797, 291, 630, 32, 21945, 280, 12441, 4359, 15395, 26, 1163, 30, 1665, 27, 284, 665, 894, 81, 465, 26, 784, 711, 291, 630, 32, 6549, 26, 6139, 4359, 15395, 27, 284, 477, 1945, 81, 2585, 81, 325, 81, 39238, 331, 2323, 36, 81, 297, 81, 7230, 284, 477, 2675, 32, 1473, 26, 6139, 4359, 15395, 30, 7610, 371, 81, 5136, 81, 1170, 81, 4603, 683, 284, 477, 2675, 32, 1473, 26, 6139, 4359, 15395, 30, 330, 7211, 683, 284, 665, 894, 81, 1536, 26, 784, 30, 6672, 30, 617, 371, 81, 5136, 81, 1170, 81, 4603, 711, 291, 617, 371, 81, 5136, 81, 1170, 81, 4603, 32, 601, 81, 853, 280, 41449, 3986, 370, 225, 41, 2177, 291, 630, 32, 21945, 32, 6174, 346, 291, 617, 371, 81, 5136, 81, 1170, 81, 4603, 32, 862, 81, 10910, 81, 1793, 26, 324, 330, 5007, 370, 1802, 39, 38, 37, 36, 30, 324, 330, 12243, 370, 324, 330, 12243, 370, 324, 330, 12243, 370, 324, 7610, 12243, 370, 324, 330, 1212, 428, 34, 31, 43, 6155, 429, 19450, 50, 5007, 370, 291, 829, 291, 630, 32, 862, 25642, 26, 7211, 30, 330, 3986, 370, 225, 41, 27, 284, 477, 1945, 81, 2585, 81, 325, 81, 39238, 331, 2323, 36, 81, 297, 81, 7230, 284, 477, 2675, 32, 1473, 26, 6139, 4359, 15395, 30, 7610, 371, 81, 5136, 81, 1170, 81, 4603, 683, 284, 477, 2675, 32, 1473, 26, 6139, 4359, 15395, 30, 330, 7211, 683, 284, 665, 894, 81, 12182, 26, 784, 30, 6672, 30, 617, 371, 81, 5136, 81, 1170, 81, 4603, 711, 291, 665, 5209, 81, 7469, 26, 2035, 30, 2601, 30, 1256, 30, 26355, 30, 5439, 4359, 81, 1199, 30, 5439, 4359, 81, 3968, 30, 1541, 711, 324, 415, 308, 2003, 4359, 81, 1199, 30, 5439, 4359, 81, 3968, 27, 610, 2726, 12243, 370, 7610, 12243, 7831, 400, 442, 41449, 3986, 370, 225, 41, 2177, 324, 4348, 308, 2003, 4359, 81, 1199, 30, 5439, 4359, 81, 3968, 27, 610, 2726, 605, 370, 7610, 605, 7831, 400, 442, 41449, 1632, 370, 225, 35, 38, 2177, 291, 617, 371, 81, 5136, 81, 1170, 81, 4603, 32, 2671, 81, 7469, 280, 5209, 81, 7469, 291, 1359, 280, 622, 81, 21945, 81, 1163, 463, 6139, 4359, 15395, 370, 301, 324, 330, 12182, 950, 301, 400, 330, 4893, 950, 301, 528 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 7, 7, 7, 3, 3, 4, 4, 4, 4, 8, 8, 8, 7, 7, 2, 2, 4, 4, 5, 5, 7, 7, 7, 6, 6, 6, 2, 2, 3, 5, 5, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 8, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 7, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 11, 11, 9, 10, 9, 5, 5, 9, 10, 8, 9, 8, 5, 5, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 10, 10, 8, 9, 9, 9, 9, 8, 8, 8, 10, 10, 8, 8, 10, 10, 8, 8, 10, 10, 8, 8, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 5, 5, 8, 9, 9, 8, 9, 8, 8, 10, 10, 8, 9, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 7, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 7, 6, 6, 8, 11, 11, 11, 11, 10, 10, 11, 11, 11, 10, 9, 9, 12, 12, 10, 12, 12, 8, 8, 10, 14, 14, 12, 13, 12, 8, 8, 9, 12, 12, 12, 12, 11, 11, 12, 12, 12, 11, 10, 10, 13, 13, 11, 13, 13, 9, 9, 11, 15, 15, 13, 14, 14, 13, 5, 5, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 9, 10, 10, 13, 13, 11, 12, 12, 15, 15, 13, 14 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 2, 0, 0, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 3, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 5, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 9, 2, 2, 11, 11, 11, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 3, 3, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 3, 1, 0, 0, 4, 1, 1, 1, 1, 0, 0, 3, 3, 3, 0, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 1, 2, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 2, 2, 1, 2, 1, 2 ]
[ 465, 5839, 1356, 203, 465, 2322, 203, 465, 540, 1247, 203, 1070, 540, 1247, 32, 4538, 1188, 9195, 2304, 203, 1070, 540, 1247, 32, 2304, 1188, 9336, 2304, 203, 1070, 3312, 32, 2243, 1188, 894, 203, 4602, 81, 4065, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 100, 1247, 3667, 761, 36762, 2322, 32, 568, 1515, 30, 313, 6698, 657, 203, 823, 43877, 11932, 7233, 26, 858, 32, 7233, 711, 284, 665, 894, 81, 5371, 81, 15825, 26, 784, 711, 291, 623, 2156, 26, 500, 32, 983, 32, 2524, 26, 4602, 81, 4065, 30, 313, 100, 1247, 32, 5371, 81, 15825, 2113, 313, 100, 657, 619, 296, 44, 324, 3610, 280, 296, 32, 850, 922, 2998, 4446, 346, 291, 537, 280, 9195, 2304, 1114, 5536, 81, 5371, 81, 15825, 81, 1423, 922, 2998, 4446, 346, 291, 415, 3610, 863, 537, 44, 324, 436, 1628, 328, 5839, 1356, 32, 44240, 81, 4903, 26, 1455, 30, 537, 711, 400, 1459, 26, 928, 27, 324, 537, 81, 3607, 280, 2430, 2868, 33, 100, 1247, 32, 5371, 32, 890, 20, 324, 623, 2156, 26, 890, 81, 3607, 30, 313, 12108, 657, 619, 537, 81, 761, 44, 400, 537, 81, 761, 32, 1821, 26, 4434, 2304, 32, 4770, 81, 4434, 5528, 96, 2296, 2524, 26, 890, 2610, 324, 630, 32, 5066, 440, 5371, 13364, 3261, 438, 36205, 32, 313, 2855, 313, 1812, 3261, 438, 15282, 821, 904, 101, 313, 2855, 313, 4282, 1631, 2421, 458, 810, 16924, 313, 2855, 20062, 8391, 904, 101, 5774, 33, 100, 1247, 32, 5371, 81, 15825, 32254, 904, 308, 890, 81, 3607, 30, 29898, 537, 81, 3607, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 8, 8, 7, 8, 8, 4, 5, 6, 6, 4, 4, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 14, 13, 14, 12, 13, 12, 13, 13, 13, 12, 12, 14, 14, 14, 14, 14, 14, 14, 10, 12, 12, 8, 8, 5, 5, 5, 8, 8, 12, 13, 12, 11, 11, 10, 4, 4, 6, 6, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 9, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 7, 7, 10, 9, 10, 10, 10, 9, 10, 9, 9, 9, 7, 7, 11, 12, 11, 6, 6, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 7, 12, 13, 13, 13, 12, 12, 14, 14, 10, 10, 12, 12, 7, 7, 7, 12, 12, 11, 12, 11, 14, 14, 13, 14, 14, 14, 13, 18, 17, 16, 15, 16, 15, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 12, 12, 12, 11, 11, 11, 12, 12, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 3, 2, 2, 1, 1, 1, 2, 0, 7, 7, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 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 ]
[ 465, 802, 203, 465, 1913, 1356, 30, 5237, 203, 465, 1672, 3922, 203, 465, 316, 203, 465, 1133, 203, 823, 3233, 81, 2175, 44, 203, 202, 589, 1156, 1664, 3207, 784, 30, 1112, 30, 3248, 30, 1366, 30, 761, 681, 711, 357, 202, 784, 32, 1112, 47, 1112, 357, 202, 784, 32, 4295, 5487, 357, 202, 784, 32, 2999, 4295, 5487, 357, 202, 784, 32, 761, 681, 47, 761, 681, 357, 202, 784, 32, 1786, 347, 1499, 32, 2175, 32, 508, 20, 357, 202, 784, 32, 12256, 347, 1499, 32, 2175, 32, 508, 20, 357, 202, 784, 32, 33569, 35637, 24258, 33, 39, 32, 34, 308, 2839, 45, 632, 45, 4017, 18389, 225, 40, 32, 34, 45, 272, 31, 2045, 45, 13675, 44, 35, 32, 43, 32, 36, 27, 26297, 33, 36, 34, 35, 34, 34, 35, 35, 39, 18402, 33, 37, 32, 40, 20, 357, 202, 784, 32, 10954, 347, 35, 34, 34, 20, 357, 202, 784, 32, 3248, 47, 3248, 357, 202, 784, 32, 4680, 47, 1366, 203, 202, 589, 745, 81, 1903, 81, 2536, 26, 784, 711, 357, 202, 90, 280, 1913, 1356, 32, 5068, 26, 784, 32, 1786, 27, 357, 202, 90, 32, 524, 1357, 463, 2788, 370, 2430, 1903, 49, 1516, 16851, 784, 32, 10954, 5667, 24, 1366, 347, 474, 596, 26, 784, 32, 4680, 27, 474, 14248, 5377, 47, 272, 24, 2859, 10068, 99, 47, 761, 681, 27140, 784, 32, 761, 681, 5667, 23, 36, 34, 2851, 1924, 474, 630, 32, 1112, 27, 357, 202, 90, 32, 524, 2111, 463, 3663, 370, 630, 32, 12256, 27, 357, 202, 90, 32, 524, 2111, 463, 1240, 31, 4867, 370, 630, 32, 33569, 27, 22019, 202, 90, 32, 416, 5078, 346, 357, 202, 601, 687, 30, 442, 2076, 30, 4826, 280, 420, 32, 371, 8443, 346, 357, 202, 784, 32, 4295, 280, 420, 32, 371, 761, 922, 850, 346, 357, 202, 784, 32, 2999, 4295, 9372, 630, 32, 4295, 203, 202, 589, 622, 81, 28693, 26, 784, 711, 357, 202, 1294, 575, 47, 1772, 3922, 32, 3922, 26, 784, 32, 2999, 4295, 30, 784, 32, 1112, 27, 357, 202, 601, 5081, 575, 32, 28693, 346, 203, 202, 589, 622, 81, 2035, 4243, 26, 784, 711, 357, 202, 1294, 575, 47, 1772, 3922, 32, 3922, 26, 784, 32, 2999, 4295, 30, 784, 32, 1112, 27, 357, 202, 601, 5081, 575, 32, 2035, 4243, 346, 203, 202, 589, 622, 81, 2536, 26, 784, 711, 357, 202, 1294, 575, 47, 1772, 3922, 32, 3922, 26, 784, 32, 2999, 4295, 30, 784, 32, 1112, 27, 357, 202, 601, 5081, 575, 32, 761, 11400, 346, 203, 202, 589, 2164, 81, 2536, 26, 784, 711, 357, 202, 5525, 630, 32, 4680, 333, 630, 32, 3248, 44, 355, 202, 784, 32, 1409, 81, 1903, 81, 2536, 346, 355, 202, 1003, 32, 7840, 26, 35, 27, 355, 202, 784, 32, 4680, 9372, 35, 34, 34, 355, 202, 1216, 2706, 102, 47648, 6757, 596, 26, 784, 32, 4680, 27, 474, 313, 3276, 13585, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 3, 4, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 3, 8, 7, 8, 6, 7, 4, 4, 8, 7, 8, 6, 4, 4, 8, 7, 8, 8, 6, 4, 4, 8, 7, 8, 8, 6, 7, 7, 4, 4, 8, 7, 8, 6, 8, 8, 8, 8, 8, 8, 4, 4, 8, 7, 8, 6, 8, 8, 8, 8, 8, 8, 4, 4, 8, 7, 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, 4, 4, 8, 7, 8, 6, 8, 8, 8, 8, 4, 4, 8, 7, 8, 6, 7, 4, 4, 8, 7, 8, 6, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 8, 9, 8, 10, 9, 10, 8, 4, 4, 8, 7, 8, 8, 7, 9, 9, 7, 16, 16, 16, 16, 16, 15, 16, 13, 15, 15, 15, 12, 12, 14, 16, 15, 16, 14, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 12, 9, 11, 11, 11, 11, 11, 8, 8, 9, 10, 7, 4, 4, 8, 7, 8, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 8, 7, 8, 8, 7, 9, 9, 9, 9, 7, 8, 9, 7, 4, 4, 8, 7, 8, 8, 7, 4, 4, 8, 8, 7, 7, 8, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 8, 7, 8, 6, 6, 10, 11, 11, 10, 9, 8, 4, 4, 8, 7, 8, 8, 6, 6, 7, 8, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 9, 9, 8, 9, 8, 10, 9, 10, 10, 8, 10, 9, 10, 8, 4, 4, 5, 5, 8, 7, 8, 7, 2, 2, 3, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 9, 9, 8, 9, 8, 10, 9, 10, 10, 8, 10, 9, 10, 8, 4, 4, 5, 5, 8, 7, 8, 8, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 9, 9, 8, 9, 8, 10, 9, 10, 10, 8, 10, 9, 10, 8, 4, 4, 5, 5, 8, 7, 8, 8, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 7, 8, 6, 6, 7, 8, 5, 5, 5, 10, 9, 10, 10, 10, 10, 10, 9, 6, 6, 10, 9, 10, 9, 10, 9, 6, 6, 10, 9, 10, 8, 9, 9, 9, 6, 6, 7, 7, 12, 11, 11, 9, 11, 13, 12, 13, 11, 8, 8, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 5, 5, 5, 0, 0, 1, 1, 1, 2, 3, 2, 5, 2, 7, 2, 9, 9, 2, 0, 0, 0, 0, 2, 0, 2, 4, 4, 0, 0, 2, 0, 4, 4, 0, 0, 2, 2, 0, 4, 4, 0, 0, 2, 2, 0, 2, 2, 4, 4, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 4, 4, 0, 0, 2, 0, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 3, 3, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 4, 4, 0, 0, 2, 2, 0, 0, 2, 2, 3, 3, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 3, 2, 1, 4, 4, 1, 1, 0, 0, 2, 1, 3, 3, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 3, 2, 1, 4, 4, 1, 1, 0, 0, 2, 2, 1, 3, 3, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 3, 2, 1, 4, 4, 1, 1, 0, 0, 2, 2, 1, 3, 3, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 0, 2, 2, 2, 3, 3, 3, 3, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 9760, 32, 13449, 32, 17194, 619, 36261, 203, 1070, 34380, 1188, 319, 203, 589, 26703, 81, 858, 26, 4850, 30, 9750, 30, 6186, 30, 3051, 711, 284, 415, 19757, 32, 6557, 610, 3051, 44, 291, 1459, 2884, 33250, 299, 904, 101, 645, 3051, 904, 86, 13585, 904, 308, 5462, 30, 3051, 3662, 284, 415, 19757, 32, 6557, 610, 3051, 44, 291, 2078, 280, 1149, 346, 291, 436, 298, 328, 2155, 26, 34, 30, 19757, 32, 891, 711, 324, 2078, 32, 1689, 26, 7101, 26, 98, 490, 291, 1056, 280, 36261, 32, 17808, 26, 4850, 30, 2078, 30, 3051, 280, 3051, 27, 284, 813, 44, 291, 1056, 280, 36261, 32, 17808, 26, 4850, 30, 3051, 280, 3051, 293, 284, 1201, 1056, 610, 9750, 26, 4850, 32, 6557, 27, 284, 415, 19757, 32, 6557, 610, 3051, 44, 1459, 313, 2950, 3107, 284, 442, 203, 17808, 81, 858, 26, 17194, 32, 5860, 30, 629, 81, 7101, 30, 313, 4032, 7983, 392, 225, 34, 27, 203, 17808, 81, 858, 26, 17194, 32, 5860, 30, 629, 81, 7101, 30, 313, 4032, 7983, 392, 225, 35, 27, 203, 17808, 81, 858, 26, 17194, 32, 5860, 30, 41830, 81, 7101, 30, 313, 35164, 14471, 392, 225, 34, 27, 203, 17808, 81, 858, 26, 17194, 32, 5860, 30, 41830, 81, 7101, 30, 313, 35164, 14471, 392, 225, 35, 27, 203, 17808, 81, 858, 26, 17194, 32, 5860, 30, 802, 81, 7101, 30, 313, 8352, 392, 225, 34, 27, 203, 17808, 81, 858, 26, 17194, 32, 5860, 30, 802, 81, 7101, 30, 313, 8352, 392, 225, 35, 27, 203, 17808, 81, 858, 26, 17194, 32, 5860, 30, 802, 81, 668, 81, 7101, 30, 313, 668, 432, 5852, 392, 225, 34, 27, 203, 17808, 81, 858, 26, 17194, 32, 5860, 30, 802, 81, 668, 81, 7101, 30, 313, 668, 432, 5852, 392, 225, 35, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 4, 3, 4, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 5, 6, 4, 4, 3, 3, 3, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 9, 9, 2, 2, 3, 5, 6, 4, 4, 3, 3, 3, 6, 6, 8, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 9, 7, 5, 5, 9, 10, 9, 11, 11, 12, 11, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 3, 3, 4, 4, 4, 7, 7, 9, 10, 9, 10, 9, 9, 10, 10, 9, 2, 2, 3, 4, 4, 6, 8, 7, 8, 6, 2, 2, 3, 5, 6, 4, 4, 3, 3, 5, 7, 7, 2, 2, 0, 3, 3, 3, 3, 5, 4, 5, 3, 3, 4, 4, 3, 3, 5, 5, 5, 3, 4, 3, 0, 3, 3, 3, 3, 5, 4, 5, 3, 3, 4, 4, 3, 3, 5, 5, 5, 3, 4, 3, 0, 3, 3, 3, 3, 5, 4, 5, 3, 3, 4, 4, 3, 3, 5, 5, 5, 3, 4, 3, 0, 3, 3, 3, 3, 5, 4, 5, 3, 3, 4, 4, 3, 3, 5, 5, 5, 3, 4, 3, 0, 3, 3, 3, 3, 5, 4, 5, 3, 3, 4, 4, 3, 3, 5, 5, 3, 4, 3, 0, 3, 3, 3, 3, 5, 4, 5, 3, 3, 4, 4, 3, 3, 5, 5, 3, 4, 3, 0, 3, 3, 3, 3, 5, 4, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 3, 4, 3, 0, 3, 3, 3, 3, 5, 4, 5, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 3, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 2, 0, 4, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 0, 1, 2, 1, 4, 4, 3, 0, 2, 1, 1, 3, 3, 0, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 7, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 7, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 7, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 7, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 1, 1, 2, 1, 7, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 1, 1, 2, 1, 7, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 1, 7, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 1, 7, 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 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 13092, 203, 1070, 638, 13190, 1045, 21581, 2459, 1188, 18883, 1045, 21581, 2459, 30, 15454, 2526, 984, 30, 15819, 2526, 984, 203, 1070, 638, 2282, 1188, 11152, 81, 38068, 1237, 81, 612, 203, 589, 894, 81, 38068, 1786, 1473, 81, 38068, 1237, 81, 1356, 81, 18557, 26, 3613, 265, 30, 11152, 81, 19441, 81, 1647, 30, 816, 272, 1786, 711, 284, 47737, 32, 2675, 463, 19441, 32, 1647, 81, 2304, 32, 38068, 1786, 32, 21415, 81, 74, 718, 2554, 370, 537, 47, 2700, 27, 284, 623, 13092, 32, 16708, 26, 4976, 2526, 984, 27, 619, 13489, 81, 1338, 44, 291, 816, 272, 1786, 32, 74, 272, 2059, 959, 26, 9539, 81, 19441, 81, 1647, 27, 284, 1201, 13489, 81, 1338, 32, 853, 32, 5321, 710, 2076, 785, 610, 2884, 74, 272, 2554, 4865, 4253, 438, 2129, 436, 458, 2297, 19, 313, 3391, 313, 6574, 5822, 1593, 272, 2059, 8781, 461, 1933, 1593, 272, 2554, 32, 978, 372, 1370, 4865, 4755, 31, 5043, 32, 313, 3391, 313, 2140, 13907, 4169, 328, 2297, 4333, 436, 1829, 3099, 7144, 203, 589, 894, 81, 38068, 1786, 1473, 81, 38068, 1237, 81, 11879, 26, 3613, 81, 38068, 1237, 81, 11879, 30, 11152, 81, 19441, 81, 1647, 30, 816, 272, 1786, 711, 284, 623, 13092, 32, 16708, 26, 4976, 2526, 984, 27, 619, 13489, 81, 1338, 44, 291, 816, 272, 1786, 32, 74, 272, 2059, 959, 26, 9539, 81, 19441, 81, 1647, 27, 284, 1201, 13489, 81, 1338, 32, 853, 32, 5321, 710, 2076, 785, 610, 313, 74, 2554, 7893, 44, 904, 101, 20, 904, 4395, 81, 38068, 1237, 81, 11879, 77, 35, 79, 203, 589, 894, 81, 38068, 1786, 1473, 26, 3613, 265, 30, 11152, 81, 19441, 81, 1647, 30, 1593, 272, 2554, 30, 816, 272, 1786, 711, 284, 26966, 81, 38068, 1237, 280, 47737, 32, 2675, 32, 1473, 26, 74, 272, 2554, 32, 3135, 30, 330, 38068, 1237, 370, 1487, 47, 1815, 27, 284, 26966, 81, 3255, 280, 301, 291, 313, 5178, 32, 371, 81, 464, 32, 601, 81, 853, 563, 428, 9539, 81, 38068, 1237, 81, 612, 463, 5178, 36977, 291, 313, 5178, 32, 371, 81, 1536, 81, 6473, 32, 601, 81, 853, 563, 11152, 81, 38068, 1237, 81, 612, 463, 6473, 1425, 291, 313, 2848, 32, 371, 81, 578, 81, 2035, 32, 601, 81, 853, 563, 11152, 81, 38068, 1237, 81, 612, 463, 2035, 1425, 291, 313, 2035, 32, 371, 81, 12279, 81, 1648, 32, 601, 81, 853, 563, 3447, 2445, 81, 1648, 563, 313, 41, 32, 36, 32, 34, 3918, 284, 320, 284, 26966, 81, 38068, 1237, 32, 7799, 81, 3613, 14605, 42031, 81, 3255, 27, 284, 816, 762, 280, 816, 272, 1786, 32, 74, 272, 2059, 959, 26, 9539, 81, 19441, 81, 1647, 27, 284, 1201, 816, 762, 32, 5178, 81, 612, 610, 11152, 81, 38068, 1237, 81, 612, 463, 5178, 683, 284, 1201, 816, 762, 32, 38068, 1786, 81, 1648, 610, 428, 41, 30, 225, 36, 30, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 7, 5, 2, 2, 3, 8, 9, 8, 9, 9, 9, 8, 6, 6, 8, 8, 3, 3, 3, 8, 8, 7, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 8, 8, 7, 8, 6, 7, 5, 7, 7, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 8, 9, 8, 9, 9, 9, 8, 6, 6, 8, 8, 3, 3, 3, 8, 8, 7, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 8, 8, 7, 8, 6, 7, 5, 7, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 6, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 7, 8, 6, 6, 8, 8, 8, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 9, 9, 9, 9, 9, 9, 9, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 10, 10, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 10, 10, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 5, 5, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 5, 2, 2, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 3, 6, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 2, 2, 3, 6, 5, 6, 6, 6, 6, 4, 4, 6, 5, 5, 6, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 0, 2, 0, 2, 0, 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, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 2, 6, 6, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 5, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 2 ]
[ 465, 2322, 203, 465, 15798, 203, 465, 29590, 203, 1070, 485, 23215, 1356, 32, 1199, 1188, 3082, 3781, 203, 1070, 485, 23215, 1356, 32, 1199, 32, 858, 1188, 7116, 2797, 3954, 3211, 203, 1070, 485, 23215, 1356, 1188, 15570, 751, 203, 1070, 485, 23215, 1356, 32, 7621, 1188, 12606, 203, 1070, 485, 23215, 1356, 32, 89, 568, 11528, 1188, 570, 98, 1261, 203, 4073, 280, 15570, 751, 32, 371, 81, 1536, 81, 4073, 346, 203, 6813, 751, 32, 4898, 81, 10529, 81, 7490, 346, 203, 50, 5961, 2797, 3954, 3211, 346, 203, 823, 447, 89, 9770, 7233, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 276, 3097, 284, 665, 28921, 26, 784, 711, 291, 3097, 284, 665, 894, 2230, 3160, 2590, 44331, 26, 784, 711, 291, 4082, 32, 1338, 440, 858, 2230, 3160, 2590, 44331, 657, 291, 1984, 280, 3082, 3781, 32, 5141, 2413, 346, 291, 15570, 1199, 280, 570, 98, 1261, 32, 1664, 1792, 12783, 26, 965, 27, 291, 4082, 32, 1338, 440, 3192, 436, 2080, 6514, 2601, 44, 904, 101, 20, 904, 15570, 1199, 32, 2590, 32, 625, 27, 291, 4774, 280, 12606, 32, 2230, 3160, 2590, 44331, 32, 1696, 463, 858, 12606, 29590, 1491, 370, 6813, 1199, 32, 2590, 32, 625, 27, 20216, 308, 4658, 30, 17073, 30, 2901, 27750, 11096, 3515, 32, 371, 5472, 346, 291, 4082, 32, 1338, 440, 4658, 44, 6132, 101, 25979, 6132, 86, 5219, 27750, 31197, 101, 7362, 904, 308, 4658, 30, 17073, 30, 2901, 27750, 490, 423, 291, 630, 32, 6549, 26, 4658, 27, 291, 630, 32, 6549, 26, 17073, 848, 225, 34, 27, 291, 630, 32, 4983, 26, 2901, 27750, 30, 6813, 1199, 32, 2590, 32, 2901, 27750, 27, 291, 15570, 1199, 32, 2590, 32, 625, 47, 38, 34, 34, 34, 291, 4082, 32, 1338, 440, 3192, 436, 323, 817, 352, 6514, 2601, 44, 904, 101, 20, 904, 15570, 1199, 32, 2590, 32, 625, 27, 20216, 4774, 280, 12606, 32, 2230, 3160, 2590, 44331, 32, 1696, 463, 858, 12606, 29590, 1491, 370, 6813, 1199, 32, 2590, 32, 625, 27, 20216, 308, 4658, 30, 17073, 30, 2901, 27750, 11096, 3515, 32, 371, 5472, 346, 291, 4082, 32, 1338, 440, 4658, 44, 6132, 101, 25979, 6132, 86, 5219, 27750, 31197, 101, 7362, 904, 308, 4658, 30, 17073, 30, 2901, 27750, 490, 20216, 630, 32, 14846, 26, 4658, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 3701, 15798, 32, 1831, 346, 262, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 5, 4, 5, 5, 5, 5, 5, 4, 0, 4, 4, 3, 4, 4, 4, 4, 4, 3, 0, 2, 4, 4, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 5, 4, 5, 3, 2, 2, 4, 5, 6, 5, 4, 4, 3, 3, 4, 5, 6, 5, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 5, 5, 7, 7, 10, 9, 10, 10, 9, 5, 5, 8, 7, 7, 10, 10, 9, 10, 10, 10, 9, 10, 9, 5, 5, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 12, 11, 12, 10, 11, 8, 5, 5, 7, 7, 10, 11, 11, 11, 11, 9, 10, 9, 11, 11, 11, 11, 11, 12, 12, 11, 12, 10, 11, 9, 5, 5, 9, 8, 9, 8, 9, 9, 8, 10, 9, 10, 10, 9, 5, 5, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 10, 11, 10, 11, 11, 10, 5, 5, 5, 8, 9, 8, 9, 8, 5, 5, 8, 9, 8, 10, 9, 9, 10, 8, 5, 5, 8, 9, 8, 9, 9, 8, 11, 11, 10, 11, 9, 10, 10, 8, 5, 5, 10, 9, 10, 8, 9, 7, 8, 8, 8, 8, 5, 5, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 12, 11, 12, 10, 11, 8, 5, 5, 7, 7, 10, 11, 11, 11, 11, 9, 10, 9, 11, 11, 11, 11, 11, 12, 12, 11, 12, 10, 11, 9, 5, 5, 9, 8, 9, 8, 9, 9, 8, 10, 9, 10, 10, 9, 5, 5, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 10, 11, 10, 11, 11, 10, 5, 5, 8, 9, 8, 9, 8, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 7, 7, 0, 0, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 10, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 3, 2, 1, 4, 4, 1, 0, 3, 0, 5, 5, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 5, 5, 2, 4, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 3, 2, 2, 1, 4, 4, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 3, 2, 1, 4, 4, 1, 0, 3, 0, 5, 5, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 5, 5, 2, 4, 4, 0, 2, 1, 1, 1, 0, 11, 11, 0, 0, 1, 1, 1, 1, 11, 11, 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 ]
[ 465, 316, 203, 465, 22045, 203, 1070, 5780, 2825, 1188, 5780, 2825, 203, 823, 20019, 11833, 1969, 2825, 26, 4424, 2825, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1056, 81, 668, 711, 291, 5780, 2825, 3667, 1664, 3207, 784, 27, 291, 630, 32, 1267, 81, 668, 280, 1056, 81, 668, 291, 630, 32, 6928, 81, 16671, 280, 316, 32, 6993, 463, 80, 525, 555, 1499, 77, 29336, 3166, 1125, 77, 29336, 508, 33, 5224, 33, 5159, 31, 1286, 33, 11255, 33, 36, 34, 77, 34, 31, 43, 8274, 36, 3188, 77, 34, 35, 1674, 34, 31, 43, 79, 4724, 29, 77, 22591, 3072, 110, 10561, 9501, 683, 284, 665, 2887, 81, 1366, 2142, 26, 784, 30, 2604, 30, 11758, 711, 291, 415, 2604, 610, 330, 83, 950, 324, 415, 630, 32, 4635, 81, 83, 81, 2142, 26, 10407, 711, 400, 436, 5601, 81, 426, 30, 5601, 81, 853, 328, 11758, 44, 528, 415, 5601, 81, 426, 610, 330, 6928, 950, 715, 630, 32, 1267, 81, 668, 32, 1689, 26, 2437, 81, 853, 27, 284, 665, 6042, 81, 83, 81, 2142, 26, 784, 30, 11758, 711, 291, 976, 81, 1253, 280, 3177, 291, 1875, 81, 1253, 280, 3177, 291, 436, 3879, 81, 426, 30, 786, 328, 11758, 44, 324, 415, 3879, 81, 426, 610, 330, 6928, 950, 400, 415, 630, 32, 6928, 81, 16671, 32, 2872, 26, 853, 711, 528, 976, 81, 1253, 280, 2933, 324, 4348, 3879, 81, 426, 610, 330, 2808, 950, 400, 442, 3177, 324, 813, 44, 400, 442, 3177, 291, 442, 976, 81, 1253, 203, 823, 20019, 6280, 1969, 2825, 26, 4424, 2825, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1056, 81, 668, 711, 291, 5780, 2825, 3667, 1664, 3207, 784, 27, 291, 630, 32, 1267, 81, 668, 280, 1056, 81, 668, 291, 630, 32, 6928, 81, 16671, 280, 316, 32, 6993, 463, 80, 525, 555, 1499, 77, 29336, 3166, 1125, 77, 29336, 508, 13824, 5224, 4242, 48113, 49, 79, 13382, 81, 314, 6020, 34, 31, 43, 6155, 22, 683, 291, 630, 32, 2808, 81, 16671, 280, 316, 32, 6993, 463, 80, 13382, 15396, 31, 3131, 25743, 34, 31, 43, 6155, 22, 683, 284, 665, 2887, 81, 1366, 2142, 26, 784, 30, 2604, 30, 11758, 711, 291, 415, 2604, 610, 330, 83, 950, 324, 415, 630, 32, 4635, 81, 83, 81, 2142, 26, 10407, 711, 400, 436, 5601, 81, 426, 30, 5601, 81, 853, 328, 11758, 44, 528, 415, 5601, 81, 426, 610, 330, 6928, 950, 715, 630, 32, 1267, 81, 668, 32, 1689, 26, 2437, 81, 853, 27, 284, 665, 6042, 81, 83, 81, 2142, 26, 784, 30, 11758, 711, 291, 976, 81, 1253, 280, 3177, 291, 1875, 81, 1253, 280, 3177, 291, 436, 3879, 81, 426, 30, 786, 328, 11758, 44, 324, 415, 3879, 81, 426, 610, 330, 6928, 950, 400, 415, 630, 32, 6928, 81, 16671, 32, 2872, 26, 853, 711, 528, 976, 81, 1253, 280, 2933, 324, 4348, 3879, 81, 426, 610, 330, 2808, 950, 400, 415, 630, 32, 2808, 81, 16671, 32, 2872, 26, 853, 711, 528, 1875, 81, 1253, 280, 2933 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 8, 8, 5, 5, 7, 9, 10, 10, 10, 10, 10, 9, 10, 9, 7, 7, 9, 11, 11, 10, 10, 11, 11, 9, 9, 9, 9, 9, 11, 13, 13, 12, 12, 14, 14, 11, 11, 16, 17, 17, 17, 15, 16, 15, 16, 16, 16, 15, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 5, 5, 7, 9, 9, 8, 8, 10, 10, 7, 7, 9, 12, 13, 13, 13, 11, 12, 11, 12, 11, 9, 9, 13, 13, 12, 12, 7, 7, 8, 10, 10, 9, 9, 11, 11, 8, 8, 10, 7, 7, 8, 8, 8, 10, 4, 4, 5, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 8, 8, 5, 5, 7, 9, 10, 10, 10, 10, 10, 9, 10, 9, 7, 7, 9, 11, 11, 10, 10, 11, 11, 9, 9, 9, 9, 9, 11, 13, 13, 12, 12, 14, 14, 11, 11, 16, 17, 17, 17, 15, 16, 15, 16, 16, 16, 15, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 5, 5, 7, 9, 9, 8, 8, 10, 10, 7, 7, 9, 12, 13, 13, 13, 11, 12, 11, 12, 11, 9, 9, 13, 13, 12, 12, 7, 7, 8, 10, 10, 9, 9, 11, 11, 8, 8, 10, 13, 14, 14, 14, 12, 13, 12, 13, 12, 10, 10, 14, 14, 13, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 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, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 5, 5, 5, 0, 4, 4, 3, 1, 1, 0, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 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, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ 589, 894, 2262, 284, 665, 4479, 26, 96, 711, 291, 436, 816, 328, 35198, 26, 96, 711, 324, 6761, 596, 26, 106, 27, 284, 665, 296, 81, 35, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 36, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 37, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 38, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 39, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 40, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 41, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 42, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 43, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 35, 34, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 35, 35, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 35, 36, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 35, 37, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 35, 38, 26, 4895, 711, 291, 442, 9877, 284, 665, 296, 81, 35, 39, 26, 4895, 711, 291, 442, 9877, 284, 442, 428, 291, 35617, 2524, 26, 2518, 26, 35, 34, 3662, 291, 296, 81, 35, 12477, 5691, 42004, 347, 7700, 827, 330, 668, 77, 410, 16249, 5424, 11477, 7101, 77, 466, 18262, 4174, 413, 2518, 26, 35, 35, 2874, 5691, 28995, 291, 296, 81, 36, 12477, 5691, 42004, 347, 7700, 827, 330, 5897, 77, 410, 16249, 5424, 11477, 7101, 77, 466, 18262, 4174, 413, 2518, 26, 35, 35, 2874, 5691, 28995, 291, 296, 81, 37, 12477, 5691, 42004, 347, 7700, 827, 330, 2879, 77, 410, 16249, 5424, 11477, 7101, 77, 466, 18262, 4174, 413, 2518, 26, 35, 35, 2874, 5691, 28995, 291, 296, 81, 38, 12477, 5691, 42004, 347, 7700, 827, 330, 5731, 77, 410, 16249, 5424, 11477, 7101, 77, 466, 18262, 4174, 413, 2518, 26, 35, 35, 2874, 5691, 28995, 291, 296, 81, 39, 12477, 5691, 42004, 347, 7700, 827, 330, 17325, 77, 410, 16249, 5424, 11477, 7101, 77, 466, 18262, 4174, 413, 2518, 26, 35, 35, 2874, 5691, 28995, 291, 296, 81, 40, 12477, 5691, 42004, 347, 7700, 827, 330, 668, 370, 5424, 11477, 7101, 77, 466, 18262, 4174, 413, 2518, 26, 35, 35, 2874, 5691, 28995, 291, 296, 81, 41, 12477, 5691, 42004, 347, 7700, 827, 330, 5897, 370, 5424, 11477, 7101, 77, 466, 18262, 4174, 413, 2518, 26, 35, 35, 2874, 5691, 28995, 291, 296, 81, 42, 12477, 5691, 42004, 347, 7700, 827, 330, 2879, 370, 5424, 11477, 7101, 77, 466, 18262, 4174, 413, 2518, 26, 35, 35, 2874, 5691, 28995, 291, 296, 81, 43, 26, 2518, 26, 35, 35, 3662, 291, 296, 81, 35, 34, 26, 2518, 26, 35, 35, 3662, 291, 296, 81, 35, 35, 12477, 5691, 42004, 347, 7700, 827, 330, 668, 77, 14185, 77, 466, 30, 15390, 3212, 370, 5424, 11477, 7101, 77, 466, 18262, 4174, 413, 2518, 26, 35, 35, 2874, 5691, 28995, 291, 296, 81, 35, 36, 12477, 5691, 42004, 347, 7700, 827, 330, 5897, 77, 14185 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 4, 5, 4, 3, 3, 5, 5, 5, 7, 8, 7, 5, 5, 8, 10, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 7, 6, 8, 8, 9, 9, 8, 4, 4, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 4, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 4, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 4, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 4, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 4, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 4, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 4, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 4, 6, 6, 6, 8, 8, 9, 9, 8, 4, 4, 6, 6, 6, 6, 8, 8, 9, 9, 8, 4, 4, 6, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 6, 5, 4, 4, 6, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 4, 4, 9, 1, 1, 2, 1, 2, 9, 9, 0, 4, 4, 10, 1, 1, 1, 2, 1, 2, 10, 10, 0, 4, 4, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 4, 4, 12, 1, 1, 1, 2, 1, 2, 12, 12, 0, 4, 4, 13, 1, 1, 1, 2, 1, 2, 13, 13, 0, 4, 4, 14, 1, 1, 1, 2, 1, 2, 14, 14, 0, 4, 4, 15, 1, 1, 1, 2, 1, 2, 15, 15, 0, 4, 4, 16, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 9, 4, 1, 1, 0, 0, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 9, 7, 1, 1, 0, 0, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 9, 10, 1, 1, 0, 0, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 9, 13, 1, 1, 0, 0, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 9, 16, 1, 1, 0, 0, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 9, 19, 1, 1, 0, 0, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 9, 22, 1, 1, 0, 0, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 9, 25, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 9, 32, 1, 1, 0, 0, 0, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1 ]
[ 465, 5021, 203, 1070, 2322, 1188, 10895, 81, 998, 30, 16277, 30, 2299, 10734, 203, 1070, 5237, 1188, 5202, 203, 1070, 638, 725, 1188, 1487, 81, 725, 203, 50, 2942, 32, 1363, 346, 203, 589, 9195, 2262, 284, 3097, 203, 50, 4538, 32, 2501, 346, 203, 589, 1420, 81, 17380, 25673, 2262, 284, 16277, 710, 71, 3951, 14819, 81, 6430, 26002, 81, 47406, 785, 280, 330, 35, 25, 284, 16277, 710, 71, 3951, 14819, 81, 5068, 81, 14247, 785, 280, 330, 40, 34, 25, 284, 16277, 710, 71, 3951, 14819, 81, 8703, 9135, 785, 280, 17246, 2473, 1643, 26, 6281, 81, 998, 1157, 284, 16277, 710, 71, 3951, 14819, 81, 32552, 785, 280, 330, 35, 25, 284, 16277, 710, 71, 3951, 14819, 81, 9856, 785, 280, 330, 34513, 1237, 32, 46674, 44, 725, 25, 284, 16277, 710, 71, 3951, 14819, 81, 5068, 785, 280, 14589, 42, 34, 42, 35, 25, 284, 16277, 710, 71, 3951, 14819, 81, 72, 1186, 71, 2347, 785, 280, 330, 35, 25, 284, 16277, 710, 71, 3951, 14819, 81, 5177, 8439, 785, 280, 5202, 284, 16277, 710, 71, 3951, 14819, 81, 8451, 81, 3364, 785, 280, 330, 42, 35, 43, 36, 25, 284, 16277, 710, 71, 3951, 14819, 81, 25009, 785, 280, 330, 35, 25, 284, 16277, 710, 71, 3951, 14819, 81, 33118, 785, 280, 25366, 33, 7075, 2800, 366, 751, 6078, 284, 16277, 710, 71, 3951, 14819, 81, 5068, 81, 39718, 726, 5751, 785, 280, 330, 35, 25, 284, 16277, 710, 71, 3951, 14819, 81, 1781, 26747, 81, 5357, 785, 280, 330, 35, 25, 284, 16277, 710, 71, 3951, 14819, 81, 15610, 81, 3602, 32384, 785, 280, 330, 35, 25, 284, 16277, 710, 71, 3951, 14819, 81, 42362, 81, 6870, 785, 280, 330, 35, 25, 284, 2299, 10734, 463, 17380, 25673, 370, 2726, 17380, 25673, 370, 490, 203, 50, 4538, 32, 2501, 346, 203, 50, 2942, 32, 1762, 12605, 90, 370, 11363, 2035, 370, 330, 2035, 370, 1244, 1057, 5007, 683, 203, 589, 1420, 81, 1786, 26, 2035, 711, 284, 1123, 280, 1487, 81, 725, 346, 284, 1123, 32, 1945, 26, 2811, 47, 1815, 30, 3408, 47, 2035, 30, 2601, 47, 42, 34, 42, 34, 30, 361, 20469, 47, 2700, 30, 13185, 47, 35, 30, 793, 81, 268, 4554, 47, 2700, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 9195, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 2, 5, 4, 5, 4, 1, 2, 2, 3, 2, 2, 0, 2, 5, 4, 5, 4, 1, 2, 2, 3, 3, 3, 3, 2, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 9, 8, 7, 9, 9, 9, 9, 3, 3, 6, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 7, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 7, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 7, 7, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 3, 3, 6, 6, 8, 8, 8, 6, 9, 9, 9, 7, 0, 2, 5, 4, 5, 4, 1, 2, 5, 4, 5, 4, 6, 6, 4, 6, 6, 4, 6, 6, 4, 5, 7, 7, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 5, 5, 7, 7, 7, 3, 3, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 8, 8, 8, 6, 6, 8, 7, 8, 6, 6, 7, 8, 6, 6, 8, 8, 8, 7, 8, 6, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 4, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 4, 4, 0, 1, 1, 1, 2, 1, 1, 1, 2, 3, 0, 0, 0, 0, 2, 1, 6, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 7, 1, 2, 6, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 2, 2, 2, 1, 1, 0, 7, 2, 1, 1, 9, 2, 1, 1, 0, 0, 0, 11, 2, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 1344, 4071, 203, 465, 617, 9497, 81, 6482, 2850, 203, 1070, 617, 9497, 81, 6482, 1188, 18323, 43189, 203, 1070, 617, 9497, 81, 6482, 1188, 23115, 81, 8467, 30, 23115, 81, 41143, 30, 23115, 81, 22453, 203, 1070, 617, 9497, 81, 6482, 1188, 32899, 4050, 81, 10079, 104, 36, 30, 32899, 4050, 81, 10079, 104, 37, 30, 32899, 4050, 81, 10079, 104, 36, 37, 30, 32899, 4050, 81, 15174, 104, 35, 203, 1070, 617, 9497, 81, 6482, 1188, 358, 2508, 81, 14905, 81, 6664, 30, 358, 2508, 81, 14905, 81, 10923, 30, 358, 2508, 81, 14905, 81, 8094, 30, 358, 2508, 81, 14905, 81, 44975, 203, 1070, 617, 9497, 81, 6482, 1188, 559, 3349, 81, 1517, 30, 559, 3349, 81, 4192, 86, 30, 559, 3349, 81, 669, 203, 1070, 617, 9497, 81, 6482, 1188, 766, 275, 14156, 81, 2930, 81, 13977, 81, 10934, 30, 766, 275, 14156, 81, 2930, 81, 73, 4516, 81, 4409, 30, 766, 275, 14156, 81, 2930, 81, 73, 4516, 81, 3214, 30, 766, 275, 14156, 81, 2930, 81, 73, 4516, 81, 74, 39, 34, 43, 81, 38652, 2418, 30, 766, 275, 14156, 81, 2930, 81, 35695, 30, 766, 275, 14156, 81, 2930, 81, 10079, 30, 766, 275, 14156, 81, 2930, 81, 73, 4516, 81, 16134, 30, 766, 275, 14156, 81, 2930, 81, 9471, 30, 766, 275, 14156, 81, 2930, 81, 8606, 81, 2930, 81, 3521, 203, 1070, 6234, 1188, 6234, 30, 617, 761, 1473, 30, 617, 14388, 81, 9147, 203, 1070, 6234, 1188, 1048, 619, 6234, 81, 731, 203, 1070, 6234, 1188, 622, 426, 1338, 619, 617, 371, 426, 1338, 203, 465, 1695, 40, 38, 263, 203, 465, 19493, 203, 823, 14156, 5264, 26, 4817, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 81, 4817, 30, 13363, 30, 1202, 761, 47, 2521, 30, 6445, 761, 47, 2521, 30, 353, 2145, 81, 2671, 47, 2700, 30, 6445, 81, 47297, 47, 21729, 81, 8467, 30, 353, 17778, 81, 1648, 47, 20474, 81, 10079, 104, 36, 37, 30, 353, 13597, 81, 2613, 81, 2816, 47, 9312, 81, 14905, 81, 8094, 30, 353, 13597, 81, 314, 81, 2095, 47, 2521, 30, 353, 7450, 81, 23545, 47, 2521, 30, 353, 745, 81, 40110, 81, 267, 81, 3517, 47, 1815, 30, 353, 28182, 81, 2453, 3886, 81, 87, 17891, 47, 1815, 711, 291, 6234, 3667, 1664, 3207, 784, 30, 617, 9184, 47, 9184, 1114, 9184, 27, 291, 436, 5601, 328, 617, 14388, 81, 9147, 44, 324, 1596, 44, 400, 3555, 2437, 26, 784, 30, 5601, 27, 324, 2940, 29316, 44, 400, 3097, 291, 415, 6445, 761, 461, 646, 1202, 761, 44, 324, 1202, 761, 280, 6445, 761, 291, 1487, 280, 2933, 291, 9475, 280, 3177, 291, 415, 646, 2145, 81, 2671, 44, 324, 1596, 44, 400, 6234, 32, 371, 10356, 426, 26, 784, 27, 400, 9475, 280, 2933, 324, 2940, 6234, 81, 731, 30, 484, 44, 400, 415, 484, 32, 12864, 863, 19493, 32, 718, 1194, 29302, 44, 528, 3636, 400, 630, 1114, 422, 1145, 92, 280, 1665, 400, 1487, 280, 3177, 291, 415, 1487, 44, 324, 415, 2935, 81, 4817, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 3, 0, 0, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 7, 7, 9, 8, 10, 9, 10, 7, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 11, 11, 12, 11, 11, 11, 7, 7, 8, 8, 8, 8, 4, 4, 5, 7, 6, 6, 7, 8, 5, 5, 5, 9, 8, 8, 9, 4, 4, 6, 6, 4, 4, 6, 6, 4, 4, 5, 6, 7, 7, 5, 5, 5, 7, 7, 7, 11, 12, 12, 12, 11, 12, 11, 8, 8, 10, 10, 7, 7, 8, 9, 9, 8, 8, 8, 8, 8, 10, 12, 13, 11, 11, 12, 13, 13, 13, 10, 10, 10, 9, 9, 12, 13, 13, 13, 11, 11, 9, 9, 11, 11, 4, 4, 5, 5, 5, 5, 7, 9, 9, 8 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 3, 7, 0, 0, 0, 0, 0, 0, 7, 7, 6, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 9, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 12, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 15, 7, 0, 0, 0, 0, 7, 7, 18, 7, 0, 0, 0, 0, 7, 7, 21, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 24, 7, 0, 0, 0, 0, 7, 7, 27, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 9, 9, 9, 9, 3, 3, 2, 2, 0, 10, 10, 10, 10, 0, 0, 3, 3, 2, 2, 2, 0, 11, 11, 0, 0, 0, 0, 12, 12, 0, 13, 13, 1, 2, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 0, 7, 2, 2, 2, 0, 9, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 2, 2, 2, 0, 0, 15, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 17, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 19, 2, 2, 2, 2, 0, 0, 21, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 23, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 25, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 3, 0, 2, 2, 1, 4, 4, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 4, 4, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 5, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 3, 1, 1, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 5, 5, 0, 2, 2, 2, 0, 0, 5, 5, 0, 0, 4, 4, 6, 6, 6, 6, 0, 0, 0, 1 ]
[ 1070, 3312, 32, 2243, 1188, 15798, 203, 1070, 3312, 32, 2243, 1188, 9045, 3660, 1183, 7233, 203, 1070, 36387, 32, 27078, 1188, 33545, 2798, 30, 7136, 1599, 203, 823, 2108, 8591, 3572, 10138, 26, 10645, 3660, 1183, 7233, 711, 284, 3387, 81, 823, 280, 33545, 2798, 284, 665, 1244, 81, 1548, 26, 784, 711, 291, 442, 323, 2993, 324, 333, 8591, 3572, 10138, 1397, 12048, 347, 525, 555, 735, 36, 32, 13808, 32, 508, 33, 1427, 33, 36, 34, 35, 37, 31, 35, 34, 31, 34, 35, 9076, 3083, 333, 34584, 48, 40, 88, 39, 41, 34, 84, 34, 84, 31, 43, 85, 35, 42, 31, 38, 84, 34, 41, 31, 84, 6114, 31, 41, 37, 41, 38, 34, 40256, 42, 40, 35, 83, 377, 34584, 48, 3083, 333, 4351, 1599, 885, 48, 1750, 333, 1094, 48, 3486, 333, 4351, 1599, 606, 48, 2051, 84, 31, 35, 37, 339, 38, 42, 41, 83, 377, 4351, 1599, 606, 48, 3486, 333, 27078, 606, 48, 27078, 31, 35, 35, 339, 38, 42, 41, 42, 377, 27078, 606, 48, 3486, 333, 4351, 885, 48, 715, 333, 1094, 48, 6029, 333, 9749, 33727, 100, 2227, 48, 35, 34, 32, 34, 32, 34, 32, 34, 33, 36, 36, 377, 9749, 33727, 100, 2227, 48, 6029, 333, 10419, 606, 48, 1696, 377, 10419, 606, 48, 6029, 333, 1293, 48, 2480, 377, 1293, 48, 6029, 333, 6946, 48, 1922, 3572, 1599, 377, 6946, 48, 715, 576, 1094, 48, 3486, 576, 4351, 885, 48, 3486, 333, 25199, 885, 48, 656, 333, 1094, 48, 1014, 333, 4351, 1599, 15374, 606, 48, 2051, 84, 18536, 31, 35, 36, 339, 38, 42, 41, 84, 377, 4351, 1599, 15374, 606, 48, 1014, 333, 4351, 1599, 606, 48, 2051, 84, 31, 35, 37, 339, 38, 42, 41, 83, 377, 4351, 1599, 606, 48, 1014, 333, 1831, 48, 1508, 377, 1831, 48, 656, 576, 1094, 48, 3486, 576, 25199, 885, 48, 528, 333, 2142, 885, 2039, 1750, 576, 1094, 48, 1750, 333, 1094, 48, 3486, 333, 4351, 1599, 606, 48, 2051, 84, 31, 88, 43, 339, 38, 42, 43, 34, 377, 4351, 1599, 606, 48, 3486, 333, 27078, 606, 48, 27078, 31, 35, 35, 339, 38, 42, 41, 42, 377, 27078, 606, 48, 3486, 333, 4351, 885, 48, 715, 333, 1094, 48, 6029, 333, 9749, 33727, 100, 2227, 48, 35, 34, 32, 34, 32, 34, 32, 34, 33, 36, 36, 377, 9749, 33727, 100, 2227, 48, 6029, 333, 10419, 606, 48, 1696, 377, 10419, 606, 48, 6029, 333, 1293, 48, 2480, 377, 1293, 48, 6029, 333, 6946, 48, 1922, 3572, 1599, 377, 6946, 48, 715, 576, 1094, 48, 715, 333, 1094, 48, 6029, 333, 9749, 33727, 100, 2227, 48, 34, 32, 34, 32, 34, 32, 34, 33, 34, 377, 9749, 33727, 100, 2227, 48, 6029, 333, 10419, 606, 48, 365, 105, 31, 4532, 339, 38, 42, 42, 37, 377, 10419, 606, 48, 6029, 333, 1293, 48, 2480, 377, 1293, 48, 715, 576, 1094, 48, 715, 333, 1094, 48, 1014, 333, 9749, 33727, 100, 2227, 48, 35, 34, 32, 34, 32, 34, 32, 34, 33, 36, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16672, 203, 1270, 44, 284, 1188, 4281, 1260, 619, 2361, 203, 7343, 29986, 44, 284, 1188, 2361, 203, 465, 2322, 203, 465, 5237, 203, 465, 6234, 203, 465, 23983, 203, 1070, 22045, 32, 731, 1188, 28024, 43189, 203, 465, 312, 1306, 81, 2304, 203, 1070, 312, 1306, 81, 2304, 32, 51, 1306, 20521, 4014, 1188, 1532, 100, 30, 1459, 81, 1253, 30, 1459, 81, 8447, 30, 1459, 81, 530, 203, 1070, 3082, 81, 32282, 1188, 457, 81, 14107, 203, 1199, 81, 1274, 81, 2285, 280, 1524, 82, 314, 82, 14035, 2370, 1181, 11190, 5578, 9832, 10424, 30, 529, 2135, 81, 1877, 82, 14035, 2370, 1181, 30, 529, 1366, 81, 1003, 82, 13773, 2370, 1181, 30, 203, 82, 9791, 108, 4501, 81, 6320, 82, 14035, 2370, 1181, 30, 529, 34180, 81, 5087, 82, 14035, 2370, 1181, 30, 529, 2493, 101, 81, 5087, 82, 14035, 2370, 1181, 30, 203, 82, 2493, 101, 81, 462, 81, 4215, 82, 22757, 2370, 1181, 30, 529, 8478, 81, 2999, 82, 14035, 2370, 1181, 30, 529, 8478, 81, 14243, 12837, 82, 14035, 2370, 1181, 30, 203, 82, 8478, 81, 6264, 82, 14035, 2370, 1181, 30, 529, 8478, 81, 37855, 82, 14035, 2370, 1181, 30, 529, 1449, 81, 6299, 82, 14035, 2370, 1181, 30, 203, 82, 1537, 81, 983, 82, 14035, 2370, 1181, 30, 529, 9671, 81, 14243, 101, 82, 14035, 2370, 1181, 30, 529, 9671, 81, 2999, 82, 14035, 2370, 1181, 30, 203, 82, 4502, 81, 8478, 82, 14035, 2370, 1181, 30, 529, 270, 3452, 82, 22757, 30, 529, 16121, 81, 4126, 89, 82, 22757, 2370, 1181, 30, 203, 82, 5665, 81, 2446, 16670, 82, 14035, 2370, 1181, 30, 529, 5665, 81, 16045, 101, 82, 14035, 2370, 1181, 30, 529, 2135, 81, 983, 82, 14035, 2370, 1181, 30, 203, 82, 2135, 81, 28271, 82, 14035, 2370, 1181, 30, 529, 2135, 81, 16045, 82, 14035, 2370, 1181, 30, 529, 2493, 101, 81, 8119, 81, 28271, 82, 14035, 2370, 1181, 30, 203, 82, 2493, 81, 5457, 82, 14035, 2370, 1181, 30, 529, 83, 1306, 81, 12006, 82, 14057, 26, 36, 34, 34, 27, 2370, 1181, 30, 529, 83, 1306, 81, 1648, 82, 14057, 26, 35, 34, 27, 2370, 1181, 30, 203, 82, 2501, 81, 928, 82, 14057, 26, 35, 34, 34, 34, 27, 2993, 203, 589, 2519, 81, 1338, 2262, 284, 1459, 26, 20605, 32, 12721, 51, 474, 313, 83, 1306, 31, 5136, 313, 474, 1532, 100, 32, 52, 4715, 474, 5461, 101, 20, 904, 312, 1306, 81, 2304, 3667, 1648, 505, 474, 1532, 100, 32, 9551, 474, 313, 810, 904, 101, 20, 904, 312, 1306, 81, 2304, 3667, 2116, 8223, 284, 1459, 440, 4863, 8616, 432, 312, 1306, 31, 24780, 13179, 372, 18633, 7144, 284, 1459, 17987, 203, 589, 1491, 81, 1163, 26, 1163, 81, 761, 711, 284, 1359, 81, 761, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 8931, 496, 26, 1163, 81, 761, 490, 284, 415, 646, 2322, 32, 983, 32, 29712, 26, 1163, 81, 761, 711, 291, 1459, 81, 530, 440, 1063, 803, 646, 2431, 15981, 291, 5237, 32, 4775, 26, 35, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 5, 12, 11, 12, 12, 10, 10, 12, 12, 12, 12, 12, 9, 9, 11, 10, 11, 11, 8, 8, 11, 11, 9, 9, 11, 11, 11, 10, 11, 11, 7, 7, 9, 8, 9, 6, 6, 9, 9, 9, 9, 7, 7, 9, 9, 9, 8, 9, 9, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 9, 8, 9, 9, 9, 8, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 3, 3, 7, 7, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 8, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 3, 3, 3, 3, 3, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 0, 0, 0, 0, 8, 8, 0, 0, 0, 1, 2, 2, 2, 2, 8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 0, 0, 9, 9, 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, 2, 0, 11, 11, 1, 1, 2, 11, 11, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 12, 12, 1, 1, 2, 1, 1, 1, 2, 12, 12, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1 ]
[ 1070, 638, 1188, 12741, 203, 1070, 638, 1567, 1977, 1188, 3903, 2922, 203, 823, 7264, 44, 284, 665, 1156, 1664, 3207, 784, 30, 15547, 1057, 5769, 2384, 47, 34, 30, 636, 47, 2521, 30, 6339, 47, 2521, 30, 5736, 47, 2521, 711, 291, 415, 6339, 438, 1665, 44, 324, 6339, 280, 2149, 291, 415, 5736, 438, 1665, 44, 324, 5736, 280, 739, 346, 291, 630, 32, 14000, 280, 15547, 4456, 630, 32, 2273, 280, 2384, 4456, 630, 32, 426, 280, 636, 415, 636, 813, 15547, 4456, 630, 32, 3527, 280, 6339, 291, 630, 32, 22014, 280, 3903, 2922, 346, 291, 630, 32, 4545, 280, 739, 26, 4545, 27, 291, 630, 32, 1749, 280, 1665, 291, 630, 32, 5978, 750, 280, 1665, 291, 436, 2577, 328, 630, 32, 3527, 32, 2810, 2262, 324, 2577, 32, 9959, 26, 784, 27, 284, 665, 8520, 26, 784, 30, 8355, 750, 30, 24070, 47, 2700, 30, 26189, 47, 2521, 711, 291, 630, 32, 5978, 750, 280, 8355, 750, 291, 415, 24070, 44, 324, 8355, 750, 32, 32650, 959, 26, 784, 27, 324, 630, 1114, 32650, 346, 291, 415, 26189, 438, 1665, 44, 324, 26189, 280, 8355, 750, 32, 371, 12956, 346, 291, 630, 32, 7489, 440, 5978, 2524, 392, 8355, 750, 30, 26189, 27, 284, 665, 1401, 1722, 26, 784, 30, 636, 711, 291, 442, 636, 328, 630, 32, 3527, 284, 665, 622, 1722, 26, 784, 30, 636, 711, 291, 442, 630, 32, 3527, 32, 371, 26, 426, 30, 1665, 27, 284, 665, 3668, 26, 784, 30, 16398, 711, 291, 415, 630, 32, 1749, 44, 324, 630, 32, 1749, 32, 2546, 3273, 26, 784, 27, 291, 630, 32, 1749, 280, 16398, 291, 16398, 32, 669, 3273, 26, 784, 27, 284, 665, 3345, 26, 784, 711, 291, 415, 630, 32, 1749, 44, 324, 630, 32, 1749, 32, 2546, 3273, 26, 784, 27, 324, 630, 32, 1749, 280, 1665, 291, 415, 630, 32, 297, 2626, 4106, 2262, 324, 630, 32, 5978, 750, 32, 2546, 2626, 4106, 26, 784, 27, 291, 436, 2577, 328, 630, 32, 3527, 32, 2810, 2262, 324, 2577, 32, 2546, 346, 291, 630, 32, 7489, 440, 2546, 657, 291, 630, 32, 5978, 750, 280, 1665, 284, 665, 1015, 2221, 26, 784, 30, 1692, 30, 3309, 30, 1202, 47, 2521, 711, 291, 630, 32, 22014, 32, 24347, 26, 1567, 30, 3309, 30, 1202, 27, 284, 665, 3345, 2221, 26, 784, 30, 1692, 30, 1202, 711, 291, 630, 32, 22014, 32, 2546, 2221, 26, 1567, 30, 1202, 27, 284, 665, 6595, 26, 784, 30, 1692, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 22014, 32, 7489, 26, 1567, 30, 630, 30, 319, 1132, 30, 1115, 5321, 27, 284, 665, 622, 10792, 26, 784, 711, 291, 442, 630, 32, 14000, 284, 665, 16407, 26, 784, 711, 291, 442, 630, 32, 426, 284, 665, 622, 3024, 26, 784, 711, 291, 442, 630, 32, 2273, 284, 665, 328, 8421, 26, 784, 711, 291, 442, 630, 32, 1749, 438, 646, 1665, 284, 665, 622, 20666, 26, 784, 711, 291, 442, 630, 32, 1749, 284, 665, 622, 26043, 6692, 26, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 5, 5, 5, 8, 9, 7, 8, 7, 5, 5, 9, 10, 9, 10, 9, 2, 2, 3, 4, 5, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 5, 5, 5, 5, 10, 9, 10, 10, 9, 10, 9, 6, 6, 9, 10, 9, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 11, 10, 11, 11, 10, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 10, 9, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 10, 9, 10, 9, 6, 6, 9, 10, 8, 8, 4, 4, 5, 7, 8, 8, 8, 7, 5, 5, 10, 11, 11, 9, 10, 10, 10, 9, 10, 9, 4, 4, 5, 5, 5, 8, 9, 7, 8, 7, 5, 5, 9, 10, 9, 4, 4, 7, 8, 7, 9, 9, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 7, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 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, 3, 3, 5, 7, 8, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 1, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 10, 10, 10, 0, 2, 0, 2, 1, 10, 10, 0, 2, 1, 1, 1, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 7, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 3, 3, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 3, 3, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 4, 2, 1, 2, 2, 2, 4, 4, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 1, 1, 1, 3, 3, 5, 2, 1, 2, 5, 5, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 3, 3, 0, 2, 0, 0, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 4, 4, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 3, 3, 6, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 6, 6, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 7, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 8, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 8, 8, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 9, 1, 2, 1, 2, 9, 9, 0, 1, 2, 3, 3, 10, 2, 1, 2, 10, 10, 0, 1, 2, 3, 3, 11, 1, 2, 1, 2, 11, 11, 0, 1, 2, 3, 3, 12, 1, 2, 1, 2, 12, 12, 0, 0, 2, 1, 1, 1, 3, 3, 13, 1, 2, 1, 2, 13, 13, 0, 1, 2, 3, 3, 14, 1, 1, 2, 1 ]
[ 465, 15798, 203, 465, 316, 203, 465, 5237, 203, 465, 2322, 203, 465, 12460, 203, 465, 9332, 203, 1070, 4395, 444, 81, 858, 81, 1267, 1188, 7502, 444, 41201, 203, 1070, 15684, 1188, 1519, 81, 452, 81, 272, 2429, 272, 469, 203, 1070, 25405, 32, 1489, 4478, 1188, 3219, 30, 16743, 30, 11647, 203, 1664, 346, 225, 203, 823, 358, 838, 91, 26, 3660, 444, 41201, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3443, 711, 291, 15798, 32, 41201, 3667, 1664, 3207, 784, 27, 291, 630, 32, 2238, 280, 3443, 291, 630, 32, 5586, 1006, 8469, 280, 1665, 291, 630, 32, 4882, 280, 1519, 81, 452, 81, 272, 2429, 272, 469, 32, 7954, 693, 346, 291, 630, 32, 4617, 81, 998, 280, 225, 34, 291, 630, 32, 24102, 81, 4617, 81, 998, 225, 280, 225, 34, 291, 630, 32, 464, 81, 47222, 280, 1665, 284, 665, 1477, 1006, 26, 784, 30, 894, 711, 291, 7502, 444, 41201, 32, 1366, 1006, 26, 784, 30, 894, 27, 291, 415, 9332, 32, 6933, 81, 426, 26, 858, 27, 863, 630, 32, 5586, 1006, 8469, 44, 324, 630, 32, 5586, 1006, 8469, 280, 9332, 32, 6933, 81, 426, 26, 858, 27, 324, 415, 646, 630, 32, 32997, 44, 400, 630, 32, 2238, 32, 39574, 346, 400, 630, 32, 2238, 32, 39574, 15062, 34, 3451, 35, 111, 40337, 299, 301, 36, 16054, 1643, 26, 528, 16743, 32, 13876, 30, 11647, 32, 15644, 30, 9332, 32, 6933, 81, 426, 26, 858, 2610, 400, 415, 9332, 32, 6933, 81, 426, 26, 858, 27, 646, 328, 2107, 11936, 3271, 101, 370, 330, 11936, 9113, 18068, 12132, 528, 630, 32, 24102, 81, 4617, 81, 998, 1454, 225, 35, 284, 665, 1015, 4411, 26, 784, 30, 894, 711, 291, 415, 630, 32, 32373, 1534, 2262, 324, 7502, 444, 41201, 32, 669, 4411, 26, 784, 30, 894, 27, 324, 630, 32, 2238, 32, 39574, 26, 766, 400, 313, 225, 301, 34, 3451, 35, 3451, 36, 111, 1401, 20923, 1370, 18934, 4321, 12604, 37, 3451, 38, 3845, 766, 400, 638, 1643, 26, 6537, 32, 23964, 30, 11647, 32, 4758, 4006, 30, 894, 1114, 858, 21781, 30, 766, 400, 16743, 32, 13876, 30, 11647, 32, 15644, 490, 324, 630, 32, 4617, 81, 998, 1454, 225, 35, 284, 665, 1015, 924, 26, 784, 30, 894, 30, 1137, 711, 291, 630, 32, 669, 7961, 26, 858, 30, 1137, 27, 284, 665, 18200, 1534, 26, 784, 711, 291, 442, 646, 308, 784, 32, 32997, 461, 9332, 32, 6933, 81, 426, 26, 784, 32, 32997, 77, 34, 1674, 34, 1130, 863, 528, 630, 32, 5586, 1006, 8469, 27, 284, 665, 1015, 7961, 26, 784, 30, 894, 30, 1137, 711, 291, 7502, 444, 41201, 32, 669, 7961, 26, 784, 30, 894, 30, 1137, 27, 284, 665, 3844, 41170, 26, 784, 30, 894, 8469, 711, 291, 1858, 280, 1149, 346, 291, 436, 894, 30, 1137, 328, 630, 32, 32997, 44, 324, 415, 9332, 32, 6933, 81, 426, 26, 858, 27, 610, 225, 894, 8469, 44, 400, 345, 280, 316, 32, 1903, 440, 12390, 10040, 1628, 829, 78, 86, 5667, 1717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 3, 3, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 8, 7, 8, 8, 7, 8, 7, 7, 7, 4, 4, 5, 8, 9, 9, 9, 8, 9, 8, 6, 6, 7, 8, 8, 8, 5, 5, 5, 9, 10, 10, 10, 8, 8, 10, 11, 11, 11, 10, 11, 10, 6, 6, 7, 8, 9, 10, 7, 7, 7, 12, 13, 11, 12, 11, 8, 8, 12, 13, 11, 12, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 13, 13, 13, 14, 15, 13, 13, 14, 15, 13, 13, 15, 16, 16, 16, 15, 16, 15, 8, 8, 9, 12, 13, 13, 13, 12, 13, 12, 10, 10, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 9, 9, 13, 14, 14, 14, 14, 14, 12, 12, 13, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 7, 5, 5, 10, 10, 9, 10, 10, 9, 10, 9, 9, 9, 6, 6, 10, 11, 9, 10, 9, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 12, 11, 12, 11, 13, 12, 13, 11, 11, 12, 13, 13, 11, 11, 12, 13, 13, 11, 11, 12, 11, 12, 13, 11, 11, 12, 13, 11, 6, 6, 9, 10, 10, 10, 8, 8, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 10, 9, 10, 8, 8, 11, 12, 12, 12, 11, 15, 14, 15, 13, 14, 13, 13, 12, 9, 9, 9, 10, 11, 11, 11, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 8, 7, 8, 8, 7, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 5, 6, 6, 5, 5, 6, 7, 5, 5, 5, 7, 10, 11, 11, 11, 10, 11, 10, 8, 8, 8, 9, 7, 7, 7, 10, 10, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 2, 2, 8, 8, 8, 8, 8, 8, 0, 0, 1, 0, 0, 10, 10, 1, 1, 2, 1, 1, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 3, 3, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 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, 0, 1, 0, 3, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 5, 2, 2, 1, 1, 7, 1, 8, 2, 1, 1, 10, 2, 1, 3, 3, 0, 2, 2, 2, 0, 0, 2, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 5, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 2, 1, 2, 2, 3, 2, 6, 6, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 323, 108, 36, 203, 465, 5741, 203, 465, 316, 203, 1070, 5592, 32, 48609, 32, 85, 1308, 3350, 1188, 3850, 2208, 261, 203, 465, 43008, 203, 1070, 485, 1229, 449, 1188, 8745, 203, 1070, 485, 1229, 449, 32, 37206, 32, 11702, 1188, 10435, 203, 1070, 485, 1229, 449, 32, 37206, 32, 878, 22792, 1188, 3319, 8695, 11467, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 7287, 815, 81, 4683, 81, 37602, 280, 225, 39, 34, 203, 613, 81, 66, 34, 280, 316, 32, 6993, 463, 2904, 40708, 4289, 370, 316, 32, 6737, 2320, 523, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 35, 280, 316, 32, 6993, 10385, 612, 2009, 48, 13819, 28, 49, 2502, 377, 612, 25894, 2039, 7243, 316, 32, 6737, 2320, 523, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 36, 280, 316, 32, 6993, 440, 4987, 96, 78, 13644, 9532, 83, 31, 108, 1674, 83, 31, 108, 1674, 78, 105, 31, 6603, 44, 12456, 3491, 3212, 19650, 10854, 1130, 19918, 392, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 37, 280, 316, 32, 6993, 440, 1656, 24183, 3451, 38131, 1540, 392, 316, 32, 6737, 2320, 523, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 38, 280, 316, 32, 6993, 440, 1656, 24183, 10589, 3730, 1540, 392, 316, 32, 6737, 2320, 523, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 39, 280, 316, 32, 6993, 9442, 77, 4987, 105, 29, 711, 5272, 5272, 29548, 10228, 1162, 308, 40708, 490, 110, 1157, 78, 16249, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 40, 280, 316, 32, 6993, 5528, 77, 24183, 18311, 3730, 78, 110, 24183, 18311, 3730, 78, 9166, 316, 32, 6737, 2320, 523, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 41, 280, 316, 32, 6993, 9442, 96, 78, 13644, 9532, 91, 59, 79, 1435, 29548, 49, 2502, 78, 110, 40708, 4586, 78, 8666, 40708, 5421, 10854, 16249, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 42, 280, 316, 32, 6993, 9442, 96, 78, 13644, 9532, 88, 56, 79, 414, 29548, 49, 2502, 78, 110, 40708, 4586, 78, 8666, 40708, 5421, 10854, 16249, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 43, 280, 316, 32, 6993, 10385, 2174, 10139, 2009, 48, 13819, 28, 49, 2502, 377, 2174, 10139, 25894, 2039, 7243, 316, 32, 6737, 2320, 523, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 35, 34, 280, 316, 32, 6993, 10385, 3812, 2009, 48, 13819, 28, 49, 2502, 377, 3812, 25894, 2039, 7243, 316, 32, 6737, 2320, 523, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 35, 35, 280, 316, 32, 6993, 10385, 29548, 10228, 10154, 316, 32, 6737, 2320, 523, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 35, 36, 280, 316, 32, 6993, 9442, 96, 1162, 4080, 110, 6488, 4987, 10183, 6488, 4987, 16839, 490, 29548, 49, 2502, 49, 12194, 96, 7243, 316, 32, 29978, 27, 261, 203, 613, 81, 66, 35, 37, 280, 316, 32, 6993, 9442, 96, 4987, 4697, 78, 19, 2502, 3424, 21194, 110, 4586, 24183, 110, 6603, 49 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 4, 6, 7, 7, 5, 5, 6, 7, 4, 0, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 5, 5, 6, 7, 4, 0, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 4, 0, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 5, 5, 6, 7, 4, 0, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 5, 5, 6, 7, 4, 0, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 4, 0, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 5, 5, 6, 7, 4, 0, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 4, 0, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 4, 0, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 5, 5, 6, 7, 4, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 5, 5, 6, 7, 4, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 4, 6, 7, 7, 5, 5, 6, 7, 4, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 4, 5, 6, 4, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 6, 6, 0, 0, 1, 2, 1, 4, 6, 6, 0, 7, 7, 0, 0, 1, 2, 1, 4, 4, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 1933, 203, 465, 5839, 1356, 203, 465, 17787, 203, 465, 2361, 203, 465, 5741, 203, 465, 2322, 203, 465, 316, 203, 465, 7060, 203, 465, 6234, 203, 465, 16539, 203, 465, 5237, 203, 465, 1133, 203, 4073, 225, 280, 5741, 32, 10579, 440, 9281, 3703, 657, 203, 83, 3703, 280, 5741, 32, 10579, 440, 12800, 3703, 657, 203, 578, 8469, 280, 15584, 2946, 81, 858, 81, 2304, 9905, 203, 86, 280, 5053, 426, 81, 1028, 81, 823, 950, 458, 8469, 111, 203, 589, 622, 81, 1700, 81, 16705, 81, 5561, 2262, 284, 8349, 280, 1133, 32, 1003, 346, 284, 442, 10698, 34, 15457, 40, 88, 16054, 1643, 26, 1421, 27, 203, 589, 622, 81, 1696, 81, 12256, 2262, 284, 442, 6234, 32, 44239, 649, 426, 346, 203, 589, 5237, 81, 1851, 26, 3515, 2007, 711, 284, 1688, 280, 3330, 284, 298, 280, 16539, 32, 45606, 26, 3515, 2007, 30, 9073, 47, 1815, 30, 12532, 47, 27958, 32, 18165, 30, 16154, 47, 27958, 32, 39790, 27, 284, 436, 1628, 328, 298, 32, 9362, 32, 33232, 2262, 291, 1688, 1454, 1628, 284, 442, 1688, 203, 589, 6562, 81, 4396, 81, 3731, 81, 1851, 26, 2035, 30, 4774, 711, 284, 4774, 2007, 280, 313, 9404, 313, 474, 3408, 474, 313, 25688, 474, 4774, 474, 43888, 284, 4082, 32, 1338, 440, 2493, 5569, 2016, 3037, 474, 4774, 2007, 474, 313, 9166, 6717, 47, 86, 27, 284, 2498, 81, 3731, 81, 1851, 26, 3515, 2007, 27, 203, 589, 6562, 81, 3731, 81, 1851, 26, 2035, 30, 4774, 711, 284, 4774, 2007, 280, 313, 9404, 313, 474, 3408, 474, 313, 25688, 474, 4774, 474, 43888, 284, 4082, 32, 1338, 440, 2493, 5569, 2016, 3037, 474, 4774, 2007, 474, 313, 9166, 6717, 47, 86, 27, 284, 5237, 81, 1851, 26, 3515, 2007, 27, 203, 589, 622, 81, 1515, 81, 8478, 81, 1793, 81, 4254, 26, 43125, 30, 4921, 558, 5419, 711, 284, 29141, 720, 280, 1605, 284, 436, 4921, 558, 328, 2322, 32, 26366, 26, 43125, 711, 291, 415, 646, 2322, 32, 983, 32, 29712, 26, 1515, 558, 27, 461, 4921, 558, 32, 15990, 26, 1515, 558, 5419, 711, 324, 29141, 720, 32, 1689, 26, 500, 32, 983, 32, 21379, 26, 43125, 474, 13189, 474, 4921, 558, 490, 284, 442, 29141, 720, 203, 589, 622, 81, 36301, 81, 4641, 81, 1260, 81, 20083, 26, 36301, 1215, 558, 711, 284, 894, 1732, 2976, 558, 280, 2322, 32, 983, 32, 15705, 26, 36301, 1215, 558, 27, 284, 442, 894, 1732, 1215, 558, 474, 13189, 474, 894, 1732, 2976, 558, 474, 7286, 4642, 32, 1260, 20, 203, 589, 622, 81, 1260, 81, 668, 81, 605, 26, 35380, 711, 284, 2361, 81, 761, 81, 466, 280, 2156, 26, 35380, 30, 313, 100, 1895, 850, 346, 284, 2361, 81, 605, 262, 280, 2361, 32, 12474, 26, 1260, 81, 761, 81, 466, 27, 284, 706, 81, 668, 262, 280, 1605, 284, 436, 1202, 30, 3550, 328, 2361, 81, 605, 32, 3028, 2262, 291, 415, 827, 26, 3550, 27, 610, 1149, 44, 324, 436, 5748, 328, 4070, 44, 400, 415, 827, 26, 8126, 27, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 2, 4, 5, 4, 6, 6, 6, 0, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 6, 6, 6, 6, 6, 6, 4, 5, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 7, 7, 7, 7, 7, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 4, 4, 6, 7, 6, 7, 7, 6, 6, 7, 8, 6, 6, 7, 9, 8, 9, 6, 6, 7, 9, 8, 9, 6, 2, 2, 3, 3, 3, 6, 7, 5, 6, 5, 3, 3, 6, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 4, 4, 10, 10, 8, 8, 7, 7, 9, 6, 6, 5, 5, 2, 2, 5, 6, 5, 9, 9, 9, 9, 7, 7, 8, 6, 6, 8, 5, 6, 7, 5, 2, 2, 5, 5, 5, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 4, 4, 10, 10, 8, 8, 7, 7, 9, 6, 6, 5, 5, 2, 2, 5, 6, 5, 9, 9, 9, 9, 7, 7, 8, 6, 6, 8, 5, 6, 7, 5, 2, 2, 5, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 4, 3, 3, 5, 6, 5, 6, 5, 3, 3, 5, 7, 10, 11, 9, 10, 9, 10, 10, 9, 6, 6, 9, 8, 9, 8, 9, 9, 9, 8, 5, 5, 10, 9, 10, 9, 13, 12, 13, 11, 12, 11, 14, 13, 13, 12, 12, 13, 11, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 2, 2, 3, 7, 7, 7, 6, 6, 5, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 8, 9, 8, 8, 10, 10, 7, 6, 2, 2, 5, 5, 4, 4, 4, 6, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 4, 2, 2, 3, 4, 5, 3, 3, 6, 6, 5, 6, 5, 3, 3, 5, 8, 9, 8, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 9, 12, 13, 12, 10 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 16, 16, 1, 1, 1, 1, 1, 1, 2, 16, 16, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 17, 17, 1, 1, 1, 1, 2, 17, 17, 0, 0, 2, 2, 2, 1, 0, 18, 18, 1, 1, 2, 1, 1, 2, 18, 18, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 0, 2, 2, 1, 1, 7, 0, 2, 2, 1, 4, 4, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 4, 4, 3, 0, 19, 19, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 19, 19, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 20, 20, 1, 1, 1, 1, 2, 1, 2, 2, 2, 20, 20, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 0, 21, 21, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 21, 21, 0, 0, 0, 4, 4, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 4, 4, 2, 1, 0, 22, 22, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 22, 22, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 23, 23, 1, 1, 1, 1, 1, 1, 2, 1, 2, 23, 23, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 4, 4, 3, 1, 2, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 ]
[ 465, 894, 4280, 203, 1070, 2156, 3034, 32, 1521, 81, 2157, 1188, 2163, 81, 2157, 81, 2122, 203, 823, 2108, 2227, 2780, 1183, 26, 858, 4280, 32, 7233, 711, 284, 665, 894, 81, 2122, 26, 784, 711, 291, 309, 366, 280, 2163, 81, 2157, 81, 2122, 32, 2227, 2780, 1183, 346, 291, 630, 32, 5299, 440, 7236, 392, 309, 366, 32, 2122, 81, 681, 27, 291, 630, 32, 5299, 440, 923, 392, 309, 366, 32, 3337, 27, 291, 630, 32, 25839, 2521, 26, 101, 366, 32, 3419, 27, 291, 630, 32, 25839, 2521, 26, 101, 366, 32, 2122, 81, 426, 27, 291, 630, 32, 5299, 26, 35, 30, 2069, 26, 101, 366, 32, 1327, 81, 9561, 490, 291, 630, 32, 5299, 440, 104, 36, 392, 309, 366, 32, 1327, 81, 9561, 77, 34, 997, 1647, 27, 291, 630, 32, 5299, 440, 104, 36, 392, 309, 366, 32, 1327, 81, 9561, 77, 34, 997, 983, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 7, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 7, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 9, 11, 11, 10, 11, 11, 11, 9, 4, 4, 7, 8, 7, 9, 9, 9, 7, 11, 10, 11, 11, 11, 9, 10, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 11, 10, 11, 11, 11, 9, 10, 9, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 0, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 0, 3, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 465, 29252, 331, 2323, 36, 203, 1070, 22682, 271, 290, 32, 6173, 1188, 6716, 924, 30, 20871, 47717, 203, 1070, 22682, 271, 290, 32, 6173, 32, 19577, 32, 1439, 1188, 27317, 1761, 203, 1070, 22682, 271, 290, 32, 1356, 1188, 6594, 81, 2282, 203, 4073, 280, 5741, 32, 10579, 440, 1840, 1237, 657, 203, 823, 17221, 720, 26, 46261, 1761, 711, 284, 10582, 280, 428, 291, 2884, 3153, 392, 1665, 30, 3037, 466, 28431, 291, 2884, 5275, 392, 1665, 30, 3037, 466, 28431, 284, 1481, 284, 665, 622, 26, 784, 30, 1115, 5321, 711, 291, 2803, 280, 6594, 81, 2282, 32, 2208, 81, 8299, 26, 784, 32, 9211, 30, 10306, 27, 291, 5552, 81, 2132, 280, 1605, 291, 5552, 280, 1524, 324, 1257, 22682, 271, 290, 32, 6173, 32, 19577, 32, 5961, 668, 32, 11393, 720, 32, 371, 569, 324, 10246, 6215, 30, 4511, 5750, 324, 3753, 7116, 668, 324, 4998, 225, 35, 47, 35, 291, 1524, 291, 415, 2803, 32, 3153, 44, 324, 5552, 1454, 330, 3349, 6215, 6132, 101, 25, 324, 5552, 81, 2132, 32, 1689, 26, 2132, 32, 3153, 27, 291, 415, 2803, 32, 5275, 44, 324, 5552, 1454, 330, 3349, 5750, 6132, 101, 25, 324, 5552, 81, 2132, 32, 1689, 26, 2132, 32, 5275, 27, 291, 5552, 1454, 1524, 324, 17076, 6936, 38996, 26, 3153, 471, 38996, 26, 5275, 27, 291, 1524, 291, 1048, 81, 1436, 280, 313, 5288, 372, 10847, 7116, 1149, 706, 645, 27317, 20, 291, 5552, 81, 4295, 280, 630, 32, 1217, 26, 2602, 30, 5552, 81, 2132, 30, 1048, 81, 1436, 47, 731, 81, 1436, 27, 291, 3276, 280, 428, 2665, 26, 3969, 26146, 3153, 392, 313, 5275, 2113, 816, 490, 436, 816, 328, 5552, 81, 4295, 79, 291, 442, 5053, 13504, 950, 3276, 30, 330, 2999, 950, 2069, 26, 4295, 4370, 284, 665, 2364, 26, 784, 30, 1115, 5321, 711, 291, 2803, 280, 6594, 81, 2282, 32, 2208, 81, 8299, 26, 784, 32, 9211, 30, 10306, 27, 291, 415, 646, 2803, 32, 3153, 44, 324, 3636, 20871, 47717, 463, 3153, 683, 291, 415, 646, 2803, 32, 5275, 44, 324, 3636, 20871, 47717, 463, 5275, 683, 291, 5552, 280, 1524, 324, 1257, 22682, 271, 290, 32, 6173, 32, 19577, 32, 5961, 668, 32, 11393, 720, 32, 1526, 569, 324, 24535, 2641, 7116, 668, 308, 3153, 30, 5750, 27, 324, 2742, 10027, 101, 30, 904, 101, 293, 291, 1524, 291, 5552, 81, 2132, 280, 428, 2132, 32, 3153, 30, 2803, 32, 5275, 79, 291, 3387, 280, 630, 32, 4603, 32, 3841, 346, 291, 1596, 44, 324, 623, 3387, 32, 7017, 346, 619, 2738, 44, 400, 2738, 32, 4526, 26, 2602, 30, 5552, 81, 2132, 27, 324, 3387, 32, 3375, 346, 291, 2940, 29252, 331, 2323, 36, 32, 924, 44, 324, 3387, 32, 24654, 346, 324, 1048, 81, 1436, 280, 313, 5288, 13284, 7116, 1149, 328, 27317, 20, 324, 4082, 32, 731, 26, 731, 81, 1436, 27, 324, 3636, 6716, 924, 26, 731, 81, 1436, 27, 291, 8295, 44, 324, 3387, 32, 2679, 346, 291, 442, 2933, 284, 665, 3066, 26, 784, 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, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 5, 5, 8, 8, 6, 6, 6, 9, 9, 5, 5, 8, 8, 6, 6, 6, 9, 9, 5, 5, 2, 2, 3, 4, 5, 4, 4, 6, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 8, 4, 4, 7, 7, 6, 6, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 6, 7, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 6, 6, 10, 10, 9, 10, 9, 11, 10, 11, 9, 4, 4, 5, 6, 7, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 6, 6, 10, 10, 9, 10, 9, 11, 10, 11, 9, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 8, 8, 9, 9, 8, 8, 10, 10, 9, 10, 10, 10, 8, 4, 4, 6, 6, 9, 9, 11, 11, 14, 14, 12, 14, 14, 11, 11, 7, 8, 8, 8, 9, 9, 7, 4, 4, 5, 9, 9, 7, 6, 6, 9, 9, 7, 9, 10, 9, 2, 2, 3, 4, 5, 4, 4, 6, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 8, 4, 4, 5, 6, 7, 8, 5, 5, 5, 7, 9, 9, 11, 11, 4, 4, 5, 6, 7, 8, 5, 5, 5, 7, 9, 9, 11, 11, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 8, 9, 7, 7, 8, 9, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 4, 4, 5, 5, 5, 7, 12, 13, 12, 10, 10, 7, 7, 7, 11, 12, 11, 12, 11, 11, 12, 12, 11, 6, 6, 9, 10, 9, 5, 5, 6, 8, 8, 8, 7, 8, 6, 6, 6, 10, 11, 10, 7, 7, 10, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 7, 7, 10, 11, 10, 11, 11, 11, 10, 7, 7, 8, 10, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 10, 11, 10, 4, 4, 5, 2, 2, 3, 4, 5, 4 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 6, 6, 1, 2, 1, 1, 2, 6, 6, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 3, 1, 2, 2, 2, 4, 4, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 2, 3, 3, 3, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 4, 1, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 3, 3, 2, 4, 4, 9, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 4, 4, 6, 6, 6, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 2, 2, 0, 2, 1, 6, 6, 3, 0, 0, 0, 1, 2, 3, 3, 3, 0, 2, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 6, 6, 4, 4, 4, 0, 2, 1, 4, 4, 7, 4, 4, 3, 2, 1, 2 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 823, 281, 3925, 81, 15699, 81, 9986, 26, 500, 104, 32, 500, 104, 81, 5566, 711, 284, 617, 426, 280, 330, 33109, 32, 15699, 32, 9986, 25, 284, 617, 2310, 280, 330, 3297, 25253, 9468, 556, 11745, 328, 9964, 63, 341, 425, 8805, 4564, 284, 617, 6057, 280, 301, 291, 330, 1141, 950, 3829, 32, 8319, 2009, 400, 2726, 12527, 370, 330, 2359, 372, 600, 4905, 9697, 1425, 400, 2726, 1297, 370, 330, 1922, 312, 537, 9697, 1425, 400, 2726, 24696, 370, 330, 2555, 646, 2552, 372, 312, 9697, 683, 324, 2505, 330, 14903, 14850, 370, 2129, 47, 1815, 471, 291, 330, 15699, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 575, 32, 15699, 370, 330, 7940, 1425, 284, 320, 284, 665, 617, 1809, 81, 19807, 81, 15699, 26, 784, 30, 5564, 30, 12373, 30, 1619, 47, 2521, 711, 291, 415, 1619, 438, 1665, 44, 324, 1619, 280, 2149, 291, 25253, 81, 314, 280, 3177, 291, 25253, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 575, 32, 15699, 683, 291, 415, 308, 1819, 32, 371, 463, 2480, 81, 1160, 683, 610, 330, 33109, 32, 18637, 683, 461, 1619, 32, 371, 463, 2480, 81, 314, 7831, 324, 4523, 81, 1160, 280, 630, 32, 5178, 32, 371, 463, 33109, 32, 18637, 1814, 14304, 26, 2446, 30, 12373, 30, 1619, 32, 371, 463, 2480, 81, 314, 1425, 1619, 47, 1819, 27, 291, 4348, 308, 1819, 32, 371, 463, 2480, 81, 1160, 683, 610, 330, 33109, 32, 5452, 1851, 683, 461, 1619, 32, 371, 463, 2480, 81, 314, 7831, 324, 4523, 81, 1160, 280, 630, 32, 5178, 32, 371, 463, 33109, 32, 5452, 1851, 1814, 14304, 26, 2446, 30, 12373, 30, 1619, 32, 371, 463, 2480, 81, 314, 1425, 1619, 47, 1819, 27, 291, 415, 308, 2480, 81, 1160, 711, 324, 25253, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 575, 32, 15699, 683, 324, 415, 4523, 81, 1160, 32, 15699, 81, 314, 44, 400, 25253, 81, 314, 280, 4523, 81, 1160, 32, 15699, 81, 314, 32, 314, 324, 4348, 4523, 81, 1160, 32, 1935, 81, 1070, 44, 400, 25253, 81, 3631, 280, 25253, 81, 2067, 32, 1903, 26, 2446, 30, 12373, 30, 41449, 1935, 370, 16509, 4523, 81, 1160, 32, 1935, 81, 1070, 14155, 1619, 47, 1819, 27, 400, 415, 25253, 81, 3631, 44, 528, 25253, 81, 314, 280, 25253, 81, 3631, 77, 34, 79, 324, 4348, 4523, 81, 1160, 32, 15699, 81, 426, 44, 400, 25253, 81, 3631, 280, 25253, 81, 2067, 32, 1903, 26, 2446, 30, 12373, 30, 41449, 426, 370, 330, 5698, 479, 370, 6611, 9118, 2480, 81, 1160, 32, 15699, 81, 426, 6897, 23, 36977, 1619, 47, 1819, 27, 400, 415, 25253, 81, 3631, 44, 528, 25253, 81, 314, 280, 25253, 81, 3631, 77, 34, 79, 324, 4348, 4523, 81, 1160, 32, 5546, 81, 426, 44, 400, 25253, 81, 3631, 280, 25253, 81, 2067, 32, 1903, 26, 2446, 30, 12373, 30, 428, 715, 2726 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 9, 8, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 9, 9, 8, 10, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 11, 10, 11, 10, 12, 12, 12, 12, 8, 8, 10, 10, 10, 10, 6, 6, 8, 9, 8, 10, 10, 10, 10, 5, 5, 9, 9, 8, 8, 13, 14, 12, 13, 12, 14, 14, 14, 14, 11, 10, 11, 10, 10, 10, 10, 12, 13, 12, 14, 14, 14, 14, 10, 11, 12, 10, 5, 5, 6, 12, 11, 12, 11, 13, 13, 13, 13, 9, 9, 11, 11, 11, 11, 11, 7, 7, 9, 10, 9, 11, 11, 11, 11, 6, 6, 10, 10, 9, 9, 14, 15, 13, 14, 13, 15, 15, 15, 15, 15, 12, 11, 12, 11, 11, 11, 11, 13, 14, 13, 15, 15, 15, 15, 11, 12, 13, 11, 4, 4, 5, 7, 7, 7, 6, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 6, 6, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 11, 11, 10, 10, 13, 13, 12, 13, 13, 13, 11, 12, 7, 7, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 12, 12, 11, 11, 14, 14, 13, 14, 13, 14, 13, 13, 13, 13, 17, 17, 15, 15, 17, 17, 16, 17, 17, 17, 15, 13, 14, 15, 13, 9, 9, 10, 11, 11, 10, 10, 10, 14, 14, 13, 13, 15, 15, 14, 15, 14, 7, 7, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 12, 12, 11, 11, 14, 14, 13, 14, 13, 14, 13, 13, 13, 13, 17, 17, 15, 17, 17, 17, 15, 19, 19, 19, 19, 18, 19, 19, 19, 16, 18, 18, 13, 14, 15, 13, 9, 9, 10, 11, 11, 10, 10, 10, 14, 14, 13, 13, 15, 15, 14, 15, 14, 7, 7, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 12, 12, 11, 11, 14, 14, 13, 14, 13, 14, 13, 13, 13, 13, 14, 14 ]
[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 7, 2, 1, 3, 3, 4, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 7, 2, 1, 4, 4, 4, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 4, 0, 0, 1, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 7, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 5, 0, 0, 1, 2, 2, 2, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 5, 1, 2, 1, 7, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 6, 0, 0, 1, 2, 2, 2, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5 ]
[ 505, 1427, 1643, 505, 280, 313, 268, 25120, 878, 931, 20, 203, 465, 2322, 203, 465, 6314, 203, 1070, 2869, 1188, 3226, 359, 3248, 30, 408, 359, 3248, 30, 559, 13681, 81, 9942, 30, 559, 13681, 81, 1099, 203, 1070, 7060, 1188, 7060, 30, 18760, 74, 9942, 30, 18760, 48995, 30, 18760, 37399, 36, 30, 18760, 37399, 35, 203, 1070, 26313, 1188, 16332, 30, 1550, 3021, 30, 7800, 30, 3903, 203, 1070, 1133, 1188, 1133, 203, 1070, 1245, 335, 360, 32, 2282, 32, 3242, 1188, 4004, 203, 823, 27731, 2861, 26, 984, 711, 3097, 203, 589, 11504, 81, 4658, 26, 6320, 711, 284, 415, 646, 2322, 32, 983, 32, 4658, 3247, 6789, 9708, 101, 25, 904, 12497, 711, 291, 3636, 27731, 2861, 346, 203, 5475, 779, 280, 225, 37, 203, 1068, 9064, 280, 225, 35, 37, 203, 635, 9064, 280, 225, 35, 38, 203, 41425, 9064, 280, 225, 35, 39, 203, 53, 635, 9064, 280, 225, 35, 40, 203, 72, 3364, 280, 225, 36, 36, 203, 823, 37648, 1120, 26, 1212, 711, 284, 665, 1156, 1664, 3207, 784, 30, 12497, 711, 291, 630, 32, 6320, 280, 629, 26, 6320, 27, 291, 4004, 3667, 1664, 3207, 784, 30, 630, 32, 6320, 27, 291, 11504, 81, 4658, 26, 784, 32, 6320, 27, 291, 630, 32, 761, 280, 3056, 6789, 9708, 101, 33, 4597, 25, 904, 630, 32, 6320, 291, 630, 32, 593, 314, 280, 629, 26, 784, 32, 1517, 8532, 5475, 779, 1130, 284, 665, 4117, 81, 8795, 26, 784, 711, 291, 1596, 499, 324, 442, 629, 26, 784, 32, 1517, 8532, 72, 3364, 1130, 291, 2940, 45338, 44, 324, 442, 225, 34, 284, 665, 1628, 381, 81, 5566, 81, 8795, 26, 784, 711, 291, 442, 630, 32, 5566, 81, 8795, 346, 474, 3632, 2009, 2661, 32, 928, 381, 81, 5566, 81, 8795, 346, 10631, 436, 2838, 328, 630, 32, 4915, 1130, 284, 665, 1133, 26, 784, 30, 5713, 47, 34, 711, 291, 2287, 280, 630, 32, 1517, 346, 291, 1133, 280, 629, 26, 1517, 77, 1068, 9064, 1130, 474, 629, 26, 1517, 77, 635, 9064, 1130, 291, 415, 5713, 44, 324, 1133, 1454, 629, 26, 1517, 77, 41425, 9064, 1130, 474, 629, 26, 1517, 77, 53, 635, 9064, 1130, 291, 442, 1133, 284, 665, 2287, 26, 784, 711, 291, 442, 2156, 26, 784, 32, 761, 547, 850, 922, 2998, 346, 284, 665, 636, 26, 784, 711, 291, 442, 630, 32, 1517, 8532, 35, 997, 7201, 463, 346, 683, 284, 665, 11442, 26, 784, 711, 291, 442, 2322, 32, 4597, 26, 784, 32, 761, 5594, 4597, 32, 635, 81, 63, 4804, 79, 203, 823, 37648, 1120, 4888, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 1114, 5893, 280, 2149, 284, 665, 1149, 81, 98, 3631, 26, 784, 711, 291, 436, 1361, 1515, 328, 2322, 32, 26366, 3247, 6789, 7831, 324, 415, 1361, 1515, 32, 44065, 2262, 400, 6761, 629, 26, 43322, 27, 284, 665, 2454, 26, 784, 30, 12497, 711, 291, 12497, 280, 629, 26, 6320, 27, 291, 1596, 44, 324, 442, 630, 1114, 5893, 77, 6320, 79, 291, 2940, 25085, 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, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 7, 8, 6, 7, 6, 9, 9, 9, 9, 7, 7, 6, 3, 3, 5, 7, 7, 0, 3, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 3, 0, 3, 3, 2, 2, 3, 3, 0, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 2, 2, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 7, 8, 9, 7, 4, 4, 7, 7, 7, 9, 8, 9, 7, 4, 4, 7, 8, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 4, 4, 7, 8, 8, 6, 6, 8, 12, 11, 12, 11, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 9, 13, 12, 13, 12, 11, 11, 10, 5, 5, 6, 6, 6, 6, 8, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 8, 6, 6, 8, 12, 11, 12, 12, 12, 12, 12, 12, 11, 9, 9, 10, 10, 10, 11, 12, 9, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 6, 6, 9, 11, 10, 11, 11, 10, 7, 7, 9, 11, 10, 11, 11, 10, 4, 4, 5, 5, 5, 5, 8, 8, 11, 13, 12, 13, 13, 12, 9, 9, 11, 13, 12, 13, 13, 13, 12, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 11, 13, 12, 13, 11, 10, 9, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 10, 11, 10, 9, 8, 8, 7, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 8, 10, 9, 10, 8, 8, 7, 8, 8, 8, 8, 6, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 5, 5, 7, 8, 7, 9, 9, 5, 5, 7, 10, 9, 10, 9, 7, 7, 10, 12, 13, 12, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 7, 9, 10, 8, 9, 8, 5, 5, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 2, 1, 2, 8, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 3, 3, 3, 3, 0, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 3, 2, 1, 4, 4, 3, 2, 1, 2, 2, 3, 2, 2, 3, 3, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 3, 4, 4, 4, 2, 1, 2, 4, 4, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 4, 4, 6, 2, 1, 2, 6, 6, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 17, 17, 1, 1, 17, 17, 17, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 3, 3 ]
[ 465, 3134, 81, 92, 5231, 619, 48539, 203, 465, 6436, 619, 2065, 203, 16221, 280, 48539, 32, 16221, 280, 225, 36, 203, 64, 280, 48539, 32, 64, 280, 225, 38, 203, 14840, 1400, 280, 48539, 32, 14840, 1400, 280, 225, 35, 32, 34, 203, 589, 343, 36, 3969, 26, 3365, 711, 284, 442, 2065, 32, 86, 3034, 26, 3365, 547, 12091, 37309, 35, 30, 36, 1130, 203, 99, 280, 18760, 1400, 28, 36, 28, 2356, 32, 3855, 32, 39385, 26, 64, 30, 16221, 27, 203, 99, 81, 35, 280, 2065, 32, 11925, 26, 2356, 32, 5783, 26, 64, 471, 2356, 32, 14748, 26, 16221, 3427, 12091, 2009, 64, 30, 16221, 30, 16221, 1130, 203, 99, 81, 36, 280, 2065, 32, 9880, 2009, 64, 30, 16221, 30, 16221, 30, 16221, 1130, 203, 98, 280, 18760, 1400, 28, 2356, 32, 3855, 32, 39385, 26, 64, 30, 16221, 27, 203, 6974, 81, 35, 280, 18760, 1400, 28, 2356, 32, 3855, 32, 39385, 26, 64, 30, 16221, 30, 16221, 27, 203, 6974, 81, 36, 280, 2065, 32, 9880, 2009, 64, 30, 16221, 30, 16221, 30, 16221, 1130, 203, 979, 595, 328, 2155, 26, 34, 30, 64, 711, 284, 436, 343, 328, 2155, 26, 34, 30, 16221, 711, 291, 2968, 280, 308, 14840, 1400, 326, 36, 4586, 2356, 32, 3855, 32, 39385, 26, 16221, 30, 16221, 27, 291, 11768, 81, 36, 77, 91, 30, 86, 79, 280, 225, 34, 32, 39, 8088, 2157, 474, 2968, 32, 70, 27, 203, 26, 102, 81, 662, 30, 533, 81, 662, 27, 280, 48539, 32, 42680, 26, 33740, 32, 1376, 2325, 19487, 81, 86, 10026, 644, 106, 81, 452, 81, 1293, 26, 99, 30, 2678, 81, 35, 30, 2678, 81, 36, 30, 298, 30, 11768, 81, 35, 30, 11768, 81, 36, 2588, 394, 47, 35, 7447, 203, 1216, 330, 4332, 13065, 1597, 766, 96, 25, 474, 596, 26, 33740, 32, 8870, 26, 107, 81, 662, 77, 34, 5259, 203, 1216, 330, 3220, 13065, 438, 766, 96, 25, 264, 474, 596, 26, 33740, 32, 8870, 26, 107, 81, 662, 6448, 35, 5259, 203, 2356, 32, 2853, 463, 2024, 33, 1293, 81, 605, 370, 107, 81, 662, 27, 203, 2356, 32, 2853, 463, 2024, 33, 1003, 81, 605, 370, 102, 81, 662, 27, 203, 2356, 32, 2853, 463, 2024, 33, 5522, 36074, 64, 30, 16221, 30, 14840, 1400, 1130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 2, 2, 0, 3, 2, 2, 4, 5, 3, 3, 4, 0, 3, 2, 2, 4, 5, 3, 3, 4, 0, 3, 3, 2, 2, 4, 5, 5, 3, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 7, 8, 8, 7, 8, 7, 6, 5, 8, 6, 7, 6, 0, 3, 2, 2, 5, 4, 5, 3, 7, 6, 7, 5, 6, 5, 6, 5, 6, 5, 0, 3, 3, 3, 2, 2, 6, 7, 6, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 5, 4, 6, 5, 6, 5, 6, 5, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 5, 6, 5, 6, 5, 6, 5, 0, 3, 2, 2, 4, 3, 7, 6, 7, 5, 6, 5, 6, 5, 6, 5, 0, 3, 3, 3, 2, 2, 4, 3, 7, 6, 7, 5, 6, 5, 6, 5, 6, 5, 6, 5, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 5, 6, 5, 6, 5, 6, 5, 0, 1, 1, 1, 1, 3, 4, 3, 4, 3, 1, 1, 3, 3, 3, 5, 6, 5, 6, 5, 3, 3, 6, 6, 10, 10, 9, 10, 8, 11, 10, 11, 9, 10, 9, 10, 9, 10, 9, 4, 4, 8, 8, 7, 8, 7, 8, 7, 6, 6, 8, 8, 8, 7, 10, 9, 9, 10, 11, 8, 0, 3, 4, 4, 4, 3, 3, 4, 4, 3, 2, 2, 4, 5, 4, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 6, 6, 7, 7, 6, 6, 7, 7, 6, 4, 5, 6, 6, 0, 1, 1, 4, 4, 4, 4, 5, 4, 2, 2, 4, 7, 6, 7, 6, 8, 8, 8, 7, 8, 7, 0, 1, 1, 4, 4, 4, 4, 5, 4, 2, 2, 2, 4, 7, 6, 7, 6, 8, 8, 8, 7, 9, 7, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 4, 5, 4, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 3, 1, 5, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 3, 1, 5, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 0, 12, 12, 12, 12, 1, 1, 1, 3, 1, 12, 12, 0, 0, 0, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 1, 5, 5, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 3, 2, 2, 0, 14, 14, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 15, 15, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 5, 5, 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 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 225, 203, 1070, 309, 8495, 94, 81, 1551, 1188, 319, 203, 1270, 44, 284, 1188, 281, 14686, 274, 619, 19571, 203, 7343, 44, 284, 1188, 19571, 203, 589, 739, 81, 2215, 1316, 2176, 104, 711, 284, 1288, 69, 34, 280, 225, 37, 37, 32, 35, 41, 43, 42, 3701, 1288, 58, 15495, 280, 225, 37, 38, 32, 36, 40, 34, 42, 3701, 1288, 69, 35, 280, 225, 37, 39, 32, 40, 40, 41, 42, 3701, 1288, 54, 3103, 280, 225, 37, 40, 32, 38, 38, 42, 42, 3701, 1288, 35347, 35, 280, 225, 37, 42, 32, 40, 43, 34, 38, 3701, 1288, 35347, 36, 280, 225, 39, 34, 32, 37, 42, 41, 36, 3701, 1288, 1706, 51, 280, 225, 39, 34, 32, 40, 39, 41, 36, 3701, 1288, 12978, 280, 225, 40, 35, 32, 43, 40, 35, 35, 3701, 1288, 1996, 7453, 35, 280, 225, 40, 36, 32, 36, 41, 36, 3701, 1288, 61, 8709, 72, 280, 225, 40, 36, 32, 40, 40, 37, 3701, 1288, 61, 8709, 58, 280, 225, 40, 37, 32, 34, 3701, 1288, 12036, 280, 225, 40, 37, 32, 37, 3701, 1288, 1996, 7453, 36, 280, 225, 40, 39, 32, 43, 35, 41, 42, 3701, 1288, 61, 4758, 72, 280, 225, 40, 40, 32, 35, 35, 37, 3701, 1288, 61, 4758, 58, 280, 225, 40, 40, 32, 36, 36, 34, 3701, 1288, 6473, 280, 225, 40, 37, 32, 37, 3701, 2099, 5448, 4109, 1934, 81, 34, 35, 280, 2107, 69, 34, 370, 330, 69, 35, 370, 330, 69, 35, 81, 54, 3103, 370, 330, 54, 3103, 370, 330, 54, 3103, 81, 1706, 51, 370, 330, 1706, 51, 370, 330, 1706, 51, 81, 61, 8709, 72, 370, 330, 61, 8709, 72, 370, 330, 61, 8709, 72, 81, 61, 8709, 58, 370, 330, 61, 8709, 58, 370, 330, 61, 8709, 58, 81, 108, 12036, 785, 284, 2099, 5448, 4109, 1934, 81, 34, 36, 280, 2107, 69, 34, 370, 330, 69, 34, 81, 58, 15495, 370, 330, 58, 15495, 370, 330, 58, 15495, 81, 69, 35, 370, 330, 69, 35, 370, 330, 69, 35, 81, 54, 3103, 370, 330, 54, 3103, 370, 330, 54, 3103, 81, 1706, 51, 370, 330, 1706, 51, 370, 330, 1706, 51, 81, 61, 4758, 72, 370, 330, 61, 4758, 72, 370, 330, 61, 4758, 72, 81, 61, 4758, 58, 370, 330, 61, 4758, 58, 370, 330, 61, 4758, 58, 81, 108, 6473, 785, 284, 2099, 5448, 4109, 1934, 81, 34, 37, 280, 2107, 69, 34, 370, 330, 69, 34, 81, 58, 15495, 370, 330, 58, 15495, 370, 330, 58, 15495, 81, 69, 35, 370, 330, 69, 35, 370, 330, 69, 35, 81, 54, 3103, 370, 330, 54, 3103, 370, 330, 54, 3103, 81, 1706, 51, 370, 330, 1706, 51, 370, 330, 1706, 51, 81, 1996, 7453, 36, 370, 330, 1996, 7453, 36, 81, 61, 4758, 72, 370, 330, 61, 4758, 72, 370, 330, 61, 4758, 72, 81, 61, 4758, 58, 370, 330, 61, 4758, 58, 370, 330, 61, 4758, 58, 81, 108, 6473, 785, 284, 2099, 5448, 4109 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 30, 3829, 203, 1070, 3089, 749, 98, 32, 4280, 32, 4770, 81, 6569, 1188, 10061, 81, 6569, 203, 823, 1695, 81, 1163, 81, 3550, 26, 500, 104, 32, 28538, 1243, 711, 284, 617, 6815, 280, 330, 1439, 32, 1163, 32, 3550, 25, 284, 617, 6057, 280, 301, 291, 330, 2393, 81, 19747, 81, 4534, 81, 2895, 950, 3829, 32, 4398, 463, 6601, 3882, 5657, 645, 10653, 1938, 370, 324, 3049, 347, 2272, 6972, 4250, 372, 6595, 312, 3882, 5657, 645, 322, 10653, 1938, 26551, 291, 330, 2393, 81, 19747, 81, 311, 5817, 13603, 950, 3829, 32, 4398, 463, 6668, 6594, 4250, 372, 2596, 973, 370, 324, 3049, 347, 2797, 28255, 30, 1755, 4691, 13603, 4250, 1631, 2596, 973, 26551, 291, 330, 2393, 81, 19747, 81, 2387, 81, 496, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 575, 32, 3707, 370, 324, 802, 1057, 3442, 1256, 436, 537, 4250, 3272, 3919, 40593, 1425, 284, 320, 284, 665, 622, 81, 1536, 81, 2393, 81, 19747, 81, 2387, 81, 496, 81, 314, 26, 784, 30, 5564, 30, 12373, 30, 3829, 30, 1619, 47, 2521, 711, 291, 12898, 98, 280, 630, 32, 5178, 32, 371, 463, 476, 32, 1163, 81, 5609, 683, 291, 442, 301, 324, 330, 2393, 81, 19747, 81, 4534, 81, 2895, 950, 10061, 81, 6569, 26, 295, 98, 32, 371, 81, 753, 26, 2446, 30, 12373, 30, 330, 2393, 81, 19747, 32, 4534, 81, 2895, 370, 330, 2700, 13356, 324, 330, 2393, 81, 19747, 81, 311, 5817, 13603, 950, 10061, 81, 6569, 26, 295, 98, 32, 371, 81, 753, 26, 2446, 30, 12373, 30, 330, 2393, 81, 19747, 32, 4568, 81, 311, 5817, 13603, 370, 330, 2700, 13356, 324, 330, 2393, 81, 19747, 81, 2387, 81, 496, 81, 314, 950, 10061, 81, 6569, 26, 295, 98, 32, 371, 81, 753, 26, 2446, 30, 12373, 30, 330, 2393, 81, 19747, 32, 2387, 81, 496, 81, 314, 370, 330, 2700, 13356, 291, 320, 284, 665, 739, 81, 2393, 81, 19747, 81, 2387, 81, 496, 81, 314, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1619, 47, 2521, 711, 291, 1359, 280, 630, 32, 14304, 26, 2446, 30, 12373, 30, 9668, 77, 34, 614, 1619, 47, 1819, 27, 291, 12898, 98, 280, 630, 32, 5178, 32, 371, 463, 476, 32, 1163, 81, 5609, 683, 291, 12898, 98, 32, 470, 81, 753, 26, 2446, 30, 12373, 30, 330, 2393, 81, 19747, 32, 4534, 81, 2895, 370, 26542, 26, 1163, 32, 2393, 81, 19747, 81, 4534, 81, 2895, 490, 291, 12898, 98, 32, 470, 81, 753, 26, 2446, 30, 12373, 30, 330, 2393, 81, 19747, 32, 4568, 81, 311, 5817, 13603, 370, 26542, 26, 1163, 32, 2393, 81, 19747, 81, 311, 5817, 13603, 490, 291, 12898, 98, 32, 470, 81, 753, 26, 2446, 30, 12373, 30, 330, 2393, 81, 19747, 32, 2387, 81, 496, 81, 314, 370, 26542, 26, 1163, 32, 2393, 81, 19747, 81, 2387, 81, 496, 81, 314, 32, 314, 490, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 12, 12, 11, 12, 12, 12, 11, 12, 11, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 11, 13, 13, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 12, 12, 11, 12, 12, 12, 11, 12, 11, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 13, 13, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 12, 12, 11, 12, 12, 12, 11, 12, 11, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 13, 13, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 8, 9, 8, 8, 8, 8, 9, 10, 9, 8, 9, 10, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 11, 10, 11, 11, 11, 11, 11, 11, 11, 9, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 11, 10, 11, 11, 11, 11, 11, 11, 11, 9, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 12, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 2, 5, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 1133, 203, 465, 15798, 203, 465, 26313, 203, 465, 19330, 32, 4396, 619, 309, 81, 4396, 203, 465, 19330, 32, 1356, 32, 10459, 619, 309, 81, 10459, 203, 1070, 19330, 32, 4882, 32, 2282, 1188, 319, 203, 823, 10726, 4470, 26, 16377, 1006, 711, 284, 665, 894, 81, 4396, 81, 31079, 26, 784, 711, 291, 39990, 280, 309, 81, 4396, 32, 28626, 346, 291, 706, 280, 2149, 291, 665, 3992, 17849, 26, 106, 30, 533, 47, 36, 34, 711, 324, 442, 816, 474, 533, 291, 665, 3992, 86, 702, 26, 106, 30, 533, 47, 36, 34, 711, 324, 3636, 3268, 463, 4980, 683, 291, 665, 3992, 5087, 26, 3245, 711, 324, 636, 280, 3992, 77, 35, 997, 371, 463, 426, 683, 324, 706, 77, 426, 79, 280, 3992, 291, 594, 314, 35, 280, 309, 81, 4396, 32, 3245, 314, 346, 291, 594, 314, 36, 280, 309, 81, 4396, 32, 3245, 314, 346, 291, 2899, 35, 280, 308, 3245, 17849, 30, 308, 37, 28020, 12797, 291, 2899, 36, 280, 308, 3245, 86, 702, 30, 308, 37, 28020, 12797, 291, 3992, 35, 280, 39990, 32, 1664, 3782, 26, 44579, 35, 30, 2899, 47, 2795, 35, 30, 636, 1057, 3245, 35, 370, 544, 5087, 47, 3245, 5087, 27, 291, 3992, 36, 280, 39990, 32, 1664, 3782, 26, 44579, 36, 30, 2899, 47, 2795, 36, 30, 636, 1057, 3245, 36, 370, 544, 5087, 47, 3245, 5087, 27, 291, 630, 32, 5299, 26, 3992, 35, 77, 34, 614, 594, 314, 35, 829, 291, 630, 32, 5299, 26, 2069, 26, 14167, 32, 10331, 6182, 225, 36, 829, 291, 39990, 1114, 1945, 3782, 26, 3245, 35, 27, 291, 630, 32, 5299, 26, 2069, 26, 14167, 32, 10331, 6182, 225, 35, 829, 291, 39990, 1114, 1945, 3782, 26, 3245, 36, 27, 291, 630, 32, 5299, 26, 2069, 26, 14167, 32, 10331, 6182, 225, 34, 829, 291, 2152, 35, 280, 706, 32, 371, 463, 3245, 35, 683, 291, 630, 32, 25839, 1337, 2521, 26, 2094, 35, 27, 291, 630, 32, 5299, 26, 2152, 35, 77, 35, 5795, 2094, 2188, 225, 36, 37, 829, 291, 2152, 36, 280, 706, 32, 371, 463, 3245, 36, 683, 291, 630, 32, 25839, 1337, 2521, 26, 2094, 36, 27, 291, 630, 32, 5299, 26, 2152, 36, 77, 35, 5795, 530, 2188, 330, 984, 25, 829, 291, 39990, 32, 3507, 91, 346, 284, 665, 894, 81, 4396, 81, 5178, 81, 31079, 26, 784, 711, 291, 39990, 280, 309, 81, 4396, 32, 28626, 346, 291, 39990, 32, 1945, 28626, 4198, 26, 37, 27, 291, 706, 280, 2149, 291, 665, 3992, 17849, 26, 106, 30, 533, 47, 36, 34, 711, 324, 442, 816, 474, 533, 291, 665, 3992, 86, 702, 26, 106, 30, 533, 47, 36, 34, 711, 324, 3636, 3268, 463, 4980, 683, 291, 665, 3992, 5087, 26, 3245, 711, 324, 636, 280, 3992, 77, 35, 997, 371, 463, 426, 683, 324, 706, 77, 426, 79, 280, 3992, 291, 594, 314, 35, 280, 309, 81, 4396, 32, 3245, 314, 346, 291, 594, 314, 36, 280, 309, 81, 4396, 32, 3245, 314, 346, 291, 2899, 35, 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, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 4, 4, 6, 6, 4, 4, 5, 6, 6, 7, 6, 6, 7, 8, 8, 6, 5, 5, 7, 8, 8, 4, 4, 5, 6, 6, 6, 7, 6, 6, 7, 8, 8, 6, 5, 5, 7, 9, 11, 11, 4, 4, 5, 6, 6, 7, 6, 5, 5, 8, 8, 11, 12, 11, 11, 10, 12, 12, 6, 6, 9, 10, 9, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 4, 4, 7, 6, 6, 8, 8, 7, 7, 9, 8, 7, 4, 4, 7, 6, 6, 8, 8, 8, 7, 7, 9, 8, 7, 4, 4, 7, 6, 6, 8, 9, 9, 8, 9, 9, 8, 8, 9, 10, 10, 8, 8, 9, 11, 11, 11, 8, 10, 9, 10, 10, 8, 4, 4, 7, 6, 6, 8, 9, 9, 8, 9, 9, 8, 8, 9, 10, 10, 8, 8, 9, 11, 11, 11, 8, 10, 9, 10, 10, 8, 4, 4, 7, 8, 7, 7, 9, 8, 9, 8, 7, 8, 8, 7, 4, 4, 7, 8, 7, 7, 9, 12, 11, 12, 11, 7, 8, 7, 4, 4, 7, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 7, 7, 9, 12, 11, 12, 11, 7, 8, 7, 4, 4, 7, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 7, 7, 9, 12, 11, 12, 11, 7, 8, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 7, 7, 10, 9, 10, 9, 10, 10, 7, 8, 8, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 7, 7, 10, 9, 10, 9, 10, 10, 7, 9, 9, 7, 4, 4, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 6, 6, 4, 4, 5, 6, 6, 7, 6, 6, 7, 8, 8, 6, 5, 5, 7, 8, 8, 4, 4, 5, 6, 6, 6, 7, 6, 6, 7, 8, 8, 6, 5, 5, 7, 9, 11, 11, 4, 4, 5, 6, 6, 7, 6, 5, 5, 8, 8, 11, 12, 11, 11, 10, 12, 12, 6, 6, 9, 10, 9, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 4, 4, 7, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 2, 1, 1, 2, 2, 0, 4, 4, 0, 2, 0, 4, 1, 1, 2, 2, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 0, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 0, 1, 1, 2, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 2, 1, 3, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 2, 1, 3, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 5, 1, 1, 2, 1, 0, 7, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 5, 1, 1, 2, 1, 0, 7, 2, 2, 1, 4, 4, 0, 2, 1, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 3, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 3, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 4, 4, 0, 1, 1, 2, 4, 4, 5, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0 ]
[ 605, 280, 308, 203, 25, 28046, 5769, 262, 203, 25, 75, 10461, 5769, 262, 203, 25, 73, 272, 5769, 262, 203, 25, 435, 5769, 262, 203, 25, 9008, 91, 5769, 262, 203, 25, 67, 299, 5769, 262, 203, 25, 75, 10461, 5769, 262, 203, 25, 19223, 5769, 262, 203, 25, 33929, 5769, 262, 203, 25, 25387, 5769, 262, 203, 25, 75, 10461, 5769, 262, 203, 25, 1189, 91, 48973, 5769, 262, 203, 25, 28636, 5769, 262, 203, 25, 36892, 5769, 262, 203, 25, 25961, 5769, 262, 203, 44860, 49, 79, 5769, 262, 203, 25, 60, 2531, 5769, 262, 203, 25, 2928, 5769, 262, 203, 25, 12547, 5769, 262, 203, 25, 70, 12886, 5769, 262, 203, 25, 40460, 5769, 262, 203, 25, 75, 10461, 5769, 262, 203, 25, 1189, 272, 5769, 262, 203, 25, 1189, 272, 5769, 262, 203, 25, 68, 644, 5769, 262, 203, 25, 58, 10461, 5769, 262, 203, 25, 76, 8278, 5769, 262, 203, 25, 60, 2531, 5769, 262, 203, 25, 64, 10461, 5769, 262, 203, 25, 40460, 5769, 262, 203, 25, 19261, 103, 5769, 262, 203, 25, 70, 299, 5769, 262, 203, 25, 1238, 5769, 262, 203, 25, 25961, 5769, 262, 203, 25, 56, 819, 5769, 262, 203, 25, 76, 4945, 5769, 262, 203, 25, 5544, 5769, 262, 203, 25, 34132, 5769, 262, 203, 25, 34132, 5769, 262, 203, 25, 2820, 5769, 262, 203, 25, 40500, 5769, 262, 203, 25, 73, 272, 5769, 262, 203, 25, 33100, 5769, 262, 203, 25, 74, 1075, 5769, 262, 203, 25, 20864, 5769, 262, 203, 25, 40500, 5769, 262, 203, 25, 4571, 5769, 262, 203, 25, 57, 742, 5769, 262, 203, 25, 75, 278, 5769, 262, 203, 25, 58, 788, 5769, 262, 203, 25, 74, 10461, 5769, 262, 203, 25, 14919, 5769, 262, 203, 25, 19223, 5769, 262, 203, 25, 63, 3355, 5769, 262, 203, 25, 75, 299, 5769, 262, 203, 25, 75, 278, 5769, 262, 203, 25, 4282, 5769, 262, 203, 25, 58, 788, 5769, 262, 203, 25, 63, 16857, 5769, 262, 203, 25, 74, 299, 5769, 262, 203, 25, 1432, 91, 5769, 262, 203, 25, 76, 3044, 5769, 262, 203, 25, 58, 311, 5769, 262, 203, 25, 64, 3044, 5769, 262, 203, 25, 61, 1707, 5769, 262, 203, 25, 1189, 91, 5769, 262, 203, 25, 55, 5769, 262, 203, 25, 20416, 5769, 262, 203, 25, 1432, 91, 5769, 262, 203, 25, 62, 2531, 5769, 262, 203, 25, 19261, 5769, 262, 203, 25, 19261, 5769, 262, 203, 25, 1432, 91, 5769, 262, 203, 25, 70, 2531, 5769, 262, 203, 25, 53, 644, 5769, 262, 203, 25, 40500, 5769, 262, 203, 25, 4445, 5769, 262, 203, 25, 70, 10461, 5769, 262, 203, 25, 63, 2531, 5769, 262, 203, 25, 58, 1707, 5769, 262, 203, 25, 8849, 5769, 262, 203, 25, 42785, 5769, 262, 203, 25, 33929, 5769, 262, 203, 25, 16309, 5769, 262, 203, 25, 60, 2531, 5769, 262, 203, 25, 60, 2531, 5769, 262, 203, 25, 27832, 5769, 262, 203, 25, 56, 819, 5769, 262, 203, 25, 25486, 742, 5769, 262, 203, 25, 35841, 5769, 262, 203, 25, 75, 266, 5769, 262 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 2, 2, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3 ]
[ 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2 ]
[ 9592, 203, 1514, 447, 4372, 203, 7557, 203, 497, 1503, 11043, 403, 225, 35, 32, 41, 32, 34, 203, 497, 5967, 403, 284, 1348, 6852, 438, 23662, 32, 26983, 793, 461, 2330, 883, 1539, 821, 1346, 1133, 6222, 284, 458, 5967, 438, 6556, 32, 203, 497, 1778, 403, 5703, 33, 1489, 9342, 32, 1645, 284, 499, 2934, 44, 2091, 203, 1318, 5447, 9088, 6852, 6972, 312, 1256, 372, 2192, 312, 1963, 645, 312, 25680, 689, 203, 15668, 2154, 9565, 380, 461, 13156, 883, 526, 1654, 372, 1539, 322, 19461, 1182, 19651, 1213, 32, 203, 6139, 20390, 461, 3319, 13719, 884, 2329, 3943, 436, 35528, 322, 45174, 33, 58, 6004, 33, 25902, 2078, 203, 7224, 631, 32, 203, 6772, 403, 284, 1532, 100, 81, 9342, 280, 5447, 9088, 346, 284, 2935, 32, 669, 81, 3854, 26, 20605, 81, 9342, 27, 284, 588, 2614, 9300, 3404, 30, 996, 883, 5111, 372, 1963, 2804, 3404, 284, 665, 544, 81, 1489, 26, 2386, 30, 786, 711, 291, 1459, 313, 16781, 280, 3003, 596, 26, 853, 27, 225, 588, 225, 556, 1980, 32, 1489, 291, 1459, 313, 58, 6004, 280, 3003, 596, 26, 2386, 32, 90, 2269, 27, 291, 1459, 313, 25902, 280, 3003, 596, 26, 2386, 32, 6949, 81, 1489, 27, 284, 1532, 100, 81, 9342, 32, 2539, 26, 1489, 47, 267, 81, 1489, 27, 203, 9592, 203, 505, 464, 505, 280, 2726, 1514, 9088, 370, 330, 1514, 19834, 683, 203, 1070, 831, 29966, 32, 28299, 32, 2808, 6199, 342, 19074, 1188, 29457, 2344, 203, 1070, 831, 29966, 32, 28299, 32, 3854, 1188, 11855, 203, 1070, 831, 29966, 32, 4642, 1188, 308, 12930, 1653, 30, 11537, 6918, 12930, 1653, 30, 6035, 1682, 1653, 30, 2194, 1653, 30, 6035, 9494, 720, 1653, 30, 892, 1653, 30, 6035, 27825, 1653, 27, 203, 1070, 831, 29966, 32, 9100, 1188, 24493, 203, 1070, 831, 29966, 32, 7008, 1188, 17651, 30, 21081, 1564, 30, 5447, 203, 1070, 831, 29966, 32, 2304, 1188, 622, 81, 1489, 81, 1070, 81, 6949, 30, 622, 81, 6949, 81, 1070, 81, 1489, 203, 1070, 831, 29966, 32, 4073, 1188, 7139, 203, 1070, 7744, 1188, 10712, 30, 9812, 30, 8316, 30, 17058, 30, 43191, 203, 1070, 9612, 1269, 1188, 10940, 81, 452, 81, 90, 2269, 30, 420, 2269, 81, 452, 81, 8270, 203, 589, 7291, 26, 385, 35, 30, 9222, 36, 711, 284, 442, 17058, 1162, 385, 35, 77, 34, 79, 429, 9222, 36, 77, 34, 1130, 1115, 225, 36, 32, 474, 308, 385, 35, 77, 35, 79, 429, 9222, 36, 77, 35, 1130, 1115, 225, 36, 7447, 203, 589, 38060, 81, 452, 81, 6587, 26, 6946, 30, 540, 30, 17210, 711, 284, 442, 7382, 77, 34, 79, 474, 540, 319, 10712, 26, 10753, 471, 7382, 77, 35, 79, 474, 540, 319, 9812, 26, 10753, 27, 203, 589, 7582, 81, 452, 81, 34560, 26, 6946, 30, 816, 30, 533, 711, 284, 415, 816, 610, 7382, 77, 34, 2786, 291, 415, 533, 610, 7382, 77, 35, 2786, 324, 442, 308, 34, 30, 225, 34, 27, 291, 4348, 533, 848, 7382, 77, 35, 2786, 324, 442, 308, 107, 429 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 3, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 2, 3, 2, 1, 1, 3, 5, 11, 11, 10, 11, 10, 9, 9, 11, 10, 11, 10, 7, 7, 8, 8, 6, 6, 11, 11, 10, 11, 10, 9, 9, 11, 10, 11, 10, 7, 7, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 6, 7, 6, 5, 5, 6, 6, 8, 9, 8, 4, 6, 7, 6, 5, 5, 6, 6, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 5, 6, 5, 3, 3, 5, 6, 6, 7, 8, 7, 5, 5, 7, 9, 8, 8, 9, 8, 5, 5, 6, 7, 7, 8, 9, 8, 6, 6, 8, 11, 10 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 4, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 6, 6, 0, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 10, 10, 0, 10, 10, 0, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 0, 11, 11, 2, 1, 1, 2, 2, 3, 2, 11, 11, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 12, 12, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 13, 13, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 13, 13, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 3, 1, 0, 0, 4, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1 ]
[ 1070, 3089, 749, 98, 1188, 4125, 30, 4549, 30, 3829, 203, 823, 488, 8629, 24504, 2986, 2390, 1811, 26, 3378, 32, 1243, 711, 284, 617, 6815, 280, 330, 8087, 98, 32, 12191, 32, 1007, 2390, 32, 928, 25, 284, 4212, 81, 1003, 81, 4446, 280, 3829, 32, 3582, 36, 11374, 463, 7428, 32, 1003, 32, 928, 370, 12928, 330, 7428, 81, 1003, 370, 12928, 802, 1057, 3774, 3717, 45682, 683, 284, 665, 617, 1297, 81, 7428, 81, 928, 26, 784, 711, 291, 630, 32, 2121, 710, 7428, 32, 1003, 32, 928, 5695, 1297, 1371, 324, 330, 1366, 81, 770, 950, 3829, 32, 30797, 32, 2174, 1026, 324, 330, 7428, 81, 1003, 950, 630, 32, 314, 30, 324, 330, 496, 950, 630, 32, 2121, 32, 1890, 1748, 284, 665, 617, 1821, 81, 416, 81, 770, 81, 7428, 81, 928, 26, 784, 711, 291, 630, 32, 7428, 81, 1003, 81, 4446, 6448, 35, 997, 416, 81, 770, 280, 3829, 32, 30797, 32, 2174, 346, 284, 665, 2125, 81, 1366, 81, 13578, 26, 784, 711, 291, 1056, 280, 2599, 26, 63, 8629, 24504, 2986, 2390, 1811, 30, 5556, 630, 547, 1141, 81, 1366, 81, 13578, 346, 291, 630, 1114, 1297, 81, 7428, 81, 928, 346, 291, 442, 1056, 284, 665, 2125, 81, 12089, 26, 784, 711, 291, 1056, 280, 2599, 26, 63, 8629, 24504, 2986, 2390, 1811, 30, 630, 547, 1141, 81, 12089, 346, 291, 630, 1114, 1821, 81, 416, 81, 770, 81, 7428, 81, 928, 346, 291, 442, 1056, 284, 665, 2125, 81, 14957, 26, 784, 711, 291, 1056, 280, 2599, 26, 63, 8629, 24504, 2986, 2390, 1811, 30, 630, 547, 1141, 81, 14957, 346, 291, 630, 1114, 1297, 81, 7428, 81, 928, 346, 291, 442, 1056, 284, 665, 2125, 81, 5087, 26, 784, 711, 291, 1056, 280, 2599, 26, 63, 8629, 24504, 2986, 2390, 1811, 30, 630, 547, 1141, 81, 5087, 346, 291, 630, 1114, 1821, 81, 416, 81, 770, 81, 7428, 81, 928, 346, 291, 442, 1056, 203, 823, 11950, 1043, 1811, 26, 3378, 32, 1243, 711, 284, 617, 426, 280, 330, 7428, 32, 1003, 32, 928, 25, 284, 617, 4875, 81, 426, 280, 330, 7428, 81, 1003, 25, 284, 665, 617, 1536, 81, 496, 26, 784, 711, 291, 442, 630, 32, 2121, 32, 1890, 284, 1477, 81, 770, 280, 3829, 32, 30797, 26, 800, 1057, 2130, 2821, 683, 284, 943, 81, 770, 280, 3829, 32, 30797, 26, 800, 1057, 2102, 2821, 683, 284, 4212, 81, 1003, 280, 3829, 32, 7434, 36, 658, 463, 8087, 98, 32, 12191, 32, 1007, 2390, 32, 928, 683, 284, 1044, 17694, 280, 3829, 32, 3670, 26, 800, 1057, 71, 17694, 370, 7596, 1057, 7428, 81, 28709, 370, 3775, 2968, 47, 1815, 30, 16105, 4310, 35, 36, 30, 225, 40, 490, 284, 11351, 280, 3829, 32, 7434, 36, 658, 463, 8087, 98, 32, 12191, 370, 768, 5886, 1057, 7428, 81, 1003, 32, 12191, 81, 314, 370, 768, 802, 1057, 24504, 370, 2968, 47, 1815, 27, 284, 1256, 280, 3829, 32, 7434, 36, 658, 463, 575, 32, 3707, 370, 802, 1057, 1240, 370, 1244, 11645, 1536, 81, 496 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 10, 10, 10, 10, 10, 10, 8, 7, 8, 8, 11, 11, 11, 11, 9, 12, 13, 11, 12, 11, 8, 8, 11, 11, 11, 11, 9, 10, 11, 8, 8, 8, 11, 11, 9, 11, 12, 10, 11, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 8, 10, 8, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 6, 7, 9, 9, 9, 9, 6, 6, 7, 8, 6, 6, 7, 9, 9, 8, 8, 9, 8, 2, 2, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 6, 7, 9, 9, 6, 7, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 2, 5, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 2, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 2, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 2, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 7, 1, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 7, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 5, 2, 2, 2 ]
[ 465, 5237, 30, 3855, 30, 3812, 203, 96, 5837, 280, 225, 37, 34, 34, 34, 203, 32492, 368, 581, 19296, 280, 225, 34, 32, 36, 203, 32492, 404, 1927, 280, 225, 34, 32, 35, 203, 93, 70, 280, 225, 34, 32, 34, 39, 203, 3855, 32, 7389, 26, 36, 41, 42, 38, 42, 27, 203, 6118, 280, 5237, 32, 6118, 203, 325, 2069, 26, 6118, 27, 863, 225, 36, 44, 334, 1459, 313, 6647, 44, 16561, 32, 978, 328, 32, 6053, 20, 334, 5237, 32, 4775, 346, 203, 35380, 280, 5237, 32, 6118, 77, 35, 79, 203, 1070, 38693, 28728, 1188, 38693, 28728, 203, 94, 317, 280, 38693, 28728, 346, 203, 4446, 280, 2156, 26, 35380, 1947, 100, 1814, 33232, 346, 203, 979, 1628, 328, 5430, 44, 456, 317, 32, 2501, 26, 928, 27, 203, 94, 317, 32, 2501, 440, 4502, 484, 5040, 3340, 657, 203, 94, 317, 32, 2501, 440, 1945, 225, 34, 657, 203, 96, 20029, 280, 456, 317, 32, 8281, 81, 3264, 440, 96, 20029, 392, 34, 27, 203, 405, 266, 280, 456, 317, 32, 8281, 81, 7924, 440, 968, 775, 81, 348, 392, 34, 30, 34, 27, 517, 310, 20029, 203, 94, 317, 32, 2501, 440, 4502, 2642, 266, 5040, 398, 87, 657, 203, 106, 280, 456, 317, 32, 8281, 81, 4149, 440, 106, 392, 37, 27, 203, 979, 595, 328, 35198, 26, 96, 20029, 711, 334, 816, 77, 91, 1674, 34, 79, 1454, 36835, 368, 581, 19296, 319, 308, 36, 28, 3855, 32, 3855, 17662, 35, 27, 334, 816, 77, 91, 1674, 35, 79, 1454, 36835, 368, 581, 19296, 319, 308, 36, 28, 3855, 32, 3855, 17662, 35, 27, 203, 94, 317, 32, 2501, 440, 4502, 709, 633, 5040, 398, 87, 657, 203, 94, 317, 32, 2501, 440, 968, 775, 81, 1621, 3115, 3111, 354, 81, 405, 266, 354, 81, 342, 633, 3340, 657, 203, 94, 317, 32, 2501, 440, 1945, 225, 34, 657, 203, 106, 280, 456, 317, 32, 8281, 81, 4149, 440, 106, 392, 37, 27, 203, 94, 317, 32, 2501, 440, 4502, 709, 633, 5040, 398, 87, 657, 203, 445, 502, 280, 456, 317, 32, 8281, 81, 7924, 440, 968, 775, 81, 348, 392, 34, 30, 34, 27, 517, 310, 20029, 203, 342, 633, 280, 3236, 502, 203, 96, 7494, 280, 225, 34, 203, 979, 595, 328, 35198, 26, 96, 5837, 711, 334, 595, 4149, 280, 3995, 32, 6386, 3585, 26, 34, 30, 96, 20029, 27, 334, 816, 34, 280, 816, 77, 91, 4149, 1674, 34, 79, 334, 533, 34, 280, 816, 77, 91, 4149, 1674, 35, 79, 334, 816, 77, 91, 4149, 1674, 34, 79, 1454, 36835, 404, 1927, 319, 308, 36, 28, 3855, 32, 3855, 17662, 35, 27, 334, 816, 77, 91, 4149, 1674, 35, 79, 1454, 36835, 404, 1927, 319, 308, 36, 28, 3855, 32, 3855, 17662, 35, 27, 334, 456, 317, 32, 2501, 440, 1945, 225, 35, 1406, 1289, 2364, 1289, 657, 334, 816, 280, 456, 317, 32, 8281, 81, 4149, 440, 106, 392, 37, 27, 334, 484, 280, 456, 317, 32, 8281, 81, 7924, 440, 968, 775, 81, 348 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 0, 3, 2, 2, 3, 4, 0, 1, 1, 4, 5, 4, 2, 2, 3, 1, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 6, 5, 0, 3, 2, 2, 4, 5, 3, 4, 3, 0, 1, 1, 3, 1, 1, 3, 0, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 6, 7, 6, 8, 8, 5, 4, 0, 1, 1, 1, 1, 1, 1, 6, 5, 6, 5, 6, 5, 0, 4, 4, 3, 4, 3, 5, 5, 5, 5, 5, 0, 4, 4, 3, 4, 3, 5, 5, 5, 5, 0, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 6, 6, 6, 5, 4, 0, 3, 3, 2, 2, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 6, 5, 6, 5, 3, 3, 4, 0, 4, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 2, 2, 5, 4, 5, 5, 5, 4, 6, 6, 5, 4, 0, 1, 1, 1, 1, 3, 4, 4, 3, 1, 1, 6, 7, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 9, 8, 11, 10, 11, 10, 8, 6, 2, 2, 6, 7, 6, 6, 5, 4, 4, 6, 6, 6, 5, 5, 9, 8, 11, 10, 11, 10, 8, 6, 0, 4, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 0, 4, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 4, 3, 4, 3, 5, 5, 5, 5, 0, 3, 2, 2, 5, 4, 5, 5, 5, 4, 6, 6, 5, 4, 0, 4, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 2, 2, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 6, 5, 6, 5, 3, 3, 4, 0, 3, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 0, 1, 1, 1, 1, 3, 4, 4, 3, 1, 1, 5, 4, 4, 6, 7, 7, 6, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 6, 7, 7, 6, 6, 5, 2, 2, 5, 4, 4, 6, 7, 7, 6, 6, 5, 2, 2, 6, 7, 7, 6, 6, 5, 4, 4, 6, 6, 5, 5, 9, 8, 11, 10, 11, 10, 8, 6, 2, 2, 6, 7, 7, 6, 6, 5, 4, 4, 6, 6, 5, 5, 9, 8, 11, 10, 11, 10, 8, 6, 2, 2, 6, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 7, 6, 2, 2, 4, 4, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 7, 7, 1, 1, 1, 1, 1, 2, 7, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 12, 12, 12, 12, 12, 12, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 5, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 3, 1, 0, 19, 19, 19, 19, 1, 1, 1, 1, 19, 19, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 5, 5, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 3, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 28, 28, 28, 28, 1, 1, 1, 1, 28, 28, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 0, 2, 2, 0, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 0, 2, 2, 5, 5, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 5, 5, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 3, 1, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 823, 29325, 1223, 6443, 3989, 26, 1120, 16653, 711, 284, 12265, 81, 12344, 280, 330, 27914, 1223, 6443, 32, 508, 25, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 49, 555, 18470, 1499, 8169, 6505, 27914, 1223, 6443, 8169, 508, 29401, 85, 53, 79, 1498, 33, 5000, 77, 85, 53, 79, 1403, 8169, 12848, 78, 49, 314, 4310, 49, 66, 46, 314, 8828, 34, 31, 43, 6155, 9905, 284, 617, 3765, 280, 301, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 27914, 1223, 6443, 32, 508, 33, 4094, 33, 1698, 542, 1403, 32, 12848, 49, 314, 47, 40, 35, 39, 42, 40, 43, 370, 291, 330, 954, 39, 950, 330, 40, 85, 34, 329, 1161, 41, 83, 41, 42, 41, 83, 17586, 42, 37, 43, 35, 87, 38, 35778, 41, 84, 34, 88, 39, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 40, 35, 39, 42, 40, 43, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 936, 399, 1816, 432, 322, 32120, 544, 225, 36, 34, 35, 37, 394, 15019, 370, 324, 330, 2310, 950, 313, 72, 742, 103, 704, 1182, 13913, 342, 475, 1226, 1155, 544, 26934, 12224, 13121, 26059, 436, 3857, 31, 24022, 484, 2842, 483, 461, 15127, 18926, 31, 19512, 28404, 328, 225, 36, 34, 35, 37, 4414, 324, 330, 12301, 950, 540, 4484, 44, 80, 641, 49, 555, 3424, 95, 18470, 271, 1223, 6505, 6443, 8169, 508, 4724, 29, 7381, 8169, 3072, 22, 25, 291, 320, 284, 320, 284, 665, 617, 4543, 81, 8281, 26, 784, 30, 1984, 711, 291, 345, 2067, 280, 316, 32, 2872, 26, 784, 1114, 5915, 81, 2413, 30, 1984, 27, 291, 6027, 81, 314, 280, 345, 2067, 32, 1363, 463, 314, 683, 291, 41164, 280, 630, 1114, 4984, 81, 1840, 1637, 26, 965, 30, 6027, 81, 314, 27, 291, 1780, 280, 630, 1114, 916, 81, 1903, 81, 7920, 26, 324, 540, 20879, 90, 35, 804, 347, 1311, 2359, 10614, 40708, 2874, 90, 35, 10154, 41164, 30, 330, 1311, 683, 291, 6027, 81, 965, 280, 630, 1114, 916, 81, 1903, 81, 7920, 26, 324, 540, 20879, 1131, 827, 347, 3864, 20, 804, 347, 21994, 6076, 2205, 20, 786, 347, 24183, 1446, 29, 4731, 370, 324, 41164, 30, 330, 5000, 3834, 683, 291, 23189, 280, 630, 1114, 916, 81, 1903, 81, 7920, 26, 324, 540, 20879, 1131, 827, 347, 3864, 20, 804, 347, 21994, 7348, 20, 786, 347, 24183, 1446, 29, 4731, 370, 324, 41164, 30, 330, 12301, 370, 26250, 47, 2700, 27, 291, 3048, 280, 630, 1114, 916, 81, 1903, 81, 7920, 26, 324, 540, 20879, 507, 804, 347, 95, 6443, 24759, 2296, 28, 49, 1563, 40708, 2874, 507, 10154, 324, 41164, 30, 330, 2310, 370, 26250, 47, 2700, 27, 291, 442, 301, 324, 330, 314, 950, 6027, 81, 314, 30, 324, 330, 1311, 950, 1780, 30, 324, 330, 965, 950, 6027, 81, 965, 30, 324, 330, 12301, 950, 23189, 30, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 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, 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, 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, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 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, 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, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 8, 9, 8, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 8, 10, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 8, 10, 10, 8, 9, 10, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 8, 10, 10, 8, 9, 10, 8, 4, 4, 5, 6, 6, 9, 9, 7, 8, 8, 6, 6, 6, 9, 9, 7, 6, 6, 6, 9, 9, 7, 8, 8, 6, 6, 6, 9, 9, 7, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 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, 1, 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, 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, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 1, 2, 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, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 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, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 7, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 2, 1, 4, 4, 7, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 2, 7, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 1070, 9991, 32, 8524, 32, 3613, 1188, 7841, 203, 1070, 28520, 32, 3477, 32, 4573, 32, 2003, 106, 500, 1188, 5439, 106, 500, 81, 1163, 203, 1070, 9991, 32, 3477, 32, 2304, 1188, 739, 81, 1647, 81, 1132, 203, 1070, 638, 2003, 106, 500, 81, 1647, 1188, 2108, 6139, 106, 500, 2459, 30, 2454, 81, 12940, 203, 823, 2108, 6139, 106, 500, 1063, 2459, 26, 1006, 6139, 106, 500, 2459, 711, 284, 2297, 280, 5439, 106, 500, 81, 1163, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1006, 6139, 106, 500, 1063, 2459, 30, 630, 547, 23741, 346, 291, 630, 32, 3613, 81, 371, 81, 1163, 280, 7841, 463, 19441, 32, 3477, 32, 4573, 32, 2003, 106, 500, 32, 2003, 106, 500, 81, 1163, 32, 371, 81, 1163, 683, 291, 630, 32, 371, 81, 1163, 280, 630, 32, 3613, 81, 371, 81, 1163, 32, 1366, 346, 291, 630, 32, 3613, 81, 944, 81, 1163, 280, 7841, 463, 19441, 32, 3477, 32, 4573, 32, 2003, 106, 500, 32, 2003, 106, 500, 81, 1163, 32, 944, 81, 1163, 683, 291, 630, 32, 944, 81, 1163, 280, 630, 32, 3613, 81, 944, 81, 1163, 32, 1366, 346, 291, 630, 32, 3613, 81, 1945, 81, 7621, 280, 7841, 463, 19441, 32, 3477, 32, 4573, 32, 2003, 106, 500, 32, 2003, 106, 500, 81, 1163, 32, 1945, 81, 7621, 683, 291, 630, 32, 1945, 81, 7621, 280, 630, 32, 3613, 81, 1945, 81, 7621, 32, 1366, 346, 284, 665, 28921, 26, 784, 711, 291, 2599, 26, 1006, 6139, 106, 500, 1063, 2459, 30, 630, 547, 519, 282, 3211, 346, 291, 630, 32, 3613, 81, 371, 81, 1163, 32, 4048, 346, 291, 630, 32, 3613, 81, 944, 81, 1163, 32, 4048, 346, 291, 630, 32, 3613, 81, 1945, 81, 7621, 32, 4048, 346, 284, 665, 2454, 81, 18972, 26, 784, 30, 6350, 47, 2521, 711, 291, 1359, 81, 761, 280, 330, 2003, 106, 500, 81, 1163, 81, 1163, 32, 4687, 25, 291, 630, 32, 371, 81, 1163, 32, 601, 81, 853, 280, 2454, 81, 12940, 26, 1163, 81, 761, 27, 291, 630, 32, 944, 81, 1163, 32, 601, 81, 853, 280, 1665, 284, 665, 894, 81, 2003, 106, 500, 81, 1163, 81, 311, 8968, 26, 784, 711, 291, 1561, 280, 2454, 81, 12940, 463, 2003, 106, 500, 81, 1163, 81, 1163, 32, 4687, 683, 291, 739, 81, 1647, 81, 1132, 26, 2665, 26, 1617, 47, 1617, 490, 291, 630, 32, 4526, 81, 1647, 346, 284, 665, 894, 81, 2003, 106, 500, 81, 1163, 81, 1617, 26, 784, 711, 291, 1561, 280, 2454, 81, 12940, 463, 2003, 106, 500, 81, 1163, 81, 1617, 32, 4687, 683, 291, 739, 81, 1647, 81, 1132, 26, 2665, 26, 1617, 47, 1617, 490, 291, 6350, 280, 2107, 12256, 9214, 370, 330, 3337, 40238, 225, 34, 33, 34, 370, 528, 330, 1347, 4749, 2965, 785, 291, 630, 32, 4526, 81, 1647, 26, 8968, 47, 1815, 30, 6350, 47, 7621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 4, 4, 5, 5, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 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, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 10, 10, 10, 10, 8, 9, 8, 4, 4, 7, 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, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 10, 10, 10, 10, 8, 9, 8, 4, 4, 7, 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, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 10, 10, 10, 10, 8, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 8, 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, 5, 4, 4, 5, 6, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 9, 9, 9, 7, 8, 8, 8, 6, 6, 8, 8, 8, 9, 9, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 9, 9, 11, 10, 11, 9, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 9, 9, 11, 10, 11, 9, 4, 4, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 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, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 6, 6, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 2, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2 ]
[ 465, 6234, 203, 465, 26313, 203, 465, 5237, 203, 465, 2322, 203, 465, 2738, 1464, 203, 465, 13363, 101, 203, 465, 32703, 32, 2416, 203, 1070, 640, 1188, 8741, 13059, 203, 465, 3995, 203, 1070, 7395, 14510, 1188, 312, 36, 84, 81, 1439, 40, 38, 619, 312, 36, 84, 203, 1070, 7395, 14510, 1188, 323, 36, 83, 81, 1439, 40, 38, 619, 323, 36, 83, 203, 1070, 622, 4617, 1188, 622, 4617, 203, 1070, 309, 317, 1188, 358, 1456, 203, 1070, 32703, 32, 2435, 1188, 6926, 203, 1070, 32703, 32, 1040, 1188, 5615, 203, 1070, 2738, 1464, 32, 878, 6126, 1188, 3319, 1501, 203, 1070, 1619, 1356, 1188, 1619, 4018, 203, 1070, 3619, 648, 97, 1188, 17101, 97, 2499, 94, 30, 3677, 81, 203, 1070, 1133, 1188, 9368, 203, 37954, 81, 8094, 81, 3624, 2407, 280, 225, 43, 34, 39, 38, 203, 37954, 81, 8094, 81, 11422, 81, 3624, 262, 280, 225, 43, 34, 39, 39, 203, 37954, 81, 10923, 81, 3624, 2407, 280, 225, 43, 35, 39, 38, 203, 37954, 81, 10923, 81, 11422, 81, 3624, 262, 280, 225, 43, 35, 39, 39, 203, 10923, 81, 3539, 81, 7560, 81, 3624, 263, 280, 225, 36, 34, 34, 34, 203, 8094, 81, 3539, 81, 7560, 81, 3624, 263, 280, 225, 36, 34, 34, 35, 203, 3731, 32, 470, 46329, 3248, 26, 38, 34, 43, 40, 27, 203, 50, 1819, 4018, 203, 589, 6234, 1819, 2740, 1132, 30, 1115, 5321, 711, 284, 309, 280, 6234, 32, 4817, 2740, 1132, 30, 1115, 5321, 27, 284, 309, 32, 470, 46989, 26, 4817, 32, 18634, 81, 22251, 30, 6234, 32, 3629, 81, 613, 4855, 8588, 30, 225, 35, 27, 284, 309, 32, 470, 46989, 26, 4817, 32, 2027, 9988, 81, 12364, 30, 6234, 32, 12364, 81, 9179, 9659, 30, 225, 35, 27, 284, 6761, 309, 284, 309, 32, 2679, 346, 203, 50, 1819, 4018, 203, 589, 24747, 1819, 2262, 284, 1596, 44, 291, 309, 280, 13363, 101, 32, 9184, 4817, 346, 291, 309, 32, 470, 81, 5866, 26, 38124, 32, 30492, 69, 39, 30, 330, 35, 36, 41, 32, 34, 32, 34, 32, 35, 370, 46169, 81, 10923, 81, 3624, 27, 291, 6761, 309, 291, 309, 32, 2679, 346, 284, 2940, 13363, 101, 32, 30492, 69, 39, 924, 44, 291, 1459, 4247, 291, 1459, 330, 4282, 1849, 372, 4465, 1946, 8448, 436, 322, 45510, 4851, 25, 291, 1459, 330, 269, 322, 2145, 372, 526, 27493, 32, 8959, 4056, 328, 312, 25, 291, 1459, 330, 19880, 556, 3134, 4564, 203, 823, 617, 1031, 1501, 26, 1031, 1501, 711, 284, 665, 1156, 1664, 45909, 1132, 30, 1115, 5321, 711, 291, 3319, 1501, 3667, 1664, 45909, 1132, 30, 1115, 5321, 27, 284, 665, 745, 81, 2501, 26, 784, 30, 663, 711, 291, 415, 663, 610, 2738, 1464, 32, 3307, 81, 613, 3364, 44, 324, 15173, 2839, 346, 324, 436, 595, 328, 2155, 26, 42, 711, 8982, 3319, 1501, 32, 1409, 81, 2501, 26, 784, 30, 225, 35, 27, 400, 3319, 1501, 32, 1409, 81, 2501, 26, 784, 30, 225, 35, 35, 27, 400, 3319, 1501, 32, 1409, 81, 2501 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 1, 1, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 0, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4, 3, 0, 2, 3, 3, 1, 2, 2, 3, 3, 5, 3, 3, 5, 3, 2, 2, 5, 5, 7, 8, 7, 9, 7, 7, 9, 7, 3, 3, 6, 7, 7, 6, 8, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 6, 6, 7, 6, 3, 3, 6, 7, 7, 6, 8, 7, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 6, 6, 7, 6, 3, 3, 5, 3, 3, 6, 7, 6, 0, 2, 3, 3, 1, 2, 2, 3, 3, 2, 2, 4, 4, 4, 7, 7, 10, 9, 10, 10, 9, 5, 5, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 8, 5, 5, 7, 5, 5, 8, 9, 8, 4, 4, 5, 7, 6, 7, 7, 7, 7, 5, 5, 5, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 6, 4, 4, 6, 4, 3, 3, 8, 7, 8, 8, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 8, 7, 8, 8, 8, 8, 5, 5, 5, 9, 9, 6, 6, 7, 7, 7, 9, 10, 9, 7, 7, 12, 11, 12, 12, 12, 11, 12, 11, 11, 12, 11, 8, 8, 12, 11, 12, 12, 12, 11, 12, 11, 11, 12, 12, 11, 8, 8, 12, 11, 12, 12, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 0, 6, 6, 1, 2, 0, 7, 7, 7, 7, 0, 0, 8, 8, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 0, 10, 10, 0, 10, 10, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 0, 11, 11, 0, 11, 11, 0, 0, 12, 12, 0, 12, 12, 0, 0, 13, 13, 1, 2, 13, 13, 0, 14, 14, 1, 2, 14, 14, 0, 15, 15, 0, 1, 2, 2, 15, 15, 0, 0, 16, 16, 0, 16, 16, 0, 0, 17, 17, 0, 0, 17, 17, 0, 0, 0, 17, 17, 0, 0, 18, 18, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 26, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 5, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 1, 5, 1, 4, 4, 0, 4, 4, 0, 2, 1, 0, 0, 1, 1, 27, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 5, 5, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 3, 0, 1, 2, 2, 2, 2, 3, 3, 3, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 0, 28, 28, 1, 1, 2, 1, 1, 2, 28, 28, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 2, 2, 2 ]
[ 465, 2322, 203, 465, 1133, 203, 465, 5741, 203, 1070, 485, 278, 45454, 1188, 8745, 203, 1070, 485, 278, 45454, 1188, 16614, 203, 1070, 485, 278, 45454, 1188, 3878, 203, 38915, 81, 37083, 30645, 280, 225, 42, 319, 225, 37, 40, 34, 34, 203, 3307, 81, 32616, 2418, 81, 7498, 280, 313, 15276, 81, 998, 20, 203, 3307, 81, 32616, 2418, 81, 5873, 280, 313, 15276, 81, 6036, 20, 203, 3307, 81, 613, 7383, 81, 7498, 280, 313, 17506, 81, 998, 20, 203, 3307, 81, 613, 7383, 81, 5873, 280, 313, 17506, 81, 6036, 20, 203, 3307, 81, 24974, 81, 779, 280, 313, 3608, 314, 20, 203, 589, 3927, 1078, 974, 26, 983, 711, 334, 1603, 761, 81, 2995, 280, 2322, 32, 1676, 26, 983, 30, 2322, 32, 65, 81, 12733, 2591, 523, 2322, 32, 65, 81, 3412, 722, 27, 334, 1596, 44, 284, 8745, 32, 4631, 974, 26, 1293, 761, 81, 2995, 27, 334, 2940, 3878, 32, 4631, 924, 30, 1137, 44, 284, 5741, 32, 731, 440, 4445, 1330, 20912, 5440, 544, 1603, 803, 904, 101, 44, 904, 101, 392, 1519, 30, 1137, 27, 284, 442, 1665, 334, 442, 2322, 32, 2995, 1676, 26, 1293, 761, 81, 2995, 30, 313, 105, 36998, 203, 823, 22614, 265, 1078, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 1603, 761, 711, 284, 630, 32, 1293, 761, 280, 1603, 761, 284, 1596, 44, 397, 1603, 81, 605, 280, 630, 32, 1293, 761, 32, 850, 346, 397, 415, 646, 1603, 81, 605, 44, 291, 630, 1114, 605, 280, 2149, 397, 813, 44, 291, 630, 1114, 605, 280, 16614, 32, 3013, 26, 1293, 81, 605, 27, 284, 2940, 3268, 30, 3124, 44, 8572, 630, 1114, 605, 280, 2149, 397, 5741, 32, 5691, 26146, 3817, 1603, 803, 32, 9606, 10071, 3107, 5556, 313, 3081, 1474, 44, 904, 101, 2113, 3124, 27, 284, 415, 313, 2386, 20, 646, 328, 630, 1114, 605, 44, 397, 630, 1114, 605, 1365, 2386, 1446, 280, 2149, 284, 415, 313, 1251, 20, 646, 328, 630, 1114, 605, 44, 397, 630, 1114, 605, 1365, 1251, 1446, 280, 2149, 284, 630, 1114, 3831, 81, 605, 280, 16614, 32, 15434, 26, 784, 1114, 605, 27, 334, 665, 9875, 26, 784, 30, 4870, 711, 284, 1201, 630, 32, 1293, 761, 284, 14300, 81, 599, 280, 16614, 32, 15434, 26, 784, 1114, 605, 27, 284, 415, 630, 1114, 3831, 81, 605, 610, 14300, 81, 599, 44, 397, 5741, 32, 2811, 440, 750, 9075, 1330, 1539, 30, 2258, 12793, 299, 2287, 803, 657, 397, 2322, 32, 303, 512, 26, 3607, 30, 1665, 27, 397, 442, 284, 9899, 280, 8745, 32, 47196, 26, 3607, 30, 656, 706, 47, 15665, 81, 599, 30, 656, 1406, 1821, 47, 2304, 32, 4631, 974, 30, 4230, 47, 2700, 27, 284, 630, 32, 1293, 761, 280, 2322, 32, 2995, 1676, 26, 2995, 30, 313, 105, 36998, 334, 665, 11910, 26, 784, 711, 284, 1201, 630, 32, 1293, 761, 284, 630, 32, 1293, 761, 32, 2679, 346, 284, 630, 32, 1293, 761, 280, 1665, 334, 665, 1390, 1212, 14198, 779, 26, 784, 30, 636, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 3, 3, 4, 4, 4, 4, 0, 3, 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, 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, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 8, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 6, 2, 2, 3, 3, 3, 7, 8, 8, 7, 8, 8, 8, 8, 7, 3, 3, 4, 5, 6, 6, 4, 4, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 8, 5, 5, 6, 2, 2, 3, 5, 6, 6, 5, 6, 6, 6, 6, 5, 5, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 5, 5, 5, 9, 9, 8, 8, 11, 12, 12, 10, 11, 10, 6, 6, 7, 8, 9, 9, 7, 7, 7, 11, 12, 10, 10, 7, 7, 8, 8, 8, 12, 13, 11, 11, 13, 14, 13, 14, 14, 14, 13, 5, 5, 6, 6, 6, 6, 6, 6, 10, 11, 9, 9, 7, 7, 10, 11, 10, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 10, 10, 4, 4, 5, 8, 8, 6, 6, 6, 7, 8, 5, 5, 5, 10, 11, 9, 11, 11, 8, 8, 4, 4, 5, 8, 8, 6, 6, 6, 7, 8, 5, 5, 5, 10, 11, 9, 11, 11, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 9, 10, 8, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 9, 10, 8, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 7, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 10, 9, 10, 9, 9, 9, 6, 6, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 9, 11, 10, 11, 11, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 9, 8, 8, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 7, 4, 4, 8, 9, 9, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 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, 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, 1, 1, 2, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 3, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 5, 5, 1, 4, 4, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 4, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 0, 0, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 4, 4, 3, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 0, 2, 0, 1, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 5, 0, 2, 2, 2, 1, 1, 7, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 4, 4, 0, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2 ]
[ 9592, 203, 10581, 308, 53, 27, 225, 36, 34, 35, 37, 9041, 34956, 6355, 4317, 3367, 12903, 11924, 32, 203, 9592, 203, 9592, 203, 2272, 438, 322, 2297, 688, 7367, 6364, 9332, 4442, 32, 203, 3021, 358, 21732, 44, 203, 1318, 4736, 438, 3664, 10061, 32, 203, 50, 2116, 44, 394, 3746, 1099, 807, 1679, 7779, 203, 50, 1648, 44, 225, 35, 32, 34, 203, 9592, 203, 589, 1245, 81, 17645, 723, 26, 4073, 30, 8191, 30, 880, 302, 1208, 711, 284, 5881, 284, 29439, 436, 35694, 723, 1991, 562, 4438, 821, 9399, 3193, 32, 284, 477, 753, 4082, 44, 322, 4082, 1300, 284, 477, 753, 8191, 44, 322, 1411, 8191, 284, 477, 753, 880, 302, 1208, 44, 322, 5403, 3377, 284, 5881, 284, 4082, 32, 2811, 14969, 6545, 299, 1411, 330, 474, 8191, 474, 330, 26392, 284, 415, 880, 302, 1208, 863, 1665, 461, 2069, 26, 568, 302, 1208, 32, 3028, 1157, 848, 225, 34, 44, 291, 3896, 2007, 280, 13198, 1612, 3377, 710, 291, 436, 308, 93, 30, 104, 27, 328, 880, 302, 1208, 32, 3028, 2262, 324, 3896, 2007, 1454, 308, 466, 26, 93, 27, 474, 25487, 474, 596, 26, 104, 27, 474, 5769, 11134, 291, 3896, 2007, 1454, 330, 3212, 25, 291, 4082, 32, 2811, 26, 9719, 2007, 27, 203, 589, 1245, 81, 4775, 26, 4073, 30, 8191, 30, 880, 14102, 711, 284, 5881, 284, 29439, 436, 4323, 645, 562, 4438, 821, 9399, 3193, 32, 284, 477, 753, 4082, 44, 322, 4082, 1300, 284, 477, 753, 8191, 44, 322, 1411, 8191, 284, 477, 753, 880, 14102, 44, 322, 4684, 372, 442, 284, 5881, 284, 4082, 32, 2811, 14969, 8112, 299, 1411, 330, 474, 8191, 474, 330, 26392, 284, 415, 880, 14102, 863, 1665, 461, 2069, 26, 568, 14102, 27, 848, 225, 34, 44, 291, 4082, 32, 2811, 14969, 2301, 3395, 330, 474, 596, 26, 568, 14102, 27, 474, 330, 26392, 203, 589, 1245, 81, 3893, 26, 4073, 30, 8191, 30, 484, 711, 284, 5881, 284, 23010, 3756, 821, 7893, 3193, 32, 284, 477, 753, 4082, 44, 322, 4082, 1300, 284, 477, 753, 8191, 44, 322, 1411, 8191, 284, 477, 753, 484, 44, 322, 1048, 284, 5881, 284, 4082, 32, 731, 14969, 924, 328, 1411, 330, 474, 8191, 474, 14589, 13565, 330, 474, 596, 26, 87, 27, 474, 330, 26392, 284, 442, 484, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 6, 5, 9, 9, 9, 9, 7, 7, 6, 6, 8, 2, 2, 3, 6, 6, 5, 5, 4, 4, 7, 10, 10, 10, 9, 10, 9, 5, 5, 6, 3, 3, 3, 7, 6, 6, 8, 8, 8, 4, 4, 5, 7, 6, 7, 6, 5, 5, 8, 8, 7, 8, 7, 5, 5, 9, 8, 8, 14, 14, 15, 14, 12, 12, 11, 11, 13, 14, 13, 10, 10, 12, 4, 4, 7, 6, 6, 8, 8, 4, 4, 7, 8, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 6, 5, 9, 9, 9, 9, 7, 7, 6, 6, 8, 2, 2, 3, 6, 5, 5, 4, 4, 7, 8, 8, 7, 5, 5, 6, 3, 3, 3, 7, 8, 7, 11, 11, 11, 9, 9, 11, 12, 12, 11, 8, 8, 10, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 6, 5, 11, 11, 11, 11, 9, 9, 8, 8, 10, 10, 7, 7, 9, 10, 9, 6, 6, 8, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 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, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 0, 3, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 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, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 4, 4, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9441, 687, 280, 5881, 203, 589, 13296, 520, 447, 3349, 81, 45770, 81, 45770, 301, 284, 47537, 816, 95, 696, 30, 816, 95, 696, 30, 816, 95, 696, 95, 284, 47537, 18113, 90, 30, 18113, 90, 30, 18113, 10663, 203, 1255, 203, 589, 13296, 520, 447, 3349, 81, 45770, 81, 63, 301, 284, 47991, 273, 35, 30, 7476, 30, 309, 930, 30, 24590, 30, 706, 1250, 47, 302, 108, 284, 456, 1479, 98, 1044, 4426, 35, 30, 7476, 30, 428, 35, 30, 273, 34, 30, 273, 35, 614, 706, 1250, 47, 42, 284, 456, 1479, 98, 1044, 4426, 36, 30, 7476, 30, 428, 35, 30, 273, 34, 30, 273, 35, 614, 225, 42, 30, 706, 1250, 47, 42, 284, 47537, 816, 95, 696, 30, 816, 95, 696, 30, 1044, 4426, 35, 284, 47537, 18113, 90, 30, 18113, 90, 30, 1044, 4426, 36, 203, 1255, 203, 589, 13296, 520, 447, 3349, 81, 45770, 81, 66, 301, 284, 18940, 639, 273, 41, 284, 47991, 273, 35, 30, 7476, 30, 11318, 1001, 94, 30, 24590, 30, 706, 1250, 47, 302, 108, 284, 456, 1479, 98, 1044, 4426, 35, 30, 7476, 30, 428, 35, 30, 273, 34, 30, 273, 35, 614, 706, 1250, 47, 42, 284, 456, 1479, 98, 1044, 4426, 36, 30, 7476, 30, 428, 35, 30, 273, 34, 30, 273, 35, 614, 225, 42, 30, 706, 1250, 47, 42, 284, 47537, 816, 95, 696, 30, 816, 95, 696, 30, 1044, 4426, 35, 284, 47537, 18113, 90, 30, 18113, 90, 30, 1044, 4426, 36, 203, 1255, 203, 589, 13296, 520, 447, 3349, 64, 81, 45770, 81, 45770, 301, 284, 47537, 96, 816, 95, 696, 30, 816, 95, 696, 30, 816, 95, 696, 95, 284, 47537, 96, 18113, 90, 30, 18113, 90, 30, 18113, 10663, 203, 1255, 203, 589, 13296, 520, 447, 3349, 64, 81, 45770, 81, 63, 301, 284, 47991, 273, 35, 30, 7476, 30, 309, 930, 30, 24590, 30, 706, 1250, 47, 302, 108, 284, 456, 1479, 98, 1044, 4426, 35, 30, 7476, 30, 428, 35, 30, 273, 34, 30, 273, 35, 614, 706, 1250, 47, 42, 284, 456, 1479, 98, 1044, 4426, 36, 30, 7476, 30, 428, 35, 30, 273, 34, 30, 273, 35, 614, 225, 42, 30, 706, 1250, 47, 42, 284, 47537, 96, 816, 95, 696, 30, 816, 95, 696, 30, 1044, 4426, 35, 284, 47537, 96, 18113, 90, 30, 18113, 90, 30, 1044, 4426, 36, 203, 1255, 203, 589, 13296, 520, 447, 3349, 64, 81, 45770, 81, 66, 301, 284, 18940, 639, 273, 41, 284, 47991, 273, 35, 30, 7476, 30, 11318, 1001, 94, 30, 24590, 30, 706, 1250, 47, 302, 108, 284, 456, 1479, 98, 1044, 4426, 35, 30, 7476, 30, 428, 35, 30, 273, 34, 30, 273, 35, 614, 706, 1250, 47, 42, 284, 456, 1479, 98, 1044, 4426, 36, 30, 7476, 30, 428, 35, 30, 273, 34, 30, 273, 35, 614, 225, 42, 30, 706, 1250, 47, 42, 284, 47537, 96, 816, 95, 696, 30, 816, 95, 696, 30, 1044, 4426, 35, 284, 47537, 96, 18113, 90, 30, 18113, 90, 30, 1044, 4426, 36, 203, 1255, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11412, 203, 465, 2322, 203, 465, 18792, 203, 1270, 44, 284, 1188, 15798, 36, 619, 15798, 203, 7343, 29986, 44, 284, 1188, 15798, 203, 1070, 11412, 3773, 1188, 707, 1316, 104, 203, 50, 18986, 32, 5961, 2797, 26, 25931, 32, 5177, 37, 30, 313, 1337, 5420, 328, 4865, 225, 37, 7144, 203, 823, 2108, 14923, 17799, 3300, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 3310, 42, 26, 784, 711, 291, 623, 2156, 463, 7899, 33, 858, 81, 3310, 42, 32, 4700, 683, 619, 296, 44, 324, 6187, 280, 707, 1316, 104, 32, 14923, 17799, 3300, 26, 88, 30, 7328, 1057, 3310, 31, 42, 683, 324, 630, 32, 5299, 26, 1978, 26, 6308, 471, 2107, 83, 370, 330, 84, 370, 330, 85, 3490, 324, 630, 32, 5299, 26, 1978, 26, 6308, 471, 2107, 35, 370, 330, 36, 370, 330, 37, 3490, 324, 630, 32, 5299, 26, 1978, 26, 6308, 471, 2107, 38, 370, 330, 39, 370, 1044, 25, 151, 116, 3490, 284, 665, 894, 81, 23423, 35, 26, 784, 711, 291, 623, 2156, 463, 7899, 33, 858, 81, 23423, 35, 32, 4700, 683, 619, 296, 44, 324, 6187, 280, 707, 1316, 104, 32, 14923, 17799, 3300, 26, 88, 30, 7328, 1057, 23423, 35, 683, 324, 630, 32, 5299, 26, 1978, 26, 6308, 471, 2107, 83, 370, 330, 84, 370, 330, 85, 3490, 324, 630, 32, 5299, 26, 1978, 26, 6308, 471, 2107, 35, 370, 330, 36, 370, 330, 37, 3490, 324, 630, 32, 5299, 26, 1978, 26, 6308, 471, 2107, 38, 370, 330, 39, 370, 1044, 25, 143, 121, 3490, 284, 665, 894, 81, 3310, 35, 40, 81, 7380, 26, 784, 711, 291, 623, 2156, 463, 7899, 33, 858, 81, 3310, 35, 40, 81, 7380, 32, 4700, 683, 619, 296, 44, 324, 6187, 280, 707, 1316, 104, 32, 14923, 17799, 3300, 26, 88, 30, 7328, 1057, 3310, 31, 35, 40, 683, 324, 630, 32, 5299, 26, 1978, 26, 6308, 471, 2107, 83, 370, 330, 84, 370, 330, 85, 3490, 324, 630, 32, 5299, 26, 1978, 26, 6308, 471, 2107, 35, 370, 330, 36, 370, 330, 37, 3490, 324, 630, 32, 5299, 26, 1978, 26, 6308, 471, 2107, 38, 370, 330, 39, 370, 1044, 25, 151, 116, 3490, 284, 665, 894, 81, 3310, 35, 40, 81, 31935, 26, 784, 711, 291, 623, 2156, 463, 7899, 33, 858, 81, 3310, 35, 40, 81, 31935, 32, 4700, 683, 619, 296, 44, 324, 6187, 280, 707, 1316, 104, 32, 14923, 17799, 3300, 26, 88, 30, 7328, 1057, 3310, 31, 35, 40, 683, 324, 630, 32, 5299, 26, 1978, 26, 6308, 471, 2107, 83, 370, 330, 84, 370, 330, 85, 3490, 324, 630, 32, 5299, 26, 1978, 26, 6308, 471, 2107, 35, 370, 330, 36, 370, 330, 37, 3490, 324, 630, 32, 5299, 26, 1978, 26, 6308, 471, 2107, 38, 370, 330, 39, 370, 1044, 25, 151, 116, 3490, 203, 50, 18986, 32, 5961, 2797, 26, 25931, 32, 5177, 37, 30, 313, 1337, 5420, 328, 4865, 225, 37, 7144, 203, 823, 2108, 14923, 17799, 3976, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 3310 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 3, 1, 1, 3, 3, 0, 2, 5, 4, 5, 5, 4, 6, 5, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 5, 4, 5, 3, 2, 2, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 9, 6, 6, 6, 9, 9, 12, 12, 11, 12, 12, 12, 11, 12, 11, 11, 12, 14, 14, 14, 14, 7, 7, 10, 11, 10, 12, 12, 13, 12, 10, 13, 13, 11, 13, 13, 11, 13, 13, 7, 7, 10, 11, 10, 12, 12, 13, 12, 10, 13, 13, 11, 13, 13, 11, 13, 13, 7, 7, 10, 11, 10, 12, 12, 13, 12, 10, 13, 13, 11, 13, 13, 11, 13, 13, 13, 13, 10, 3, 4, 5, 5, 5, 5, 5, 6, 4, 4, 6, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 9, 11, 6, 6, 10, 9, 12, 12, 12, 11, 12, 12, 12, 11, 12, 11, 13, 14, 14, 14, 11, 7, 11, 10, 11, 10, 12, 12, 13, 10, 13, 13, 11, 13, 13, 11, 13, 13, 10, 7, 11, 10, 11, 10, 12, 12, 13, 10, 13, 13, 11, 13, 13, 11, 13, 13, 10, 7, 11, 10, 11, 10, 12, 12, 13, 10, 13, 13, 11, 13, 13, 11, 13, 13, 13, 13, 11, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 6, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 9, 11, 6, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 11, 12, 13, 12, 14, 14, 14, 14, 14, 7, 11, 11, 11, 11, 12, 12, 13, 12, 11, 13, 13, 11, 13, 13, 11, 13, 11, 7, 11, 11, 11, 11, 12, 12, 13, 12, 11, 13, 13, 11, 13, 13, 11, 13, 11, 7, 11, 11, 11, 11, 12, 12, 13, 12, 11, 13, 13, 11, 13, 13, 11, 13, 13, 13, 13, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 4, 6, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 9, 9, 6, 10, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 11, 13, 13, 14, 14, 14, 14, 14, 7, 11, 11, 11, 11, 12, 12, 13, 13, 10, 11, 13, 11, 11, 13, 11, 11, 13, 7, 11, 11, 11, 11, 12, 12, 13, 13, 10, 11, 13, 11, 11, 13, 11, 11, 13, 7, 11, 11, 11, 11, 12, 12, 13, 13, 10, 11, 13, 11, 11, 13, 11, 11, 11, 13, 13, 13, 11, 5, 5, 5, 5, 5, 4, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 3, 3, 3, 3, 3, 5, 5, 5, 5, 2, 2, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 3, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 3, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 0, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 3, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 3, 0, 1, 3, 0, 1, 1, 3, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 3, 0, 1, 3, 0, 1, 1, 3, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 3, 0, 1, 3, 0, 0, 0, 1, 3, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 3, 1, 1, 1, 1, 2, 3, 0, 0, 2, 2, 0, 0, 1, 1, 3, 0, 2, 3, 0, 2, 3, 0, 3, 3, 0, 0, 2, 2, 0, 0, 1, 1, 3, 0, 2, 3, 0, 2, 3, 0, 3, 3, 0, 0, 2, 2, 0, 0, 1, 1, 3, 0, 2, 3, 0, 2, 3, 0, 0, 0, 2, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 0, 0, 1, 1, 1, 3, 1, 3, 3, 1, 3, 3, 2, 3, 0, 0, 2, 2, 0, 0, 1, 1, 1, 3, 1, 3, 3, 1, 3, 3, 2, 3, 0, 0, 2, 2, 0, 0, 1, 1, 1, 3, 1, 3, 3, 1, 3, 3, 3, 0, 1, 2, 3, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1 ]
[ 465, 5237, 203, 1070, 3619, 10201, 1188, 4558, 30, 17195, 1222, 203, 1070, 3619, 10201, 32, 2602, 32, 2592, 1188, 617, 452, 81, 4948, 30, 617, 452, 81, 1859, 81, 2592, 203, 505, 464, 505, 280, 3037, 1669, 392, 313, 1669, 2710, 1446, 203, 589, 617, 452, 81, 1859, 81, 8221, 26, 8221, 711, 284, 2197, 280, 17195, 1222, 1114, 2480, 81, 10201, 81, 1819, 284, 415, 2069, 26, 8221, 27, 610, 225, 35, 461, 6937, 26, 8221, 77, 34, 614, 1149, 711, 291, 14342, 280, 14342, 77, 34, 79, 284, 442, 617, 452, 81, 4948, 26, 545, 30, 14342, 30, 617, 452, 81, 1859, 81, 2592, 27, 203, 823, 12012, 26, 1473, 711, 284, 617, 18644, 81, 4683, 81, 10129, 280, 25298, 35, 1264, 225, 40, 37, 27, 10065, 617, 18644, 81, 3459, 81, 10129, 280, 308, 35, 1264, 225, 40, 37, 27, 429, 225, 35, 10065, 617, 21320, 1345, 1392, 81, 29520, 280, 1769, 3736, 3731, 32, 1449, 891, 30, 617, 18644, 81, 4683, 81, 10129, 27, 284, 617, 38037, 1392, 81, 29520, 280, 1847, 26, 3731, 32, 1449, 891, 30, 617, 18644, 81, 3459, 81, 10129, 27, 284, 707, 28959, 2626, 3870, 299, 280, 617, 18644, 81, 4683, 81, 10129, 284, 707, 28959, 34054, 280, 617, 18644, 81, 3459, 81, 10129, 284, 1550, 2352, 280, 225, 34, 284, 477, 16099, 284, 477, 8119, 26, 35, 32, 38, 27, 284, 665, 9778, 1083, 2740, 8221, 711, 291, 2197, 280, 17195, 1222, 1114, 2480, 81, 10201, 81, 1819, 291, 594, 2285, 280, 2197, 1114, 23505, 32, 1088, 32, 2104, 32, 10201, 32, 2602, 32, 23483, 32, 1669, 32, 11458, 1083, 2176, 452, 81, 1859, 81, 8221, 26, 8221, 490, 291, 442, 12012, 2710, 26, 754, 897, 27, 284, 477, 16099, 284, 477, 8119, 26, 35, 32, 38, 27, 284, 665, 33008, 2740, 8221, 711, 291, 2197, 280, 17195, 1222, 1114, 2480, 81, 10201, 81, 1819, 291, 594, 2285, 280, 2197, 1114, 23505, 32, 1088, 32, 2104, 32, 10201, 32, 2602, 32, 23483, 32, 1669, 32, 14405, 2176, 452, 81, 1859, 81, 8221, 26, 8221, 490, 291, 442, 12012, 2710, 26, 754, 897, 27, 284, 477, 16099, 284, 665, 5760, 16170, 26, 1366, 30, 943, 711, 291, 415, 1477, 2511, 12012, 1114, 21320, 1345, 1392, 81, 29520, 44, 324, 1477, 280, 12012, 32, 311, 28959, 2626, 3870, 299, 291, 415, 943, 2377, 12012, 1114, 38037, 1392, 81, 29520, 44, 324, 943, 280, 12012, 32, 311, 28959, 34054, 291, 2197, 280, 17195, 1222, 1114, 2480, 81, 10201, 81, 1819, 291, 594, 2285, 280, 2197, 1114, 23505, 32, 1088, 32, 2104, 32, 10201, 32, 2602, 32, 23483, 32, 1669, 32, 2138, 16170, 26, 1366, 30, 943, 27, 291, 442, 12012, 2710, 26, 754, 897, 27, 284, 477, 16099, 284, 665, 2155, 16170, 26, 1366, 30, 943, 711, 291, 415, 1477, 2511, 12012, 1114, 21320, 1345, 1392, 81, 29520, 44, 324, 1477, 280, 12012, 32, 311, 28959, 2626, 3870, 299, 291, 415, 943, 2377, 12012, 1114, 38037, 1392, 81, 29520, 44, 324, 943, 280, 12012, 32, 311, 28959, 34054, 291, 2197, 280, 17195, 1222, 1114 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 5, 6, 6, 6, 6, 6, 2, 2, 3, 7, 8, 7, 5, 5, 6, 4, 4, 6, 8, 7, 8, 7, 6, 6, 3, 3, 6, 6, 7, 8, 7, 2, 2, 3, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 8, 7, 7, 8, 8, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 8, 7, 7, 8, 8, 6, 5, 5, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 9, 8, 9, 9, 6, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 8, 7, 8, 8, 6, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 5, 2, 2, 5, 3, 3, 6, 6, 7, 7, 7, 6, 3, 3, 4, 5, 5, 7, 5, 4, 4, 7, 7, 9, 8, 9, 9, 9, 9, 9, 5, 5, 8, 7, 7, 16, 17, 15, 16, 14, 15, 13, 14, 12, 13, 11, 12, 10, 11, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 12, 11, 5, 5, 6, 8, 8, 9, 9, 8, 2, 2, 5, 3, 3, 6, 6, 7, 7, 7, 6, 3, 3, 4, 5, 7, 5, 4, 4, 7, 7, 9, 8, 9, 9, 9, 9, 9, 5, 5, 8, 7, 7, 16, 17, 15, 16, 14, 15, 13, 14, 12, 13, 11, 12, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 12, 11, 5, 5, 6, 8, 8, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 6, 7, 7, 8, 9, 9, 9, 9, 9, 6, 6, 6, 9, 9, 10, 11, 11, 11, 11, 11, 5, 5, 6, 7, 7, 8, 9, 9, 9, 9, 6, 6, 6, 9, 9, 10, 11, 11, 11, 5, 5, 7, 7, 9, 8, 9, 9, 9, 9, 9, 5, 5, 8, 7, 7, 16, 17, 15, 16, 14, 15, 13, 14, 12, 13, 11, 12, 10, 11, 9, 10, 10, 9, 10, 9, 9, 9, 5, 5, 6, 8, 8, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 6, 7, 7, 8, 9, 9, 9, 9, 9, 6, 6, 6, 9, 9, 10, 11, 11, 11, 11, 11, 5, 5, 6, 7, 7, 8, 9, 9, 9, 9, 6, 6, 6, 9, 9, 10, 11, 11, 11, 5, 5, 7, 7, 9, 8 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 4, 4, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 1, 0, 5, 5, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 4, 4, 1, 7, 7, 0, 1, 1, 1, 1, 1, 7, 7, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 0, 1, 1, 1, 1, 4, 4, 1, 8, 8, 0, 1, 1, 1, 1, 1, 8, 8, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 0, 1, 1, 1, 1, 4, 4, 1, 9, 9, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 4, 4, 1, 10, 10, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2 ]
[ 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 4262, 81, 36, 81, 9941, 81, 14600, 203, 823, 20671, 26, 3378, 32, 1243, 711, 284, 4755, 280, 4549, 32, 13343, 463, 12095, 32, 7294, 370, 5886, 81, 426, 347, 2300, 81, 11507, 657, 284, 1780, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 27, 284, 1780, 36, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 30, 9541, 81, 426, 347, 23259, 636, 657, 284, 3272, 280, 4549, 32, 36172, 346, 284, 665, 894, 81, 1070, 81, 1160, 26, 784, 711, 291, 442, 313, 24696, 20, 284, 665, 894, 81, 1070, 81, 1160, 81, 1793, 81, 7106, 26, 784, 711, 291, 442, 313, 24696, 20, 284, 894, 81, 1070, 81, 1160, 81, 1793, 81, 7106, 32, 4021, 81, 2310, 280, 313, 1206, 6180, 844, 9177, 20, 203, 50, 2958, 81, 36, 81, 9941, 81, 14600, 203, 823, 9618, 26, 3378, 32, 1243, 711, 284, 1929, 280, 4549, 32, 17991, 12470, 30400, 346, 284, 2935, 280, 4549, 32, 13343, 463, 784, 370, 744, 47, 1815, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 18792, 32, 878, 81, 681, 26, 784, 32, 1516, 27, 203, 823, 3903, 26, 3378, 32, 1243, 711, 284, 2340, 280, 4549, 32, 36172, 26, 2837, 81, 2174, 81, 669, 47, 1815, 27, 203, 823, 10634, 26, 3378, 32, 1243, 711, 284, 1692, 280, 4549, 32, 3582, 23468, 1176, 26, 1151, 30, 9541, 81, 426, 1057, 11871, 1692, 683, 203, 823, 48333, 26, 3378, 32, 1243, 711, 284, 1692, 280, 4549, 32, 3582, 23468, 1176, 26, 1151, 27, 284, 636, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 27, 284, 443, 11985, 44, 291, 9541, 81, 426, 280, 313, 11871, 21578, 20, 203, 823, 3903, 15757, 26, 3378, 32, 1243, 711, 284, 1692, 280, 4549, 32, 13343, 26, 1151, 30, 544, 81, 2560, 47, 3378, 32, 1680, 81, 44472, 1392, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 8, 8, 7, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 8, 8, 7, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 0, 2, 3, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 5, 4, 5, 3, 2, 2, 5, 5, 7, 8, 8, 8, 7, 3, 3, 5, 5, 7, 8, 7, 9, 9, 7, 8, 9, 7, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 7, 8, 6, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 7, 6, 6, 8, 8, 7, 9, 9, 9, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 6, 8, 8, 7, 9, 8, 9, 9, 9, 9, 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 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 5, 5, 2, 0, 1, 2, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 6, 6, 2, 0, 1, 2, 2, 6, 6, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 2, 0, 7, 7, 2, 0, 1, 2, 2, 7, 7, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 8, 8, 1, 2, 0, 1, 2, 2, 8, 8, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 465, 11685, 203, 465, 6436, 619, 2065, 203, 1070, 18414, 32, 15378, 1188, 29988, 81, 4873, 203, 1070, 4377, 2304, 1188, 1505, 81, 23054, 81, 1322, 203, 1070, 4377, 2304, 1188, 2623, 81, 271, 81, 35, 86, 30, 1505, 81, 955, 203, 1070, 4377, 2304, 32, 7740, 295, 386, 1188, 827, 81, 1028, 81, 1977, 203, 1070, 4377, 2304, 32, 29678, 1188, 438, 2679, 203, 1070, 4377, 2304, 32, 29678, 1188, 7395, 998, 203, 1070, 4377, 2304, 32, 5136, 1188, 11263, 605, 203, 1070, 4377, 2304, 32, 15378, 22495, 1188, 2385, 81, 38094, 203, 1070, 638, 1439, 1188, 617, 14298, 81, 7003, 81, 5020, 203, 1070, 638, 1439, 1188, 36649, 9141, 5711, 203, 589, 45158, 26, 106, 30, 533, 30, 48864, 47, 2700, 711, 284, 1505, 81, 23054, 81, 1322, 26, 106, 30, 533, 27, 284, 816, 280, 2623, 81, 271, 81, 35, 86, 26, 106, 27, 284, 533, 280, 2623, 81, 271, 81, 35, 86, 26, 107, 27, 284, 415, 816, 32, 3229, 77, 34, 79, 333, 225, 36, 44, 291, 3636, 10091, 463, 1076, 6225, 225, 36, 4981, 884, 5349, 372, 7596, 25, 656, 330, 5951, 1531, 14486, 30, 1273, 816, 32, 3229, 280, 904, 101, 25, 904, 816, 32, 3229, 27, 284, 6983, 280, 225, 35, 284, 415, 48864, 44, 291, 2532, 280, 2065, 32, 1909, 3323, 1162, 107, 30, 816, 490, 291, 816, 30, 533, 280, 816, 77, 1174, 614, 533, 77, 1174, 79, 284, 813, 44, 291, 12211, 280, 2065, 32, 4903, 26, 106, 27, 291, 415, 2065, 32, 1813, 26, 4582, 333, 225, 34, 711, 324, 415, 2065, 32, 464, 26, 4582, 2511, 225, 34, 711, 400, 6983, 280, 429, 35, 324, 813, 44, 400, 3636, 10091, 440, 435, 24576, 438, 646, 21175, 544, 30, 461, 313, 768, 313, 1382, 816, 1417, 438, 646, 23647, 44, 904, 101, 20, 904, 816, 27, 284, 5951, 280, 6983, 319, 2065, 32, 17770, 108, 26, 107, 30, 816, 27, 284, 442, 5951, 203, 589, 10858, 81, 15144, 81, 5020, 26, 107, 81, 1508, 30, 533, 81, 5020, 30, 10858, 347, 10546, 392, 1014, 3964, 81, 3292, 47, 2521, 711, 284, 665, 617, 7003, 81, 14298, 81, 15144, 26, 107, 81, 1508, 30, 533, 81, 5020, 30, 3964, 81, 3292, 47, 2521, 711, 291, 12485, 30, 27487, 30, 45888, 280, 12485, 81, 32159, 81, 15617, 26, 324, 533, 81, 1508, 30, 533, 81, 5020, 30, 3964, 81, 3292, 47, 3287, 81, 3292, 27, 291, 442, 45158, 26, 32159, 30, 12485, 27, 284, 442, 617, 14298, 81, 7003, 81, 5020, 2176, 7003, 81, 14298, 81, 15144, 30, 533, 81, 1508, 30, 533, 81, 5020, 30, 768, 10858, 30, 3964, 81, 3292, 47, 3287, 81, 3292, 27, 203, 589, 35848, 81, 26473, 81, 5020, 26, 107, 81, 1508, 30, 533, 81, 5020, 30, 10858, 347, 10546, 392, 3964, 81, 3292, 47, 2521, 711, 284, 665, 617, 7003, 81, 23299, 81, 26473, 81, 5020, 26, 107, 81, 1508, 30, 533, 81, 5020, 30, 3964, 81, 3292, 47, 2521, 711, 291, 415, 2069, 26, 2356, 32, 5665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 0, 1, 1, 4, 3, 4, 1, 1, 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, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 6, 5, 5, 5, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 3, 6, 7, 5, 6, 5, 4, 4, 5, 3, 3, 3, 5, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 10, 7, 2, 2, 4, 4, 5, 2, 2, 3, 3, 3, 3, 6, 6, 8, 9, 9, 8, 10, 9, 9, 9, 4, 4, 7, 7, 6, 6, 8, 9, 8, 7, 8, 9, 8, 3, 3, 4, 4, 4, 7, 7, 9, 10, 9, 10, 9, 5, 5, 6, 8, 9, 8, 10, 9, 9, 10, 8, 6, 6, 8, 10, 11, 10, 12, 11, 11, 12, 10, 8, 8, 11, 11, 13, 8, 8, 9, 9, 9, 11, 13, 17, 17, 17, 17, 17, 17, 17, 17, 17, 15, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 14, 14, 13, 2, 2, 4, 4, 5, 5, 7, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 5, 5, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 10, 10, 9, 10, 10, 10, 8, 4, 4, 5, 7, 8, 7, 7, 7, 2, 2, 3, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 5, 5, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 8, 11, 10, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 10, 10, 0, 1, 2, 2, 10, 10, 0, 0, 0, 11, 11, 0, 11, 11, 0, 0, 0, 0, 0, 0, 12, 12, 0, 12, 12, 0, 0, 0, 13, 13, 2, 1, 2, 2, 2, 2, 5, 2, 2, 13, 13, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 0, 2, 0, 2, 0, 1, 1, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 2, 4, 4, 5, 5, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 5, 5, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 7, 0, 14, 14, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 1, 2, 2, 2, 0, 0, 7, 2, 2, 14, 14, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 1, 1, 0, 0, 9, 2, 2, 2, 1, 0, 15, 15, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 1, 2, 2, 0, 0, 7, 2, 2, 15, 15, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 0, 0, 0, 1, 0, 0, 2 ]
[ 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 8538, 1188, 2680, 12608, 1241, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 40075, 203, 1070, 13077, 32, 3378, 1188, 2680, 203, 823, 2680, 11512, 1241, 26, 1240, 12608, 1241, 711, 284, 31125, 1781, 81, 1319, 20793, 11276, 19419, 280, 428, 291, 330, 19264, 370, 330, 34516, 370, 330, 5686, 370, 330, 21570, 370, 330, 12911, 370, 330, 45415, 370, 291, 330, 48426, 370, 330, 22749, 370, 330, 903, 385, 370, 330, 16202, 370, 330, 22124, 370, 330, 13774, 25, 284, 1481, 284, 31125, 1781, 81, 15916, 11980, 280, 1149, 26, 23053, 26, 22846, 81, 1319, 20793, 11276, 19419, 30, 225, 35, 490, 284, 44527, 81, 15916, 11980, 280, 10440, 91, 30, 595, 27, 436, 595, 328, 2155, 26, 36, 34, 35, 41, 30, 225, 36, 34, 37, 42, 2177, 284, 18990, 81, 2294, 81, 2171, 280, 10548, 32, 16357, 26, 1172, 1057, 18068, 10427, 5104, 683, 284, 6677, 104, 280, 10548, 32, 16357, 26, 1172, 1057, 5188, 4402, 308, 8155, 72, 19188, 284, 31027, 81, 5904, 280, 10548, 32, 13860, 1176, 26, 1172, 347, 7357, 392, 16682, 47, 22846, 81, 15916, 11980, 27, 284, 31027, 81, 4548, 280, 10548, 32, 13860, 1176, 26, 1172, 347, 6617, 392, 16682, 47, 23164, 81, 15916, 11980, 27, 284, 38142, 81, 314, 280, 10548, 32, 16357, 26, 3854, 47, 8538, 32, 13769, 1612, 27, 284, 3882, 35, 280, 10548, 32, 16357, 26, 291, 2266, 1057, 4049, 370, 291, 6852, 47, 8538, 32, 4049, 1612, 284, 829, 284, 3882, 36, 280, 10548, 32, 16357, 26, 291, 2266, 1057, 4049, 25516, 367, 370, 291, 6852, 47, 8538, 32, 4049, 1612, 284, 829, 284, 443, 11985, 44, 291, 1542, 280, 2680, 291, 3829, 280, 2107, 1935, 370, 330, 2895, 35, 370, 330, 2895, 36, 370, 330, 21373, 81, 314, 785, 291, 11246, 280, 2107, 699, 785, 284, 665, 5063, 81, 2895, 36, 26, 784, 711, 291, 3882, 35, 280, 630, 32, 32854, 81, 605, 32, 371, 463, 2895, 35, 683, 291, 3882, 36, 280, 630, 32, 32854, 81, 605, 32, 371, 463, 2895, 36, 683, 291, 415, 3882, 35, 461, 3882, 36, 461, 3882, 35, 863, 3882, 36, 44, 324, 1474, 280, 313, 4049, 101, 745, 646, 2530, 20, 324, 3636, 40075, 26, 1436, 27, 291, 442, 3882, 36, 284, 665, 4131, 26, 784, 30, 4583, 47, 1815, 711, 291, 1980, 280, 2599, 26, 1240, 11512, 1241, 30, 630, 547, 2853, 26, 3375, 47, 2700, 27, 291, 1980, 32, 699, 280, 1980, 32, 1935, 291, 415, 4583, 44, 324, 1980, 32, 2853, 346, 291, 442, 1980, 203, 823, 2680, 5324, 1241, 26, 8538, 32, 1241, 711, 284, 4096, 280, 10548, 32, 4477, 1176, 346, 284, 3882, 280, 10548, 32, 16357, 26, 3854, 47, 8538, 32, 4049, 1612, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 8, 8, 9, 9, 9, 9, 9, 9, 8, 8, 9, 8, 2, 2, 5, 5, 5, 4, 4, 7, 6, 6, 6, 5, 6, 6, 6, 8, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 2, 2, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 8, 7, 9, 9, 6, 7, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 8, 7, 9, 9, 6, 7, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 8, 9, 9, 6, 2, 2, 5, 4, 4, 6, 7, 6, 6, 6, 7, 9, 9, 6, 6, 7, 9, 8, 9, 9, 6, 6, 2, 2, 5, 4, 4, 6, 7, 6, 6, 6, 7, 9, 9, 9, 9, 6, 6, 7, 9, 8, 9, 9, 6, 6, 2, 2, 3, 3, 3, 3, 6, 6, 4, 4, 6, 6, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 6, 6, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 10, 10, 10, 8, 9, 8, 10, 10, 10, 4, 4, 7, 6, 6, 9, 10, 10, 10, 8, 9, 8, 10, 10, 10, 4, 4, 5, 8, 7, 7, 8, 6, 6, 8, 7, 7, 8, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 6, 6, 7, 9, 10, 9, 4, 4, 5, 6, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 10, 11, 11, 11, 10, 10, 10, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 5, 5, 5, 5, 9, 10, 9, 4, 4, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 8, 9, 9, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 3, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 3, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 2, 2, 2, 1, 1, 4, 4, 10, 10, 10, 10, 0, 0, 3, 3, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 3, 0, 0, 1, 2, 4, 4, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 4, 4, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 4, 4, 3, 1, 4, 4, 12, 2, 1, 2, 2, 3, 2, 2, 12, 12, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 2, 2, 2, 2, 0, 2, 1, 4, 4, 3, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 36387, 203, 465, 1133, 203, 1070, 3312, 32, 8524, 1188, 15798, 203, 1070, 36387, 32, 735, 36, 32, 342, 84, 1188, 10531, 52, 2798, 203, 465, 36387, 32, 735, 36, 32, 342, 84, 203, 823, 10531, 52, 2798, 1006, 26, 18986, 32, 7233, 711, 284, 11040, 36, 280, 2933, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 3781, 280, 10531, 52, 2798, 346, 291, 630, 32, 426, 280, 330, 342, 84, 31, 2195, 97, 31, 2243, 31, 858, 25, 291, 630, 32, 23724, 81, 20840, 280, 2107, 352, 31, 14623, 31, 35, 83, 785, 291, 630, 32, 21299, 280, 10440, 42, 34, 30, 225, 42, 34, 34, 34, 30, 330, 5068, 12357, 291, 630, 32, 30626, 280, 630, 32, 3781, 32, 1297, 81, 944, 81, 30626, 26, 324, 630, 32, 426, 30, 630, 32, 23724, 81, 20840, 30, 630, 32, 21299, 27, 291, 630, 32, 101, 37, 280, 36387, 32, 3517, 81, 101, 37, 346, 291, 630, 32, 5561, 280, 596, 26, 410, 26, 1003, 32, 1003, 5156, 291, 630, 32, 6452, 81, 426, 280, 330, 2195, 97, 31, 342, 84, 9299, 101, 25, 904, 630, 32, 5561, 291, 630, 32, 6452, 280, 630, 32, 101, 37, 32, 1297, 81, 6452, 26, 784, 32, 6452, 81, 426, 27, 291, 630, 32, 6452, 32, 470, 81, 85, 12345, 81, 12402, 463, 923, 31, 850, 31, 1821, 683, 291, 630, 32, 669, 20253, 26, 784, 32, 15276, 81, 6452, 30, 630, 32, 6452, 27, 284, 665, 13144, 81, 6452, 26, 784, 30, 8105, 711, 291, 436, 1202, 328, 8105, 32, 371, 81, 464, 81, 3494, 2262, 324, 1202, 32, 2560, 346, 291, 8105, 32, 2560, 346, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 30626, 32, 2560, 346, 284, 665, 894, 81, 1832, 81, 668, 81, 2132, 26, 784, 711, 291, 2803, 280, 2149, 291, 630, 32, 3781, 32, 1832, 81, 668, 81, 2132, 26, 324, 2803, 30, 2107, 1944, 35, 370, 330, 1944, 36, 370, 330, 1944, 37, 2188, 330, 22175, 558, 23, 86, 683, 291, 2799, 81, 2132, 280, 301, 324, 330, 22175, 558, 35, 950, 330, 1944, 35, 370, 324, 330, 22175, 558, 36, 950, 330, 1944, 36, 370, 324, 330, 22175, 558, 37, 950, 330, 1944, 37, 25, 291, 320, 291, 630, 32, 5299, 26, 2132, 30, 2799, 81, 2132, 27, 284, 665, 894, 81, 1297, 81, 944, 81, 30626, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 30626, 32, 426, 30, 630, 32, 426, 27, 291, 630, 32, 5299, 26, 784, 32, 30626, 32, 23724, 81, 20840, 30, 656, 630, 32, 23724, 81, 20840, 27, 291, 630, 32, 5299, 26, 784, 32, 30626, 32, 21299, 30, 630, 32, 21299, 27, 291, 14699, 38387, 280, 630, 32, 3781, 32, 371, 81, 464, 81, 944, 81, 9922, 38387, 346, 291, 630, 32, 5299, 2009, 8902, 32, 426, 436, 21652, 328, 14699, 38387, 614, 428, 784, 32, 426, 1130, 284, 665, 894, 81, 1297, 81, 944, 81, 30626, 81, 21299, 26, 784, 711, 291, 1829, 81, 21299, 280, 10440, 38, 38, 37, 30, 225, 42, 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, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 9, 9, 8, 8, 9, 9, 9, 9, 8, 8, 10, 10, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 8, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 10, 10, 13, 12, 13, 12, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 4, 4, 7, 8, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 8, 8, 8, 8, 8, 7, 5, 5, 9, 10, 9, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 8, 10, 10, 10, 7, 9, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 8, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 9, 9, 7, 7, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 7, 7, 8, 9, 7, 4, 4, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 9, 9, 10, 8, 7, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 9, 8, 8, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 2, 1, 4, 4, 3, 3, 0, 0, 0, 4, 4, 1, 2, 2, 1, 4, 4, 0, 5, 5, 1, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 0, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 3, 1, 1, 0, 1, 2, 3, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 2958, 32, 1580, 1188, 3523, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 22508, 81, 6800, 619, 22508, 81, 6800, 81, 1356, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 22508, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 669, 81, 15378, 81, 452, 81, 34471, 81, 1110, 280, 22508, 81, 4156, 1114, 669, 81, 15378, 81, 452, 81, 34471, 81, 1110, 203, 669, 81, 11374, 81, 15378, 81, 452, 81, 34471, 81, 1110, 280, 22508, 81, 4156, 1114, 669, 81, 11374, 81, 15378, 81, 452, 81, 34471, 81, 1110, 203, 11814, 81, 11374, 81, 15378, 81, 1070, 81, 34471, 81, 1110, 280, 308, 284, 22508, 81, 4156, 1114, 11814, 81, 11374, 81, 15378, 81, 1070, 81, 34471, 81, 1110, 27, 203, 823, 35797, 70, 11849, 1208, 1006, 26, 858, 32, 7233, 711, 334, 665, 617, 19763, 7929, 18390, 26, 784, 30, 9710, 47, 2521, 711, 284, 415, 9710, 438, 1665, 44, 397, 9710, 280, 343, 2516, 32, 410, 37, 36, 284, 442, 22508, 81, 6800, 81, 1356, 32, 19763, 7929, 26, 291, 1417, 81, 4156, 32, 10335, 26, 48507, 32, 410, 40, 38, 471, 291, 1417, 81, 4156, 32, 10335, 26, 12010, 471, 1417, 81, 4156, 32, 10335, 26, 48507, 32, 410, 40, 38, 490, 334, 665, 617, 19763, 7929, 882, 81, 39, 106, 40, 26, 784, 30, 38151, 711, 284, 4842, 280, 2065, 32, 955, 21145, 34, 30, 225, 34, 614, 428, 35, 30, 225, 34, 614, 428, 35, 30, 225, 37, 614, 428, 35, 30, 225, 38, 614, 428, 37, 30, 225, 36, 614, 528, 428, 37, 30, 225, 37, 3212, 547, 15315, 26, 2356, 32, 410, 40, 38, 27, 284, 909, 280, 2065, 32, 955, 2009, 34, 30, 225, 35, 34, 30, 225, 35, 37, 30, 225, 35, 38, 30, 225, 37, 36, 30, 225, 37, 37, 8492, 15315, 26, 2356, 32, 410, 37, 36, 27, 284, 4842, 280, 4842, 77, 40237, 79, 284, 909, 280, 909, 77, 40237, 79, 284, 6024, 280, 2065, 32, 955, 2009, 39, 30, 225, 40, 8492, 15315, 26, 2356, 32, 410, 40, 38, 27, 284, 442, 22508, 81, 6800, 81, 1356, 32, 19763, 7929, 882, 26, 552, 30, 909, 30, 6024, 27, 334, 665, 617, 19763, 7929, 882, 81, 37, 106, 38, 26, 784, 30, 38151, 711, 284, 4842, 280, 2065, 32, 955, 21145, 34, 30, 225, 34, 614, 428, 35, 30, 225, 34, 614, 428, 35, 30, 225, 36, 614, 428, 35, 30, 225, 37, 614, 428, 36, 30, 225, 36, 614, 528, 428, 36, 30, 225, 37, 3212, 547, 15315, 26, 2356, 32, 410, 40, 38, 27, 284, 909, 280, 2065, 32, 955, 2009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 10, 9, 10, 10, 10, 4, 4, 5, 8, 8, 8, 8, 7, 8, 8, 7, 7, 7, 10, 10, 9, 10, 9, 11, 10, 11, 11, 11, 9, 7, 7, 10, 10, 9, 10, 9, 10, 9, 7, 10, 10, 9, 10, 9, 11, 10, 11, 11, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 10, 11, 10, 13, 12, 12, 13, 12, 11, 13, 12, 12, 13, 12, 11, 13, 12, 12, 13, 12, 11, 13, 12, 12, 13, 12, 11, 13, 12, 12, 13, 12, 11, 11, 13, 12, 12, 13, 12, 10, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 6, 6, 10, 11, 10, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 6, 6, 7, 8, 7, 4, 4, 6, 6, 7, 8, 7, 4, 4, 6, 6, 10, 11, 10, 12, 11, 11, 12, 11, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 8, 8, 8, 8, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 10, 11, 10, 13, 12, 12, 13, 12, 11, 13, 12, 12, 13, 12, 11, 13, 12, 12, 13, 12, 11, 13, 12, 12, 13, 12, 11, 13, 12, 12, 13, 12, 11, 11, 13, 12, 12, 13, 12, 10, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 6, 6, 10, 11, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 3, 3, 2, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 15, 15, 1, 1, 1, 1, 2, 0, 1, 2, 2, 15, 15, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 3, 5, 1, 1, 7, 7, 3, 7, 1, 1, 9, 9, 3, 9, 1, 1, 1, 11, 11, 3, 11, 1, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 3, 5, 1, 1, 7, 7, 3, 7, 1, 1, 9, 9, 3, 9, 1, 1, 1, 11, 11, 3, 11, 1, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 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, 20717, 1188, 20642, 3103, 2281, 30, 5547, 1959, 203, 1070, 35094, 1188, 33845, 203, 1070, 28520, 32, 4275, 1188, 35603, 924, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 25931, 1188, 623, 81, 2559, 32095, 203, 1070, 28520, 32, 1647, 81, 2304, 1114, 878, 1188, 372, 81, 3651, 203, 1270, 44, 284, 645, 310, 1152, 826, 32, 14663, 1188, 17292, 924, 284, 645, 310, 1152, 826, 32, 2593, 81, 1188, 372, 81, 2593, 30, 372, 81, 13520, 203, 7343, 29986, 44, 284, 3636, 35603, 924, 440, 96, 1152, 826, 438, 646, 6713, 657, 203, 589, 7279, 81, 10089, 26, 1298, 711, 284, 477, 4071, 101, 26, 1298, 27, 284, 665, 16283, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 415, 646, 630, 1114, 3841, 1114, 10089, 44, 324, 630, 1114, 3841, 1114, 3517, 346, 291, 442, 3420, 26, 784, 30, 319, 1132, 30, 1115, 5321, 27, 284, 442, 16283, 203, 823, 10860, 2957, 1761, 26, 1793, 81, 2559, 32095, 26, 1319, 3103, 2281, 30, 1300, 8531, 284, 665, 1156, 1664, 3207, 784, 30, 3387, 711, 291, 630, 1114, 3841, 280, 3387, 291, 630, 32, 95, 280, 630, 1114, 3841, 1114, 4018, 284, 477, 12830, 81, 10089, 284, 665, 16215, 26, 784, 30, 636, 711, 291, 1596, 44, 324, 2830, 280, 372, 81, 13520, 26, 452, 81, 3651, 26, 426, 30, 3878, 1057, 8841, 32062, 81, 271, 81, 5848, 2847, 324, 5127, 280, 630, 32, 95, 32, 8358, 26, 2067, 27, 324, 442, 5127, 32, 605, 81, 2593, 415, 19326, 26, 5243, 30, 330, 605, 81, 2593, 683, 813, 5127, 32, 2593, 291, 2940, 17292, 924, 619, 13489, 44, 324, 3124, 280, 13489, 32, 605, 81, 2593, 415, 19326, 26, 14806, 30, 330, 605, 81, 2593, 683, 813, 13489, 32, 2593, 324, 3636, 3268, 26, 452, 81, 2593, 26, 2076, 490, 284, 477, 12830, 81, 10089, 284, 665, 622, 81, 1163, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 5127, 280, 630, 32, 95, 32, 371, 81, 1163, 2740, 1132, 30, 1115, 5321, 27, 291, 442, 5127, 32, 605, 81, 2593, 415, 19326, 26, 5243, 30, 330, 605, 81, 2593, 683, 813, 5127, 32, 2593, 284, 477, 12830, 81, 10089, 284, 665, 622, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 5127, 280, 630, 32, 95, 32, 371, 2740, 1132, 30, 1115, 5321, 27, 291, 442, 5127, 32, 605, 81, 2593, 415, 19326, 26, 5243, 30, 330, 605, 81, 2593, 683, 813, 5127, 32, 2593, 284, 477, 12830, 81, 10089, 284, 665, 4553, 81, 1163, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 5127, 280, 630, 32, 95, 32, 3176, 81, 1163, 2740, 1132, 30, 1115, 5321, 27, 291, 442, 5127, 32, 605, 81, 2593, 415, 19326, 26, 5243, 30, 330, 605, 81, 2593, 683, 813, 5127, 32, 2593, 284, 477, 12830, 81, 10089, 284, 665, 6042, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 5127, 280, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 5, 5, 4, 5, 3, 3, 5, 2, 2, 3, 5, 5, 4, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 6, 6, 6, 7, 6, 3, 3, 4, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 6, 7, 9, 10, 8, 9, 6, 6, 6, 11, 12, 10, 11, 10, 5, 5, 6, 8, 9, 8, 8, 10, 8, 8, 10, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 2, 2, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 6, 6, 6, 9, 9, 11, 11, 11, 13, 13, 13, 13, 14, 13, 13, 14, 16, 16, 16, 16, 16, 16, 16, 7, 7, 9, 9, 12, 13, 11, 12, 11, 12, 11, 7, 7, 8, 10, 11, 11, 11, 9, 9, 11, 12, 11, 11, 13, 13, 13, 13, 9, 9, 10, 11, 6, 6, 7, 9, 8, 8, 7, 7, 7, 10, 10, 12, 13, 13, 13, 11, 11, 13, 14, 13, 13, 15, 15, 15, 15, 11, 11, 12, 13, 8, 8, 9, 11, 13, 13, 13, 13, 14, 13, 2, 2, 5, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 9, 9, 11, 9, 5, 5, 6, 8, 9, 9, 9, 7, 7, 9, 10, 9, 9, 11, 11, 11, 11, 7, 7, 8, 9, 2, 2, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 7, 7, 10, 11, 9, 10, 9, 11, 9, 9, 11, 9, 5, 5, 6, 8, 9, 9, 9, 7, 7, 9, 10, 9, 9, 11, 11, 11, 11, 7, 7, 8, 9, 2, 2, 5, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 9, 9, 11, 9, 5, 5, 6, 8, 9, 9, 9, 7, 7, 9, 10, 9, 9, 11, 11, 11, 11, 7, 7, 8, 9, 2, 2, 5, 5, 5, 3, 3, 4, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 2, 2, 1, 4, 5, 5, 0, 0, 0, 0, 6, 6, 1, 2, 2, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 7, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 9, 9, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 9, 9, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 2, 0, 0, 3, 0, 1, 1, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 2, 3, 3, 1, 1, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 2, 4, 4, 1, 1, 1, 3, 3, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 2, 4, 4, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 2, 4, 4, 1, 1, 1, 5, 5, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0 ]
[ 505, 2116, 505, 280, 330, 22012, 50, 2175, 32, 508, 308, 29338, 1813, 788, 624, 278, 9905, 203, 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 465, 485, 858, 81, 858, 81, 2304, 203, 7143, 57, 9394, 718, 81, 4694, 280, 11363, 89, 819, 1455, 272, 25, 203, 39410, 81, 19098, 69, 81, 7223, 81, 7416, 81, 2474, 280, 330, 57, 3765, 81, 39410, 81, 19098, 69, 25, 203, 1296, 81, 26499, 280, 2322, 32, 426, 610, 330, 566, 25, 203, 57, 9394, 718, 81, 2474, 280, 330, 24707, 81, 2024, 81, 858, 81, 35791, 81, 1800, 32, 2760, 25, 203, 21991, 81, 4065, 280, 485, 858, 81, 858, 81, 2304, 32, 936, 1006, 23928, 1215, 463, 24707, 81, 2024, 81, 858, 81, 683, 203, 12252, 81, 4613, 81, 24685, 280, 5989, 835, 428, 21991, 81, 4065, 30, 11363, 24707, 81, 668, 81, 4882, 3490, 203, 12252, 81, 12003, 81, 6224, 280, 5989, 835, 428, 21991, 81, 4065, 30, 11363, 24707, 81, 1489, 47, 7134, 3490, 203, 12252, 81, 12003, 81, 4804, 280, 5989, 835, 428, 21991, 81, 4065, 30, 3775, 11363, 24707, 81, 1216, 81, 1003, 370, 3775, 11363, 24707, 81, 3259, 81, 5961, 81, 9236, 81, 363, 81, 339, 81, 35003, 81, 4882, 370, 3775, 11363, 24707, 81, 2029, 47, 8038, 7961, 1006, 3424, 44, 11161, 1006, 3424, 3490, 203, 12252, 81, 12003, 81, 30916, 280, 308, 284, 6663, 428, 21991, 81, 4065, 30, 276, 11363, 24707, 81, 12227, 81, 1945, 81, 7073, 81, 4882, 370, 276, 11363, 24707, 81, 3259, 81, 5961, 81, 9236, 81, 363, 81, 339, 81, 35003, 81, 4882, 370, 276, 11363, 24707, 81, 2029, 47, 28, 30916, 22801, 3490, 203, 12252, 81, 12003, 81, 2514, 7863, 1392, 280, 308, 284, 5053, 57, 3765, 81, 2514, 7863, 81, 9193, 950, 330, 35, 370, 330, 57, 3765, 81, 22814, 81, 2514, 783, 4135, 950, 330, 36, 8885, 284, 428, 21991, 81, 4065, 30, 275, 11363, 24707, 81, 3259, 81, 5961, 81, 9236, 81, 363, 81, 339, 81, 35003, 81, 4882, 370, 275, 11363, 24707, 81, 2029, 47, 6129, 299, 1006, 3424, 3490, 203, 57, 9394, 718, 81, 4065, 280, 2322, 32, 983, 32, 2524, 26, 24707, 81, 858, 81, 2304, 32, 936, 2028, 2976, 1026, 570, 9394, 718, 81, 2474, 27, 203, 589, 2614, 19541, 1811, 42360, 26, 101, 711, 334, 442, 309, 32, 3227, 9442, 100, 78, 96, 370, 3228, 96, 1814, 3227, 9442, 100, 370, 3228, 96, 683, 203, 589, 6478, 15558, 26, 858, 81, 2024, 711, 334, 442, 316, 32, 1113, 26, 100, 2473, 28, 36265, 1736, 729, 33581, 2502, 78, 3491, 86, 29, 12302, 4987, 86, 19650, 490, 35317, 5769, 540, 10255, 35, 8806, 44, 5769, 894, 81, 2024, 27, 203, 589, 6478, 8429, 4364, 26, 2024, 711, 334, 442, 316, 32, 1113, 26, 100, 25, 3113, 8244, 3905, 8302, 78, 96, 4586, 21194, 96, 78, 96, 370, 400, 330, 3113, 8244, 44, 308, 28490, 3251, 5421, 96, 78, 96, 370, 1688, 27, 203, 589, 6478, 3113, 854, 2557, 26, 2024, 711, 334, 442, 316, 32, 1113, 26, 100, 25, 3113, 8244 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 3, 3, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 3, 3, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 4, 5, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 7, 8, 7, 10, 10, 10, 9, 7, 10, 9, 6, 5, 8, 7, 5, 8, 7, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 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, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 3, 3, 3, 3, 1, 0, 16, 16, 1, 1, 1, 2, 1, 2, 16, 16, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 17, 17, 1, 2, 1, 1, 1, 2, 17, 17, 0, 0, 2, 1, 0, 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, 5, 5, 1, 0, 18, 18, 1, 1, 2, 1, 2, 18, 18, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 19, 19, 1, 1, 1, 2, 1, 2, 19, 19, 0, 0, 2, 1, 0, 0, 1, 1 ]
[ 1070, 420, 867, 97, 476, 81, 1262, 32, 1495, 1188, 308, 28651, 30, 12259, 924, 30, 7819, 30, 284, 7588, 30, 31729, 30, 40666, 444, 28651, 30, 284, 13055, 35, 40, 30, 13055, 37, 36, 30, 18378, 19541, 37, 36, 30, 284, 16289, 3644, 30, 29443, 3644, 30, 9282, 3644, 30, 9282, 8733, 30, 284, 45588, 30, 892, 27, 203, 1070, 420, 867, 97, 476, 81, 1262, 32, 878, 81, 4531, 1188, 1344, 1972, 30, 803, 891, 1972, 30, 28148, 203, 1070, 420, 867, 97, 476, 81, 1262, 32, 4280, 1188, 1487, 7167, 30, 3714, 1250, 30, 3014, 882, 30, 1930, 4014, 444, 203, 1070, 420, 867, 97, 476, 81, 1262, 32, 731, 1188, 677, 1186, 2253, 3900, 81, 44842, 203, 1070, 420, 867, 97, 476, 81, 3922, 32, 2282, 32, 4463, 37, 36, 1188, 16773, 1120, 2644, 203, 3459, 81, 18416, 280, 225, 39, 203, 3459, 81, 9193, 81, 3687, 81, 10870, 280, 225, 37, 34, 34, 203, 3459, 81, 2474, 81, 3687, 81, 10870, 280, 7482, 81, 9193, 81, 3687, 81, 10870, 203, 823, 3036, 26, 28651, 711, 284, 907, 81, 891, 280, 225, 37, 36, 284, 665, 1487, 4140, 26, 784, 711, 291, 6761, 1344, 1972, 26, 9269, 35, 40, 26, 784, 30, 313, 17765, 392, 313, 22538, 1503, 1451, 2113, 28148, 27, 291, 6761, 1344, 1972, 26, 9269, 35, 40, 26, 784, 30, 313, 13147, 392, 313, 14646, 1503, 1451, 2113, 28148, 27, 284, 665, 1487, 882, 26, 784, 711, 291, 442, 630, 1365, 13147, 6494, 853, 474, 1897, 26, 784, 1365, 17765, 6494, 853, 27, 517, 225, 35, 34, 34, 34, 34, 203, 24996, 81, 2636, 81, 2474, 280, 301, 275, 35, 44, 313, 39086, 392, 275, 36, 44, 313, 2636, 33, 36, 225, 35, 40, 31, 2400, 392, 275, 37, 44, 313, 2636, 33, 36, 225, 37, 36, 31, 2400, 392, 275, 38, 44, 313, 2839, 18389, 392, 203, 111, 203, 32336, 81, 2636, 81, 6177, 280, 225, 34, 203, 32336, 81, 2636, 81, 2474, 280, 301, 275, 34, 44, 313, 1761, 392, 275, 35, 44, 313, 2839, 225, 35, 40, 31, 2400, 392, 275, 36, 44, 313, 21430, 10702, 225, 35, 40, 31, 2400, 392, 275, 37, 44, 313, 21430, 10702, 225, 37, 36, 31, 2400, 392, 275, 38, 44, 313, 2839, 225, 37, 36, 31, 2400, 392, 203, 111, 203, 3539, 2319, 81, 21385, 280, 225, 37, 203, 3539, 2319, 81, 5918, 280, 225, 38, 203, 3539, 2319, 81, 2474, 280, 301, 275, 35, 44, 313, 2727, 392, 275, 36, 44, 313, 17950, 392, 275, 37, 44, 313, 6636, 392, 275, 38, 44, 313, 3713, 392, 275, 39, 44, 313, 28568, 54, 392, 275, 41, 44, 313, 5972, 4253, 392, 203, 111, 203, 21385, 81, 7100, 2319, 81, 2474, 280, 301, 397, 35, 44, 313, 14384, 392, 397, 36, 44, 313, 12371, 392, 397, 37, 44, 313, 5971, 392, 397, 38, 44, 313, 3933, 392, 397, 39, 44, 313, 6034, 392, 397, 40, 44, 313, 4711, 392, 397, 41, 44, 313, 1598, 392, 397, 42, 44, 313, 7203, 444, 392, 397, 43, 44, 313 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 8, 8, 10, 10, 10, 10, 11, 10, 10, 12, 12, 10, 12, 12, 12, 12, 8, 8, 4, 4, 6, 8, 8, 10, 10, 10, 10, 11, 10, 10, 12, 12, 10, 12, 12, 12, 12, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 10, 10, 8, 6, 6, 9, 12, 11, 13, 13, 11, 9, 7, 7, 8, 8, 8, 8, 8, 0, 3, 3, 3, 3, 3, 2, 2, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 4, 4, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 3, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 3, 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, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 6, 3, 5, 4, 4, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 6, 3, 5, 4, 4 ]
[ 0, 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, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 8, 8, 2, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 7, 7, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 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, 2, 0, 1, 1, 1, 2, 2, 0, 3, 3, 1, 2, 2, 0, 5, 5, 1, 2, 2, 0, 7, 7, 1, 2, 2, 0, 9, 9, 1, 1, 2, 2, 0, 11, 11, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 3, 3, 1, 2, 2, 0, 5, 5, 1, 2, 2, 0, 7, 7, 1, 2, 2, 0, 9, 9, 1, 2, 2, 0, 11, 11, 1, 2, 2, 0, 13, 13, 1, 2, 2, 0, 15, 15, 1, 1, 2, 2, 0, 17, 17 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 296, 31501, 203, 465, 2361, 203, 1070, 296, 31501, 32, 1160, 32, 2812, 1188, 6211, 203, 823, 21680, 42229, 3653, 26, 3092, 711, 203, 202, 4617, 203, 50, 48020, 32, 27421, 346, 203, 589, 622, 81, 34128, 26, 770, 30, 23572, 280, 1665, 30, 5573, 280, 1665, 30, 10512, 280, 1665, 711, 203, 202, 39326, 81, 1206, 81, 27262, 280, 1605, 203, 202, 39326, 81, 27262, 280, 1605, 203, 202, 9211, 280, 3447, 1517, 563, 313, 4077, 392, 313, 770, 81, 1028, 81, 2524, 299, 563, 3037, 46, 12614, 2340, 6653, 203, 202, 325, 23572, 863, 313, 1934, 563, 357, 202, 9211, 1365, 18495, 1446, 280, 23572, 203, 202, 325, 5573, 863, 313, 1934, 563, 357, 202, 9211, 1365, 6586, 1446, 280, 5573, 203, 202, 325, 10512, 863, 313, 1934, 563, 357, 202, 9211, 1365, 6604, 1446, 280, 10512, 203, 202, 11930, 81, 668, 280, 296, 31501, 32, 371, 81, 668, 440, 12921, 392, 3829, 18278, 11930, 392, 313, 11930, 81, 426, 3439, 10582, 47, 9211, 30, 2532, 81, 1170, 347, 11930, 81, 426, 657, 203, 202, 27262, 81, 11930, 280, 2149, 203, 202, 979, 12480, 328, 296, 31501, 32, 371, 81, 668, 440, 42229, 392, 3829, 18278, 11930, 392, 313, 1517, 3439, 2889, 261, 10582, 7814, 39326, 81, 770, 563, 2340, 46207, 357, 202, 27262, 81, 11930, 77, 957, 710, 11930, 18038, 280, 12480, 710, 1517, 785, 203, 202, 979, 19036, 328, 19036, 81, 668, 44, 357, 202, 11930, 710, 1517, 785, 280, 15177, 81, 11930, 32, 371, 26, 11930, 710, 11930, 3490, 357, 202, 325, 19036, 710, 11930, 785, 646, 328, 15177, 81, 11930, 44, 355, 202, 39326, 81, 1206, 81, 27262, 32, 1689, 26, 11930, 27, 357, 202, 1824, 44, 355, 202, 39326, 81, 27262, 32, 1689, 26, 11930, 27, 203, 202, 601, 301, 357, 202, 20, 27262, 563, 3709, 21234, 81, 27262, 30, 357, 202, 20, 311, 27262, 563, 3709, 21234, 81, 1206, 81, 27262, 203, 202, 111, 203, 50, 48020, 32, 27421, 346, 203, 589, 3634, 81, 11930, 81, 39326, 26, 11930, 81, 668, 30, 2287, 30, 2340, 30, 11883, 81, 681, 47, 2521, 30, 10512, 47, 2521, 711, 203, 202, 11930, 81, 668, 280, 2361, 32, 12474, 26, 11930, 81, 668, 27, 203, 202, 979, 19036, 328, 19036, 81, 668, 44, 357, 202, 39326, 280, 296, 31501, 32, 890, 81, 1427, 440, 42229, 657, 357, 202, 39326, 32, 11930, 280, 19036, 710, 11930, 785, 357, 202, 39326, 32, 11930, 81, 426, 280, 19036, 710, 11930, 81, 426, 785, 357, 202, 39326, 32, 39326, 81, 770, 280, 2340, 357, 202, 39326, 32, 1517, 280, 2287, 357, 202, 325, 2287, 610, 313, 1484, 35155, 20, 461, 11883, 81, 681, 44, 355, 202, 39326, 32, 12890, 81, 681, 280, 11883, 81, 681, 357, 202, 325, 10512, 44, 355, 202, 39326, 32, 6604, 280, 10512, 357, 202, 1824, 44, 355, 202, 39326, 32, 6604, 280, 296, 31501, 32, 1199, 32, 371, 81, 853, 440, 12921, 392, 19036, 710, 11930, 2188, 313, 12309, 657, 357, 202, 39326, 32, 4737, 346, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 0, 2, 5, 4, 5, 4, 1, 2, 2, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 2, 2, 6, 6, 6, 6, 6, 5, 5, 3, 3, 6, 6, 6, 5, 5, 3, 3, 6, 5, 5, 9, 9, 7, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 8, 8, 3, 3, 4, 4, 5, 5, 7, 7, 4, 4, 9, 8, 10, 10, 7, 7, 3, 3, 4, 4, 5, 5, 7, 7, 4, 4, 9, 8, 10, 10, 7, 7, 3, 3, 4, 4, 5, 5, 7, 7, 4, 4, 9, 8, 10, 10, 7, 7, 3, 3, 6, 6, 6, 5, 5, 8, 7, 8, 8, 8, 7, 9, 9, 7, 8, 11, 11, 9, 11, 11, 11, 11, 7, 8, 9, 7, 7, 9, 9, 8, 10, 10, 10, 10, 3, 3, 6, 6, 6, 5, 5, 3, 3, 4, 4, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 6, 7, 10, 10, 8, 10, 10, 6, 6, 6, 7, 11, 11, 11, 11, 9, 8, 4, 4, 9, 9, 9, 8, 10, 9, 11, 11, 7, 7, 8, 10, 10, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 9, 8, 10, 10, 7, 7, 10, 10, 9, 10, 9, 11, 10, 12, 12, 5, 5, 6, 6, 8, 10, 10, 7, 7, 7, 8, 8, 6, 6, 6, 11, 11, 11, 11, 11, 10, 11, 10, 11, 10, 6, 6, 7, 7, 7, 7, 12, 12, 12, 11, 12, 11, 12, 11, 3, 3, 4, 4, 5, 5, 8, 8, 8, 6, 7, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 7, 7, 7, 5, 5, 5, 0, 2, 5, 4, 5, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 3, 5, 5, 4, 5, 3, 3, 4, 5, 3, 2, 2, 6, 6, 6, 5, 5, 7, 8, 7, 8, 8, 8, 7, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 8, 7, 7, 10, 9, 10, 10, 10, 9, 11, 11, 5, 5, 9, 8, 9, 7, 7, 8, 10, 10, 5, 5, 9, 8, 9, 9, 9, 7, 7, 8, 10, 10, 10, 10, 5, 5, 9, 8, 9, 9, 9, 7, 7, 5, 5, 9, 8, 9, 7, 7, 5, 5, 6, 6, 8, 8, 10, 10, 10, 7, 7, 8, 8, 6, 6, 6, 11, 10, 11, 11, 11, 9, 9, 10, 10, 5, 5, 6, 6, 6, 6, 6, 11, 10, 11, 9, 9, 6, 6, 7, 7, 7, 7, 12, 11, 12, 10, 10, 14, 13, 14, 12, 13, 13, 13, 12, 14, 14, 12, 13, 15, 15, 12, 14, 14, 5, 5, 9, 8, 9, 8, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 5, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 2, 4, 4, 3, 3, 1, 1, 1, 2, 3, 3, 0, 0, 1, 2, 0, 0, 4, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 0, 0, 4, 4, 5, 5, 1, 1, 1, 2, 5, 5, 0, 0, 1, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 2, 2, 1, 1, 1, 2, 1, 5, 2, 1, 1, 0, 0, 7, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 8, 8, 8, 8, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 2, 2, 1, 2, 1, 1, 1, 5, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 4, 4, 9, 9, 9, 9, 3, 3, 9, 9, 9, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 5, 5, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 10, 10, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 6, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 9, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 5, 5, 0, 0, 2, 0, 0, 2, 1, 2, 5, 5, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 5, 5, 0, 0, 2, 2, 2, 0, 0, 5, 5, 0, 0, 2, 0, 0, 5, 5, 5, 5, 0, 0, 1, 1, 2, 1, 1, 2, 2, 5, 5, 5, 0, 0, 2, 2, 2, 0, 0, 2, 2, 5, 5, 6, 6, 6, 6, 6, 0, 0, 2, 0, 0, 6, 6, 4, 4, 4, 4, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 2, 1, 1, 2, 5, 5, 0, 0, 2, 1, 0 ]
[ 109, 284, 330, 426, 950, 330, 9030, 21143, 370, 284, 330, 3153, 950, 330, 7940, 38246, 13136, 370, 3701, 330, 1648, 950, 330, 35, 32, 34, 370, 284, 330, 2310, 950, 1524, 203, 9030, 21143, 13136, 32, 203, 1281, 511, 203, 12054, 9212, 461, 8202, 432, 22862, 30, 16901, 21143, 461, 6318, 884, 4644, 8684, 203, 452, 8244, 1370, 1426, 22004, 32, 1348, 5269, 438, 1829, 39215, 372, 556, 279, 14854, 30, 203, 7900, 438, 646, 28746, 5886, 372, 312, 12559, 32, 6608, 312, 9697, 30, 1015, 10173, 203, 363, 21048, 518, 1370, 1426, 22004, 623, 312, 3826, 461, 312, 9958, 3193, 32, 284, 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, 370, 284, 330, 27263, 950, 2107, 33109, 2188, 284, 330, 605, 950, 428, 291, 330, 33109, 81, 4756, 21143, 81, 1071, 32, 2593, 370, 291, 330, 33109, 81, 4756, 21143, 81, 3039, 32, 2593, 370, 291, 330, 4373, 33, 476, 32, 1160, 32, 3560, 32, 4700, 370, 291, 330, 3734, 33, 33109, 81, 4756, 21143, 81, 3734, 81, 1071, 32, 2593, 370, 291, 330, 33109, 81, 4756, 21143, 81, 605, 32, 2593, 370, 284, 2505, 284, 330, 6380, 950, 2107, 33109, 81, 4756, 21143, 81, 6380, 32, 2593, 2188, 284, 330, 858, 950, 2107, 858, 33, 2416, 33, 4756, 31, 21143, 32, 7070, 2188, 284, 330, 3789, 444, 950, 2933, 30, 284, 330, 2837, 81, 3789, 950, 3177, 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, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5, 2, 2, 5, 5, 3, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 2, 2, 5, 5, 3, 4, 4, 6, 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, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 3, 2, 2, 2, 5, 5, 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, 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, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 2, 5, 1, 1, 1, 2, 0, 0, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 9, 1, 1, 1, 1, 2, 0, 0, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 13, 1, 2, 0, 0, 1, 2, 15, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 21, 0, 0, 0, 1, 1, 1, 2, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 20654, 203, 1070, 31074, 1188, 4054, 203, 1070, 11385, 36492, 1188, 11713, 30, 2222, 30, 34204, 30, 9320, 30, 1245, 30, 11764, 30, 41305, 203, 1070, 11385, 36492, 32, 1262, 32, 5707, 1188, 1565, 203, 1070, 11385, 36492, 32, 47404, 32, 15917, 32, 800, 10005, 1188, 10191, 1241, 203, 1070, 11385, 36492, 32, 22040, 32, 39940, 32, 86, 7066, 1188, 475, 7066, 203, 1070, 11385, 36492, 32, 22040, 32, 39940, 32, 2989, 1188, 20371, 911, 2531, 7145, 203, 1070, 11385, 36492, 32, 22040, 32, 39940, 32, 27877, 1188, 4042, 203, 1070, 11385, 36492, 32, 22040, 32, 39940, 32, 4873, 2304, 1188, 6436, 81, 16771, 30, 18414, 81, 15378, 81, 4873, 30, 372, 81, 10337, 203, 1070, 11385, 36492, 32, 22040, 32, 39940, 32, 6800, 2445, 1188, 12002, 3409, 30, 8482, 81, 2445, 81, 19645, 203, 823, 475, 7385, 26, 30332, 911, 2531, 7145, 711, 284, 477, 17614, 284, 665, 617, 6569, 81, 1132, 26, 6933, 30, 2181, 711, 291, 2181, 280, 2599, 26, 25508, 30, 9011, 42690, 6569, 81, 1132, 26, 1132, 27, 291, 436, 1638, 328, 2181, 44, 324, 415, 646, 308, 38003, 26, 626, 30, 11713, 27, 461, 528, 2069, 26, 626, 27, 610, 225, 36, 711, 400, 3636, 10091, 440, 3863, 2793, 1395, 526, 432, 2234, 428, 1293, 30, 7151, 12032, 768, 313, 556, 308, 1603, 30, 2379, 829, 657, 291, 442, 2181, 284, 665, 10066, 26, 784, 711, 291, 442, 11713, 2740, 77, 626, 77, 34, 79, 436, 1638, 328, 630, 32, 1132, 1130, 284, 665, 46856, 26, 784, 711, 291, 442, 11713, 2740, 77, 626, 77, 35, 79, 436, 1638, 328, 630, 32, 1132, 1130, 284, 665, 622, 81, 1293, 26, 784, 30, 1650, 711, 291, 1603, 280, 630, 32, 1132, 77, 1055, 1674, 34, 79, 291, 442, 1603, 284, 665, 622, 81, 7151, 26, 784, 30, 1650, 711, 291, 2379, 280, 630, 32, 1132, 77, 1055, 1674, 35, 79, 291, 442, 2379, 284, 665, 4871, 81, 520, 26, 784, 30, 3089, 711, 291, 537, 81, 1132, 280, 10440, 520, 28, 1293, 30, 2379, 27, 436, 308, 1293, 30, 2379, 27, 328, 630, 32, 1132, 79, 291, 442, 475, 7385, 2740, 890, 81, 1132, 27, 284, 665, 38874, 26, 784, 30, 1115, 25335, 711, 291, 5955, 280, 1605, 291, 436, 308, 1293, 30, 2379, 27, 328, 630, 32, 1132, 44, 324, 1603, 280, 1603, 32, 8931, 346, 23688, 415, 308, 38003, 26, 1293, 30, 2222, 8531, 400, 436, 1638, 328, 4054, 26, 1293, 32, 1132, 30, 13760, 47, 36, 711, 528, 5955, 32, 1689, 26, 7151, 319, 768, 630, 1114, 5536, 81, 11925, 81, 8604, 26, 626, 77, 34, 614, 1638, 77, 35, 5259, 324, 813, 44, 400, 5955, 32, 1689, 26, 7151, 319, 6035, 630, 1114, 5536, 81, 11925, 81, 8604, 26, 1293, 30, 1603, 490, 291, 442, 2222, 2740, 13086, 27, 284, 665, 617, 5536, 81, 11925, 81, 8604, 26, 784, 30, 1638, 35, 30, 1638, 36, 711, 291, 281, 81, 2050, 35, 30, 20127, 81, 2050, 35, 280, 1638, 35, 32, 1132, 81, 4977, 85 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 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, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 11, 12, 11, 11, 11, 10, 10, 10, 9, 10, 9, 5, 5, 6, 6, 6, 6, 6, 6, 8, 9, 13, 13, 14, 13, 13, 13, 11, 11, 11, 14, 15, 14, 12, 12, 13, 10, 8, 8, 10, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 5, 5, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 9, 11, 10, 11, 10, 9, 10, 10, 10, 11, 12, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 9, 11, 10, 11, 10, 9, 10, 10, 10, 11, 12, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 10, 9, 10, 8, 8, 8, 7, 8, 10, 9, 9, 9, 8, 8, 9, 10, 7, 4, 4, 5, 7, 7, 9, 9, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 3, 3, 6, 6, 4, 4, 5, 7, 6, 6, 6, 5, 5, 6, 7, 5, 5, 5, 8, 8, 10, 11, 10, 6, 6, 7, 10, 10, 11, 10, 10, 10, 7, 7, 9, 9, 9, 11, 13, 12, 13, 11, 11, 12, 13, 11, 9, 9, 13, 14, 13, 15, 14, 14, 14, 16, 17, 17, 17, 17, 17, 16, 18, 17, 18, 17, 16, 17, 18, 17, 7, 7, 8, 8, 8, 12, 13, 12, 14, 13, 13, 13, 15, 16, 16, 16, 16, 16, 15, 16, 15, 15, 15, 4, 4, 5, 7, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 8, 8, 7, 7, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 1, 6, 6, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 1, 6, 6, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 1, 6, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 1, 6, 6, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 1, 4, 1, 6, 6, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 10, 10, 1, 2, 1, 1, 1, 1, 2, 10, 10, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 0, 2, 0, 2, 2, 4, 4, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 4, 4, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 4, 4, 6, 2, 1, 2, 2, 1, 2, 6, 6, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 2, 1, 5, 5, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 3, 1, 1, 4, 4, 4, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 4, 4, 7, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 7, 7, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2 ]
[ 465, 6436, 203, 465, 3760, 4692, 203, 465, 3760, 4692, 32, 2243, 619, 9991, 203, 465, 3760, 4692, 32, 1676, 2840, 619, 2156, 2840, 203, 37000, 280, 9991, 32, 52, 1752, 19508, 10656, 64, 81, 21170, 81, 37000, 319, 9991, 32, 4570, 12632, 1192, 1013, 81, 21170, 81, 1827, 203, 96, 20029, 280, 225, 36, 35, 40, 12992, 203, 15034, 262, 280, 225, 37, 43, 32, 43, 319, 9991, 32, 48898, 3389, 203, 11756, 264, 280, 225, 37, 32, 38, 319, 9991, 32, 742, 270, 495, 2264, 203, 20094, 225, 280, 225, 35, 36, 34, 32, 34, 319, 9991, 32, 15254, 13762, 319, 13729, 647, 203, 100, 81, 73, 4019, 264, 280, 225, 36, 12037, 26, 35, 1569, 40, 7447, 319, 16355, 1468, 203, 20635, 280, 9991, 32, 8663, 26, 11756, 326, 36, 319, 12697, 517, 23477, 27, 225, 203, 17473, 280, 225, 34, 32, 42, 36, 38, 517, 308, 37000, 517, 23477, 27, 647, 203, 93, 70, 280, 13729, 319, 13587, 6022, 203, 5992, 280, 225, 35, 32, 34, 517, 831, 70, 10441, 203, 18279, 225, 280, 225, 34, 32, 43, 40, 517, 16355, 326, 37, 2071, 203, 10938, 81, 1003, 2997, 280, 225, 34, 32, 34, 34, 35, 319, 30225, 2407, 203, 21341, 81, 3306, 280, 225, 35, 517, 30225, 5688, 203, 90, 280, 225, 39, 32, 34, 319, 831, 70, 12992, 203, 100, 34, 280, 540, 81, 73, 4019, 11457, 203, 105, 280, 225, 34, 32, 39, 319, 540, 81, 73, 4019, 10441, 203, 589, 624, 4019, 27334, 26, 64, 47, 96, 20029, 30, 19324, 47, 18279, 30, 12198, 47, 2521, 30, 12697, 47, 15034, 30, 23477, 47, 20094, 30, 16355, 47, 11756, 711, 284, 415, 12198, 438, 1665, 44, 291, 12198, 280, 2156, 2840, 284, 2664, 280, 12198, 32, 1598, 346, 284, 6864, 280, 489, 517, 19324, 284, 3104, 280, 6864, 44776, 35, 32, 34, 33, 37, 32, 34, 27, 284, 312, 280, 9991, 32, 13017, 26, 10337, 32, 955, 2009, 35, 32, 34, 30, 225, 34, 32, 34, 30, 225, 34, 32, 34, 614, 6436, 32, 1808, 37, 36, 471, 9991, 32, 10095, 21790, 27, 319, 3104, 33, 9660, 32, 10095, 21790, 284, 323, 280, 9991, 32, 13017, 26, 10337, 32, 955, 2009, 34, 32, 34, 30, 225, 35, 32, 34, 30, 225, 34, 32, 34, 614, 6436, 32, 1808, 37, 36, 471, 9991, 32, 10095, 21790, 27, 319, 3104, 33, 9660, 32, 10095, 21790, 284, 281, 280, 9991, 32, 13017, 26, 10337, 32, 955, 2009, 34, 32, 34, 30, 225, 34, 32, 34, 30, 225, 35, 32, 34, 614, 6436, 32, 1808, 37, 36, 471, 9991, 32, 10095, 21790, 27, 319, 3104, 33, 9660, 32, 10095, 21790, 284, 1459, 313, 1501, 6731, 3104, 280, 904, 101, 20, 904, 596, 26, 1322, 27, 284, 2664, 32, 27380, 43249, 1705, 27841, 26, 83, 30, 323, 30, 281, 27, 284, 436, 310, 328, 2155, 26, 64, 711, 291, 2664, 32, 669, 15043, 26, 15034, 27, 284, 13065, 81, 7672, 280, 330, 38, 32, 34, 28, 20094, 45444, 11756, 33, 100, 20963, 35, 36, 429, 308, 11756, 33, 100, 20963 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 4, 2, 2, 3, 0, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 2, 2, 2, 4, 4, 4, 4, 3, 3, 4, 5, 0, 0, 3, 2, 2, 2, 4, 4, 4, 3, 3, 4, 5, 5, 5, 0, 0, 3, 2, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 6, 6, 3, 3, 0, 0, 3, 3, 3, 3, 2, 2, 2, 5, 5, 5, 7, 7, 7, 7, 3, 3, 0, 0, 3, 2, 2, 4, 5, 4, 8, 7, 8, 6, 6, 5, 5, 4, 0, 0, 3, 2, 2, 4, 4, 4, 4, 4, 3, 3, 6, 5, 5, 4, 0, 0, 3, 3, 2, 2, 3, 3, 0, 0, 3, 2, 2, 4, 4, 4, 3, 3, 4, 0, 0, 3, 2, 2, 2, 4, 4, 4, 4, 3, 3, 4, 5, 0, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 3, 0, 0, 3, 3, 3, 2, 2, 4, 3, 3, 0, 0, 3, 2, 2, 4, 4, 4, 3, 3, 4, 0, 0, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 2, 2, 4, 4, 4, 3, 3, 4, 4, 4, 0, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 7, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 5, 5, 2, 2, 4, 4, 5, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 4, 4, 8, 9, 8, 11, 10, 11, 10, 12, 12, 12, 11, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 10, 11, 12, 12, 12, 10, 8, 9, 10, 10, 8, 6, 6, 5, 7, 6, 7, 7, 2, 2, 4, 4, 8, 9, 8, 11, 10, 11, 10, 12, 12, 12, 11, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 10, 11, 12, 12, 12, 10, 8, 9, 10, 10, 8, 6, 6, 5, 7, 6, 7, 7, 2, 2, 4, 4, 8, 9, 8, 11, 10, 11, 10, 12, 12, 12, 11, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 10, 11, 12, 12, 12, 10, 8, 9, 10, 10, 8, 6, 6, 5, 7, 6, 7, 7, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 7, 6, 2, 2, 5, 6, 6, 6, 6, 5, 6, 5, 5, 5, 5, 5, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 7, 8, 8, 7, 8, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 3, 3, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 20, 20, 1, 1, 2, 0, 1, 2, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 20, 20, 0, 1, 1, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 3, 2, 2, 2, 1, 1, 3, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 3, 2, 2, 2, 1, 1, 3, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 3, 2, 2, 2, 1, 1, 3, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 4, 4, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 9, 9, 9, 1, 1, 1, 9, 9, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 20717, 203, 465, 18792, 203, 20568, 280, 330, 4573, 25, 203, 3624, 280, 330, 625, 25, 203, 11835, 81, 43982, 280, 428, 20568, 30, 15881, 79, 203, 50, 25931, 32, 669, 81, 2559, 32095, 26, 8183, 32, 1319, 3103, 2281, 27, 203, 823, 7349, 2291, 4814, 26, 1473, 711, 284, 477, 8183, 32, 37697, 284, 665, 2164, 81, 4151, 26, 784, 30, 1619, 30, 2869, 81, 681, 30, 5556, 8843, 81, 3142, 30, 4648, 81, 3142, 711, 284, 477, 8183, 32, 37697, 284, 665, 6571, 81, 4151, 26, 784, 30, 2869, 81, 681, 30, 2869, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 3, 3, 3, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 5, 6, 6, 6, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 6, 7, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 5, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 7, 7, 2, 2, 9, 9, 2, 4, 4, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1695, 40, 38, 203, 465, 316, 203, 1070, 638, 954, 106, 81, 37325, 81, 3963, 1188, 8092, 12629, 6751, 203, 3674, 43193, 280, 330, 4572, 8057, 3996, 19333, 428, 5784, 79, 428, 4260, 1340, 79, 3328, 25, 203, 6737, 81, 10322, 81, 613, 280, 316, 32, 6993, 26, 100, 25, 14747, 101, 8088, 49, 66, 46, 5784, 5213, 105, 40935, 101, 18899, 4080, 101, 8088, 49, 66, 46, 687, 48, 3424, 78, 46830, 101, 18899, 10598, 370, 316, 32, 24924, 1466, 3123, 523, 316, 32, 6737, 2320, 27, 203, 589, 1420, 81, 2255, 19333, 26, 5784, 30, 1340, 30, 2075, 33792, 2179, 1057, 1645, 7831, 284, 1188, 2322, 284, 645, 16539, 1188, 447, 1676, 30, 21925, 1304, 284, 8057, 81, 1132, 280, 428, 5784, 79, 474, 2075, 474, 2107, 31, 70, 370, 2179, 79, 284, 415, 2322, 32, 426, 610, 330, 566, 950, 291, 298, 280, 447, 1676, 26, 4260, 81, 1132, 30, 12532, 47, 18165, 30, 24621, 47, 18165, 30, 16154, 47, 18165, 30, 10064, 4545, 47, 34, 106, 34, 42, 34, 34, 34, 34, 34, 34, 27, 284, 813, 44, 291, 298, 280, 447, 1676, 26, 4260, 81, 1132, 30, 12532, 47, 18165, 30, 24621, 47, 18165, 30, 16154, 47, 18165, 27, 291, 14236, 19716, 280, 3177, 284, 1596, 44, 291, 12532, 30, 16154, 280, 298, 32, 508, 48275, 26, 687, 32, 4434, 463, 3310, 31, 42, 2847, 284, 2940, 308, 65, 21887, 30, 45338, 27, 619, 1137, 44, 291, 415, 1137, 32, 12864, 863, 516, 18165, 44, 324, 3636, 291, 14236, 19716, 280, 2933, 284, 2940, 45338, 619, 1137, 44, 291, 415, 1137, 32, 12864, 863, 516, 22870, 44, 324, 3636, 291, 14236, 19716, 280, 2933, 284, 415, 14236, 19716, 44, 291, 12532, 30, 16154, 280, 298, 32, 9362, 32, 850, 1026, 298, 32, 8228, 32, 850, 346, 291, 298, 32, 1684, 346, 284, 415, 298, 32, 601, 687, 863, 225, 34, 44, 291, 3636, 26405, 463, 4260, 35175, 623, 1048, 3491, 96, 77, 8228, 10854, 96, 109, 34, 16805, 1643, 26, 8228, 32, 5460, 463, 3310, 31, 42, 21180, 284, 442, 12532, 203, 50, 48169, 6751, 32, 3317, 463, 2255, 19333, 683, 203, 589, 3996, 19333, 81, 3922, 26, 30377, 30, 2604, 30, 21873, 711, 284, 345, 280, 32763, 81, 10322, 81, 613, 32, 1903, 26, 19213, 27, 284, 415, 345, 44, 291, 1340, 280, 345, 32, 1363, 463, 687, 683, 291, 3460, 280, 345, 32, 1363, 463, 5784, 1814, 7201, 346, 291, 1688, 280, 1420, 81, 2255, 19333, 26, 5784, 30, 1340, 27, 291, 442, 4145, 507, 443, 347, 2255, 19333, 20, 1418, 347, 878, 31, 2934, 44, 4193, 12492, 1275, 1561, 347, 605, 44, 893, 33, 1645, 45, 1439, 40, 38, 9726, 101, 1228, 507, 6457, 904, 1695, 40, 38, 32, 84, 40, 38, 4434, 26, 2024, 27, 284, 813, 44, 291, 3636, 10091, 463, 924, 8202, 1509, 32, 330, 656, 330, 7700, 8345, 44, 301, 34, 16805, 1643, 26, 3674, 43193, 490, 203, 1070, 638, 37325, 81, 3963, 1188, 3909, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 7, 7, 5, 5, 6, 7, 7, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 5, 5, 1, 1, 3, 2, 2, 3, 3, 3, 5, 3, 3, 5, 2, 2, 5, 5, 4, 4, 8, 7, 6, 6, 5, 5, 8, 8, 8, 6, 6, 2, 2, 3, 5, 6, 4, 4, 6, 6, 3, 3, 6, 6, 8, 8, 9, 9, 9, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 3, 3, 4, 4, 4, 7, 7, 9, 9, 10, 10, 10, 9, 9, 10, 11, 9, 9, 10, 11, 9, 9, 10, 11, 9, 5, 5, 8, 7, 7, 2, 2, 3, 3, 3, 7, 7, 6, 6, 8, 9, 9, 8, 11, 10, 11, 10, 12, 12, 12, 12, 3, 3, 4, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 6, 8, 9, 7, 7, 8, 6, 6, 6, 5, 5, 8, 7, 7, 3, 3, 4, 5, 5, 4, 4, 4, 6, 8, 9, 7, 7, 8, 6, 6, 6, 5, 5, 8, 7, 7, 2, 2, 3, 4, 3, 3, 3, 7, 7, 6, 6, 10, 11, 9, 10, 9, 7, 10, 11, 9, 10, 9, 4, 4, 7, 8, 7, 2, 2, 3, 5, 6, 6, 4, 4, 5, 3, 3, 3, 5, 7, 11, 11, 11, 11, 11, 12, 11, 11, 11, 12, 11, 11, 11, 10, 9, 12, 11, 12, 11, 13, 13, 13, 13, 2, 2, 3, 0, 2, 5, 5, 4, 5, 4, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 5, 5, 8, 8, 8, 8, 7, 8, 7, 8, 7, 3, 3, 4, 4, 4, 4, 7, 7, 9, 10, 9, 11, 11, 5, 5, 7, 7, 11, 12, 11, 13, 13, 10, 9, 5, 5, 7, 7, 9, 9, 9, 9, 10, 9, 9, 9, 5, 5, 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, 7, 7, 10, 10, 9, 10, 10, 10, 10, 9, 10, 9, 4, 4, 5, 5, 5, 7, 9, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 12, 11, 12, 12, 11, 0, 1, 1, 4, 4, 4, 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, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 3, 3, 2, 2, 2, 1, 0, 5, 5, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 7, 1, 2, 5, 5, 0, 4, 4, 1, 1, 1, 0, 1, 1, 0, 4, 4, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 4, 4, 3, 0, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 0, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 2, 2, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 0, 0, 0, 1, 1, 3, 3, 3, 0, 0, 2, 1, 1, 2, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 2, 1, 1, 2, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 5, 1, 5, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 3, 3, 0, 2, 1, 4, 4, 6, 0, 2, 2, 1, 1, 2, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 7, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 32, 983, 203, 1070, 48885, 38, 1188, 34031, 30, 10701, 2852, 203, 1070, 48885, 38, 32, 103, 295, 32, 1707, 3922, 1188, 5316, 2825, 203, 1070, 48885, 38, 32, 103, 295, 32, 4888, 32, 99, 1473, 16417, 1188, 12395, 11143, 4248, 203, 823, 14790, 71, 1466, 97, 820, 26, 2284, 2825, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 5316, 2825, 3667, 1664, 3207, 784, 30, 10701, 2852, 30, 34031, 30, 12395, 11143, 4248, 1157, 284, 665, 1487, 3155, 2649, 3763, 26, 784, 30, 47362, 30, 6852, 426, 711, 291, 415, 630, 32, 45915, 3230, 438, 646, 1665, 44, 324, 415, 646, 6937, 26, 784, 32, 45915, 3230, 30, 630, 32, 5792, 32, 1809, 67, 15898, 26, 30044, 8531, 400, 3636, 12678, 26146, 19129, 1695, 443, 432, 42456, 6852, 392, 6619, 308, 681, 26, 784, 32, 45915, 3230, 471, 47362, 2610, 324, 442, 630, 32, 45915, 3230, 291, 813, 44, 324, 442, 630, 32, 5792, 32, 1297, 67, 959, 26, 30044, 30, 6852, 426, 30, 22975, 284, 665, 2454, 10816, 26, 784, 30, 4870, 30, 42456, 3230, 47, 2521, 711, 291, 630, 32, 45915, 3230, 280, 42456, 3230, 291, 415, 19326, 26, 3607, 30, 330, 850, 7831, 324, 1695, 1515, 280, 4247, 291, 813, 44, 324, 4870, 280, 596, 26, 3607, 27, 324, 1695, 1515, 280, 2322, 32, 983, 32, 7781, 26, 3607, 27, 291, 442, 630, 32, 2208, 26, 3607, 30, 1695, 1515, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 0, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 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, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 8, 7, 7, 7, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 6, 6, 6, 5, 5, 5, 7, 8, 10, 12, 11, 12, 12, 10, 10, 13, 14, 12, 13, 13, 13, 12, 13, 12, 7, 7, 9, 11, 14, 14, 14, 14, 14, 14, 14, 12, 12, 15, 15, 17, 16, 17, 17, 15, 13, 13, 6, 6, 7, 8, 9, 9, 5, 5, 6, 6, 6, 8, 11, 12, 10, 11, 11, 11, 10, 11, 10, 10, 11, 10, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 5, 7, 8, 7, 7, 9, 9, 5, 5, 9, 8, 8, 5, 5, 6, 6, 6, 9, 9, 11, 12, 11, 7, 7, 10, 9, 9, 12, 13, 11, 12, 11, 12, 11, 4, 4, 5, 7, 8, 7, 8, 7, 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 ]
[ 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 1, 1, 1, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 3, 3, 3, 3, 1, 1, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 0, 2, 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 ]
[ 1070, 3619, 32725, 32, 22235, 1188, 18044, 21055, 30, 810, 6332, 30, 8153, 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, 203, 505, 464, 505, 280, 2107, 65, 542, 21055, 785, 203, 823, 546, 542, 21055, 26, 10851, 21055, 711, 284, 636, 280, 330, 65, 542, 25, 284, 20664, 280, 2107, 97, 542, 785, 284, 26719, 280, 2107, 8440, 97, 542, 785, 284, 18346, 2516, 280, 2107, 878, 33, 106, 31, 97, 542, 785, 284, 7937, 280, 301, 291, 330, 2388, 950, 428, 324, 308, 4068, 1162, 400, 330, 823, 370, 330, 3337, 370, 330, 9165, 370, 330, 9436, 370, 330, 9971, 370, 330, 1070, 370, 400, 330, 578, 370, 330, 5266, 370, 330, 890, 370, 330, 913, 370, 330, 3220, 370, 330, 1574, 370, 330, 465, 370, 400, 330, 539, 370, 330, 4318, 370, 330, 3221, 370, 330, 1805, 370, 330, 2969, 370, 330, 7505, 370, 400, 330, 18954, 10997, 370, 330, 2989, 370, 330, 325, 370, 330, 1824, 370, 330, 979, 370, 330, 5525, 370, 330, 1409, 370, 400, 330, 4640, 370, 330, 1732, 370, 330, 302, 370, 330, 266, 370, 330, 1648, 370, 330, 601, 370, 330, 1508, 370, 400, 330, 1870, 370, 330, 1693, 1425, 5202, 47, 100, 10255, 84, 370, 12809, 47, 100, 10255, 84, 1425, 1802, 30465, 471, 324, 308, 100, 25, 1017, 78, 84, 370, 30465, 30, 330, 1017, 1425, 324, 308, 100, 32312, 4094, 27, 2009, 766, 102, 6155, 2502, 1070, 27, 2009, 766, 102, 6155, 2502, 78, 105, 29, 24370, 50, 34414, 7243, 1802, 810, 6332, 26, 13099, 30, 3319, 30, 30465, 30, 3319, 30, 3270, 32, 1339, 3662, 324, 308, 100, 32312, 1298, 18180, 2805, 77, 766, 102, 28094, 32291, 96, 7283, 2502, 112, 77, 83, 31, 108, 81, 10854, 105, 3730, 370, 1802, 810, 6332, 26, 13099, 30, 3319, 30, 3270, 32, 2447, 3662, 324, 308, 100, 10255, 84, 1298, 78, 84, 370, 30465, 471, 324, 308, 100, 25, 306, 3424, 370, 14533, 471, 324, 308, 100, 25, 12390, 101, 4165, 34254, 3424, 21194, 1958, 370, 14533, 32, 11235, 17333, 471, 324, 308, 100, 32312, 379, 47170, 3370, 28092, 10183, 77, 2449, 34414, 12302, 28, 28092, 110, 33, 28092, 12658, 47, 110, 6901, 47170, 24531, 49, 12302, 47170, 4178, 35, 30, 37, 111, 28092, 16214, 109, 35, 30, 37, 111, 28092, 12302, 5327, 8302, 25, 1802, 540, 25, 6007, 49, 12302, 12302, 110, 49, 12302, 80, 28092, 7243, 16734, 471, 324, 308, 100, 25, 4987, 7447, 2009, 766, 102, 38131, 2009, 83, 31, 108, 10854, 105, 3730, 370, 810, 6332, 26, 7145, 30, 3319, 30, 2270, 3270, 32, 2447, 3662, 324, 308, 100, 44860, 51, 31, 76, 1674, 51, 31, 76, 34, 31, 43, 81, 6155, 370, 3270, 32, 5465, 471, 324, 308, 100, 44860, 51, 31, 76, 10854, 105, 28, 2009, 50, 28, 79, 12302, 9532, 766, 102, 6603, 78, 1130, 20787, 3270, 32, 1339, 471, 324, 308, 100, 25, 2009, 83, 31, 108, 10854, 105, 8088, 2805, 112, 77, 83, 31, 108 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 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, 0, 3, 3, 3, 2, 2, 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, 7, 2, 2, 4, 4, 7, 7, 7, 7, 2, 2, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 5, 5, 8, 8, 6, 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, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 11, 13, 13, 13, 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, 11, 13, 13, 10, 11, 13, 13, 13, 13, 10, 11, 13, 13, 13, 13, 8, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 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, 8, 8, 10, 10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 11, 12, 10, 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, 8, 8, 10, 10, 11, 10, 10, 10, 10, 11, 12, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 10, 8, 7, 7, 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, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 11, 10, 10, 10, 10, 10, 11, 12, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 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 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 15, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 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, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 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, 2, 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, 3, 0, 0, 1, 2, 1, 5, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 5, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 9, 9, 2, 2, 0, 0, 1, 1, 2, 11, 11, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 13, 3, 2, 2, 13, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 15, 15, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 17, 0, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 19, 3, 2, 19, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 21, 3, 2, 21, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1277, 8648, 465, 2322, 203, 465, 11171, 203, 1070, 3619, 8360, 1188, 447, 1075, 203, 589, 894, 81, 11676, 303, 2262, 284, 7565, 280, 447, 1075, 26, 3369, 81, 6006, 22810, 37, 30, 10191, 81, 1216, 47, 1815, 27, 284, 7565, 32, 1311, 280, 330, 9610, 6886, 328, 42213, 225, 36, 34, 35, 36, 308, 266, 904, 9905, 284, 7565, 32, 669, 463, 3989, 370, 225, 35, 43, 32, 39, 27, 284, 7565, 32, 669, 463, 38182, 370, 225, 37, 40, 32, 40, 27, 284, 7565, 32, 669, 463, 18098, 370, 225, 37, 40, 32, 37, 27, 284, 7565, 32, 669, 463, 69, 15928, 370, 225, 38, 32, 39, 27, 284, 7565, 32, 669, 463, 6420, 83, 370, 225, 36, 32, 37, 27, 284, 1201, 7565, 32, 3169, 346, 203, 589, 894, 81, 41055, 6958, 81, 11676, 303, 2262, 284, 588, 264, 588, 264, 7565, 280, 447, 1075, 26, 3369, 81, 6006, 22810, 37, 30, 10191, 81, 1216, 47, 1815, 27, 284, 7565, 32, 1311, 280, 330, 9610, 6886, 810, 1503, 328, 42213, 225, 36, 34, 35, 36, 308, 266, 904, 9905, 284, 7565, 32, 669, 463, 3989, 370, 428, 39, 32, 41, 30, 225, 35, 34, 32, 36, 30, 225, 36, 32, 40, 30, 225, 35, 1130, 284, 7565, 32, 669, 463, 38182, 370, 26339, 40, 30, 225, 35, 40, 32, 42, 30, 225, 41, 32, 38, 30, 225, 36, 32, 36, 30, 225, 35, 32, 36, 30, 225, 35, 30, 225, 35, 30, 225, 35, 32, 35, 30, 225, 38, 32, 37, 30, 225, 35, 1130, 284, 7565, 32, 669, 463, 18098, 370, 26339, 37, 30, 638, 43, 30, 225, 35, 41, 32, 35, 30, 225, 35, 39, 32, 37, 30, 638, 40, 30, 638, 39, 30, 225, 35, 32, 40, 1130, 284, 7565, 32, 669, 463, 69, 15928, 370, 428, 38, 32, 38, 30, 638, 35, 1130, 284, 7565, 32, 669, 463, 6420, 83, 370, 26339, 35, 30, 225, 35, 32, 40, 30, 638, 35, 30, 638, 39, 1130, 284, 1201, 7565, 32, 3169, 346, 203, 589, 894, 81, 10894, 81, 23202, 2262, 284, 32208, 280, 447, 1075, 346, 284, 32208, 32, 669, 463, 3989, 370, 225, 35, 43, 32, 39, 27, 284, 32208, 32, 669, 463, 38182, 370, 225, 37, 40, 32, 40, 27, 284, 32208, 32, 669, 463, 18098, 370, 225, 37, 40, 32, 37, 27, 284, 32208, 32, 669, 463, 69, 15928, 370, 225, 38, 32, 39, 27, 284, 32208, 32, 669, 463, 6420, 83, 370, 225, 36, 32, 37, 27, 284, 11214, 280, 447, 1075, 26, 10894, 81, 23202, 47, 1815, 27, 284, 11214, 32, 669, 463, 3989, 370, 225, 35, 43, 32, 39, 27, 284, 11214, 32, 669, 463, 38182, 370, 225, 37, 40, 32, 40, 27, 284, 11214, 32, 669, 463, 18098, 370, 225, 37, 40, 32, 37, 27, 284, 11214, 32, 669, 463, 69, 15928, 370, 225, 38, 32, 39, 27, 284, 11214, 32, 669, 463, 6420, 83, 370, 225, 36, 32, 37, 27, 284, 1201, 32208, 32, 3169, 346, 863, 11214, 32, 3169, 346, 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, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 8, 8, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 2, 2, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 6, 5, 7, 7, 5, 6, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 5, 6, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 5, 6, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 7, 5, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 7, 5, 6, 6, 6, 5, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 6, 5, 7, 7, 5, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 6, 2, 2, 5, 6, 5, 7, 7, 5, 7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 6, 6, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 6, 2, 2, 5, 6, 5, 7, 7, 5, 7, 6, 6, 7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 6, 6, 7, 6, 6, 7, 7, 7, 6, 2, 2, 5, 6, 5, 7, 7, 7, 5, 7, 7, 7, 6, 6, 7, 6, 2, 2, 5, 6, 5, 7, 7, 7, 5, 7, 6, 6, 7, 7, 7, 6, 6, 7, 6, 6, 7, 6, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 5, 6, 5, 7, 7, 5, 6, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 5, 6, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 5, 6, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 7, 5, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 7, 5, 6, 6, 6, 5, 2, 2, 4, 4, 6, 6, 8, 8, 8, 7, 8, 6, 2, 2, 5, 6, 5, 7, 7, 5, 6, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 5, 6, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 5, 6, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 7, 5, 6, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 7, 5, 6, 6, 6, 5, 2, 2, 3, 6, 7, 6, 4, 4, 6, 7, 6, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 3, 3, 1, 4, 4, 7, 0, 2, 1, 0, 4, 4, 1, 1, 1, 1, 1, 1, 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, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 7, 3, 5, 5, 0, 2, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 7, 7, 7, 3, 3, 9, 9, 9, 3, 3, 11, 3, 3, 13, 3, 3, 15, 15, 15, 3, 3, 17, 17, 17, 3, 3, 19, 3, 5, 5, 0, 2, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 5, 5, 5, 5, 3, 3, 7, 7, 7, 7, 3, 3, 9, 3, 3, 11, 3, 3, 13, 13, 13, 3, 5, 5, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 3, 3, 5, 5, 0, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 5, 5, 6, 0, 2, 1, 0, 5, 5, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 3, 3, 1, 4, 4, 12, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8527, 32, 2957, 32, 11400, 32, 10514, 1188, 319, 203, 1070, 298, 427, 267, 32, 3142, 1188, 6287, 203, 1070, 281, 545, 32, 1840, 1237, 32, 2180, 1188, 4333, 81, 1071, 203, 1070, 281, 545, 32, 1840, 1237, 32, 14458, 1188, 319, 203, 67, 280, 540, 32312, 1217, 8169, 12390, 66, 46, 26653, 81, 1643, 4503, 29, 490, 33113, 25, 203, 965, 15719, 280, 15103, 22869, 284, 1984, 26, 100, 28249, 12390, 66, 46, 1581, 4503, 41341, 12521, 33, 12390, 66, 46, 12521, 8828, 80, 33, 38131, 26565, 67, 30, 291, 6287, 26, 15468, 1972, 471, 636, 1057, 12521, 81, 4531, 1425, 284, 1984, 26, 100, 28249, 12390, 66, 46, 1581, 4503, 41341, 12521, 33, 12390, 66, 46, 12521, 8828, 80, 33, 38131, 33, 33290, 26565, 67, 30, 291, 6287, 26, 15468, 17671, 1972, 471, 636, 1057, 12521, 81, 30138, 81, 4531, 81, 1536, 1425, 284, 1984, 26, 100, 28249, 12390, 66, 46, 1581, 4503, 41341, 12521, 33, 12390, 66, 46, 12521, 8828, 80, 33, 38131, 33, 33290, 33, 3248, 3905, 49, 66, 46, 3248, 8828, 34, 31, 43, 45760, 9118, 67, 30, 291, 6287, 26, 15468, 17671, 1972, 471, 636, 1057, 12521, 81, 30138, 81, 4531, 1425, 284, 1984, 26, 100, 28249, 12390, 66, 46, 1581, 4503, 41341, 12521, 33, 12390, 66, 46, 12521, 8828, 80, 33, 38131, 33, 12537, 8538, 26565, 67, 30, 291, 6287, 26, 15468, 8811, 1972, 471, 636, 1057, 12521, 81, 12537, 81, 4531, 81, 1536, 1425, 284, 1984, 26, 100, 28249, 12390, 66, 46, 1581, 4503, 41341, 12521, 33, 12390, 66, 46, 12521, 8828, 80, 33, 38131, 33, 12537, 8538, 33, 3248, 3905, 49, 66, 46, 3248, 8828, 34, 31, 43, 45760, 9118, 67, 30, 291, 6287, 26, 15468, 8811, 1972, 471, 636, 1057, 12521, 81, 12537, 81, 4531, 1425, 284, 1984, 26, 100, 28249, 12390, 66, 46, 1581, 4503, 41341, 12390, 66, 46, 1515, 48, 1873, 110, 990, 27, 3274, 33, 12390, 66, 46, 12610, 8828, 80, 33, 45760, 12390, 66, 46, 12521, 8828, 80, 33, 45760, 9118, 67, 30, 291, 6287, 26, 4228, 1625, 1972, 471, 636, 1057, 3274, 81, 1217, 81, 4531, 81, 1536, 1425, 284, 1984, 26, 100, 28249, 12390, 66, 46, 1581, 4503, 41341, 12390, 66, 46, 1515, 48, 1873, 110, 990, 27, 3274, 33, 12390, 66, 46, 12610, 8828, 80, 33, 45760, 12390, 66, 46, 12521, 8828, 80, 33, 45760, 3248, 3905, 49, 66, 46, 3248, 8828, 34, 31, 43, 45760, 9118, 67, 30, 291, 6287, 26, 4228, 1625, 1972, 471, 636, 1057, 3274, 81, 1217, 81, 4531, 1425, 284, 1984, 26, 100, 28249, 12390, 66, 46, 1581, 4503, 41341, 12390, 66, 46, 681, 4503, 41341, 12390, 66, 46, 314, 8828, 34, 31, 43, 45760, 27660, 26565, 67, 30, 291, 6287, 26, 68, 733, 959, 1972, 471, 636, 1057, 100, 733, 81, 1473, 81, 4531, 1425, 284, 1984, 26, 100, 28249, 12390, 66, 46, 1581, 4503, 41341, 12537, 33, 12390, 66, 46, 878, 4503, 41341, 9118, 67, 30, 291, 6287, 26, 8811, 1241, 1972, 471, 636, 1057, 12537, 81, 599, 81, 4531, 1425, 284, 1984, 26, 100, 28249, 12390 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 6, 6, 8, 9, 9, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 6, 6, 8, 9, 9, 9, 8, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 6, 6, 8, 9, 9, 9, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 6, 6, 8, 9, 9, 9, 8, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 6, 6, 8, 9, 9, 9, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 6, 6, 8, 9, 9, 9, 8, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 6, 6, 8, 9, 9, 9, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 6, 6, 8, 9, 9, 9, 9, 8, 6, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 6, 6, 6, 8, 9, 9, 9, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 9, 9, 9 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1 ]
[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 465, 7395, 14510, 203, 465, 316, 203, 1070, 24379, 32, 23199, 1188, 22570, 203, 1070, 2297, 32, 5558, 32, 3259, 32, 2879, 1188, 9095, 203, 1070, 2297, 32, 2304, 1188, 5980, 81, 4434, 203, 823, 559, 3181, 56, 26, 2879, 711, 284, 1156, 426, 505, 264, 280, 313, 68, 3181, 56, 20, 284, 1156, 681, 505, 264, 280, 313, 2630, 20, 284, 1156, 1648, 505, 280, 313, 34, 32, 37, 35, 20, 284, 1156, 1517, 505, 225, 280, 313, 4266, 20, 284, 1156, 5607, 505, 280, 540, 2473, 29, 8169, 3666, 1479, 22, 25, 284, 1156, 2310, 505, 280, 1524, 68, 3181, 56, 3851, 24827, 265, 3973, 2993, 284, 1156, 2077, 505, 262, 280, 313, 21181, 104, 37, 20, 284, 1156, 17583, 505, 262, 280, 428, 440, 68, 8368, 8368, 392, 313, 68, 8368, 8368, 50, 978, 944, 32, 1088, 2113, 5556, 2884, 419, 27386, 392, 313, 419, 27386, 50, 978, 944, 32, 1088, 2113, 5556, 2884, 73, 17777, 18887, 3718, 97, 392, 313, 20743, 362, 391, 50, 7253, 32, 508, 3830, 284, 5578, 280, 313, 42, 53, 37, 39, 35, 43, 36, 54, 43, 40, 38, 4423, 37, 35, 42, 36, 53, 40, 56, 42, 38, 56, 37, 36, 39, 36, 36, 37, 43, 9649, 38, 51, 37, 36, 34, 54, 36, 39, 34, 34, 34, 34, 34, 34, 34, 34, 20, 284, 21558, 225, 280, 313, 13951, 13951, 13951, 13951, 20, 284, 665, 24827, 26, 784, 30, 3619, 761, 711, 291, 5578, 280, 7395, 14510, 32, 311, 6949, 13212, 26, 784, 32, 3307, 27, 291, 21558, 225, 280, 7395, 14510, 32, 311, 6949, 13212, 26, 784, 32, 5091, 27, 291, 15609, 262, 280, 22570, 32, 890, 26, 3307, 30, 22570, 32, 4959, 81, 55, 5411, 547, 11294, 26, 5091, 27, 291, 18845, 280, 22570, 32, 890, 26, 3307, 30, 22570, 32, 4959, 81, 4929, 52, 30, 15609, 27, 291, 1596, 44, 324, 5980, 81, 3607, 280, 5980, 81, 4434, 26, 978, 761, 32, 965, 32, 7201, 1157, 324, 623, 2156, 26, 2548, 81, 3607, 30, 330, 100, 683, 619, 9224, 1479, 44, 400, 706, 280, 9224, 1479, 32, 850, 346, 291, 2940, 45338, 30, 484, 44, 324, 630, 32, 5066, 26, 87, 27, 291, 415, 316, 32, 1903, 26, 100, 13950, 1311, 48, 38, 34, 38, 429, 3182, 5422, 377, 1311, 9601, 706, 711, 324, 3619, 761, 32, 26893, 440, 23658, 657, 291, 813, 44, 324, 1596, 44, 400, 5081, 81, 7676, 280, 7395, 14510, 32, 311, 6949, 13212, 463, 2473, 2524, 26, 605, 32, 2998, 22312, 2998, 4446, 346, 324, 2940, 12678, 44, 400, 630, 32, 5066, 41648, 2879, 438, 45115, 2131, 324, 436, 2552, 328, 5081, 81, 7676, 44, 400, 415, 646, 2552, 44, 528, 4036, 400, 2552, 280, 18845, 32, 23226, 26, 1204, 32, 5460, 463, 1439, 40, 38, 12097, 3227, 463, 2201, 56, 44, 5769, 9142, 400, 630, 32, 11400, 32, 1689, 26, 1204, 27, 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, 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, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 4, 6, 8, 8, 8, 8, 6, 8, 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, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 6, 6, 6, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 6, 6, 6, 10, 11, 10, 11, 10, 10, 11, 12, 12, 12, 12, 10, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 9, 10, 10, 10, 10, 8, 8, 8, 4, 4, 5, 5, 5, 9, 9, 8, 8, 10, 10, 10, 14, 14, 13, 14, 12, 13, 12, 6, 6, 7, 12, 13, 13, 13, 12, 12, 14, 14, 10, 10, 12, 7, 7, 7, 10, 10, 13, 12, 13, 12, 5, 5, 6, 6, 6, 6, 6, 6, 10, 11, 10, 11, 10, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 5, 5, 10, 9, 10, 9, 11, 11, 5, 5, 6, 6, 6, 8, 8, 8, 12, 12, 11, 11, 16, 15, 16, 16, 16, 15, 19, 18, 17, 20, 19, 20, 19, 14, 14, 13, 8, 8, 9, 9, 9, 9, 13, 14, 13, 17, 17, 17, 17, 7, 7, 8, 8, 8, 9, 9, 8, 8, 8, 10, 11, 10, 10, 10, 9, 9, 11, 11, 15, 16, 15, 18, 17, 18, 17, 19, 19, 19, 19, 14, 13, 15, 15, 15, 15, 13, 9, 9, 13, 14, 12, 13, 12, 13, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 4, 4, 10, 2, 1, 2, 2, 3, 2, 10, 10, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 4, 4, 3, 3, 3, 3, 3, 3, 0, 2, 1, 1, 1, 4, 4, 5, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 2, 1, 1, 2, 5, 5, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 0, 0, 0, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 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 ]
[ 465, 2322, 203, 465, 6234, 203, 465, 12266, 639, 36, 32, 4603, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 24894, 1188, 24671, 38, 81, 268, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 8527, 32, 2304, 32, 12288, 40, 1188, 438, 81, 1327, 81, 12288, 40, 81, 2468, 203, 1070, 638, 5379, 1188, 17118, 30, 25243, 203, 28815, 2027, 81, 24222, 280, 301, 284, 330, 28815, 2027, 81, 4065, 950, 18623, 26, 3550, 30, 330, 28815, 2027, 81, 4065, 370, 1665, 471, 284, 330, 28815, 2027, 81, 53, 2917, 950, 18623, 26, 3550, 30, 330, 28815, 2027, 81, 53, 2917, 370, 330, 10632, 13658, 36, 31, 11119, 32, 95, 25756, 1425, 284, 330, 28815, 2027, 81, 39725, 950, 18623, 26, 3550, 30, 330, 28815, 2027, 81, 39725, 370, 330, 10632, 13658, 36, 31, 10914, 32, 95, 25756, 1425, 203, 111, 203, 823, 16281, 2027, 36, 984, 26, 984, 711, 284, 3097, 203, 823, 16281, 2027, 36, 26, 1473, 711, 284, 24861, 81, 13236, 280, 225, 34, 284, 24861, 81, 63, 5834, 81, 2399, 280, 225, 35, 284, 24861, 81, 63, 5834, 280, 225, 36, 284, 24861, 81, 3539, 280, 225, 38, 284, 24861, 81, 15696, 280, 225, 42, 284, 3320, 81, 2184, 280, 301, 2215, 44, 1665, 436, 2919, 328, 308, 34, 30, 225, 35, 30, 225, 36, 30, 225, 38, 30, 225, 42, 4370, 284, 617, 5702, 81, 761, 280, 4247, 284, 617, 7035, 81, 761, 280, 4247, 284, 617, 5702, 280, 1665, 284, 617, 7035, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 1519, 47, 2521, 30, 3320, 47, 34, 30, 10769, 47, 2521, 30, 11297, 47, 2521, 711, 291, 415, 3320, 328, 630, 32, 2613, 81, 2184, 44, 324, 630, 1114, 2613, 280, 3320, 291, 813, 44, 324, 3636, 16281, 2027, 36, 984, 463, 3817, 16281, 2027, 22142, 2470, 44, 904, 101, 25, 904, 3320, 27, 291, 415, 646, 1519, 44, 324, 1519, 280, 47255, 2027, 81, 24222, 710, 28815, 2027, 81, 4065, 785, 324, 415, 646, 1519, 44, 400, 3636, 16281, 2027, 36, 984, 463, 10632, 2027, 1519, 2298, 526, 3943, 4729, 3395, 556, 322, 47255, 2027, 81, 4065, 5748, 11834, 291, 415, 646, 6937, 26, 983, 30, 18792, 32, 800, 81, 2516, 711, 324, 3636, 12678, 463, 3817, 1519, 827, 44, 904, 101, 25, 904, 827, 26, 983, 14585, 426, 8223, 291, 415, 2322, 32, 983, 32, 34103, 26, 983, 711, 324, 10769, 81, 1199, 280, 2322, 32, 983, 32, 2524, 26, 983, 30, 10769, 556, 47255, 2027, 81, 24222, 710, 28815, 2027, 81, 39725, 3490, 324, 415, 2322, 32, 983, 32, 29712, 26, 7035, 81, 1199, 711, 400, 630, 1114, 7035, 280, 12266, 639, 36, 32, 4603, 32, 3300, 26, 7035, 81, 1199, 30, 2926, 47, 2613, 27, 400, 630, 1114, 7035, 81, 761, 280, 10769, 81, 1199, 324, 11297, 81, 1199, 280, 2322, 32, 983, 32, 2524, 26, 983, 30, 11297, 556, 47255, 2027, 81, 24222, 710, 28815, 2027, 81, 53, 2917, 3490, 324, 415, 2322, 32, 983, 32, 29712, 26, 5702, 81, 1199, 711, 400, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 4, 6, 7, 6, 6, 8, 8, 8, 8, 8, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 4, 6, 7, 6, 6, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 7, 6, 6, 5, 6, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 9, 10, 8, 8, 5, 5, 6, 6, 6, 8, 10, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 4, 4, 5, 6, 5, 5, 5, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 6, 6, 7, 8, 7, 7, 7, 9, 11, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 4, 4, 5, 6, 8, 9, 8, 8, 9, 10, 10, 10, 8, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 13, 14, 13, 12, 12, 4, 4, 5, 8, 9, 7, 8, 7, 8, 7, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 11, 11, 13, 13, 13, 12, 14, 14, 14, 14, 14, 6, 6, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 7, 7, 11, 12, 10, 10, 14, 14, 13, 14, 12, 13, 12, 13, 13, 13, 12, 12, 13, 14, 12, 8, 8, 11, 12, 12, 12, 10, 10, 11, 11, 6, 6, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 11, 11, 13, 13, 13, 12, 14, 14, 14, 14, 14, 14, 6, 6, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 9, 9, 1, 1, 1, 2, 1, 2, 9, 9, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 3, 9, 3, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 10, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 10, 10, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 3, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 3, 3, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3 ]
[ 1070, 8206, 13835, 32, 22402, 1188, 15798, 203, 1070, 8206, 13835, 32, 1840, 1188, 1048, 203, 823, 3081, 7233, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1347, 1175, 2303, 1533, 26, 784, 711, 291, 484, 280, 1048, 32, 924, 440, 36, 34, 34, 657, 291, 630, 32, 4983, 26, 87, 32, 1436, 30, 313, 2950, 657, 284, 665, 894, 81, 1347, 1175, 3817, 1533, 26, 784, 711, 291, 484, 280, 1048, 32, 924, 440, 3817, 1227, 657, 291, 630, 32, 4983, 26, 87, 32, 1436, 30, 1665, 27, 284, 665, 894, 81, 1436, 7530, 26, 784, 711, 291, 484, 280, 1048, 32, 924, 440, 36, 34, 34, 392, 313, 3758, 4369, 1474, 657, 291, 630, 32, 4983, 26, 87, 32, 1436, 30, 313, 3758, 4369, 1474, 657, 203, 823, 6012, 11445, 7233, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1347, 1175, 2303, 1533, 26, 784, 711, 291, 484, 280, 1048, 32, 1969, 11445, 440, 36, 34, 34, 392, 3894, 3784, 3986, 657, 291, 630, 32, 4983, 26, 87, 32, 1436, 30, 313, 2950, 372, 517, 3986, 657, 284, 665, 894, 81, 1347, 1175, 2303, 1533, 2023, 2924, 26, 784, 711, 291, 484, 280, 1048, 32, 1969, 11445, 440, 36, 34, 34, 657, 291, 630, 32, 4983, 26, 87, 32, 1436, 30, 313, 2950, 657, 284, 665, 894, 81, 1347, 1175, 3817, 1533, 2924, 7530, 26, 784, 711, 291, 484, 280, 1048, 32, 1969, 11445, 440, 3817, 1227, 392, 3894, 3784, 3986, 657, 291, 630, 32, 4983, 26, 87, 32, 1436, 30, 1665, 27, 284, 665, 894, 81, 1436, 7530, 2924, 7530, 26, 784, 711, 291, 484, 280, 1048, 32, 1969, 11445, 440, 36, 34, 34, 392, 313, 3758, 4369, 1474, 392, 3894, 3784, 3986, 657, 291, 630, 32, 4983, 26, 87, 32, 1436, 30, 313, 3758, 4369, 1474, 372, 517, 3986, 657, 284, 665, 894, 81, 1436, 7530, 2023, 2924, 26, 784, 711, 291, 484, 280, 1048, 32, 1969, 11445, 440, 36, 34, 34, 392, 313, 3758, 4369, 1474, 657, 291, 630, 32, 4983, 26, 87, 32, 1436, 30, 313, 3758, 4369, 1474, 657, 203, 823, 701, 11949, 4023, 2721, 7233, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1347, 1175, 2303, 1533, 26, 784, 711, 291, 484, 280, 1048, 32, 39524, 4023, 2721, 440, 36, 34, 34, 392, 3894, 3784, 3986, 657, 291, 630, 32, 4983, 26, 87, 32, 1436, 30, 313, 2950, 372, 517, 3986, 657, 284, 665, 894, 81, 1347, 1175, 2303, 1533, 2023, 2924, 26, 784, 711, 291, 484, 280, 1048, 32, 39524, 4023, 2721, 440, 36, 34, 34, 657, 291, 630, 32, 4983, 26, 87, 32, 1436, 30, 313, 2950, 657, 284, 665, 894, 81, 1347, 1175, 3817, 1533, 2924, 7530, 26, 784, 711, 291, 484, 280, 1048, 32, 39524, 4023, 2721, 440, 3817, 1227, 392, 3894, 3784, 3986, 657, 291, 630, 32, 4983, 26, 87, 32, 1436, 30, 1665, 27, 284, 665, 894, 81, 1436, 7530, 2924, 7530, 26, 784, 711, 291, 484, 280, 1048, 32, 39524, 4023, 2721, 440, 36, 34, 34, 392, 313, 3758, 4369, 1474, 392, 3894, 3784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 8, 9, 11, 11, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 10, 10, 8, 9, 11, 11, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 11, 11, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 9, 11, 11, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 8, 9, 11, 11, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 1933, 203, 465, 4395, 203, 1070, 556, 602, 83, 1188, 14735, 619, 556, 602, 83, 81, 14806, 203, 1070, 556, 602, 83, 32, 16452, 1188, 11522, 619, 24082, 81, 4554, 203, 1070, 556, 602, 83, 1188, 35881, 619, 35498, 81, 27655, 203, 465, 376, 36, 4882, 203, 465, 376, 36, 4882, 32, 1163, 619, 3312, 81, 1163, 203, 4882, 81, 1163, 32, 2208, 81, 1132, 346, 203, 1070, 376, 36, 2282, 32, 5172, 1188, 6885, 12076, 15579, 203, 1070, 376, 36, 2282, 32, 5172, 1188, 1420, 11824, 12076, 15579, 203, 1070, 376, 36, 2282, 32, 11452, 1188, 2125, 619, 2125, 81, 14806, 203, 1070, 376, 36, 2282, 32, 3378, 32, 1199, 1188, 10912, 1141, 619, 16965, 81, 1199, 81, 3378, 203, 1070, 376, 36, 2282, 32, 3378, 32, 1199, 1188, 6063, 619, 538, 81, 1199, 81, 3378, 203, 1070, 376, 36, 2282, 32, 3378, 32, 1199, 1188, 8921, 619, 15769, 81, 1199, 81, 3378, 203, 1070, 376, 36, 2282, 32, 10764, 1188, 6063, 619, 538, 81, 1199, 81, 3560, 203, 1070, 376, 36, 2282, 32, 10764, 1188, 8921, 619, 15769, 81, 1199, 81, 3560, 203, 1070, 376, 36, 2282, 32, 10764, 1188, 10153, 619, 35498, 81, 1199, 81, 3560, 203, 1070, 376, 36, 2282, 32, 4255, 1188, 2125, 619, 2125, 81, 2122, 203, 1070, 376, 36, 2282, 32, 4255, 1188, 35761, 619, 10153, 81, 2122, 203, 1070, 376, 36, 2282, 32, 9613, 1188, 10912, 1141, 619, 16965, 81, 329, 81, 106, 625, 203, 1070, 376, 36, 2282, 32, 9613, 1188, 6672, 483, 203, 1070, 376, 36, 4882, 32, 30274, 1188, 10912, 1141, 619, 4395, 81, 6973, 81, 329, 81, 106, 625, 203, 3765, 81, 7604, 280, 313, 271, 602, 83, 81, 4882, 20, 203, 3765, 81, 7604, 81, 4065, 280, 308, 284, 376, 36, 4882, 32, 18972, 4554, 32, 371, 81, 18972, 81, 38154, 81, 1439, 81, 983, 346, 474, 13189, 474, 5895, 81, 7604, 203, 27, 203, 7604, 81, 41, 280, 313, 11215, 81, 2423, 81, 41, 20, 203, 7604, 81, 41, 81, 4065, 280, 376, 36, 4882, 32, 18972, 4554, 32, 371, 81, 18972, 81, 38154, 81, 1439, 81, 983, 346, 474, 13189, 474, 30103, 81, 41, 203, 7604, 69, 280, 428, 284, 5895, 81, 7604, 81, 4065, 30, 284, 30103, 81, 41, 81, 4065, 30, 284, 376, 36, 4882, 32, 18972, 4554, 32, 371, 81, 18972, 81, 38154, 81, 1439, 81, 983, 346, 474, 2430, 1262, 392, 203, 79, 203, 50, 3613, 32, 2675, 32, 1473, 26, 284, 6672, 483, 32, 53, 3791, 16318, 30, 313, 7211, 81, 1877, 392, 4395, 32, 20229, 3660, 26, 601, 81, 853, 47, 2521, 27, 203, 27, 203, 50, 3613, 32, 2675, 32, 1473, 26, 284, 6672, 483, 32, 53, 3791, 16318, 30, 284, 313, 7211, 81, 1297, 392, 284, 4395, 32, 20229, 3660, 26, 2671, 81, 7469, 47, 3613, 81, 6973, 81, 329, 81, 106, 625, 32, 3660, 11082, 1711, 16318, 32, 7211, 81, 1297, 471, 203, 27, 203, 50, 3613, 32, 2675, 32, 1473, 26, 284, 16965, 81, 329, 81, 106 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 4, 4, 3, 4, 2, 2, 3, 3, 0, 4, 4, 4, 3, 4, 4, 4, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 9, 9, 8, 9, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 5, 5, 4, 4, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 8, 8, 7, 8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 4, 4, 3, 3, 4, 4, 0, 3, 3, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 8, 8, 7, 8, 8, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 4, 4, 6, 6, 3, 3, 0, 2, 6, 5, 6, 4, 5, 4, 4, 4, 6, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 6, 7, 7, 6, 8, 8, 8, 7, 8, 6, 4, 4, 1, 2, 6, 5, 6, 4, 5, 4, 4, 4, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 4, 4, 6, 7, 7, 6, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 8, 9, 9, 9, 6, 4, 4, 1, 2, 6, 5, 6, 4, 5, 4, 4, 4, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 3, 3, 2, 2, 2, 2, 0, 4, 4, 0, 0, 1, 2, 4, 4, 3, 3, 2, 2, 0, 5, 5, 0, 0, 5, 5, 3, 3, 2, 2, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 0, 0, 10, 10, 0, 0, 1, 2, 10, 10, 0, 0, 0, 0, 11, 11, 0, 0, 1, 2, 11, 11, 3, 3, 2, 2, 0, 12, 12, 0, 0, 1, 2, 1, 4, 12, 12, 0, 3, 3, 2, 2, 2, 2, 0, 13, 13, 0, 0, 1, 2, 1, 4, 13, 13, 3, 3, 2, 2, 2, 2, 0, 14, 14, 0, 0, 1, 2, 1, 4, 14, 14, 3, 3, 2, 2, 2, 2, 0, 15, 15, 0, 0, 1, 2, 15, 15, 3, 3, 2, 2, 2, 2, 0, 16, 16, 0, 0, 1, 2, 16, 16, 3, 3, 2, 2, 2, 2, 0, 17, 17, 0, 0, 1, 2, 17, 17, 3, 3, 2, 2, 2, 2, 0, 18, 18, 0, 0, 1, 2, 18, 18, 3, 3, 2, 2, 0, 19, 19, 0, 0, 1, 2, 19, 19, 3, 3, 2, 2, 0, 20, 20, 0, 0, 1, 2, 20, 20, 0, 3, 3, 2, 2, 2, 2, 2, 0, 21, 21, 0, 0, 1, 2, 21, 21, 0, 0, 22, 22, 0, 0, 1, 2, 22, 22, 0, 3, 3, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 5, 5, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 28, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 28, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0 ]
[ 465, 42406, 203, 465, 2322, 203, 465, 3089, 749, 98, 203, 465, 3089, 749, 98, 32, 4882, 32, 2282, 203, 15625, 81, 34923, 280, 225, 36, 958, 203, 823, 894, 81, 476, 81, 13382, 26, 520, 749, 98, 32, 4882, 32, 2282, 32, 4316, 2732, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 858, 81, 476, 81, 13382, 30, 630, 547, 23741, 346, 291, 10880, 30, 5564, 30, 12373, 280, 630, 32, 8200, 30, 630, 32, 2446, 30, 630, 32, 1890, 291, 630, 32, 9112, 280, 10880, 463, 476, 32, 13382, 683, 291, 630, 32, 761, 2157, 280, 630, 32, 9112, 1114, 761, 2157, 26, 2446, 30, 12373, 27, 291, 630, 32, 3006, 35, 280, 330, 3006, 35, 25, 291, 630, 32, 3006, 35, 81, 84, 40, 38, 280, 630, 32, 3006, 35, 32, 4434, 463, 1439, 40, 38, 683, 291, 11589, 35, 81, 2888, 280, 42406, 32, 5567, 35, 26, 784, 32, 3006, 35, 547, 6949, 13995, 346, 291, 630, 32, 3006, 35, 81, 10555, 280, 11589, 35, 81, 2888, 2867, 15625, 81, 34923, 79, 474, 13637, 474, 11589, 35, 81, 2888, 291, 11589, 36, 280, 330, 3006, 36, 25, 291, 630, 32, 3006, 36, 81, 84, 40, 38, 280, 11589, 36, 32, 4434, 463, 1439, 40, 38, 683, 284, 665, 894, 81, 34, 35, 81, 2157, 81, 266, 81, 1199, 26, 784, 711, 291, 10880, 30, 5564, 30, 12373, 280, 630, 32, 8200, 30, 630, 32, 2446, 30, 630, 32, 1890, 291, 10880, 463, 476, 32, 1163, 81, 5609, 1814, 470, 81, 753, 26, 2446, 30, 12373, 30, 330, 476, 81, 13382, 32, 2645, 370, 330, 1199, 683, 291, 312, 35, 280, 630, 32, 9112, 32, 1297, 26, 2446, 30, 12373, 30, 5053, 426, 950, 330, 83, 35, 370, 330, 14028, 950, 630, 32, 3006, 35, 81, 84, 40, 38, 1748, 291, 312, 35, 81, 850, 280, 630, 32, 9112, 32, 850, 26, 2446, 30, 12373, 30, 428, 83, 35, 614, 2107, 14028, 3490, 291, 630, 32, 5299, 26, 83, 35, 81, 850, 77, 34, 5795, 14028, 2188, 630, 32, 3006, 35, 81, 84, 40, 38, 27, 291, 312, 35, 81, 1199, 81, 14028, 280, 630, 32, 9112, 32, 14304, 26, 2446, 30, 12373, 30, 312, 35, 547, 1199, 81, 14028, 291, 630, 32, 5299, 26, 83, 35, 81, 1199, 81, 14028, 30, 630, 32, 3006, 35, 81, 84, 40, 38, 27, 284, 665, 894, 81, 34, 36, 81, 2157, 81, 267, 81, 10300, 26, 784, 711, 291, 10880, 30, 5564, 30, 12373, 280, 630, 32, 8200, 30, 630, 32, 2446, 30, 630, 32, 1890, 291, 312, 36, 280, 630, 32, 9112, 32, 1297, 26, 2446, 30, 12373, 30, 5053, 426, 950, 330, 83, 36, 370, 330, 14028, 950, 630, 32, 3006, 35, 81, 84, 40, 38, 1748, 291, 312, 36, 81, 2157, 81, 10555, 280, 630, 32, 9112, 32, 14304, 26, 2446, 30, 12373, 30, 312, 36, 547, 2157, 81, 10555, 291, 630, 32, 5299, 26, 83, 36, 81, 2157, 81, 10555, 30, 630, 32, 3006, 35, 81, 10555, 27, 291, 630, 32, 6549, 26, 500, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 0, 1, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 6, 4, 5, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 4, 4, 7, 8, 6, 6, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 9, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 10, 11, 11, 10, 12, 11, 12, 12, 10, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 10, 10, 10, 9, 11, 11, 11, 9, 8, 8, 7, 7, 8, 8, 8, 4, 4, 7, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 9, 8, 9, 8, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 4, 4, 9, 11, 11, 11, 11, 11, 11, 8, 8, 8, 7, 8, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 8, 8, 12, 12, 10, 12, 12, 12, 9, 12, 12, 10, 11, 12, 12, 12, 12, 12, 12, 9, 4, 4, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 8, 8, 10, 10, 9, 8, 11, 11, 4, 4, 7, 8, 7, 10, 10, 10, 10, 9, 10, 9, 10, 10, 7, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 10, 11, 9, 10, 9, 10, 9, 9, 9, 9, 10, 9, 8, 8, 8, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 8, 8, 12, 12, 10, 12, 12, 12, 9, 12, 12, 10, 11, 12, 12, 12, 12, 12, 12, 9, 4, 4, 7, 7, 7, 7, 7, 6, 6, 10, 11, 9, 10, 9, 10, 9, 9, 9, 9, 10, 9, 8, 8, 8, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 11, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 5, 5, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 5, 5, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 5, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 1, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 5, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 1, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0 ]
[ 465, 2322, 203, 465, 5741, 32, 1163, 203, 1070, 18971, 32, 1163, 1188, 3383, 203, 1070, 3383, 2825, 1188, 3383, 2825, 203, 1070, 44524, 1188, 44524, 203, 589, 2454, 81, 1163, 2262, 284, 1359, 280, 3383, 26, 500, 32, 33115, 1157, 284, 415, 330, 62, 1844, 613, 11483, 81, 24222, 25, 328, 2322, 32, 12757, 44, 291, 1359, 32, 1070, 81, 2121, 869, 463, 62, 1844, 613, 11483, 81, 24222, 683, 284, 4348, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 33115, 1026, 330, 3550, 32, 978, 41095, 291, 1359, 32, 1070, 81, 978, 761, 463, 3550, 32, 978, 683, 284, 813, 44, 291, 3124, 280, 2884, 12014, 372, 2454, 3488, 803, 32, 5294, 313, 3083, 313, 32192, 1487, 5841, 3550, 32, 978, 556, 739, 498, 1844, 613, 11483, 81, 24222, 313, 3083, 313, 266, 1370, 4706, 2670, 3974, 7144, 291, 3636, 29986, 26, 2076, 27, 284, 415, 1359, 32, 371, 463, 3602, 32384, 81, 6191, 7831, 291, 5741, 32, 1163, 32, 761, 1063, 26, 324, 1359, 32, 371, 463, 3602, 32384, 81, 6191, 1425, 324, 7378, 81, 12724, 81, 751, 7983, 47, 2700, 27, 284, 415, 1359, 32, 371, 463, 10079, 81, 4019, 81, 52, 44910, 7831, 291, 2322, 32, 12757, 710, 7921, 69, 81, 4019, 81, 52, 44910, 785, 280, 1359, 32, 371, 463, 10079, 81, 4019, 81, 52, 44910, 683, 284, 442, 1359, 203, 589, 622, 81, 1800, 38951, 81, 10514, 26, 1163, 711, 284, 415, 1359, 32, 371, 463, 7720, 1310, 53, 81, 5807, 69, 7831, 291, 623, 2156, 26, 1163, 32, 371, 463, 7720, 1310, 53, 81, 5807, 69, 2847, 619, 296, 44, 324, 442, 296, 32, 850, 346, 203, 589, 1968, 81, 6212, 81, 1163, 26, 5930, 81, 1163, 30, 1123, 81, 1163, 47, 2521, 711, 284, 1359, 280, 15054, 1063, 346, 284, 415, 1123, 81, 1163, 44, 291, 10071, 280, 622, 81, 1800, 38951, 81, 10514, 26, 725, 81, 1163, 27, 291, 415, 10071, 44, 324, 1359, 32, 944, 81, 5930, 26, 10514, 27, 284, 1359, 32, 944, 81, 5930, 26, 5930, 81, 1163, 27, 284, 442, 1359, 203, 589, 18231, 81, 853, 26, 2810, 711, 284, 442, 1992, 26, 5962, 816, 44, 816, 32, 7201, 1026, 2078, 32, 2998, 43061, 490, 203, 589, 25521, 81, 853, 26, 2810, 711, 284, 442, 1992, 26, 5962, 816, 44, 816, 32, 7201, 1026, 2078, 32, 2998, 9442, 96, 2847, 203, 823, 15054, 1063, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 706, 47, 2521, 711, 291, 630, 1114, 605, 280, 2149, 291, 415, 706, 44, 324, 630, 1114, 605, 280, 706, 284, 665, 1974, 26, 784, 30, 706, 711, 291, 436, 1202, 30, 786, 328, 706, 32, 40957, 2262, 324, 415, 1202, 610, 330, 43976, 101, 25, 461, 330, 43976, 101, 25, 328, 630, 1114, 605, 44, 400, 630, 1114, 1877, 81, 43976, 81, 1163, 26, 853, 27, 324, 813, 44, 400, 630, 1114, 605, 77, 678, 79, 280, 786, 284, 665, 617, 1877, 81, 43976, 81, 1163, 26, 784, 30, 42763, 81, 1163, 711, 291, 436, 42763, 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, 2, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 9, 8, 9, 8, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 3, 3, 3, 7, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 11, 10, 11, 10, 8, 10, 10, 10, 10, 4, 4, 8, 9, 9, 9, 9, 8, 10, 10, 10, 10, 3, 3, 4, 4, 4, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 5, 5, 6, 8, 9, 8, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 7, 3, 3, 8, 9, 7, 8, 8, 7, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 9, 9, 8, 9, 7, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 8, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 10, 13, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 8, 8, 5, 5, 5, 7, 9, 10, 9, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 4, 4, 5, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 2, 2, 5, 6, 6, 6, 5, 6, 6, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 6, 6, 6, 8, 9, 8, 5, 7, 8, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 6, 6, 6, 8, 9, 8, 5, 7, 8, 7, 10, 9, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 5, 5, 5, 9, 10, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 7, 9, 9, 11, 11, 11, 8, 8, 11, 11, 11, 9, 9, 10, 11, 7, 7, 7, 11, 12, 12, 12, 12, 12, 11, 12, 11, 7, 7, 8, 8, 8, 13, 14, 12, 13, 12, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6 ]
[ 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 4, 4, 0, 5, 5, 1, 1, 2, 5, 5, 0, 0, 1, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 2, 1, 4, 4, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 7, 7, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 0, 2, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 1 ]
[ 505, 2116, 505, 280, 330, 92, 3011, 83, 50, 2175, 32, 508, 308, 9746, 87, 551, 13721, 9905, 203, 465, 1695, 40, 38, 203, 465, 19493, 203, 465, 5741, 203, 465, 2322, 203, 465, 26313, 203, 1070, 1346, 1260, 1188, 4281, 1260, 203, 1070, 24764, 36, 1580, 32, 1580, 1188, 9823, 619, 3772, 3566, 203, 1070, 24764, 36, 1580, 32, 1580, 1188, 34627, 203, 1070, 24764, 36, 1580, 1188, 4527, 203, 1070, 19142, 81, 761, 1188, 46364, 974, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 81, 7740, 427, 6845, 280, 2149, 203, 81, 7740, 427, 6845, 81, 809, 280, 26313, 32, 4631, 346, 203, 823, 3081, 26, 984, 711, 334, 3097, 203, 823, 3136, 265, 13767, 2780, 924, 26, 924, 711, 334, 3097, 203, 50, 1040, 32, 39843, 26, 38, 27, 203, 589, 622, 81, 21114, 81, 4219, 26, 3607, 30, 2043, 81, 314, 30, 1256, 81, 4867, 30, 4576, 30, 6029, 17161, 81, 267, 81, 12360, 47, 1815, 711, 334, 1202, 280, 5053, 28993, 950, 2043, 81, 314, 30, 330, 33569, 950, 1256, 81, 4867, 30, 276, 330, 3473, 950, 4527, 32, 25661, 81, 452, 81, 800, 26, 3473, 4370, 334, 442, 622, 81, 21114, 81, 4219, 81, 2988, 81, 678, 26, 397, 4870, 30, 1202, 30, 17161, 81, 267, 81, 12360, 47, 8447, 81, 267, 81, 12360, 27, 203, 50, 1040, 32, 39843, 26, 36, 27, 203, 589, 622, 81, 21114, 81, 4219, 81, 2988, 81, 800, 81, 678, 26, 284, 4870, 30, 1202, 81, 800, 30, 17161, 81, 267, 81, 12360, 47, 1815, 711, 334, 1202, 81, 2665, 280, 5053, 678, 950, 1202, 81, 800, 111, 334, 442, 622, 81, 21114, 81, 4219, 81, 2988, 81, 678, 26, 397, 4870, 30, 1202, 81, 2665, 30, 17161, 81, 267, 81, 12360, 47, 8447, 81, 267, 81, 12360, 27, 203, 50, 1040, 32, 39843, 26, 36, 27, 203, 589, 622, 81, 21114, 81, 4219, 81, 2988, 81, 678, 26, 284, 4870, 30, 1202, 81, 2665, 30, 17161, 81, 267, 81, 12360, 47, 1815, 711, 334, 4870, 280, 2322, 32, 983, 32, 8931, 496, 26, 3607, 27, 334, 617, 7740, 427, 6845, 81, 809, 32, 22214, 346, 334, 1596, 44, 284, 10151, 43875, 280, 617, 7740, 427, 6845, 32, 37329, 26, 291, 4870, 30, 617, 6221, 2780, 26, 3607, 30, 17161, 81, 267, 81, 12360, 47, 8447, 81, 267, 81, 12360, 490, 334, 8295, 44, 284, 617, 7740, 427, 6845, 81, 809, 32, 3779, 346, 334, 1202, 280, 4527, 32, 2665, 81, 452, 81, 7288, 81, 678, 26, 678, 81, 2665, 27, 334, 442, 10151, 43875, 1114, 371, 81, 4219, 26, 678, 27, 203, 823, 617, 6221, 2780, 26, 1473, 711, 334, 477, 1040, 32, 39843, 26, 36, 27, 334, 665, 1156, 1664, 3207, 784, 30, 4870, 30, 17161, 81, 267, 81, 12360, 47, 1815, 711, 284, 630, 1114, 761, 280, 46364, 974, 26, 3607, 30, 330, 100, 29, 84, 370, 330, 4506, 683, 284, 630, 1114, 3426, 81, 809, 280, 26313, 32, 4631, 346, 284, 630, 1114, 850, 81, 2585, 280, 3177, 284, 630, 1114, 8447, 81, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 0, 1, 1, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 0, 2, 5, 4, 5, 4, 5, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 5, 4, 5, 3, 2, 2, 5, 5, 9, 9, 7, 8, 8, 6, 6, 9, 9, 7, 8, 8, 6, 6, 6, 9, 9, 7, 9, 10, 10, 10, 10, 10, 9, 10, 9, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 0, 2, 5, 4, 5, 4, 5, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 5, 5, 5, 5, 4, 5, 3, 2, 2, 6, 6, 5, 5, 9, 9, 7, 8, 8, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 0, 2, 5, 4, 5, 4, 5, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 5, 5, 5, 5, 4, 5, 3, 2, 2, 5, 5, 8, 9, 7, 8, 8, 7, 8, 7, 3, 3, 7, 7, 7, 7, 7, 6, 7, 6, 3, 3, 4, 4, 4, 8, 7, 7, 10, 10, 10, 9, 10, 9, 9, 9, 9, 9, 11, 11, 11, 12, 11, 11, 13, 13, 13, 13, 12, 13, 13, 13, 13, 13, 11, 4, 4, 5, 5, 5, 10, 10, 10, 10, 10, 9, 10, 9, 3, 3, 5, 5, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 3, 3, 4, 7, 6, 7, 7, 7, 6, 7, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 7, 6, 7, 6, 7, 6, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 7, 7, 7, 7, 6, 7, 5, 4, 4, 8, 9, 7, 7, 9, 9, 10, 9, 9, 11, 11, 11, 11, 9, 11, 11, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 9, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 3, 3, 2, 0, 8, 8, 0, 0, 1, 2, 8, 8, 0, 9, 9, 0, 0, 9, 9, 0, 10, 10, 0, 0, 10, 10, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 14, 14, 2, 1, 2, 14, 14, 0, 15, 15, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 2, 1, 1, 1, 16, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 2, 2, 0, 0, 0, 0, 9, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 0, 0, 0, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 18, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 0, 0, 0, 0, 5, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 0, 19, 19, 1, 1, 2, 1, 2, 19, 19, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 2322, 1188, 16277, 203, 1070, 8206, 13835, 32, 28783, 32, 7353, 1188, 4447, 17760, 203, 1070, 7120, 906, 2371, 96, 32, 4148, 13835, 32, 1040, 1188, 9368, 203, 1070, 7120, 906, 2371, 96, 32, 4148, 13835, 32, 105, 757, 1188, 6687, 3135, 30, 6687, 7981, 203, 823, 5710, 26, 2727, 3135, 711, 284, 477, 3221, 17760, 284, 665, 544, 6249, 26, 784, 30, 4245, 711, 291, 1459, 440, 2848, 13076, 657, 291, 7022, 280, 225, 34, 291, 2218, 2933, 44, 324, 1459, 440, 7211, 44, 767, 32, 44171, 32, 5473, 35, 392, 7022, 27, 324, 630, 32, 7211, 26, 103, 25, 508, 32, 44171, 32, 5473, 35, 370, 7022, 27, 324, 7022, 1454, 225, 35, 324, 6761, 9368, 26, 35, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 15684, 280, 6687, 7981, 26, 291, 16277, 32, 371, 440, 32984, 4384, 10978, 64, 81, 47989, 81, 20483, 527, 392, 1044, 20, 3604, 555, 35, 36, 41, 32, 34, 32, 34, 32, 35, 44, 42, 34, 42, 34, 33, 3604, 2113, 291, 1044, 20, 10495, 1632, 6380, 392, 291, 4588, 81, 105, 757, 47, 2700, 30, 16189, 4588, 47, 2700, 30, 10065, 829, 284, 15684, 32, 1945, 26, 1722, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 5, 5, 3, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 8, 10, 10, 10, 5, 5, 7, 7, 8, 5, 5, 6, 6, 6, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 7, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 7, 7, 9, 9, 10, 7, 7, 9, 11, 12, 11, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 6, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 8, 6, 6, 6, 7, 8, 6, 6, 6, 2, 2, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 2, 1, 4, 3, 3, 0, 4, 4, 0, 0, 0, 1, 2, 2, 1, 4, 4, 4, 4, 0, 4, 4, 0, 0, 5, 5, 2, 1, 1, 2, 5, 5, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 2, 3, 3, 0, 1, 1, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 0, 0, 1, 1, 1, 0, 2, 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, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 3, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1459, 81, 1126, 30, 7976, 81, 465, 203, 465, 6436, 619, 2065, 203, 1070, 6436, 32, 4266, 1188, 1201, 81, 35502, 30, 1201, 81, 955, 81, 37368, 81, 2228, 203, 1070, 13092, 1188, 29657, 619, 1201, 81, 16708, 203, 1070, 18414, 1188, 22508, 203, 1070, 18414, 32, 15378, 1188, 9101, 2255, 203, 589, 617, 18617, 81, 3712, 36225, 2531, 26, 106, 30, 12356, 1967, 47, 2700, 711, 284, 415, 22508, 32, 297, 15378, 26, 106, 711, 291, 816, 280, 816, 32, 10172, 838, 346, 284, 816, 280, 2065, 32, 26742, 26, 106, 27, 284, 533, 280, 429, 35, 32, 34, 319, 816, 284, 436, 594, 328, 2155, 26, 107, 32, 3229, 77, 34, 10794, 291, 533, 77, 92, 30, 92, 79, 280, 816, 77, 92, 30, 92, 29, 35, 44, 997, 1036, 346, 474, 816, 77, 92, 13206, 92, 997, 1036, 346, 284, 415, 12356, 1967, 44, 291, 343, 280, 2065, 32, 13006, 26, 107, 547, 2991, 346, 291, 343, 77, 86, 610, 225, 34, 79, 280, 225, 35, 32, 34, 291, 533, 14374, 343, 6894, 2521, 79, 6192, 39, 291, 533, 14374, 343, 77, 2521, 33605, 6192, 39, 284, 442, 533, 203, 589, 617, 1553, 81, 37732, 81, 2255, 81, 3712, 36225, 2531, 26, 1287, 30, 12356, 1967, 711, 284, 415, 646, 19326, 26, 1287, 30, 330, 3229, 7831, 291, 2491, 280, 9967, 26, 1287, 30, 5436, 26, 2356, 47, 2356, 30, 22508, 47, 15378, 490, 284, 415, 22508, 32, 297, 15378, 26, 1287, 711, 291, 1869, 81, 1287, 280, 2491, 291, 2491, 280, 1869, 81, 1287, 32, 10172, 838, 346, 284, 813, 44, 291, 1869, 81, 1287, 280, 22508, 32, 23071, 81, 4873, 26, 1287, 27, 284, 19297, 36225, 2531, 280, 9101, 2255, 32, 3712, 36225, 2531, 26, 1287, 30, 12356, 1967, 47, 19573, 1967, 27, 284, 310, 81, 5459, 280, 2491, 32, 3229, 77, 34, 79, 284, 415, 646, 12356, 1967, 44, 291, 1201, 81, 955, 81, 37368, 81, 2228, 26, 3712, 36225, 2531, 32, 1036, 26, 5082, 47, 34, 471, 2065, 32, 9880, 26, 96, 81, 5459, 490, 284, 1201, 81, 955, 81, 37368, 81, 2228, 26, 3712, 36225, 2531, 32, 70, 30, 19297, 36225, 2531, 27, 284, 1201, 81, 955, 81, 37368, 81, 2228, 26, 3712, 36225, 2531, 30, 324, 9101, 2255, 32, 3712, 36225, 2531, 26, 419, 81, 1287, 30, 12356, 1967, 47, 19573, 1967, 547, 10172, 838, 1157, 284, 1201, 81, 955, 81, 37368, 81, 2228, 26, 3712, 36225, 2531, 30, 324, 617, 18617, 81, 3712, 36225, 2531, 26, 1287, 30, 12356, 1967, 47, 19573, 1967, 490, 203, 589, 894, 81, 3712, 36225, 2531, 81, 853, 81, 731, 2262, 284, 436, 273, 328, 629, 30, 1897, 30, 8640, 44, 291, 436, 345, 328, 6262, 35, 30, 225, 35, 614, 1750, 3813, 77, 35, 3212, 614, 1750, 3813, 35, 30, 225, 36, 30, 225, 37, 614, 428, 38, 30, 225, 39, 30, 225, 40, 6137, 1750, 3813, 35, 30, 225, 36, 614, 428, 37, 30, 225, 38, 614, 428, 39, 30, 225, 39, 46295, 324, 399, 280, 2065, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 1, 1, 3, 5, 6, 6, 5, 6, 5, 3, 3, 6, 6, 8, 9, 9, 8, 2, 2, 4, 4, 6, 7, 6, 7, 6, 2, 2, 4, 4, 7, 7, 7, 5, 5, 2, 2, 3, 3, 3, 5, 8, 7, 8, 6, 7, 6, 3, 3, 7, 8, 7, 8, 7, 6, 6, 10, 11, 10, 13, 12, 13, 11, 10, 10, 9, 7, 7, 10, 11, 10, 12, 10, 10, 9, 2, 2, 3, 4, 3, 3, 3, 6, 6, 10, 11, 10, 11, 10, 9, 8, 4, 4, 7, 9, 8, 8, 9, 7, 6, 6, 7, 7, 7, 4, 4, 6, 6, 8, 9, 8, 7, 8, 4, 4, 6, 6, 8, 9, 8, 7, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 4, 6, 7, 6, 6, 8, 8, 3, 3, 6, 6, 8, 9, 8, 8, 10, 12, 11, 12, 10, 10, 11, 12, 10, 2, 2, 3, 5, 6, 6, 5, 6, 5, 3, 3, 7, 7, 6, 6, 4, 4, 6, 6, 9, 9, 8, 9, 9, 8, 3, 3, 4, 4, 4, 8, 8, 7, 7, 9, 10, 10, 10, 9, 10, 9, 2, 2, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 6, 6, 8, 7, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 5, 6, 5, 2, 2, 3, 4, 5, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 10, 10, 10, 9, 10, 9, 11, 10, 11, 9, 7, 9, 10, 9, 10, 10, 10, 9, 2, 2, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 7, 5, 5, 6, 6, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 10, 9, 10, 10, 10, 9, 10, 10, 10, 9, 9, 11, 10, 11, 11, 9, 8, 8, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 7, 7, 9, 8, 9, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 8, 7, 7, 8, 7, 6, 6, 9, 10, 9, 7, 6, 6, 9, 8, 8, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 8, 9, 8, 6, 6, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 5, 5, 8, 8, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 6, 6, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 2, 2, 4, 4, 3, 3, 3, 1, 0, 0, 2, 1, 2, 1, 3, 3, 0, 2, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 2, 4, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 4, 4, 4, 1, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 3, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 4, 0, 2, 2, 3, 3, 0, 0, 0, 2, 0, 2, 2, 4, 4, 5, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 3, 2, 2, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 1, 1, 5, 1, 5, 1, 3, 3, 3, 3, 3, 5, 3, 3, 3, 1, 1, 1, 3, 1, 7, 1, 3, 3, 3, 3, 7, 1, 5, 5, 3, 5, 0, 0, 0, 0, 0 ]
[ 465, 1695, 203, 465, 316, 203, 465, 5237, 203, 465, 5167, 203, 1070, 5615, 1489, 1188, 38644, 203, 17557, 280, 2933, 203, 823, 1418, 44, 284, 551, 9394, 280, 3228, 34, 37, 37, 77, 35, 95, 25, 284, 7082, 280, 3228, 34, 37, 37, 77, 34, 95, 25, 203, 589, 26590, 2262, 284, 1459, 38644, 26, 1621, 32, 31388, 474, 3228, 96, 47756, 7422, 299, 358, 961, 4184, 16327, 78, 96, 25, 474, 1418, 32, 3285, 30, 330, 5466, 683, 203, 589, 2575, 26, 1935, 711, 284, 3616, 280, 5167, 32, 371, 463, 641, 555, 1499, 32, 796, 4184, 32, 508, 33, 1903, 49, 1637, 47, 35, 24, 1286, 81, 681, 47, 17274, 24, 1217, 6132, 101, 25, 904, 308, 1935, 490, 284, 345, 280, 316, 32, 32852, 463, 12390, 10040, 641, 555, 1499, 32, 796, 4184, 32, 508, 33, 1427, 4242, 78, 105, 44292, 3616, 32, 878, 32, 4434, 463, 6261, 31, 42, 2847, 284, 345, 280, 739, 26, 95, 27, 284, 345, 280, 1149, 26, 95, 27, 284, 7324, 280, 1605, 284, 3104, 280, 2069, 26, 95, 27, 284, 436, 22180, 328, 2155, 26, 34, 30, 3104, 429, 225, 35, 711, 291, 7324, 32, 1689, 440, 641, 555, 1499, 32, 796, 4184, 32, 508, 33, 1427, 5681, 474, 345, 77, 2159, 1130, 284, 442, 7324, 203, 589, 1688, 26, 605, 30, 4096, 347, 10280, 284, 415, 706, 44, 291, 1459, 313, 3595, 904, 101, 5746, 358, 3754, 3057, 54, 12827, 3491, 96, 20, 904, 2069, 26, 605, 27, 291, 436, 2552, 328, 706, 44, 324, 1459, 2552, 291, 1459, 3330, 291, 1459, 38644, 26, 1621, 32, 31388, 474, 330, 8892, 3276, 4796, 526, 3304, 30, 4322, 1976, 458, 2552, 6078, 474, 1418, 32, 3285, 27, 291, 1459, 313, 641, 555, 1499, 32, 796, 4184, 32, 508, 33, 1903, 49, 1637, 47, 35, 24, 1286, 81, 681, 47, 17274, 24, 1217, 347, 474, 4096, 284, 813, 44, 291, 1459, 38644, 463, 6448, 79, 3139, 20617, 733, 358, 961, 4184, 42896, 2431, 6418, 330, 1092, 683, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 1596, 44, 291, 4096, 280, 5237, 32, 6118, 77, 35, 79, 291, 26590, 346, 291, 1056, 280, 2575, 26, 1935, 27, 291, 1688, 26, 1267, 30, 4096, 27, 284, 2940, 3268, 619, 484, 44, 291, 1459, 484, 291, 1459, 313, 6574, 2355, 600, 4096, 619, 2793, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 3, 2, 2, 0, 1, 1, 1, 1, 1, 5, 4, 4, 7, 7, 7, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 7, 6, 6, 6, 6, 0, 1, 1, 2, 1, 1, 3, 5, 9, 8, 9, 7, 7, 10, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 6, 6, 7, 8, 5, 5, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 7, 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, 7, 7, 9, 8, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3, 5, 6, 5, 5, 6, 6, 7, 5, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 9, 2, 2, 3, 0, 1, 1, 2, 3, 2, 2, 3, 5, 1, 1, 3, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 5, 5, 5, 7, 4, 4, 5, 4, 4, 5, 7, 11, 10, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 10, 7, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 3, 3, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 3, 3, 6, 6, 8, 9, 7, 8, 7, 4, 4, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 7, 7, 3, 3, 4, 5, 5, 4, 4, 4, 6, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 7, 7, 2, 7, 7, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 8, 8, 2, 1, 2, 8, 8, 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, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 1, 1, 1, 4, 4, 6, 6, 6, 1, 1, 1, 1, 3, 3, 2, 1, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 7, 0, 9, 9, 2, 1, 2, 2, 3, 1, 9, 9, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 3, 3, 3, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 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, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 0, 0, 1, 1, 1, 1, 10, 10, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 3, 3, 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 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 2322, 203, 465, 29590, 203, 465, 1133, 203, 1070, 638, 1040, 1188, 308, 284, 3725, 2416, 924, 30, 284, 6687, 924, 30, 284, 4774, 81, 7345, 30, 284, 2503, 30, 284, 31850, 14507, 81, 3765, 81, 4601, 81, 7789, 30, 203, 27, 203, 1070, 638, 1040, 81, 2282, 1188, 308, 284, 25292, 81, 2501, 30, 284, 1420, 81, 2501, 30, 203, 27, 203, 1070, 638, 1262, 81, 1871, 1188, 308, 284, 35603, 2852, 4246, 30, 203, 27, 203, 1070, 638, 19441, 81, 1040, 1188, 308, 284, 28520, 81, 9236, 30, 203, 27, 203, 1070, 638, 1163, 1188, 308, 284, 20417, 1063, 30, 203, 27, 203, 1070, 638, 6263, 1188, 308, 284, 1487, 81, 6263, 30, 203, 27, 203, 823, 31580, 2839, 4246, 44, 284, 665, 1156, 1664, 3207, 784, 30, 5296, 81, 1871, 711, 291, 630, 32, 1262, 81, 1871, 280, 5296, 81, 1871, 291, 630, 32, 9404, 81, 1132, 280, 2107, 31, 91, 370, 630, 32, 1262, 81, 1871, 32, 9404, 81, 678, 32, 678, 79, 291, 14949, 81, 2184, 280, 5436, 26, 324, 15654, 2101, 1057, 7134, 370, 324, 38218, 3663, 953, 21306, 1057, 1347, 370, 324, 2680, 19279, 25974, 974, 20183, 1902, 33, 1693, 370, 324, 4226, 18916, 5757, 47, 35, 39, 30, 324, 4226, 18916, 1534, 2708, 47, 38, 30, 291, 829, 291, 436, 14949, 81, 1762, 328, 8594, 26, 9404, 81, 2184, 711, 324, 630, 32, 9404, 81, 1132, 1454, 2107, 31, 97, 370, 6611, 101, 6132, 101, 25, 904, 308, 9404, 81, 1762, 30, 14949, 81, 2184, 77, 9404, 81, 1762, 25456, 284, 665, 4705, 26, 784, 30, 4262, 81, 1648, 711, 284, 665, 4465, 26, 784, 711, 291, 6717, 81, 6862, 280, 428, 324, 330, 19441, 81, 3841, 47, 4463, 3925, 370, 324, 330, 19441, 81, 2035, 6132, 101, 25, 904, 630, 32, 1262, 81, 1871, 32, 3841, 32, 12256, 30, 324, 330, 19441, 81, 496, 6132, 101, 25, 904, 630, 32, 1262, 81, 1871, 32, 3841, 32, 699, 30, 324, 330, 19441, 81, 2895, 6132, 101, 25, 904, 630, 32, 1262, 81, 1871, 32, 3841, 32, 2895, 30, 324, 330, 19441, 81, 625, 6132, 101, 25, 904, 630, 32, 1262, 81, 1871, 32, 3841, 32, 625, 30, 324, 330, 19441, 81, 4463, 3925, 81, 1786, 81, 6989, 81, 6460, 47, 3617, 370, 291, 1481, 291, 636, 280, 330, 5910, 16335, 101, 25, 904, 630, 32, 1262, 81, 1871, 32, 1648, 291, 4533, 280, 28520, 81, 9236, 26, 784, 32, 1262, 81, 1871, 32, 1132, 27, 291, 4774, 280, 2107, 19441, 370, 6470, 95, 370, 330, 4463, 81, 7075, 370, 6470, 91, 370, 6611, 101, 1947, 904, 636, 30, 636, 30, 6470, 87, 370, 330, 5608, 2524, 26, 7615, 81, 6862, 2177, 291, 436, 11638, 328, 2155, 26, 35, 30, 225, 35, 36, 34, 711, 324, 1596, 44, 400, 25292, 81, 2501, 26, 784, 32, 1262, 81, 1871, 32, 1132, 30, 4774, 30, 330, 7075, 370, 4533, 47, 2121, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 9, 7, 10, 11, 11, 11, 9, 10, 10, 10, 8, 9, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 10, 9, 11, 11, 8, 8, 10, 10, 10, 9, 11, 11, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 10, 10, 10, 9, 10, 8, 8, 8, 4, 4, 5, 6, 6, 5, 5, 7, 8, 8, 8, 7, 5, 5, 9, 10, 10, 10, 8, 8, 11, 11, 11, 9, 12, 12, 12, 12, 10, 10, 12, 12, 12, 11, 11, 13, 13, 12, 13, 13, 13, 12, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 11, 12, 12, 12, 10, 11, 9, 10, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 11, 12, 12, 12, 10, 11, 9, 10, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 11, 12, 12, 12, 10, 11, 9, 10, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 11, 12, 12, 12, 10, 11, 9, 10, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 6, 6, 9, 9, 9, 9, 7, 7, 9, 10, 10, 10, 8, 9, 4, 4, 6, 6, 8, 8, 8, 11, 10, 11, 11, 11, 9, 10, 8, 4, 4, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 7, 10, 10, 8, 8, 7, 7, 7, 7, 9, 9, 7, 11, 10, 9, 10, 10, 10, 9, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 8, 8, 7, 5, 5, 7, 7, 7, 11, 11, 11, 14, 13, 14, 14, 14, 12, 13, 11, 11, 11, 11, 13, 13, 11, 12, 13, 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, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 10, 10, 0, 10, 10, 10, 10, 0, 0, 10, 10, 10, 0, 11, 11, 1, 1, 11, 11, 11, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 3, 1, 2, 1, 1, 0, 0, 0, 5, 1, 1, 1, 2, 1, 1, 0, 0, 7, 2, 2, 1, 1, 1, 0, 0, 0, 9, 2, 1, 1, 1, 4, 4, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 3, 3, 3, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 5, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 7, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 9, 9, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 9, 9, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 7, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 465, 20717, 203, 1070, 4937, 3543, 1188, 43422, 203, 465, 18792, 203, 1070, 14556, 7944, 1188, 8745, 203, 1070, 14556, 7944, 32, 11452, 1188, 18094, 10448, 30, 617, 435, 12967, 203, 1070, 14556, 7944, 32, 90, 1373, 1287, 32, 11514, 32, 11201, 1188, 28804, 1319, 459, 416, 203, 50, 25931, 32, 669, 81, 2559, 32095, 26, 8183, 32, 1319, 3103, 2281, 27, 203, 823, 28804, 1893, 799, 953, 26, 1473, 711, 284, 477, 8183, 32, 37697, 284, 665, 33316, 26, 784, 30, 3714, 30, 8218, 711, 284, 477, 8183, 32, 37697, 284, 665, 24827, 26, 784, 30, 43283, 30, 3714, 711, 284, 477, 8183, 32, 9436, 2433, 284, 665, 1202, 81, 891, 26, 784, 711, 284, 477, 8183, 32, 37697, 284, 665, 562, 81, 678, 26, 784, 711, 284, 477, 8183, 32, 37697, 284, 665, 2596, 26, 784, 30, 706, 30, 3714, 30, 8218, 711, 203, 50, 25931, 32, 669, 81, 2559, 32095, 26, 8183, 32, 1319, 3103, 2281, 27, 203, 823, 28804, 1893, 799, 953, 1554, 8330, 26, 10171, 1893, 799, 953, 711, 284, 477, 8183, 32, 37697, 284, 665, 945, 81, 14951, 26, 784, 711, 284, 477, 8183, 32, 37697, 284, 665, 945, 81, 3651, 26, 784, 30, 7328, 30, 2179, 30, 17539, 81, 12124, 711, 203, 50, 25931, 32, 669, 81, 2559, 32095, 26, 8183, 32, 1319, 3103, 2281, 27, 203, 823, 28804, 1893, 480, 953, 26, 1473, 711, 284, 477, 8183, 32, 37697, 284, 665, 48519, 26, 784, 30, 8191, 30, 3714, 30, 8218, 711, 284, 477, 8183, 32, 37697, 284, 665, 18884, 26, 784, 30, 37434, 30, 3714, 711, 284, 477, 8183, 32, 9436, 2433, 284, 665, 1202, 81, 891, 26, 784, 711, 284, 477, 8183, 32, 37697, 284, 665, 562, 81, 14951, 26, 784, 711, 284, 477, 8183, 32, 37697, 284, 665, 562, 81, 3651, 26, 784, 30, 7328, 30, 2179, 711, 284, 477, 8183, 32, 37697, 284, 665, 6144, 26, 784, 30, 8191, 30, 706, 30, 3714, 30, 8218, 711, 203, 10171, 1893, 480, 953, 1554, 8330, 280, 28804, 1893, 480, 953, 203, 589, 4450, 81, 2055, 81, 678, 26, 923, 81, 28323, 30, 1202, 81, 891, 30, 9161, 711, 284, 415, 646, 6937, 26, 7878, 30, 28804, 1319, 459, 416, 711, 291, 3636, 18094, 10448, 26, 324, 313, 10564, 1300, 1957, 646, 2054, 28804, 1319, 459, 416, 4414, 324, 617, 435, 12967, 32, 36190, 81, 26636, 81, 11695, 291, 829, 284, 617, 6967, 81, 20544, 81, 5138, 26, 923, 81, 28323, 30, 1202, 81, 891, 27, 284, 442, 9161, 32, 5536, 81, 20544, 81, 2055, 81, 678, 26, 923, 81, 28323, 30, 1202, 81, 891, 27, 203, 589, 617, 6967, 81, 20544, 81, 5138, 26, 923, 81, 28323, 30, 1202, 81, 891, 711, 284, 415, 562, 81, 28323, 333, 225, 37, 44, 291, 3636, 10091, 440, 923, 81, 28323, 2298, 526, 2377, 225, 37, 7144, 284, 415, 562, 81, 28323, 549, 225, 35, 610, 225, 34, 44, 291, 3636, 10091, 440, 923, 81, 28323, 2298, 526, 17859, 7144, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 5, 6, 6, 6, 4, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 7, 6, 7, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 3, 3, 7, 6, 7, 7, 4, 4, 5, 6, 6, 6, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 5, 6, 6, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 2, 2, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 7, 7, 6, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 5, 6, 6, 6, 4, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 7, 6, 7, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 3, 3, 7, 6, 7, 7, 4, 4, 5, 6, 6, 6, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 6, 6, 6, 3, 3, 7, 6, 7, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 4, 6, 7, 6, 6, 7, 7, 7, 6, 3, 3, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 2, 2, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 2, 2, 3, 5, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 5, 5, 4, 4, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 6, 6, 5, 5, 6, 4, 4, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 2, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 7, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 9, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 1, 2, 5, 5, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 11, 11, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 11, 11, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 12, 12, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 12, 12, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4 ]
[ 465, 343, 2632, 203, 465, 31074, 203, 465, 4395, 203, 1070, 46624, 32, 5558, 32, 5961, 1188, 17221, 1006, 203, 1070, 8419, 1396, 32, 4338, 1188, 6538, 203, 1070, 8419, 1396, 32, 1495, 81, 25075, 1188, 20682, 1176, 750, 203, 1070, 7138, 1188, 7138, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 2613, 1188, 31764, 203, 1070, 8527, 32, 858, 32, 1580, 1188, 4448, 2214, 203, 1070, 8527, 32, 858, 32, 2304, 1188, 2684, 81, 3550, 203, 1070, 35865, 12620, 97, 32, 11202, 1188, 488, 17537, 11063, 203, 1070, 46624, 32, 5558, 32, 22765, 1188, 5601, 203, 1070, 3619, 10185, 1188, 17197, 203, 1070, 1326, 81, 2613, 32, 11202, 1188, 4448, 2597, 203, 1070, 9525, 32, 3378, 1188, 22509, 38935, 203, 1070, 9525, 32, 4882, 32, 42053, 1188, 2680, 2214, 203, 1070, 816, 1521, 32, 1262, 1188, 1593, 2227, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11025, 1188, 2297, 2157, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 11025, 81, 2304, 1188, 7703, 2780, 7233, 30, 766, 284, 5895, 81, 4601, 81, 34923, 81, 6719, 792, 4128, 9069, 30, 5895, 81, 4601, 81, 40737, 81, 6719, 792, 4128, 9069, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 1505, 81, 17022, 81, 13842, 81, 3585, 30, 22509, 2214, 30, 1505, 81, 1036, 81, 1028, 81, 13842, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 2304, 1188, 1312, 3870, 5361, 13018, 1006, 13976, 203, 1070, 281, 9995, 81, 3494, 32, 25102, 1188, 14249, 74, 16464, 203, 1070, 456, 874, 32, 11025, 7491, 32, 1152, 106, 32, 4882, 32, 42053, 1188, 390, 9995, 2214, 203, 50, 2437, 463, 23434, 81, 35, 683, 203, 50, 3613, 32, 2675, 32, 2665, 26, 284, 330, 11025, 32, 2957, 32, 3550, 32, 45699, 370, 284, 301, 291, 330, 9352, 81, 74, 10322, 81, 11483, 81, 26453, 950, 2933, 30, 291, 330, 9352, 81, 3459, 81, 34448, 81, 14905, 950, 3177, 30, 284, 320, 203, 27, 203, 50, 583, 102, 32, 583, 102, 203, 823, 5692, 1788, 14674, 7233, 26, 590, 3870, 5361, 13018, 1006, 13976, 30, 10000, 7703, 2780, 7233, 711, 284, 1156, 858, 505, 280, 3177, 284, 5895, 81, 4601, 280, 1665, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1176, 1788, 14674, 7233, 30, 630, 547, 23741, 346, 291, 630, 32, 1357, 81, 5792, 280, 4448, 2214, 346, 291, 630, 32, 8397, 280, 2680, 2214, 32, 1297, 346, 291, 630, 32, 1357, 280, 630, 32, 1357, 81, 5792, 32, 371, 440, 3986, 657, 291, 630, 32, 1357, 32, 496, 280, 630, 32, 8397, 291, 630, 32, 7632, 280, 1665, 291, 630, 32, 1152, 106, 280, 1665, 291, 488, 17537, 11063, 922, 2416, 81, 1357, 26, 784, 32, 1357, 27, 284, 665, 4705, 81, 7632, 26, 784, 30, 1334, 30, 5352, 81, 1152, 106, 30, 2202, 81, 302, 81, 1152, 106, 711, 291, 8056, 299, 81, 6038, 280, 301, 324, 313, 4270, 13680, 563, 428, 400, 301, 528, 313, 3798, 81, 998, 563, 225, 36, 30, 528, 313, 887, 81, 998, 563, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 2, 4, 4, 6, 6, 6, 6, 1, 2, 6, 5, 6, 4, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 4, 4, 1, 2, 4, 4, 3, 4, 4, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 2, 2, 6, 6, 5, 5, 3, 3, 6, 6, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 10, 11, 11, 11, 11, 10, 10, 10, 9, 8, 5, 5, 8, 9, 9, 9, 7, 7, 9, 9, 5, 5, 8, 9, 7, 7, 10, 9, 10, 9, 5, 5, 8, 9, 7, 7, 10, 11, 11, 11, 9, 10, 9, 11, 11, 5, 5, 9, 10, 8, 9, 7, 7, 8, 9, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 9, 7, 7, 5, 5, 10, 10, 10, 9, 9, 9, 8, 10, 9, 10, 8, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 8, 8, 8, 7, 7, 8, 8, 11, 11, 11, 9, 10, 10, 11, 11, 14, 14, 14, 14, 12, 13, 11, 11, 11, 14, 14, 14, 14, 12 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 0, 0, 1, 2, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 13, 13, 0, 13, 13, 0, 14, 14, 0, 0, 1, 2, 14, 14, 0, 0, 15, 15, 1, 2, 15, 15, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 17, 17, 0, 1, 2, 17, 17, 0, 0, 18, 18, 0, 1, 2, 2, 1, 4, 18, 18, 0, 0, 19, 19, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 19, 19, 0, 0, 19, 19, 5, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 20, 0, 1, 2, 2, 1, 4, 1, 6, 20, 20, 0, 0, 0, 0, 0, 0, 20, 20, 0, 20, 20, 0, 0, 0, 0, 0, 0, 0, 21, 21, 0, 1, 2, 2, 1, 4, 1, 6, 21, 21, 0, 0, 0, 0, 0, 0, 22, 22, 0, 0, 0, 1, 2, 22, 22, 0, 0, 0, 23, 23, 0, 1, 2, 2, 1, 4, 4, 1, 6, 1, 8, 23, 23, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 24, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 1, 1, 24, 2, 0, 0, 1, 2, 2, 24, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 2, 2, 7, 7, 7, 7, 7, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3 ]
[ 465, 3089, 749, 98, 203, 1070, 3089, 749, 98, 32, 4280, 32, 4770, 81, 6569, 1188, 10061, 81, 6569, 619, 9967, 203, 823, 42984, 1074, 26, 520, 749, 98, 32, 525, 32, 1917, 711, 284, 477, 520, 749, 98, 32, 525, 32, 4351, 3247, 1840, 81, 28840, 33, 28840, 33, 371, 81, 28840, 81, 1338, 370, 827, 1057, 1260, 370, 3796, 1057, 496, 683, 284, 665, 622, 81, 28840, 81, 1338, 26, 784, 30, 3616, 30, 804, 30, 1542, 30, 1541, 30, 15740, 30, 656, 1561, 81, 1251, 30, 3975, 81, 1251, 30, 2266, 30, 1115, 4124, 711, 291, 8702, 81, 1251, 81, 4151, 280, 8556, 32, 371, 463, 7891, 81, 1251, 81, 4151, 370, 9795, 291, 43018, 81, 1251, 81, 4151, 280, 8556, 32, 371, 463, 47534, 81, 1251, 81, 4151, 370, 9795, 291, 1541, 81, 4151, 81, 800, 280, 8556, 32, 371, 463, 1251, 81, 4151, 81, 800, 370, 9795, 291, 15740, 81, 4151, 280, 8556, 32, 371, 463, 11628, 81, 4151, 370, 9795, 291, 15740, 81, 4151, 81, 800, 280, 8556, 32, 371, 463, 11628, 81, 4151, 81, 800, 370, 9795, 291, 7481, 8717, 280, 2149, 291, 24195, 280, 2149, 291, 27557, 280, 8556, 32, 371, 463, 4866, 1489, 1195, 683, 291, 6024, 280, 8556, 32, 371, 463, 3229, 1195, 683, 291, 415, 27557, 44, 324, 436, 1963, 81, 2285, 328, 27557, 32, 2998, 463, 45, 7831, 400, 415, 1963, 81, 2285, 44, 528, 20347, 30, 1963, 81, 1293, 280, 1963, 81, 2285, 32, 2998, 16487, 683, 528, 7481, 8717, 77, 21759, 79, 280, 1963, 81, 1293, 291, 415, 6024, 44, 324, 436, 6024, 81, 2285, 328, 6024, 32, 2998, 463, 45, 7831, 400, 415, 6024, 81, 2285, 44, 528, 6024, 81, 21759, 30, 6024, 81, 1489, 81, 1293, 280, 6024, 81, 2285, 32, 2998, 16487, 683, 528, 24195, 77, 3229, 81, 21759, 79, 280, 6024, 81, 1489, 81, 1293, 291, 7683, 81, 1071, 280, 3616, 32, 2848, 32, 1160, 463, 476, 32, 1707, 32, 1071, 683, 291, 26611, 280, 7683, 81, 1071, 32, 2255, 81, 371, 26, 324, 629, 26, 314, 471, 1542, 30, 1541, 30, 15740, 30, 1561, 81, 1251, 30, 3975, 81, 1251, 30, 2266, 30, 324, 308, 35, 38, 34, 30, 225, 35, 42, 34, 471, 3616, 32, 2848, 32, 1819, 27, 291, 5166, 280, 26611, 710, 5459, 785, 291, 28088, 280, 26611, 710, 38638, 785, 291, 37456, 81, 5459, 280, 2149, 291, 436, 323, 15858, 81, 1251, 328, 26611, 710, 5006, 81, 5459, 12132, 324, 37456, 81, 5459, 77, 1551, 19877, 81, 1251, 710, 314, 18038, 280, 323, 15858, 81, 1251, 291, 813, 44, 324, 533, 280, 1992, 26, 5962, 273, 44, 273, 710, 107, 2188, 2029, 26, 5962, 816, 44, 816, 710, 107, 785, 415, 816, 710, 106, 32168, 36, 34, 813, 1665, 30, 5166, 32, 2810, 5156, 324, 533, 81, 1449, 280, 308, 107, 461, 1769, 26, 107, 490, 556, 225, 35, 36, 34, 291, 15740, 101, 280, 2149, 291, 1149, 81, 359, 280, 1605, 291, 436, 554, 328, 28088, 44, 324, 1149, 81, 359, 32, 1689, 26, 359, 27, 324, 15740 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 2, 5, 5, 5, 4, 5, 3, 4, 2, 1, 1, 8, 8, 8, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 6, 7, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 5, 7, 5, 4, 4, 8, 8, 8, 8, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 10, 5, 5, 8, 8, 8, 8, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 10, 5, 5, 8, 8, 8, 8, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 10, 5, 5, 8, 8, 7, 7, 9, 10, 9, 11, 11, 11, 11, 10, 5, 5, 8, 8, 8, 8, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 10, 5, 5, 8, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 9, 10, 9, 11, 11, 11, 11, 5, 5, 7, 7, 9, 10, 9, 11, 11, 11, 5, 5, 6, 6, 6, 6, 8, 9, 9, 8, 8, 10, 11, 10, 12, 12, 8, 8, 10, 11, 11, 10, 10, 10, 14, 14, 15, 15, 13, 13, 16, 16, 15, 16, 15, 17, 11, 11, 15, 14, 15, 14, 13, 13, 14, 14, 5, 5, 6, 6, 6, 6, 8, 9, 9, 8, 8, 10, 11, 10, 12, 12, 8, 8, 10, 11, 11, 10, 10, 10, 15, 15, 14, 14, 15, 15, 15, 15, 13, 13, 16, 16, 15, 16, 15, 17, 11, 11, 14, 15, 15, 15, 14, 13, 13, 14, 14, 14, 14, 5, 5, 8, 8, 7, 7, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 5, 5, 7, 7, 10, 10, 9, 10, 10, 10, 9, 9, 9, 11, 12, 11, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 9, 10, 10, 9, 9, 9, 9, 9, 11, 11, 11, 10, 10, 11, 11, 11, 10, 9, 11, 12, 10, 11, 9, 5, 5, 7, 7, 8, 10, 10, 5, 5, 7, 7, 8, 10, 10, 5, 5, 8, 8, 7, 7, 5, 5, 6, 7, 7, 7, 6, 6, 7, 9, 9, 9, 9, 6, 6, 11, 11, 10, 12, 12, 12, 12, 11, 13, 13, 9, 9, 10, 10, 10, 6, 6, 7, 7, 7, 10, 10, 12, 13, 13, 13, 13, 14, 16, 16, 14, 14, 15, 15, 15, 15, 17, 19, 19, 16, 16, 18, 20, 20, 18, 18, 16, 16, 14, 14, 16, 17, 16, 8, 8, 11, 11, 10, 10, 14, 13, 13, 15, 16, 15, 11, 11, 12, 12, 12, 5, 5, 8, 7, 7, 5, 5, 8, 8, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 11, 11, 10, 11, 10, 11, 10, 7, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 3, 3, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13, 13, 2, 2, 15, 15, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 9, 9, 9, 9, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 3, 3, 0, 0, 2, 0, 0, 0, 2, 2, 4, 4, 10, 10, 10, 10, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 15, 15, 3, 3, 3, 15, 1, 0, 2, 17, 2, 1, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 16, 1, 1, 1, 16, 16, 3, 1, 1, 1, 2, 16, 16, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 16, 16, 6, 6, 6, 0, 0, 1, 1, 1, 1, 1, 3, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 3, 3, 0, 1, 2, 2, 2, 3, 3, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 19, 19, 19, 19, 19, 19, 0, 0, 0, 2, 1, 1, 1, 5, 5 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 7395, 14510, 203, 465, 42406, 203, 465, 48088, 203, 465, 3995, 203, 465, 1671, 203, 465, 1133, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 3651, 203, 1070, 8527, 32, 2304, 32, 25931, 32, 21332, 1188, 2155, 203, 1270, 44, 284, 3995, 280, 3995, 32, 1598, 6096, 346, 284, 1471, 81, 3731, 3855, 280, 2933, 203, 7343, 22210, 44, 284, 1188, 11685, 284, 11685, 32, 8447, 463, 51, 14706, 26600, 31, 3855, 1451, 9750, 438, 646, 3304, 330, 1750, 330, 267, 1370, 2664, 32, 36643, 299, 1751, 372, 488, 483, 26227, 12038, 19240, 11834, 284, 1471, 81, 3731, 3855, 280, 3177, 203, 589, 11435, 3251, 81, 32354, 26, 678, 81, 16306, 30, 786, 30, 9313, 47, 2521, 711, 284, 415, 9313, 438, 1665, 44, 291, 9313, 280, 4070, 32, 17252, 81, 3307, 284, 1202, 81, 16306, 280, 7650, 81, 3651, 26, 678, 81, 16306, 27, 284, 9313, 280, 7650, 81, 3651, 26, 7241, 27, 284, 1202, 280, 42406, 32, 5567, 35, 26, 678, 81, 16306, 474, 9313, 547, 13995, 346, 284, 442, 48088, 32, 890, 26, 678, 30, 3124, 47, 5538, 81, 3651, 26, 853, 471, 19272, 1803, 47, 2888, 1356, 32, 5567, 35, 27, 203, 589, 622, 81, 3855, 81, 800, 26, 1322, 47, 35, 36, 30, 2855, 6660, 81, 13000, 1057, 39250, 42661, 48533, 41462, 11469, 25, 1891, 330, 38605, 11809, 19108, 14311, 17741, 1952, 67, 9551, 12232, 73, 20792, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 7831, 284, 415, 646, 1471, 81, 3731, 3855, 44, 291, 3995, 32, 7389, 26, 324, 42406, 32, 5567, 36, 39, 40, 26, 400, 2884, 23, 101, 23, 101, 23, 101, 20, 904, 308, 528, 3995, 32, 371, 1293, 1026, 528, 1133, 32, 1003, 1026, 528, 4070, 32, 17252, 81, 3307, 3427, 4434, 463, 3310, 31, 42, 683, 324, 6804, 13995, 1157, 284, 442, 35617, 2524, 26, 3855, 32, 11447, 26, 11327, 81, 13000, 27, 436, 595, 328, 2155, 26, 1322, 490, 203, 325, 19326, 26, 32354, 30, 313, 6055, 81, 13995, 10280, 284, 665, 8082, 81, 1003, 81, 6055, 26, 695, 35, 30, 909, 36, 711, 291, 442, 48088, 32, 6055, 81, 13995, 26, 5538, 81, 3651, 26, 695, 35, 471, 7650, 81, 3651, 26, 695, 36, 490, 203, 1824, 44, 284, 665, 8082, 81, 1003, 81, 6055, 26, 695, 35, 30, 909, 36, 711, 291, 415, 2069, 26, 695, 35, 27, 863, 2069, 26, 695, 36, 711, 324, 442, 3177, 291, 1056, 280, 225, 34, 291, 415, 18792, 32, 5177, 37, 461, 6937, 26, 695, 35, 30, 3519, 27, 461, 6937, 26, 695, 36, 30, 3519, 711, 324, 436, 816, 30, 533, 328, 8529, 26, 695, 35, 30, 909, 36, 711, 400, 1056, 6592, 816, 5304, 533, 291, 813, 44, 324, 436, 816, 30, 533, 328, 8529, 26, 695, 35, 30, 909, 36, 711, 400, 1056, 6592, 16167, 26, 106, 27, 5304, 16167, 26, 107, 27, 291, 442, 1056, 610, 225, 34, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 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, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 4, 3, 3, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 6, 6, 6, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 7, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 7, 6, 2, 2, 4, 4, 8, 9, 9, 8, 10, 10, 10, 9, 9, 8, 7, 6, 2, 2, 3, 5, 6, 5, 6, 5, 5, 6, 8, 8, 8, 8, 9, 8, 5, 7, 6, 8, 8, 7, 8, 8, 5, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 2, 2, 2, 4, 4, 3, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 3, 4, 5, 5, 5, 3, 3, 3, 7, 8, 7, 7, 7, 11, 12, 12, 12, 12, 11, 11, 11, 17, 17, 17, 17, 17, 17, 17, 15, 15, 16, 16, 18, 19, 19, 18, 16, 16, 18, 19, 18, 16, 16, 17, 18, 18, 18, 16, 14, 13, 15, 15, 15, 15, 11, 11, 10, 9, 2, 2, 3, 6, 5, 8, 7, 8, 7, 8, 8, 8, 7, 5, 6, 6, 6, 8, 9, 8, 0, 1, 1, 3, 4, 3, 3, 5, 5, 5, 5, 1, 1, 3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 10, 10, 9, 7, 9, 9, 9, 10, 10, 9, 1, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 5, 4, 4, 6, 9, 10, 10, 9, 7, 7, 9, 10, 10, 9, 6, 6, 8, 5, 5, 7, 7, 8, 5, 5, 6, 9, 10, 10, 8, 8, 10, 11, 11, 10, 10, 10, 7, 7, 9, 10, 10, 9, 9, 9, 6, 6, 8, 9, 9, 8, 8, 10, 11, 11, 10, 10, 11, 10, 8, 8, 11, 11, 12, 12, 6, 6, 7, 7, 7, 9, 10, 10, 9, 9, 11, 12, 12, 11, 11, 12, 11, 9, 9, 12, 12, 15, 16, 15, 13, 13, 15, 16, 15, 5, 5, 6, 7, 7, 8, 0 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 1, 6, 10, 10, 0, 11, 11, 11, 11, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 11, 3, 3, 3, 3, 3, 0, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 12, 12, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 12, 12, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 3, 0, 0, 0, 1, 1, 1, 1, 0, 5, 0, 0, 2, 2, 2, 1, 0, 13, 13, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 3, 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, 13, 13, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 5, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 14, 14, 1, 1, 1, 1, 1, 1, 1, 2, 14, 14, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 14, 4, 4, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 0, 0, 2, 4, 4, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 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, 32, 983, 619, 617, 500, 81, 983, 203, 465, 5624, 619, 617, 5134, 203, 1070, 14785, 32, 2958, 32, 2846, 32, 9561, 1188, 34379, 35, 35, 81, 18438, 81, 4694, 619, 617, 18272, 35, 35, 81, 18438, 81, 4694, 203, 1070, 14785, 32, 2958, 32, 2846, 32, 9561, 1188, 31125, 1752, 8714, 1102, 81, 9492, 619, 617, 10518, 1752, 8714, 1102, 81, 9492, 203, 1070, 14785, 32, 2958, 32, 2846, 32, 9561, 1188, 20418, 619, 617, 4530, 203, 1070, 14785, 32, 2958, 32, 1040, 32, 4213, 81, 1358, 1188, 5239, 81, 1358, 203, 50, 4213, 81, 1358, 463, 3731, 1163, 32, 371, 81, 1017, 683, 203, 589, 622, 81, 1017, 2262, 334, 1188, 14785, 619, 5239, 334, 442, 617, 500, 81, 983, 32, 2524, 2176, 500, 81, 983, 32, 7781, 26, 4213, 3667, 761, 36762, 330, 1017, 683, 203, 50, 4213, 81, 1358, 463, 3731, 1163, 32, 371, 81, 1356, 683, 203, 589, 622, 81, 1356, 2262, 334, 1188, 14785, 619, 5239, 334, 442, 617, 500, 81, 983, 32, 2524, 2176, 500, 81, 983, 32, 7781, 26, 4213, 3667, 761, 28154, 203, 50, 4213, 81, 1358, 463, 3731, 1163, 32, 371, 81, 6993, 81, 4545, 683, 203, 589, 622, 81, 6993, 81, 4545, 2262, 334, 5736, 280, 1605, 334, 5736, 32, 1689, 12605, 59, 23, 101, 25, 904, 622, 81, 1017, 1157, 334, 5736, 32, 1689, 12605, 54, 81, 39001, 6695, 2915, 81, 4855, 81, 18272, 35, 35, 81, 18438, 6132, 86, 25, 904, 617, 18272, 35, 35, 81, 18438, 81, 4694, 27, 334, 442, 5736, 203, 50, 4213, 81, 1358, 463, 3731, 1163, 32, 371, 81, 1204, 81, 4545, 683, 203, 589, 622, 81, 1204, 81, 4545, 2262, 334, 438, 81, 4229, 280, 617, 5134, 32, 2946, 346, 610, 330, 35105, 4463, 25, 334, 2643, 280, 617, 4530, 32, 2998, 3949, 11968, 34, 79, 334, 5736, 280, 1605, 334, 415, 646, 617, 10518, 1752, 8714, 1102, 81, 9492, 44, 284, 5736, 32, 1689, 12605, 62, 23, 101, 25, 904, 622, 81, 1356, 1157, 284, 415, 438, 81, 4229, 44, 397, 5736, 32, 1689, 12605, 2159, 2408, 1867, 81, 2846, 15231, 101, 25, 904, 2643, 27, 284, 813, 44, 397, 5736, 32, 1689, 12605, 94, 44, 1356, 13223, 81, 2846, 32, 762, 15231, 101, 25, 904, 2643, 27, 334, 442, 5736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 2, 2, 4, 5, 5, 3, 3, 4, 7, 7, 7, 6, 7, 6, 9, 9, 9, 8, 9, 8, 10, 9, 10, 10, 6, 8, 8, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 2, 2, 4, 5, 5, 3, 3, 4, 7, 7, 7, 6, 7, 6, 9, 9, 9, 8, 9, 8, 10, 9, 10, 10, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 3, 6, 7, 6, 9, 9, 9, 9, 7, 7, 9, 9, 9, 3, 3, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 8, 8, 6, 3, 3, 4, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 6, 6, 5, 5, 9, 8, 9, 8, 6, 6, 8, 8, 8, 3, 3, 5, 5, 9, 8, 9, 8, 10, 7, 6, 3, 3, 5, 5, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 8, 9, 8, 11, 11, 11, 11, 9, 9, 11, 11, 11, 5, 5, 6, 7, 7, 6, 6, 6, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 6, 6, 7, 7, 7, 11, 12, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 11, 3, 3, 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 ]
[ 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, 2, 1, 1, 2, 2, 2, 0, 4, 4, 1, 1, 2, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 2, 2, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 2, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 3, 3, 2, 0, 8, 8, 1, 2, 1, 4, 1, 6, 6, 6, 8, 8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 4, 4, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 10, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 4, 4, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 12, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 2, 2, 4, 4, 0, 0, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 316, 203, 465, 15390, 605, 203, 1070, 24297, 1188, 570, 3969, 974, 203, 1070, 3363, 1188, 18394, 2338, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 878, 203, 1070, 8527, 32, 2304, 32, 18651, 1188, 7155, 18843, 959, 30, 2608, 81, 10629, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 21763, 1031, 30, 3634, 81, 4770, 203, 1070, 8527, 32, 2304, 32, 25931, 32, 21332, 1188, 4159, 81, 9244, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 298, 33170, 30, 1044, 33170, 619, 4950, 1044, 33170, 81, 10629, 203, 325, 18792, 32, 5177, 36, 44, 284, 645, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 9941, 261, 203, 3625, 2232, 280, 9254, 816, 44, 816, 461, 7650, 81, 878, 26, 106, 5594, 34, 997, 7607, 346, 474, 7650, 81, 878, 26, 106, 5594, 35, 10056, 203, 3625, 2232, 280, 2608, 81, 10629, 26, 3625, 2232, 30, 18792, 32, 878, 81, 681, 27, 203, 268, 81, 4068, 280, 316, 32, 6993, 26, 100, 20879, 3424, 4284, 110, 1162, 48813, 105, 6448, 78, 105, 6603, 110, 24, 3424, 12370, 7283, 7243, 316, 32, 71, 523, 316, 32, 69, 27, 203, 268, 81, 13000, 280, 316, 32, 6993, 26, 100, 20879, 3424, 4284, 8666, 32, 7243, 316, 32, 71, 523, 316, 32, 69, 27, 203, 268, 81, 2142, 280, 316, 32, 6993, 26, 100, 20879, 26, 4242, 49, 24183, 1481, 29, 49, 2502, 2805, 4987, 101, 1958, 6488, 41434, 10228, 4284, 370, 316, 32, 69, 27, 203, 268, 81, 890, 4446, 280, 316, 32, 6993, 26, 100, 10255, 100, 78, 96, 12302, 100, 683, 261, 203, 268, 81, 19535, 81, 1732, 280, 316, 32, 6993, 26, 100, 25, 7728, 44823, 6020, 83, 31, 108, 33192, 51, 31, 76, 1130, 110, 2009, 51, 31, 76, 729, 49, 2513, 51, 31, 76, 28094, 22, 2610, 683, 203, 589, 9804, 26, 878, 30, 1861, 711, 284, 1344, 280, 7650, 81, 878, 26, 878, 27, 284, 665, 617, 7101, 2262, 291, 436, 1628, 328, 1344, 32, 2998, 4446, 26, 1815, 711, 23688, 1769, 81, 1644, 280, 1847, 1162, 928, 32, 20643, 9442, 96, 683, 461, 1861, 474, 225, 35, 556, 1861, 471, 1861, 27, 324, 2218, 2069, 26, 928, 27, 848, 1769, 81, 1644, 44, 400, 5122, 280, 1628, 2867, 1449, 81, 1644, 474, 225, 35, 997, 100, 1809, 463, 11134, 474, 225, 35, 400, 415, 5122, 610, 225, 34, 44, 528, 5122, 280, 1628, 32, 1809, 463, 11134, 474, 225, 35, 528, 415, 5122, 610, 225, 34, 44, 715, 6761, 1628, 715, 1628, 280, 4247, 715, 1626, 400, 6761, 6611, 101, 78, 96, 25, 904, 1628, 2867, 1166, 429, 225, 35, 79, 400, 1628, 280, 1628, 77, 1166, 10056, 400, 1769, 81, 1644, 280, 1847, 1162, 928, 32, 20643, 9442, 96, 683, 461, 1861, 474, 225, 35, 556, 1861, 471, 1861, 27, 324, 415, 1628, 44, 400, 6761, 1628, 284, 442, 35617, 2524, 2176, 7101, 1157, 203, 4071, 280, 2608, 81, 10629, 26, 4071, 30, 18792, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 4, 2, 2, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 1, 3, 4, 5, 4, 5, 3, 3, 5, 5, 0, 0, 3, 3, 2, 2, 3, 3, 3, 4, 4, 10, 10, 10, 11, 10, 9, 8, 8, 7, 5, 5, 8, 8, 8, 9, 8, 8, 7, 0, 3, 3, 2, 2, 4, 4, 4, 5, 5, 4, 4, 5, 6, 6, 6, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 5, 5, 6, 7, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 7, 5, 5, 6, 7, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 4, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 5, 5, 5, 7, 8, 8, 7, 8, 7, 5, 5, 9, 9, 8, 8, 10, 16, 15, 16, 15, 18, 17, 13, 13, 14, 14, 15, 12, 12, 11, 10, 10, 6, 6, 7, 10, 11, 10, 8, 8, 9, 9, 7, 7, 7, 10, 10, 14, 17, 17, 17, 16, 16, 17, 14, 14, 14, 13, 15, 11, 11, 12, 8, 8, 9, 10, 10, 11, 9, 9, 9, 12, 12, 15, 16, 15, 17, 13, 13, 14, 10, 10, 11, 12, 12, 13, 11, 11, 11, 14, 12, 12, 14, 14, 12, 12, 8, 8, 10, 13, 14, 14, 13, 11, 11, 12, 15, 14, 14, 15, 12, 8, 8, 10, 10, 11, 13, 12, 8, 8, 11, 11, 10, 10, 12, 18, 17, 18, 17, 20, 19, 15, 15, 16, 16, 17, 14, 14, 13, 12, 12, 6, 6, 7, 7, 7, 7, 10, 2, 2, 3, 6, 5, 7, 7, 0, 3, 2, 2, 4, 4, 4, 5, 4, 4, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 4, 4, 8, 8, 0, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 10, 10, 0, 5, 5, 10, 0, 0, 0, 0, 11, 11, 1, 2, 2, 11, 11, 11, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 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, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 19, 19, 2, 1, 2, 2, 2, 19, 19, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 3, 3, 0, 0, 2, 0, 2, 3, 3, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 2, 2, 2, 2, 0, 4, 4, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3 ]
[ 1070, 13625, 1188, 31466, 203, 1070, 35094, 1188, 33845, 203, 465, 5741, 203, 465, 2322, 32, 983, 203, 465, 26313, 203, 1270, 44, 284, 1188, 281, 14686, 274, 619, 19571, 203, 7343, 29986, 44, 284, 1188, 19571, 203, 505, 464, 505, 280, 2107, 2597, 370, 330, 10569, 1959, 785, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 10421, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3320, 81, 1515, 711, 291, 630, 32, 2613, 81, 1515, 280, 3320, 81, 1515, 291, 630, 32, 2613, 280, 31466, 26, 2665, 27, 291, 630, 32, 809, 280, 26313, 32, 47678, 346, 284, 665, 1156, 4025, 3207, 784, 711, 291, 436, 2719, 81, 426, 328, 630, 32, 2613, 44, 324, 630, 32, 2853, 26, 2122, 81, 426, 27, 284, 665, 3320, 81, 2645, 26, 784, 30, 2719, 81, 426, 711, 291, 442, 2322, 32, 983, 32, 2524, 26, 784, 32, 2613, 81, 1515, 30, 330, 1113, 6782, 851, 16335, 101, 32, 2613, 25, 904, 2719, 81, 426, 27, 284, 665, 2454, 26, 784, 30, 2719, 81, 426, 711, 291, 623, 630, 32, 809, 44, 324, 415, 2719, 81, 426, 328, 630, 32, 2613, 44, 400, 442, 324, 630, 32, 2613, 77, 2122, 81, 426, 79, 280, 31466, 26, 2665, 27, 324, 4870, 280, 630, 32, 2613, 81, 2645, 26, 2122, 81, 426, 27, 324, 4082, 32, 2811, 26, 103, 25, 2597, 44, 7742, 3320, 645, 904, 101, 25, 904, 4870, 27, 324, 1596, 44, 400, 630, 32, 2613, 77, 2122, 81, 426, 79, 280, 19571, 32, 944, 26, 1676, 26, 3607, 30, 330, 4506, 2847, 324, 2940, 45338, 44, 400, 4082, 32, 1338, 463, 2597, 44, 10421, 803, 5461, 101, 20, 4163, 6945, 102, 2307, 30, 6892, 561, 25, 904, 4870, 27, 324, 2940, 21008, 924, 44, 400, 4082, 32, 731, 463, 2597, 44, 3320, 803, 5461, 101, 20, 438, 45115, 1179, 39998, 561, 4564, 904, 4870, 27, 400, 2322, 32, 2546, 26, 3607, 27, 284, 665, 4131, 26, 784, 30, 2719, 81, 426, 711, 291, 4870, 280, 630, 32, 2613, 81, 2645, 26, 2122, 81, 426, 27, 291, 4082, 32, 2811, 26, 103, 25, 2597, 44, 17093, 3320, 372, 904, 101, 25, 904, 4870, 27, 291, 623, 630, 32, 809, 44, 324, 19571, 32, 5937, 26, 784, 32, 2613, 77, 2122, 81, 426, 614, 2156, 26, 3607, 30, 330, 12108, 2847, 284, 665, 4233, 26, 784, 30, 2719, 81, 426, 711, 291, 1596, 44, 324, 2322, 32, 2546, 26, 784, 32, 2613, 81, 2645, 26, 2122, 81, 426, 490, 291, 2940, 546, 21887, 44, 324, 3097, 291, 630, 32, 2613, 77, 2122, 81, 426, 79, 280, 31466, 26, 2665, 27, 284, 665, 10814, 81, 1298, 81, 678, 26, 784, 30, 3420, 30, 9011, 47, 2521, 711, 291, 1596, 44, 324, 9011, 280, 3420, 32, 449, 81, 823, 291, 2940, 44, 324, 3097, 291, 442, 2726, 23, 101, 15231, 101, 25, 904, 308, 6933, 3667, 1647, 7642, 9011, 3667, 426, 36762, 3420, 3667, 426, 8223, 284, 665, 667, 81, 2613, 26, 784, 30, 2719, 81, 426, 30, 3420, 711, 291, 3420 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 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, 6, 6, 5, 5, 6, 7, 5, 5, 5, 9, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 7, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 8, 9, 5, 5, 5, 7, 9, 9, 8, 8, 9, 10, 7, 7, 7, 6, 6, 10, 11, 9, 10, 10, 10, 9, 8, 8, 10, 11, 10, 6, 6, 8, 8, 10, 11, 11, 11, 10, 11, 11, 11, 10, 6, 6, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 6, 6, 7, 7, 7, 12, 13, 11, 12, 12, 12, 11, 10, 10, 12, 13, 12, 14, 14, 15, 14, 14, 16, 16, 7, 7, 8, 8, 8, 8, 12, 13, 12, 15, 15, 15, 15, 15, 15, 15, 15, 16, 15, 15, 15, 15, 15, 15, 13, 13, 12, 7, 7, 8, 9, 8, 8, 8, 12, 13, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 12, 9, 9, 12, 13, 12, 13, 12, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 4, 4, 5, 8, 9, 5, 5, 5, 9, 10, 9, 12, 11, 12, 10, 11, 11, 11, 10, 9, 11, 12, 11, 11, 13, 13, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 9, 10, 9, 12, 11, 12, 12, 12, 11, 12, 12, 12, 11, 5, 5, 6, 7, 6, 6, 6, 4, 4, 8, 9, 7, 8, 8, 8, 7, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 8, 8, 9, 10, 10, 10, 5, 5, 6, 6, 6, 4, 4, 5, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 10, 8, 9, 10, 10, 6, 7, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 1, 1, 5, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 8, 8, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 3, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 4, 4, 3, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 3, 3, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 4, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 4, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 4, 4, 4, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 3, 3, 3, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 1, 3, 2, 2, 4, 4, 7, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 7, 7 ]
[ 465, 19493, 203, 465, 7744, 203, 465, 2192, 203, 465, 6234, 203, 465, 5237, 203, 465, 1133, 203, 1070, 13625, 1188, 636, 41766, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 2282, 1114, 9769, 81, 8524, 1188, 23507, 203, 1270, 44, 284, 3777, 40587, 280, 1133, 32, 1211, 40587, 203, 7343, 308, 2212, 924, 30, 29986, 711, 10065, 3777, 40587, 280, 1133, 32, 1003, 203, 505, 2116, 505, 280, 330, 903, 349, 29118, 498, 282, 1155, 25, 203, 505, 1935, 505, 280, 330, 277, 22492, 1190, 83, 33558, 1155, 50, 510, 937, 2200, 32, 508, 25, 203, 505, 1648, 505, 280, 330, 35, 32, 35, 32, 35, 25, 203, 505, 2077, 505, 280, 330, 6675, 25, 203, 505, 464, 505, 280, 428, 284, 330, 8055, 81, 4409, 370, 284, 330, 8055, 81, 3214, 370, 284, 330, 4439, 924, 370, 284, 330, 4439, 953, 370, 284, 330, 2044, 4439, 25, 203, 79, 203, 8055, 81, 4409, 280, 308, 35, 1264, 225, 34, 27, 203, 8055, 81, 3214, 280, 308, 35, 1264, 225, 35, 27, 203, 21415, 81, 4620, 280, 2933, 261, 203, 81, 35695, 81, 22287, 521, 2146, 280, 1300, 346, 261, 203, 823, 27556, 924, 26, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1137, 687, 711, 291, 2599, 26, 4439, 924, 30, 630, 14585, 1664, 16369, 291, 630, 32, 12864, 280, 1137, 687, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 3778, 4439, 924, 19493, 1279, 34, 4872, 2296, 1643, 26, 784, 32, 12864, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 3667, 13707, 16369, 203, 589, 617, 761, 2067, 81, 452, 81, 2995, 26, 761, 2067, 711, 284, 415, 6937, 26, 761, 2067, 30, 629, 711, 291, 9899, 280, 803, 2067, 284, 813, 44, 291, 1596, 44, 324, 9899, 280, 629, 26, 761, 2067, 32, 5039, 7888, 1157, 291, 2940, 308, 2212, 924, 30, 12678, 30, 10091, 711, 324, 3636, 10091, 440, 3817, 803, 1300, 44, 301, 34, 19, 100, 16054, 1643, 26, 761, 2067, 490, 284, 415, 9899, 333, 225, 34, 44, 291, 3636, 10091, 440, 3817, 803, 9866, 44, 301, 34, 16054, 1643, 26, 2995, 490, 284, 442, 9899, 203, 325, 5237, 32, 1648, 81, 1338, 2377, 308, 37, 30, 225, 39, 711, 284, 665, 617, 22475, 81, 5098, 26, 1298, 30, 4950, 319, 1132, 30, 1115, 5321, 711, 291, 1596, 44, 324, 442, 3420, 2740, 1132, 30, 1115, 5321, 27, 291, 2940, 308, 65, 21887, 30, 45338, 30, 2192, 32, 731, 27, 619, 484, 44, 324, 1137, 687, 280, 1665, 324, 415, 19326, 26, 87, 30, 313, 12864, 10280, 400, 1137, 687, 280, 484, 32, 12864, 324, 4348, 19326, 26, 87, 30, 313, 1132, 10280, 400, 1137, 687, 280, 484, 32, 1132, 77, 34, 79, 324, 3636, 27556, 924, 26, 48026, 27, 203, 1824, 44, 284, 665, 617, 22475, 81, 5098, 26, 1298, 30, 316, 10261, 81, 5457, 30, 319, 1132, 30, 1115, 5321, 711, 291, 5868, 280, 10306, 32, 371, 440, 5457, 392, 1665, 27, 291, 415, 5868, 438, 1665, 44, 324, 23192, 280, 1665, 324, 316, 10261, 81, 5457, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 5, 4, 4, 5, 6, 6, 1, 2, 2, 4, 4, 3, 3, 3, 2, 2, 6, 5, 5, 6, 7, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 2, 2, 5, 4, 4, 5, 3, 0, 3, 3, 3, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 0, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 6, 6, 5, 5, 5, 3, 3, 6, 6, 7, 3, 3, 4, 4, 4, 6, 6, 6, 9, 9, 11, 14, 14, 13, 14, 14, 13, 6, 6, 7, 9, 9, 8, 8, 8, 8, 8, 7, 7, 9, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 13, 14, 14, 13, 2, 2, 3, 4, 4, 5, 3, 3, 3, 5, 7, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 9, 2, 2, 3, 0, 1, 1, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 3, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 5, 5, 7, 9, 11, 9, 9, 11, 9, 5, 5, 6, 9, 9, 8, 8, 8, 8, 9, 10, 8, 7, 7, 6, 6, 6, 10, 9, 9, 7, 7, 8, 10, 11, 10, 10, 12, 12, 8, 8, 12, 11, 11, 12, 13, 8, 8, 9, 11, 12, 11, 11, 13, 13, 9, 9, 13, 12, 12, 14, 15, 13, 14, 13, 7, 7, 8, 10, 10, 11, 10, 1, 2, 2, 2, 2, 4, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 7, 7, 9, 10, 9, 11, 11, 9, 9, 5, 5, 6, 7, 7, 6, 6, 6, 9, 9, 7, 7, 10, 10, 10, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 7, 7, 1, 2, 2, 2, 1, 4, 1, 6, 6, 6, 7, 7, 0, 8, 8, 8, 8, 0, 0, 0, 2, 2, 2, 8, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 18, 18, 1, 2, 1, 2, 18, 18, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 19, 19, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 19, 19, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 2, 0, 20, 20, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 20, 20, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 0, 0, 0, 0, 5, 2, 0, 1, 1, 3, 3, 3, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 4, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 2, 0, 1, 1, 1, 20, 4, 4, 4, 4, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0 ]
[ 1070, 8527, 32, 1262, 32, 9331, 32, 1439, 1188, 3772, 2019, 30, 5718, 924, 30, 1930, 81, 1762, 203, 1070, 8527, 81, 3647, 81, 2282, 32, 2304, 1188, 308, 7389, 81, 11893, 81, 9715, 30, 11244, 884, 81, 11893, 81, 9715, 81, 2970, 981, 27, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 2593, 81, 36118, 1188, 1188, 81, 7632, 81, 1070, 81, 2593, 203, 1070, 816, 1647, 32, 1647, 2157, 1188, 7703, 2780, 2759, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11025, 1188, 2297, 2157, 203, 1070, 816, 1647, 32, 1286, 2157, 32, 11025, 1188, 1795, 2157, 203, 823, 5718, 26, 1761, 2019, 711, 284, 3049, 280, 330, 4196, 322, 3191, 706, 3362, 1991, 322, 1244, 7703, 2780, 25, 284, 2470, 81, 668, 280, 3772, 2019, 32, 1762, 81, 668, 474, 308, 291, 1930, 81, 1762, 12664, 18252, 689, 370, 528, 2125, 1057, 2157, 81, 1508, 370, 528, 3049, 1057, 11393, 1188, 432, 907, 1795, 1425, 284, 829, 284, 665, 2887, 26, 784, 30, 319, 1132, 30, 1115, 2184, 711, 291, 313, 7083, 322, 2016, 20, 291, 415, 2069, 26, 1132, 27, 610, 225, 34, 44, 324, 3636, 5718, 924, 440, 465, 7171, 821, 6225, 1591, 2793, 44, 333, 605, 3362, 48, 29298, 18252, 689, 79, 17633, 7632, 4921, 48, 1179, 25790, 291, 706, 81, 1515, 280, 2181, 77, 34, 79, 291, 745, 81, 465, 81, 1574, 280, 646, 2075, 32, 371, 463, 18252, 689, 370, 3177, 27, 291, 415, 2069, 26, 1132, 27, 848, 225, 35, 44, 324, 1914, 81, 15615, 280, 2181, 77, 35, 10056, 291, 813, 44, 324, 1914, 81, 15615, 280, 1665, 291, 630, 32, 9362, 32, 1821, 440, 4196, 299, 32, 225, 2398, 81, 1515, 1279, 605, 835, 1914, 81, 15615, 1279, 19013, 4104, 96, 2296, 1643, 26, 324, 706, 47, 605, 81, 1515, 30, 324, 32751, 47, 1855, 81, 15615, 30, 291, 9658, 291, 345, 2157, 280, 2297, 2157, 346, 291, 8419, 81, 3028, 280, 1188, 81, 7632, 81, 1070, 81, 2593, 26, 324, 345, 2157, 30, 7703, 2780, 2759, 32, 24756, 32, 20898, 81, 2501, 30, 706, 81, 1515, 30, 1914, 81, 15615, 30, 2454, 81, 731, 81, 3477, 47, 2700, 30, 324, 907, 81, 1286, 81, 2157, 47, 1286, 2157, 1026, 9541, 47, 1815, 30, 324, 745, 81, 465, 81, 1574, 47, 1409, 81, 465, 81, 1574, 30, 324, 1487, 81, 325, 81, 1206, 81, 2689, 47, 1815, 30, 291, 829, 291, 436, 8419, 328, 8419, 81, 3028, 44, 324, 8419, 81, 314, 280, 8419, 32, 314, 324, 415, 646, 884, 81, 11893, 81, 9715, 81, 2970, 981, 26, 7632, 81, 314, 711, 400, 630, 32, 9362, 32, 1821, 463, 11484, 299, 30002, 13479, 436, 8419, 301, 34, 4104, 96, 2473, 1643, 26, 7632, 81, 314, 490, 400, 9124, 81, 11893, 81, 9715, 26, 7632, 81, 314, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 6, 7, 7, 7, 5, 5, 6, 6, 8, 8, 8, 10, 10, 10, 8, 8, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 7, 7, 7, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 6, 6, 7, 8, 7, 4, 4, 7, 7, 7, 7, 6, 6, 7, 9, 10, 9, 11, 11, 11, 9, 9, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 9, 9, 8, 8, 9, 11, 10, 5, 5, 6, 6, 6, 10, 10, 9, 9, 4, 4, 8, 9, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 10, 9, 9, 9, 10, 11, 11, 11, 9, 9, 9, 10, 11, 11, 11, 9, 9, 9, 4, 4, 7, 6, 6, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 11, 11, 10, 11, 9, 10, 10, 10, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 10, 10, 10, 10, 9, 10, 8, 8, 8, 10, 10, 10, 10, 9, 11, 11, 11, 8, 9, 10, 8, 8, 8, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 9, 10, 8, 8, 8, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 9, 10, 6, 6, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 10, 7, 7, 12, 13, 11, 12, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 15, 14, 13, 14, 14, 14, 13, 8, 8, 11, 11, 11, 11, 11, 12, 12, 12, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 2, 1, 4, 5, 5, 0, 0, 6, 6, 2, 1, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 2, 0, 2, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 3, 2, 2, 2, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 0, 0, 0, 0, 9, 2, 1, 1, 1, 0, 0, 0, 0, 11, 0, 0, 1, 1, 13, 2, 1, 1, 1, 0, 0, 0, 0, 15, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 17, 2, 1, 1, 1, 4, 4, 8, 8, 8, 3, 3, 8, 8, 8, 0, 0, 0, 0, 2, 2, 5, 5, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 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 ]
[ 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, 466, 30, 203, 27, 203, 1070, 4377, 2304, 1188, 308, 284, 15218, 271, 924, 30, 284, 5063, 81, 916, 30, 203, 27, 203, 823, 23320, 14800, 1069, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 49, 555, 3471, 32372, 21343, 8169, 508, 33, 12390, 66, 46, 314, 8828, 78, 1804, 31, 15188, 31, 76, 6155, 2502, 2805, 7374, 49, 66, 46, 2751, 81, 314, 8828, 78, 1804, 31, 108, 31, 6155, 490, 19067, 284, 617, 3765, 280, 301, 291, 330, 965, 950, 330, 525, 555, 3471, 32372, 21343, 32, 508, 33, 23914, 41, 27773, 31, 1772, 31, 9892, 31, 1793, 31, 3303, 335, 841, 31, 12895, 31, 1409, 31, 9619, 31, 26109, 31, 289, 13093, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 23914, 41, 27773, 370, 324, 330, 2751, 81, 314, 950, 330, 1772, 31, 9892, 31, 1793, 31, 3303, 335, 841, 31, 12895, 31, 1409, 31, 9619, 31, 26109, 31, 289, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 3758, 25934, 623, 8359, 335, 841, 429, 3278, 2448, 45540, 3110, 20787, 324, 330, 2310, 950, 330, 954, 39, 44, 87, 42, 40, 41, 43, 39, 4184, 37, 37, 36, 1225, 37, 26793, 38, 40, 35, 87, 41, 85, 42, 3455, 39, 38, 36, 34613, 370, 324, 330, 12301, 950, 330, 268, 44, 80, 641, 49, 555, 3424, 8169, 3072, 37143, 291, 801, 291, 330, 2132, 950, 301, 324, 330, 5961, 81, 4984, 950, 2933, 30, 291, 320, 284, 320, 284, 665, 617, 4543, 81, 8281, 26, 784, 30, 1984, 711, 291, 345, 2067, 280, 316, 32, 2872, 26, 784, 1114, 5915, 81, 2413, 30, 1984, 27, 291, 6027, 81, 314, 280, 345, 2067, 32, 1363, 463, 314, 683, 291, 2503, 81, 314, 280, 345, 2067, 32, 1363, 463, 2751, 81, 314, 683, 291, 2519, 81, 314, 280, 2503, 81, 314, 556, 6027, 81, 314, 291, 1359, 280, 630, 1114, 4984, 81, 2593, 26, 324, 330, 525, 555, 1163, 32, 3471, 32372, 21343, 32, 508, 33, 3840, 33, 1163, 9708, 101, 25, 904, 6027, 81, 314, 30, 324, 2519, 81, 314, 30, 330, 33829, 4362, 1359, 683, 291, 415, 1359, 32, 1809, 6824, 7035, 31, 3419, 1814, 878, 610, 330, 1870, 950, 324, 3636, 15218, 271, 924, 26, 400, 6611, 101, 9884, 44, 904, 101, 25, 904, 308, 784, 32, 3989, 81, 2474, 30, 1359, 32, 1809, 6824, 3419, 81, 4792, 1814, 878, 471, 2799, 47, 1815, 27, 291, 4308, 280, 1359, 32, 1809, 6824, 5000, 33, 4642, 683, 291, 3438, 335, 81, 761, 280, 4308, 32, 22765, 710, 1745, 335, 81, 761, 785, 291, 3438, 335, 280, 630, 1114, 4984, 81, 2593, 26, 1745, 335, 81, 761, 30, 2519, 81, 314, 30, 330, 33829, 13723, 1466, 683, 291, 1695, 81, 965, 280, 3438, 335, 32, 1809, 6824, 1816, 33, 2859, 1814, 22765, 710, 1439, 785, 291, 15477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 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, 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, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 7, 7, 7, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 8, 9, 8, 10, 10, 4, 4, 7, 7, 6, 6, 9, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 8, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 8, 8, 8, 9, 9, 8, 8, 10, 10, 10, 10, 4, 4, 5, 9, 10, 9, 11, 11, 11, 11, 8, 6, 6, 8, 8, 5, 5, 7, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 10, 10, 13, 12, 13, 13, 13, 11, 11, 14, 15, 14, 16, 16, 16, 16, 13, 11, 9, 10, 11, 9, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 8, 9, 7, 9, 9, 9, 9, 9, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 9, 8, 8, 9, 9, 8, 8, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 11, 10, 11, 10, 12, 12, 12, 12, 9, 7, 9, 9, 4, 4 ]
[ 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, 3, 3, 3, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 5, 5, 1, 1, 1, 2, 1, 1, 2, 5, 5, 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, 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, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 4, 4, 5, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 4, 4 ]
[ 465, 16951, 203, 465, 3363, 203, 465, 2322, 203, 465, 5237, 203, 465, 7060, 203, 465, 18105, 612, 203, 465, 15798, 203, 50, 18986, 32, 5961, 23093, 26, 2040, 2437, 26, 500, 30, 330, 14046, 1425, 313, 1006, 7171, 2322, 32, 14046, 657, 203, 50, 18986, 32, 5961, 2797, 26, 3731, 32, 5134, 280, 347, 4463, 37, 36, 392, 313, 1006, 4881, 1420, 544, 4017, 657, 203, 50, 18986, 32, 5961, 2797, 26, 3731, 32, 5134, 610, 330, 12580, 872, 2713, 40, 370, 313, 1006, 831, 8576, 316, 771, 858, 544, 13900, 872, 2713, 40, 313, 284, 313, 325, 11154, 1159, 2583, 1654, 657, 203, 823, 2108, 10438, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 1114, 1536, 81, 4531, 280, 7060, 32, 371, 7295, 26, 7295, 32, 14840, 1844, 27, 284, 665, 28921, 26, 784, 711, 291, 7060, 32, 7295, 26, 7295, 32, 14840, 1844, 30, 630, 1114, 1536, 81, 4531, 27, 291, 15798, 32, 28771, 1114, 4295, 280, 18105, 612, 32, 20984, 953, 7870, 346, 291, 15798, 32, 28771, 1114, 15346, 81, 4531, 280, 1665, 284, 665, 894, 7203, 1972, 26, 784, 711, 291, 1244, 81, 4531, 280, 7060, 32, 371, 7295, 26, 7295, 32, 14840, 1844, 27, 291, 15798, 32, 3789, 1972, 346, 291, 630, 32, 31196, 1324, 26, 7295, 32, 371, 7295, 26, 7295, 32, 14840, 1844, 471, 1244, 81, 4531, 27, 291, 1596, 44, 324, 12497, 280, 2322, 32, 371, 6320, 346, 324, 2322, 32, 14046, 26, 6320, 30, 7060, 32, 14840, 1844, 27, 291, 2940, 21300, 19497, 44, 324, 630, 32, 5066, 440, 12371, 19497, 646, 13744, 657, 291, 630, 32, 6549, 26, 18986, 32, 28771, 1114, 15346, 81, 4531, 32, 10910, 27, 284, 665, 894, 4329, 1394, 26, 784, 711, 291, 1056, 280, 15798, 32, 41201, 346, 291, 15798, 32, 3317, 1394, 26, 1267, 27, 291, 436, 2488, 328, 15798, 32, 28771, 1114, 4295, 44, 324, 415, 2488, 438, 1056, 44, 400, 1626, 324, 4348, 2488, 438, 646, 1056, 44, 400, 630, 32, 5066, 440, 12173, 1300, 328, 1056, 739, 657, 291, 813, 44, 324, 630, 32, 5066, 440, 1267, 646, 2431, 657, 284, 665, 894, 19497, 15015, 10311, 26, 784, 711, 291, 1244, 81, 4531, 280, 7060, 32, 371, 7295, 26, 7295, 32, 14840, 1844, 27, 291, 1056, 280, 15798, 32, 41201, 346, 291, 15798, 32, 3789, 1972, 346, 291, 15798, 32, 3317, 1394, 26, 1267, 27, 291, 630, 32, 31196, 1324, 26, 7295, 32, 371, 7295, 26, 7295, 32, 14840, 1844, 471, 1244, 81, 4531, 27, 291, 665, 894, 26, 1267, 711, 324, 12497, 280, 2322, 32, 371, 6320, 346, 324, 2322, 32, 14046, 26, 6320, 30, 7060, 32, 14840, 1844, 27, 324, 1056, 32, 2969, 15015, 10311, 280, 2933, 324, 630, 32, 6549, 26, 1267, 32, 3163, 6495, 27, 291, 1596, 44, 324, 894, 26, 1267, 27, 291, 2940, 21300, 19497, 44, 324, 630, 32, 5066, 440, 12371, 19497, 646, 13744, 657, 291, 630, 32, 6549, 26, 1267, 32, 2969, 15015, 10311, 27, 284, 665, 894, 5064, 19497, 26, 784, 711, 291, 1056, 280, 15798, 32, 41201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 2, 5, 4, 5, 5, 4, 6, 6, 6, 7, 6, 6, 8, 8, 4, 6, 6, 6, 6, 6, 6, 1, 2, 5, 4, 5, 5, 4, 7, 6, 7, 5, 5, 7, 7, 7, 7, 4, 6, 6, 6, 6, 6, 6, 1, 2, 5, 4, 5, 5, 4, 7, 6, 7, 5, 5, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 1, 2, 2, 3, 3, 5, 4, 5, 3, 2, 2, 4, 5, 6, 5, 4, 4, 8, 9, 9, 9, 7, 7, 9, 10, 10, 9, 11, 10, 11, 11, 9, 3, 3, 4, 5, 6, 5, 4, 4, 8, 9, 8, 10, 9, 10, 10, 8, 8, 9, 10, 10, 10, 8, 5, 5, 9, 10, 8, 9, 7, 7, 10, 9, 10, 10, 10, 9, 5, 5, 9, 10, 8, 9, 9, 9, 7, 7, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 10, 10, 9, 11, 10, 11, 11, 9, 5, 5, 8, 9, 9, 8, 5, 5, 8, 9, 9, 8, 11, 10, 11, 11, 10, 12, 11, 12, 12, 10, 8, 9, 9, 8, 5, 5, 6, 6, 6, 9, 9, 11, 12, 12, 11, 7, 7, 10, 11, 10, 11, 10, 10, 11, 12, 12, 10, 6, 6, 7, 8, 7, 7, 7, 11, 12, 11, 13, 13, 13, 13, 13, 5, 5, 8, 9, 8, 12, 11, 12, 10, 11, 11, 11, 9, 10, 8, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 7, 7, 9, 10, 9, 5, 5, 8, 9, 9, 8, 9, 8, 5, 5, 6, 6, 6, 8, 9, 7, 8, 6, 6, 6, 8, 9, 9, 8, 8, 8, 8, 8, 9, 10, 10, 10, 9, 9, 9, 13, 14, 13, 15, 15, 15, 15, 15, 15, 6, 6, 7, 7, 7, 11, 12, 11, 13, 13, 13, 13, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 10, 10, 9, 11, 10, 11, 11, 9, 5, 5, 7, 7, 9, 10, 9, 5, 5, 8, 9, 9, 8, 5, 5, 8, 9, 9, 8, 9, 8, 5, 5, 8, 9, 9, 8, 11, 10, 11, 11, 10, 12, 11, 12, 12, 10, 8, 9, 9, 8, 5, 5, 6, 7, 8, 7, 6, 6, 9, 9, 11, 12, 12, 11, 7, 7, 10, 11, 10, 11, 10, 10, 11, 12, 12, 10, 7, 7, 10, 11, 11, 11, 9, 9, 7, 7, 10, 11, 10, 12, 11, 12, 12, 10, 5, 5, 6, 6, 6, 10, 11, 10, 6, 6, 7, 8, 7, 7, 7, 11, 12, 11, 13, 13, 13, 13, 13, 5, 5, 8, 9, 8, 10, 9, 10, 10, 10, 8, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 7, 7, 9, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 7, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 7, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 7, 3, 3, 1, 2, 0, 1, 2, 2, 3, 3, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 3, 1, 4, 4, 3, 3, 3, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 3, 3, 3, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 0, 2, 3, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 0, 2, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 3, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 6, 6, 6, 1, 1, 1, 6, 6, 3, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2 ]
[ 465, 5237, 203, 3731, 32, 983, 32, 1689, 463, 54, 6563, 933, 31, 3779, 683, 203, 465, 15798, 203, 465, 2361, 203, 465, 1044, 38749, 32, 500, 81, 716, 32, 716, 81, 5098, 619, 595, 441, 203, 465, 617, 525, 81, 44713, 619, 1913, 81, 1357, 203, 589, 617, 2998, 81, 965, 26, 965, 711, 397, 1984, 81, 2991, 280, 1984, 32, 3227, 463, 641, 555, 1195, 683, 284, 1984, 81, 2991, 280, 1984, 81, 2991, 32, 3227, 463, 525, 555, 1195, 683, 284, 5759, 280, 1984, 81, 2991, 32, 2998, 3247, 11968, 34, 79, 284, 1519, 280, 1984, 81, 2991, 77, 1657, 26, 1816, 711, 79, 284, 442, 5759, 6897, 10699, 983, 203, 589, 617, 35161, 81, 678, 26, 678, 81, 853, 711, 284, 1056, 81, 678, 280, 4247, 284, 415, 1202, 81, 853, 44, 291, 415, 1202, 81, 853, 77, 34, 79, 610, 330, 14589, 324, 1056, 81, 678, 280, 1202, 81, 853, 77, 35, 10056, 284, 442, 1056, 81, 678, 203, 589, 617, 4157, 81, 3242, 81, 2665, 26, 9980, 30, 13021, 30, 3193, 81, 966, 30, 1056, 81, 2665, 30, 5759, 711, 284, 415, 3193, 81, 966, 610, 2069, 26, 13756, 7824, 35, 44, 291, 442, 284, 4844, 318, 81, 668, 280, 2726, 7989, 50, 2473, 2524, 26, 9980, 3427, 2998, 26, 13756, 77, 2649, 81, 966, 1130, 284, 415, 5759, 44, 291, 415, 5759, 77, 34, 79, 610, 330, 14589, 324, 5759, 280, 5759, 77, 35, 10056, 284, 1056, 81, 2665, 77, 1816, 79, 280, 2149, 284, 436, 561, 328, 4844, 318, 81, 668, 44, 291, 6122, 3251, 280, 561, 32, 2998, 463, 7989, 50, 683, 291, 588, 31086, 339, 280, 6122, 3251, 77, 34, 79, 291, 588, 15623, 6479, 3950, 1266, 8372, 28381, 5107, 24374, 291, 415, 1550, 81, 1816, 77, 34, 79, 610, 330, 14589, 400, 1550, 81, 1816, 280, 1550, 81, 1816, 77, 35, 10056, 291, 415, 1550, 81, 1816, 44, 324, 1056, 81, 2665, 77, 1816, 1674, 1700, 81, 1816, 79, 280, 2149, 324, 415, 3193, 81, 966, 863, 2069, 26, 13756, 7824, 36, 44, 400, 1056, 81, 2665, 77, 1816, 1674, 1700, 81, 1816, 79, 280, 2149, 324, 813, 44, 400, 588, 22421, 3275, 9727, 25149, 18473, 16252, 21459, 3083, 1544, 79, 280, 617, 4157, 81, 2135, 81, 12729, 26, 2998, 3251, 77, 35, 19572, 324, 617, 4157, 81, 3242, 81, 2665, 26, 400, 6122, 3251, 77, 35, 23751, 8982, 13021, 30, 8982, 3193, 81, 966, 29, 35, 30, 8982, 1056, 81, 2665, 77, 1816, 614, 1550, 81, 1816, 27, 284, 588, 15623, 4967, 1081, 19421, 9216, 9446, 48603, 44287, 21900, 12189, 1520, 284, 3193, 81, 966, 474, 102, 280, 1605, 284, 436, 821, 328, 328, 81, 668, 44, 291, 415, 821, 44, 324, 1056, 81, 668, 32, 1689, 26, 269, 27, 284, 442, 1056, 81, 668, 203, 589, 617, 3242, 81, 43219, 26, 3242, 711, 284, 415, 330, 668, 25, 328, 596, 26, 681, 26, 3242, 8531, 291, 436, 821, 328, 4345, 44, 324, 1459, 3228, 102, 78, 102, 370, 821, 291, 442, 284, 588, 16729, 21449, 6479, 9216, 7997, 20271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 5, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 3, 4, 4, 4, 3, 4, 4, 4, 2, 2, 3, 0, 1, 1, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 0, 0, 3, 3, 2, 2, 5, 5, 4, 5, 4, 6, 6, 6, 6, 0, 0, 2, 2, 6, 6, 5, 6, 5, 7, 4, 3, 0, 0, 2, 2, 4, 4, 3, 6, 6, 7, 6, 3, 0, 0, 1, 3, 5, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 5, 8, 8, 7, 8, 7, 6, 6, 8, 5, 5, 9, 9, 8, 8, 10, 10, 9, 11, 10, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 5, 5, 4, 4, 7, 8, 7, 6, 3, 3, 3, 2, 2, 5, 5, 5, 4, 4, 11, 11, 11, 10, 9, 10, 9, 7, 6, 8, 7, 8, 8, 8, 7, 2, 2, 3, 3, 3, 3, 5, 7, 8, 7, 6, 6, 8, 5, 5, 8, 8, 9, 11, 10, 2, 2, 6, 6, 5, 6, 5, 4, 4, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 7, 6, 6, 8, 9, 8, 10, 10, 10, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 5, 5, 5, 5, 9, 9, 9, 8, 8, 10, 10, 10, 11, 4, 4, 5, 5, 6, 5, 5, 5, 5, 11, 11, 10, 11, 10, 9, 10, 10, 9, 6, 6, 6, 6, 7, 9, 9, 8, 8, 8, 11, 7, 7, 7, 7, 7, 13, 13, 12, 13, 12, 11, 12, 12, 11, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 12, 11, 11, 11, 13, 13, 15, 15, 15, 16, 15, 6, 6, 9, 9, 9, 9, 9, 9, 11, 11, 10, 9, 10, 10, 9, 9, 9, 9, 11, 10, 11, 9, 9, 9, 9, 9, 11, 11, 11, 11, 10, 11, 11, 10, 10, 10, 10, 9, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 6, 6, 6, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 10, 10, 10, 9, 10, 10, 9, 2, 2, 3, 3, 3, 4, 4, 4, 4, 0, 1, 2, 2, 3, 2, 1, 3, 3, 6, 8, 9, 9, 9, 8, 3, 3, 5, 5, 6, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 2, 2, 2, 0, 4, 4, 4, 1, 1, 2, 0, 5, 5, 0, 0, 0, 1, 1, 2, 2, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 10, 0, 1, 2, 0, 11, 11, 1, 1, 1, 2, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 4, 4, 2, 1, 1, 0, 12, 12, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 12, 12, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 4, 4, 0, 0, 0, 2, 0, 0, 0, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 4, 4, 1, 4, 4, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 2, 3, 3, 3, 3, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 3, 3, 1, 1, 1, 1, 0, 5, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 7, 2, 2, 7, 9, 9, 9, 1, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 0, 0, 0, 7, 7, 7, 7, 3, 3, 3, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 8, 8, 8, 1, 1, 1, 1, 0, 13, 1, 1, 1, 2, 13, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1619, 1356, 1188, 1619, 4018, 203, 1070, 7138, 1188, 2340, 30, 7138, 30, 1133, 203, 1070, 35094, 1188, 7360, 203, 465, 316, 203, 1070, 11993, 1188, 14743, 30, 5648, 30, 16545, 30, 26117, 203, 465, 11685, 203, 465, 6436, 619, 2065, 203, 465, 12643, 1114, 8820, 32, 1356, 619, 5034, 203, 1070, 12643, 32, 1262, 32, 48507, 32, 2282, 1188, 438, 81, 6665, 40, 38, 10185, 81, 12010, 30, 438, 81, 2665, 81, 6228, 30, 438, 81, 668, 81, 6228, 203, 1070, 12643, 32, 1262, 32, 48507, 32, 48507, 1188, 2821, 1003, 19508, 54, 681, 203, 1070, 12643, 32, 1262, 32, 48507, 32, 9785, 1188, 438, 3258, 203, 1070, 12643, 32, 1262, 32, 1237, 1188, 22365, 30, 20886, 203, 1070, 12643, 32, 1262, 32, 1439, 1188, 45997, 959, 203, 1070, 12643, 32, 1262, 32, 4280, 32, 770, 5571, 1188, 372, 81, 6665, 203, 823, 4428, 43139, 5413, 26, 4196, 924, 711, 284, 3097, 203, 823, 6716, 924, 26, 2338, 924, 711, 284, 3097, 203, 81, 3553, 726, 1405, 4547, 75, 81, 6585, 45421, 280, 1665, 203, 589, 617, 297, 81, 41204, 81, 3517, 444, 26, 468, 711, 284, 3649, 617, 3553, 726, 1405, 4547, 75, 81, 6585, 45421, 284, 415, 617, 3553, 726, 1405, 4547, 75, 81, 6585, 45421, 438, 1665, 44, 291, 1596, 44, 324, 1188, 30902, 324, 617, 3553, 726, 1405, 4547, 75, 81, 6585, 45421, 280, 2933, 291, 2940, 29986, 44, 324, 617, 3553, 726, 1405, 4547, 75, 81, 6585, 45421, 280, 3177, 284, 415, 617, 3553, 726, 1405, 4547, 75, 81, 6585, 45421, 44, 291, 1188, 30902, 16189, 442, 6937, 26, 468, 30, 30902, 32, 3483, 32, 6754, 444, 27, 284, 813, 44, 291, 442, 3177, 203, 589, 617, 5954, 81, 2132, 26, 2602, 30, 2803, 711, 284, 2181, 280, 428, 2602, 79, 284, 415, 2803, 438, 646, 1665, 44, 291, 415, 19326, 26, 2132, 30, 313, 3494, 10280, 23688, 2181, 1454, 428, 2132, 79, 291, 813, 44, 324, 2181, 1454, 428, 668, 26, 2132, 2177, 284, 442, 2181, 203, 589, 617, 2416, 81, 2208, 81, 4419, 81, 2669, 26, 2208, 81, 4419, 711, 284, 415, 3185, 81, 4419, 438, 2933, 556, 3185, 81, 4419, 438, 1665, 556, 3185, 81, 4419, 438, 3177, 44, 291, 3185, 81, 4419, 280, 1605, 284, 4348, 646, 19326, 26, 2208, 81, 4419, 30, 9602, 1731, 505, 10280, 291, 3185, 81, 4419, 280, 428, 2208, 81, 4419, 79, 284, 442, 3185, 81, 4419, 203, 589, 617, 2956, 81, 770, 81, 2592, 26, 748, 30, 8186, 85, 47, 2521, 30, 2179, 47, 2521, 711, 284, 415, 6937, 26, 1643, 30, 5436, 711, 291, 442, 372, 81, 6665, 26, 748, 30, 3878, 347, 3617, 392, 1115, 1643, 27, 284, 813, 44, 291, 415, 2179, 438, 1665, 461, 308, 324, 438, 39288, 26, 748, 32, 12010, 32, 681, 30, 2065, 32, 20707, 27, 324, 556, 438, 39288, 26, 748, 32, 12010, 32, 681, 30, 2065, 32, 5823, 27, 291, 8063, 324, 2179, 280, 313, 101, 20, 291, 415, 2179, 328, 3037, 54, 392, 313, 86, 392, 313, 90, 392, 313, 95, 392, 313, 101, 392 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 3, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 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, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 5, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 5, 5, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 4, 4, 5, 7, 8, 7, 7, 9, 10, 8, 9, 9, 7, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 5, 2, 2, 3, 4, 4, 4, 3, 3, 3, 5, 7, 8, 7, 7, 9, 9, 5, 5, 8, 8, 10, 9, 5, 5, 6, 6, 6, 9, 9, 12, 12, 13, 12, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 7, 7, 6, 6, 5, 5, 7, 7, 6, 6, 4, 4, 6, 6, 5, 5, 3, 3, 3, 7, 7, 6, 6, 3, 3, 4, 5, 7, 8, 8, 8, 7, 7, 9, 9, 9, 4, 4, 8, 8, 7, 7, 9, 9, 9, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 5, 6, 5, 5, 5, 3, 3, 5, 7, 7, 7, 8, 7, 7, 8, 10, 10, 7, 9, 7, 3, 3, 4, 4, 4, 6, 8, 8, 7, 7, 8, 8, 11, 11, 14, 13, 14, 12, 13, 11, 11, 12, 13, 11, 9, 9, 9, 11, 11, 14, 13, 14, 12, 13, 11, 11, 12, 13, 11, 8, 8, 6, 6, 9, 9, 11, 11, 5, 5, 6, 7, 7, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 5, 5, 0, 6, 6, 1, 1, 0, 7, 7, 0, 2, 0, 4, 1, 1, 0, 8, 8, 1, 2, 1, 4, 1, 6, 8, 8, 0, 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, 1, 6, 9, 9, 0, 0, 0, 0, 0, 10, 10, 1, 2, 1, 4, 1, 6, 10, 10, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 11, 11, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 13, 13, 1, 2, 1, 4, 1, 6, 6, 13, 13, 0, 0, 0, 14, 14, 1, 1, 2, 1, 1, 2, 14, 14, 0, 15, 15, 1, 2, 1, 1, 2, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 17, 1, 1, 1, 1, 1, 1, 2, 1, 2, 17, 17, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 0, 2, 3, 2, 2, 1, 2, 2, 4, 4, 4, 0, 0, 18, 18, 1, 1, 1, 2, 1, 2, 2, 2, 18, 18, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 2, 0, 19, 19, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 19, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 20, 20, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 5, 2, 2, 20, 20, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 3, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2 ]
[ 1070, 3089, 749, 98, 1188, 3639, 203, 1070, 638, 1188, 30032, 203, 1070, 638, 1188, 4549, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2322, 32, 983, 1188, 1399, 17611, 30, 24797, 30, 7140, 203, 6380, 2250, 81, 1515, 280, 24797, 26, 21379, 4064, 761, 28154, 203, 2897, 280, 2933, 203, 15816, 69, 280, 308, 203, 27, 203, 10656, 1614, 9135, 280, 43101, 69, 203, 20528, 69, 280, 301, 284, 330, 1536, 950, 301, 291, 330, 28137, 950, 330, 11025, 32, 1199, 32, 11514, 32, 14107, 37, 370, 4456, 330, 2474, 950, 330, 858, 32, 14107, 37, 370, 7693, 291, 330, 4975, 950, 2550, 7693, 291, 330, 13001, 950, 2550, 6019, 291, 330, 8472, 950, 2550, 7693, 291, 330, 3624, 950, 2550, 7693, 284, 320, 203, 111, 203, 4804, 81, 27368, 280, 330, 29521, 33, 828, 37147, 25, 203, 34801, 81, 3521, 280, 330, 272, 31, 352, 25, 203, 24819, 81, 779, 280, 225, 35, 203, 4855, 81, 59, 35, 42, 64, 280, 2933, 203, 4855, 81, 62, 35, 34, 64, 280, 2933, 203, 4855, 81, 19508, 280, 2933, 203, 21512, 81, 7789, 280, 4247, 203, 21512, 81, 2413, 280, 4247, 203, 14673, 81, 7789, 280, 4247, 203, 14673, 81, 2413, 280, 3056, 1574, 7404, 203, 14673, 14137, 81, 31254, 280, 308, 203, 27, 203, 14673, 14137, 81, 24714, 9135, 280, 308, 284, 330, 11025, 32, 12023, 32, 1574, 2536, 32, 1809, 483, 32, 13871, 15882, 370, 284, 330, 11025, 32, 12023, 32, 1574, 2536, 32, 1809, 483, 32, 1290, 26084, 15882, 370, 203, 27, 203, 17252, 81, 3307, 280, 330, 93, 43, 91, 34, 39, 39, 28, 108, 50, 40, 50, 43, 22, 41, 106, 13331, 105, 26, 42, 107, 38, 1990, 81, 105, 34, 50, 35, 2159, 88, 36, 22, 107, 31, 80, 9029, 80, 24, 757, 45, 302, 11041, 88, 951, 25, 203, 10115, 22368, 940, 280, 428, 284, 301, 291, 330, 36190, 950, 330, 11025, 32, 2387, 32, 11514, 32, 11025, 32, 36115, 15565, 370, 291, 330, 6870, 81, 31254, 950, 2933, 30, 284, 801, 203, 79, 203, 47589, 35291, 81, 36850, 280, 308, 284, 330, 11025, 32, 11202, 32, 2282, 32, 5240, 11063, 370, 284, 330, 11025, 32, 12023, 32, 18780, 32, 11202, 32, 3135, 11063, 370, 284, 330, 11025, 32, 11202, 32, 14250, 32, 17528, 4918, 1074, 11063, 370, 284, 330, 11025, 32, 12023, 32, 2393, 32, 11202, 32, 8161, 11063, 370, 284, 330, 11025, 32, 12023, 32, 6286, 32, 11202, 32, 1175, 11063, 370, 203, 27, 203, 7789, 81, 2413, 14594, 280, 330, 12638, 32, 11400, 25, 203, 3951, 14819, 81, 16258, 280, 330, 6380, 2250, 32, 46674, 32, 3164, 25, 203, 6585, 45421, 81, 47406, 280, 308, 284, 330, 11025, 32, 12023, 32, 2393, 370, 284, 330, 11025, 32, 12023, 32, 1286, 2516, 370, 284, 330, 11025, 32, 12023, 32, 18780, 370, 284, 330, 11025, 32, 12023, 32, 12095, 370, 284, 330, 11025, 32, 12023, 32, 6286, 370, 284, 330, 11025, 32, 12023, 32, 1574, 2536, 370, 284, 330, 12638, 370, 203, 27, 203, 39424, 8803, 81, 17945, 280, 313, 858, 50, 1935, 32, 508, 20, 203, 3602, 32384, 280, 301, 284, 330, 1648, 950, 225, 35, 30, 284, 330, 5820, 81, 12724, 81, 751, 7983, 950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 6, 6, 7, 7, 0, 3, 2, 2, 0, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 5, 4, 4, 4, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 1, 2, 7, 2, 2, 2, 1, 2, 9, 2, 2, 2, 1, 2, 11, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2 ]