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

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
depths
listlengths
512
512
sibling_idxs
listlengths
512
512
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 465, 5237, 203, 465, 18971, 203, 465, 11685, 203, 465, 15798, 203, 1070, 35094, 1188, 1974, 81, 5098, 203, 1070, 1619, 1356, 1188, 1619, 4018, 203, 1070, 10381, 93, 39583, 32, 2304, 1188, 1188, 81, 800, 30, 2290, 81, 3477, 203, 1070, 18971, 1114, 8524, 1188, 540, 3002, 1125, 30, 44524, 203, 589, 1015, 81, 452, 81, 983, 26, 983, 711, 284, 415, 646, 2322, 32, 983, 32, 34103, 26, 983, 711, 291, 3636, 26405, 463, 6953, 318, 372, 1015, 2979, 12724, 1519, 683, 284, 665, 617, 8786, 761, 26, 106, 30, 533, 711, 291, 415, 816, 610, 533, 44, 324, 442, 2933, 291, 1596, 44, 324, 442, 2322, 32, 983, 32, 8786, 761, 26, 106, 30, 533, 27, 291, 2940, 308, 2338, 924, 30, 546, 21887, 30, 29316, 711, 324, 442, 3177, 284, 5237, 32, 983, 31445, 280, 428, 106, 436, 816, 328, 5237, 32, 983, 415, 646, 617, 8786, 761, 26, 983, 30, 816, 2177, 284, 5237, 32, 983, 32, 3215, 26, 34, 30, 1519, 27, 203, 589, 3850, 81, 11192, 4137, 2262, 284, 436, 2297, 328, 2290, 81, 3477, 4064, 426, 505, 711, 291, 2047, 280, 1188, 81, 800, 26, 1647, 27, 291, 415, 19326, 26, 1803, 30, 330, 9089, 7831, 324, 6761, 2047, 32, 9089, 346, 203, 589, 2290, 81, 464, 81, 4882, 26, 9089, 711, 284, 7322, 4137, 280, 428, 9089, 79, 284, 2218, 7322, 4137, 44, 291, 309, 280, 7322, 4137, 32, 3235, 346, 291, 1596, 44, 324, 7322, 4137, 32, 8233, 26, 101, 27, 291, 2940, 12678, 44, 324, 6761, 309, 30, 6611, 101, 15231, 101, 15231, 101, 25, 904, 308, 400, 309, 3667, 823, 29215, 1647, 7642, 400, 309, 3667, 823, 29215, 426, 7642, 400, 309, 1114, 858, 21781, 324, 829, 203, 50, 1819, 4018, 203, 589, 2368, 81, 19991, 2262, 284, 11685, 32, 6656, 2029, 463, 1536, 370, 6215, 47, 685, 22359, 5711, 27, 284, 10582, 280, 11685, 32, 9211, 284, 11685, 32, 9211, 280, 10582, 31445, 284, 3610, 81, 2245, 5691, 280, 11685, 32, 2245, 5691, 284, 1245, 280, 1605, 284, 665, 2519, 5691, 26, 1436, 30, 6215, 30, 4870, 30, 39997, 30, 803, 47, 2521, 30, 1628, 47, 2521, 711, 291, 1245, 32, 1689, 26, 22457, 1157, 284, 1596, 44, 291, 11685, 32, 2245, 5691, 280, 2519, 5691, 291, 6761, 1245, 284, 8295, 44, 291, 11685, 32, 9211, 280, 10582, 291, 11685, 32, 2245, 5691, 280, 3610, 81, 2245, 5691, 203, 50, 1819, 4018, 203, 589, 2368, 81, 8228, 2262, 284, 3610, 81, 8228, 280, 5237, 32, 8228, 284, 5237, 32, 8228, 280, 13675, 280, 44524, 346, 284, 1596, 44, 291, 6761, 13675, 284, 8295, 44, 291, 5237, 32, 8228, 280, 3610, 81, 8228, 203, 589, 47119, 81, 1647, 81, 44136, 81, 5691, 26, 88, 711, 284, 665, 537, 81, 88, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 623, 2368, 81, 19991, 346, 619, 1245, 44, 324, 296, 26, 784, 30, 319, 1132, 30, 1115, 5321, 27, 324, 630, 32, 862, 81, 1508, 26, 751, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 7, 8, 6, 7, 6, 7, 6, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 4, 4, 5, 5, 5, 7, 10, 11, 9, 10, 10, 9, 10, 9, 9, 9, 5, 5, 6, 8, 8, 7, 7, 8, 7, 7, 7, 6, 6, 8, 2, 2, 6, 7, 5, 4, 4, 6, 5, 6, 6, 6, 7, 8, 5, 6, 7, 9, 9, 9, 10, 9, 9, 9, 2, 2, 6, 7, 5, 6, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 3, 3, 5, 5, 5, 6, 6, 5, 3, 3, 6, 6, 8, 8, 8, 9, 8, 4, 4, 5, 7, 8, 7, 7, 9, 9, 5, 5, 8, 10, 11, 10, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 5, 2, 2, 3, 4, 3, 3, 3, 6, 6, 9, 8, 9, 8, 4, 4, 5, 5, 5, 10, 9, 10, 9, 10, 9, 5, 5, 6, 6, 6, 6, 9, 10, 10, 13, 13, 13, 13, 13, 13, 11, 11, 12, 12, 14, 15, 15, 14, 14, 12, 12, 14, 15, 15, 14, 14, 12, 12, 13, 14, 14, 12, 12, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 2, 2, 6, 7, 7, 6, 8, 8, 6, 7, 8, 8, 8, 6, 3, 3, 5, 5, 6, 7, 3, 3, 6, 7, 5, 5, 6, 3, 3, 6, 6, 6, 5, 5, 6, 7, 7, 3, 3, 5, 5, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 8, 9, 8, 10, 10, 3, 3, 4, 4, 4, 8, 9, 9, 7, 7, 8, 5, 5, 7, 4, 4, 5, 5, 5, 9, 10, 8, 8, 6, 6, 9, 10, 10, 8, 8, 9, 9, 9, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 2, 2, 6, 6, 5, 5, 6, 7, 3, 3, 6, 7, 5, 5, 6, 6, 8, 3, 3, 4, 4, 4, 7, 4, 4, 5, 5, 5, 9, 10, 8, 8, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 10, 10, 10, 8, 8, 5, 5, 5, 9, 10, 9, 9, 11, 9, 9, 11, 9, 6, 6, 9, 10, 10, 10, 9, 10, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 8, 8, 0, 0, 1, 2, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 1, 2, 9, 9, 0, 0, 9, 9, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 0, 4, 4, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 3, 2, 2, 3, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 1, 1, 13, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 4, 4, 5, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 5, 5, 0, 2, 1, 0, 1, 4, 4, 6, 6, 6, 0, 2, 2, 0, 0, 2, 2, 2, 0, 6, 6, 3, 3, 3, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 14, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 1, 4, 4, 2, 2, 2, 0, 2, 2, 3, 3, 3, 0, 2, 0, 0, 2, 2, 0, 15, 15, 1, 1, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1 ]
[ 9441, 687, 280, 5881, 203, 589, 13296, 520, 447, 1413, 66, 2183, 12703, 73, 81, 45770, 81, 45770, 301, 284, 18186, 18113, 90, 30, 816, 95, 696, 30, 816, 95, 696, 95, 30, 1447, 47, 35, 30, 1334, 47, 35, 284, 18186, 816, 95, 696, 30, 816, 95, 696, 30, 816, 95, 696, 95, 30, 1447, 47, 34, 30, 1334, 47, 35, 203, 1255, 203, 589, 13296, 520, 447, 1413, 66, 2183, 12703, 73, 81, 45770, 81, 63, 301, 284, 456, 1479, 98, 1044, 4426, 35, 30, 7476, 30, 309, 930, 30, 24590, 30, 706, 1250, 47, 42, 284, 18186, 18113, 90, 30, 816, 95, 696, 30, 1044, 4426, 35, 30, 1447, 47, 35, 30, 1334, 47, 35, 284, 18186, 816, 95, 696, 30, 816, 95, 696, 30, 1044, 4426, 35, 30, 1447, 47, 34, 30, 1334, 47, 35, 203, 1255, 203, 589, 13296, 520, 447, 1413, 66, 2183, 12703, 73, 81, 45770, 81, 66, 301, 284, 18940, 639, 273, 41, 284, 456, 1479, 98, 1044, 4426, 35, 30, 7476, 30, 11318, 1001, 94, 30, 24590, 30, 706, 1250, 47, 42, 284, 18186, 18113, 90, 30, 816, 95, 696, 30, 1044, 4426, 35, 30, 1447, 47, 35, 30, 1334, 47, 35, 284, 18186, 816, 95, 696, 30, 816, 95, 696, 30, 1044, 4426, 35, 30, 1447, 47, 34, 30, 1334, 47, 35, 203, 1255, 203, 589, 13296, 520, 447, 1413, 66, 2183, 62, 10394, 81, 45770, 81, 45770, 301, 284, 18186, 18113, 90, 30, 816, 95, 696, 30, 816, 95, 696, 95, 30, 1447, 47, 35, 30, 1334, 47, 36, 284, 18186, 816, 95, 696, 30, 816, 95, 696, 30, 816, 95, 696, 95, 30, 1447, 47, 34, 30, 1334, 47, 36, 203, 1255, 203, 589, 13296, 520, 447, 1413, 66, 2183, 62, 10394, 81, 45770, 81, 63, 301, 284, 456, 1479, 98, 1044, 4426, 35, 30, 7476, 30, 309, 930, 30, 24590, 30, 706, 1250, 47, 42, 284, 18186, 18113, 90, 30, 816, 95, 696, 30, 1044, 4426, 35, 30, 1447, 47, 35, 30, 1334, 47, 36, 284, 18186, 816, 95, 696, 30, 816, 95, 696, 30, 1044, 4426, 35, 30, 1447, 47, 34, 30, 1334, 47, 36, 203, 1255, 203, 589, 13296, 520, 447, 1413, 66, 2183, 62, 10394, 81, 45770, 81, 66, 301, 284, 18940, 639, 273, 41, 284, 456, 1479, 98, 1044, 4426, 35, 30, 7476, 30, 11318, 1001, 94, 30, 24590, 30, 706, 1250, 47, 42, 284, 18186, 18113, 90, 30, 816, 95, 696, 30, 1044, 4426, 35, 30, 1447, 47, 35, 30, 1334, 47, 36, 284, 18186, 816, 95, 696, 30, 816, 95, 696, 30, 1044, 4426, 35, 30, 1447, 47, 34, 30, 1334, 47, 36, 203, 1255, 203, 589, 13296, 520, 447, 1413, 66, 2183, 7118, 67, 81, 45770, 81, 45770, 301, 284, 18186, 18113, 90, 30, 816, 95, 696, 30, 816, 95, 696, 95, 30, 1447, 47, 35, 30, 1334, 47, 38, 284, 18186, 816, 95, 696, 30, 816, 95, 696, 30, 816, 95, 696, 95, 30, 1447, 47, 34, 30, 1334, 47, 38, 203, 1255, 203, 589, 13296, 520, 447, 1413, 66, 2183 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1277, 21329, 203, 465, 894, 4313, 203, 465, 526, 17685, 32, 3378, 32, 5623, 203, 465, 526, 17685, 32, 4338, 32, 5623, 1071, 203, 465, 526, 17685, 32, 13507, 32, 5623, 4627, 203, 465, 20894, 32, 6319, 32, 57, 4520, 203, 465, 20894, 32, 6319, 32, 24883, 203, 465, 5741, 203, 465, 2322, 32, 983, 203, 465, 29590, 203, 589, 40688, 81, 1647, 26, 1647, 711, 334, 1201, 26, 858, 4313, 32, 22589, 81, 1553, 81, 1831, 346, 610, 2933, 27, 203, 823, 2108, 1917, 44, 334, 665, 894, 81, 40109, 81, 1793, 81, 1160, 26, 784, 711, 284, 1542, 280, 526, 17685, 32, 3378, 32, 5623, 32, 7926, 346, 284, 5932, 280, 526, 17685, 32, 13507, 32, 5623, 4627, 32, 1917, 26, 1160, 27, 284, 1201, 26, 4627, 32, 1160, 610, 1542, 27, 284, 1201, 26, 4627, 32, 1071, 610, 1665, 27, 284, 1201, 26, 1657, 26, 4627, 1114, 9211, 27, 610, 225, 34, 27, 334, 665, 894, 81, 40109, 81, 1793, 81, 9211, 26, 784, 711, 284, 1542, 280, 526, 17685, 32, 3378, 32, 5623, 32, 7926, 346, 284, 2202, 280, 526, 17685, 32, 4338, 32, 5623, 1071, 32, 1722, 346, 284, 2761, 280, 526, 17685, 32, 8774, 32, 1567, 32, 11075, 720, 2348, 26, 864, 17685, 32, 8774, 32, 1567, 32, 5757, 6873, 27, 284, 5932, 280, 526, 17685, 32, 13507, 32, 5623, 4627, 32, 1917, 26, 1160, 30, 2761, 27, 284, 1201, 26, 1657, 26, 4627, 1114, 9211, 27, 610, 225, 35, 27, 284, 1201, 26, 4627, 1114, 9211, 77, 34, 79, 610, 2761, 27, 203, 823, 2108, 3728, 1917, 44, 334, 665, 894, 81, 3163, 81, 8788, 81, 12655, 81, 1160, 26, 784, 711, 284, 2202, 280, 526, 17685, 32, 4338, 32, 5623, 1071, 32, 1722, 346, 284, 5932, 280, 526, 17685, 32, 13507, 32, 5623, 4627, 32, 3728, 1917, 26, 1160, 280, 1665, 27, 284, 1201, 26, 4627, 32, 1160, 610, 1665, 27, 334, 665, 894, 81, 3163, 81, 8788, 81, 1793, 81, 1160, 26, 784, 711, 284, 1542, 280, 526, 17685, 32, 3378, 32, 5623, 32, 7926, 346, 284, 5932, 280, 526, 17685, 32, 13507, 32, 5623, 4627, 32, 3728, 1917, 26, 1160, 280, 1542, 27, 284, 1201, 26, 4627, 32, 1160, 610, 1542, 27, 334, 665, 894, 81, 3163, 81, 8788, 81, 12655, 81, 2544, 26, 784, 711, 284, 2202, 280, 526, 17685, 32, 4338, 32, 5623, 1071, 32, 1722, 346, 284, 5932, 280, 526, 17685, 32, 13507, 32, 5623, 4627, 32, 3728, 1917, 26, 2544, 280, 1665, 27, 284, 1201, 26, 4627, 1114, 2544, 610, 1665, 27, 334, 665, 894, 81, 3163, 81, 8788, 81, 1793, 81, 2544, 26, 784, 711, 284, 2202, 280, 526, 17685, 32, 4338, 32, 5623, 1071, 32, 1722, 346, 284, 5932, 280, 526, 17685, 32, 13507, 32, 5623, 4627, 32, 3728, 1917, 26, 2544, 280, 630, 27, 284, 1201, 26, 4627, 1114, 2544, 610, 630, 27, 334, 665, 894, 81, 3163, 81, 8788, 81, 12655, 81, 1071, 26, 784, 711, 284, 2202, 280, 526, 17685, 32, 4338, 32, 5623, 1071, 32, 1722, 346, 284, 5932, 280, 526, 17685 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 8, 8, 7, 8, 8, 8, 8, 8, 7, 5, 5, 4, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 11, 10, 11, 9, 10, 8, 9, 8, 4, 4, 6, 6, 11, 10, 11, 9, 10, 10, 8, 9, 8, 9, 8, 4, 4, 6, 9, 8, 9, 7, 7, 6, 4, 4, 6, 9, 8, 9, 7, 7, 6, 4, 4, 6, 9, 9, 11, 10, 11, 9, 7, 7, 8, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 11, 10, 11, 9, 10, 8, 9, 8, 4, 4, 6, 6, 11, 10, 11, 9, 10, 10, 8, 9, 8, 4, 4, 6, 6, 11, 10, 11, 9, 10, 8, 9, 9, 9, 8, 12, 12, 11, 12, 10, 11, 9, 10, 10, 8, 4, 4, 6, 6, 11, 10, 11, 9, 10, 10, 8, 9, 8, 9, 8, 8, 8, 4, 4, 6, 9, 9, 11, 10, 11, 9, 7, 7, 8, 6, 4, 4, 6, 10, 9, 10, 8, 9, 8, 7, 7, 6, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 11, 10, 11, 9, 10, 10, 8, 9, 8, 4, 4, 6, 6, 11, 10, 11, 9, 10, 10, 8, 9, 9, 8, 10, 9, 9, 8, 4, 4, 6, 9, 8, 9, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 11, 10, 11, 9, 10, 8, 9, 8, 4, 4, 6, 6, 11, 10, 11, 9, 10, 10, 8, 9, 9, 8, 10, 9, 9, 8, 4, 4, 6, 9, 8, 9, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 11, 10, 11, 9, 10, 10, 8, 9, 8, 4, 4, 6, 6, 11, 10, 11, 9, 10, 10, 8, 9, 9, 8, 10, 9, 9, 8, 4, 4, 6, 9, 8, 9, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 11, 10, 11, 9, 10, 10, 8, 9, 8, 4, 4, 6, 6, 11, 10, 11, 9, 10, 10, 8, 9, 9, 8, 10, 9, 9, 8, 4, 4, 6, 9, 8, 9, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 11, 10, 11, 9, 10, 10, 8, 9, 8, 4, 4, 6, 6, 11 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 0, 3, 3, 0, 1, 2, 1, 4, 4, 0, 4, 4, 0, 1, 2, 1, 4, 4, 0, 5, 5, 1, 2, 1, 4, 4, 0, 6, 6, 1, 2, 1, 4, 0, 7, 7, 0, 8, 8, 1, 2, 0, 9, 9, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 11, 11, 1, 11, 11, 11, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 1, 4, 4, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 4, 4, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 12, 12, 1, 1, 12, 12, 12, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 1, 3, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0 ]
[ 465, 316, 203, 465, 1671, 203, 1070, 12905, 32, 1262, 32, 751, 1188, 622, 81, 4073, 203, 1070, 12905, 32, 5613, 32, 5613, 81, 3922, 1188, 7155, 2825, 203, 1070, 12905, 32, 5613, 32, 3922, 32, 2282, 81, 7920, 307, 1188, 766, 284, 23742, 81, 18103, 81, 2826, 81, 2918, 81, 29396, 30, 766, 284, 16739, 81, 5137, 81, 4683, 81, 12873, 81, 63, 12873, 81, 29396, 203, 1070, 12905, 32, 5613, 32, 3922, 32, 16064, 1188, 766, 284, 343, 573, 81, 1003, 81, 452, 81, 38630, 203, 1070, 12905, 32, 1262, 32, 2282, 1188, 3772, 2759, 203, 1070, 12905, 32, 1262, 32, 11452, 1188, 36187, 43451, 203, 1070, 12905, 32, 1262, 32, 17960, 32, 5613, 81, 605, 81, 20314, 1188, 766, 284, 2398, 15043, 30, 766, 284, 2398, 15043, 953, 30, 766, 284, 2398, 15043, 882, 203, 751, 280, 622, 81, 4073, 346, 203, 505, 2116, 505, 280, 330, 15702, 587, 4300, 2903, 25, 203, 505, 2077, 505, 280, 330, 19743, 225, 36, 32, 34, 25, 203, 15205, 81, 45852, 280, 540, 2473, 37849, 4696, 203, 17905, 81, 12644, 280, 323, 25, 40817, 106, 34, 34, 15641, 4769, 1130, 25, 958, 203, 17905, 81, 15456, 280, 323, 25, 40817, 106, 34, 34, 15641, 4769, 8274, 36, 1748, 25, 261, 203, 17905, 81, 10129, 280, 323, 25, 40817, 106, 34, 34, 15641, 4769, 8274, 38, 1748, 25, 264, 203, 13184, 280, 330, 330, 203, 7383, 81, 9779, 280, 32096, 203, 3285, 81, 9779, 280, 39691, 203, 14880, 280, 15154, 81, 9779, 474, 23742, 81, 18103, 81, 2826, 81, 2918, 81, 29396, 474, 40074, 474, 16739, 81, 5137, 81, 4683, 81, 12873, 81, 63, 12873, 81, 29396, 474, 7082, 81, 9779, 203, 7383, 81, 26580, 280, 540, 10255, 710, 203, 3285, 81, 26580, 280, 540, 10255, 18262, 203, 26580, 81, 29396, 280, 15154, 81, 9779, 2033, 203, 26580, 81, 29396, 1454, 38203, 474, 40074, 261, 203, 26580, 81, 29396, 1454, 15154, 81, 26580, 647, 203, 26580, 81, 29396, 1454, 2964, 81, 45852, 2264, 203, 26580, 81, 29396, 1454, 7082, 81, 26580, 351, 203, 26580, 81, 29396, 1454, 2964, 81, 45852, 2264, 203, 26580, 81, 29396, 1454, 540, 10255, 96, 25, 3389, 203, 26580, 81, 29396, 1454, 7082, 81, 9779, 474, 43563, 262, 203, 26580, 81, 15895, 527, 280, 316, 32, 6993, 26, 26580, 81, 29396, 27, 203, 33631, 81, 4601, 81, 29396, 280, 38203, 474, 40074, 264, 203, 33631, 81, 4601, 81, 29396, 1454, 15154, 81, 9779, 263, 203, 33631, 81, 4601, 81, 29396, 1454, 540, 32312, 29173, 1724, 78, 86, 9905, 351, 203, 33631, 81, 4601, 81, 29396, 1454, 540, 25, 4987, 86, 109, 38, 1748, 25, 2033, 203, 33631, 81, 4601, 81, 29396, 1454, 540, 25, 4987, 86, 109, 41, 4104, 5327, 86, 109, 36, 1748, 25, 261, 203, 33631, 81, 4601, 81, 29396, 1454, 44129, 81, 15456, 351, 203, 33631, 81, 4601, 81, 29396, 1454, 15154, 81, 9779, 263, 203, 33631, 81, 4601, 81, 29396, 1454, 44129, 81, 10129, 263, 203, 33631, 81, 4601, 81, 29396, 1454, 44129, 81, 10129, 263, 203, 33631, 81, 4601, 81, 29396, 1454, 44129, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 2, 1, 3, 3, 0, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 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, 0, 3, 3, 3, 2, 2, 4, 4, 5, 5, 5, 4, 5, 4, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 4, 0, 0, 3, 2, 2, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 2, 2, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 3, 3, 0, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 6, 6, 6, 4, 4, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 6, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 3, 5, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 8, 8, 3, 8, 0, 8, 8, 6, 8, 0, 0, 8, 8, 9, 8, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
[ 1070, 638, 1293, 1188, 21008, 203, 1070, 638, 8395, 1188, 6512, 55, 1028, 203, 1070, 638, 8395, 81, 1439, 1188, 26012, 81, 12252, 81, 3214, 81, 3349, 81, 5221, 780, 81, 2320, 203, 1070, 638, 8395, 81, 1439, 1188, 6512, 1419, 2019, 203, 1070, 676, 410, 381, 3291, 1188, 538, 203, 1070, 676, 410, 381, 3291, 32, 327, 32, 327, 81, 731, 1188, 5900, 81, 8606, 81, 29940, 203, 1070, 676, 410, 381, 3291, 32, 327, 32, 327, 81, 731, 1188, 48197, 924, 203, 5431, 81, 5431, 81, 22902, 280, 301, 284, 330, 486, 950, 330, 761, 1643, 370, 284, 330, 1771, 950, 330, 7003, 370, 284, 330, 1325, 950, 330, 761, 8644, 370, 284, 330, 40019, 266, 950, 330, 40019, 3172, 370, 203, 111, 203, 50, 327, 32, 2501, 463, 29307, 464, 370, 330, 105, 9493, 683, 203, 50, 327, 32, 2501, 463, 106, 464, 370, 330, 2925, 683, 203, 823, 6512, 2019, 2538, 2185, 28751, 1934, 26, 1763, 1419, 2019, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2803, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 17094, 1664, 3207, 2132, 30, 715, 26012, 81, 12252, 81, 3214, 81, 3349, 81, 5221, 780, 81, 2320, 30, 715, 330, 29307, 464, 370, 319, 1132, 30, 1115, 5321, 27, 291, 630, 32, 2468, 444, 280, 2933, 291, 630, 32, 1977, 81, 2501, 280, 330, 327, 81, 1821, 81, 363, 81, 16997, 81, 464, 25, 284, 477, 2433, 284, 665, 2075, 26, 784, 711, 291, 442, 630, 32, 2132, 710, 1046, 785, 203, 589, 8971, 81, 2501, 81, 1821, 81, 363, 81, 16997, 81, 464, 26, 1293, 711, 284, 2803, 280, 301, 291, 330, 1046, 950, 2550, 284, 320, 284, 1603, 32, 5961, 463, 11134, 284, 1603, 32, 3617, 346, 284, 281, 280, 1603, 32, 19885, 346, 284, 415, 281, 610, 10699, 950, 291, 1603, 32, 2358, 37984, 683, 291, 1603, 32, 3617, 346, 291, 345, 280, 1603, 32, 2358, 81, 2872, 26, 400, 540, 25, 18470, 88, 18470, 414, 6505, 88, 18470, 494, 269, 6505, 8666, 2805, 761, 6505, 1325, 18470, 431, 299, 6505, 8666, 2805, 1347, 6505, 1771, 18470, 672, 6505, 110, 3371, 110, 3176, 2502, 49, 12194, 101, 39756, 7243, 400, 9254, 44, 48197, 924, 26, 2203, 81, 8606, 81, 29940, 490, 291, 636, 280, 345, 32, 1363, 26, 34, 27, 291, 2803, 710, 1046, 785, 280, 10952, 81, 5431, 81, 22902, 32, 371, 26, 426, 30, 636, 27, 291, 1603, 32, 3617, 346, 284, 1603, 32, 2358, 26, 9471, 27, 284, 442, 1665, 30, 428, 1763, 2019, 2538, 2185, 28751, 1934, 26, 2132, 471, 6512, 55, 1028, 7662, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 0, 2, 5, 4, 5, 4, 6, 6, 6, 4, 6, 6, 6, 1, 2, 5, 4, 5, 4, 6, 6, 6, 4, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 4, 5, 5, 6, 5, 5, 5, 5, 7, 5, 5, 7, 5, 4, 4, 10, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 10, 10, 10, 8, 10, 8, 8, 10, 8, 5, 5, 8, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 6, 4, 4, 5, 6, 7, 6, 5, 5, 7, 9, 10, 8, 10, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 5, 5, 8, 8, 6, 5, 5, 2, 2, 5, 6, 5, 7, 2, 2, 5, 6, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 6, 3, 3, 7, 8, 7, 9, 4, 4, 7, 8, 7, 4, 4, 6, 6, 8, 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, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 11, 11, 12, 12, 12, 12, 12, 11, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 9, 9, 6, 6, 9, 9, 9, 9, 8, 9, 8, 9, 8, 8, 8, 4, 4, 7, 8, 7, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 8, 7, 5, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 1, 2, 1, 4, 4, 4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 1, 2, 2, 2, 1, 1, 2, 7, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 8, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 8, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 2, 2, 1, 2, 1, 2, 2, 4, 4, 0, 2, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 4, 1, 1, 2, 4, 4, 0, 2, 1, 2, 3, 3, 0, 2, 1, 3, 3, 0, 0, 0, 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, 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, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 6, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 533, 4072, 81, 1262, 203, 4545, 280, 428, 203, 27941, 14993, 370, 203, 27941, 73, 7615, 370, 203, 27941, 73, 731, 370, 203, 27941, 32158, 31, 3222, 31, 3222, 370, 203, 27941, 32158, 31, 9972, 32469, 31, 19894, 370, 203, 27941, 88, 11452, 370, 203, 27941, 11679, 2897, 370, 203, 27941, 54, 4855, 81, 1583, 5289, 81, 5762, 815, 2916, 370, 203, 27941, 1530, 47, 85, 1046, 35, 38, 370, 203, 27941, 106, 370, 203, 25, 9615, 370, 203, 25, 287, 9615, 31, 983, 370, 3056, 3381, 33, 1696, 33, 9615, 370, 203, 27941, 59, 370, 330, 1617, 370, 203, 27941, 59, 370, 330, 1617, 33, 37, 5334, 81, 9744, 370, 203, 79, 203, 31670, 81, 4603, 81, 6175, 280, 4247, 203, 325, 2322, 32, 983, 32, 4658, 26, 16260, 81, 4603, 81, 6175, 8063, 334, 3500, 280, 533, 4072, 81, 1262, 32, 25367, 3954, 26, 16260, 81, 4603, 81, 6175, 829, 203, 1824, 44, 334, 3500, 280, 1665, 203, 8182, 81, 19814, 69, 280, 428, 5608, 3766, 370, 5608, 9802, 25, 1481, 203, 589, 10608, 1419, 2272, 3206, 2262, 334, 442, 2322, 32, 983, 32, 7781, 26, 2322, 32, 983, 32, 21379, 26, 1156, 761, 505, 829, 829, 203, 589, 6400, 11777, 9651, 383, 4629, 12043, 26, 5736, 30, 4740, 81, 5660, 8063, 334, 415, 646, 4740, 81, 5660, 44, 284, 442, 1149, 26, 5736, 829, 334, 537, 81, 4545, 280, 1605, 334, 1930, 81, 1978, 81, 11148, 280, 3177, 334, 1519, 81, 4545, 280, 428, 6470, 297, 759, 370, 6470, 59, 370, 6470, 91, 7345, 370, 11363, 3731, 2388, 1057, 1481, 334, 436, 4655, 328, 5736, 44, 284, 537, 81, 4555, 280, 4655, 284, 415, 1930, 81, 1978, 81, 11148, 44, 397, 1930, 81, 1978, 81, 11148, 280, 3177, 397, 415, 646, 4655, 32, 15990, 26, 13637, 8063, 291, 537, 81, 4555, 280, 2322, 32, 983, 32, 2524, 26, 4740, 81, 5660, 30, 4655, 829, 284, 436, 1519, 81, 4555, 328, 1519, 81, 4545, 44, 397, 415, 4655, 610, 1519, 81, 4555, 44, 291, 1930, 81, 1978, 81, 11148, 280, 2933, 291, 1626, 397, 415, 4655, 32, 15990, 26, 1519, 81, 4555, 8063, 291, 1519, 280, 4655, 77, 2069, 26, 1519, 81, 4555, 8063, 1481, 291, 537, 81, 4555, 280, 1519, 81, 4555, 474, 2322, 32, 983, 32, 2524, 26, 4740, 81, 5660, 30, 1519, 829, 291, 1626, 284, 415, 537, 81, 4555, 44, 397, 537, 81, 4545, 32, 1689, 26, 537, 81, 4555, 829, 334, 442, 537, 81, 4545, 203, 589, 3611, 2644, 974, 26, 4870, 8063, 334, 5016, 280, 2322, 32, 983, 32, 48271, 26, 4870, 829, 77, 225, 35, 1481, 334, 442, 5016, 328, 428, 5608, 90, 370, 5608, 31381, 370, 5608, 4962, 370, 5608, 10429, 25, 1481, 203, 589, 1390, 25367, 1120, 1562, 974, 26, 4870, 8063, 334, 415, 3611, 2644, 974, 26, 4870, 8063, 284, 29155, 280, 2322, 32, 983, 32, 48271, 26, 4870, 829, 77, 225, 34, 1481, 284, 436, 5016, 328, 36793, 81, 19814, 69, 44, 397, 15909, 81, 761, 280, 29155, 474, 5016, 397, 415, 2322, 32, 983 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 2, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 4, 5, 3, 4, 3, 3, 4, 4, 4, 4, 3, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 6, 6, 7, 7, 7, 7, 6, 1, 2, 2, 2, 2, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 5, 5, 3, 5, 5, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 6, 7, 5, 6, 5, 5, 8, 9, 7, 8, 7, 7, 8, 8, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 5, 3, 3, 3, 5, 7, 7, 7, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 9, 9, 9, 9, 8, 8, 6, 6, 7, 8, 10, 11, 10, 10, 10, 7, 7, 11, 11, 10, 10, 13, 14, 12, 13, 12, 12, 13, 13, 12, 12, 12, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 7, 8, 8, 9, 9, 7, 7, 7, 11, 11, 11, 11, 10, 10, 8, 8, 6, 6, 7, 9, 10, 9, 9, 10, 10, 9, 7, 7, 10, 10, 11, 11, 14, 14, 15, 15, 14, 11, 8, 8, 11, 11, 10, 10, 12, 12, 11, 11, 14, 15, 13, 14, 13, 13, 14, 14, 13, 13, 13, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 10, 10, 9, 10, 9, 9, 10, 10, 9, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 8, 9, 7, 8, 7, 7, 7, 5, 5, 6, 5, 2, 2, 3, 4, 4, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 5, 5, 5, 5, 5, 3, 3, 6, 6, 10, 11, 9, 10, 9, 9, 9, 7, 7, 8, 7, 4, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 9, 9, 6, 6, 7, 10, 11 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 6, 6, 1, 1, 1, 2, 6, 6, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 7, 7, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 5, 5, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 5, 5, 3, 1, 1, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 0, 8, 8, 1, 1, 2, 2, 2, 8, 8, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 9, 9, 1, 1, 1, 1, 2, 2, 2, 9, 9, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 0, 0, 2, 2, 5, 5, 1, 0, 2 ]
[ 1070, 638, 4457, 2067, 1188, 24991, 959, 203, 1070, 638, 3977, 360, 460, 1188, 9821, 1761, 203, 1070, 638, 1206, 872, 460, 1188, 5830, 1761, 203, 1070, 638, 2142, 1439, 1188, 9130, 1761, 203, 1070, 638, 2437, 1439, 1188, 34973, 2212, 1761, 203, 1070, 638, 6426, 612, 1188, 28759, 2084, 203, 1070, 638, 913, 1188, 9448, 7674, 1438, 30, 48902, 30, 46798, 12631, 203, 1070, 638, 33801, 1439, 1188, 701, 7224, 53, 9982, 1761, 203, 1070, 4377, 913, 1188, 14899, 7108, 69, 81, 11144, 55, 619, 485, 6921, 203, 81, 280, 485, 6921, 32, 7485, 32, 33170, 203, 823, 6374, 26, 4993, 1761, 30, 5830, 1761, 30, 34973, 2212, 1761, 30, 701, 7224, 53, 9982, 1761, 30, 1802, 24991, 959, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 24991, 959, 3667, 1664, 3207, 784, 27, 291, 9821, 1761, 3667, 1664, 3207, 784, 27, 291, 5830, 1761, 3667, 1664, 3207, 784, 27, 291, 34973, 2212, 1761, 3667, 1664, 3207, 784, 27, 291, 630, 32, 1311, 280, 3330, 291, 630, 32, 2116, 280, 3330, 291, 630, 32, 2862, 1338, 280, 3330, 291, 630, 32, 43466, 280, 3330, 291, 630, 32, 6426, 612, 81, 668, 280, 1605, 284, 665, 12741, 26, 784, 711, 291, 442, 308, 784, 32, 2956, 30, 19827, 400, 630, 32, 771, 757, 101, 81, 314, 30, 18008, 400, 596, 26, 784, 32, 1311, 471, 19075, 400, 596, 26, 784, 32, 2116, 471, 1210, 8982, 596, 26, 784, 32, 2862, 1338, 471, 1210, 400, 5830, 1761, 32, 6282, 26, 784, 471, 10441, 400, 9821, 1761, 32, 6282, 26, 784, 471, 10086, 400, 596, 26, 784, 32, 43466, 471, 1210, 8982, 630, 32, 2342, 30, 19827, 400, 34973, 2212, 1761, 32, 6282, 26, 784, 471, 6019, 400, 428, 591, 32, 6282, 346, 436, 25714, 328, 630, 32, 6426, 612, 81, 668, 614, 958, 400, 9130, 1761, 32, 6282, 26, 784, 471, 9316, 400, 630, 32, 2055, 27, 22790, 284, 477, 17614, 284, 665, 622, 81, 3968, 26, 6933, 711, 291, 645, 638, 1617, 4890, 1188, 34973, 2212, 291, 645, 638, 6426, 612, 1188, 28759, 2084, 291, 645, 638, 3977, 586, 88, 1188, 9821, 2084, 291, 442, 301, 324, 313, 681, 563, 313, 1473, 392, 324, 313, 1311, 563, 26155, 2028, 2113, 324, 313, 4642, 563, 301, 400, 7286, 823, 563, 3447, 3868, 563, 428, 6933, 3667, 426, 505, 15755, 400, 313, 2956, 563, 3447, 681, 563, 313, 800, 392, 6029, 313, 41970, 563, 225, 39, 34, 30, 6029, 313, 1311, 563, 26155, 3297, 41044, 400, 313, 771, 757, 101, 81, 314, 563, 3447, 681, 563, 313, 800, 392, 4985, 313, 1311, 563, 26155, 4843, 757, 101, 2484, 41044, 400, 313, 1311, 563, 3447, 681, 563, 313, 800, 392, 3775, 313, 1311, 563, 26155, 3173, 41044, 400, 313, 2116, 563, 3447, 681, 563, 313, 800, 392, 6029, 313, 1311, 563, 26155, 4360, 41044, 400, 313, 2862, 1338, 563, 3447, 681, 563, 313, 800, 392, 1014, 313, 1311, 563, 26155, 33844, 3099, 41044, 400, 313, 5766, 81, 668, 563, 3447, 681, 563, 313, 955, 392, 4985, 313, 3028, 563, 3447, 681, 563, 313, 800 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 4, 4, 4, 4, 4, 2, 2, 3, 0, 3, 2, 2, 5, 4, 5, 3, 4, 0, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 7, 8, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 6, 6, 6, 6, 8, 10, 9, 10, 8, 6, 6, 6, 8, 10, 9, 10, 8, 6, 6, 6, 8, 10, 9, 10, 10, 8, 6, 6, 6, 9, 8, 9, 8, 9, 8, 6, 6, 6, 9, 8, 9, 8, 9, 8, 6, 6, 6, 8, 10, 9, 10, 8, 6, 6, 6, 7, 8, 6, 6, 6, 6, 9, 9, 8, 9, 8, 9, 8, 6, 6, 6, 10, 9, 10, 9, 7, 8, 8, 8, 9, 10, 10, 10, 10, 7, 6, 6, 6, 9, 8, 9, 8, 9, 8, 6, 6, 6, 7, 8, 6, 2, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 9, 9, 6, 6, 8, 5, 5, 6, 9, 9, 6, 6, 8, 5, 5, 6, 9, 9, 9, 6, 6, 8, 5, 5, 6, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 12, 12, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 14, 14, 12, 15, 14, 15, 15, 13, 9, 9, 12, 12, 10, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 13, 13, 11, 11, 11, 14, 14, 12, 16, 16, 9, 9, 12, 12, 12, 12, 12, 12, 10, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 16, 16, 16, 16, 16, 9, 9, 12, 12, 10, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 16, 16, 9, 9, 12, 12, 10, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 16, 16, 9, 9, 12, 12, 12, 10, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 16, 16, 16, 9, 9, 12, 12, 12, 12, 10, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 16, 16, 14, 16 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 3, 3, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 10, 10, 2, 1, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 7, 7, 7, 7, 2, 2, 2, 9, 2, 10, 10, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 17, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 21, 2, 2, 2, 3, 2, 2, 2, 2, 21, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 25, 2, 1, 4, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 0, 4, 4, 2, 0, 0, 0, 2, 2, 0, 4, 4, 3, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 9, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 2, 11, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 31074, 203, 465, 42406, 203, 465, 2361, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 1070, 4377, 8524, 1188, 308, 284, 8248, 81, 466, 30, 284, 8248, 81, 39145, 30, 203, 27, 203, 1070, 4377, 2304, 1188, 308, 284, 15218, 271, 924, 30, 284, 622, 81, 2543, 81, 1170, 81, 4890, 30, 284, 629, 81, 271, 81, 4108, 30, 284, 27045, 81, 11731, 30, 284, 1230, 81, 5078, 30, 284, 1596, 81, 371, 30, 284, 1984, 81, 271, 81, 4108, 30, 203, 27, 203, 823, 4273, 8317, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 280, 540, 25, 12390, 66, 46, 965, 48, 641, 49, 555, 18470, 1499, 8169, 6505, 23968, 8169, 508, 33, 98, 33, 12390, 66, 46, 314, 8828, 80, 8172, 21, 24, 6155, 490, 25, 284, 617, 24685, 280, 7316, 291, 330, 965, 950, 330, 641, 555, 23968, 32, 508, 33, 98, 33, 395, 87, 42, 37, 36851, 4452, 58, 8172, 3986, 47, 1632, 21, 8183, 370, 291, 330, 954, 39, 950, 330, 34, 86, 36, 1804, 35, 34, 40, 83, 43, 86, 36, 40, 37, 35, 36, 41, 37, 87, 35, 43, 36, 84, 37, 41, 36, 42, 34, 40, 39, 35, 40, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 395, 87, 42, 37, 36851, 4452, 58, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 6076, 810, 5499, 418, 639, 99, 370, 324, 330, 2310, 950, 330, 954, 39, 44, 35, 88, 35, 41, 88, 34, 360, 36, 43, 4184, 40, 1225, 36, 3589, 339, 41, 34, 39, 88, 39, 42, 286, 37, 2500, 42, 370, 324, 330, 12301, 950, 540, 4484, 44, 80, 641, 49, 555, 3424, 8169, 3072, 370, 324, 330, 5561, 950, 225, 35, 37, 41, 35, 41, 38, 42, 39, 38, 39, 30, 324, 330, 4462, 81, 770, 950, 330, 36, 34, 35, 37, 34, 40, 36, 34, 370, 324, 330, 32599, 81, 314, 950, 330, 3258, 418, 639, 99, 370, 324, 330, 32599, 950, 330, 20329, 18984, 4665, 267, 271, 5806, 278, 31, 1238, 742, 370, 324, 330, 6228, 81, 998, 950, 629, 30, 324, 330, 3647, 81, 998, 950, 629, 30, 324, 330, 8680, 950, 1149, 30, 291, 801, 284, 801, 301, 291, 330, 965, 950, 330, 641, 555, 1499, 32, 23968, 32, 508, 33, 98, 33, 6794, 31, 98, 67, 9545, 57, 42, 18917, 8172, 36429, 31, 1170, 47, 839, 283, 28297, 28383, 4177, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 6794, 31, 98, 67, 9545, 57, 42, 18917, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 6076, 810, 323, 1184, 28297, 28383, 4177, 370, 324, 330, 12301, 950, 540, 4484, 44, 80, 641, 49, 555, 3424, 8169, 3072, 370, 324, 330, 5561, 950, 225, 35, 38, 39, 37, 41, 40, 34, 43, 41, 41, 30, 324, 330, 4462, 81, 770, 950, 330, 36, 34, 35, 40, 34, 35, 36, 39, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 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, 2, 2, 5, 4, 4, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 8, 8, 8, 11, 11, 11, 11, 9, 8, 8, 8, 11, 11, 9, 8, 8, 8, 6, 6, 5, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 11, 11, 11, 11, 9, 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, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 8, 8, 1, 1, 2, 1, 1, 2, 8, 8, 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, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 1, 2, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 11, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 15, 1, 1, 1, 1, 2, 2, 2, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 19, 2, 2, 2, 1, 1, 1, 2, 21, 2, 2, 2, 1, 2, 23, 2, 2, 2, 1, 1, 2, 3, 3, 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, 2, 3, 3, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 5237, 203, 465, 9586, 1199, 203, 1070, 9586, 1199, 9089, 32, 858, 32, 28497, 1188, 319, 203, 1070, 9586, 1199, 9089, 32, 858, 32, 611, 1199, 11917, 1188, 319, 203, 1070, 9586, 1199, 9089, 32, 858, 32, 611, 1199, 858, 1188, 319, 203, 1070, 9586, 1199, 9089, 32, 858, 1188, 3488, 203, 1070, 9586, 1199, 9089, 32, 858, 1188, 456, 1381, 698, 335, 203, 823, 10292, 19637, 2732, 26, 30685, 1761, 711, 284, 1672, 1515, 280, 2108, 1761, 32, 7924, 81, 1772, 1515, 4064, 761, 8223, 284, 665, 14553, 26, 784, 711, 291, 551, 4778, 1761, 32, 23741, 26, 784, 27, 291, 630, 32, 1855, 280, 330, 1831, 32, 3766, 25, 291, 630, 32, 928, 81, 452, 81, 2969, 280, 1628, 81, 2171, 26, 324, 630, 32, 1855, 30, 37902, 1756, 31543, 2442, 11834, 291, 630, 32, 998, 280, 225, 36, 39, 284, 477, 45831, 81, 858, 284, 477, 3140, 7961, 1934, 26, 291, 2322, 668, 18278, 5910, 3439, 291, 4835, 2171, 347, 14354, 32, 1088, 33, 777, 36, 36, 36, 41, 38, 44, 1849, 312, 298, 2358, 15909, 436, 11305, 657, 284, 665, 894, 81, 3385, 81, 3515, 26, 784, 711, 291, 630, 32, 1832, 346, 291, 630, 32, 8022, 81, 426, 280, 330, 83, 32, 541, 25, 291, 1459, 346, 291, 630, 32, 1945, 81, 611, 1199, 81, 18319, 81, 3385, 101, 26, 784, 32, 8022, 81, 426, 30, 630, 32, 998, 27, 291, 1459, 440, 611, 1199, 9810, 4774, 17521, 9318, 630, 32, 4048, 6589, 27, 284, 665, 1420, 81, 611, 1199, 81, 18319, 81, 3385, 101, 26, 784, 30, 30150, 81, 426, 30, 2385, 711, 291, 1188, 298, 2358, 291, 30150, 280, 630, 32, 371, 3313, 11951, 26, 8022, 81, 426, 27, 291, 630, 32, 2661, 81, 13232, 280, 15584, 611, 1199, 27, 330, 291, 13012, 280, 630, 32, 2661, 81, 13232, 291, 630, 32, 4048, 6589, 32, 4534, 346, 291, 436, 595, 328, 2155, 26, 998, 711, 324, 630, 32, 2661, 280, 298, 2358, 32, 15697, 26, 400, 6611, 101, 904, 101, 904, 101, 25, 904, 400, 308, 611, 1199, 858, 81, 1163, 32, 611, 1199, 2650, 30, 630, 32, 611, 1199, 2828, 30, 30150, 490, 324, 2838, 280, 630, 32, 2661, 324, 415, 630, 32, 4790, 1484, 2262, 400, 2838, 32, 38364, 81, 850, 280, 5237, 32, 9362, 324, 2838, 32, 2358, 81, 16925, 26, 13232, 27, 324, 2838, 32, 2714, 928, 26, 400, 330, 42339, 739, 429, 88, 904, 101, 429, 94, 904, 86, 25, 904, 400, 308, 784, 32, 1855, 30, 630, 32, 928, 81, 452, 81, 2969, 490, 324, 2838, 32, 2358, 81, 16925, 26, 13232, 27, 324, 2838, 32, 2714, 928, 463, 1945, 683, 324, 2838, 32, 2358, 81, 16925, 26, 13232, 27, 324, 9810, 81, 3515, 35, 280, 330, 3385, 8414, 77, 92, 6583, 1493, 32, 106, 25, 324, 9810, 81, 3515, 36, 280, 330, 3385, 8414, 77, 92, 6583, 1493, 32, 107, 25, 324, 623, 630, 32, 4048, 6589, 44, 400, 2838, 32, 2714, 928, 26, 3385, 81, 3515, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 7, 6, 7, 7, 7, 7, 6, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 8, 7, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 9, 10, 8, 8, 10, 10, 10, 10, 4, 4, 7, 8, 6, 6, 7, 7, 2, 2, 5, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 8, 7, 10, 10, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 5, 5, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 5, 5, 8, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 10, 10, 10, 10, 10, 10, 8, 9, 10, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 6, 6, 7, 8, 8, 8, 4, 4, 8, 9, 9, 7, 8, 7, 4, 4, 5, 5, 5, 7, 8, 7, 5, 5, 9, 10, 8, 8, 11, 10, 11, 10, 10, 10, 13, 13, 13, 13, 13, 13, 11, 11, 11, 14, 14, 14, 14, 14, 13, 14, 14, 14, 12, 12, 13, 14, 14, 14, 12, 12, 12, 6, 6, 8, 8, 9, 10, 6, 6, 7, 9, 10, 10, 9, 7, 7, 11, 12, 12, 12, 10, 10, 11, 12, 6, 6, 9, 10, 10, 10, 9, 10, 9, 6, 6, 9, 10, 10, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 13, 12, 13, 11, 11, 12, 13, 13, 13, 13, 13, 11, 6, 6, 9, 10, 10, 10, 9, 10, 9, 6, 6, 9, 10, 10, 9, 11, 11, 6, 6, 9, 10, 10, 10, 9, 10, 9, 6, 6, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 7, 10, 11, 11, 7, 7, 7, 11, 12, 12, 11, 12, 12, 12, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 5, 5, 0, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 7, 7, 0, 0, 1, 2, 7, 7, 0, 0, 0, 0, 8, 8, 1, 1, 2, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 3, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 2, 1, 4, 4, 5, 5, 5, 1, 1, 1, 5, 5, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 2, 2, 5, 5, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 5, 5, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 2, 2, 1, 1, 2, 5, 5, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 10, 0, 2, 2, 10, 10, 10, 0, 2, 2, 1, 1, 1, 1, 1 ]
[ 465, 10020, 203, 465, 316, 203, 465, 5237, 203, 1070, 29947, 1188, 4705, 203, 81, 1648, 81, 268, 280, 316, 32, 6993, 26, 100, 25, 505, 1648, 505, 78, 101, 9372, 78, 101, 14541, 3424, 19188, 203, 1793, 2156, 463, 89, 778, 422, 33, 4538, 33, 1843, 32, 978, 370, 330, 4506, 683, 619, 296, 44, 334, 1503, 280, 596, 26, 633, 32, 7538, 81, 6569, 2176, 1648, 81, 268, 32, 1903, 26, 284, 296, 32, 850, 922, 5460, 463, 3310, 31, 42, 12097, 1363, 26, 35, 2610, 203, 325, 5237, 32, 6118, 6448, 35, 79, 610, 330, 1843, 31, 1832, 950, 334, 645, 16539, 1188, 1420, 334, 1188, 22977, 334, 1188, 13539, 761, 334, 1188, 5624, 334, 1875, 280, 330, 1843, 31, 104, 109, 34, 45147, 35, 45147, 36, 16805, 1643, 26, 397, 1503, 30, 5624, 32, 2946, 922, 5729, 1026, 5624, 32, 8676, 1157, 334, 1459, 463, 10333, 3619, 22324, 30865, 334, 1420, 26, 284, 2107, 978, 22324, 370, 330, 1843, 32, 2285, 370, 11363, 6008, 370, 11363, 2452, 983, 370, 1875, 614, 284, 12532, 47, 3731, 32, 9362, 30, 16154, 47, 3731, 32, 8228, 27, 334, 1459, 463, 3127, 3202, 3962, 5298, 1395, 526, 821, 301, 34, 3188, 1843, 2473, 1643, 26, 2808, 490, 334, 1459, 463, 19661, 13539, 32, 6680, 803, 683, 334, 22977, 32, 2991, 463, 10229, 32, 954, 370, 1875, 27, 334, 22977, 32, 2991, 463, 4092, 32, 954, 370, 1875, 27, 334, 623, 13539, 761, 32, 1676, 26, 2808, 474, 5608, 5366, 32, 6680, 370, 330, 105, 44, 6680, 683, 619, 13539, 44, 284, 13539, 32, 669, 26, 2808, 27, 334, 1459, 463, 3127, 3202, 5298, 3621, 821, 301, 34, 16805, 1643, 26, 2808, 474, 5608, 5366, 32, 6680, 2847, 334, 5237, 32, 4775, 346, 203, 1381, 280, 1524, 203, 57, 778, 422, 438, 312, 1503, 3498, 2664, 6895, 544, 2663, 432, 5575, 30, 688, 438, 8792, 372, 7350, 203, 363, 793, 32, 2030, 5359, 312, 4281, 4583, 10153, 30, 16371, 19216, 30, 461, 203, 83, 26248, 2016, 31, 928, 2568, 32, 18369, 570, 778, 422, 438, 7586, 544, 2663, 432, 203, 7546, 30, 844, 883, 5182, 16843, 1751, 544, 5575, 32, 4239, 1370, 281, 441, 702, 483, 844, 8623, 312, 5867, 623, 203, 10898, 7152, 3702, 688, 844, 4484, 646, 312, 5575, 14238, 15458, 2598, 32, 203, 8892, 3099, 30, 32655, 461, 4333, 477, 529, 57, 778, 422, 1182, 203, 12787, 333, 525, 555, 89, 778, 422, 32, 508, 5856, 9818, 203, 2993, 203, 5522, 26, 284, 636, 1057, 89, 778, 422, 370, 284, 1503, 47, 1648, 30, 284, 3048, 1057, 51, 4281, 1503, 3498, 2664, 6895, 544, 2663, 432, 5575, 370, 284, 1946, 81, 2310, 47, 1381, 30, 284, 4081, 1057, 69, 7312, 13646, 447, 747, 108, 1513, 11786, 26306, 370, 284, 4081, 81, 1935, 1057, 419, 747, 108, 286, 50, 1729, 607, 32, 911, 32, 7589, 370, 284, 1984, 1057, 641, 555, 89, 778, 422, 32, 508, 370, 284, 7599, 11414, 89, 778, 422, 370, 330, 89, 778, 422, 32, 4538, 2188, 284, 2443, 81, 13966, 6020, 397, 330, 978, 2912, 36 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 4, 4, 1, 1, 1, 4, 4, 6, 9, 8, 9, 9, 9, 8, 13, 13, 13, 12, 13, 12, 12, 12, 16, 17, 16, 15, 14, 16, 16, 16, 16, 11, 10, 11, 10, 0, 1, 1, 4, 5, 3, 5, 3, 2, 2, 4, 4, 4, 4, 1, 1, 3, 3, 3, 2, 2, 3, 2, 2, 3, 5, 2, 2, 3, 2, 2, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 6, 6, 6, 6, 10, 11, 10, 9, 8, 6, 8, 9, 8, 2, 2, 5, 7, 7, 7, 7, 2, 2, 5, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 6, 6, 5, 5, 6, 8, 7, 8, 5, 5, 6, 8, 7, 8, 5, 2, 2, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 2, 2, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 5, 5, 2, 2, 5, 6, 5, 7, 7, 7, 7, 5, 5, 2, 2, 3, 9, 8, 9, 8, 10, 9, 9, 11, 11, 11, 11, 8, 10, 10, 10, 10, 6, 6, 3, 3, 3, 7, 8, 7, 8, 7, 2, 2, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 9, 8, 8, 10, 10, 10, 10, 2, 2, 5, 6, 5, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 4, 5, 5, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 5, 5, 5, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 6, 6, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 3, 3, 1, 3, 3, 2, 0, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 5, 0, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 11, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 11, 11, 11, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 15, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 17, 2, 2, 1, 1, 1 ]
[ 465, 2322, 203, 465, 12460, 203, 465, 5237, 203, 1070, 5034, 32, 1163, 1188, 309, 37, 81, 1163, 203, 1070, 5034, 32, 1040, 1188, 8566, 81, 24523, 30, 5742, 30, 10194, 81, 4918, 30, 10061, 81, 10174, 30, 309, 37, 524, 203, 8182, 81, 7789, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 7781, 4064, 761, 505, 2610, 203, 11699, 69, 81, 3197, 280, 330, 2452, 1736, 19111, 25, 203, 24264, 81, 3197, 280, 330, 7980, 1736, 84, 849, 90, 27069, 1736, 7980, 1736, 4984, 1736, 1356, 27275, 1286, 25, 203, 12146, 81, 2474, 280, 8566, 81, 24523, 31510, 2250, 81, 426, 23, 785, 203, 16024, 81, 2474, 280, 8566, 81, 24523, 31510, 2445, 81, 426, 23, 785, 203, 66, 1996, 81, 4613, 280, 428, 334, 330, 541, 1736, 68, 1736, 109, 34, 4009, 8022, 32, 23911, 2473, 1643, 26, 12146, 81, 2474, 471, 334, 330, 541, 1736, 68, 1736, 1251, 32, 9685, 32, 23911, 370, 203, 79, 203, 589, 2575, 2262, 334, 2322, 32, 31015, 26, 8182, 81, 7789, 27, 334, 10194, 81, 4918, 26, 11699, 69, 81, 3197, 27, 334, 10061, 81, 10174, 26, 11699, 69, 81, 3197, 27, 334, 436, 36116, 328, 447, 1996, 81, 4613, 44, 284, 1420, 81, 7919, 2157, 26, 23911, 30, 41847, 69, 81, 3197, 30, 41232, 81, 2474, 27, 334, 8105, 30, 2857, 81, 678, 30, 9313, 81, 678, 280, 309, 37, 81, 1163, 346, 334, 2276, 280, 12460, 32, 13285, 26, 11699, 69, 81, 3197, 474, 330, 11734, 23911, 1109, 11734, 23911, 683, 334, 2276, 280, 428, 88, 32, 5729, 346, 436, 296, 328, 2276, 79, 334, 7623, 81, 19111, 26, 6452, 30, 2857, 81, 678, 30, 9313, 81, 678, 30, 2276, 27, 203, 589, 1420, 81, 7919, 2157, 26, 23911, 30, 3466, 30, 4054, 711, 334, 5742, 4901, 7919, 2157, 370, 330, 669, 370, 3056, 100, 370, 3056, 88, 370, 36116, 30, 3056, 101, 370, 3466, 30, 3056, 102, 370, 4054, 1130, 203, 589, 7623, 81, 19111, 26, 6452, 30, 2857, 81, 678, 30, 9313, 81, 678, 30, 2276, 711, 334, 309, 37, 524, 26, 6452, 30, 2857, 81, 678, 30, 9313, 81, 678, 30, 41847, 69, 81, 3197, 30, 330, 4149, 31, 7883, 33, 19111, 370, 291, 2276, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 5237, 32, 4775, 26, 1831, 1157, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 8, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 7, 8, 7, 8, 7, 7, 7, 7, 7, 7, 7, 6, 5, 6, 6, 6, 5, 3, 3, 5, 6, 5, 6, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 1, 1, 5, 6, 5, 6, 6, 6, 5, 2, 2, 5, 5, 5, 6, 6, 6, 6, 5, 2, 2, 5, 5, 5, 6, 6, 6, 6, 5, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 7, 7, 7, 7, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 5, 5, 6, 6, 5, 5, 6, 6, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 8, 7, 8, 7, 5, 6, 6, 6, 5, 2, 2, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 8, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 6, 6, 8, 8, 6, 6, 6, 8, 8, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 11, 11, 2, 11, 11, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 1, 4, 4, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 0, 12, 12, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 12, 12, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 13, 13, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 13, 13, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 14, 14, 0, 0, 1, 1, 1, 1, 14, 14, 0, 2, 1, 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 ]
[ 823, 3139, 44586, 2302, 26, 984, 711, 284, 3097, 203, 823, 3139, 6495, 13592, 26, 984, 711, 284, 3097, 203, 11868, 280, 2884, 282, 392, 313, 1804, 392, 313, 8378, 392, 313, 272, 392, 313, 5501, 392, 313, 2173, 392, 313, 286, 392, 313, 8278, 392, 313, 283, 392, 313, 1347, 392, 313, 385, 392, 1802, 313, 290, 392, 313, 2947, 392, 313, 307, 392, 313, 2269, 392, 313, 359, 657, 203, 17030, 280, 301, 2607, 313, 9132, 563, 313, 282, 392, 2607, 313, 17224, 563, 313, 1804, 392, 313, 96, 1381, 563, 313, 8378, 392, 313, 819, 563, 313, 272, 392, 313, 3507, 563, 313, 5501, 392, 313, 88, 1691, 563, 313, 2173, 392, 2607, 313, 286, 103, 563, 313, 286, 392, 313, 25707, 563, 313, 8278, 392, 313, 9735, 563, 313, 283, 392, 313, 19573, 563, 313, 1347, 392, 313, 5981, 563, 313, 385, 392, 2607, 313, 2558, 563, 313, 290, 392, 313, 18126, 563, 313, 2947, 392, 313, 22747, 563, 313, 307, 392, 313, 101, 1376, 563, 313, 2269, 392, 313, 10104, 563, 313, 359, 392, 2607, 313, 26623, 295, 563, 313, 282, 392, 2607, 313, 17224, 1708, 563, 313, 1804, 392, 2607, 313, 25256, 380, 563, 313, 8378, 392, 2607, 313, 20426, 563, 313, 272, 392, 2607, 313, 3507, 45054, 563, 313, 5501, 392, 2607, 313, 88, 20191, 563, 313, 2173, 392, 2607, 313, 873, 1588, 563, 313, 286, 392, 2607, 313, 90, 3280, 36319, 563, 313, 8278, 392, 2607, 313, 4704, 2531, 563, 313, 283, 392, 2607, 313, 19573, 1376, 89, 2531, 563, 313, 1347, 392, 2607, 313, 625, 888, 340, 277, 563, 313, 385, 392, 2607, 313, 48090, 2531, 563, 313, 290, 392, 2607, 313, 100, 12574, 563, 313, 2947, 392, 2607, 313, 662, 1708, 563, 313, 307, 392, 2607, 313, 1586, 318, 1708, 563, 313, 1586, 392, 2607, 313, 10104, 93, 1708, 563, 313, 359, 392, 2607, 313, 9087, 15423, 6848, 13898, 33562, 563, 313, 282, 392, 2607, 313, 86, 693, 93, 563, 313, 1804, 392, 2607, 313, 9828, 265, 25746, 563, 313, 8378, 392, 2607, 313, 11192, 18984, 563, 313, 5501, 392, 2607, 313, 2173, 48936, 8139, 563, 313, 2173, 392, 2607, 313, 286, 303, 6378, 563, 313, 286, 392, 2607, 313, 10449, 39501, 563, 313, 8278, 392, 2607, 313, 4704, 25757, 563, 313, 283, 392, 2607, 313, 96, 1734, 93, 563, 313, 1347, 392, 2607, 313, 625, 38733, 5884, 101, 563, 313, 385, 392, 2607, 313, 12189, 1520, 1520, 40228, 21900, 5604, 2892, 3275, 563, 313, 2947, 392, 2607, 313, 307, 4535, 10657, 362, 563, 313, 307, 392, 2607, 313, 2269, 1229, 3795, 563, 313, 2269, 392, 2607, 313, 102, 7249, 93, 2326, 87, 563, 313, 359, 392, 2607, 320, 203, 589, 3134, 81, 11371, 81, 687, 26, 426, 711, 284, 415, 636, 328, 15111, 44, 291, 442, 636, 284, 415, 636, 328, 20664, 44, 291, 442, 20664, 77, 426, 79, 284, 442, 1665, 203, 21, 35587, 4442, 203, 589, 44, 284, 1596, 44, 291, 442, 1560, 26, 23255, 2302, 81, 979, 81, 4189, 26, 1581, 490, 284, 2940, 3139, 44586, 2302, 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, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 6, 6, 6, 4, 6, 6, 3, 6, 6, 4, 6, 6, 3, 6, 6, 4, 6, 6, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 6, 6, 4, 6, 6, 3, 6, 6, 4, 6, 6, 3, 6, 6, 4, 6, 6, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 6, 6, 4, 6, 6, 3, 6, 6, 4, 6, 6, 3, 6, 6, 6, 4, 6, 6, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 3, 6, 6, 6, 4, 3, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 3, 6, 6, 6, 4, 3, 3, 3, 3, 6, 6, 6, 6, 6, 3, 3, 3, 3, 6, 6, 6, 6, 6, 3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 3, 3, 3, 6, 6, 4, 6, 3, 3, 3, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 3, 3, 6, 6, 6, 4, 6, 3, 3, 3, 3, 3, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 5, 3, 3, 5, 5, 2, 2, 5, 5, 3, 3, 3, 3, 5, 7, 7, 6, 7, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 7, 7, 9, 9, 9, 9, 9, 10, 9 ]
[ 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 1, 1, 2, 5, 1, 2, 2, 1, 2, 7, 1, 2, 2, 1, 2, 9, 1, 2, 2, 1, 1, 2, 11, 1, 2, 2, 2, 1, 1, 2, 13, 1, 2, 2, 1, 2, 15, 1, 2, 2, 1, 2, 17, 1, 2, 2, 1, 2, 19, 1, 2, 2, 1, 2, 21, 1, 2, 2, 2, 1, 2, 23, 1, 2, 2, 1, 2, 25, 1, 2, 2, 1, 2, 27, 1, 2, 2, 1, 1, 2, 29, 1, 2, 2, 1, 2, 31, 1, 2, 2, 2, 1, 1, 2, 33, 1, 2, 2, 2, 1, 1, 2, 35, 1, 2, 2, 2, 1, 1, 2, 37, 1, 2, 2, 2, 1, 2, 39, 1, 2, 2, 2, 1, 1, 2, 41, 1, 2, 2, 2, 1, 1, 2, 43, 1, 2, 2, 2, 1, 1, 2, 45, 1, 2, 2, 2, 1, 1, 1, 2, 47, 1, 2, 2, 2, 1, 1, 2, 49, 1, 2, 2, 2, 1, 1, 1, 1, 2, 51, 1, 2, 2, 2, 1, 1, 1, 1, 2, 53, 1, 2, 2, 2, 1, 1, 2, 55, 1, 2, 2, 2, 1, 1, 2, 57, 1, 2, 2, 2, 1, 1, 2, 59, 1, 2, 2, 2, 1, 1, 1, 2, 61, 1, 2, 2, 2, 1, 1, 1, 2, 63, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 65, 2, 2, 2, 2, 2, 1, 1, 1, 67, 2, 2, 2, 2, 1, 1, 1, 1, 69, 2, 2, 2, 2, 1, 1, 1, 71, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 85, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 87, 1, 2, 2, 2, 2, 2, 1, 2, 89, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 91, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 4, 1, 1, 0, 5, 5, 5, 5, 5, 6, 6, 6, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
[ 505, 13411, 505, 280, 8493, 606, 22, 25, 203, 51, 280, 2706, 13644, 10854, 1492, 261, 203, 862, 3228, 7404, 610, 17276, 7404, 225, 203, 48820, 81, 8803, 3898, 7877, 280, 3228, 30052, 261, 203, 11356, 4780, 280, 2706, 96, 20, 203, 9394, 81, 940, 11886, 940, 280, 3228, 83, 78, 84, 78, 88, 78, 96, 78, 102, 78, 100, 78, 104, 25, 203, 25902, 280, 3228, 17791, 78, 106, 34, 83, 78, 106, 34, 86, 25, 203, 7347, 81, 39686, 726, 280, 3228, 97, 35, 36, 37, 78, 97, 34, 34, 34, 25, 261, 203, 39686, 726, 280, 3228, 35, 36, 37, 78, 34, 34, 34, 25, 203, 3908, 81, 39686, 726, 280, 3228, 42, 42, 42, 78, 43, 43, 43, 25, 261, 203, 64, 792, 280, 3228, 34, 25, 203, 29978, 280, 1044, 10255, 103, 35, 36, 37, 38, 25, 203, 19542, 81, 29978, 280, 1044, 10255, 71, 34, 34, 34, 34, 34439, 25, 203, 24658, 940, 280, 26271, 1492, 25, 203, 24799, 81, 11356, 4780, 280, 3228, 203, 25, 203, 48820, 81, 29978, 280, 313, 11468, 96, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 4, 4, 5, 0, 0, 1, 1, 4, 2, 2, 4, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 0, 0, 3, 3, 2, 2, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 0, 0, 3, 3, 2, 2, 5, 4, 0, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 4, 0, 3, 3, 2, 2, 5, 4, 0, 3, 3, 3, 3, 2, 2, 5, 4, 0, 3, 3, 3, 2, 2, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 7138, 203, 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 9042, 12067, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 669, 81, 2592, 463, 6528, 10583, 81, 6528, 370, 330, 5961, 81, 4275, 370, 2855, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 39471, 24174, 1536, 47, 2700, 471, 2855, 4986, 81, 1536, 47, 2700, 27, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 2592, 463, 6528, 10583, 81, 6528, 370, 330, 5961, 81, 4275, 683, 284, 4549, 280, 301, 291, 330, 6528, 10583, 32, 6528, 950, 301, 324, 330, 4232, 950, 5053, 24576, 950, 313, 463, 426, 370, 330, 6528, 81, 965, 683, 392, 330, 1473, 81, 426, 950, 330, 8357, 8885, 324, 330, 32520, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 35, 36, 41, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 6528, 81, 965, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 2413, 1176, 370, 5518, 5053, 5665, 950, 330, 1815, 370, 330, 1449, 81, 1322, 950, 330, 36, 34, 34, 45306, 324, 330, 9211, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 46046, 1176, 370, 5518, 5053, 7919, 46819, 1578, 950, 330, 2700, 370, 330, 10513, 81, 426, 950, 5335, 34465, 13042, 330, 5006, 950, 330, 1815, 370, 330, 452, 950, 313, 494, 710, 6528, 10583, 32, 2348, 785, 3612, 471, 324, 330, 9211, 81, 4557, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 17991, 12470, 30400, 370, 5518, 5053, 1536, 950, 330, 34, 45306, 324, 330, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 28719, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 39471, 370, 5518, 5053, 1536, 950, 330, 2700, 45306, 324, 330, 297, 81, 2480, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 39471, 370, 5518, 5053, 1536, 950, 330, 1815, 45306, 324, 330, 2135, 81, 7149, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 370, 5518, 5053, 1693, 950, 330, 1815, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 2135, 81, 10454, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 370, 5518, 5053, 1693, 950, 330, 1815, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 1204, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 2413, 1176, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 36, 34, 34, 370, 330, 5006, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 35, 34, 34, 45306, 324, 330, 4021, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 39, 34, 45306, 324, 330, 5961, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 9, 7, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 9, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 7, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 5, 1, 2, 5, 1, 2, 5, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 2, 3, 1, 2, 2, 2, 1, 2, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 1, 2, 3, 1, 2, 2, 2, 1, 2, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 25, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1 ]
[ 505, 2116, 505, 280, 330, 11609, 32935, 488, 1190, 94, 25, 203, 505, 1935, 505, 280, 330, 88, 2388, 4785, 50, 7253, 32, 508, 25, 203, 505, 2077, 505, 280, 330, 21181, 104, 37, 25, 203, 505, 1427, 1643, 505, 280, 330, 2175, 25, 203, 1070, 29969, 1188, 5380, 203, 1070, 310, 5943, 83, 32, 1439, 1188, 4422, 30, 1505, 30, 310, 2665, 30, 4533, 203, 1070, 310, 5943, 83, 32, 2516, 1188, 6204, 30, 1709, 1881, 30, 14580, 30, 13814, 1428, 30, 13814, 2007, 30, 5380, 12054, 203, 823, 2194, 2027, 44, 284, 617, 2437, 44, 1709, 1881, 77, 7167, 77, 466, 30, 629, 3212, 280, 301, 291, 330, 2116, 950, 225, 34, 84, 35, 35, 30, 330, 1935, 950, 225, 34, 84, 35, 35, 30, 330, 2077, 950, 225, 34, 84, 35, 35, 30, 330, 11794, 950, 225, 34, 84, 35, 35, 30, 291, 330, 27207, 950, 225, 34, 84, 34, 35, 30, 330, 426, 950, 225, 34, 84, 35, 35, 30, 330, 6586, 950, 225, 34, 84, 35, 35, 30, 330, 1648, 950, 225, 34, 84, 35, 35, 30, 291, 330, 7468, 950, 225, 34, 84, 35, 35, 30, 330, 681, 950, 225, 34, 84, 34, 35, 30, 330, 983, 950, 225, 34, 84, 35, 35, 284, 320, 284, 617, 2991, 44, 1709, 1881, 77, 7167, 77, 466, 30, 596, 3212, 280, 301, 291, 330, 1163, 950, 7610, 1163, 25, 284, 320, 284, 617, 1163, 44, 5436, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 38103, 44, 6204, 27, 967, 1665, 44, 291, 630, 1114, 1163, 280, 2149, 291, 630, 1114, 470, 81, 2991, 14605, 38103, 27, 284, 665, 1156, 32110, 3207, 784, 30, 1202, 44, 596, 27, 967, 1665, 44, 291, 415, 1202, 328, 630, 1114, 2437, 44, 324, 415, 646, 630, 1114, 2437, 77, 678, 79, 549, 225, 34, 84, 34, 35, 44, 400, 3636, 29316, 26, 88, 20, 4890, 8930, 678, 8129, 438, 646, 18970, 657, 324, 415, 646, 19326, 26, 784, 30, 7610, 371, 16436, 474, 1202, 711, 400, 3636, 29316, 26, 528, 296, 9588, 784, 3667, 823, 29215, 426, 505, 111, 1980, 313, 528, 296, 20, 2040, 1289, 3879, 7610, 371, 5290, 678, 8129, 657, 324, 442, 18623, 26, 784, 30, 7610, 371, 16436, 474, 1202, 45895, 291, 3636, 29316, 26, 324, 296, 9588, 784, 3667, 823, 29215, 426, 505, 111, 1980, 313, 324, 296, 20, 2040, 1289, 3879, 8930, 678, 8129, 657, 284, 665, 1156, 45865, 3207, 784, 30, 1202, 44, 596, 30, 909, 44, 6204, 27, 967, 1665, 44, 291, 415, 1202, 328, 630, 1114, 2437, 44, 324, 415, 646, 630, 1114, 2437, 77, 678, 79, 549, 225, 34, 84, 35, 34, 44, 400, 3636, 29316, 26, 528, 296, 20, 4890, 8930, 678, 8129, 438, 646, 2866, 444, 657, 324, 415, 646, 19326, 26, 784, 30, 7610, 470, 16436, 474, 1202, 711, 400, 3636, 29316, 26, 528, 296, 9588, 784, 3667, 823, 29215, 426, 505, 111, 1980, 1401, 313, 528, 296, 20, 1347, 3879, 7610, 470, 5290, 678, 8129, 657, 324, 18623, 26, 784, 30, 7610, 470, 16436, 474, 1202, 2502, 695 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 1, 1, 1, 5, 4, 4, 7, 7, 10, 10, 12, 10, 10, 10, 4, 4, 5, 5, 8, 8, 6, 7, 7, 7, 7, 5, 5, 8, 8, 6, 7, 7, 7, 7, 5, 5, 8, 8, 6, 7, 7, 7, 7, 5, 5, 8, 8, 6, 7, 7, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 7, 7, 5, 5, 8, 8, 6, 7, 7, 7, 7, 5, 5, 8, 8, 6, 7, 7, 7, 7, 5, 5, 8, 8, 6, 7, 7, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 7, 7, 5, 5, 8, 8, 6, 7, 7, 7, 7, 5, 5, 8, 8, 6, 7, 7, 7, 7, 5, 5, 2, 2, 5, 4, 4, 7, 7, 10, 10, 12, 10, 10, 10, 4, 4, 5, 5, 8, 8, 6, 8, 8, 5, 5, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 7, 5, 5, 4, 3, 3, 3, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 3, 3, 3, 5, 6, 6, 7, 8, 5, 5, 5, 7, 8, 11, 12, 10, 11, 10, 9, 9, 10, 10, 10, 10, 7, 7, 7, 9, 11, 13, 13, 13, 13, 14, 13, 13, 13, 13, 13, 6, 6, 7, 8, 10, 11, 10, 10, 13, 13, 11, 11, 10, 7, 7, 9, 11, 11, 11, 14, 17, 16, 17, 17, 16, 16, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 15, 14, 14, 6, 6, 7, 10, 11, 10, 10, 13, 13, 11, 11, 10, 4, 4, 5, 7, 7, 7, 10, 13, 12, 13, 13, 12, 12, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 11, 10, 10, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 3, 3, 3, 5, 6, 6, 7, 8, 5, 5, 5, 7, 8, 11, 12, 10, 11, 10, 9, 9, 10, 10, 10, 10, 7, 7, 7, 9, 11, 11, 11, 13, 13, 13, 14, 13, 13, 13, 13, 13, 13, 6, 6, 7, 8, 10, 11, 10, 10, 13, 13, 11, 11, 10, 7, 7, 9, 11, 11, 11, 14, 17, 16, 17, 17, 16, 16, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 15, 14, 14, 6, 6, 10, 11, 10, 10, 13, 13, 11, 11, 10, 10 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 1, 2, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 1, 7, 7, 7, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 2, 4, 4, 1, 2, 3, 2, 2, 2, 2, 4, 4, 1, 2, 5, 2, 2, 2, 2, 4, 4, 1, 2, 7, 2, 2, 2, 2, 4, 4, 4, 1, 2, 9, 2, 2, 2, 2, 4, 4, 1, 2, 11, 2, 2, 2, 2, 4, 4, 1, 2, 13, 2, 2, 2, 2, 4, 4, 1, 2, 15, 2, 2, 2, 2, 4, 4, 4, 1, 2, 17, 2, 2, 2, 2, 4, 4, 1, 2, 19, 2, 2, 2, 2, 4, 4, 1, 2, 21, 2, 2, 2, 2, 4, 4, 3, 3, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 3, 3, 0, 0, 0, 3, 3, 3, 1, 1, 1, 2, 2, 1, 3, 3, 2, 3, 3, 3, 3, 3, 0, 2, 0, 0, 6, 6, 0, 2, 2, 2, 1, 1, 1, 3, 3, 4, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 3, 3, 3, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 6, 6, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 4, 3, 3, 5, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 3, 3, 3, 3, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1 ]
[ 109, 284, 330, 426, 950, 330, 28621, 633, 269, 43336, 370, 284, 330, 1648, 950, 330, 35, 32, 34, 370, 284, 330, 3153, 950, 330, 48138, 549, 45229, 370, 284, 330, 2310, 950, 1524, 203, 51, 2297, 688, 10476, 19320, 633, 269, 14201, 32, 203, 2533, 18444, 203, 2272, 2297, 13344, 322, 4245, 432, 322, 27630, 554, 2381, 3733, 322, 24401, 432, 203, 31560, 278, 16545, 32, 37616, 284, 330, 2116, 950, 330, 2961, 527, 66, 19217, 370, 284, 330, 12787, 950, 330, 525, 555, 1499, 32, 520, 749, 98, 32, 508, 370, 284, 330, 27263, 950, 2107, 1439, 370, 330, 2445, 370, 330, 9729, 370, 330, 16842, 370, 330, 15735, 2188, 284, 330, 605, 950, 428, 291, 330, 4373, 33, 476, 32, 1160, 32, 3560, 32, 4700, 370, 291, 330, 3734, 81, 13202, 633, 269, 81, 1071, 32, 2593, 370, 291, 330, 13202, 633, 269, 81, 3734, 32, 2593, 370, 291, 330, 3734, 81, 13202, 633, 269, 81, 605, 32, 2593, 370, 291, 330, 4338, 33, 3734, 81, 13202, 633, 269, 10969, 32, 2593, 25, 284, 2505, 284, 330, 6380, 950, 5518, 284, 330, 858, 950, 2107, 858, 33, 3734, 81, 13202, 633, 269, 81, 3734, 32, 7070, 2188, 284, 330, 3789, 444, 950, 2933, 30, 284, 330, 2837, 81, 3789, 950, 3177, 30, 284, 330, 2242, 950, 2107, 2242, 33, 7035, 81, 13202, 633, 269, 81, 687, 32, 10561, 1195, 2242, 33, 13202, 633, 269, 81, 687, 32, 10561, 2188, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 4, 6, 6, 4, 6, 6, 4, 6, 6, 4, 6, 6, 2, 2, 5, 5, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 3, 2, 2, 5, 5, 3, 6, 6, 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, 5, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 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, 2, 0, 0, 1, 2, 9, 1, 1, 1, 1, 2, 0, 0, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 13, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 15, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 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, 2, 2, 2, 0, 0, 1, 2, 17, 0, 0, 1, 2, 19, 1, 1, 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, 1, 2, 25, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3498, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3219, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1603, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 2677, 81, 3473, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 9848, 81, 16417, 203, 589, 5313, 81, 26171, 81, 14298, 26, 4502, 30, 786, 30, 32189, 30, 5934, 81, 9508, 3224, 47, 1815, 30, 636, 47, 2521, 711, 334, 623, 13714, 32, 426, 81, 3473, 26, 426, 30, 313, 9079, 27824, 19853, 392, 2855, 428, 4502, 30, 786, 30, 32189, 1130, 619, 4576, 44, 284, 623, 13714, 32, 331, 27041, 81, 1793, 26, 4502, 711, 397, 32189, 280, 13714, 32, 5954, 81, 452, 81, 6800, 26, 35, 32, 34, 429, 32189, 30, 636, 347, 21213, 657, 397, 415, 32189, 32, 12010, 863, 2677, 32, 12010, 32, 1439, 81, 12010, 44, 291, 32189, 280, 7744, 81, 4156, 32, 2405, 26, 21213, 30, 2677, 32, 12010, 32, 1439, 81, 12010, 27, 397, 415, 5934, 81, 9508, 3224, 44, 291, 1974, 81, 6558, 280, 617, 6158, 81, 9508, 3224, 26, 4502, 30, 786, 30, 32189, 27, 397, 813, 44, 291, 1974, 81, 6558, 280, 308, 4502, 429, 786, 27, 319, 32189, 397, 442, 1603, 81, 4156, 32, 5157, 81, 1113, 26, 4502, 30, 1974, 81, 6558, 30, 636, 47, 3473, 27, 203, 589, 29271, 81, 26171, 81, 14298, 26, 853, 30, 1014, 32189, 30, 1014, 7533, 30, 1014, 554, 8396, 387, 47, 1815, 30, 1014, 13625, 47, 2521, 30, 1014, 636, 47, 2521, 711, 334, 415, 13625, 438, 1665, 44, 284, 13625, 280, 428, 4156, 32, 3406, 5037, 32, 14285, 81, 22370, 69, 79, 334, 623, 2677, 81, 3473, 32, 4502, 81, 3473, 26, 426, 30, 313, 38624, 27824, 19853, 392, 9474, 428, 853, 30, 7533, 30, 32189, 1130, 619, 4576, 44, 284, 786, 81, 106, 81, 3292, 81, 869, 280, 2677, 81, 3473, 32, 371, 81, 4502, 26, 291, 313, 853, 81, 106, 81, 3292, 392, 291, 6024, 47, 853, 32, 371, 81, 3229, 1026, 291, 9710, 47, 853, 32, 12010, 30, 291, 24733, 47, 1664, 81, 4156, 32, 9880, 81, 19321, 1026, 291, 5683, 444, 47, 2700, 30, 291, 13625, 47, 9769, 27, 284, 7533, 81, 869, 280, 2677, 81, 3473, 32, 371, 81, 4502, 26, 291, 313, 3292, 392, 291, 6024, 47, 3292, 32, 371, 81, 3229, 1026, 291, 9710, 47, 3292, 32, 12010, 30, 291, 24733, 47, 1664, 81, 4156, 32, 9880, 81, 19321, 1026, 291, 5683, 444, 47, 2700, 30, 291, 13625, 47, 9769, 27, 284, 1929, 11290, 280, 5313, 81, 26171, 81, 14298, 26, 291, 786, 81, 106, 81, 3292, 81, 869 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 4, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 10, 10, 8, 8, 10, 9, 9, 9, 9, 9, 6, 6, 3, 3, 3, 5, 9, 10, 10, 10, 10, 9, 10, 9, 5, 5, 8, 8, 10, 11, 11, 11, 11, 11, 10, 12, 12, 12, 11, 11, 10, 10, 11, 13, 13, 6, 6, 7, 9, 10, 8, 8, 10, 11, 9, 10, 10, 10, 7, 7, 7, 10, 10, 13, 13, 12, 13, 12, 13, 12, 12, 14, 15, 13, 14, 14, 14, 12, 6, 6, 7, 8, 8, 8, 7, 7, 7, 11, 11, 10, 10, 12, 12, 12, 12, 12, 13, 12, 12, 12, 12, 12, 7, 7, 8, 8, 8, 12, 12, 11, 11, 15, 14, 14, 13, 12, 12, 6, 6, 7, 10, 10, 9, 10, 10, 10, 9, 10, 9, 9, 10, 10, 9, 9, 10, 11, 9, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 2, 2, 3, 4, 2, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 10, 9, 10, 10, 8, 9, 9, 9, 9, 7, 2, 2, 3, 9, 9, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 10, 10, 8, 8, 10, 9, 9, 9, 9, 9, 6, 6, 3, 3, 3, 7, 7, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 9, 12, 11, 12, 12, 12, 11, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 12, 12, 12, 11, 12, 12, 12, 11, 8, 8, 10, 9, 10, 8, 8, 8, 9, 10, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 8, 8, 8, 10, 10, 8, 8, 9, 12, 11, 12, 12, 12, 11, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 12, 12, 12, 11, 12, 12, 12, 11, 8, 8, 10, 9, 10, 8, 8, 8, 9, 10, 8, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 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, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 7, 2, 2, 2, 9, 2, 2, 12, 12, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 2, 3, 3, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 2, 1, 0, 13, 13, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 9, 2, 2, 2, 2, 11, 2, 2, 13, 13, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 5, 5, 5, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 7, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 9, 2, 1, 1, 1, 11, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 7, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 9, 2, 1, 1, 1, 11, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2322, 30, 2919, 2208, 203, 465, 13249, 30, 11024, 30, 15091, 203, 465, 10639, 2388, 30, 2099, 203, 1070, 15091, 1188, 457, 708, 445, 203, 50, 468, 708, 445, 203, 589, 2290, 81, 101, 2369, 26, 2957, 711, 203, 202, 104, 280, 3570, 32, 2121, 203, 202, 1152, 280, 1665, 203, 202, 325, 354, 710, 18272, 12132, 10639, 280, 354, 710, 18272, 785, 203, 202, 12106, 330, 18272, 25, 328, 3570, 32, 12757, 44, 10639, 280, 3570, 32, 12757, 710, 18272, 785, 203, 202, 325, 646, 10639, 44, 10639, 280, 3570, 32, 1809, 81, 5784, 463, 85, 1046, 370, 773, 1057, 18272, 683, 203, 202, 325, 646, 10639, 44, 3570, 32, 23766, 463, 101, 956, 1046, 1597, 646, 2431, 683, 203, 202, 1152, 280, 3570, 32, 3515, 81, 452, 81, 668, 26, 1152, 27, 203, 202, 1270, 44, 357, 202, 325, 646, 13249, 32, 3515, 81, 2024, 26, 1152, 474, 2107, 31, 4545, 37886, 355, 202, 2957, 32, 23766, 463, 101, 956, 1046, 904, 100, 1597, 646, 2431, 25, 904, 10639, 27, 203, 202, 7343, 10091, 44, 357, 202, 2957, 32, 23766, 463, 101, 956, 1046, 429, 4545, 3065, 646, 526, 10768, 683, 203, 202, 104, 710, 18272, 785, 225, 280, 10639, 203, 202, 104, 710, 18272, 81, 2474, 785, 280, 330, 9881, 25, 203, 50, 468, 708, 445, 203, 589, 309, 2369, 81, 2282, 81, 4545, 26, 2957, 711, 203, 202, 104, 280, 3570, 32, 2121, 203, 202, 104, 710, 18272, 81, 12784, 81, 56, 785, 2264, 280, 4247, 203, 202, 104, 710, 18272, 81, 70, 11502, 81, 56, 785, 2264, 280, 2107, 31, 85, 370, 6470, 97, 370, 330, 785, 203, 202, 104, 710, 10509, 4065, 81, 635, 785, 2033, 280, 6470, 59, 23, 101, 25, 1659, 202, 325, 646, 354, 710, 11238, 81, 18272, 12132, 354, 710, 11238, 81, 18272, 785, 280, 354, 710, 18272, 785, 203, 202, 104, 710, 18272, 21767, 61, 81, 12784, 81, 56, 785, 351, 280, 4247, 203, 202, 104, 710, 18272, 21767, 61, 81, 70, 11502, 81, 56, 785, 351, 280, 2107, 31, 97, 370, 330, 785, 1659, 202, 104, 710, 7655, 81, 635, 785, 2850, 280, 6470, 94, 23, 101, 25, 1659, 202, 104, 710, 7655, 4065, 81, 635, 785, 2033, 280, 6470, 62, 23, 101, 25, 1659, 202, 104, 710, 14673, 7655, 81, 635, 785, 351, 280, 6470, 94, 23, 101, 25, 203, 202, 104, 710, 14673, 7655, 4065, 81, 635, 785, 264, 280, 6470, 62, 23, 101, 25, 203, 202, 104, 710, 18272, 13078, 940, 81, 635, 785, 958, 280, 6470, 54, 23, 101, 25, 203, 202, 104, 710, 1960, 3848, 81, 635, 785, 2264, 280, 6470, 23752, 5437, 90, 429, 23752, 9726, 101, 25, 203, 202, 104, 710, 2514, 7655, 81, 22600, 785, 351, 280, 6470, 52, 9010, 25, 203, 202, 104, 710, 14673, 7655, 81, 22600, 785, 264, 280, 6470, 52, 1574, 25, 203, 202, 104, 710, 5784, 81, 21589, 785, 262, 280, 6611, 101, 25, 203, 202, 104, 710, 615, 1356, 81, 47381, 785, 647, 280, 2107, 31, 61, 8328, 370, 6470, 8146, 1102, 785, 203, 202 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 6, 5, 5, 6, 7, 3, 3, 6, 5, 5, 3, 3, 4, 4, 5, 7, 7, 4, 7, 7, 8, 10, 10, 4, 4, 5, 5, 8, 8, 6, 6, 7, 8, 5, 5, 8, 8, 10, 11, 9, 11, 11, 3, 3, 4, 4, 5, 4, 4, 7, 7, 9, 10, 10, 10, 9, 11, 11, 11, 9, 10, 12, 12, 3, 3, 4, 4, 5, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 3, 3, 6, 5, 5, 7, 8, 8, 8, 8, 8, 7, 8, 7, 3, 3, 4, 4, 4, 4, 6, 6, 7, 9, 10, 10, 10, 9, 11, 10, 10, 13, 13, 13, 6, 6, 11, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 4, 4, 5, 5, 5, 5, 5, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 3, 3, 7, 6, 8, 8, 5, 5, 5, 3, 3, 7, 6, 8, 8, 8, 8, 5, 5, 7, 7, 0, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 5, 5, 6, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 5, 5, 5, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 8, 6, 8, 8, 6, 8, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 5, 5, 7, 7, 7, 7, 3, 3, 4, 4, 5, 6, 8, 8, 8, 8, 4, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 8, 6, 8, 3, 3, 7, 6, 8, 8, 8, 8, 5, 5, 5, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 5, 5, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 5, 5, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 5, 5, 5, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 8, 5, 5, 5, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 5, 5, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 5, 5, 7, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 5, 5, 5, 7, 7, 3, 3, 7, 6, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 4, 4, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 4, 4, 1, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 4, 4, 3, 3, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 4, 4, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 6, 6, 6, 6, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 6, 6, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 4, 4, 1, 1, 1, 1, 1, 2, 4, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 4, 4 ]
[ 465, 281, 652, 2338, 203, 465, 1671, 203, 465, 22329, 32, 3893, 203, 465, 22329, 32, 12236, 4215, 203, 465, 22329, 32, 32846, 203, 465, 22329, 32, 26331, 203, 81, 12758, 81, 1170, 81, 853, 280, 301, 275, 35, 499, 330, 8882, 6578, 370, 275, 36, 499, 330, 2231, 27739, 370, 275, 37, 499, 330, 7649, 66, 370, 275, 36, 39, 37, 499, 330, 6333, 370, 275, 36, 39, 38, 499, 330, 16191, 370, 284, 320, 203, 81, 12758, 81, 1170, 81, 426, 280, 301, 284, 330, 8882, 6578, 25, 499, 225, 35, 30, 284, 330, 2231, 27739, 25, 499, 225, 36, 30, 284, 330, 7649, 66, 25, 499, 225, 37, 30, 284, 330, 6333, 25, 499, 225, 36, 39, 37, 30, 284, 330, 16191, 25, 499, 225, 36, 39, 38, 30, 284, 320, 203, 589, 617, 12758, 81, 1070, 81, 878, 26, 7733, 711, 284, 354, 280, 617, 12758, 81, 1170, 81, 426, 32, 371, 26, 7733, 27, 284, 415, 646, 354, 438, 1665, 44, 291, 442, 354, 284, 442, 629, 26, 7733, 27, 203, 589, 617, 12758, 81, 452, 81, 878, 26, 7733, 711, 284, 354, 280, 617, 12758, 81, 1170, 81, 853, 32, 371, 26, 7733, 27, 284, 415, 646, 354, 438, 1665, 44, 291, 442, 354, 284, 442, 596, 26, 7733, 27, 203, 823, 23115, 26, 12236, 32, 32846, 32, 68, 605, 711, 284, 1156, 18645, 505, 280, 2107, 15324, 81, 681, 370, 330, 678, 81, 2142, 370, 330, 12124, 370, 330, 15324, 785, 284, 665, 1156, 1664, 3207, 784, 30, 18940, 823, 30, 540, 12010, 30, 10282, 81, 681, 30, 1202, 81, 2142, 30, 8218, 30, 353, 10282, 711, 291, 2599, 26, 21729, 30, 630, 14585, 1664, 3207, 5334, 823, 30, 540, 12010, 27, 291, 630, 32, 15324, 81, 681, 280, 10282, 81, 681, 291, 630, 32, 678, 81, 2142, 280, 1202, 81, 2142, 291, 630, 32, 12124, 280, 8218, 291, 630, 32, 15324, 280, 10282, 284, 665, 372, 81, 878, 26, 784, 30, 7382, 47, 2521, 30, 1875, 6199, 518, 47, 1815, 30, 1115, 4124, 711, 291, 10282, 81, 681, 280, 617, 12758, 81, 452, 81, 878, 26, 784, 32, 15324, 81, 681, 27, 291, 442, 5461, 101, 904, 86, 904, 101, 904, 101, 20, 904, 308, 15324, 81, 681, 30, 630, 32, 678, 81, 2142, 30, 1378, 22329, 32, 12236, 4215, 32, 12124, 81, 452, 81, 878, 26, 784, 32, 12124, 471, 1378, 22329, 32, 32846, 1114, 1439, 40, 38, 1147, 26, 784, 32, 15324, 490, 284, 665, 645, 81, 878, 26, 6933, 30, 18940, 823, 30, 540, 12010, 30, 20008, 30, 7382, 280, 1665, 30, 1875, 6199, 518, 280, 2933, 711, 291, 10282, 81, 681, 280, 617, 12758, 81, 1070, 81, 878, 26, 13586, 32, 371, 81, 800, 1157, 291, 1202, 81, 2142, 280, 20008, 32, 371, 81, 1774, 35, 40, 346, 291, 8218, 280, 22329, 32, 12236, 4215, 32, 12124, 81, 1070, 81, 878, 26, 13586, 32, 371, 81, 800, 1157, 291, 415, 8218, 333, 225, 34, 556, 8218, 848, 225, 36, 39, 39, 44, 324, 3636, 22329, 32, 3893, 32, 40672, 440 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 5, 4, 4, 6, 6, 6, 3, 5, 4, 4, 6, 6, 6, 3, 5, 4, 4, 6, 6, 6, 3, 5, 5, 5, 4, 4, 6, 6, 3, 5, 5, 5, 4, 4, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 4, 4, 5, 5, 5, 3, 3, 3, 6, 6, 4, 4, 5, 5, 5, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 6, 7, 6, 7, 6, 2, 2, 3, 4, 5, 5, 3, 3, 3, 5, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 6, 7, 6, 7, 6, 2, 2, 3, 4, 5, 5, 3, 3, 3, 5, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 5, 4, 5, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 9, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 7, 8, 9, 9, 9, 7, 7, 7, 10, 11, 11, 9, 10, 10, 10, 10, 10, 9, 11, 10, 11, 9, 7, 7, 10, 11, 9, 10, 10, 10, 10, 9, 11, 10, 11, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 6, 6, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 11, 10, 11, 11, 11, 10, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 6, 6, 9, 10, 10, 8, 9, 9, 9, 9, 9, 8, 11, 10, 11, 11, 11, 10, 4, 4, 5, 7, 7, 8, 6, 6, 7, 7, 8, 8, 8, 5, 5, 5, 7, 10, 11, 9, 10, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 1, 2, 2, 0, 4, 4, 1, 2, 0, 5, 5, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 3, 3, 1, 1, 2, 2, 0, 5, 5, 1, 1, 2, 2, 0, 0, 0, 7, 7, 1, 2, 2, 0, 0, 0, 9, 9, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 1, 1, 2, 5, 5, 2, 2, 2, 2, 1, 2, 7, 7, 2, 2, 2, 2, 2, 2, 1, 2, 9, 9, 2, 2, 2, 2, 2, 2, 0, 8, 8, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 2, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 2, 1, 1, 1, 0, 10, 10, 2, 0, 0, 2, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 2, 9, 9, 2, 2, 0, 0, 11, 11, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 3, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 0, 0, 2, 0, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 505, 2116, 505, 280, 313, 57, 1582, 16674, 271, 44584, 20, 203, 505, 11794, 505, 280, 313, 10581, 225, 36, 34, 35, 35, 30, 886, 1910, 7121, 1023, 2074, 20, 203, 505, 36157, 505, 280, 3037, 57, 1582, 16674, 271, 44584, 1446, 203, 505, 2077, 505, 280, 313, 21181, 20, 203, 505, 1648, 505, 280, 313, 35, 32, 43, 32, 35, 31, 1902, 20, 203, 505, 42086, 505, 280, 313, 57, 1582, 16674, 271, 44584, 20, 203, 505, 1935, 505, 280, 313, 5026, 3625, 271, 44584, 50, 7253, 32, 508, 20, 203, 1070, 15798, 1188, 19205, 30, 2575, 203, 1070, 10789, 418, 32, 2208, 1188, 3185, 81, 6506, 418, 81, 1274, 203, 1070, 2678, 91, 512, 32, 1262, 81, 9441, 12761, 289, 1188, 308, 1262, 81, 43476, 81, 329, 3503, 81, 3287, 81, 3631, 27, 203, 823, 12836, 2852, 13117, 12761, 289, 4470, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 366, 103, 81, 1274, 81, 605, 35, 280, 3185, 81, 6506, 418, 81, 1274, 26, 366, 103, 81, 1274, 35, 27, 291, 630, 32, 366, 103, 81, 1274, 81, 605, 36, 280, 3185, 81, 6506, 418, 81, 1274, 26, 366, 103, 81, 1274, 36, 27, 284, 665, 894, 81, 1262, 81, 43476, 81, 329, 3503, 81, 3287, 81, 3631, 26, 784, 711, 291, 4648, 280, 5296, 81, 43476, 81, 329, 3503, 81, 3287, 81, 3631, 26, 784, 32, 366, 103, 81, 1274, 81, 605, 35, 30, 20054, 3037, 69, 35, 392, 313, 101, 36, 3439, 20054, 18795, 81, 979, 81, 1262, 47, 35, 7447, 291, 2799, 280, 2107, 97, 35, 370, 330, 97, 39, 785, 291, 630, 32, 5299, 26, 7975, 30, 2799, 27, 291, 4648, 280, 5296, 81, 43476, 81, 329, 3503, 81, 3287, 81, 3631, 26, 784, 32, 366, 103, 81, 1274, 81, 605, 35, 30, 20054, 3037, 69, 35, 392, 313, 101, 36, 3439, 20054, 18795, 81, 979, 81, 1262, 47, 34, 32, 39, 27, 291, 2799, 280, 2107, 97, 35, 370, 330, 97, 37, 370, 330, 97, 39, 785, 291, 630, 32, 5299, 26, 7975, 30, 2799, 27, 284, 665, 894, 81, 1262, 81, 43476, 81, 329, 3503, 81, 3287, 81, 3631, 81, 5790, 26, 784, 711, 291, 630, 32, 23895, 26, 22239, 30, 3775, 5296, 81, 43476, 81, 329, 3503, 81, 3287, 81, 3631, 30, 3775, 630, 32, 366, 103, 81, 1274, 81, 605, 35, 30, 3775, 3037, 69, 35, 392, 313, 101, 36, 3439, 3775, 18795, 81, 979, 81, 1262, 47, 35, 32, 34, 34, 35, 27, 291, 630, 32, 23895, 26, 22239, 30, 3775, 5296, 81, 43476, 81, 329, 3503, 81, 3287, 81, 3631, 30, 3775, 630, 32, 366, 103, 81, 1274, 81, 605, 35, 30, 3775, 3037, 69, 35, 392, 313, 101, 36, 3439, 3775, 18795, 81, 979, 81, 1262, 6593, 34, 32, 34, 34, 35, 27, 284, 665, 894, 81, 1262, 81, 43476, 81, 329, 3503, 81, 3287, 81, 3631, 81, 1347, 81, 1262, 26, 784, 711, 291, 4648, 280, 5296, 81, 43476, 81, 329, 3503, 81, 3287, 81, 3631, 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, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 11, 11, 11, 9, 11, 11, 11, 8, 8, 10, 10, 10, 10, 9, 10, 10, 4, 4, 6, 6, 9, 9, 9, 7, 9, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 7, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 11, 11, 11, 9, 11, 11, 11, 8, 8, 10, 10, 10, 10, 9, 10, 10, 10, 8, 4, 4, 6, 6, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 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, 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, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 8, 8, 8, 8, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 1, 2, 2, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 0, 0, 0, 0, 5, 2, 2, 4, 4, 0, 0, 1, 1, 2, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 0, 0, 0, 0, 5, 2, 2, 2, 1, 4, 4, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 2, 1, 1, 0, 0, 0, 0, 9, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 2, 1, 1, 0, 0, 0, 0, 9, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 1070, 26015, 1188, 281, 81, 1117, 81, 98, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 42986, 32, 731, 1188, 34865, 984, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 823, 34865, 1761, 26, 1473, 711, 284, 617, 1753, 280, 1665, 284, 8414, 81, 681, 280, 281, 81, 1117, 81, 98, 284, 665, 617, 371, 81, 1753, 26, 784, 711, 291, 415, 630, 1114, 1753, 44, 442, 630, 1114, 1753, 291, 813, 44, 3636, 34865, 984, 463, 29260, 904, 101, 4956, 1289, 8928, 2080, 4564, 904, 630, 3667, 823, 29215, 426, 8223, 284, 665, 617, 470, 81, 1753, 26, 784, 30, 8414, 711, 291, 415, 6937, 26, 1753, 30, 18792, 32, 5823, 81, 2516, 711, 324, 630, 1114, 1753, 280, 630, 32, 1753, 81, 681, 26, 1753, 27, 291, 4348, 8414, 438, 1665, 556, 6937, 26, 1753, 30, 630, 32, 1753, 81, 681, 711, 324, 630, 1114, 1753, 280, 8414, 291, 813, 44, 324, 3636, 12678, 463, 383, 14600, 4956, 827, 683, 284, 8414, 280, 2804, 2176, 371, 81, 1753, 30, 617, 470, 81, 1753, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 7, 8, 9, 5, 5, 6, 6, 8, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 14, 14, 13, 13, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 8, 9, 9, 9, 7, 5, 5, 9, 10, 8, 8, 10, 11, 11, 11, 10, 11, 10, 5, 5, 6, 8, 8, 7, 7, 9, 10, 9, 9, 10, 11, 11, 11, 9, 6, 6, 10, 11, 9, 9, 5, 5, 6, 6, 6, 8, 10, 12, 12, 12, 12, 12, 2, 2, 4, 4, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 8, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 5, 5, 5, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 1360, 203, 465, 2322, 203, 465, 5237, 203, 1070, 358, 8407, 32, 3206, 1188, 14975, 3818, 30, 10572, 30, 19848, 203, 1211, 686, 89, 280, 1360, 32, 944, 81, 1855, 463, 20111, 81, 1582, 81, 2304, 370, 330, 3477, 33, 20111, 33, 20111, 81, 1582, 81, 2304, 32, 978, 683, 203, 589, 2290, 81, 761, 81, 266, 81, 1515, 26, 5660, 30, 2276, 30, 5202, 26409, 5016, 1057, 7831, 284, 415, 646, 5016, 32, 15990, 3949, 7831, 291, 5016, 280, 18491, 474, 5016, 284, 436, 2738, 761, 328, 2276, 44, 291, 415, 2322, 32, 983, 32, 29712, 26, 500, 32, 983, 32, 2524, 26, 5660, 30, 5202, 474, 2738, 761, 474, 5016, 8531, 324, 442, 2738, 761, 284, 442, 4247, 203, 589, 883, 81, 1832, 26, 5134, 711, 284, 415, 5624, 328, 3037, 4259, 18270, 291, 442, 3177, 3701, 442, 2933, 203, 589, 438, 81, 6565, 2262, 284, 442, 3177, 203, 589, 1933, 81, 761, 81, 1347, 81, 3227, 26, 1617, 81, 1515, 30, 7112, 81, 1515, 30, 636, 711, 284, 645, 22977, 1188, 1933, 761, 284, 1561, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 1617, 81, 1515, 30, 636, 27, 284, 7112, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 6298, 81, 1515, 30, 636, 27, 284, 1849, 81, 2991, 280, 2933, 284, 415, 646, 2322, 32, 983, 32, 34103, 26, 6298, 81, 1515, 711, 291, 2322, 32, 10174, 26, 6298, 81, 1515, 27, 284, 4348, 2322, 32, 983, 32, 4658, 26, 6298, 81, 983, 711, 291, 1849, 81, 2991, 280, 3177, 284, 415, 1849, 81, 2991, 44, 291, 1933, 761, 26, 1617, 81, 983, 30, 7112, 81, 983, 27, 203, 589, 8488, 26, 2121, 711, 284, 4533, 32, 539, 81, 1753, 1851, 280, 2933, 284, 4533, 32, 669, 81, 1647, 81, 1648, 81, 800, 440, 20111, 657, 284, 4533, 6862, 280, 19848, 346, 284, 4533, 6862, 32, 1103, 26, 5957, 3818, 463, 20111, 81, 1574, 370, 330, 5972, 1247, 2552, 25929, 370, 3177, 490, 284, 4533, 6862, 32, 2333, 26, 2121, 27, 284, 7030, 280, 4533, 710, 5960, 785, 284, 25929, 81, 1574, 280, 4533, 710, 20111, 81, 1574, 785, 284, 25929, 81, 1356, 81, 4243, 280, 2107, 20111, 31, 36, 32, 34, 31, 1872, 272, 370, 330, 1211, 500, 2518, 31, 36, 32, 34, 785, 284, 415, 4533, 710, 5134, 785, 610, 330, 5910, 950, 291, 415, 25929, 81, 1574, 44, 324, 3636, 26405, 463, 20111, 31, 1574, 44, 3182, 5420, 544, 4017, 683, 291, 415, 7030, 610, 330, 37, 36, 950, 324, 415, 2322, 32, 23407, 463, 10518, 65, 37, 36, 81, 9857, 7831, 400, 25929, 81, 2388, 280, 2322, 32, 23407, 463, 10518, 65, 37, 36, 81, 9857, 683, 324, 4348, 2322, 32, 426, 610, 330, 566, 950, 400, 25929, 81, 2388, 280, 3777, 686, 89, 32, 1809, 81, 20111, 81, 2388, 81, 1515, 26, 5960, 27, 291, 813, 44, 324, 415, 2322, 32, 23407, 463, 10518, 65, 40, 38, 81, 9857, 7831, 400, 25929, 81, 2388, 280, 2322, 32, 23407, 463, 10518, 65, 40, 38, 81, 9857, 683, 324, 4348, 2322, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 5, 1, 1, 3, 4, 6, 7, 6, 8, 3, 3, 6, 6, 7, 7, 2, 2, 3, 4, 3, 3, 3, 3, 3, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 9, 9, 11, 11, 12, 10, 10, 9, 5, 5, 7, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 7, 7, 3, 3, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 3, 3, 5, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 6, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 3, 3, 7, 8, 7, 8, 8, 8, 7, 3, 3, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 4, 4, 8, 8, 7, 7, 2, 2, 3, 4, 4, 3, 3, 3, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 0, 1, 1, 2, 3, 2, 1, 1, 5, 6, 6, 6, 6, 4, 4, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 2, 2, 5, 4, 4, 6, 2, 2, 6, 5, 6, 5, 7, 7, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 7, 2, 2, 6, 5, 6, 5, 6, 5, 2, 2, 4, 4, 5, 7, 7, 2, 2, 5, 5, 4, 4, 5, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 5, 7, 7, 4, 4, 6, 6, 3, 3, 5, 6, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 6, 8, 8, 8, 5, 5, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 7, 7, 11, 11, 10, 10, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 7, 7, 8, 10, 11, 9, 9, 11, 11, 8, 8, 12, 12, 11, 11, 14, 14, 13, 14, 14, 14, 14, 14, 14, 14, 13, 14, 13, 5, 5, 6, 6, 6, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 8, 8, 12, 12, 11, 11, 13, 14, 13, 15, 15, 15, 15, 15, 15, 15, 8, 8, 9, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 7, 1, 5, 5, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 3, 3, 1, 0, 0, 0, 1, 4, 4, 2, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 4, 4, 1, 0, 7, 7, 1, 1, 2, 7, 7, 0, 0, 8, 8, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 8, 8, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 5, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 9, 9, 2, 1, 2, 9, 9, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 8, 0, 1, 2, 1, 1, 1, 2, 8, 8, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 0 ]
[ 465, 23978, 203, 465, 1133, 203, 1216, 330, 3573, 8725, 19720, 2297, 623, 23978, 25378, 96, 25, 203, 978, 3626, 32, 3597, 19720, 32, 1664, 346, 203, 1516, 280, 23978, 32, 3597, 19720, 32, 371, 81, 998, 346, 203, 325, 1929, 9478, 225, 34, 44, 284, 281, 280, 225, 35, 284, 415, 1929, 9478, 225, 35, 44, 291, 1459, 330, 8309, 438, 904, 86, 8725, 738, 6758, 30, 9173, 1591, 4564, 904, 1929, 291, 281, 280, 1509, 30554, 48, 7788, 291, 2218, 308, 85, 333, 225, 35, 27, 556, 308, 85, 848, 1929, 711, 324, 1459, 330, 19129, 8725, 19720, 1451, 30, 9173, 4056, 4564, 324, 281, 280, 1509, 30554, 48, 7788, 284, 1459, 330, 8296, 372, 7379, 8725, 19720, 904, 86, 4564, 904, 281, 284, 1672, 38944, 280, 23978, 32, 3597, 19720, 32, 38944, 26, 34, 27, 284, 1672, 38944, 32, 1664, 346, 284, 415, 1672, 38944, 32, 371, 81, 1664, 2262, 291, 23978, 32, 1664, 346, 291, 1459, 330, 38944, 904, 86, 10149, 8765, 4564, 904, 281, 291, 1459, 330, 606, 44, 904, 101, 25, 904, 1672, 38944, 32, 371, 81, 314, 346, 291, 1459, 330, 558, 44, 904, 101, 25, 904, 1672, 38944, 32, 371, 81, 426, 346, 291, 17478, 280, 1672, 38944, 32, 371, 81, 1516, 15019, 346, 291, 1459, 330, 26096, 44, 904, 101, 25, 904, 17478, 291, 323, 10540, 280, 1672, 38944, 32, 371, 81, 1516, 84, 10540, 346, 291, 1459, 330, 52, 10540, 44, 904, 101, 25, 904, 323, 10540, 291, 12033, 280, 1672, 38944, 32, 371, 81, 1516, 11430, 346, 291, 1459, 330, 11556, 44, 904, 101, 25, 904, 12033, 291, 420, 1966, 280, 1672, 38944, 32, 371, 81, 1516, 90, 1966, 346, 291, 1459, 330, 58, 1966, 44, 904, 101, 25, 904, 420, 1966, 291, 22438, 280, 3177, 291, 2218, 22438, 610, 3177, 44, 324, 23978, 32, 1567, 32, 31190, 346, 324, 436, 1692, 328, 23978, 32, 1567, 32, 371, 2262, 400, 415, 1692, 32, 681, 610, 23978, 32, 46429, 31829, 13813, 1016, 44, 528, 1459, 330, 6353, 904, 86, 44, 904, 88, 25, 904, 308, 1567, 32, 5082, 30, 1567, 32, 853, 27, 400, 415, 1692, 32, 681, 610, 23978, 32, 46429, 52, 2320, 13813, 1016, 44, 528, 1459, 330, 25616, 904, 86, 44, 15978, 86, 1717, 904, 86, 6457, 904, 308, 1567, 32, 11653, 30, 1567, 32, 2808, 27, 400, 415, 1692, 32, 681, 610, 23978, 32, 46429, 15001, 10445, 44, 528, 1459, 330, 1714, 904, 86, 21394, 4564, 904, 1692, 32, 1640, 400, 415, 1692, 32, 681, 610, 23978, 32, 46429, 15001, 2418, 44, 528, 1459, 330, 1714, 904, 86, 12546, 4564, 904, 1692, 32, 1640, 400, 415, 1692, 32, 681, 610, 23978, 32, 46429, 58, 722, 13813, 1016, 44, 528, 1459, 330, 41589, 904, 86, 44, 330, 904, 1692, 32, 8707, 528, 1459, 1692, 32, 853, 284, 813, 44, 291, 1459, 330, 38944, 904, 86, 646, 8765, 30, 943, 432, 3460, 4564, 904, 281, 203, 1824, 44, 284, 1459, 330, 6738, 312, 8725, 19720, 2670, 1420, 458, 3460, 4564, 203, 978, 3626, 32, 3597, 19720, 32, 16997, 346, 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, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 4, 3, 0, 5, 5, 4, 5, 5, 3, 4, 3, 0, 3, 2, 2, 5, 6, 6, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 3, 1, 1, 1, 4, 4, 5, 2, 2, 3, 4, 4, 5, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 6, 6, 8, 10, 10, 4, 4, 5, 9, 8, 8, 9, 7, 6, 6, 9, 8, 8, 7, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 10, 12, 12, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 4, 4, 7, 8, 8, 6, 7, 6, 7, 6, 2, 2, 6, 5, 6, 5, 2, 2, 3, 6, 5, 6, 6, 6, 5, 3, 3, 7, 8, 7, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 5, 8, 8, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 10, 11, 9, 10, 9, 6, 6, 7, 7, 7, 10, 11, 9, 10, 9, 7, 7, 9, 11, 12, 10, 10, 11, 12, 12, 12, 12, 9, 9, 9, 11, 14, 14, 14, 14, 14, 14, 14, 12, 12, 15, 14, 15, 13, 15, 14, 15, 13, 8, 8, 9, 11, 12, 10, 10, 11, 12, 12, 12, 12, 12, 9, 9, 9, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 15, 14, 15, 13, 15, 14, 15, 13, 8, 8, 9, 11, 12, 10, 10, 11, 12, 12, 12, 9, 9, 9, 11, 14, 14, 14, 14, 14, 12, 12, 13, 14, 8, 8, 9, 11, 12, 10, 10, 11, 12, 12, 12, 9, 9, 9, 11, 14, 14, 14, 14, 14, 12, 12, 13, 14, 8, 8, 9, 11, 12, 10, 10, 11, 12, 12, 12, 12, 12, 9, 9, 9, 11, 14, 14, 14, 14, 14, 12, 12, 13, 14, 10, 10, 11, 12, 13, 3, 3, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 1, 2, 2, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 5, 5, 4, 5, 5, 3, 4, 3, 0 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 5, 5, 1, 1, 2, 5, 5, 5, 0, 0, 2, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 3, 3, 5, 0, 0, 2, 2, 2, 1, 5, 5, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 3, 3, 3, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 3, 3, 5, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 7, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 3, 3, 9, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 11, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 3, 3, 13, 1, 1, 13, 13, 13, 0, 2, 0, 2, 1, 3, 3, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 3, 2, 2, 5, 5, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 3, 2, 2, 5, 5, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 5, 3, 0, 2, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 5, 4, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 2, 5, 5, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0 ]
[ 465, 2322, 203, 465, 1133, 203, 1070, 35094, 1188, 33845, 203, 1070, 328, 2465, 716, 32, 1439, 32, 19981, 1188, 8444, 203, 589, 3219, 81, 11754, 104, 17402, 26, 2067, 30, 14707, 711, 284, 1596, 44, 291, 2830, 32, 7615, 81, 605, 1365, 2184, 1446, 280, 14707, 32, 7615, 81, 605, 1365, 2184, 1446, 284, 2940, 25085, 44, 291, 14707, 32, 751, 32, 731, 440, 2023, 2075, 436, 458, 2899, 1159, 2583, 2431, 32, 2030, 438, 4195, 20, 2855, 313, 6939, 322, 2412, 2899, 3065, 3803, 556, 1389, 646, 619, 2799, 657, 291, 2830, 32, 7615, 81, 605, 1365, 2184, 1446, 280, 2149, 284, 14707, 32, 751, 32, 1338, 440, 416, 432, 3219, 81, 11754, 104, 17402, 657, 203, 1664, 81, 11754, 104, 17402, 32, 2310, 280, 330, 2130, 10926, 104, 17402, 25, 203, 589, 17495, 81, 97, 3044, 81, 4911, 90, 81, 7895, 26, 2067, 30, 14707, 711, 284, 645, 4377, 2304, 1188, 7248, 81, 46212, 81, 1070, 81, 800, 284, 415, 313, 97, 3044, 11754, 21549, 20, 646, 328, 14707, 32, 7615, 81, 605, 44, 291, 14707, 32, 7615, 81, 605, 1365, 97, 3044, 11754, 21549, 1446, 280, 2149, 284, 415, 313, 35089, 20, 646, 328, 14707, 32, 7615, 81, 605, 1365, 97, 3044, 11754, 21549, 18270, 291, 14707, 32, 7615, 81, 605, 1365, 97, 3044, 11754, 21549, 9557, 35089, 1446, 280, 1605, 284, 415, 646, 2830, 32, 605, 44, 291, 2830, 32, 751, 32, 731, 440, 2023, 706, 2431, 328, 1300, 15981, 291, 442, 3177, 284, 4348, 6937, 26, 2067, 32, 605, 30, 1149, 711, 291, 2830, 32, 605, 280, 2830, 32, 605, 77, 34, 79, 284, 7248, 280, 308, 7895, 81, 46212, 81, 1070, 81, 800, 26, 2067, 32, 605, 27, 556, 1750, 7248, 81, 46212, 81, 1070, 81, 800, 26, 2067, 32, 605, 30, 337, 3044, 81, 2011, 38913, 556, 1750, 7746, 284, 2830, 32, 7615, 81, 605, 1365, 97, 3044, 81, 7895, 1446, 280, 7248, 284, 415, 7248, 328, 14707, 32, 7615, 81, 605, 1365, 97, 3044, 11754, 21549, 9557, 35089, 18270, 291, 442, 3177, 284, 813, 44, 291, 14707, 32, 7615, 81, 605, 1365, 97, 3044, 11754, 21549, 9557, 35089, 6494, 1689, 26, 7895, 27, 291, 442, 2933, 203, 589, 622, 81, 20195, 81, 668, 26, 20195, 47, 22805, 284, 645, 328, 2465, 716, 32, 3477, 32, 97, 3044, 11754, 104, 16979, 32, 3378, 1188, 546, 3044, 58, 783, 2478, 635, 284, 645, 30902, 32, 494, 32, 14806, 1188, 21138, 5472, 3595, 30, 3139, 1394, 3595, 284, 477, 4071, 101, 26, 371, 81, 20195, 81, 668, 27, 284, 665, 617, 371, 81, 20195, 81, 668, 26, 2067, 30, 14707, 711, 291, 19921, 81, 452, 81, 11754, 21549, 280, 19921, 291, 25195, 668, 81, 1433, 280, 1605, 291, 415, 2830, 32, 7615, 81, 605, 1365, 2184, 9557, 6319, 18270, 324, 19921, 81, 452, 81, 11754, 21549, 280, 2830, 32, 7615, 81, 605, 1365, 2184, 9557, 6319, 1446, 291, 415, 19921, 81, 452, 81, 11754, 21549, 44, 324, 436, 25195, 426, 328, 19921, 81, 452, 81, 11754, 21549, 44, 400, 1596, 44, 528, 25195, 668, 81, 1433 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 8, 9, 9, 9, 7, 9, 9, 6, 6, 8, 9, 9, 9, 7, 9, 9, 3, 3, 4, 4, 4, 4, 9, 10, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 9, 10, 10, 10, 8, 10, 10, 7, 7, 2, 2, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 0, 4, 4, 4, 4, 4, 3, 4, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 6, 3, 3, 5, 5, 5, 5, 5, 5, 2, 2, 3, 6, 6, 6, 6, 6, 4, 4, 4, 5, 6, 6, 6, 3, 3, 3, 8, 9, 9, 9, 7, 9, 9, 9, 9, 9, 6, 6, 2, 2, 3, 6, 6, 4, 4, 4, 6, 7, 7, 7, 5, 7, 7, 7, 7, 7, 3, 3, 9, 10, 10, 10, 8, 10, 10, 10, 10, 10, 9, 9, 6, 6, 2, 2, 3, 4, 5, 6, 3, 3, 3, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 3, 3, 4, 6, 8, 7, 8, 6, 6, 6, 4, 4, 8, 9, 7, 7, 9, 10, 8, 9, 8, 2, 2, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 9, 9, 11, 11, 11, 10, 6, 6, 6, 2, 2, 6, 7, 7, 7, 5, 7, 7, 7, 7, 7, 4, 4, 2, 2, 3, 4, 4, 7, 8, 8, 8, 6, 8, 8, 8, 8, 8, 7, 7, 3, 3, 5, 3, 3, 4, 4, 4, 11, 12, 12, 12, 10, 12, 12, 12, 12, 12, 11, 11, 9, 8, 9, 8, 5, 5, 6, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 1, 1, 3, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 3, 3, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 4, 5, 3, 3, 5, 5, 3, 3, 5, 5, 2, 2, 6, 6, 6, 7, 7, 7, 7, 7, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 7, 7, 5, 5, 8, 8, 8, 7, 7, 5, 5, 6, 9, 10, 10, 10, 8, 10, 10, 9, 9, 6, 6, 10, 10, 10, 10, 10, 9, 9, 12, 13, 13, 13, 11, 13, 13, 12, 12, 5, 5, 6, 7, 7, 7, 7, 7, 6, 6, 6, 8, 9, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 10, 10, 10, 15, 15, 15 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 0, 1, 2, 0, 0, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 4, 4, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 4, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 3, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 4, 4, 6, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 6, 6, 4, 4, 4, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 7, 7, 1, 1, 1, 1, 2, 0, 1, 2, 7, 7, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 1, 6, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 2, 1, 4, 1, 1, 0, 0, 1, 1, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 3, 3, 3, 0, 1, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 638, 1262, 1188, 21384, 30, 40858, 3303, 1339, 30, 3891, 10636, 203, 1070, 638, 2810, 1188, 3846, 2084, 203, 1070, 638, 4642, 1188, 6480, 885, 203, 1070, 31863, 8524, 1188, 596, 81, 2516, 203, 823, 7778, 3289, 26, 26614, 1339, 711, 284, 477, 23151, 26, 1653, 885, 27, 284, 665, 6612, 26, 853, 711, 284, 477, 23151, 26, 1653, 885, 27, 284, 665, 4323, 26, 853, 711, 284, 477, 23151, 26, 1653, 885, 27, 284, 665, 1974, 26, 853, 711, 284, 477, 23151, 26, 1653, 885, 27, 284, 665, 14517, 26, 853, 711, 203, 823, 7778, 2084, 26, 26614, 1339, 711, 284, 477, 23151, 26, 466, 81, 2516, 27, 284, 665, 706, 26, 853, 711, 284, 477, 23151, 26, 668, 27, 284, 665, 4522, 26, 853, 711, 203, 823, 7778, 26, 26614, 1339, 711, 284, 617, 1327, 81, 681, 81, 2810, 280, 20073, 470, 4901, 6587, 370, 330, 7010, 370, 330, 983, 370, 330, 10242, 370, 330, 3768, 370, 1891, 330, 928, 370, 330, 893, 370, 330, 878, 370, 330, 1363, 3490, 284, 477, 23151, 26, 466, 81, 2516, 27, 284, 665, 636, 26, 853, 711, 284, 477, 23151, 26, 466, 81, 2516, 27, 284, 665, 3048, 26, 853, 711, 284, 477, 23151, 26, 466, 81, 2516, 27, 284, 665, 827, 26, 853, 711, 291, 415, 786, 646, 328, 7778, 1114, 1327, 81, 681, 81, 2810, 44, 324, 3636, 10091, 26, 400, 330, 5790, 3634, 827, 904, 101, 30, 2080, 3738, 884, 904, 101, 25, 904, 308, 528, 786, 30, 7778, 1114, 1327, 81, 681, 81, 2810, 490, 284, 477, 23151, 26, 23151, 81, 681, 47, 4494, 2084, 30, 21384, 81, 426, 1057, 1070, 683, 284, 665, 645, 5908, 853, 711, 284, 477, 23151, 26, 4494, 3289, 27, 284, 665, 4308, 26, 853, 711, 284, 477, 23151, 26, 466, 81, 2516, 27, 284, 665, 1202, 26, 853, 711, 284, 477, 23151, 26, 882, 2084, 27, 284, 665, 7808, 26, 853, 711, 284, 477, 23151, 26, 466, 81, 2516, 27, 284, 665, 12935, 26, 853, 711, 284, 477, 23151, 26, 668, 27, 284, 665, 26729, 26, 853, 711, 284, 477, 23151, 1162, 668, 30, 3891, 10636, 490, 284, 665, 31948, 26, 853, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 6, 6, 7, 7, 6, 3, 3, 4, 5, 6, 5, 2, 2, 6, 6, 7, 7, 6, 3, 3, 4, 5, 6, 5, 2, 2, 6, 6, 7, 7, 6, 3, 3, 4, 5, 6, 5, 2, 2, 6, 6, 7, 7, 6, 3, 3, 4, 5, 6, 5, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 6, 6, 7, 7, 7, 6, 3, 3, 4, 5, 6, 5, 2, 2, 6, 6, 7, 6, 3, 3, 4, 5, 6, 5, 0, 1, 1, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 2, 2, 6, 6, 7, 7, 7, 6, 3, 3, 4, 5, 6, 5, 2, 2, 6, 6, 7, 7, 7, 6, 3, 3, 4, 5, 6, 5, 2, 2, 6, 6, 7, 7, 7, 6, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 7, 7, 8, 9, 9, 9, 9, 9, 6, 6, 6, 8, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 12, 12, 12, 13, 14, 14, 14, 14, 14, 12, 2, 2, 6, 6, 8, 8, 8, 7, 8, 8, 6, 6, 8, 8, 7, 9, 9, 3, 3, 4, 5, 6, 5, 2, 2, 6, 6, 7, 7, 6, 3, 3, 4, 5, 6, 5, 2, 2, 6, 6, 7, 7, 7, 6, 3, 3, 4, 5, 6, 5, 2, 2, 6, 6, 7, 7, 6, 3, 3, 4, 5, 6, 5, 2, 2, 6, 6, 7, 7, 7, 6, 3, 3, 4, 5, 6, 5, 2, 2, 6, 6, 7, 6, 3, 3, 4, 5, 6, 5, 2, 2, 6, 6, 8, 7, 7, 8, 7, 3, 3, 4, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 3, 3, 1, 2, 1, 2, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 6, 6, 2, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 3, 1, 2, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 5, 5, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 6, 6, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 7, 7, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 8, 8, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 9, 9, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 3, 1, 10, 10, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 7138, 1188, 7138, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 638, 3378, 1188, 20671, 30, 44121, 11481, 30, 11038, 203, 823, 516, 282, 27186, 1527, 14792, 4470, 26, 7233, 711, 284, 665, 28921, 26, 784, 711, 291, 415, 646, 20671, 1114, 2859, 32, 371, 81, 5323, 81, 1170, 44, 324, 20671, 1114, 2859, 32, 371, 81, 5323, 81, 1170, 280, 330, 2862, 81, 770, 25, 284, 665, 894, 81, 1928, 27186, 26, 784, 711, 291, 623, 630, 32, 23895, 26, 11481, 32, 34747, 711, 324, 20671, 32, 5740, 32, 1928, 27186, 346, 291, 312, 35, 280, 20671, 32, 5740, 32, 1297, 26, 324, 31963, 347, 11481, 225, 35, 392, 2547, 81, 770, 47, 6665, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 36, 40, 471, 324, 27245, 81, 770, 47, 6665, 26, 36, 34, 34, 39, 30, 225, 43, 30, 225, 35, 27, 291, 829, 291, 312, 36, 280, 20671, 32, 5740, 32, 1297, 26, 324, 31963, 347, 11481, 225, 36, 392, 2547, 81, 770, 47, 6665, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 36, 41, 471, 324, 27245, 81, 770, 47, 6665, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 36, 42, 27, 291, 829, 291, 20671, 32, 5740, 32, 1297, 26, 324, 31963, 347, 11481, 225, 37, 392, 2547, 81, 770, 47, 6665, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 36, 42, 471, 324, 27245, 81, 770, 47, 6665, 26, 36, 34, 34, 39, 30, 225, 42, 30, 225, 36, 41, 27, 291, 829, 291, 20671, 32, 5740, 32, 1297, 26, 324, 31963, 347, 11481, 225, 38, 392, 2547, 81, 770, 47, 6665, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 36, 42, 471, 324, 27245, 81, 770, 47, 6665, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 37, 34, 27, 291, 829, 291, 630, 32, 5299, 26, 11481, 32, 5740, 32, 1928, 27186, 1026, 312, 35, 27, 291, 630, 32, 5299, 26, 324, 20671, 32, 5740, 32, 2029, 26, 2862, 81, 770, 505, 1837, 47, 6665, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 36, 40, 3427, 1928, 27186, 1026, 324, 312, 36, 291, 829, 291, 630, 32, 5299, 26, 11481, 32, 5740, 32, 1928, 27186, 463, 24239, 81, 770, 1425, 312, 36, 27, 291, 630, 32, 5299, 26, 11481, 32, 5740, 32, 2029, 26, 324, 2547, 81, 770, 505, 1837, 47, 6665, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 36, 40, 3427, 1928, 27186, 463, 24239, 81, 770, 1425, 312, 36, 27, 291, 630, 32, 5299, 26, 11481, 32, 5740, 32, 1174, 81, 1170, 463, 314, 1814, 1928, 27186, 1026, 312, 35, 27, 291, 20671, 32, 5740, 32, 1160, 1114, 2859, 32, 371, 81, 5323, 81, 1170, 280, 1665, 291, 623, 630, 32, 23895, 1175, 26, 324, 34835, 30, 324, 313, 1928, 27186, 346, 461, 6615, 346, 1205, 3154, 312, 1600, 81, 426, 3395, 556, 313, 324, 5335, 371, 81, 5323, 81, 1170, 25, 328, 322, 1542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 6, 8, 9, 7, 8, 8, 8, 8, 8, 5, 5, 5, 10, 11, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 11, 10, 11, 9, 5, 5, 10, 11, 9, 10, 10, 9, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 8, 10, 10, 9, 11, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 8, 8, 10, 10, 9, 11, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 11, 8, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 8, 10, 10, 9, 11, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 8, 8, 10, 10, 9, 11, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 8, 8, 4, 4, 8, 9, 7, 8, 7, 7, 7, 8, 10, 10, 10, 10, 7, 9, 9, 8, 10, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 7, 7, 9, 9, 8, 10, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 7, 7, 4, 4, 8, 9, 7, 8, 7, 7, 7, 8, 10, 10, 10, 10, 7, 9, 9, 8, 10, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 7, 7, 9, 9, 8, 10, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 7, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 9, 7, 8, 7, 4, 4, 7, 8, 7, 7, 7, 12, 13, 11, 12, 11, 13, 13, 13, 13, 13, 12, 14, 14, 15, 15, 15, 15, 14, 14, 15, 14, 14, 15, 15, 14, 10, 10, 9, 7, 7, 8, 7, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 9, 11, 11, 11, 11, 7, 8, 7, 4, 4, 7, 8, 7, 13, 12, 13, 11, 12, 11, 11, 11, 13, 13, 13, 13, 12, 14, 14, 15, 15, 15, 15, 14, 14, 15, 14, 14, 15, 15, 14, 10, 10, 9, 11, 11, 11, 11, 7, 8, 7, 4, 4, 7, 8, 7, 13, 12, 13, 11, 12, 12, 12, 11, 13, 13, 10, 10, 9, 7, 8, 7, 4, 4, 10, 11, 9, 10, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 5, 9, 10, 10, 9, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 0, 0, 5, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 0, 0, 5, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 0, 0, 5, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 0, 0, 5, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 2, 2, 1, 1, 1, 3, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 11, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 31074, 203, 465, 4134, 203, 465, 18105, 612, 203, 1070, 4377, 1188, 13489, 30, 46474, 30, 4527, 203, 1070, 4377, 494, 1188, 13625, 30, 14091, 203, 1070, 4377, 2602, 1188, 646, 3739, 556, 81, 203, 589, 20675, 81, 5866, 26, 1977, 81, 4170, 30, 5601, 30, 1115, 4124, 711, 284, 442, 37863, 5392, 26, 1977, 81, 4170, 30, 5601, 30, 1115, 4124, 27, 203, 3302, 41872, 2893, 81, 26681, 280, 4527, 32, 7010, 463, 3302, 41872, 2893, 81, 26681, 683, 203, 823, 37863, 5392, 26, 11201, 1114, 40451, 5871, 711, 284, 438, 81, 4890, 280, 3177, 284, 5016, 81, 681, 280, 32397, 41872, 2893, 81, 26681, 284, 665, 1156, 1664, 3207, 784, 30, 1760, 81, 4170, 30, 5601, 30, 21231, 47, 2521, 30, 353, 622, 470, 81, 5792, 47, 2521, 30, 7664, 81, 5792, 47, 2521, 30, 353, 7664, 81, 17245, 81, 470, 47, 2521, 711, 291, 630, 32, 1977, 81, 4170, 280, 1760, 81, 4170, 291, 630, 32, 853, 81, 2437, 280, 5601, 291, 630, 32, 16417, 280, 21231, 291, 630, 32, 371, 470, 81, 5792, 280, 622, 470, 81, 5792, 291, 630, 32, 5866, 81, 5792, 280, 7664, 81, 5792, 291, 630, 32, 5866, 81, 17245, 81, 470, 280, 7664, 81, 17245, 81, 470, 291, 630, 32, 875, 299, 81, 823, 280, 1665, 291, 630, 32, 678, 280, 7610, 23, 101, 16335, 101, 16335, 101, 25, 904, 308, 324, 827, 26, 784, 14585, 426, 7642, 1760, 81, 4170, 30, 804, 26, 784, 490, 291, 630, 32, 4170, 81, 823, 280, 1665, 284, 477, 2433, 284, 665, 6562, 81, 2437, 26, 784, 711, 291, 442, 18623, 26, 784, 32, 1977, 81, 823, 30, 630, 32, 853, 81, 2437, 27, 284, 477, 2433, 284, 665, 2196, 81, 2437, 26, 784, 711, 291, 442, 18623, 26, 784, 32, 875, 299, 81, 823, 30, 630, 32, 1977, 81, 4170, 27, 284, 477, 2433, 284, 665, 5601, 26, 784, 711, 291, 442, 308, 784, 32, 1696, 81, 2437, 30, 630, 32, 7001, 81, 2437, 27, 284, 665, 617, 371, 81, 2433, 26, 784, 711, 291, 442, 308, 494, 32, 823, 81, 13474, 26, 784, 32, 875, 299, 81, 823, 547, 400, 622, 81, 2433, 26, 784, 32, 1977, 81, 4170, 490, 284, 477, 1040, 32, 19118, 1191, 81, 2433, 284, 665, 1760, 81, 823, 26, 784, 711, 291, 442, 630, 1114, 371, 81, 2433, 922, 13474, 32, 823, 81, 284, 477, 1040, 32, 19118, 1191, 81, 2433, 284, 665, 13145, 26, 784, 711, 291, 13145, 280, 646, 630, 1114, 371, 81, 2433, 922, 539, 668, 291, 415, 13145, 44, 324, 630, 1114, 8788, 81, 13049, 81, 3560, 1734, 346, 291, 442, 13145, 284, 477, 1040, 32, 19118, 1191, 81, 2433, 284, 665, 617, 853, 81, 297, 81, 13049, 26, 784, 711, 291, 442, 646, 630, 1114, 371, 81, 2433, 922, 78, 528, 15065, 32, 371, 81, 2433, 26, 784, 32, 853, 81, 2437, 547, 539, 668, 284, 477, 1040, 32, 19118, 1191, 81, 2433, 284, 665, 617, 1977, 81, 297, 81, 1473, 26, 784, 711, 291, 442, 18623, 26, 784, 32, 1977, 81, 823 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 4, 2, 1, 1, 3, 5, 5, 6, 6, 6, 5, 5, 5, 5, 7, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 11, 12, 11, 10, 10, 8, 9, 9, 8, 8, 10, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 10, 9, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 11, 10, 11, 11, 11, 10, 12, 11, 12, 12, 12, 12, 10, 8, 8, 9, 9, 8, 10, 9, 10, 10, 10, 8, 2, 2, 6, 5, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 10, 11, 11, 11, 10, 9, 7, 8, 8, 2, 2, 6, 5, 6, 6, 6, 6, 3, 3, 4, 5, 6, 5, 4, 4, 7, 7, 8, 11, 12, 12, 12, 11, 10, 10, 5, 5, 6, 6, 6, 6, 10, 11, 11, 11, 11, 11, 11, 10, 5, 5, 6, 2, 2, 6, 5, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 13, 14, 14, 14, 13, 12, 12, 11, 10, 11, 11, 11, 10, 12, 11, 12, 12, 12, 10, 9, 9, 2, 2, 6, 5, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 10, 12, 11, 12, 12, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 4, 4, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 6, 6, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 2, 0, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 2, 2, 2, 2, 0, 0, 0, 9, 2, 2, 2, 0, 0, 11, 2, 2, 2, 2, 0, 0, 0, 0, 13, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 1, 5, 5, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 1, 2, 2, 2, 2, 7, 7, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 4, 4, 0, 1, 2, 2, 2, 2, 8, 8, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 4, 4, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 2, 4, 4, 0, 1, 2, 2, 2, 2, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 4, 4, 0, 1, 2, 2, 2, 2, 10, 10, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2 ]
[ 465, 298, 2209, 6634, 203, 465, 5102, 2548, 203, 1070, 5102, 2548, 32, 4275, 1188, 3139, 974, 203, 1070, 816, 1647, 32, 1286, 2157, 32, 1286, 1188, 1593, 1099, 2695, 81, 17033, 81, 6540, 203, 465, 5741, 203, 1070, 638, 1286, 1188, 14360, 1777, 30, 6256, 2780, 30, 14360, 1777, 1862, 203, 1070, 816, 1647, 32, 11452, 1188, 22931, 924, 203, 1070, 5980, 32, 500, 2548, 1188, 6642, 6883, 203, 465, 2322, 203, 465, 2361, 203, 1070, 30419, 32, 1155, 1188, 358, 567, 203, 1070, 32400, 81, 3494, 32, 16520, 32, 3494, 1188, 15930, 953, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11025, 1188, 2469, 2695, 81, 24111, 81, 29396, 203, 1070, 816, 1647, 32, 1040, 32, 14481, 1188, 15820, 81, 5790, 81, 24646, 203, 823, 14910, 1777, 2780, 26, 1777, 2780, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3408, 30, 3082, 30, 2601, 47, 36, 41, 34, 35, 41, 30, 1256, 47, 2521, 30, 3882, 47, 2521, 30, 8105, 1057, 2548, 370, 4491, 47, 2521, 30, 1115, 5321, 711, 291, 5741, 32, 2811, 463, 9515, 22717, 436, 907, 1795, 35487, 821, 3408, 1279, 34, 111, 2601, 1279, 35, 111, 3082, 1279, 36, 16805, 1643, 26, 2035, 30, 2601, 30, 3082, 490, 291, 10306, 32, 3235, 463, 28208, 885, 370, 1665, 27, 291, 617, 1199, 280, 298, 2209, 6634, 32, 4603, 32, 3954, 26, 324, 298, 2209, 6634, 32, 16396, 1486, 26, 400, 3408, 47, 2035, 30, 400, 2601, 47, 625, 30, 400, 1825, 81, 823, 47, 2665, 30, 400, 1115, 5321, 324, 2588, 324, 3082, 291, 829, 291, 415, 1256, 438, 646, 1665, 461, 3882, 438, 646, 1665, 44, 324, 617, 1199, 32, 22053, 26, 496, 30, 3882, 27, 291, 630, 32, 2548, 280, 5102, 2548, 32, 3552, 6883, 2176, 1199, 30, 8105, 27, 291, 630, 32, 2548, 81, 2536, 280, 617, 1199, 77, 6452, 474, 4939, 2536, 1446, 10065, 665, 4230, 81, 16717, 26, 784, 711, 291, 630, 32, 2548, 81, 2536, 32, 4603, 32, 3841, 32, 2679, 346, 284, 665, 617, 3798, 81, 4603, 26, 784, 711, 291, 630, 32, 2679, 81, 16717, 346, 291, 630, 32, 2548, 81, 2536, 32, 4603, 32, 3841, 32, 3798, 81, 4603, 26, 784, 32, 2548, 81, 2536, 32, 4603, 27, 284, 665, 4131, 26, 784, 30, 1795, 711, 291, 1795, 81, 314, 30, 1795, 81, 1155, 280, 630, 32, 5474, 81, 1199, 81, 678, 26, 1286, 32, 2645, 27, 291, 630, 32, 2560, 26, 1286, 81, 314, 27, 16189, 23189, 81, 2645, 280, 1795, 32, 12301, 81, 2645, 32, 452, 81, 15040, 81, 668, 81, 13707, 346, 415, 1795, 32, 12301, 81, 2645, 813, 1665, 291, 623, 630, 32, 2548, 32, 890, 81, 761, 2176, 314, 47, 1286, 81, 314, 30, 4870, 47, 9941, 26, 1286, 32, 2645, 471, 1795, 81, 681, 47, 1286, 32, 1286, 81, 681, 30, 4985, 2503, 426, 47, 1286, 32, 426, 30, 1795, 81, 1155, 47, 1286, 81, 1155, 30, 4985, 23189, 81, 2645, 47, 12301, 81, 2645, 30, 4985, 1188, 81, 983, 47, 1286, 32, 465, 81, 983, 30, 4985, 19142, 47, 32110, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 7, 7, 4, 5, 6, 4, 4, 6, 4, 3, 3, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 7, 7, 4, 4, 7, 6, 6, 10, 10, 9, 10, 8, 9, 8, 8, 8, 11, 11, 10, 11, 11, 10, 10, 10, 11, 12, 10, 10, 10, 11, 12, 10, 10, 10, 12, 12, 11, 12, 10, 10, 10, 12, 10, 10, 8, 8, 8, 8, 4, 4, 5, 7, 7, 7, 6, 6, 7, 7, 7, 5, 5, 5, 10, 9, 10, 9, 10, 9, 9, 9, 4, 4, 7, 8, 6, 6, 9, 8, 9, 9, 8, 9, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 7, 9, 8, 8, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 10, 11, 11, 11, 9, 10, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 10, 11, 11, 11, 9, 10, 8, 9, 7, 8, 8, 8, 7, 10, 9, 10, 10, 10, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 8, 7, 7, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 10, 10, 9, 7, 7, 8, 9, 9, 9, 7, 7, 4, 4, 5, 11, 12, 10, 11, 11, 11, 10, 12, 11, 12, 12, 12, 10, 10, 11, 13, 13, 15, 14, 15, 13, 10, 12, 12, 11, 13, 12, 13, 13, 13, 10, 10, 10, 12, 11, 13, 12, 13, 10, 10, 12, 12, 11, 12, 12, 12, 10, 10, 10, 12, 12, 11, 12, 12, 12, 10, 10, 10, 12, 12, 11, 13, 12, 13, 13, 13, 10, 10, 10, 11, 13, 13 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 1, 2, 2, 7, 7, 0, 0, 8, 8, 0, 9, 9, 0, 10, 10, 1, 2, 10, 10, 0, 0, 11, 11, 0, 0, 1, 2, 1, 4, 11, 11, 0, 0, 12, 12, 0, 1, 2, 2, 1, 4, 12, 12, 0, 0, 0, 0, 0, 0, 13, 13, 0, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 14, 14, 1, 1, 2, 1, 1, 2, 14, 14, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 13, 1, 2, 2, 15, 2, 2, 2, 1, 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, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 0, 1, 0, 1, 2, 1, 1, 0, 0, 5, 0, 2, 2, 2, 2, 1, 1, 1, 0, 7, 0, 2, 2, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 1, 0, 0, 13, 0, 2, 2, 2, 2, 1, 1, 1, 15, 0, 1 ]
[ 823, 17292, 924, 26, 984, 711, 203, 823, 17768, 924, 26, 9505, 924, 711, 284, 665, 1048, 81, 17516, 26, 784, 711, 291, 3636, 26405, 463, 1337, 7586, 683, 203, 823, 11074, 9259, 924, 26, 9505, 924, 711, 203, 823, 8073, 1104, 924, 26, 19349, 924, 711, 203, 823, 8073, 9259, 924, 26, 8418, 9259, 924, 711, 203, 823, 5393, 27981, 26, 9505, 924, 711, 203, 823, 4226, 924, 26, 9505, 924, 711, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 0, 1, 1, 2, 2, 3, 3, 2, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 3, 3, 1, 1, 2, 1, 1, 2, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 0, 5, 5, 1, 2, 1, 1, 2, 0, 6, 6, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 30, 5741, 30, 2322, 30, 2322, 32, 983, 30, 1133, 203, 81, 4804, 81, 11271, 81, 9302, 280, 6611, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 17197, 25, 203, 81, 4804, 81, 30744, 81, 9302, 280, 6611, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 904, 76, 25, 203, 589, 2179, 81, 1003, 26, 5561, 711, 284, 442, 1133, 32, 20834, 2176, 4804, 81, 11271, 81, 9302, 30, 1133, 32, 13945, 1003, 26, 5561, 490, 203, 589, 3185, 81, 1003, 26, 1003, 81, 800, 711, 284, 442, 308, 1003, 32, 4765, 1003, 26, 1003, 32, 44832, 26, 1003, 81, 800, 30, 617, 4804, 81, 30744, 81, 9302, 490, 429, 1133, 32, 18218, 27, 203, 589, 438, 81, 7224, 81, 2808, 81, 983, 26, 983, 711, 284, 415, 1519, 77, 34, 79, 610, 3056, 950, 291, 442, 3177, 284, 1519, 280, 2322, 32, 983, 32, 2524, 19468, 1519, 27, 284, 442, 1519, 610, 2322, 32, 983, 32, 21379, 26, 983, 27, 203, 589, 12780, 81, 761, 26, 761, 81, 983, 711, 284, 415, 2322, 32, 983, 32, 1909, 3045, 26, 761, 81, 983, 711, 291, 595, 280, 225, 34, 291, 2218, 2933, 44, 324, 595, 1454, 225, 35, 324, 323, 774, 81, 983, 280, 6611, 101, 32, 30386, 23, 91, 25, 904, 308, 761, 81, 983, 30, 595, 27, 324, 415, 646, 2322, 32, 983, 32, 1909, 3045, 26, 30386, 81, 983, 711, 400, 2322, 32, 13141, 26, 761, 81, 983, 30, 323, 774, 81, 983, 27, 400, 442, 323, 774, 81, 983, 203, 589, 1133, 81, 2679, 81, 272, 3967, 26, 102, 34, 30, 273, 35, 30, 438, 81, 1617, 47, 2700, 711, 284, 415, 438, 81, 1617, 44, 291, 442, 429, 35, 34, 2511, 1833, 102, 34, 429, 273, 35, 27, 429, 7818, 1162, 102, 34, 429, 273, 35, 27, 517, 225, 37, 40, 34, 34, 32, 34, 27, 319, 225, 37, 40, 34, 34, 27, 2511, 225, 35, 34, 284, 813, 44, 291, 442, 429, 35, 34, 2511, 308, 102, 34, 429, 273, 35, 27, 2511, 225, 35, 34, 203, 823, 1283, 325, 2597, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1561, 81, 1515, 81, 983, 30, 3466, 81, 1515, 81, 983, 30, 38406, 789, 81, 7568, 47, 34, 711, 291, 630, 32, 1617, 81, 1515, 81, 983, 280, 1561, 81, 1515, 81, 983, 291, 630, 32, 3316, 81, 1515, 81, 983, 280, 3466, 81, 1515, 81, 983, 291, 630, 32, 33435, 789, 81, 7568, 280, 38406, 789, 81, 7568, 291, 630, 1114, 41860, 81, 8119, 81, 2135, 81, 2853, 280, 225, 34, 291, 1459, 330, 7067, 2783, 2952, 3320, 34196, 291, 630, 32, 605, 280, 630, 1114, 944, 346, 284, 665, 617, 944, 26, 784, 711, 291, 538, 325, 81, 2613, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 1617, 81, 1515, 81, 983, 30, 330, 327, 325, 81, 2613, 32, 1260, 683, 291, 415, 2322, 32, 983, 32, 1909, 3045, 26, 327, 325, 81, 2613, 81, 983, 711, 324, 1201, 646, 2322, 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, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 6, 6, 6, 6, 6, 5, 5, 7, 8, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 8, 7, 8, 8, 7, 10, 9, 10, 9, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 9, 5, 5, 6, 7, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 4, 4, 6, 3, 3, 5, 2, 2, 4, 4, 7, 8, 6, 7, 6, 6, 6, 2, 2, 3, 4, 4, 7, 8, 6, 7, 6, 7, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 6, 7, 5, 6, 6, 5, 6, 6, 6, 5, 3, 3, 6, 6, 7, 4, 4, 5, 5, 5, 5, 8, 8, 9, 6, 6, 9, 9, 9, 8, 8, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 10, 10, 10, 6, 6, 7, 8, 11, 12, 10, 11, 11, 10, 11, 11, 11, 10, 7, 7, 11, 12, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 8, 8, 9, 10, 10, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 8, 8, 6, 6, 11, 11, 10, 10, 11, 9, 8, 8, 11, 15, 15, 14, 14, 15, 13, 12, 12, 13, 13, 13, 13, 13, 13, 11, 9, 9, 10, 10, 10, 10, 7, 6, 6, 7, 7, 3, 3, 4, 4, 4, 6, 9, 9, 7, 7, 10, 10, 9, 9, 10, 8, 7, 7, 8, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 5, 7, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 7, 5, 5, 7, 8, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 7, 2, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 2, 2, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 6, 6, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 3, 3, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 3, 3, 1, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 0, 0, 5, 2, 2, 7, 7, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 4, 4, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 0, 0, 0, 7, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0 ]
[ 823, 20671, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1311, 280, 1665, 291, 630, 32, 32854, 81, 878, 280, 1044, 1010, 291, 630, 32, 2859, 81, 2310, 280, 1044, 1010, 291, 630, 32, 2859, 81, 1581, 280, 1044, 1010, 291, 630, 32, 2859, 81, 19156, 280, 1044, 1010, 291, 630, 32, 2859, 81, 7255, 280, 1044, 1010, 291, 630, 32, 21935, 81, 1204, 280, 1044, 1010, 291, 630, 32, 4116, 280, 1044, 1010, 291, 630, 32, 1393, 81, 1251, 280, 1665, 291, 630, 32, 1393, 81, 893, 280, 1665, 291, 630, 32, 3963, 280, 739, 346, 291, 630, 32, 22195, 280, 1605, 291, 630, 32, 3220, 81, 965, 280, 1044, 1010, 291, 630, 32, 1204, 81, 2888, 280, 3330, 291, 630, 32, 1294, 81, 916, 280, 1044, 1010, 291, 630, 32, 1427, 280, 1665, 291, 630, 32, 1294, 81, 1427, 280, 1665, 291, 630, 32, 7211, 81, 770, 280, 1665, 291, 630, 32, 12187, 81, 605, 280, 2149, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 29832, 372, 2608, 40034, 48558, 28964, 436, 4942, 203, 5138, 1991, 667, 461, 1411, 3693, 8352, 9592, 203, 465, 5237, 203, 589, 3693, 1643, 26, 1427, 800, 30, 3693, 2665, 47, 2521, 711, 284, 5881, 17837, 312, 667, 48558, 645, 4886, 328, 9473, 284, 29087, 322, 10525, 432, 322, 17816, 7730, 284, 8350, 284, 13510, 284, 48558, 499, 802, 291, 48558, 645, 667, 30, 19708, 623, 5436, 17948, 5852, 284, 3693, 2665, 499, 5436, 291, 9473, 623, 5036, 688, 2530, 322, 5436, 17948, 5852, 291, 461, 2078, 688, 884, 48558, 28964, 372, 526, 17816, 32, 225, 886, 291, 33166, 432, 322, 17816, 3693, 8352, 438, 739, 372, 2530, 322, 291, 9340, 33166, 432, 322, 4102, 1427, 800, 572, 810, 7165, 458, 291, 33166, 372, 1169, 5430, 432, 322, 17816, 802, 30, 2940, 322, 291, 1932, 284, 3759, 284, 14761, 284, 963, 800, 499, 802, 291, 802, 623, 8843, 4102, 1427, 2665, 572, 5852, 17816, 284, 15950, 284, 24618, 284, 8217, 3693, 1643, 463, 2108, 802, 623, 18147, 853, 27, 101, 370, 5053, 853, 11501, 41721, 786, 18143, 284, 330, 2108, 802, 623, 17816, 786, 25, 284, 8217, 48558, 280, 330, 3472, 1628, 1736, 96, 264, 15086, 1628, 1736, 96, 264, 18147, 853, 27, 101, 25, 284, 8217, 17816, 81, 800, 280, 313, 9378, 318, 1736, 96, 800, 20, 284, 8217, 3693, 2665, 280, 5053, 853, 950, 17816, 81, 800, 111, 284, 8217, 3693, 1643, 26, 1427, 800, 30, 3693, 2665, 27, 284, 330, 3472, 1628, 1736, 96, 264, 15086, 1628, 1736, 96, 264, 10525, 318, 1736, 96, 264, 802, 25, 284, 5881, 284, 415, 646, 48558, 44, 291, 442, 48558, 284, 415, 3693, 2665, 438, 1665, 44, 291, 3693, 2665, 280, 2149, 284, 415, 646, 3693, 2665, 44, 291, 442, 48558, 284, 5430, 280, 48558, 32, 8931, 10487, 922, 2998, 4446, 346, 284, 415, 2069, 26, 4446, 27, 333, 225, 36, 44, 291, 12898, 1047, 280, 225, 34, 284, 813, 44, 291, 12898, 1047, 280, 10525, 998, 81, 4446, 26, 4446, 77, 35, 19572, 284, 10525, 280, 330, 330, 319, 12898, 1047, 284, 10525, 318, 280, 2149, 284, 436, 636, 30, 343, 466, 328, 3693, 2665, 32, 3028, 2262, 291, 5430, 280, 343, 466, 32, 8931, 10487, 922, 2998, 4446, 346, 291, 1596, 44, 324, 537, 4446, 280, 428, 4446, 77, 34, 3212, 324, 436, 1628, 328, 5430, 77, 35, 44, 2786, 400, 537, 4446, 32, 1689, 26, 9378, 29, 928, 27, 324, 10525, 318, 77, 426, 79, 280, 3228, 96, 2473, 2524, 26, 890, 4446, 27, 291, 2940, 44121, 44, 324, 10525, 318, 77, 426, 79, 280, 343, 466, 284, 442, 48558, 904, 10525, 318, 203, 589, 10525, 998, 81, 4446, 26, 4446, 711, 284, 5881, 7507, 378, 378, 10525, 436, 1169, 5430, 328, 1628, 1149, 284, 8217, 5430, 280, 2107, 1591, 370, 330, 225, 3134, 370, 330, 261, 8019, 785, 284, 8217, 10525, 998, 81, 4446, 26, 4446, 27, 275, 35, 284, 8217, 5430, 280, 1605, 284, 8217, 10525, 998, 81, 4446, 26, 4446, 27, 275, 34, 284, 8217, 5430, 280, 2107, 1591, 785, 284, 8217, 10525, 998, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 3, 3, 3, 5, 2, 2, 3, 5, 4, 4, 3, 3, 3, 7, 6, 6, 2, 2, 3, 4, 5, 3, 3, 3, 5, 2, 2, 4, 4, 8, 9, 9, 8, 7, 7, 6, 2, 2, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 7, 6, 6, 7, 3, 3, 4, 4, 4, 8, 7, 7, 9, 9, 9, 9, 11, 10, 12, 11, 2, 2, 4, 4, 7, 5, 5, 6, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 3, 3, 6, 5, 6, 5, 3, 3, 6, 6, 11, 10, 11, 11, 10, 9, 9, 8, 4, 4, 5, 5, 5, 9, 8, 8, 11, 10, 11, 10, 6, 6, 7, 7, 7, 8, 10, 9, 8, 7, 7, 12, 11, 12, 11, 13, 12, 13, 11, 6, 6, 10, 9, 10, 9, 8, 8, 13, 12, 11, 10, 11, 11, 10, 5, 5, 6, 6, 6, 6, 11, 10, 11, 10, 9, 9, 10, 2, 2, 3, 4, 4, 5, 0, 1, 1, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 1, 1, 4, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 4, 4, 3, 1, 1, 3, 3, 3, 0, 4, 4, 0, 0, 0, 2, 2, 1, 2, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 2, 5, 5, 5, 0, 0, 0, 2, 5, 5, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 4, 4, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 4, 4, 8, 1, 1, 2, 8, 8, 0, 0, 2, 1, 8, 8, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 5, 5, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 3, 0, 2, 3, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 0, 2, 0, 0, 0, 2, 4, 4, 9, 1, 1, 2, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 14785, 619, 5239, 203, 1070, 4377, 4213, 2304, 1188, 5063, 81, 426, 203, 1070, 2417, 1262, 32, 4073, 1188, 622, 81, 4073, 203, 1070, 2417, 1262, 32, 2304, 32, 2872, 1188, 3270, 11945, 203, 4073, 280, 622, 81, 4073, 4064, 761, 8223, 203, 505, 464, 505, 280, 428, 284, 330, 10845, 11697, 1761, 370, 330, 558, 10332, 10845, 11697, 1761, 370, 330, 4455, 10845, 11697, 1761, 370, 284, 330, 20903, 5580, 24196, 370, 330, 7583, 13774, 395, 370, 284, 330, 10845, 10405, 370, 330, 4455, 10845, 10405, 370, 330, 4455, 10845, 10405, 1083, 19853, 14373, 25, 203, 79, 203, 823, 17226, 11697, 1761, 26, 1473, 711, 284, 665, 1156, 1851, 3207, 784, 30, 8056, 101, 81, 363, 81, 6862, 711, 291, 8056, 101, 81, 363, 81, 6862, 280, 630, 1114, 1409, 81, 38674, 26, 4943, 101, 81, 363, 81, 6862, 27, 291, 442, 8056, 101, 81, 363, 81, 6862, 284, 665, 617, 1409, 81, 38674, 26, 784, 30, 8056, 81, 363, 81, 6862, 711, 291, 3636, 22210, 346, 203, 823, 3270, 10332, 10845, 11697, 1761, 26, 10845, 11697, 1761, 711, 284, 665, 1156, 1664, 3207, 784, 30, 7019, 47, 2521, 711, 291, 630, 1114, 16937, 280, 3270, 11945, 26, 7004, 27, 284, 477, 2433, 284, 665, 20638, 26, 784, 711, 291, 442, 630, 1114, 16937, 284, 665, 617, 1409, 81, 38674, 26, 784, 30, 8056, 81, 363, 81, 6862, 711, 291, 630, 1114, 16937, 32, 2409, 346, 291, 736, 280, 1605, 291, 436, 485, 30, 354, 328, 8056, 81, 363, 81, 6862, 44, 324, 636, 280, 5063, 81, 426, 26, 104, 27, 324, 5750, 81, 104, 280, 630, 1114, 16937, 32, 2872, 26, 426, 27, 324, 415, 485, 438, 646, 1665, 44, 400, 415, 5750, 81, 104, 438, 646, 1665, 44, 528, 485, 280, 630, 1114, 520, 26, 89, 30, 354, 30, 5750, 81, 104, 27, 400, 736, 32, 1689, 1162, 89, 30, 354, 490, 291, 14995, 30, 15649, 280, 630, 1114, 16937, 32, 416, 346, 291, 415, 2069, 26, 16317, 27, 848, 225, 34, 44, 324, 1245, 81, 12617, 280, 2107, 78, 102, 539, 2149, 436, 2149, 308, 2872, 44, 12797, 2473, 1643, 26, 104, 30, 831, 30, 298, 27, 436, 831, 30, 298, 30, 354, 328, 14995, 79, 324, 1245, 81, 12617, 32, 3215, 26, 34, 30, 330, 1335, 8056, 11401, 436, 2149, 44, 2473, 1643, 26, 784, 3667, 823, 29215, 426, 28154, 324, 4082, 32, 1338, 9442, 96, 2473, 2524, 26, 751, 81, 12617, 490, 291, 415, 2069, 26, 12085, 27, 848, 225, 34, 44, 324, 1245, 81, 2076, 280, 330, 1335, 8056, 11401, 436, 2149, 44, 15649, 15103, 884, 2149, 25484, 1643, 26, 784, 3667, 823, 29215, 426, 7642, 15649, 27, 324, 4082, 32, 8447, 26, 751, 81, 2076, 27, 291, 442, 736, 284, 665, 617, 520, 26, 784, 30, 8056, 30, 773, 30, 5750, 711, 291, 3636, 22210, 346, 203, 823, 6564, 10845, 11697, 1761, 26, 10845, 11697, 1761, 711, 284, 665, 617, 1409, 81, 38674, 26, 784, 30, 8056, 81, 363, 81, 6862, 711, 291, 736, 280, 1605, 291, 436, 485, 30, 354, 328, 8056 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 3, 4, 1, 1, 3, 0, 3, 2, 2, 4, 4, 4, 5, 5, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 5, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 8, 8, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 8, 9, 7, 8, 7, 4, 4, 6, 6, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 8, 8, 10, 10, 10, 11, 10, 6, 6, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 6, 6, 7, 8, 8, 8, 7, 7, 7, 9, 11, 11, 10, 10, 10, 9, 9, 9, 12, 12, 14, 15, 14, 15, 14, 14, 14, 14, 15, 15, 14, 8, 8, 11, 12, 11, 13, 12, 12, 12, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 9, 9, 8, 8, 14, 14, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 11, 11, 11, 11, 11, 9, 10, 11, 11, 11, 11, 10, 10, 9, 6, 6, 10, 10, 9, 10, 9, 10, 9, 9, 13, 13, 13, 13, 13, 13, 13, 12, 11, 14, 13, 14, 14, 13, 13, 6, 6, 9, 10, 9, 14, 13, 12, 11, 12, 12, 12, 11, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 9, 9, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 13, 12, 13, 13, 12, 12, 10, 10, 6, 6, 9, 10, 9, 10, 10, 10, 9, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 7, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 5, 5 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 0, 2, 0, 2, 1, 4, 4, 0, 0, 4, 4, 2, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 5, 5, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 3, 3, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 2, 5, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 4, 4, 6, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 1, 0, 8, 8, 1, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 36387, 203, 465, 36387, 37, 203, 465, 13092, 203, 465, 3654, 261, 203, 1070, 36387, 32, 3893, 1188, 13486, 36, 46794, 203, 1070, 345, 2618, 1188, 4395, 81, 735, 36, 30, 4395, 81, 735, 36, 81, 15040, 203, 50, 3613, 81, 735, 36, 81, 15040, 203, 589, 894, 81, 1297, 81, 27369, 81, 16717, 2262, 284, 4567, 280, 36387, 32, 3517, 81, 27078, 440, 1382, 81, 678, 392, 313, 1382, 81, 7241, 657, 284, 354, 7547, 81, 3841, 280, 4567, 32, 1297, 81, 27369, 81, 3841, 26, 291, 313, 639, 4215, 32, 35, 392, 313, 8163, 105, 31, 34, 35, 36, 37, 34439, 392, 313, 12478, 105, 31, 34, 35, 36, 37, 34439, 20, 284, 829, 284, 354, 7547, 81, 3841, 32, 3163, 81, 1206, 32, 864, 32, 4108, 284, 354, 7547, 81, 3841, 32, 314, 32, 3163, 32, 2872, 26, 100, 20, 27369, 15641, 105, 36998, 284, 354, 7547, 81, 3841, 32, 681, 32, 3163, 32, 2228, 440, 639, 4215, 32, 35, 657, 203, 50, 3613, 81, 735, 36, 81, 15040, 203, 589, 894, 81, 2560, 81, 27369, 81, 16717, 2262, 284, 4567, 280, 36387, 32, 3517, 81, 27078, 440, 1382, 81, 678, 392, 313, 1382, 81, 7241, 657, 284, 354, 7547, 81, 3841, 280, 4567, 32, 1297, 81, 27369, 81, 3841, 26, 291, 313, 639, 4215, 32, 35, 392, 313, 8163, 105, 31, 34, 35, 36, 37, 34439, 392, 313, 12478, 105, 31, 34, 35, 36, 37, 34439, 20, 284, 829, 284, 1149, 81, 1028, 81, 27369, 81, 16717, 280, 4567, 32, 371, 81, 464, 81, 27369, 81, 16717, 346, 284, 1149, 81, 1028, 81, 27369, 81, 16717, 32, 3163, 32, 8791, 32, 1322, 81, 1028, 26, 35, 27, 284, 4567, 32, 2560, 81, 27369, 81, 3841, 26, 27369, 81, 3841, 32, 314, 27, 284, 1149, 81, 1028, 81, 27369, 81, 16717, 280, 4567, 32, 371, 81, 464, 81, 27369, 81, 16717, 346, 284, 1149, 81, 1028, 81, 27369, 81, 16717, 32, 3163, 32, 8791, 32, 1322, 81, 1028, 26, 34, 27, 203, 50, 3613, 81, 735, 36, 81, 15040, 203, 589, 894, 81, 2560, 81, 27369, 81, 16717, 81, 3371, 81, 314, 2262, 284, 4567, 280, 36387, 32, 3517, 81, 27078, 440, 1382, 81, 678, 392, 313, 1382, 81, 7241, 657, 284, 623, 13092, 32, 16708, 26, 6142, 36, 46794, 711, 291, 4567, 32, 2560, 81, 27369, 81, 3841, 440, 27369, 31, 34, 35, 36, 37, 34439, 657, 203, 50, 3613, 81, 735, 36, 81, 15040, 203, 589, 894, 81, 7628, 81, 27369, 81, 16717, 2262, 284, 4567, 280, 36387, 32, 3517, 81, 27078, 440, 1382, 81, 678, 392, 313, 1382, 81, 7241, 657, 284, 1149, 81, 1028, 81, 27369, 81, 16717, 280, 4567, 32, 371, 81, 464, 81, 27369, 81, 16717, 346, 284, 1149, 81, 1028, 81, 27369, 81, 16717, 32, 3163, 32, 8791, 32, 1322, 81, 1028, 26, 34, 27, 284, 4567, 32, 1297, 81, 27369, 81, 3841, 440, 639, 4215, 32, 35, 392, 313, 8163, 105, 31, 34, 35, 36, 37, 34439, 392, 313, 12478, 105 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 2, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 3, 3, 6, 6, 6, 5, 5, 7, 8, 8, 8, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 3, 3, 8, 8, 8, 7, 8, 8, 8, 6, 7, 5, 6, 3, 3, 9, 9, 9, 8, 9, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 3, 3, 9, 9, 9, 8, 9, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 0, 2, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 3, 3, 6, 6, 6, 5, 5, 7, 8, 8, 8, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 3, 3, 6, 6, 6, 6, 6, 6, 5, 5, 7, 8, 8, 8, 8, 8, 8, 8, 7, 3, 3, 9, 9, 9, 9, 9, 9, 8, 9, 7, 8, 6, 7, 7, 7, 6, 7, 6, 3, 3, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 7, 8, 6, 3, 3, 6, 6, 6, 6, 6, 6, 5, 5, 7, 8, 8, 8, 8, 8, 8, 8, 7, 3, 3, 9, 9, 9, 9, 9, 9, 8, 9, 7, 8, 6, 7, 7, 7, 6, 7, 6, 0, 2, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 3, 3, 4, 8, 9, 8, 9, 9, 9, 8, 4, 4, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 0, 2, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 3, 3, 6, 6, 6, 6, 6, 6, 5, 5, 7, 8, 8, 8, 8, 8, 8, 8, 7, 3, 3, 9, 9, 9, 9, 9, 9, 8, 9, 7, 8, 6, 7, 7, 7, 6, 7, 6, 3, 3, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1505, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3498, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 32, 39447, 1188, 7433, 619, 28404, 203, 1070, 14785, 32, 2958, 32, 4156, 32, 39447, 1188, 4527, 619, 7433, 81, 1040, 203, 505, 464, 505, 280, 3037, 17114, 1191, 16218, 1446, 203, 589, 617, 751, 1036, 81, 2832, 7380, 81, 15150, 81, 327, 1069, 26936, 26, 7380, 30, 5532, 711, 334, 623, 13714, 32, 426, 81, 3473, 440, 751, 1036, 81, 2832, 7380, 81, 15150, 81, 327, 1069, 26936, 392, 2078, 6020, 4884, 30, 6524, 10794, 284, 442, 7744, 81, 4156, 32, 751, 26, 35, 32, 429, 7744, 81, 4156, 32, 2832, 26, 4884, 429, 6524, 490, 474, 6524, 203, 81, 7151, 81, 1439, 81, 5766, 280, 1524, 203, 1562, 9844, 7515, 529, 107, 1801, 203, 914, 203, 66, 77, 75, 280, 533, 79, 1025, 447, 77, 74, 2511, 7461, 614, 225, 415, 533, 610, 7461, 30, 276, 1025, 447, 77, 74, 848, 3857, 429, 225, 35, 614, 225, 533, 610, 3857, 30, 276, 1025, 225, 34, 30, 415, 594, 333, 7461, 556, 533, 848, 3857, 30, 276, 1025, 447, 77, 107, 429, 225, 35, 333, 1593, 2511, 533, 614, 225, 1169, 1604, 533, 32, 203, 914, 203, 2993, 203, 81, 7151, 81, 5766, 280, 617, 7151, 81, 1439, 81, 5766, 474, 1524, 203, 1318, 1695, 7433, 1182, 529, 21195, 82, 1411, 2298, 526, 3417, 544, 529, 107, 429, 225, 35, 2541, 1670, 322, 203, 1439, 7433, 1401, 312, 529, 43822, 18181, 81, 1126, 82, 1411, 30, 3276, 1098, 526, 1829, 203, 14446, 332, 436, 7622, 2078, 432, 529, 107, 1801, 461, 328, 458, 1135, 322, 529, 43822, 18181, 81, 1126, 82, 2298, 203, 12227, 526, 3417, 544, 529, 107, 429, 225, 35, 2541, 203, 2993, 203, 81, 751, 81, 7151, 81, 5766, 280, 617, 7151, 81, 1439, 81, 5766, 474, 1524, 203, 1318, 1695, 7433, 1182, 529, 751, 81, 21195, 82, 1411, 2298, 526, 3417, 544, 529, 107, 429, 225, 35, 2541, 1670, 322, 203, 1439, 7433, 1401, 312, 529, 751, 81, 43822, 18181, 81, 1126, 82, 1411, 3276, 1098, 526, 1829, 203, 14446, 332, 436, 7622, 2078, 432, 529, 107, 1801, 461, 328, 458, 1135, 322, 529, 751, 81, 43822, 18181, 81, 1126, 82, 203, 12172, 2329, 526, 3417, 544, 529, 107, 429, 225, 35, 2541, 203, 2993, 203, 81, 21195, 81, 1439, 81, 5766, 280, 1524, 203, 1562, 9844, 7515, 529, 107, 1801, 203, 914, 203, 21195, 26, 107, 27, 1025, 447, 77, 75, 2511, 533, 79, 291, 280, 225, 35, 30, 415, 533, 2377, 3857, 30, 291, 280, 225, 34, 30, 415, 533, 333, 7461, 30, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 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, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 10, 9, 9, 9, 3, 3, 5, 9, 9, 8, 9, 8, 10, 10, 9, 9, 12, 12, 11, 12, 11, 13, 12, 12, 11, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 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, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 3, 3, 0, 10, 10, 1, 2, 1, 4, 1, 6, 10, 10, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 12, 12, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 1133, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 203, 1070, 3089, 749, 98, 32, 3734, 1188, 3639, 81, 21039, 105, 203, 823, 15507, 81, 9849, 81, 10401, 81, 3734, 26, 3734, 81, 21039, 105, 32, 100, 696, 81, 2208, 711, 284, 665, 739, 81, 1819, 26, 784, 30, 4684, 30, 706, 30, 9668, 30, 3639, 81, 681, 47, 2521, 711, 291, 5564, 280, 630, 32, 2446, 291, 5564, 32, 4526, 463, 4620, 309, 32, 426, 619, 309, 81, 426, 30, 309, 32, 770, 2469, 309, 81, 770, 30, 594, 32, 687, 619, 594, 81, 687, 30, 309, 32, 10401, 81, 416, 81, 4543, 619, 309, 81, 10401, 330, 766, 715, 330, 9067, 3497, 81, 8914, 81, 9849, 309, 330, 766, 715, 330, 27025, 13039, 3497, 81, 14431, 594, 544, 309, 32, 14431, 81, 314, 280, 594, 32, 314, 330, 766, 715, 330, 27025, 13039, 330, 766, 1014, 15584, 4620, 16366, 81, 314, 30, 1769, 26, 770, 27, 619, 1769, 81, 770, 3753, 3497, 81, 8914, 81, 9849, 330, 766, 1378, 330, 9779, 6936, 16366, 81, 314, 27, 343, 330, 766, 1378, 330, 567, 308, 101, 32, 14431, 81, 314, 280, 343, 32, 14431, 81, 314, 3114, 309, 32, 770, 280, 343, 32, 1449, 81, 770, 27, 330, 766, 715, 330, 9349, 6936, 594, 32, 687, 683, 291, 5430, 280, 5564, 32, 2665, 44569, 346, 291, 630, 32, 1696, 1819, 32, 1877, 26, 301, 324, 330, 4446, 950, 5430, 30, 291, 1790, 291, 2599, 26, 8914, 81, 9849, 81, 10401, 81, 3734, 30, 630, 547, 470, 81, 1819, 26, 5740, 30, 706, 30, 9668, 30, 3639, 81, 681, 47, 3734, 81, 681, 27, 284, 665, 1156, 1664, 3207, 784, 30, 5564, 30, 12373, 30, 636, 30, 1619, 711, 291, 415, 1619, 438, 1665, 44, 324, 1619, 280, 2149, 291, 2599, 26, 8914, 81, 9849, 81, 10401, 81, 3734, 30, 630, 14585, 1664, 3207, 2446, 30, 12373, 30, 636, 30, 1619, 47, 1819, 27, 291, 630, 32, 1696, 1819, 32, 1877, 26, 301, 324, 330, 1003, 950, 1133, 30, 291, 1790, 291, 630, 32, 1819, 280, 1619, 203, 823, 3639, 81, 8914, 9849, 10401, 26, 500, 104, 32, 5584, 1243, 711, 284, 617, 426, 280, 330, 3734, 32, 3524, 81, 8914, 81, 9849, 81, 9081, 32, 3734, 81, 8914, 9849, 10401, 25, 284, 617, 6815, 280, 330, 3734, 32, 9436, 81, 3734, 25, 284, 617, 2387, 280, 330, 3524, 81, 8914, 81, 9849, 81, 9081, 32, 3734, 81, 8914, 9849, 10401, 25, 284, 617, 21111, 81, 3734, 81, 823, 280, 15507, 81, 9849, 81, 10401, 81, 3734, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 6, 6, 7, 8, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 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, 8, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 7, 8, 8, 11, 11, 9, 8, 8, 8, 4, 4, 9, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 8, 7, 7, 7, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 9, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 9, 7, 4, 4, 8, 9, 9, 7, 8, 7, 7, 8, 8, 11, 11, 9, 8, 8, 8, 4, 4, 7, 8, 6, 6, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 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, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 9, 2, 2, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 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 ]
[ 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 30, 11123, 30, 7051, 203, 1070, 8527, 81, 1813, 1188, 1346, 81, 1160, 203, 589, 1346, 81, 496, 26, 2895, 47, 2521, 30, 4227, 33792, 8351, 33792, 1115, 5321, 711, 284, 438, 81, 2480, 280, 10306, 32, 3235, 463, 297, 81, 2480, 370, 2933, 27, 284, 438, 81, 39744, 280, 10306, 32, 3235, 463, 297, 81, 39744, 370, 3177, 27, 284, 438, 81, 15989, 280, 10306, 32, 3235, 463, 297, 81, 15989, 370, 3177, 27, 284, 1256, 280, 1346, 81, 1160, 26, 1240, 30, 438, 81, 2480, 280, 438, 81, 2480, 30, 438, 81, 39744, 280, 438, 81, 39744, 30, 3486, 438, 81, 15989, 280, 438, 81, 15989, 30, 1115, 5321, 27, 284, 436, 2350, 81, 426, 328, 8351, 499, 291, 2350, 280, 7051, 32, 5740, 32, 371, 26, 426, 47, 1363, 81, 426, 27, 291, 1256, 32, 6332, 32, 669, 26, 1363, 27, 284, 436, 6501, 81, 426, 328, 4227, 44, 291, 1123, 81, 1172, 30, 7053, 2004, 280, 6501, 81, 426, 32, 2998, 36909, 291, 6501, 280, 11123, 32, 5740, 32, 371, 26, 324, 1795, 81, 681, 505, 725, 81, 1172, 47, 725, 81, 1172, 30, 324, 7053, 2004, 47, 10762, 2004, 27, 291, 1256, 32, 496, 81, 11893, 32, 669, 26, 9198, 27, 284, 415, 3882, 44, 291, 1256, 32, 470, 81, 2895, 26, 2895, 27, 284, 1256, 32, 2853, 346, 284, 442, 1256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 2, 3, 2, 3, 2, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 6, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 8, 8, 7, 7, 8, 8, 6, 6, 8, 8, 7, 7, 8, 8, 6, 6, 6, 8, 8, 7, 7, 8, 8, 6, 6, 8, 6, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 8, 8, 7, 7, 8, 6, 6, 9, 9, 8, 9, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 9, 10, 10, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 3, 3, 3, 7, 8, 8, 8, 7, 8, 7, 2, 2, 5, 6, 5, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 3, 2, 5, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 3, 2, 2, 1, 1, 0, 0, 5, 5, 2, 2, 1, 1, 1, 0, 0, 7, 7, 2, 2, 1, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 5, 5, 0, 2, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 5, 5, 5, 5, 5, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 3, 2, 2, 1, 5, 5, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 6, 6, 6, 6, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 594, 17321, 36, 1188, 5166, 203, 1070, 594, 17321, 36, 32, 10514, 1188, 20313, 81, 7383, 81, 5203, 30, 766, 275, 20313, 81, 3285, 81, 5203, 30, 37761, 81, 7383, 81, 5203, 30, 37761, 81, 3285, 81, 5203, 30, 766, 275, 13550, 81, 7383, 81, 5203, 30, 13550, 81, 3285, 81, 5203, 30, 26543, 81, 6103, 3480, 81, 9857, 30, 766, 275, 26543, 81, 16884, 81, 9857, 30, 5223, 2331, 81, 45728, 30, 20818, 4780, 81, 31232, 30, 766, 275, 1224, 4153, 66, 81, 1310, 9627, 1392, 81, 11356, 4780, 30, 498, 45568, 81, 45728, 203, 1070, 594, 17321, 36, 32, 9236, 1188, 10572, 203, 1070, 594, 17321, 36, 32, 4689, 1188, 14314, 203, 1070, 594, 17321, 36, 32, 11452, 1188, 10838, 41586, 30, 10838, 40672, 203, 1070, 594, 17321, 36, 32, 2304, 1188, 1619, 1126, 30, 1188, 81, 800, 30, 7778, 417, 203, 1070, 594, 17321, 36, 1114, 8524, 1188, 2354, 30, 623, 81, 2559, 32095, 30, 802, 81, 2516, 30, 3850, 3028, 203, 2788, 6016, 81, 9842, 69, 280, 2726, 43487, 330, 33170, 370, 330, 96, 33170, 683, 203, 823, 15363, 5378, 26, 681, 711, 284, 665, 1156, 890, 3207, 6933, 30, 636, 30, 26394, 30, 343, 711, 291, 13675, 280, 827, 3667, 890, 3207, 6933, 30, 636, 30, 26394, 30, 343, 27, 291, 13675, 32, 7895, 280, 13675, 3667, 1647, 505, 474, 18491, 474, 13675, 3667, 426, 505, 291, 442, 13675, 203, 823, 15363, 26, 1793, 81, 2559, 32095, 26, 28006, 30, 1300, 8531, 284, 5911, 280, 739, 346, 284, 9958, 280, 225, 35, 34, 34, 284, 665, 1156, 1664, 3207, 784, 30, 4706, 711, 291, 630, 32, 9236, 280, 4706, 284, 665, 5111, 26, 784, 30, 4706, 711, 291, 13675, 280, 1300, 3667, 890, 3207, 784, 3667, 823, 8223, 291, 13675, 3667, 2665, 9818, 1877, 26, 784, 3667, 2665, 8223, 291, 13675, 32, 9236, 280, 4706, 291, 442, 13675, 284, 665, 28671, 26, 784, 30, 1914, 30, 636, 30, 4870, 47, 2521, 711, 291, 442, 1914, 284, 665, 2761, 81, 2238, 26, 784, 30, 3443, 711, 291, 442, 3443, 284, 665, 3185, 26, 784, 30, 4118, 711, 291, 3636, 22210, 346, 284, 665, 5601, 26, 784, 30, 636, 30, 39997, 47, 2521, 711, 291, 442, 5166, 32, 4814, 2212, 26, 784, 32, 7895, 30, 636, 30, 39997, 47, 12300, 27, 284, 665, 1476, 81, 1959, 26, 784, 30, 636, 30, 2181, 47, 2521, 30, 10306, 47, 2521, 30, 21818, 81, 1132, 47, 2521, 30, 528, 21818, 81, 5321, 47, 2521, 30, 39997, 47, 2521, 711, 291, 415, 2181, 438, 1665, 44, 324, 2181, 280, 1605, 291, 415, 10306, 438, 1665, 44, 324, 10306, 280, 1605, 291, 442, 5166, 32, 1853, 26, 784, 32, 2437, 26, 426, 30, 39997, 47, 12300, 471, 2181, 30, 10306, 30, 3775, 21818, 81, 1132, 30, 21818, 81, 5321, 30, 39997, 47, 12300, 27, 203, 50, 1819, 1126, 203, 589, 617, 33170, 81, 7909, 4064, 1819, 30, 319, 1132, 30, 1115, 5321, 711, 284, 442, 1156, 1819, 32, 1851, 4064, 1819, 32, 5284, 463, 33170, 1425, 319, 1132, 30, 1115, 5321, 27, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 3, 5, 5, 3, 5, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 9, 10, 10, 8, 8, 7, 7, 8, 9, 9, 4, 4, 5, 0, 1, 1, 2, 4, 4, 4, 4, 4, 5, 4, 4, 4, 1, 1, 4, 4, 6, 2, 2, 4, 4, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 10, 9, 10, 10, 4, 4, 8, 9, 9, 8, 7, 9, 8, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 8, 8, 7, 9, 8, 9, 7, 7, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 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, 4, 4, 5, 7, 8, 7, 10, 9, 10, 9, 10, 9, 9, 10, 11, 9, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 9, 7, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 3, 4, 3, 3, 5, 3, 3, 5, 3, 2, 2, 4, 7, 6, 7, 6, 9, 8, 9, 8, 10, 10, 6, 8, 6, 6, 8, 6, 0 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 5, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 12, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 19, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 26, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 2, 0, 9, 9, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 9, 9, 0, 0, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 0, 1, 2, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 3, 4, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 4, 4, 0, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 4, 4, 6, 2, 1, 2, 2, 2, 6, 6, 0, 1, 4, 4, 7, 2, 1, 2, 2, 2, 2, 5, 2, 2, 7, 7, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 5, 2, 1, 4, 4, 8, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 13, 2, 2, 8, 8, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 11, 2, 1, 0, 0, 1, 1, 10, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0 ]
[ 465, 31074, 203, 823, 35635, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 595, 30, 594, 711, 291, 630, 32, 91, 280, 595, 291, 630, 32, 92, 280, 594, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 42218, 474, 596, 26, 784, 32, 91, 27, 474, 3003, 313, 474, 596, 26, 784, 32, 92, 27, 474, 313, 12032, 203, 589, 2432, 81, 928, 26, 1055, 30, 1149, 711, 284, 436, 281, 328, 1149, 44, 291, 415, 281, 32, 91, 610, 1650, 44, 324, 442, 281, 203, 589, 2432, 81, 748, 26, 1055, 30, 1149, 711, 284, 436, 281, 328, 1149, 44, 291, 415, 281, 32, 92, 610, 1650, 44, 324, 442, 281, 203, 589, 3233, 81, 39674, 26, 1131, 711, 284, 15573, 81, 668, 280, 1605, 284, 436, 595, 328, 2155, 26, 34, 30, 2069, 26, 1131, 8531, 291, 436, 594, 328, 2155, 26, 34, 30, 2069, 26, 1131, 77, 91, 5259, 44, 324, 415, 308, 1131, 77, 91, 1674, 92, 79, 610, 6757, 10280, 400, 15573, 81, 668, 32, 1689, 26, 39674, 26, 91, 30, 594, 490, 284, 442, 15573, 81, 668, 203, 589, 4195, 81, 6587, 26, 21535, 364, 711, 284, 11906, 81, 106, 280, 225, 34, 284, 11906, 81, 107, 280, 225, 34, 284, 436, 281, 328, 2063, 502, 364, 44, 291, 11906, 81, 106, 280, 11906, 81, 106, 474, 281, 32, 91, 517, 225, 38, 32, 34, 291, 11906, 81, 107, 280, 11906, 81, 107, 474, 281, 32, 92, 517, 225, 38, 32, 34, 284, 12211, 280, 11366, 26, 21535, 364, 77, 34, 997, 91, 429, 11906, 81, 106, 27, 284, 13196, 280, 11366, 26, 21535, 364, 77, 34, 997, 92, 429, 11906, 81, 107, 27, 284, 436, 595, 328, 2155, 26, 35, 30, 2069, 26, 21535, 364, 8531, 291, 415, 11366, 26, 21535, 364, 77, 91, 997, 91, 429, 11906, 81, 106, 27, 863, 12211, 556, 11366, 26, 21535, 364, 77, 91, 997, 92, 429, 11906, 81, 107, 27, 863, 13196, 44, 324, 442, 3177, 284, 442, 2933, 203, 589, 1519, 26, 85, 35, 30, 281, 36, 30, 1509, 711, 284, 415, 281, 35, 32, 91, 610, 281, 36, 32, 91, 44, 291, 436, 594, 328, 2155, 26, 887, 26, 85, 35, 32, 92, 474, 225, 35, 30, 281, 36, 32, 92, 474, 225, 35, 471, 1769, 26, 85, 35, 32, 92, 30, 281, 36, 32, 92, 8531, 324, 415, 1509, 77, 85, 35, 32, 91, 1674, 92, 79, 863, 20869, 461, 1509, 77, 85, 35, 32, 91, 1674, 92, 79, 863, 6757, 563, 400, 442, 3177, 291, 442, 2933, 284, 4348, 281, 35, 32, 92, 610, 281, 36, 32, 92, 44, 291, 436, 595, 328, 2155, 26, 887, 26, 85, 35, 32, 91, 474, 225, 35, 30, 281, 36, 32, 91, 474, 225, 35, 471, 1769, 26, 85, 35, 32, 91, 30, 281, 36, 32, 91, 8531, 324, 415, 1509, 77, 91, 1674, 85, 35, 32, 92, 79, 863, 313, 17331, 461, 1509, 77, 91, 1674, 85, 35, 32, 92, 79, 863, 6757, 563, 400, 442, 3177, 291, 442, 2933, 203, 589, 6042 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 9, 11, 13, 12, 13, 11, 8, 8, 10, 7, 7, 9, 11, 10, 11, 9, 6, 6, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 5, 7, 8, 7, 3, 3, 5, 5, 5, 7, 8, 7, 7, 9, 11, 10, 11, 10, 5, 5, 5, 7, 12, 11, 12, 11, 11, 10, 9, 9, 11, 7, 7, 12, 12, 11, 12, 11, 13, 13, 14, 13, 13, 13, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 7, 7, 6, 6, 8, 8, 7, 7, 9, 10, 8, 8, 9, 9, 9, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 9, 10, 8, 8, 9, 9, 9, 2, 2, 4, 4, 6, 10, 10, 9, 10, 9, 9, 7, 7, 8, 8, 6, 2, 2, 4, 4, 6, 10, 10, 9, 10, 9, 9, 7, 7, 8, 8, 6, 2, 2, 3, 3, 3, 5, 6, 5, 5, 7, 8, 8, 7, 3, 3, 5, 9, 13, 13, 12, 13, 12, 12, 10, 10, 11, 11, 9, 7, 7, 6, 6, 9, 13, 13, 12, 13, 12, 12, 10, 10, 11, 11, 9, 7, 7, 5, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 1, 1, 3, 6, 5, 6, 4, 4, 6, 5, 6, 3, 3, 3, 5, 5, 5, 7, 9, 9, 12, 12, 11, 12, 10, 10, 11, 9, 9, 12, 11, 12, 10, 10, 11, 9, 7, 9, 11, 11, 10, 11, 9, 9, 11, 10, 11, 9, 5, 5, 7, 11, 13, 13, 12, 13, 11, 11, 10, 9, 9, 8, 8, 11, 13, 13, 12, 13, 11, 11, 10, 9, 9, 11, 7, 7, 9, 4, 4, 5, 3, 3, 4, 7, 6, 7, 5, 5, 7, 6, 7, 4, 4, 4, 6, 6, 6, 8, 10, 10, 13, 13, 12, 13, 11, 11, 12, 10, 10, 13, 12, 13, 11, 11, 12, 10, 8, 10, 12, 12, 11, 12, 10, 10, 12, 11, 12, 10, 6, 6, 8, 12, 13, 12, 13, 13, 12, 13, 11, 10, 10, 12, 9, 9, 12, 13, 12, 13, 13, 12, 13, 11, 10, 10, 12, 8, 8, 10, 5, 5, 6, 0, 1, 1 ]
[ 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 3, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 5, 5, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 2, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 4, 4, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 4, 4, 6, 0, 6, 6, 2, 1, 1, 2, 2, 3, 2, 2, 2, 6, 6, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 3, 3, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 3, 3, 1, 0, 0, 4, 0, 0, 2, 1, 1, 0, 2, 2, 4, 4, 4, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 3, 3, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 3, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 3, 3, 1, 0, 7, 7 ]
[ 1070, 309, 20244, 32, 39687, 1078, 4007, 1188, 632, 83, 1078, 4007, 203, 1070, 309, 20244, 32, 2201, 5004, 1188, 14249, 1151, 16837, 30, 14249, 1151, 6754, 30, 14249, 1151, 4976, 30, 14249, 1151, 11445, 30, 766, 334, 14249, 1151, 24460, 30, 14249, 1151, 2626, 6754, 203, 1070, 309, 20244, 32, 69, 639, 5870, 1188, 358, 639, 5870, 203, 1070, 309, 20244, 32, 69, 48407, 1188, 358, 48407, 203, 1070, 309, 20244, 32, 1043, 32, 4276, 1188, 20955, 14246, 16245, 203, 823, 632, 302, 1078, 41914, 26, 39687, 1078, 4007, 711, 284, 309, 426, 280, 330, 41914, 26, 71, 1099, 9905, 284, 665, 20530, 1151, 26, 784, 30, 1692, 711, 291, 415, 6937, 26, 1567, 30, 14249, 1151, 16837, 711, 324, 309, 687, 280, 1692, 32, 11576, 346, 324, 415, 309, 687, 610, 1665, 44, 400, 1340, 30, 5966, 30, 3361, 280, 308, 35, 42, 34, 30, 330, 16837, 299, 370, 1665, 27, 324, 813, 44, 400, 1340, 30, 5966, 30, 3361, 280, 309, 687, 400, 415, 1340, 610, 225, 35, 34, 34, 44, 528, 442, 1665, 400, 415, 3361, 863, 1665, 461, 630, 32, 3531, 32, 267, 81, 1696, 81, 41122, 81, 2342, 863, 1665, 461, 3361, 32, 23800, 81, 1877, 44, 528, 630, 32, 3531, 32, 267, 81, 1696, 81, 41122, 81, 2342, 26, 1548, 30, 9254, 816, 44, 630, 32, 3531, 32, 12084, 1151, 26, 1567, 490, 528, 442, 1665, 324, 630, 32, 3531, 32, 94, 3181, 66, 280, 3361, 324, 630, 32, 3531, 32, 2714, 71, 302, 1397, 26, 687, 30, 5966, 30, 3361, 27, 324, 415, 630, 32, 3531, 32, 1347, 81, 6654, 81, 7212, 863, 1665, 44, 400, 630, 32, 3531, 32, 1347, 81, 6654, 81, 7212, 32, 8151, 346, 400, 630, 32, 3531, 32, 1347, 81, 6654, 81, 7212, 280, 1665, 400, 415, 630, 32, 3531, 32, 24239, 81, 1003, 863, 1665, 44, 528, 630, 32, 3531, 32, 24239, 81, 7212, 280, 20955, 14246, 16245, 26, 784, 32, 3531, 32, 22171, 30, 630, 32, 3531, 32, 24239, 81, 29290, 27, 324, 415, 630, 32, 3531, 32, 98, 35, 2369, 81, 1421, 610, 1665, 44, 400, 630, 32, 3531, 32, 98, 35, 2369, 81, 1421, 280, 1692, 32, 100, 1003, 324, 442, 308, 71, 302, 1078, 16837, 299, 30, 630, 32, 3531, 32, 2582, 81, 47857, 30, 1692, 32, 100, 1003, 30, 1692, 32, 6946, 30, 1340, 27, 291, 4348, 6937, 26, 1567, 30, 14249, 1151, 6754, 27, 556, 6937, 26, 1567, 30, 14249, 1151, 2626, 6754, 711, 324, 1340, 30, 5966, 30, 3361, 280, 1692, 32, 11576, 346, 324, 415, 3361, 863, 1665, 461, 630, 32, 3531, 32, 267, 81, 1696, 81, 41122, 81, 2342, 863, 1665, 461, 3361, 32, 23800, 81, 1877, 44, 400, 630, 32, 3531, 32, 267, 81, 1696, 81, 41122, 81, 2342, 26, 1548, 30, 9254, 816, 44, 630, 32, 3531, 32, 12084, 1151, 26, 1567, 490, 400, 442, 1665, 324, 415, 1692, 32, 7615, 81, 5078, 863, 1665, 44, 400, 6717, 81, 5078, 280, 8825, 26, 1567, 32, 7615, 81, 5078, 27, 324, 813, 44, 400, 6717, 81, 5078, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 8, 8, 7, 5, 5, 9, 8, 8, 10, 11, 10, 6, 6, 7, 9, 8, 8, 7, 7, 7, 11, 11, 11, 11, 10, 10, 12, 12, 12, 11, 11, 13, 13, 13, 11, 11, 7, 7, 8, 8, 8, 12, 12, 12, 12, 11, 11, 12, 9, 9, 10, 11, 11, 12, 12, 12, 10, 10, 10, 12, 9, 9, 10, 13, 13, 12, 12, 15, 16, 14, 15, 15, 15, 15, 15, 15, 15, 13, 13, 11, 11, 12, 13, 13, 13, 10, 10, 10, 15, 16, 14, 15, 15, 15, 15, 15, 15, 15, 14, 15, 14, 14, 15, 15, 15, 18, 19, 17, 18, 18, 17, 18, 17, 11, 11, 12, 6, 6, 10, 11, 9, 10, 10, 10, 8, 8, 6, 6, 10, 11, 9, 10, 10, 10, 10, 9, 10, 9, 9, 9, 9, 9, 6, 6, 7, 10, 11, 9, 10, 10, 10, 10, 10, 8, 8, 7, 7, 7, 13, 14, 12, 13, 13, 13, 13, 13, 11, 12, 11, 8, 8, 12, 13, 11, 12, 12, 12, 12, 12, 10, 10, 8, 8, 9, 12, 13, 11, 12, 12, 12, 10, 10, 9, 9, 9, 14, 15, 13, 14, 14, 14, 12, 12, 14, 14, 14, 17, 16, 17, 15, 16, 14, 14, 16, 17, 15, 16, 16, 16, 14, 6, 6, 7, 10, 11, 9, 10, 10, 10, 10, 10, 8, 8, 7, 7, 7, 12, 13, 11, 12, 12, 12, 12, 12, 10, 10, 11, 12, 12, 6, 6, 7, 9, 9, 9, 9, 9, 8, 8, 10, 11, 9, 10, 10, 10, 8, 8, 9, 10, 10, 8, 8, 9, 10, 8, 8, 8, 5, 5, 6, 9, 10, 9, 9, 10, 10, 9, 7, 7, 9, 10, 9, 9, 10, 10, 10, 9, 6, 6, 10, 10, 10, 10, 9, 9, 11, 12, 11, 7, 7, 8, 11, 11, 10, 10, 13, 14, 12, 13, 13, 13, 13, 13, 13, 13, 11, 11, 9, 9, 10, 11, 11, 11, 8, 8, 8, 13, 14, 12, 13, 13, 13, 13, 13, 13, 13, 12, 13, 12, 12, 13, 13, 13, 16, 17, 15, 16, 16, 15, 16, 15, 9, 9, 10, 7, 7, 8, 10, 11, 11, 11, 9, 9, 8, 8, 8, 12, 12, 11, 11, 13, 15, 14, 15, 15, 15, 13, 8, 8, 9, 9, 9, 13, 13, 12 ]
[ 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 11, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 2, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 0, 2, 0, 2, 2, 1, 1, 1, 3, 3, 1, 3, 3, 0, 2, 0, 2, 2, 2, 0, 0, 3, 3, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 4, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 3, 3, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 3, 2, 2, 2, 1, 3, 3, 5, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 3, 3, 6, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 1, 5, 2, 2, 1, 1, 7, 2, 1, 1, 1, 0, 0, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 0, 2, 0, 2, 2, 1, 1, 1, 3, 3, 1, 3, 3, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 4, 4, 4, 0, 0, 0 ]
[ 465, 296, 7858, 94, 203, 465, 2771, 2872, 203, 465, 12460, 203, 465, 2361, 203, 465, 2322, 203, 465, 46476, 1356, 203, 465, 316, 203, 465, 22977, 203, 465, 802, 203, 465, 16539, 203, 465, 5237, 203, 465, 29590, 203, 589, 2575, 26, 1132, 711, 334, 13916, 280, 9489, 3653, 346, 334, 4323, 81, 687, 280, 13916, 32, 7179, 26, 1132, 27, 334, 415, 4323, 81, 687, 438, 646, 1665, 44, 284, 5237, 32, 4775, 26, 4775, 81, 687, 27, 203, 823, 9489, 3653, 26, 1473, 711, 334, 665, 21249, 26, 784, 30, 2181, 711, 284, 415, 2069, 26, 1132, 27, 333, 225, 35, 44, 397, 3636, 3268, 440, 1337, 8448, 4209, 657, 284, 1411, 280, 313, 2650, 23, 101, 20, 904, 630, 1114, 2019, 1147, 558, 26, 1132, 77, 34, 1130, 284, 442, 18623, 26, 784, 30, 1411, 2502, 28, 1132, 77, 35, 19572, 334, 665, 617, 2019, 1147, 558, 26, 784, 30, 636, 81, 800, 711, 284, 442, 636, 81, 800, 32, 1311, 922, 3227, 12605, 370, 9142, 334, 665, 6779, 4001, 4767, 2291, 26, 784, 30, 1914, 30, 3466, 711, 284, 5016, 280, 2322, 32, 983, 32, 48271, 26, 1855, 5594, 35, 997, 5729, 346, 284, 415, 2322, 32, 983, 32, 34103, 26, 1855, 711, 397, 415, 2322, 32, 983, 32, 4658, 26, 3316, 711, 291, 22977, 32, 100, 41718, 26, 3316, 27, 397, 22977, 32, 2991, 3242, 26, 1855, 30, 3466, 27, 284, 4348, 5016, 610, 5608, 106, 930, 950, 397, 442, 630, 1114, 4001, 74, 3057, 974, 26, 1855, 30, 3466, 27, 284, 4348, 5016, 610, 5608, 13519, 2190, 950, 397, 442, 630, 1114, 4001, 74, 3057, 974, 26, 1855, 30, 3466, 27, 284, 4348, 5016, 610, 5608, 8352, 950, 397, 630, 1114, 4001, 9634, 974, 26, 1855, 30, 3466, 27, 284, 813, 44, 397, 22977, 32, 2991, 26, 1855, 30, 3466, 27, 334, 665, 617, 4001, 74, 3057, 974, 26, 784, 30, 1914, 30, 3466, 711, 284, 1695, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 35490, 4064, 761, 28154, 284, 415, 2322, 32, 983, 32, 2808, 983, 26, 1855, 711, 397, 1914, 280, 2322, 32, 983, 32, 2524, 26, 1439, 30, 1914, 27, 284, 415, 2322, 32, 983, 32, 2808, 983, 26, 3316, 711, 397, 3466, 280, 2322, 32, 983, 32, 2524, 26, 1439, 30, 3466, 27, 284, 2181, 280, 2107, 3077, 1945, 370, 330, 930, 3732, 370, 11363, 4275, 370, 11363, 19991, 370, 11363, 30557, 370, 291, 11363, 2024, 31, 1643, 370, 330, 18184, 31, 18210, 31, 878, 370, 11363, 6993, 370, 3466, 30, 1914, 79, 284, 24176, 3732, 81, 1906, 81, 268, 280, 316, 32, 6993, 26, 100, 18010, 34254, 3424, 78, 1958, 683, 284, 24176, 3732, 81, 268, 280, 316, 32, 6993, 26, 100, 2473, 28, 5766, 44, 3424, 297, 46192, 2819, 1795, 683, 284, 24176, 23844, 18757, 280, 16539, 32, 45606, 26, 1132, 30, 12532, 47, 27958, 32, 18165, 27, 284, 1550, 81, 1906, 81, 2111, 280, 1665, 284, 436, 1628, 328, 24176, 23844, 18757, 32, 9362, 44, 397, 415, 24176, 3732, 81, 1906, 81, 268, 32, 2872 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 3, 5, 5, 4, 4, 4, 3, 3, 3, 7, 8, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 11, 11, 11, 11, 4, 4, 6, 6, 9, 9, 9, 9, 7, 7, 9, 10, 10, 10, 9, 11, 10, 11, 10, 4, 4, 5, 8, 9, 8, 8, 8, 8, 10, 9, 11, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 10, 10, 9, 10, 9, 8, 7, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 12, 13, 11, 12, 11, 12, 11, 10, 9, 9, 8, 4, 4, 5, 8, 9, 7, 8, 7, 8, 7, 5, 5, 7, 10, 11, 9, 10, 9, 10, 9, 7, 7, 11, 12, 12, 11, 12, 11, 6, 6, 9, 10, 10, 9, 10, 9, 9, 9, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 8, 10, 11, 11, 11, 11, 10, 11, 10, 10, 10, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 8, 10, 11, 11, 11, 11, 10, 11, 10, 10, 10, 5, 5, 6, 7, 7, 9, 9, 6, 6, 10, 11, 11, 11, 10, 11, 10, 10, 10, 5, 5, 6, 6, 6, 10, 11, 10, 11, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 4, 4, 5, 8, 9, 7, 8, 8, 7, 8, 7, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 10, 4, 4, 5, 8, 9, 7, 8, 8, 7, 8, 7, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 10, 4, 4, 6, 6, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 8, 8, 9, 11, 10, 11, 8, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 7, 7, 6, 7, 5, 5, 5, 7, 10, 10, 10, 10, 10, 9, 10 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 2, 1, 2, 12, 12, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 13, 13, 1, 2, 1, 2, 13, 13, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 2, 5, 5, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 2, 6, 6, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 8, 8, 8, 0, 0, 3, 2, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 2 ]
[ 465, 15798, 203, 1070, 554, 329, 1188, 18161, 203, 1070, 554, 329, 32, 1262, 1188, 319, 203, 1070, 554, 329, 32, 3142, 1188, 6287, 203, 1070, 554, 329, 32, 858, 1188, 10572, 9816, 203, 823, 4101, 7040, 2780, 7233, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 2121, 280, 766, 324, 10572, 9816, 26, 4898, 6020, 13163, 32, 2044, 7040, 2780, 30, 1891, 18161, 32, 2044, 7040, 1564, 2570, 1130, 291, 630, 32, 2157, 280, 18161, 32, 2044, 7040, 2780, 26, 784, 32, 2121, 27, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 2121, 32, 4534, 81, 1199, 346, 284, 665, 894, 81, 6656, 81, 3543, 26, 784, 711, 291, 630, 32, 2121, 32, 1199, 81, 6554, 32, 2493, 303, 405, 1813, 26, 324, 313, 2631, 2641, 6501, 2742, 10027, 101, 9726, 101, 5715, 324, 41449, 25172, 370, 330, 6614, 27739, 81, 2396, 20452, 1425, 1802, 2726, 25172, 370, 330, 25252, 81, 15816, 1425, 1802, 2726, 93, 332, 370, 330, 37867, 1218, 81, 6037, 45325, 291, 630, 32, 5299, 4901, 25252, 81, 15816, 370, 330, 6614, 27739, 81, 2396, 20452, 2188, 656, 8594, 26, 784, 32, 2157, 32, 371, 81, 496, 81, 11893, 463, 25172, 21180, 291, 630, 32, 5299, 4901, 37867, 1218, 81, 6037, 2188, 656, 630, 32, 2157, 32, 371, 81, 496, 81, 11893, 463, 93, 332, 2847, 284, 665, 894, 81, 6656, 81, 1363, 26, 784, 711, 291, 630, 32, 2121, 32, 1199, 81, 6554, 32, 2493, 303, 405, 1813, 26, 324, 313, 2631, 2641, 6501, 2742, 10027, 101, 9726, 101, 5715, 324, 41449, 1902, 370, 330, 6614, 27739, 81, 2396, 20452, 1425, 1802, 2726, 1902, 370, 330, 25252, 81, 15816, 1425, 1802, 2726, 25172, 370, 330, 1902, 45325, 291, 630, 32, 5299, 4901, 25252, 81, 15816, 370, 330, 6614, 27739, 81, 2396, 20452, 2188, 656, 8594, 26, 784, 32, 2157, 32, 371, 81, 496, 81, 11893, 463, 25172, 21180, 284, 665, 894, 81, 15377, 81, 6332, 26, 784, 711, 291, 630, 32, 2121, 32, 1199, 81, 6554, 32, 2493, 303, 405, 1813, 26, 324, 313, 2631, 2641, 6501, 2742, 10027, 101, 9726, 101, 5715, 324, 41449, 1902, 370, 330, 6614, 27739, 81, 2396, 20452, 1425, 1802, 2726, 1902, 370, 330, 25252, 81, 15816, 1425, 1802, 2726, 2300, 370, 330, 1902, 1425, 1802, 2726, 25172, 370, 330, 2300, 45325, 291, 630, 32, 5299, 4901, 25252, 81, 15816, 370, 330, 6614, 27739, 81, 2396, 20452, 2188, 656, 8594, 26, 784, 32, 2157, 32, 371, 81, 496, 81, 11893, 463, 25172, 21180, 284, 665, 894, 81, 20810, 81, 1732, 81, 1363, 26, 784, 711, 291, 630, 32, 2121, 32, 1199, 81, 6554, 32, 2493, 303, 405, 1813, 26, 324, 313, 2631, 2641, 6501, 2742, 10027, 101, 9726, 101, 5715, 324, 41449, 8483, 370, 330, 6614, 27739, 81, 2396, 20452, 1425, 1802, 2726, 8483, 370, 330, 25252, 81, 15816, 1425, 1802, 2726, 4191, 370, 330, 8483, 1425, 1802, 2726, 25172, 370, 330, 4191, 45325, 291, 630, 32, 5299, 4901, 25252, 81, 15816, 370, 330, 6614, 27739, 81, 2396, 20452, 2188, 656, 8594, 26, 784, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 6, 8, 8, 10, 9, 12, 11, 12, 12, 12, 10, 10, 10, 11, 12, 12, 12, 12, 10, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 9, 9, 9, 7, 8, 8, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 8, 8, 11, 11, 11, 9, 11, 11, 11, 11, 11, 4, 4, 7, 8, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 9, 13, 12, 13, 11, 12, 12, 12, 12, 12, 11, 13, 13, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 9, 9, 9, 7, 8, 8, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 9, 13, 12, 13, 11, 12, 12, 12, 12, 12, 11, 13, 13, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 9, 9, 9, 7, 8, 8, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 8, 8, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 9, 13, 12, 13, 11, 12, 12, 12, 12, 12, 11, 13, 13, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 9, 9, 9, 7, 8, 8, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 8, 8, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 9, 13, 12 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 1, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 3, 1, 1, 1, 2, 3, 3, 1, 1, 2, 5, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 3, 1, 1, 1, 2, 3, 3, 1, 2, 5, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 3, 1, 1, 1, 2, 3, 3, 1, 2, 5, 1, 2, 3, 3, 1, 2, 7, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 3, 1, 1, 1, 2, 3, 3, 1, 2, 5, 1, 2, 3, 3, 1, 2, 7, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0 ]
[ 465, 6436, 619, 2065, 203, 1070, 18414, 32, 22926, 1188, 14486, 81, 4698, 203, 589, 2910, 4698, 26, 106, 30, 533, 711, 284, 816, 81, 955, 280, 2065, 32, 955, 26, 106, 27, 284, 533, 81, 955, 280, 2065, 32, 955, 26, 107, 27, 284, 816, 81, 11949, 81, 1055, 280, 2065, 32, 297, 11949, 26, 106, 81, 955, 27, 284, 533, 81, 11949, 81, 1055, 280, 2065, 32, 297, 11949, 26, 107, 81, 955, 27, 284, 5941, 280, 2065, 32, 11081, 81, 363, 26, 106, 81, 11949, 81, 1055, 30, 533, 81, 11949, 81, 1055, 27, 284, 2910, 1298, 280, 9254, 816, 30, 312, 30, 323, 44, 312, 319, 2065, 32, 7370, 26, 106, 30, 323, 27, 284, 2085, 385, 30, 298, 12626, 280, 14486, 81, 4698, 26, 2832, 1298, 30, 816, 81, 955, 77, 3965, 614, 533, 81, 955, 77, 3965, 1130, 284, 442, 2085, 385, 30, 298, 12626, 203, 589, 2910, 4698, 36, 26, 106, 30, 533, 711, 284, 816, 35, 81, 955, 280, 2065, 32, 955, 26, 106, 77, 34, 1130, 284, 816, 36, 81, 955, 280, 2065, 32, 955, 26, 106, 77, 35, 1130, 284, 533, 81, 955, 280, 2065, 32, 955, 26, 107, 27, 284, 816, 35, 81, 11949, 81, 1055, 280, 2065, 32, 297, 11949, 26, 106, 35, 81, 955, 27, 284, 816, 36, 81, 11949, 81, 1055, 280, 2065, 32, 297, 11949, 26, 106, 36, 81, 955, 27, 284, 533, 81, 11949, 81, 1055, 280, 2065, 32, 297, 11949, 26, 107, 81, 955, 27, 284, 5941, 280, 2065, 32, 11081, 81, 363, 26, 291, 816, 36, 81, 11949, 81, 1055, 30, 2065, 32, 11081, 81, 363, 26, 106, 35, 81, 11949, 81, 1055, 30, 533, 81, 11949, 81, 1055, 27, 284, 829, 284, 2910, 1298, 280, 9254, 816, 30, 312, 30, 323, 30, 281, 44, 312, 319, 2065, 32, 7370, 26, 106, 77, 34, 614, 323, 27, 319, 2065, 32, 7370, 26, 106, 77, 35, 614, 281, 27, 284, 2085, 385, 30, 298, 12626, 280, 14486, 81, 4698, 26, 2832, 1298, 30, 428, 106, 35, 81, 955, 77, 3965, 614, 816, 36, 81, 955, 77, 3965, 6137, 533, 81, 955, 77, 3965, 1130, 284, 442, 2085, 385, 30, 298, 12626, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 5, 6, 6, 6, 6, 5, 5, 6, 6, 8, 9, 8, 9, 8, 8, 8, 2, 2, 6, 5, 5, 6, 4, 4, 6, 6, 6, 7, 7, 6, 6, 8, 8, 7, 8, 7, 6, 8, 8, 7, 8, 7, 2, 2, 3, 5, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 7, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8, 6, 6, 2, 2, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 7, 7, 9, 10, 9, 11, 10, 11, 10, 9, 9, 6, 6, 8, 9, 8, 10, 9, 10, 9, 8, 8, 2, 2, 6, 5, 5, 6, 4, 4, 6, 6, 6, 7, 7, 6, 6, 9, 9, 9, 9, 8, 9, 8, 7, 9, 9, 9, 8, 9, 8, 6, 8, 8, 7, 8, 7, 2, 2, 3, 5, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 3, 2, 3, 1, 0, 0, 5, 2, 5, 4, 4, 7, 0, 1, 1, 2, 0, 3, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 0, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 3, 0, 0, 0, 3, 2, 3, 1, 0, 0, 5, 2, 5, 4, 4, 9, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 1133, 203, 1070, 3089, 749, 98, 32, 3734, 1188, 3639, 81, 21039, 105, 203, 823, 8822, 81, 3734, 81, 1216, 26, 3734, 81, 21039, 105, 32, 100, 696, 81, 2208, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5564, 30, 12373, 30, 636, 30, 1619, 711, 291, 2599, 26, 1367, 81, 3734, 81, 1216, 30, 630, 14585, 1664, 3207, 2446, 30, 12373, 30, 636, 30, 1619, 27, 291, 630, 32, 1696, 1819, 32, 1877, 1371, 324, 330, 1003, 950, 1133, 30, 324, 330, 371, 81, 2999, 950, 630, 32, 371, 81, 2999, 30, 324, 330, 371, 81, 3028, 950, 630, 32, 371, 81, 3028, 30, 291, 1790, 284, 665, 622, 81, 2999, 26, 784, 711, 291, 17692, 81, 3631, 280, 630, 32, 5178, 32, 371, 463, 17220, 32, 1500, 1814, 1903, 26, 784, 32, 2446, 30, 630, 32, 1890, 30, 41449, 1293, 370, 16509, 330, 2584, 81, 8800, 45325, 291, 442, 596, 26, 1657, 26, 4798, 81, 3631, 490, 284, 665, 622, 81, 3028, 26, 784, 711, 291, 2152, 280, 2149, 291, 17692, 81, 3631, 280, 630, 32, 5178, 32, 371, 463, 17220, 32, 1500, 1814, 1903, 26, 784, 32, 2446, 30, 630, 32, 1890, 30, 41449, 1293, 370, 16509, 330, 2584, 81, 8800, 45325, 291, 415, 17692, 81, 3631, 44, 324, 436, 17692, 81, 314, 328, 630, 32, 5178, 32, 371, 463, 17220, 32, 1500, 1814, 14304, 26, 784, 32, 2446, 30, 630, 32, 1890, 30, 17692, 81, 3631, 711, 400, 1202, 280, 17692, 81, 314, 32, 2122, 461, 17692, 81, 314, 32, 2122, 32, 2310, 556, 4247, 400, 2152, 77, 678, 79, 280, 225, 35, 474, 2152, 32, 371, 26, 678, 30, 225, 34, 27, 291, 442, 2152, 32, 3028, 346, 203, 3734, 81, 21039, 105, 32, 3734, 81, 21039, 105, 26, 284, 330, 3734, 32, 1367, 81, 3734, 81, 1216, 370, 284, 330, 17220, 32, 1500, 370, 284, 330, 23403, 33, 17220, 81, 1237, 33, 3734, 33, 1367, 81, 3734, 32, 100, 696, 370, 284, 4118, 47, 1367, 81, 3734, 81, 1216, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 4, 4, 8, 9, 9, 7, 8, 7, 8, 8, 11, 11, 9, 8, 8, 8, 11, 11, 11, 11, 9, 10, 11, 11, 11, 8, 8, 8, 11, 11, 11, 11, 9, 10, 11, 11, 11, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 11, 12, 10, 11, 10, 12, 12, 12, 12, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 8, 12, 12, 10, 10, 12, 12, 12, 12, 4, 4, 5, 7, 9, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 7, 7, 6, 6, 11, 12, 10, 11, 10, 12, 12, 12, 12, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 8, 12, 12, 10, 10, 12, 12, 12, 12, 4, 4, 5, 6, 6, 5, 5, 5, 7, 8, 8, 7, 7, 12, 13, 11, 12, 11, 13, 13, 13, 13, 10, 9, 11, 10, 11, 9, 9, 10, 11, 9, 9, 10, 10, 9, 7, 7, 10, 10, 14, 14, 13, 14, 12, 12, 15, 15, 14, 15, 13, 14, 11, 11, 8, 8, 11, 12, 11, 10, 10, 12, 11, 11, 13, 14, 13, 14, 13, 13, 14, 13, 4, 4, 5, 7, 8, 7, 0, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 5, 5, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 465, 2322, 203, 465, 316, 203, 84, 12345, 81, 407, 280, 428, 330, 23883, 370, 330, 36427, 370, 330, 2399, 370, 330, 7654, 370, 330, 7654, 74, 370, 330, 37409, 370, 330, 37, 4112, 31568, 370, 330, 39660, 370, 330, 9763, 59, 370, 330, 45342, 370, 330, 9763, 1296, 370, 330, 29967, 370, 330, 37, 3698, 74, 370, 330, 36671, 370, 330, 6969, 51, 370, 330, 22246, 1023, 9709, 370, 330, 65, 1679, 370, 330, 7649, 59, 370, 330, 59, 37, 54, 370, 330, 1392, 62, 370, 330, 3895, 74, 370, 330, 67, 8670, 370, 330, 16507, 370, 330, 26304, 370, 330, 39660, 74, 370, 330, 1392, 68, 25, 1481, 203, 589, 1289, 407, 26, 7919, 711, 664, 436, 1447, 328, 323, 12345, 81, 407, 44, 397, 415, 5013, 32, 20643, 26, 407, 711, 276, 442, 3177, 664, 442, 2933, 203, 589, 2290, 81, 1843, 81, 19111, 26, 4446, 711, 664, 10338, 101, 280, 1605, 664, 11385, 874, 280, 1605, 664, 436, 1628, 328, 5430, 44, 397, 345, 280, 316, 32, 1903, 26, 100, 28249, 5320, 33581, 40039, 4987, 69, 24913, 10826, 32, 19918, 370, 1628, 27, 397, 485, 280, 316, 32, 1903, 26, 100, 28249, 32, 14541, 1843, 78, 69, 40935, 73, 18899, 13157, 19650, 547, 29481, 370, 1628, 27, 397, 415, 345, 461, 1289, 407, 26, 95, 32, 1363, 26, 35, 8531, 276, 10338, 101, 32, 1689, 26, 95, 32, 1363, 26, 34, 547, 3227, 463, 40039, 370, 330, 68, 2060, 14602, 1814, 3227, 463, 2060, 2897, 10826, 370, 330, 68, 2060, 7143, 2060, 2897, 10826, 2847, 397, 415, 485, 461, 1289, 407, 26, 89, 32, 1363, 26, 35, 8531, 276, 11385, 874, 32, 1689, 26, 89, 32, 1363, 26, 35, 490, 664, 442, 308, 5320, 101, 30, 11385, 874, 27, 203, 589, 4450, 81, 36644, 26, 1843, 81, 5815, 874, 711, 664, 736, 280, 1605, 664, 436, 1628, 328, 3962, 81, 5815, 874, 44, 397, 736, 32, 1689, 3609, 1234, 2149, 1156, 1252, 94, 2518, 81, 34917, 1643, 26, 928, 30, 1628, 490, 664, 442, 736, 203, 589, 4450, 81, 39742, 26, 1843, 81, 5815, 874, 711, 664, 442, 2107, 68, 2060, 14602, 25, 474, 816, 32, 7607, 346, 474, 330, 10826, 330, 474, 11477, 1252, 94, 2518, 16436, 474, 816, 474, 40551, 436, 816, 328, 3962, 81, 5815, 874, 79, 203, 589, 4450, 81, 19894, 26, 1843, 81, 5815, 874, 711, 664, 442, 2107, 264, 44759, 463, 474, 816, 32, 3227, 463, 1843, 370, 9142, 474, 330, 41218, 436, 816, 328, 3962, 81, 5815, 874, 79, 203, 589, 10128, 26, 88, 30, 5430, 711, 664, 296, 32, 1821, 9442, 96, 2473, 2524, 26, 4446, 490, 664, 296, 32, 1821, 9442, 96, 78, 96, 683, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 664, 415, 2069, 26, 3731, 32, 6118, 27, 848, 225, 38, 44, 397, 436, 323, 12345, 328, 5237, 32, 6118, 77, 38, 44, 2786, 276, 323, 12345, 81, 407, 32, 1689, 26, 84, 12345, 27, 664, 623, 2156, 26, 3731, 32, 6118, 77, 35, 614, 330, 100, 683, 619, 296, 44, 397 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 3, 4, 4, 4, 3, 3, 3, 5, 7, 8, 7, 8, 7, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 5, 6, 6, 8, 8, 11, 10, 11, 10, 11, 10, 5, 5, 10, 9, 10, 9, 16, 15, 16, 15, 16, 15, 14, 13, 15, 15, 13, 15, 15, 15, 15, 12, 11, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 4, 4, 5, 6, 6, 8, 8, 11, 10, 11, 10, 11, 10, 5, 5, 10, 9, 10, 9, 12, 11, 12, 11, 12, 11, 2, 2, 3, 5, 5, 4, 4, 5, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 9, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 11, 11, 11, 11, 9, 9, 11, 12, 11, 8, 8, 10, 10, 7, 7, 9, 9, 9, 9, 6, 6, 5, 5, 4, 5, 5, 5, 6, 6, 6, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 8, 5, 5, 7, 4, 5, 5, 5, 6, 6, 6, 4, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 5, 6, 5, 10, 9, 8, 7, 8, 7, 2, 2, 5, 6, 5, 8, 8, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 6, 8, 7, 8, 6, 4, 4, 5, 3, 3, 3, 5, 6, 5, 5, 7, 8, 6, 8, 7, 6, 5, 5, 10, 10, 10, 9, 10, 9, 10, 10, 9, 2, 2, 3, 8, 11, 10, 11, 9, 10, 9, 8, 10, 10, 6, 6, 3, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 4, 4, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 3, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 3, 1, 0, 6, 6, 1, 1, 2, 1, 1, 1, 1, 2, 6, 6, 0, 0, 4, 4, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 7, 7, 1, 1, 2, 1, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 1, 0, 8, 8, 1, 1, 2, 1, 1, 1, 1, 2, 8, 8, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 1, 0, 9, 9, 2, 1, 2, 2, 2, 9, 9, 0, 2, 1, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 0, 10, 10, 0, 0, 1, 1, 1, 1, 10, 10, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 3, 0, 2, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8082, 81, 520, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 823, 20905, 19939, 3703, 1006, 26, 858, 32, 7233, 711, 334, 665, 617, 3313, 12470, 18390, 94, 1243, 26, 784, 711, 284, 312, 280, 1417, 81, 4156, 32, 10335, 26, 48507, 32, 410, 37, 36, 30, 428, 36, 30, 225, 36, 1130, 284, 323, 280, 1417, 81, 4156, 32, 10335, 26, 48507, 32, 410, 37, 36, 30, 428, 36, 30, 225, 36, 1130, 284, 533, 280, 7744, 81, 4156, 32, 33902, 26, 83, 30, 323, 27, 284, 442, 312, 30, 323, 30, 533, 334, 665, 617, 3313, 12470, 1243, 26, 784, 711, 284, 312, 280, 8082, 81, 520, 32, 8662, 21145, 35, 30, 225, 36, 614, 428, 37, 30, 225, 38, 13138, 284, 323, 280, 8082, 81, 520, 32, 8662, 21145, 35, 30, 225, 36, 614, 428, 37, 30, 225, 38, 13138, 284, 442, 7744, 81, 4156, 32, 33902, 26, 83, 30, 323, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 894, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 10, 9, 9, 10, 9, 4, 4, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 10, 9, 9, 10, 9, 4, 4, 6, 6, 9, 9, 8, 9, 8, 9, 8, 8, 8, 4, 4, 5, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 4, 4, 6, 6, 9, 9, 8, 9, 8, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 4, 4, 5, 8, 8, 7, 8, 7, 8, 7, 7, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 4, 4, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 9, 9, 0, 0, 1, 1, 1, 1, 9, 9, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 45778, 203, 465, 2919, 2208, 203, 465, 2322, 203, 465, 316, 203, 465, 1671, 203, 465, 5237, 203, 465, 1133, 203, 465, 41879, 1146, 203, 8758, 81, 22812, 81, 2739, 280, 225, 35, 34, 34, 203, 26324, 81, 11379, 69, 280, 3447, 102, 563, 5461, 91, 6733, 4414, 313, 85, 563, 5461, 91, 3612, 203, 26324, 69, 81, 3539, 81, 30924, 81, 10463, 280, 225, 34, 106, 40571, 9382, 203, 1405, 37989, 81, 26324, 69, 81, 3539, 81, 30924, 81, 10463, 280, 225, 34, 106, 35, 37, 35, 37, 35, 37, 35, 37, 203, 823, 23270, 12506, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 706, 81, 426, 30, 636, 81, 2029, 711, 284, 630, 32, 605, 81, 426, 280, 706, 81, 426, 284, 630, 32, 426, 81, 2029, 280, 636, 81, 2029, 284, 630, 32, 4190, 81, 40218, 280, 1665, 284, 630, 32, 1707, 81, 28511, 280, 2149, 284, 630, 32, 605, 280, 1665, 284, 630, 32, 2388, 280, 1665, 334, 665, 4489, 26, 784, 711, 284, 1596, 44, 397, 630, 32, 605, 280, 630, 32, 11884, 7432, 750, 346, 397, 630, 32, 2961, 1669, 346, 284, 8295, 44, 397, 630, 32, 10780, 1386, 346, 334, 665, 25227, 7432, 750, 26, 784, 711, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 784, 32, 605, 81, 426, 711, 397, 14274, 81, 426, 280, 2430, 6789, 9708, 101, 33, 8212, 20, 904, 630, 32, 605, 81, 426, 397, 415, 646, 2322, 32, 983, 32, 4658, 26, 8212, 81, 426, 711, 291, 1459, 12378, 23, 101, 1492, 438, 25209, 312, 7022, 803, 12356, 312, 25979, 3107, 904, 630, 32, 605, 81, 426, 291, 5237, 32, 4775, 26, 35, 27, 397, 14274, 81, 761, 280, 2156, 26, 8212, 81, 426, 30, 313, 100, 657, 397, 1596, 44, 291, 630, 32, 605, 81, 426, 280, 1665, 291, 436, 345, 328, 316, 32, 1809, 1731, 26, 100, 9663, 1902, 33, 24355, 19323, 69, 37208, 14274, 81, 761, 32, 850, 22805, 616, 415, 2322, 32, 983, 32, 4658, 26, 95, 32, 1363, 26, 34, 8531, 324, 630, 32, 605, 81, 426, 280, 345, 32, 1363, 26, 34, 27, 324, 1626, 291, 415, 630, 32, 605, 81, 426, 438, 1665, 44, 616, 1459, 313, 4445, 1330, 2290, 7022, 803, 328, 14274, 436, 25979, 904, 101, 3107, 904, 630, 32, 605, 81, 426, 616, 5237, 32, 4775, 26, 35, 27, 397, 8295, 44, 291, 14274, 81, 761, 32, 2679, 346, 284, 706, 81, 761, 280, 2156, 26, 784, 32, 605, 81, 426, 30, 313, 100, 657, 284, 1334, 280, 2322, 32, 88, 4597, 26, 605, 81, 761, 32, 5039, 7888, 4251, 270, 81, 891, 284, 8626, 7888, 280, 706, 81, 761, 32, 5039, 7888, 346, 284, 630, 32, 4190, 81, 40218, 280, 45778, 32, 40218, 26, 5039, 7888, 30, 1334, 30, 2857, 47, 40218, 32, 12455, 81, 4409, 27, 284, 706, 81, 3560, 280, 13165, 38807, 26, 784, 32, 4190, 81, 40218, 27, 284, 415, 706, 81, 3560, 32, 1428, 1076, 26, 34, 27, 610, 46040, 2916, 69, 81, 3539, 81, 30924, 81, 10463, 44, 397 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 6, 6, 4, 6, 6, 6, 3, 6, 6, 4, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 9, 10, 8, 8, 10, 11, 11, 11, 10, 6, 6, 9, 10, 10, 9, 5, 5, 6, 6, 6, 10, 11, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 10, 8, 5, 5, 9, 9, 8, 8, 11, 11, 11, 11, 11, 11, 9, 9, 10, 11, 11, 11, 6, 6, 7, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 7, 7, 9, 12, 12, 13, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 8, 8, 11, 12, 11, 12, 11, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 10, 12, 12, 6, 6, 7, 7, 7, 11, 12, 12, 12, 10, 10, 8, 8, 9, 9, 9, 11, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 11, 14, 14, 13, 14, 13, 9, 9, 11, 14, 15, 13, 14, 13, 16, 15, 16, 15, 16, 15, 11, 11, 15, 16, 16, 16, 14, 14, 16, 17, 16, 17, 16, 12, 12, 8, 8, 9, 11, 12, 12, 12, 10, 10, 9, 9, 9, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 14, 14, 14, 10, 10, 13, 14, 13, 14, 13, 7, 7, 8, 8, 8, 13, 13, 12, 13, 12, 4, 4, 7, 7, 6, 6, 8, 10, 9, 10, 10, 10, 8, 8, 10, 10, 4, 4, 6, 6, 9, 10, 10, 9, 12, 12, 12, 11, 12, 12, 11, 8, 8, 8, 4, 4, 7, 6, 6, 9, 9, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 8, 8, 8, 8, 9, 11, 10, 11, 11, 11, 8, 4, 4, 7, 7, 6, 6, 8, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 9, 9, 8, 9, 9, 8, 9, 8, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5 ]
[ 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, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 3, 1, 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, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 3, 3, 3, 0, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 3, 3, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 6, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6 ]
[ 505, 2116, 505, 280, 330, 99, 21031, 50, 84, 628, 23709, 46380, 673, 32, 557, 25, 203, 505, 13411, 505, 280, 8493, 2207, 6069, 58, 22, 25, 203, 505, 770, 505, 280, 330, 36, 35, 33, 34, 36, 33, 36, 34, 35, 35, 25, 203, 505, 11794, 505, 280, 2726, 10581, 225, 36, 34, 35, 36, 30, 399, 35160, 20261, 42725, 28579, 1892, 436, 330, 353, 330, 1726, 1694, 4761, 2927, 683, 203, 465, 2322, 203, 465, 5741, 203, 465, 316, 203, 465, 2361, 203, 1070, 13625, 1188, 33953, 203, 1070, 17735, 37, 1188, 11950, 279, 924, 203, 1070, 2322, 8512, 1188, 22024, 279, 203, 1070, 2322, 8512, 32, 42986, 913, 1188, 42175, 81, 11055, 203, 465, 6436, 203, 1070, 2678, 21031, 32, 1262, 1188, 308, 284, 1910, 5360, 17062, 4859, 30, 284, 1910, 5360, 9610, 1243, 30, 284, 1910, 5360, 750, 1097, 30, 284, 1910, 5360, 2863, 4772, 30, 284, 1910, 5360, 21579, 4772, 30, 284, 1910, 5360, 8615, 6333, 30, 284, 1910, 5360, 1208, 4772, 5378, 27, 203, 1070, 48885, 38, 1188, 34031, 30, 10701, 2852, 203, 1070, 48885, 38, 32, 30609, 1188, 3619, 12561, 7785, 30, 1910, 2963, 30, 1910, 4997, 1883, 10830, 203, 1070, 48885, 38, 32, 37571, 1188, 308, 284, 1910, 3728, 30, 284, 49047, 42484, 30, 284, 1910, 44061, 30, 284, 1910, 5206, 2348, 5392, 1243, 27, 203, 1070, 3082, 81, 4018, 32, 1199, 81, 5558, 32, 1526, 21031, 32, 11628, 1188, 6401, 57, 297, 1996, 9938, 203, 1070, 10061, 1188, 13183, 203, 1070, 10061, 32, 17146, 1188, 308, 284, 3649, 81, 1536, 81, 4890, 30, 284, 745, 81, 1206, 81, 539, 81, 4890, 30, 284, 20778, 81, 90, 39715, 81, 2243, 30, 284, 42156, 81, 2243, 30, 284, 26133, 81, 90, 39715, 81, 15210, 30, 284, 4026, 81, 90, 39715, 81, 15210, 30, 284, 5396, 81, 32227, 81, 90, 39715, 30, 284, 5396, 81, 32227, 81, 327, 20565, 30, 284, 5396, 81, 32227, 81, 38457, 30, 284, 420, 39715, 81, 3153, 81, 6270, 81, 1567, 30, 284, 5396, 81, 10119, 81, 1493, 30, 284, 5396, 81, 10119, 81, 928, 30, 284, 5396, 81, 10119, 81, 20003, 30, 284, 5396, 81, 10119, 81, 24181, 30, 284, 5396, 81, 2816, 81, 32938, 30, 284, 5396, 81, 2816, 81, 823, 1639, 27, 203, 1070, 10061, 32, 35558, 81, 8239, 32, 35558, 81, 1126, 81, 4018, 1188, 4831, 536, 2447, 1572, 203, 1070, 10061, 32, 16064, 32, 7317, 81, 716, 1188, 30465, 2338, 203, 1070, 10061, 32, 16064, 32, 11382, 81, 4531, 1188, 17422, 1972, 203, 1070, 10061, 32, 16064, 32, 21031, 1188, 308, 284, 438, 81, 24181, 81, 1823, 30, 284, 438, 81, 1493, 81, 1823, 30, 284, 438, 81, 20003, 81, 1823, 30, 284, 5396, 81, 4890, 81, 4243, 27, 203, 1070, 10061, 32, 16064, 32, 16064, 1188, 622, 81, 731, 81, 1436, 30, 8868, 81, 1648, 203, 1070, 10061, 32, 10514, 1188, 622, 81, 10514, 203, 1070, 10061, 32, 2282, 32, 11452, 1188, 308, 284, 5033, 27981, 30, 284, 3139, 23197, 3595, 924, 30, 284, 30465, 27981, 30, 284, 8073, 3012, 924, 30, 284, 18094, 2570 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 8, 8, 0, 9, 9, 0, 9, 9, 0, 0, 0, 10, 10, 0, 10, 10, 0, 0, 11, 11, 0, 1, 2, 2, 11, 11, 0, 0, 0, 12, 12, 0, 13, 13, 0, 1, 2, 13, 13, 13, 13, 0, 0, 0, 13, 13, 13, 0, 0, 0, 13, 13, 13, 0, 0, 0, 13, 13, 13, 0, 0, 0, 13, 13, 13, 0, 0, 0, 13, 13, 13, 0, 0, 0, 13, 13, 13, 0, 0, 0, 0, 13, 0, 14, 14, 0, 14, 14, 14, 14, 0, 0, 15, 15, 0, 1, 2, 15, 15, 0, 0, 15, 15, 0, 15, 15, 0, 0, 0, 0, 16, 16, 0, 1, 2, 16, 16, 16, 16, 0, 16, 16, 16, 0, 16, 16, 16, 0, 16, 16, 16, 0, 0, 0, 0, 16, 0, 17, 17, 0, 0, 1, 2, 2, 2, 1, 4, 4, 1, 6, 17, 17, 0, 0, 0, 0, 0, 18, 18, 18, 18, 0, 19, 19, 1, 2, 19, 19, 19, 19, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 0, 19, 19, 19, 0, 0, 19, 19, 19, 0, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 19, 19, 19, 0, 0, 0, 0, 0, 19, 0, 20, 20, 1, 2, 2, 2, 1, 4, 4, 4, 4, 4, 20, 20, 0, 0, 0, 0, 21, 21, 1, 2, 1, 4, 4, 4, 21, 21, 0, 0, 22, 22, 1, 2, 1, 4, 4, 4, 22, 22, 0, 0, 23, 23, 1, 2, 1, 4, 23, 23, 23, 23, 0, 0, 0, 0, 23, 23, 23, 0, 0, 0, 0, 23, 23, 23, 0, 0, 0, 0, 23, 23, 23, 0, 0, 0, 0, 23, 0, 24, 24, 1, 2, 1, 4, 24, 24, 0, 0, 0, 0, 24, 24, 0, 0, 0, 25, 25, 1, 2, 25, 25, 0, 0, 0, 26, 26, 1, 2, 1, 4, 26, 26, 26, 26, 0, 26, 26, 26, 0, 0, 0, 26, 26, 26, 0, 26, 26, 26, 0, 0, 26, 26, 26, 0 ]
[ 465, 5741, 203, 1070, 3226, 654, 32, 978, 46674, 1188, 624, 9763, 59, 2059, 30, 624, 9763, 59, 1972, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 498, 107, 41010, 3951, 14819, 1972, 26, 3951, 14819, 1972, 711, 284, 665, 2179, 81, 1357, 26, 784, 711, 291, 3104, 280, 630, 32, 1986, 81, 1322, 556, 20514, 291, 415, 630, 32, 1003, 81, 11333, 44, 324, 7715, 280, 6611, 88, 25, 904, 308, 784, 32, 1003, 81, 11333, 429, 630, 32, 1003, 81, 1366, 27, 291, 813, 44, 324, 7715, 280, 20514, 291, 2043, 81, 2468, 280, 630, 32, 1580, 81, 2468, 77, 34, 79, 415, 6937, 26, 784, 32, 1580, 81, 2468, 30, 8825, 27, 813, 630, 32, 1580, 81, 2468, 291, 442, 330, 1580, 6132, 101, 429, 429, 5461, 101, 20, 2287, 6132, 101, 3104, 6132, 101, 7459, 6132, 101, 308, 6360, 9905, 904, 308, 324, 2043, 81, 2468, 556, 34848, 324, 18623, 26, 784, 30, 330, 1357, 928, 370, 12304, 324, 308, 32110, 26, 784, 30, 330, 1517, 370, 1665, 27, 556, 330, 34, 34, 34, 1814, 2998, 8532, 34, 614, 324, 3104, 30, 324, 7715, 27, 284, 665, 1245, 81, 1357, 26, 784, 711, 291, 4082, 32, 1338, 26, 784, 32, 1643, 81, 1357, 1157, 203, 823, 498, 107, 41010, 3951, 14819, 2059, 26, 3951, 14819, 2059, 711, 284, 4899, 81, 823, 280, 498, 107, 41010, 3951, 14819, 1972, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 7, 7, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 8, 8, 11, 11, 9, 9, 13, 12, 13, 13, 13, 11, 11, 12, 13, 13, 13, 10, 5, 5, 6, 6, 6, 9, 9, 4, 4, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 8, 7, 7, 9, 11, 10, 11, 11, 11, 9, 9, 9, 7, 7, 8, 9, 9, 9, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 9, 9, 8, 8, 7, 7, 9, 10, 9, 9, 11, 11, 11, 9, 7, 7, 14, 14, 15, 14, 14, 16, 16, 14, 14, 12, 12, 14, 14, 14, 14, 11, 10, 9, 8, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 10, 10, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 4, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 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 ]
[ 1070, 1156, 9666, 505, 1188, 308, 9941, 81, 30839, 30, 20654, 30, 7976, 81, 465, 30, 715, 1459, 81, 1126, 27, 203, 505, 2077, 505, 280, 330, 21181, 354, 37, 25, 203, 505, 11794, 505, 280, 330, 36, 34, 35, 37, 30, 1224, 1538, 314, 7645, 31214, 333, 45991, 314, 821, 831, 1538, 314, 1704, 31214, 32, 1299, 6457, 203, 465, 2322, 30, 15798, 30, 22977, 203, 1070, 2182, 930, 268, 1188, 7500, 2976, 203, 1070, 2182, 930, 268, 32, 385, 957, 761, 1188, 38095, 4542, 203, 1070, 2182, 930, 268, 32, 385, 957, 761, 1188, 32741, 24723, 4542, 203, 1070, 2182, 930, 268, 32, 2304, 32, 7490, 1188, 12801, 1883, 203, 465, 2182, 930, 268, 32, 20902, 32, 97, 872, 32, 3415, 1708, 32, 2630, 619, 11487, 203, 589, 622, 81, 2613, 2262, 284, 645, 2182, 930, 268, 32, 9777, 1188, 3320, 81, 1515, 284, 3320, 280, 2322, 32, 983, 32, 2524, 26, 2613, 81, 1515, 1026, 330, 3415, 1708, 31, 858, 683, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 2613, 711, 291, 2322, 32, 10174, 26, 2613, 27, 284, 442, 3320, 203, 589, 5652, 81, 268, 6993, 26, 2067, 30, 1561, 101, 711, 284, 415, 6937, 26, 1617, 101, 30, 827, 463, 41095, 291, 1561, 101, 280, 428, 1617, 101, 79, 284, 1596, 44, 291, 2830, 81, 29290, 280, 2322, 32, 4597, 26, 2067, 547, 270, 81, 29290, 284, 2940, 546, 21887, 44, 291, 442, 2933, 284, 436, 1561, 328, 1561, 101, 44, 291, 415, 2322, 32, 4597, 26, 1617, 547, 270, 81, 29290, 848, 2830, 81, 29290, 44, 324, 442, 2933, 284, 442, 3177, 203, 589, 1968, 81, 2609, 26, 1617, 30, 3466, 30, 2181, 47, 22805, 284, 645, 2182, 930, 268, 32, 20902, 32, 19510, 32, 4538, 1188, 2575, 284, 2575, 4901, 9225, 31, 5954, 370, 1561, 30, 3466, 79, 474, 1149, 26, 1132, 490, 203, 589, 1015, 81, 5379, 26, 1294, 30, 540, 1110, 711, 284, 436, 5674, 30, 1519, 328, 540, 1110, 32, 40957, 2262, 291, 18146, 280, 2322, 32, 983, 32, 15705, 26, 983, 27, 291, 22977, 32, 2991, 36, 26, 983, 30, 41723, 291, 5081, 280, 5081, 32, 3227, 26, 10335, 30, 18146, 27, 284, 442, 5081, 203, 589, 622, 81, 6656, 81, 2609, 26, 3972, 1057, 929, 356, 7831, 284, 3320, 280, 622, 81, 2613, 346, 284, 12121, 280, 2322, 32, 983, 32, 2524, 26, 2613, 30, 330, 6656, 4564, 29, 3972, 27, 284, 1561, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 6656, 32, 916, 683, 284, 415, 5652, 81, 268, 6993, 26, 693, 30, 1561, 711, 291, 623, 38095, 4542, 463, 84, 385, 683, 619, 273, 1515, 44, 324, 623, 7500, 2976, 26, 671, 476, 711, 400, 5081, 280, 2156, 26, 1617, 30, 330, 4506, 1814, 850, 922, 5460, 463, 3310, 31, 42, 683, 400, 5081, 280, 1015, 81, 5379, 26, 1294, 30, 301, 528, 330, 62, 10518, 40038, 950, 447, 463, 11299, 33, 374, 690, 367, 33, 3761, 690, 367, 16245, 31, 34136, 32, 23175, 1425, 528, 330, 62, 10518 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 3, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 4, 4, 3, 4, 3, 4, 4, 3, 4, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 5, 4, 5, 3, 3, 5, 5, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 6, 3, 3, 7, 8, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 5, 6, 6, 5, 5, 7, 9, 3, 3, 7, 6, 6, 8, 8, 7, 2, 2, 3, 3, 3, 7, 7, 6, 6, 9, 10, 9, 10, 9, 8, 8, 8, 3, 3, 4, 5, 4, 4, 4, 6, 2, 2, 3, 3, 3, 4, 3, 3, 3, 5, 9, 10, 9, 10, 9, 8, 8, 8, 6, 6, 7, 7, 5, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 1, 1, 3, 5, 5, 4, 5, 4, 5, 4, 5, 3, 3, 2, 2, 5, 9, 9, 9, 9, 7, 7, 7, 7, 6, 6, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 6, 5, 6, 5, 3, 3, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 7, 8, 7, 7, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 5, 5, 5, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 9, 9, 7, 8, 6, 2, 2, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 6, 8, 8, 8, 8, 2, 2, 3, 5, 5, 5, 5, 6, 5, 5, 5, 3, 3, 5, 10, 10, 12, 12, 12, 8, 8, 10, 5, 5, 5, 7, 11, 11, 12, 12, 11, 7, 7, 10, 10, 16, 17, 16, 16, 18, 18, 15, 14, 13, 12, 14, 14, 14, 14, 8, 8, 10, 10, 12, 12, 12, 13, 12, 12, 13, 13, 16, 16, 16, 16, 14, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 13, 13, 16, 16 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 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, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 0, 5, 5, 0, 0, 1, 2, 2, 2, 5, 5, 0, 0, 6, 6, 0, 0, 1, 2, 2, 2, 6, 6, 0, 0, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 0, 0, 0, 2, 0, 4, 4, 0, 6, 6, 0, 8, 1, 1, 0, 9, 9, 1, 1, 2, 9, 9, 0, 0, 0, 1, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 0, 10, 10, 1, 1, 1, 2, 1, 2, 2, 3, 2, 10, 10, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 3, 1, 3, 3, 3, 0, 4, 4, 2, 2, 2, 3, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 4, 4, 3, 0, 11, 11, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 11, 11, 0, 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 4, 4, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 12, 12, 1, 1, 2, 1, 2, 2, 3, 2, 12, 12, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 5, 5, 0, 2, 2, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 13, 13, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 13, 13, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1 ]
[ 1070, 10245, 1188, 23501, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 1199, 32, 3378, 32, 4151, 1188, 16281, 1908, 2207, 13976, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 10119, 32, 7878, 1188, 21461, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 12079, 1188, 21694, 30, 26911, 203, 823, 3772, 1176, 44, 284, 3502, 81, 8352, 81, 11327, 280, 2933, 284, 665, 622, 81, 1199, 81, 45256, 26, 784, 30, 3387, 711, 291, 442, 428, 784, 32, 1070, 81, 1199, 81, 853, 79, 284, 665, 2192, 81, 1643, 26, 784, 30, 8980, 30, 5552, 30, 2803, 711, 291, 442, 5552, 30, 2803, 203, 823, 21694, 1176, 26, 1761, 1176, 711, 284, 313, 4672, 436, 21694, 2078, 3107, 284, 665, 1156, 1664, 3207, 784, 30, 5951, 81, 3131, 47, 2521, 711, 291, 630, 32, 3768, 81, 3131, 280, 5951, 81, 3131, 284, 665, 645, 81, 1199, 81, 853, 26, 784, 30, 786, 30, 6101, 30, 3387, 30, 1619, 711, 291, 415, 3387, 32, 5905, 32, 1146, 1001, 1421, 81, 2951, 81, 8352, 81, 302, 81, 1693, 101, 461, 786, 610, 40496, 324, 786, 280, 1665, 291, 415, 6937, 26, 853, 30, 23501, 711, 324, 786, 280, 1897, 26, 853, 27, 291, 415, 786, 438, 646, 1665, 461, 630, 32, 3768, 81, 3131, 44, 324, 786, 280, 21694, 14605, 109, 784, 32, 3768, 81, 3131, 44, 786, 1748, 291, 442, 786, 284, 665, 622, 81, 3259, 81, 681, 26, 784, 711, 291, 442, 330, 5572, 1176, 25, 203, 823, 26911, 1176, 26, 1761, 1176, 711, 284, 313, 4672, 436, 26911, 2078, 3107, 284, 665, 1156, 1664, 3207, 784, 30, 7291, 81, 3131, 711, 291, 630, 32, 8018, 81, 3131, 280, 7291, 81, 3131, 284, 665, 645, 81, 1199, 81, 853, 26, 784, 30, 786, 30, 6101, 30, 3387, 30, 1619, 711, 291, 415, 786, 438, 646, 1665, 44, 324, 786, 280, 26911, 14605, 109, 784, 32, 8018, 81, 3131, 44, 786, 1748, 291, 442, 786, 284, 665, 622, 81, 3259, 81, 681, 26, 784, 711, 291, 442, 330, 8457, 1176, 25, 203, 823, 7187, 418, 1176, 26, 10632, 1908, 2207, 13976, 30, 3772, 1176, 711, 284, 19816, 81, 681, 280, 1665, 284, 665, 645, 81, 1199, 81, 853, 26, 784, 30, 786, 30, 6101, 30, 3387, 30, 1619, 711, 291, 415, 786, 438, 646, 1665, 44, 324, 786, 280, 21461, 26, 853, 27, 291, 442, 786, 284, 665, 622, 81, 3259, 81, 681, 26, 784, 711, 291, 442, 330, 9518, 1176, 25, 203, 823, 570, 1679, 1176, 26, 1761, 1176, 711, 284, 665, 622, 81, 3259, 81, 681, 26, 784, 711, 291, 442, 330, 57, 1679, 1176, 25, 284, 665, 645, 81, 1199, 81, 853, 26, 784, 30, 786, 30, 6101, 30, 3387, 30, 1619, 711, 291, 442, 786, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 5, 5, 8, 8, 4, 4, 5, 7, 8, 7, 7, 7, 5, 5, 8, 8, 10, 11, 10, 4, 4, 5, 7, 7, 7, 6, 6, 7, 8, 8, 8, 5, 5, 5, 8, 8, 10, 12, 15, 14, 15, 15, 15, 13, 13, 12, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 5, 5, 5, 8, 8, 10, 12, 15, 14, 15, 15, 15, 13, 13, 12, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 1, 8, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 3, 3, 0, 4, 4, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 4, 4, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 3, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 2, 0, 6, 6, 1, 2, 1, 1, 2, 6, 6, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 2, 0, 7, 7, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 2, 7, 7, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 8, 8, 1, 1, 2, 1, 1, 2, 8, 8, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 465, 6234, 203, 1070, 13363, 754, 32, 102, 38200, 1188, 25103, 30, 3523, 203, 1070, 13363, 754, 32, 102, 38200, 32, 9613, 101, 1188, 1695, 203, 3602, 280, 5741, 32, 10579, 440, 102, 38200, 32, 8304, 657, 203, 823, 16289, 3135, 26, 2848, 32, 1761, 3135, 711, 284, 665, 3240, 81, 1436, 26, 784, 30, 3124, 30, 8616, 47, 1815, 30, 5298, 47, 2700, 711, 291, 630, 32, 4531, 32, 2714, 81, 2423, 26, 2076, 30, 5298, 27, 284, 665, 544, 81, 1436, 26, 784, 30, 3124, 711, 291, 630, 32, 3781, 32, 267, 81, 1436, 26, 2076, 27, 203, 823, 16289, 19443, 9998, 26, 19681, 32, 32723, 4624, 19443, 1972, 30, 1695, 32, 1761, 9998, 13976, 711, 284, 636, 280, 330, 1294, 19681, 25, 284, 665, 7379, 26, 784, 30, 2145, 711, 291, 630, 32, 1786, 280, 2145, 291, 630, 32, 2848, 280, 1665, 291, 630, 32, 2480, 280, 2933, 284, 665, 2156, 26, 784, 711, 291, 630, 32, 1786, 32, 5136, 32, 267, 81, 3781, 81, 27800, 346, 291, 415, 630, 32, 1786, 32, 3550, 710, 5820, 81, 96, 25629, 12132, 324, 630, 32, 2238, 32, 4817, 32, 470, 46989, 26, 4817, 32, 18634, 81, 12364, 30, 6234, 32, 12364, 81, 9179, 9659, 30, 225, 35, 27, 291, 630, 32, 2848, 280, 16289, 3135, 26, 784, 32, 1786, 32, 371, 81, 3841, 81, 823, 1026, 630, 32, 1786, 27, 291, 630, 32, 2848, 32, 470, 81, 4531, 26, 784, 27, 291, 630, 32, 2848, 32, 6967, 81, 1293, 346, 284, 665, 617, 18723, 26, 784, 711, 291, 415, 630, 32, 2848, 438, 646, 1665, 44, 324, 630, 32, 2848, 32, 2546, 81, 4531, 26, 784, 27, 324, 630, 32, 2848, 280, 1665, 284, 665, 544, 81, 1436, 26, 784, 30, 1474, 711, 291, 415, 646, 1474, 556, 646, 630, 32, 2848, 44, 324, 442, 291, 1596, 44, 324, 630, 32, 2848, 32, 267, 81, 1436, 26, 1436, 27, 291, 2940, 3268, 44, 324, 5776, 32, 3893, 463, 6189, 19443, 683, 324, 630, 32, 17862, 81, 3841, 346, 284, 665, 544, 81, 2679, 26, 784, 711, 291, 415, 630, 32, 2848, 438, 646, 1665, 44, 324, 630, 32, 1786, 32, 5136, 32, 267, 81, 3781, 81, 10687, 346, 324, 3523, 280, 630, 32, 2848, 324, 630, 1114, 18723, 346, 324, 3523, 32, 2679, 346, 284, 665, 3240, 81, 2423, 26, 784, 30, 1474, 30, 5298, 47, 2700, 711, 291, 1596, 44, 324, 630, 32, 1821, 81, 1436, 26, 1436, 30, 5298, 27, 291, 2940, 45338, 44, 324, 630, 32, 1786, 32, 716, 81, 5837, 32, 669, 81, 4383, 26, 784, 32, 267, 81, 2679, 27, 284, 665, 3523, 81, 10687, 26, 784, 711, 291, 1596, 44, 324, 630, 32, 2679, 346, 291, 2940, 45338, 44, 324, 3097, 291, 8295, 44, 324, 630, 1114, 18723, 346, 284, 665, 2608, 81, 16140, 41, 40, 26, 784, 711, 291, 442, 2933, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 4, 2, 2, 3, 4, 4, 4, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 8, 9, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 8, 9, 7, 8, 6, 8, 8, 8, 8, 8, 5, 5, 11, 12, 10, 11, 9, 10, 10, 9, 11, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 11, 9, 9, 10, 9, 4, 4, 7, 8, 6, 6, 8, 8, 12, 11, 12, 10, 11, 11, 11, 11, 11, 10, 8, 9, 10, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 6, 5, 5, 5, 10, 11, 9, 10, 10, 10, 9, 10, 9, 6, 6, 9, 10, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 6, 6, 7, 8, 9, 5, 5, 5, 4, 4, 5, 5, 5, 10, 11, 9, 10, 10, 10, 9, 10, 9, 5, 5, 6, 6, 6, 6, 10, 11, 10, 12, 12, 12, 7, 7, 10, 11, 11, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 6, 5, 5, 5, 11, 12, 10, 11, 9, 10, 10, 10, 10, 10, 9, 6, 6, 8, 8, 9, 10, 6, 6, 9, 10, 9, 6, 6, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 9, 9, 5, 5, 6, 6, 6, 6, 12, 13, 11, 12, 12, 12, 10, 11, 11, 11, 10, 12, 11, 12, 12, 12, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 10, 9, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 2, 1, 4, 4, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 2, 0, 1, 2, 2, 2, 5, 5, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 6, 6, 0, 0, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 1, 5, 1, 4, 4, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 0, 0, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 4, 4, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 2, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 2, 2, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 6, 6, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 4, 0, 2, 1, 4, 4, 8, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 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, 30, 1459, 81, 1126, 30, 20654, 203, 465, 5741, 203, 751, 280, 5741, 32, 10579, 440, 24802, 657, 203, 2040, 81, 978, 105, 1237, 280, 3177, 203, 1270, 44, 284, 1188, 3619, 105, 1237, 284, 1401, 81, 978, 105, 1237, 280, 2933, 203, 7343, 44, 284, 1245, 32, 731, 463, 924, 7742, 4253, 3619, 105, 1237, 32, 13392, 646, 2431, 11834, 203, 589, 2093, 16904, 30830, 81, 452, 81, 3308, 1871, 352, 26, 88, 711, 284, 442, 308, 410, 26, 88, 27, 429, 225, 37, 36, 27, 517, 225, 35, 32, 42, 203, 589, 2016, 81, 24802, 26, 2195, 30, 1256, 30, 3826, 30, 2181, 711, 284, 415, 646, 1401, 81, 978, 105, 1237, 44, 291, 442, 284, 1056, 81, 2665, 280, 3619, 105, 1237, 32, 371, 81, 15859, 81, 1070, 81, 23643, 26, 1132, 27, 284, 415, 646, 1169, 26, 1267, 81, 2665, 32, 2810, 22805, 291, 7361, 32, 18554, 26, 3237, 30, 330, 6876, 3894, 683, 291, 442, 284, 665, 2179, 81, 3368, 26, 3368, 711, 291, 442, 308, 103, 21735, 101, 44, 904, 101, 10027, 32, 34, 88, 23767, 53, 9708, 32, 34, 88, 23767, 53, 9905, 904, 308, 3368, 710, 3368, 81, 1028, 81, 9892, 2188, 1014, 5808, 710, 4742, 2188, 1014, 2093, 16904, 30830, 81, 452, 81, 3308, 1871, 352, 26, 3368, 710, 741, 16578, 1014, 2093, 16904, 30830, 81, 452, 81, 3308, 1871, 352, 26, 3368, 710, 4363, 785, 2610, 284, 7592, 466, 280, 1044, 21735, 101, 44, 330, 904, 308, 1267, 81, 2665, 710, 24802, 81, 11722, 4902, 5702, 3490, 284, 7592, 466, 1454, 1044, 392, 4939, 2524, 26, 1643, 81, 3368, 26, 3368, 27, 436, 5808, 328, 1056, 81, 2665, 710, 24802, 101, 3490, 284, 7361, 32, 18554, 26, 3237, 30, 7592, 466, 32, 4434, 463, 3310, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 8, 8, 9, 8, 6, 6, 7, 7, 5, 4, 4, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 5, 5, 5, 5, 3, 3, 3, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 2, 2, 3, 4, 6, 9, 9, 9, 8, 9, 8, 3, 3, 7, 8, 7, 8, 7, 7, 9, 9, 9, 4, 4, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 9, 11, 11, 11, 11, 11, 9, 8, 10, 9, 11, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 11, 13, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 11, 13, 13, 8, 2, 5, 5, 4, 4, 7, 7, 7, 7, 5, 5, 9, 9, 9, 8, 10, 10, 10, 7, 9, 7, 2, 5, 5, 4, 4, 8, 8, 7, 7, 8, 8, 8, 8, 9, 9, 7, 8, 7, 9, 9, 9, 8, 10, 10, 8, 2, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 7, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 4, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 1, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 3, 1, 1, 3, 4, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 48885, 38, 1188, 10701, 2852, 30, 34031, 203, 589, 2179, 308, 1489, 30, 1418, 1057, 7831, 284, 2179, 280, 34031, 32, 67, 1031, 2659, 2207, 346, 284, 2179, 32, 47145, 26, 32110, 26, 30609, 32, 9071, 30, 1963, 490, 284, 415, 330, 8570, 25, 328, 1418, 44, 291, 2179, 32, 21643, 7583, 26, 37571, 32, 67, 3713, 32, 16835, 27, 284, 415, 330, 20341, 25, 328, 1418, 44, 291, 2179, 32, 21643, 34136, 26, 1815, 27, 284, 442, 2179, 203, 823, 44025, 265, 308, 37571, 32, 67, 6647, 13360, 265, 711, 284, 665, 1156, 1664, 505, 308, 784, 30, 1825, 711, 291, 2599, 26, 13360, 265, 30, 630, 14585, 1664, 3207, 2812, 27, 291, 630, 32, 7004, 280, 1605, 291, 630, 32, 3481, 280, 2149, 284, 665, 8839, 2227, 26, 784, 30, 1344, 711, 291, 436, 6101, 30, 2179, 328, 630, 32, 7004, 44, 324, 1650, 280, 6101, 32, 1055, 383, 26, 878, 27, 324, 2218, 1650, 2377, 225, 34, 44, 400, 3104, 280, 6101, 32, 16317, 2380, 346, 400, 630, 32, 470, 2207, 26, 1055, 30, 3104, 30, 2179, 27, 400, 1650, 280, 6101, 32, 1055, 383, 26, 878, 30, 1650, 474, 3104, 27, 291, 630, 32, 28153, 30531, 26, 34, 27, 284, 665, 1015, 3842, 308, 784, 30, 5257, 30, 1418, 711, 291, 630, 32, 7004, 32, 1689, 1162, 30609, 32, 67, 28258, 26, 5607, 471, 630, 32, 3481, 77, 1621, 5259, 203, 823, 12491, 13360, 265, 308, 13360, 265, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1825, 711, 291, 2599, 26, 4397, 13360, 265, 30, 630, 14585, 1664, 3207, 2812, 27, 291, 630, 32, 3481, 32, 1877, 1371, 324, 330, 7317, 950, 2179, 463, 7509, 8990, 1425, 324, 330, 4890, 950, 2179, 463, 7509, 14863, 1425, 324, 330, 3647, 950, 2179, 463, 7509, 31257, 1425, 324, 330, 800, 950, 2179, 463, 7509, 63, 27302, 1425, 291, 1790, 291, 436, 2834, 328, 2726, 2039, 370, 48401, 4145, 19, 48113, 83, 31, 15188, 31, 76, 34, 31, 43, 81, 6155, 7831, 324, 630, 32, 669, 3842, 26, 1582, 30, 330, 7317, 683, 291, 630, 32, 669, 3842, 26, 100, 7646, 84, 77, 51, 31, 21948, 31, 108, 34, 31, 43, 81, 6155, 12390, 12194, 101, 18899, 47, 5715, 330, 4890, 683, 291, 630, 32, 669, 3842, 26, 100, 7362, 12456, 20, 1736, 6603, 26, 25888, 12456, 20, 1736, 38131, 28, 21684, 330, 800, 683, 291, 630, 32, 669, 3842, 26, 100, 14891, 12456, 25, 1736, 6603, 26, 25888, 12456, 25, 1736, 38131, 28, 13042, 330, 800, 683, 291, 630, 32, 669, 3842, 26, 100, 20, 2904, 12456, 48, 6603, 4289, 392, 330, 3647, 683, 203, 6441, 13360, 265, 280, 12491, 13360, 265, 203, 823, 701, 91, 13360, 265, 308, 13360, 265, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1825, 711, 291, 2599, 26, 34668, 13360, 265, 30, 630, 14585, 1664, 3207, 2812, 27, 291, 630, 32, 3481, 32, 1877, 1371, 324, 330, 1906, 950, 2179, 463, 7509, 8990, 1425, 324, 330, 2433, 950, 2179, 463, 7509, 14863, 1425, 324, 330, 3647, 950, 2179, 463, 7509, 31257, 1425, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 1, 3, 2, 2, 3, 5, 1, 1, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 6, 5, 7, 7, 9, 8, 9, 7, 7, 7, 2, 2, 3, 6, 6, 4, 4, 3, 3, 3, 7, 8, 8, 7, 10, 9, 10, 10, 8, 9, 7, 2, 2, 3, 6, 6, 4, 4, 3, 3, 3, 7, 8, 8, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 1, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 3, 5, 4, 4, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 6, 7, 5, 5, 5, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 7, 8, 8, 9, 7, 7, 7, 10, 10, 12, 13, 13, 12, 8, 8, 11, 12, 12, 11, 12, 11, 11, 11, 11, 11, 8, 8, 10, 10, 12, 13, 13, 12, 13, 12, 12, 13, 13, 12, 4, 4, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 11, 10, 11, 11, 10, 11, 10, 8, 10, 11, 9, 10, 9, 0, 1, 1, 2, 2, 1, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 7, 8, 8, 11, 11, 9, 11, 13, 13, 13, 8, 8, 11, 11, 9, 11, 13, 13, 13, 8, 8, 11, 11, 9, 11, 13, 13, 13, 8, 8, 11, 11, 9, 11, 13, 13, 13, 13, 8, 8, 4, 4, 5, 5, 5, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 9, 10, 10, 9, 10, 9, 9, 11, 11, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 0, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 1, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 7, 8, 8, 11, 11, 9, 11, 13, 13, 13, 8, 8, 11, 11, 9, 11, 13, 13, 13, 8, 8, 11, 11, 9, 11, 13, 13, 13, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 3, 1, 2, 1, 1, 3, 3, 3, 0, 2, 2, 1, 1, 1, 4, 4, 4, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 3, 2, 3, 0, 3, 3, 1, 1, 3, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 1, 1, 1, 2, 7, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 2, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 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, 4, 4, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 5, 5, 1, 1, 1, 5, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 465, 17787, 203, 465, 5237, 203, 465, 27374, 203, 1070, 17787, 1188, 3366, 81, 7416, 12896, 30, 3366, 81, 7416, 27162, 69, 203, 465, 5601, 203, 465, 316, 203, 1070, 18105, 612, 1188, 2488, 203, 1070, 617, 12408, 32, 8524, 1188, 617, 5177, 36, 30, 617, 5177, 37, 30, 19430, 37, 39, 30, 10061, 81, 466, 203, 1070, 18792, 1188, 1344, 81, 681, 203, 465, 3619, 203, 14842, 81, 13707, 280, 26542, 203, 325, 617, 5177, 37, 44, 284, 645, 27374, 1188, 2179, 81, 3893, 81, 2585, 203, 1824, 44, 284, 645, 31863, 978, 36, 35382, 1188, 2179, 81, 3893, 81, 2585, 203, 823, 4402, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5081, 687, 711, 291, 415, 646, 19326, 26, 1294, 687, 30, 313, 331, 81, 3607, 10280, 324, 5081, 687, 280, 3226, 359, 812, 687, 26, 1294, 687, 27, 291, 1596, 44, 324, 630, 32, 3607, 280, 5081, 687, 32, 331, 81, 3607, 324, 630, 32, 2232, 12300, 280, 5081, 687, 32, 331, 81, 2232, 12300, 429, 225, 35, 324, 630, 32, 426, 280, 5081, 687, 32, 331, 81, 426, 291, 2940, 29316, 44, 324, 3636, 12678, 440, 1206, 312, 1340, 1300, 44, 904, 100, 20, 904, 308, 1294, 687, 33702, 291, 630, 32, 1294, 280, 5081, 687, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 442, 630, 32, 1294, 610, 1604, 32, 1294, 284, 1156, 2888, 505, 280, 1665, 284, 665, 1156, 941, 3207, 784, 30, 1604, 711, 291, 442, 646, 630, 610, 1604, 284, 477, 2433, 284, 665, 1519, 26, 784, 711, 291, 1596, 44, 324, 298, 280, 3619, 32, 983, 32, 1696, 26, 784, 32, 1294, 32, 331, 81, 3607, 27, 324, 415, 646, 298, 32, 1553, 2262, 400, 3636, 546, 21887, 440, 978, 32, 983, 1505, 3803, 7144, 291, 2940, 546, 21887, 44, 324, 298, 280, 630, 32, 1294, 32, 331, 81, 3607, 291, 442, 298, 284, 477, 2433, 284, 665, 3536, 1855, 26, 784, 711, 291, 645, 617, 12408, 1114, 687, 1188, 1914, 291, 3536, 30, 617, 280, 1914, 32, 1809, 1855, 26, 784, 32, 1294, 27, 291, 442, 3536, 284, 665, 1914, 26, 784, 711, 291, 1188, 617, 12408, 1114, 687, 291, 442, 617, 12408, 1114, 687, 32, 2028, 26, 784, 32, 1294, 27, 284, 665, 622, 1132, 26, 784, 30, 773, 47, 2700, 711, 291, 5081, 280, 630, 32, 1294, 291, 1638, 998, 280, 5081, 32, 331, 81, 626, 998, 291, 415, 773, 44, 324, 1638, 998, 1454, 5081, 32, 331, 81, 4545, 549, 3366, 81, 7416, 12896, 324, 1638, 998, 1454, 5081, 32, 331, 81, 4545, 549, 3366, 81, 7416, 27162, 69, 291, 442, 5081, 32, 331, 81, 869, 4243, 2867, 626, 998, 79, 203, 823, 7181, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3118, 711, 291, 630, 32, 12300, 280, 3118, 32, 88, 81, 12300, 429, 225, 35, 291, 630, 32, 88, 81, 19981, 280, 3118, 32, 88, 81, 19981, 291, 630, 32, 88, 81, 22457, 280, 3118, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 3, 3, 3, 5, 5, 5, 5, 1, 2, 2, 2, 2, 4, 7, 7, 7, 4, 4, 6, 6, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 6, 8, 9, 9, 8, 8, 10, 10, 10, 10, 5, 5, 9, 8, 8, 10, 10, 10, 10, 11, 11, 10, 4, 4, 5, 5, 5, 9, 10, 8, 8, 10, 9, 10, 10, 10, 6, 6, 9, 10, 10, 8, 8, 11, 10, 11, 11, 11, 11, 9, 9, 10, 6, 6, 9, 10, 8, 8, 10, 9, 10, 10, 10, 5, 5, 6, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 12, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 7, 8, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 6, 6, 9, 9, 12, 13, 11, 12, 11, 14, 13, 14, 12, 13, 13, 13, 11, 7, 7, 8, 9, 11, 12, 11, 8, 8, 10, 12, 12, 14, 14, 14, 14, 14, 14, 6, 6, 7, 8, 7, 7, 7, 10, 10, 12, 13, 11, 12, 12, 12, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 8, 7, 8, 6, 6, 5, 5, 8, 8, 7, 7, 9, 10, 10, 9, 11, 10, 11, 9, 5, 5, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 6, 7, 4, 4, 5, 9, 8, 9, 7, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 7, 8, 4, 4, 7, 6, 6, 7, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 9, 8, 8, 10, 11, 11, 11, 9, 9, 10, 10, 10, 6, 6, 9, 8, 8, 10, 11, 11, 11, 9, 9, 10, 10, 10, 10, 4, 4, 5, 7, 8, 8, 8, 8, 6, 8, 8, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 7, 7, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 12, 12, 1, 1, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 12, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 13, 2, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 4, 4, 1, 5, 5, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 4, 4, 6, 2, 1, 2, 6, 6, 0, 0, 1, 2, 4, 4, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 7, 1, 2, 1, 2, 2, 3, 2, 2, 7, 7, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 14, 14, 2, 1, 2, 14, 14, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2 ]
[ 9592, 1572, 436, 47412, 32, 203, 6873, 544, 22738, 225, 35, 39, 30, 225, 36, 34, 35, 37, 203, 50, 2116, 44, 31719, 488, 604, 268, 203, 9592, 203, 465, 5237, 203, 465, 17787, 203, 1070, 11550, 32, 35312, 32, 18047, 81, 16397, 32, 3378, 1188, 23015, 7085, 30, 6061, 1120, 203, 1070, 11550, 32, 12035, 32, 11383, 3365, 81, 5248, 32, 3378, 1188, 13392, 1151, 30, 13392, 1711, 203, 1070, 11550, 32, 12035, 32, 11383, 3365, 81, 7177, 32, 3378, 1188, 27994, 2656, 30, 27994, 1151, 30, 27994, 1711, 203, 2176, 3349, 30, 617, 758, 30, 617, 3908, 30, 617, 6373, 30, 617, 7347, 27, 280, 2726, 363, 370, 330, 271, 370, 330, 1206, 370, 330, 1815, 370, 330, 2700, 683, 203, 589, 9967, 81, 48423, 26, 48423, 30, 1256, 711, 284, 41272, 81, 29718, 280, 3447, 1815, 563, 2933, 30, 313, 2700, 563, 3177, 30, 313, 496, 563, 1256, 111, 284, 41272, 81, 29718, 32, 1877, 26, 371, 81, 3840, 81, 48423, 1157, 284, 41272, 81, 29718, 32, 1877, 26, 371, 81, 18047, 81, 48423, 1157, 284, 41272, 81, 29718, 32, 1877, 26, 371, 81, 11383, 3365, 81, 48423, 1157, 284, 436, 1202, 328, 41272, 81, 29718, 44, 291, 415, 5461, 101, 440, 904, 1202, 328, 47412, 44, 324, 47412, 280, 47412, 32, 3227, 4912, 101, 440, 904, 1202, 30, 5461, 101, 26, 496, 2360, 904, 1202, 27, 284, 442, 9967, 26, 48423, 30, 3447, 505, 26354, 18018, 1665, 835, 41272, 81, 29718, 27, 203, 589, 9967, 81, 1066, 81, 24454, 81, 48423, 26, 48423, 30, 1256, 30, 19867, 81, 7794, 711, 284, 41272, 81, 29718, 280, 3447, 1815, 563, 2933, 30, 313, 2700, 563, 3177, 30, 313, 496, 563, 1256, 111, 284, 41272, 81, 29718, 32, 1877, 26, 371, 81, 11383, 3365, 81, 24454, 81, 48423, 1157, 284, 436, 1202, 328, 41272, 81, 29718, 44, 291, 415, 5461, 101, 440, 904, 1202, 328, 47412, 44, 324, 47412, 280, 47412, 32, 3227, 4912, 101, 440, 904, 1202, 30, 5461, 101, 15339, 101, 370, 313, 904, 308, 678, 30, 19867, 81, 7794, 490, 284, 41272, 81, 29718, 32, 1877, 26, 371, 81, 3840, 81, 24454, 81, 48423, 1157, 284, 41272, 81, 29718, 32, 1877, 26, 371, 81, 18047, 81, 24454, 81, 48423, 1157, 284, 436, 1202, 328, 41272, 81, 29718, 44, 291, 415, 5461, 101, 440, 904, 1202, 328, 47412, 44, 324, 47412, 280, 47412, 32, 3227, 4912, 101, 440, 904, 1202, 30, 5461, 101, 26, 496, 2360, 904, 1202, 27, 284, 442, 9967, 26, 48423, 30, 3447, 505, 26354, 18018, 1665, 835, 41272, 81, 29718, 27, 203, 589, 622, 81, 1141, 81, 7794, 101, 26, 16140, 711, 284, 2152, 280, 622, 81, 5248, 81, 1141, 81, 7794, 101, 346, 284, 436, 2125, 328, 27994, 1711, 32, 5740, 32, 2029, 26, 16140, 47, 16140, 711, 291, 415, 2125, 32, 7794, 646, 328, 2152, 44, 324, 2152, 32, 1689, 26, 1141, 32, 7794, 27, 284, 442, 8594, 26, 2094, 27, 203, 589, 622, 81, 1141, 81, 2516, 2262, 284, 442, 2726, 6891, 370, 330, 3375, 469, 370, 330, 1567, 683, 203, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 8, 8, 6, 5, 5, 8, 8, 6, 5, 5, 8, 8, 6, 5, 2, 2, 6, 6, 5, 6, 5, 7, 7, 7, 7, 7, 7, 2, 2, 6, 6, 5, 6, 5, 7, 7, 7, 7, 7, 7, 2, 2, 6, 6, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 5, 9, 9, 7, 7, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 13, 13, 11, 11, 10, 10, 13, 13, 13, 13, 11, 11, 10, 2, 2, 3, 5, 6, 5, 5, 9, 9, 9, 7, 6, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 8, 8, 6, 5, 5, 8, 8, 6, 5, 5, 8, 8, 6, 5, 2, 2, 6, 6, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 5, 9, 9, 7, 7, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 13, 13, 11, 11, 10, 10, 13, 13, 13, 13, 13, 11, 11, 13, 12, 12, 13, 13, 12, 2, 2, 6, 6, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 6, 6, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 5, 9, 9, 7, 7, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 13, 13, 11, 11, 10, 10, 13, 13, 13, 13, 11, 11, 10, 2, 2, 3, 5, 6, 5, 5, 9, 9, 9, 7, 6, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 3, 3, 7, 6, 7, 5, 6, 5, 7, 6, 7, 5, 3, 3, 5, 7, 8, 6, 6, 6, 5, 5, 5, 9, 10, 9, 11, 10, 11, 9, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 6, 6, 4, 6, 6, 6, 4, 6, 6, 0, 1 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 4, 1, 6, 3, 3, 0, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 1, 6, 4, 4, 0, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 4, 4, 4, 1, 6, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 1, 0, 0, 3, 0, 0, 5, 0, 0, 7, 0, 0, 9, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 7, 7, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 5, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 8, 8, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 2, 2, 2, 3, 3, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 5, 5, 5, 3, 3, 5, 5, 5, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 5, 1, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 10, 10, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 11 ]
[ 1070, 21035, 81, 8231, 81, 1439, 823, 1188, 22774, 8536, 203, 465, 33664, 203, 1070, 323, 581, 36, 81, 32118, 32, 2076, 1188, 319, 203, 465, 1673, 81, 12524, 81, 7676, 203, 1070, 1230, 81, 12617, 32, 2076, 1188, 8174, 40, 38, 203, 1070, 1230, 81, 12617, 32, 2076, 1188, 2854, 42, 203, 823, 8107, 81, 325, 47354, 1337, 2950, 81, 1206, 5813, 26, 17671, 8536, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5707, 81, 1172, 711, 291, 630, 32, 1001, 468, 81, 668, 280, 2107, 1001, 468, 785, 291, 630, 32, 1526, 468, 81, 668, 280, 2107, 6485, 1195, 13774, 805, 785, 291, 793, 81, 4485, 81, 1003, 280, 33664, 32, 371, 81, 753, 3247, 539, 81, 4485, 81, 1003, 683, 291, 415, 646, 793, 81, 4485, 81, 1003, 44, 400, 33664, 32, 470, 81, 753, 3247, 539, 81, 4485, 81, 1003, 370, 1815, 27, 400, 1459, 313, 539, 81, 4485, 81, 1003, 5372, 372, 2933, 20, 291, 630, 32, 70, 280, 225, 37, 1659, 202, 290, 12813, 32, 16678, 440, 18184, 81, 28771, 392, 21390, 30, 630, 32, 90, 81, 28771, 81, 4383, 27, 203, 202, 290, 12813, 32, 16678, 440, 43867, 81, 297, 81, 1253, 392, 2854, 42, 30, 630, 32, 37737, 2950, 81, 4383, 27, 291, 630, 32, 90, 81, 2584, 280, 225, 34, 291, 630, 32, 37737, 2950, 280, 225, 34, 291, 630, 32, 27381, 280, 225, 34, 291, 630, 32, 1473, 81, 266, 81, 10530, 81, 4668, 280, 225, 35, 4456, 2599, 26, 2210, 81, 27381, 383, 1043, 30, 784, 14585, 1664, 3207, 5707, 81, 1172, 27, 3701, 665, 1406, 468, 26, 784, 711, 291, 1673, 280, 1673, 81, 12524, 81, 7676, 32, 1553, 463, 1473, 81, 1204, 1195, 14565, 36, 403, 1873, 81, 105, 11574, 81, 5636, 81, 1204, 683, 291, 2830, 81, 266, 81, 17251, 81, 4668, 280, 1673, 10040, 34, 32, 35, 291, 415, 630, 32, 90, 81, 2584, 379, 35, 461, 308, 1206, 630, 32, 37737, 2950, 27, 461, 2830, 81, 266, 81, 17251, 81, 4668, 44, 400, 630, 32, 102, 81, 6485, 2130, 280, 33664, 32, 371, 81, 1003, 346, 400, 630, 32, 1473, 81, 4668, 280, 225, 35, 8982, 630, 32, 27381, 280, 225, 34, 4512, 202, 601, 225, 35, 291, 813, 44, 357, 202, 601, 225, 34, 284, 665, 11977, 26, 784, 711, 291, 2464, 280, 33664, 32, 371, 81, 1003, 346, 291, 415, 2464, 31, 784, 32, 102, 81, 6485, 2130, 7148, 784, 32, 70, 44, 400, 442, 225, 35, 291, 813, 44, 400, 442, 225, 34, 284, 665, 9125, 805, 26, 784, 711, 291, 1673, 280, 1673, 81, 12524, 81, 7676, 32, 1553, 463, 1473, 1195, 14565, 36, 403, 1873, 81, 105, 11574, 81, 5636, 81, 1204, 683, 203, 202, 325, 1673, 10040, 34, 32, 35, 44, 22019, 202, 290, 12813, 32, 751, 1338, 463, 2303, 21035, 683, 400, 442, 225, 35, 203, 202, 1824, 44, 357, 202, 290, 12813, 32, 751, 1338, 463, 28075, 432, 2804, 683, 400, 442, 429, 35, 284, 665, 420, 81, 28771, 81, 4383, 26, 784, 30, 605, 711, 203, 202 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 5, 5, 5, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 7, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 10, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 7, 4, 4, 8, 8, 7, 8, 7, 9, 9, 9, 9, 8, 7, 7, 8, 9, 9, 9, 9, 9, 7, 4, 4, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 8, 7, 7, 8, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 4, 4, 9, 10, 10, 10, 10, 10, 9, 10, 9, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 9, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 5, 9, 10, 10, 10, 8, 9, 7, 7, 9, 9, 10, 11, 11, 8, 6, 6, 7, 7, 7, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 10, 6, 6, 9, 10, 10, 10, 8, 8, 9, 6, 6, 9, 10, 8, 8, 9, 6, 6, 7, 7, 8, 5, 5, 6, 6, 6, 8, 8, 9, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 7, 9, 8, 9, 9, 9, 9, 6, 8, 7, 8, 5, 5, 5, 7, 8, 5, 5, 6, 6, 6, 8, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 9, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 6, 7, 7, 7, 5, 5, 5, 10, 10, 9, 10, 10, 9, 11, 11, 11, 6, 6, 7, 8, 5, 5, 6, 6, 6, 6, 11, 11, 10, 11, 11, 10, 12, 12, 12, 12, 7, 7, 8, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 3, 3, 3, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 3, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 1, 1, 5, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 5, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 0, 0, 2, 3, 3, 0, 2, 0, 0, 2, 3, 3, 3, 3, 1, 2, 2, 4, 4, 4, 0, 0, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 4, 4, 4, 0, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 4, 4, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 3, 2, 4, 4 ]
[ 1216, 4064, 1427, 8223, 203, 433, 203, 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 13134, 1188, 10081, 81, 1160, 30, 15500, 203, 21, 29051, 280, 15500, 32, 944, 81, 29051, 346, 203, 74, 280, 7683, 297, 32, 605, 6894, 499, 36, 79, 225, 588, 75, 280, 7683, 297, 32, 1977, 203, 90, 280, 638, 34, 36, 225, 588, 203, 751, 1582, 280, 10081, 81, 1160, 32, 1335, 5401, 15201, 26, 53, 47, 35, 87, 39, 27, 203, 21, 751, 1582, 32, 4698, 26, 74, 30, 1410, 27, 203, 433, 106, 81, 887, 30, 816, 81, 1449, 280, 1593, 6894, 225, 34, 997, 887, 346, 429, 638, 39, 30, 1593, 6894, 225, 34, 997, 1449, 346, 474, 638, 39, 203, 107, 81, 887, 30, 533, 81, 1449, 280, 1593, 6894, 225, 35, 997, 887, 346, 429, 638, 39, 30, 1593, 6894, 225, 35, 997, 1449, 346, 474, 638, 39, 203, 2369, 30, 9580, 280, 2065, 32, 7174, 3365, 26, 2356, 32, 16251, 26, 106, 81, 887, 30, 816, 81, 1449, 30, 420, 471, 2065, 32, 16251, 26, 107, 81, 887, 30, 533, 81, 1449, 30, 420, 490, 203, 76, 280, 1245, 1582, 32, 9356, 26, 2356, 32, 85, 8850, 2369, 32, 38665, 1026, 9580, 32, 38665, 27944, 203, 21, 76, 280, 2523, 32, 12091, 26, 2369, 32, 3229, 27, 203, 6073, 32, 7630, 26, 35, 30, 37403, 4310, 38, 30, 225, 37, 490, 203, 6073, 32, 98, 1489, 7174, 26, 2369, 30, 9580, 30, 2523, 30, 26685, 47, 6073, 32, 4072, 32, 9913, 3911, 27, 203, 21, 6073, 32, 17808, 26, 74, 6894, 225, 34, 614, 1593, 6894, 225, 35, 614, 281, 47, 75, 30, 6731, 8717, 1057, 93, 370, 26685, 47, 6073, 32, 4072, 32, 9913, 3911, 27, 203, 6073, 32, 16862, 463, 903, 11542, 3104, 683, 203, 6073, 32, 16575, 463, 903, 11542, 1861, 683, 203, 6073, 32, 33019, 26, 2369, 32, 887, 1026, 23634, 32, 1449, 1157, 203, 6073, 32, 28691, 26, 3875, 32, 887, 1026, 9580, 32, 1449, 1157, 203, 6073, 32, 39642, 20268, 203, 6073, 32, 8808, 6758, 20268, 203, 6073, 32, 2245, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 4, 4, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 5, 4, 5, 3, 3, 5, 3, 0, 0, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 3, 3, 0, 0, 0, 3, 3, 2, 2, 5, 5, 4, 5, 5, 5, 4, 6, 5, 6, 6, 6, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 4, 3, 3, 4, 4, 2, 2, 7, 7, 8, 7, 7, 6, 4, 4, 5, 3, 3, 7, 7, 8, 7, 7, 6, 4, 4, 5, 0, 4, 3, 3, 2, 2, 4, 5, 5, 4, 7, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 6, 6, 4, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 6, 6, 0, 3, 2, 2, 5, 4, 5, 4, 7, 6, 7, 7, 8, 7, 8, 7, 5, 7, 8, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 3, 4, 3, 4, 3, 3, 4, 6, 5, 5, 6, 5, 0, 4, 3, 4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 7, 6, 7, 5, 6, 6, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 3, 4, 3, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 0, 4, 3, 4, 3, 6, 5, 6, 5, 3, 5, 6, 5, 0, 4, 3, 4, 3, 6, 5, 6, 5, 3, 5, 6, 5, 0, 4, 3, 4, 3, 0, 4, 3, 4, 4, 3, 0, 4, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 0, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 2, 1, 1, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 4, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 2, 2, 3, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 0, 0, 2, 2, 2, 2, 1, 0, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 203, 6873, 544, 13102, 225, 36, 34, 30, 225, 36, 34, 35, 39, 203, 5753, 9265, 14159, 2497, 12952, 6248, 203, 865, 244, 36462, 4228, 86, 26988, 4471, 46423, 2497, 879, 129, 30300, 40819, 203, 865, 245, 36462, 39822, 2497, 4934, 1211, 265, 4109, 40819, 203, 865, 246, 36462, 4934, 1211, 265, 4109, 48586, 21123, 4934, 1211, 265, 606, 40819, 203, 865, 247, 36462, 4934, 1211, 265, 606, 48586, 21123, 4934, 1211, 265, 26988, 40819, 203, 865, 248, 36462, 4934, 1211, 265, 26988, 16759, 3665, 5773, 40819, 203, 865, 249, 36462, 17646, 203, 50, 2116, 44, 14455, 91, 203, 9592, 203, 465, 22045, 36, 203, 465, 22045, 203, 465, 2361, 203, 465, 598, 94, 1237, 225, 203, 465, 2322, 203, 465, 5237, 203, 465, 22977, 203, 465, 7138, 619, 8793, 203, 823, 4035, 7257, 18342, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3668, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 291, 11610, 280, 8793, 32, 6665, 32, 16003, 346, 291, 11610, 466, 280, 11610, 32, 20834, 4912, 75, 23, 95, 23, 86, 23, 58, 657, 291, 630, 32, 1267, 2976, 280, 3668, 474, 2430, 4295, 23, 101, 15860, 26, 16003, 466, 27, 291, 3097, 284, 665, 1420, 26, 784, 711, 291, 415, 2322, 32, 983, 32, 4658, 26, 784, 32, 1267, 2976, 711, 324, 3097, 291, 813, 44, 324, 2322, 32, 10174, 26, 784, 32, 1267, 2976, 27, 291, 2322, 32, 31015, 26, 784, 32, 1267, 2976, 27, 291, 4125, 280, 598, 94, 1237, 32, 1773, 62, 2554, 346, 291, 5258, 81, 7505, 280, 2933, 291, 2218, 5258, 81, 7505, 438, 2933, 44, 324, 40776, 26988, 31675, 30, 1340, 280, 4125, 32, 371, 4228, 86, 26988, 346, 324, 415, 1340, 610, 225, 36, 34, 34, 44, 400, 1459, 313, 13558, 622, 4228, 26988, 20, 400, 5258, 81, 7505, 280, 3177, 291, 19705, 280, 40776, 26988, 31675, 1365, 3626, 720, 1446, 291, 436, 4181, 31675, 328, 19705, 44, 324, 4181, 779, 280, 596, 26, 3626, 31675, 1365, 3626, 606, 6890, 291, 436, 4181, 31675, 328, 19705, 44, 324, 40776, 81, 3626, 779, 280, 596, 26, 3626, 31675, 1365, 3626, 606, 6890, 324, 29980, 280, 4181, 31675, 1365, 33135, 1446, 324, 3632, 1211, 265, 4109, 280, 630, 32, 371, 4934, 1211, 265, 4109, 26, 33135, 27, 324, 436, 3632, 1211, 265, 558, 328, 3632, 1211, 265, 4109, 44, 400, 3632, 1211, 265, 31675, 30, 1340, 280, 4125, 32, 371, 4934, 1211, 265, 1083, 4934, 1211, 265, 558, 26, 1036, 1211, 265, 558, 47, 1036, 1211, 265, 558, 27, 400, 415, 1340, 863, 225, 36, 34, 34, 44, 528, 1459, 313, 18506, 2290, 3632, 1211, 265, 558, 44, 904, 101, 15860, 26, 1036, 1211, 265, 558, 27, 528, 4036, 400, 1202, 81, 1036, 1211, 265, 558, 280, 3632, 1211, 265, 31675, 32, 3494, 8532, 34, 79, 400, 3632, 1211, 265, 314, 280, 596, 26, 1036, 1211, 265, 31675, 77, 678, 81, 1036, 1211, 265, 558, 11159, 314, 6890, 400, 8616, 31675, 30, 1340, 280, 4125, 32, 371, 4934, 1211, 265, 26988, 26, 1036, 1211 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 4, 4, 1, 2, 2, 2, 2, 1, 1, 4, 4, 5, 3, 3, 3, 7, 7, 10, 8, 9, 9, 9, 9, 9, 9, 9, 12, 11, 11, 11, 11, 11, 8, 4, 4, 7, 10, 10, 9, 10, 10, 10, 9, 9, 4, 4, 7, 7, 9, 9, 8, 9, 10, 10, 10, 10, 4, 4, 4, 4, 8, 7, 8, 8, 6, 10, 10, 10, 10, 10, 5, 2, 2, 3, 3, 4, 4, 3, 3, 3, 5, 8, 9, 8, 8, 8, 7, 9, 9, 9, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 6, 6, 6, 11, 11, 10, 12, 12, 4, 4, 8, 8, 9, 9, 4, 7, 6, 9, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 4, 4, 5, 5, 5, 5, 7, 7, 7, 7, 5, 5, 5, 10, 10, 10, 10, 11, 11, 11, 11, 10, 6, 6, 9, 8, 7, 7, 7, 7, 7, 9, 9, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 10, 10, 11, 4, 4, 4, 4, 7, 8, 8, 8, 8, 9, 9, 9, 4, 6, 6, 5, 6, 6, 5, 5, 5, 5, 5, 9, 9, 8, 12, 4, 4, 4, 5, 5, 6, 6, 5, 5, 9, 9, 9, 9, 8, 8, 10, 12, 12, 12, 13, 13, 6, 6, 9, 9, 8, 10, 10, 11, 11, 11, 11, 11, 6, 6, 9, 9, 8, 8, 11, 11, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 10, 6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 12, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 13, 14, 14, 14, 14, 8, 10, 9, 9, 9, 9, 9, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 8, 8, 8, 8, 8, 8, 11, 10, 14, 14, 14, 14, 13, 11, 8, 8, 8, 8, 8, 8, 11, 11 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 7, 7, 7, 7, 0, 0, 8, 8, 0, 0, 9, 1, 1, 1, 1, 9, 9, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 4, 4, 4, 4, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 4, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 2, 1, 2, 2, 4, 4, 2, 2, 0, 0, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 2, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 4, 1, 1, 6, 3, 3, 6, 6, 6, 6, 6, 0, 0, 0, 0, 4, 4, 4, 7, 7, 3, 3, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 3, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 5, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 2, 1, 2, 5, 5, 5, 5, 5, 5, 0, 0 ]
[ 465, 7138, 203, 465, 1133, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 203, 1070, 3089, 749, 98, 32, 3734, 1188, 3639, 81, 21039, 105, 203, 823, 3639, 81, 3935, 81, 26217, 81, 11930, 81, 1170, 5904, 26, 3734, 81, 21039, 105, 32, 100, 696, 81, 2208, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5564, 30, 12373, 30, 636, 30, 1619, 711, 291, 2599, 26, 3734, 81, 3935, 81, 26217, 81, 11930, 81, 1170, 5904, 30, 630, 14585, 1664, 3207, 2446, 30, 12373, 30, 636, 30, 1619, 47, 1819, 27, 291, 630, 32, 1696, 1819, 32, 1877, 1371, 324, 330, 1003, 950, 1133, 30, 324, 330, 371, 81, 11930, 950, 630, 32, 371, 81, 11930, 30, 324, 330, 371, 81, 46092, 950, 630, 32, 371, 81, 46092, 30, 324, 330, 371, 81, 28407, 81, 14598, 950, 630, 32, 371, 81, 28407, 81, 14598, 30, 324, 330, 371, 81, 2999, 950, 630, 32, 371, 81, 2999, 30, 291, 1790, 291, 630, 32, 1819, 280, 1619, 291, 630, 32, 8152, 46677, 280, 1605, 291, 630, 32, 8152, 46677, 81, 2999, 280, 1605, 291, 630, 32, 2999, 280, 225, 34, 32, 34, 284, 665, 622, 81, 46092, 26, 784, 30, 2234, 711, 291, 1932, 81, 4548, 280, 629, 26, 599, 710, 1366, 81, 770, 8150, 34, 44, 38, 1130, 291, 2401, 81, 4548, 280, 629, 26, 599, 710, 416, 81, 770, 8150, 34, 44, 38, 1130, 291, 1932, 81, 5904, 280, 629, 26, 599, 710, 1366, 81, 770, 8150, 39, 44, 41, 1130, 291, 2401, 81, 5904, 280, 629, 26, 599, 710, 416, 81, 770, 8150, 39, 44, 41, 1130, 291, 1289, 81, 28407, 280, 308, 2135, 81, 4548, 31, 2232, 81, 4548, 27, 319, 225, 35, 36, 474, 2401, 81, 5904, 429, 1932, 81, 5904, 474, 225, 35, 291, 1550, 81, 5904, 280, 1932, 81, 5904, 291, 1550, 81, 4548, 280, 1932, 81, 4548, 291, 345, 15991, 81, 426, 280, 1605, 291, 436, 2385, 328, 2155, 26, 34, 30, 1289, 81, 28407, 711, 324, 345, 280, 7138, 32, 770, 26, 1700, 81, 4548, 30, 1550, 81, 5904, 30, 225, 35, 547, 20834, 15339, 84, 683, 324, 345, 15991, 81, 426, 32, 1689, 26, 95, 27, 324, 630, 32, 8152, 46677, 32, 1689, 26, 466, 26, 1700, 81, 5904, 27, 474, 20514, 474, 596, 26, 1700, 81, 4548, 490, 324, 415, 1550, 81, 5904, 610, 225, 35, 36, 44, 400, 1550, 81, 5904, 280, 225, 34, 400, 1550, 81, 4548, 280, 2401, 81, 4548, 324, 1550, 81, 5904, 280, 1550, 81, 5904, 474, 225, 35, 291, 436, 281, 328, 2155, 26, 34, 30, 308, 35, 36, 31, 1347, 81, 28407, 8531, 324, 345, 15991, 81, 426, 32, 1689, 25416, 324, 630, 32, 8152, 46677, 32, 1689, 25416, 291, 442, 428, 8152, 349, 81, 426, 79, 284, 665, 622, 81, 26217, 26, 784, 30, 2234, 30, 12480, 81, 314, 30, 12480, 81, 26217, 30, 3380, 81, 8152, 46677, 711, 291, 6215, 81, 314, 280, 2234, 32, 371, 463, 3153, 81, 314, 370, 11544, 291, 6215, 81, 314, 280, 6215, 81, 314, 461 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 9, 7, 4, 4, 8, 9, 9, 7, 8, 7, 8, 8, 11, 11, 9, 8, 8, 8, 11, 11, 11, 11, 9, 10, 11, 11, 11, 8, 8, 8, 11, 11, 11, 11, 9, 10, 11, 11, 11, 8, 8, 8, 11, 11, 11, 11, 11, 11, 9, 10, 11, 11, 11, 11, 11, 8, 8, 8, 11, 11, 11, 11, 9, 10, 11, 11, 11, 8, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 11, 10, 12, 12, 12, 12, 11, 10, 11, 9, 4, 4, 7, 7, 6, 6, 8, 11, 10, 12, 12, 12, 12, 11, 10, 11, 9, 4, 4, 7, 7, 6, 6, 8, 11, 10, 12, 12, 12, 12, 11, 10, 11, 9, 4, 4, 7, 7, 6, 6, 8, 11, 10, 12, 12, 12, 12, 11, 10, 11, 9, 4, 4, 7, 7, 6, 6, 13, 13, 13, 12, 13, 13, 13, 11, 10, 10, 11, 11, 9, 9, 10, 10, 8, 8, 9, 9, 7, 7, 8, 4, 4, 7, 7, 6, 6, 7, 7, 4, 4, 7, 7, 6, 6, 7, 7, 4, 4, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 8, 7, 5, 5, 8, 8, 12, 13, 12, 13, 13, 13, 12, 12, 13, 13, 12, 12, 13, 12, 11, 10, 12, 12, 6, 6, 10, 10, 10, 9, 10, 9, 10, 9, 6, 6, 10, 11, 11, 9, 10, 9, 13, 13, 14, 14, 14, 13, 11, 11, 10, 10, 12, 13, 13, 13, 12, 6, 6, 7, 9, 9, 8, 8, 9, 9, 7, 7, 7, 11, 11, 10, 10, 11, 8, 8, 11, 11, 10, 10, 11, 11, 6, 6, 9, 9, 8, 8, 10, 10, 9, 9, 10, 4, 4, 5, 5, 5, 7, 8, 7, 7, 10, 10, 9, 10, 10, 10, 8, 5, 5, 10, 10, 10, 9, 10, 9, 6, 6, 10, 11, 11, 9, 10, 9, 4, 4, 5, 7, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 7, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 9, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 8, 8, 8, 1, 1, 1, 1, 3, 3, 1, 8, 8, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 3, 0, 0, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 9, 9, 9, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 3, 9, 9, 0, 0, 0, 0, 2, 1, 5, 5, 0, 2, 2, 0, 2, 1, 4, 4, 10, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 9, 9, 9, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 1070, 31863, 2682, 1188, 5601, 30, 5414, 203, 50, 5843, 26, 13707, 47, 2700, 30, 20508, 47, 1815, 27, 203, 823, 617, 8652, 7063, 26, 1473, 711, 284, 827, 280, 5601, 346, 284, 665, 1156, 1851, 3207, 784, 30, 1440, 30, 5601, 30, 786, 711, 291, 415, 646, 6937, 26, 853, 30, 630, 32, 681, 711, 324, 3636, 12678, 26, 400, 5335, 109, 426, 8129, 2298, 526, 301, 681, 19, 100, 111, 308, 9294, 301, 853, 19, 100, 111, 688, 438, 312, 313, 400, 10698, 7975, 19, 100, 12665, 20, 400, 638, 1643, 26, 426, 47, 2437, 32, 426, 30, 827, 47, 784, 32, 681, 30, 715, 4648, 47, 853, 3667, 823, 7642, 786, 47, 853, 471, 400, 5601, 30, 630, 32, 681, 30, 786, 30, 324, 829, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 308, 324, 3778, 2386, 81, 1028, 13420, 436, 827, 301, 681, 19, 100, 4872, 20, 324, 638, 1643, 26, 681, 47, 784, 32, 681, 27, 291, 829, 203, 589, 1980, 81, 1028, 26, 681, 711, 284, 442, 617, 8652, 7063, 26, 681, 27, 203, 50, 5843, 26, 13707, 47, 2700, 30, 20508, 47, 1815, 27, 203, 823, 617, 29330, 7063, 26, 1473, 711, 284, 2568, 280, 5601, 346, 284, 665, 1156, 1851, 3207, 784, 30, 1440, 30, 5601, 30, 786, 711, 291, 415, 646, 630, 32, 3337, 32, 27120, 1083, 26, 853, 711, 324, 3636, 12678, 26, 400, 5335, 109, 426, 8129, 2298, 2355, 301, 3337, 19, 100, 111, 1510, 301, 853, 19, 100, 111, 313, 400, 313, 13822, 96, 1330, 3107, 400, 638, 1643, 26, 426, 47, 2437, 32, 426, 30, 2568, 47, 784, 32, 3337, 30, 786, 47, 853, 471, 400, 5601, 30, 630, 32, 3337, 30, 786, 30, 324, 829, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 308, 324, 3778, 48356, 13420, 436, 2568, 301, 3337, 19, 100, 4872, 20, 324, 638, 1643, 26, 3337, 47, 784, 32, 3337, 27, 291, 829, 203, 589, 7367, 26, 3337, 711, 284, 442, 617, 29330, 7063, 26, 3337, 27, 203, 50, 5843, 26, 13707, 47, 2700, 30, 20508, 47, 1815, 27, 203, 823, 617, 7556, 7063, 26, 1473, 711, 284, 13420, 280, 5601, 346, 284, 665, 1156, 1851, 3207, 784, 30, 1440, 30, 5601, 30, 786, 711, 291, 415, 786, 438, 1665, 44, 324, 442, 291, 442, 630, 32, 9885, 26, 2325, 30, 5601, 30, 786, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 308, 324, 3778, 5301, 13420, 436, 301, 681, 111, 556, 1665, 5844, 324, 638, 1643, 26, 681, 47, 13707, 26, 784, 32, 9885, 490, 291, 829, 203, 589, 5302, 26, 9885, 711, 284, 442, 617, 7556, 7063, 26, 9885, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 0, 2, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 5, 5, 7, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 9, 10, 9, 9, 10, 11, 9, 6, 6, 8, 10, 10, 10, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 12, 12, 13, 12, 14, 13, 15, 14, 15, 12, 12, 13, 15, 14, 15, 12, 12, 12, 13, 15, 14, 15, 15, 12, 13, 14, 12, 10, 10, 10, 10, 11, 12, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 9, 11, 10, 12, 11, 12, 9, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 6, 5, 0, 2, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 5, 5, 7, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 10, 11, 9, 10, 10, 9, 10, 9, 6, 6, 8, 10, 10, 10, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 12, 12, 13, 12, 14, 13, 15, 14, 15, 12, 12, 13, 15, 14, 15, 12, 12, 13, 14, 12, 10, 10, 10, 10, 11, 12, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 9, 11, 10, 12, 11, 12, 9, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 5, 6, 5, 0, 2, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 5, 5, 7, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 6, 6, 5, 5, 6, 8, 9, 8, 9, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 9, 11, 10, 12, 12, 14, 13, 14, 12, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 0, 2, 2, 1, 1, 1, 5, 0, 2, 2, 2, 1, 7, 2, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 0, 2, 2, 1, 1, 5, 2, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 5, 5, 2, 1, 2, 5, 5, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 6, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 7, 7, 2, 1, 2, 7, 7, 0, 0, 0, 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 ]
[ 465, 5741, 203, 465, 2322, 203, 465, 22977, 203, 465, 16539, 203, 465, 29590, 203, 465, 20536, 103, 3291, 619, 3920, 203, 1070, 6765, 17594, 32, 3527, 32, 48801, 1188, 45623, 81, 24162, 30, 48923, 81, 20740, 30, 15728, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 14144, 81, 62, 15067, 17475, 280, 3037, 272, 31, 2045, 392, 313, 272, 31, 3924, 392, 313, 286, 31, 852, 392, 313, 307, 31, 940, 392, 313, 2173, 31, 4002, 392, 313, 283, 31, 780, 1446, 203, 5807, 81, 24162, 280, 313, 272, 31, 2045, 20, 203, 20753, 81, 20740, 280, 48923, 81, 20740, 32, 8233, 26, 284, 301, 3060, 32, 7556, 26, 14594, 81, 24162, 30, 1244, 47, 5807, 81, 24162, 711, 3920, 32, 383, 26, 14144, 81, 62, 15067, 17475, 4370, 203, 27, 203, 589, 622, 81, 3483, 26, 31667, 30, 1359, 30, 21067, 81, 1338, 47, 2521, 711, 284, 415, 22977, 32, 7900, 440, 98, 5677, 36, 14097, 657, 438, 1665, 44, 291, 617, 22228, 32, 731, 27449, 98, 5677, 36, 14097, 25, 1597, 646, 2431, 657, 291, 442, 3177, 284, 442, 447, 5677, 2570, 26, 1163, 77, 14594, 81, 24162, 1130, 203, 823, 447, 5677, 2570, 26, 2570, 711, 284, 665, 1156, 1664, 3207, 784, 30, 7275, 711, 291, 630, 1114, 1581, 280, 7275, 291, 630, 32, 426, 280, 313, 66, 5677, 6980, 69, 20, 284, 477, 2433, 284, 665, 1244, 81, 4189, 26, 784, 711, 291, 442, 630, 1114, 1581, 284, 477, 2433, 284, 665, 5420, 81, 11868, 26, 784, 711, 291, 442, 47729, 81, 62, 15067, 17475, 284, 665, 622, 81, 48801, 81, 7365, 26, 784, 30, 1474, 30, 2898, 30, 2075, 47, 2521, 711, 291, 623, 29590, 32, 11049, 24723, 974, 26, 12420, 26328, 18448, 392, 3066, 47, 2700, 27, 619, 3691, 88, 44, 324, 18146, 280, 3691, 88, 32, 426, 291, 4774, 280, 3037, 98, 5677, 36, 14097, 392, 7915, 14097, 392, 18146, 30, 4825, 94, 392, 2898, 30, 1474, 79, 291, 16539, 32, 1851, 26, 3515, 27, 291, 706, 280, 1665, 291, 1596, 44, 324, 623, 2156, 26, 10555, 30, 313, 4506, 657, 619, 20309, 44, 400, 706, 280, 20309, 32, 850, 346, 291, 2940, 546, 21887, 44, 324, 617, 22228, 32, 731, 440, 924, 7667, 372, 1491, 904, 101, 392, 18146, 27, 324, 442, 308, 2521, 30, 1665, 27, 291, 8295, 44, 324, 2322, 32, 2546, 26, 10555, 27, 291, 415, 706, 44, 324, 442, 2884, 18448, 392, 706, 27, 291, 442, 308, 2521, 30, 1665, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 4, 5, 4, 4, 4, 9, 8, 9, 8, 9, 9, 9, 8, 8, 9, 10, 10, 10, 8, 6, 8, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 6, 7, 6, 8, 8, 8, 8, 8, 4, 4, 3, 3, 3, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 2, 2, 3, 5, 5, 5, 7, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 10, 11, 11, 11, 10, 12, 11, 13, 13, 10, 11, 12, 10, 8, 8, 10, 5, 5, 5, 8, 8, 10, 9, 10, 4, 4, 6, 6, 9, 9, 9, 9, 9, 7, 9, 9, 7, 7, 7, 9, 9, 7, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 6, 6, 4, 4, 5, 5, 5, 7, 12, 13, 12, 12, 14, 14, 10, 10, 7, 7, 7, 10, 10, 12, 13, 12, 5, 5, 6, 7, 6, 6, 6, 11, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 10, 10, 7, 7, 8, 10, 9, 9, 9, 5, 5, 6, 6, 6, 10, 11, 10, 11, 10, 4, 4, 5, 5, 5, 5, 7, 10, 10, 8, 8, 4, 4, 5, 7, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 1, 1, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 11, 11, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 3, 1, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 0, 2, 1, 1, 1, 4, 4, 5, 5, 5, 5, 0, 1, 2, 1, 1, 4, 4, 6, 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 ]
[ 465, 5167, 203, 465, 13247, 203, 1070, 5167, 32, 11452, 1188, 20955, 30, 9476, 924, 30, 4808, 924, 203, 465, 2361, 203, 465, 1133, 203, 1070, 273, 38200, 32, 2184, 1188, 2075, 203, 465, 1359, 203, 1070, 225, 332, 81, 4073, 1188, 399, 519, 3703, 203, 823, 22395, 8536, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4082, 47, 2521, 711, 291, 415, 4082, 44, 324, 630, 3667, 4073, 280, 399, 519, 3703, 440, 11606, 16638, 392, 4082, 32, 4073, 81, 1338, 27, 291, 813, 44, 324, 630, 3667, 4073, 280, 399, 519, 3703, 440, 11606, 16638, 657, 291, 630, 32, 5350, 280, 1665, 291, 415, 2075, 32, 8231, 81, 525, 81, 5350, 44, 324, 645, 225, 332, 81, 9353, 81, 8231, 32, 890, 81, 34176, 32, 18150, 32, 525, 81, 5350, 1188, 4688, 8536, 6636, 324, 630, 32, 5350, 280, 4688, 8536, 6636, 26, 784, 3667, 4073, 27, 291, 4348, 2075, 32, 8231, 81, 9558, 81, 5350, 44, 324, 645, 225, 332, 81, 9353, 81, 8231, 32, 890, 81, 34176, 32, 18150, 32, 9558, 81, 5350, 1188, 15922, 8536, 6636, 324, 630, 32, 5350, 280, 15922, 8536, 6636, 26, 784, 3667, 4073, 27, 291, 4348, 2075, 32, 8231, 81, 583, 98, 81, 5350, 44, 324, 645, 225, 332, 81, 9353, 81, 8231, 32, 890, 81, 34176, 32, 18150, 32, 583, 98, 81, 5350, 1188, 475, 5974, 8536, 6636, 324, 630, 32, 5350, 280, 475, 5974, 8536, 6636, 26, 784, 3667, 4073, 27, 284, 665, 11748, 81, 12940, 26, 784, 30, 15124, 81, 314, 30, 2287, 30, 6538, 6593, 35, 711, 291, 442, 630, 32, 5350, 32, 9353, 26, 12940, 81, 314, 30, 12797, 284, 665, 11748, 81, 22821, 81, 1357, 26, 784, 30, 15124, 81, 314, 30, 281, 13960, 47, 2521, 30, 2125, 47, 2521, 30, 5868, 47, 2184, 32, 8231, 81, 496, 81, 5457, 711, 291, 630, 32, 5350, 32, 9353, 81, 22821, 81, 1357, 26, 12940, 81, 314, 30, 281, 13960, 30, 2125, 30, 5868, 27, 284, 665, 11748, 81, 85, 13960, 26, 784, 30, 15124, 81, 314, 30, 281, 13960, 81, 314, 30, 2287, 30, 894, 81, 426, 30, 821, 98, 81, 2171, 30, 6538, 6593, 35, 711, 291, 442, 630, 32, 5350, 32, 9353, 26, 12940, 81, 314, 30, 12797, 284, 665, 11748, 81, 3142, 26, 784, 30, 15124, 81, 314, 30, 2869, 81, 314, 30, 2287, 711, 291, 442, 630, 32, 5350, 32, 9353, 26, 12940, 81, 314, 30, 12797, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 5, 9, 10, 8, 8, 10, 10, 10, 12, 12, 12, 10, 11, 12, 12, 12, 10, 5, 5, 6, 6, 6, 10, 11, 9, 9, 11, 11, 11, 13, 13, 13, 4, 4, 7, 8, 6, 6, 4, 4, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 7, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 9, 8, 9, 9, 9, 7, 7, 9, 9, 6, 6, 9, 10, 8, 8, 10, 10, 10, 12, 11, 12, 10, 5, 5, 6, 7, 8, 8, 8, 8, 8, 6, 6, 6, 8, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 9, 10, 10, 10, 8, 8, 10, 10, 7, 7, 10, 11, 9, 9, 11, 11, 11, 13, 12, 13, 11, 5, 5, 6, 7, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 10, 9, 10, 10, 10, 10, 8, 8, 10, 10, 10, 7, 7, 10, 11, 9, 9, 11, 11, 11, 11, 13, 12, 13, 11, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 7, 4, 3, 3, 5, 8, 9, 7, 8, 7, 8, 8, 8, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 4, 5, 7, 6, 7, 7, 7, 7, 7, 4, 3, 3, 8, 9, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 7, 4, 3, 3, 5, 8, 9, 7, 8, 7, 8, 8, 8, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 7, 8, 8, 8, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 3, 3, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 4, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 3, 3, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 5, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 4, 1, 6, 6, 6, 6, 0, 0, 0, 0, 0, 3, 3, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 0, 5, 2, 2, 2, 7, 2, 2, 2, 9, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 2, 2, 2, 2, 9, 9, 2, 2, 11, 11, 11, 2, 2, 13, 1, 2, 3, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 589, 5950, 720, 26, 4426, 30, 1149, 30, 5202, 26409, 715, 17584, 12483, 78, 96, 264, 5769, 715, 298, 40223, 47, 2521, 30, 715, 2364, 35758, 47, 2521, 711, 334, 11828, 32, 1821, 26, 1001, 35758, 556, 9142, 334, 11828, 32, 1821, 1162, 12637, 556, 330, 42925, 2524, 2009, 4254, 474, 456, 436, 456, 328, 1149, 5259, 334, 11828, 32, 1821, 26, 1526, 35758, 556, 9142, 203, 823, 10057, 1761, 26, 1473, 711, 334, 438, 81, 30035, 280, 3177, 334, 1760, 81, 4254, 280, 4247, 334, 1760, 81, 12420, 280, 4247, 334, 665, 1156, 1664, 3207, 784, 30, 1374, 711, 284, 630, 32, 2285, 280, 1374, 334, 665, 3536, 81, 2445, 81, 426, 26, 784, 711, 284, 12809, 280, 630, 32, 1977, 81, 12420, 284, 4054, 81, 6728, 280, 630, 32, 2285, 32, 371, 463, 2445, 81, 6728, 683, 284, 415, 4054, 81, 6728, 44, 397, 12809, 280, 18491, 474, 4054, 81, 6728, 284, 5202, 280, 630, 32, 2285, 32, 371, 463, 2445, 81, 4254, 370, 630, 32, 1977, 81, 4254, 27, 284, 636, 280, 630, 32, 2285, 710, 1977, 81, 426, 785, 284, 636, 280, 5202, 474, 630, 32, 2285, 32, 371, 463, 2445, 81, 426, 370, 636, 27, 474, 12809, 284, 4054, 81, 1515, 280, 630, 32, 2285, 32, 371, 463, 2445, 81, 1515, 683, 284, 415, 4054, 81, 1515, 44, 397, 636, 280, 2322, 32, 983, 32, 2524, 26, 2445, 81, 1515, 30, 636, 27, 284, 813, 44, 397, 636, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 541, 81, 1515, 30, 636, 27, 284, 442, 636, 334, 665, 2866, 81, 1131, 81, 2536, 26, 784, 30, 11828, 711, 284, 10849, 280, 630, 32, 2285, 32, 371, 463, 11250, 683, 284, 415, 646, 10849, 44, 397, 11828, 32, 1821, 9442, 96, 1131, 81, 2536, 280, 1605, 78, 96, 683, 397, 442, 284, 298, 40223, 280, 3228, 96, 1131, 81, 2536, 280, 22613, 96, 264, 330, 284, 2364, 35758, 280, 5769, 78, 96, 10854, 96, 25, 284, 5950, 720, 26, 4426, 30, 1992, 26, 13707, 30, 10849, 471, 298, 40223, 47, 1001, 35758, 30, 2364, 35758, 47, 1526, 35758, 27, 334, 665, 4906, 81, 1851, 26, 784, 711, 284, 636, 280, 630, 32, 2620, 81, 2445, 81, 426, 346, 284, 442, 330, 2121, 15231, 101, 26, 2121, 32, 974, 7846, 100, 471, 1509, 81, 2536, 9905, 904, 308, 784, 32, 4164, 81, 426, 30, 636, 27, 334, 665, 2866, 81, 1977, 26, 784, 30, 11828, 30, 1561, 81, 1515, 26409, 1406, 1057, 7831, 284, 11828, 32, 1821, 9442, 96, 25, 474, 1406, 27, 284, 11828, 32, 1821, 14728, 10931, 280, 904, 101, 78, 96, 25, 904, 630, 32, 4164, 81, 1851, 1157, 284, 11828, 32, 1821, 463, 1977, 81, 2536, 32, 8233, 2176, 10931, 5421, 96, 683, 203, 823, 1665, 2922, 26, 2922, 1761, 711, 334, 665, 2866, 81, 1977, 26, 784, 30, 11828, 30, 1561, 81, 1515, 26409, 1406, 1057, 7831, 284, 11828, 32, 1821, 9442, 566, 1005, 81, 2536, 32, 8233, 26, 1131, 81, 2536, 5421, 96, 683, 203, 823, 9923, 2922, 26, 2922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 3, 6, 6, 5, 5, 2, 2, 4, 3, 4, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 6, 5, 7, 7, 6, 6, 2, 2, 5, 6, 5, 10, 9, 9, 11, 8, 7, 10, 9, 9, 8, 9, 9, 9, 8, 2, 2, 5, 6, 5, 7, 7, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 9, 9, 10, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 6, 6, 8, 9, 7, 9, 9, 9, 9, 4, 4, 6, 6, 8, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 10, 10, 7, 7, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 10, 5, 5, 6, 6, 6, 9, 9, 12, 13, 11, 12, 11, 13, 12, 13, 13, 13, 11, 11, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 4, 4, 5, 6, 5, 5, 5, 9, 10, 9, 12, 11, 11, 11, 11, 11, 12, 12, 11, 6, 6, 4, 4, 7, 6, 6, 9, 8, 8, 8, 8, 8, 9, 8, 8, 4, 4, 7, 6, 6, 9, 9, 8, 9, 8, 4, 4, 7, 7, 8, 7, 7, 9, 10, 9, 9, 9, 7, 9, 8, 9, 9, 7, 7, 9, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 4, 5, 7, 3, 3, 7, 8, 7, 11, 10, 8, 8, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 11, 11, 11, 10, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 4, 5, 7, 3, 3, 7, 8, 7, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 0, 1, 1, 2, 2, 3 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 7, 0, 0, 1, 1, 2, 2, 0, 9, 2, 2, 2, 2, 0, 11, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 2, 0, 0, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 7, 1, 1, 7, 7, 7, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 8, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 2, 2, 1, 1, 0, 7, 2, 2, 1, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 4, 4, 7, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 7, 1, 7, 7, 0, 2, 1, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 3, 3, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 7, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 2, 1 ]
[ 465, 4281, 1260, 619, 2361, 203, 1070, 3619, 2837, 81, 4275, 1188, 3398, 3041, 924, 203, 823, 29686, 5161, 1501, 1120, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 13984, 5161, 1501, 81, 2665, 711, 284, 630, 32, 418, 5161, 1501, 2665, 280, 13984, 5161, 1501, 81, 2665, 284, 415, 630, 32, 418, 5161, 1501, 2665, 32, 2040, 81, 678, 463, 731, 7831, 397, 3636, 3398, 3041, 924, 26, 784, 32, 418, 5161, 1501, 2665, 710, 731, 3490, 334, 665, 5850, 2907, 26, 784, 711, 284, 442, 630, 32, 418, 5161, 1501, 2665, 32, 371, 463, 8933, 370, 11544, 334, 665, 5850, 2907, 1554, 5086, 26, 784, 30, 5601, 81, 2665, 711, 284, 963, 280, 1605, 284, 436, 1623, 328, 630, 32, 16197, 2262, 397, 14995, 280, 2933, 397, 436, 1202, 30, 909, 328, 5601, 81, 2665, 32, 40957, 2262, 291, 415, 646, 1623, 32, 2040, 81, 678, 26, 678, 27, 556, 1623, 77, 678, 79, 863, 909, 44, 616, 14995, 280, 3177, 397, 415, 14995, 44, 291, 963, 32, 1689, 26, 1094, 27, 284, 442, 963, 334, 665, 9748, 26, 784, 30, 1202, 47, 2521, 711, 284, 1169, 280, 630, 32, 418, 5161, 1501, 2665, 32, 371, 463, 4642, 683, 284, 415, 646, 1202, 44, 397, 442, 1169, 284, 442, 1169, 32, 371, 26, 678, 27, 334, 665, 3319, 26, 784, 711, 284, 442, 630, 32, 3289, 463, 878, 683, 334, 665, 3611, 1625, 26735, 26, 784, 711, 284, 442, 630, 32, 3289, 463, 1217, 81, 266, 81, 6654, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 4, 2, 2, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 5, 8, 9, 9, 9, 9, 7, 8, 8, 8, 7, 9, 9, 5, 5, 7, 9, 9, 9, 12, 11, 12, 12, 12, 12, 10, 12, 12, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 9, 7, 8, 7, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 5, 5, 8, 8, 6, 6, 7, 8, 8, 7, 7, 10, 10, 9, 10, 9, 7, 7, 9, 11, 13, 14, 14, 14, 13, 14, 13, 10, 10, 12, 13, 12, 11, 11, 9, 9, 9, 12, 12, 6, 6, 7, 7, 7, 7, 11, 12, 11, 12, 11, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 9, 10, 10, 10, 10, 8, 9, 8, 10, 10, 4, 4, 5, 6, 5, 5, 5, 7, 4, 4, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 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 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 5, 5, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 5, 5, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 2, 4, 4, 3, 2, 1, 2, 2, 3, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 2, 1, 1, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 0, 2, 1, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 203, 49124, 7664, 688, 438, 13022, 623, 3927, 3113, 489, 11111, 32, 203, 1475, 5737, 101, 2676, 9184, 1147, 32, 978, 810, 13913, 342, 36813, 203, 9592, 203, 465, 6234, 203, 465, 5237, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 1070, 18792, 32, 21332, 1188, 1913, 81, 21326, 619, 28411, 203, 465, 18792, 32, 21332, 32, 39362, 32, 2208, 619, 1984, 2208, 203, 465, 2676, 9184, 1147, 203, 465, 34856, 32, 2957, 203, 1070, 34856, 32, 4466, 2393, 1188, 16215, 1237, 619, 2549, 2393, 81, 8358, 1237, 203, 1070, 34856, 1188, 1619, 203, 1070, 34856, 1188, 3756, 203, 1070, 34856, 32, 91, 35, 42, 96, 1188, 617, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 14594, 280, 34856, 32, 2957, 32, 14594, 203, 823, 489, 11111, 5392, 29949, 1761, 26, 1473, 711, 284, 665, 2965, 81, 800, 26, 784, 711, 291, 442, 596, 26, 784, 32, 1580, 81, 2468, 77, 34, 1130, 284, 665, 6144, 81, 6946, 81, 1805, 26, 784, 30, 3387, 81, 1338, 30, 7382, 81, 1805, 711, 291, 2857, 81, 965, 280, 3387, 81, 1338, 32, 371, 463, 3560, 81, 965, 683, 291, 415, 646, 2857, 81, 965, 44, 324, 9355, 280, 26155, 2023, 2857, 81, 965, 328, 3387, 81, 1338, 32, 313, 715, 313, 11394, 6042, 7079, 657, 324, 3636, 3756, 32, 24536, 26, 5110, 47, 5110, 27, 291, 2799, 81, 34619, 280, 428, 965, 2208, 32, 965, 2208, 26, 3560, 81, 965, 547, 13627, 79, 291, 415, 330, 3604, 25, 328, 2799, 81, 34619, 44, 324, 2799, 81, 34619, 32, 1689, 463, 525, 683, 291, 415, 330, 41704, 25, 328, 2799, 81, 34619, 44, 324, 2799, 81, 34619, 32, 1689, 463, 641, 683, 291, 442, 7382, 81, 1805, 328, 2799, 81, 34619, 284, 665, 537, 81, 19681, 81, 1580, 26, 784, 711, 291, 645, 1692, 730, 1188, 20089, 101, 291, 20089, 101, 32, 539, 81, 8494, 346, 291, 3185, 280, 1984, 2208, 32, 965, 2208, 26, 784, 32, 983, 27, 291, 415, 3185, 32, 13627, 646, 328, 2726, 525, 370, 330, 641, 7831, 324, 415, 5237, 32, 1648, 81, 1338, 333, 308, 36, 30, 225, 41, 30, 225, 38, 711, 400, 3636, 3756, 32, 42439, 984, 26, 528, 26155, 3122, 745, 646, 2193, 12841, 6611, 101, 25, 1531, 4865, 333, 225, 36, 32, 41, 32, 38, 30, 313, 2855, 313, 20633, 793, 1913, 556, 1678, 657, 904, 3185, 32, 13627, 27, 291, 2467, 280, 3185, 32, 1217, 291, 2404, 280, 1984, 2208, 32, 2208, 81, 11790, 26, 1217, 547, 371, 440, 1956, 392, 428, 1010, 8492, 3235, 346, 291, 415, 646, 2404, 44, 324, 420, 9534, 280, 630, 32, 5078, 32, 371, 2111, 463, 9534, 683, 324, 415, 420, 9534, 44, 400, 11078, 280, 28411, 32, 5291, 10755, 346, 400, 11078, 32, 944, 26, 90, 9534, 27, 400, 415, 330, 1956, 25, 328, 11078, 44, 528, 2404, 280, 11078, 710, 1956, 5695, 853, 291, 40970, 280, 1619, 32, 371, 81, 2300, 81, 1819, 346, 291, 16215, 1237, 280, 2549, 2393, 81, 8358, 1237, 32, 7633, 2681, 2554, 346, 291, 5008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 4, 3, 4, 3, 4, 2, 2, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 3, 1, 1, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 4, 5, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 10, 9, 10, 10, 10, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 6, 7, 7, 5, 5, 5, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 6, 6, 7, 9, 10, 9, 11, 10, 11, 9, 4, 4, 7, 7, 6, 6, 11, 11, 10, 11, 11, 10, 11, 11, 11, 10, 9, 7, 4, 4, 5, 8, 8, 6, 6, 7, 7, 5, 5, 5, 10, 10, 9, 10, 9, 11, 11, 4, 4, 5, 8, 8, 6, 6, 7, 7, 5, 5, 5, 10, 10, 9, 10, 9, 11, 11, 4, 4, 5, 7, 7, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 5, 5, 7, 4, 4, 8, 7, 8, 8, 8, 7, 4, 4, 6, 6, 9, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 7, 8, 6, 6, 6, 9, 9, 7, 9, 9, 5, 5, 7, 9, 10, 10, 10, 8, 8, 10, 9, 9, 10, 9, 9, 10, 9, 7, 7, 9, 11, 12, 12, 11, 11, 11, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 15, 15, 17, 17, 17, 17, 17, 17, 12, 12, 13, 14, 11, 4, 4, 6, 6, 7, 8, 4, 4, 6, 6, 13, 12, 13, 13, 13, 12, 13, 12, 11, 10, 12, 12, 10, 13, 11, 9, 8, 4, 4, 5, 6, 5, 5, 5, 9, 8, 8, 11, 12, 10, 11, 11, 10, 12, 12, 6, 6, 7, 8, 7, 7, 7, 10, 10, 12, 13, 13, 12, 8, 8, 11, 12, 11, 12, 12, 11, 8, 8, 9, 12, 12, 10, 10, 9, 9, 9, 12, 12, 14, 16, 16, 14, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 3, 3, 0, 5, 5, 0, 2, 0, 4, 0, 6, 1, 1, 2, 0, 6, 6, 0, 0, 0, 7, 7, 1, 2, 0, 8, 8, 1, 2, 2, 8, 8, 0, 3, 3, 2, 2, 2, 2, 0, 9, 9, 9, 9, 0, 10, 10, 10, 10, 0, 11, 11, 1, 2, 2, 2, 2, 11, 11, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 14, 14, 1, 1, 1, 1, 2, 1, 2, 14, 14, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 3, 1, 2, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 2, 4, 4, 4, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 5, 0, 0, 1, 1, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 3, 2, 1, 4, 4, 6, 1, 6, 6, 6, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 3, 3, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4 ]
[ 465, 24495, 203, 1070, 821, 1052, 1501, 1188, 7841, 203, 1070, 821, 1052, 1501, 32, 1199, 32, 8774, 1188, 1420, 81, 2602, 81, 1906, 203, 1070, 1344, 4071, 1188, 409, 43736, 30, 10525, 203, 1070, 1133, 1188, 1133, 203, 1070, 24084, 1188, 24084, 203, 50, 2675, 203, 4396, 665, 1420, 81, 4557, 81, 2602, 26, 3781, 30, 4070, 30, 1115, 5321, 711, 284, 2014, 1420, 81, 2602, 81, 1906, 463, 4557, 370, 4070, 32, 2602, 81, 983, 32, 850, 81, 878, 1026, 4567, 27, 203, 4396, 665, 1459, 81, 1945, 81, 2602, 26, 3781, 30, 5552, 711, 284, 10525, 318, 81, 2602, 280, 10525, 26, 981, 304, 26, 2602, 32, 7201, 9442, 96, 13356, 330, 264, 42925, 7201, 9442, 96, 683, 284, 1459, 26, 88, 25, 10333, 78, 96, 78, 34, 37, 37, 77, 37, 40, 95, 109, 9378, 318, 81, 2602, 4104, 34, 37, 37, 77, 34, 95, 2417, 683, 284, 1477, 280, 1133, 346, 284, 354, 280, 2014, 4567, 32, 4526, 26, 2602, 27, 284, 1459, 26, 88, 25, 14704, 328, 301, 1003, 346, 429, 1477, 44, 34, 32, 35, 88, 111, 101, 44, 301, 104, 15837, 203, 4396, 665, 7311, 318, 81, 1877, 26, 3781, 30, 1858, 30, 5552, 30, 9368, 81, 1003, 44, 1897, 280, 225, 34, 711, 284, 2385, 280, 2014, 4567, 32, 5140, 695, 26, 88, 1182, 31666, 2385, 20399, 645, 301, 1274, 111, 4998, 10512, 81, 314, 2756, 1181, 683, 284, 1459, 26, 88, 15907, 998, 111, 301, 1274, 111, 372, 1974, 30865, 284, 623, 24084, 26, 2999, 47, 998, 30, 46924, 47, 34, 32, 35, 27, 619, 273, 44, 291, 2218, 2933, 44, 324, 354, 280, 2014, 4567, 32, 4526, 26, 2602, 27, 324, 4459, 280, 629, 26, 104, 32, 3227, 463, 8758, 5769, 330, 2847, 324, 415, 4459, 610, 225, 34, 44, 400, 442, 324, 273, 32, 1877, 26, 6368, 27, 324, 2014, 24495, 32, 7840, 26, 7840, 81, 1003, 27, 203, 50, 2675, 203, 4396, 665, 7871, 81, 2997, 35, 26, 3781, 30, 4070, 30, 1115, 5321, 711, 284, 2014, 1459, 81, 1945, 81, 2602, 26, 3781, 30, 313, 2695, 5440, 81, 5457, 2823, 330, 35, 34, 101, 32147, 284, 2014, 1459, 81, 1945, 81, 2602, 26, 3781, 30, 330, 1297, 5016, 415, 646, 5375, 42155, 81, 1523, 45, 683, 284, 2014, 1459, 81, 1945, 81, 2602, 26, 291, 4567, 30, 291, 1524, 291, 20258, 4925, 27524, 308, 616, 804, 42192, 11190, 5578, 30, 616, 1340, 14057, 26, 40, 37, 27, 2370, 1181, 25541, 291, 1093, 291, 3330, 392, 284, 829, 284, 2014, 1459, 81, 1945, 81, 2602, 26, 291, 4567, 30, 291, 1524, 291, 24535, 2641, 27524, 308, 687, 27, 291, 10246, 46781, 10512, 291, 3753, 1474, 81, 6332, 45, 291, 3330, 392, 284, 829, 284, 2014, 1459, 81, 1945, 81, 2602, 26, 3781, 30, 330, 10486, 4925, 1474, 81, 6332, 8897, 10512, 81, 314, 5985, 17047, 27524, 5701, 14803, 40430, 683, 284, 2014, 7311, 318, 81, 1877, 26, 291, 4567, 30, 291, 330, 1436, 81, 6332, 370, 291, 1524, 291, 16424, 1474, 81, 6332, 485, 291, 5798, 10512, 81, 314 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 2, 2, 5, 7, 7, 7, 7, 7, 9, 9, 7, 10, 11, 11, 11, 9, 10, 10, 10, 9, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 5, 4, 4, 8, 10, 10, 10, 13, 12, 13, 12, 15, 14, 8, 10, 10, 7, 6, 9, 8, 2, 2, 5, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 7, 2, 2, 4, 4, 6, 2, 2, 4, 4, 5, 7, 8, 7, 8, 7, 2, 2, 5, 7, 7, 7, 7, 7, 10, 10, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 7, 0, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 3, 3, 3, 3, 4, 2, 1, 1, 4, 4, 5, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 7, 7, 8, 7, 7, 8, 7, 7, 7, 7, 2, 2, 3, 8, 10, 9, 10, 8, 8, 9, 10, 10, 10, 8, 6, 6, 3, 3, 3, 5, 5, 5, 5, 8, 8, 9, 11, 12, 11, 12, 11, 6, 6, 8, 8, 10, 13, 12, 13, 12, 14, 14, 12, 14, 6, 6, 7, 8, 8, 9, 7, 7, 7, 6, 6, 9, 10, 9, 10, 9, 6, 6, 8, 10, 11, 10, 11, 11, 11, 10, 0, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 5, 3, 2, 2, 5, 7, 7, 7, 7, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 5, 7, 7, 7, 7, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 3, 3, 5, 7, 7, 7, 7, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 0, 1, 6, 1, 1, 1, 2, 2, 2, 2, 3, 1, 3, 3, 3, 3, 1, 3, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 7, 7, 7, 2, 2, 2, 2, 3, 1, 3, 3, 3, 7, 7, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 5, 5, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 3, 3, 3, 3, 4, 5, 5, 0, 0, 1, 5, 5, 0, 0, 2, 0, 2, 1, 1, 1, 5, 5, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 4, 0, 8, 8, 8, 2, 2, 2, 3, 1, 3, 3, 3, 3, 3, 3, 0, 0, 7, 7, 7, 7, 4, 3, 8, 8, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 4, 5, 5, 1, 0, 0, 1, 1, 2, 1, 3, 4, 4, 4, 5, 5, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 9, 1, 1, 1, 2, 2, 2, 3, 1, 3, 3, 3, 3, 1, 3, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 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, 2, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 13625, 203, 465, 1933, 203, 465, 27374, 203, 1070, 29346, 1188, 786, 619, 786, 81, 1647, 203, 1070, 29346, 32, 4295, 1188, 1938, 81, 1945, 203, 1070, 29346, 32, 4295, 1188, 6538, 81, 24124, 619, 6538, 81, 24124, 81, 1647, 203, 1070, 29346, 32, 853, 1188, 7829, 203, 1070, 29346, 32, 853, 1188, 7116, 203, 823, 6012, 1006, 5472, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 1688, 81, 2238, 47, 2521, 30, 1688, 81, 1643, 5725, 47, 2521, 30, 3083, 6538, 81, 24124, 47, 2521, 30, 8244, 81, 2142, 1057, 7831, 284, 2599, 26, 1969, 1006, 5472, 30, 630, 14585, 1664, 16369, 284, 630, 1114, 2024, 81, 2238, 280, 1688, 81, 2238, 284, 630, 1114, 6654, 81, 24124, 280, 308, 291, 6538, 81, 24124, 415, 6538, 81, 24124, 438, 646, 1665, 291, 813, 6538, 81, 24124, 81, 1647, 32, 5280, 20624, 1157, 284, 630, 1114, 2024, 81, 1643, 5725, 280, 308, 291, 1688, 81, 1643, 5725, 415, 1688, 81, 1643, 5725, 438, 646, 1665, 813, 11544, 284, 630, 1114, 5707, 81, 2142, 280, 8244, 81, 2142, 284, 630, 1114, 1700, 81, 1637, 81, 1945, 280, 1665, 284, 630, 1114, 464, 81, 1637, 81, 19245, 280, 1605, 284, 630, 1114, 27877, 1353, 81, 853, 81, 979, 81, 5520, 81, 853, 81, 426, 280, 2149, 284, 630, 1114, 464, 81, 1367, 81, 2810, 280, 1605, 334, 665, 1156, 2991, 3207, 784, 711, 284, 9011, 280, 630, 3667, 823, 505, 284, 1056, 280, 9011, 3667, 890, 3207, 6933, 27, 284, 436, 831, 30, 354, 328, 630, 3667, 2665, 9818, 3028, 2262, 397, 415, 6937, 26, 104, 30, 13625, 32, 2879, 711, 291, 354, 280, 1933, 32, 2991, 26, 104, 27, 397, 39506, 26, 1267, 30, 831, 30, 354, 27, 284, 442, 1056, 334, 477, 2433, 334, 665, 1169, 81, 1637, 81, 10265, 81, 2810, 26, 784, 711, 284, 2078, 280, 1605, 284, 436, 1420, 328, 630, 1114, 464, 81, 1637, 81, 19245, 44, 397, 2078, 1454, 1420, 32, 2810, 284, 415, 630, 1114, 1700, 81, 1637, 81, 1945, 44, 397, 2078, 1454, 630, 1114, 1700, 81, 1637, 81, 1945, 32, 2810, 284, 442, 2078, 334, 477, 2433, 334, 665, 1169, 81, 1367, 81, 2810, 26, 784, 711, 284, 442, 630, 1114, 464, 81, 1367, 81, 2810, 334, 477, 2433, 334, 665, 1550, 81, 1637, 26, 784, 711, 284, 1201, 630, 1114, 1700, 81, 1637, 81, 1945, 30, 330, 1337, 5927, 3974, 894, 4564, 284, 442, 630, 1114, 1700, 81, 1637, 81, 1945, 32, 1637, 334, 477, 2433, 334, 665, 1550, 81, 1637, 81, 1945, 26, 784, 711, 284, 1201, 630, 1114, 1700, 81, 1637, 81, 1945, 30, 330, 1337, 5927, 3974, 894, 4564, 284, 442, 630, 1114, 1700, 81, 1637, 81, 1945, 334, 477, 2433, 334, 665, 1169, 81, 1637, 81, 19245, 26, 784, 711, 284, 442, 630, 1114, 464, 81, 1637, 81, 19245, 334, 477, 2433, 334, 665, 7853, 81, 6939, 81, 47655, 26, 784, 711, 284, 7853, 280, 739, 26, 1945, 32, 1637, 436, 1420, 328, 630, 32, 464, 81, 1637, 81, 19245, 27, 284, 7853, 32, 21034, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 7, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 9, 9, 8, 8, 10, 10, 9, 9, 9, 8, 8, 8, 11, 11, 11, 11, 10, 11, 11, 10, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 9, 9, 9, 8, 8, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 5, 5, 8, 9, 9, 8, 7, 5, 5, 7, 9, 10, 9, 9, 10, 11, 9, 7, 7, 10, 10, 12, 13, 12, 13, 12, 6, 6, 9, 10, 9, 9, 9, 9, 9, 4, 4, 5, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 5, 5, 6, 6, 6, 7, 8, 8, 8, 8, 8, 6, 6, 6, 9, 9, 10, 11, 5, 5, 6, 7, 8, 8, 8, 8, 8, 6, 6, 6, 9, 9, 11, 12, 12, 12, 12, 12, 10, 11, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 5, 5, 6, 8, 9, 9, 9, 9, 9, 7, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 5, 5, 6, 7, 8, 8, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 9, 11, 10, 11, 9, 10, 10, 10, 11, 12, 12, 12, 12, 12, 9, 5, 5, 8, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 3, 3, 2, 2, 2, 2, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 0, 5, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 4, 4, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 4, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 2, 2, 1, 2, 4, 4, 1, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 4, 4, 1, 7, 7, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2 ]
[ 1070, 7138, 1188, 2340, 203, 1070, 8527, 32, 2387, 1188, 10838, 40672, 203, 1070, 8527, 32, 858, 1188, 7155, 7233, 203, 1070, 4377, 2304, 1188, 4705, 203, 823, 902, 1363, 2633, 4470, 26, 5291, 7233, 711, 284, 477, 5522, 14178, 268, 1363, 34, 35, 950, 4247, 656, 330, 4572, 316, 1363, 706, 810, 5697, 619, 26631, 3328, 25, 656, 330, 4572, 436, 2350, 328, 26631, 3328, 25, 656, 23728, 2350, 32, 1363, 265, 2038, 6078, 656, 330, 4572, 436, 1623, 328, 2350, 32, 668, 3328, 25, 656, 23728, 1623, 32, 3986, 2038, 25, 656, 330, 4572, 22620, 904, 835, 25, 656, 330, 4572, 22620, 3328, 18143, 284, 665, 894, 81, 268, 1363, 34, 35, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 268, 1363, 34, 35, 370, 301, 324, 330, 605, 950, 39228, 3986, 950, 330, 85, 370, 330, 1632, 950, 225, 35, 835, 3486, 5053, 3986, 950, 330, 86, 370, 330, 1632, 950, 225, 35, 835, 3486, 5053, 3986, 950, 330, 83, 370, 330, 1632, 950, 225, 36, 835, 3486, 5053, 3986, 950, 330, 84, 370, 330, 1632, 950, 225, 36, 835, 3486, 5053, 3986, 950, 330, 106, 370, 330, 1632, 950, 225, 37, 17545, 291, 1790, 291, 630, 32, 5299, 26, 2024, 30, 330, 35, 44, 2087, 30, 36, 44, 360, 30, 37, 44, 106, 30, 683, 284, 477, 5522, 14178, 268, 1363, 34, 36, 950, 4247, 656, 330, 4572, 316, 1363, 706, 810, 5697, 619, 26631, 3328, 25, 656, 330, 4572, 436, 2350, 328, 26631, 3328, 25, 656, 23728, 2350, 32, 1363, 265, 2038, 6078, 656, 330, 4572, 436, 1623, 328, 2350, 32, 668, 3328, 25, 656, 23728, 1623, 32, 3986, 2038, 25, 656, 330, 4572, 22620, 3328, 25, 656, 330, 4572, 22620, 3328, 18143, 284, 665, 894, 81, 268, 1363, 34, 36, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 268, 1363, 34, 36, 370, 12797, 291, 630, 32, 5299, 26, 2024, 30, 9142, 284, 477, 5522, 14178, 268, 1363, 34, 37, 950, 4247, 656, 330, 4572, 316, 1363, 706, 810, 821, 110, 770, 1924, 95, 20, 619, 26631, 3328, 25, 656, 330, 4572, 436, 2350, 328, 26631, 3328, 25, 656, 23728, 2350, 32, 1363, 265, 2038, 6078, 656, 330, 4572, 436, 1623, 328, 2350, 32, 668, 3328, 25, 656, 23728, 1623, 32, 269, 110, 770, 1924, 86, 20, 2038, 25, 656, 330, 4572, 22620, 904, 835, 25, 656, 330, 4572, 22620, 3328, 18143, 284, 665, 894, 81, 268, 1363, 34, 37, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 268, 1363, 34, 37, 370, 301, 324, 330, 605, 950, 39228, 269, 950, 2340, 26, 36, 34, 35, 36, 30, 225, 36, 30, 225, 35, 38, 11918, 3486, 5053, 269, 950, 2340, 26, 36, 34, 35, 36, 30, 225, 36, 30, 225, 36, 42, 11918, 3486, 5053, 269, 950, 2340, 26, 36, 34, 35, 36, 30, 225, 41, 30, 225, 38, 4370, 614, 291, 1790, 291, 630, 32, 5299, 26, 2024, 30, 330, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 6, 6, 10, 10, 10, 10, 10, 8, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 9, 10, 10, 13, 13, 11, 16, 16, 14, 16, 16, 13, 16, 16, 14, 15, 13, 12, 12, 16, 16, 14, 16, 16, 13, 16, 16, 14, 15, 13, 12, 12, 16, 16, 14, 16, 16, 13, 16, 16, 14, 15, 13, 12, 12, 16, 16, 14, 16, 16, 13, 16, 16, 14, 15, 13, 12, 12, 16, 16, 14, 16, 16, 13, 16, 16, 14, 15, 13, 10, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 10, 8, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 9, 5, 5, 8, 9, 8, 9, 8, 8, 2, 2, 6, 6, 10, 10, 10, 10, 10, 8, 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, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 9, 10, 10, 13, 13, 11, 16, 16, 14, 16, 17, 17, 17, 17, 16, 16, 17, 16, 16, 17, 17, 16, 12, 12, 16, 16, 14, 16, 17, 17, 17, 17, 16, 16, 17, 16, 16, 17, 17, 16, 12, 12, 16, 16, 14, 16, 17, 17, 17, 17, 16, 16, 17, 16, 16, 17, 16, 12, 10, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 2, 1, 2, 2, 1, 2, 1, 1, 2, 3, 1, 2, 3, 2, 3, 2, 2, 1, 2, 1, 1, 2, 5, 1, 2, 3, 2, 5, 2, 2, 1, 2, 1, 1, 2, 7, 1, 2, 3, 2, 7, 2, 2, 1, 2, 1, 1, 2, 9, 1, 2, 3, 2, 9, 3, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 2, 3, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 2322, 203, 465, 2361, 203, 465, 13092, 203, 465, 5237, 203, 1070, 46624, 32, 5558, 32, 5961, 1188, 17221, 1006, 203, 325, 5237, 32, 1648, 81, 1338, 333, 308, 36, 30, 225, 41, 711, 284, 3636, 17221, 1006, 440, 56, 39, 35603, 7896, 1205, 4865, 2377, 225, 36, 32, 41, 657, 203, 1070, 9991, 32, 8524, 1188, 15798, 203, 1070, 9991, 32, 8524, 32, 3613, 1188, 7502, 203, 1070, 9991, 32, 8524, 32, 3613, 1188, 7841, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 6390, 1188, 35603, 2459, 203, 1270, 44, 284, 645, 4253, 32, 3477, 32, 7380, 639, 81, 32593, 81, 12549, 81, 3959, 1188, 8059, 3675, 284, 645, 4253, 32, 3477, 32, 7380, 639, 81, 32593, 81, 12549, 81, 3959, 1188, 7703, 3675, 284, 645, 4253, 32, 3477, 32, 7380, 639, 81, 32593, 81, 12549, 81, 3959, 1188, 7703, 1572, 284, 645, 4253, 32, 3477, 32, 7380, 639, 81, 32593, 81, 12549, 81, 3959, 1188, 7098, 2710, 284, 645, 4253, 32, 1647, 81, 2304, 32, 4573, 32, 88, 39, 32, 2282, 1188, 506, 39, 2459, 924, 284, 645, 4253, 32, 1647, 81, 2304, 32, 4573, 32, 88, 39, 32, 2282, 1188, 595, 2422, 10203, 39145, 284, 645, 894, 32, 2243, 32, 3477, 32, 2304, 1188, 739, 81, 1647, 81, 1132, 203, 7343, 29986, 44, 284, 1596, 44, 291, 645, 28520, 32, 3477, 32, 4573, 32, 88, 39, 32, 7380, 639, 81, 32593, 81, 12549, 81, 3959, 1188, 8059, 3675, 291, 645, 28520, 32, 3477, 32, 4573, 32, 88, 39, 32, 7380, 639, 81, 32593, 81, 12549, 81, 3959, 1188, 7703, 3675, 291, 645, 28520, 32, 3477, 32, 4573, 32, 88, 39, 32, 7380, 639, 81, 32593, 81, 12549, 81, 3959, 1188, 7703, 1572, 291, 645, 28520, 32, 3477, 32, 4573, 32, 88, 39, 32, 7380, 639, 81, 32593, 81, 12549, 81, 3959, 1188, 7098, 2710, 291, 645, 28520, 32, 1647, 81, 2304, 32, 4573, 32, 88, 39, 32, 2282, 1188, 506, 39, 2459, 924, 291, 645, 28520, 32, 1647, 81, 2304, 32, 4573, 32, 88, 39, 32, 2282, 1188, 595, 2422, 10203, 39145, 291, 645, 9991, 32, 3477, 32, 2304, 1188, 739, 81, 1647, 81, 1132, 284, 2940, 29986, 44, 291, 3636, 17221, 1006, 440, 56, 39, 35603, 7896, 1205, 322, 296, 39, 31, 4968, 4865, 4253, 657, 203, 12940, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 330, 18972, 683, 203, 12940, 81, 605, 280, 2149, 203, 589, 2454, 81, 12940, 26, 426, 711, 284, 1519, 280, 2322, 32, 983, 32, 2524, 26, 12940, 81, 983, 30, 636, 27, 284, 415, 1519, 328, 15124, 81, 605, 44, 291, 442, 15124, 81, 605, 77, 983, 79, 284, 623, 2156, 26, 983, 27, 619, 296, 44, 291, 706, 280, 296, 32, 850, 346, 284, 1596, 44, 291, 706, 280, 2361, 32, 12474, 26, 605, 27, 284, 2940, 3268, 44, 291, 3097, 284, 15124, 81, 605, 77, 983 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 3, 1, 1, 3, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 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, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 2, 2, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 2, 2, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 2, 2, 3, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 2, 2, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 3, 3, 5, 5, 5, 2, 2, 3, 4, 5, 5, 5, 4, 5, 4, 5, 5, 4, 5, 3, 3, 5, 5, 5, 2, 2, 3, 4, 5, 4, 5, 4, 5, 3, 3, 5, 5, 5, 5, 1, 2, 2, 2, 2, 2, 4, 4, 4, 6, 7, 8, 7, 8, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 5, 5, 6, 7, 8, 7, 8, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 5, 5, 6, 7, 8, 7, 8, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 5, 5, 6, 7, 8, 7, 8, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 5, 5, 6, 7, 8, 8, 8, 7, 8, 7, 8, 8, 7, 8, 6, 6, 8, 8, 8, 5, 5, 6, 7, 8, 8, 8, 7, 8, 7, 8, 8, 7, 8, 6, 6, 8, 8, 8, 5, 5, 6, 7, 8, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 7, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 4, 6, 6, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 6, 2, 2, 3, 4, 4, 5, 5, 3, 3, 3, 5, 7, 7, 6, 7, 6, 2, 2, 3, 8, 9, 8, 6, 6, 3, 3, 3, 6, 6, 8, 9, 8, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 3, 3, 4, 4, 4, 4, 2, 2, 6, 6, 5, 6 ]
[ 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, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 2, 2, 2, 1, 4, 11, 11, 0, 0, 12, 12, 12, 12, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 2, 2, 1, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 2, 2, 2, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 0, 2, 2, 3, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 0, 2, 2, 4, 1, 2, 2, 2, 1, 4, 1, 6, 6, 1, 8, 4, 4, 0, 0, 0, 2, 2, 5, 1, 2, 2, 2, 1, 4, 1, 6, 6, 1, 8, 5, 5, 0, 0, 0, 2, 2, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 12, 3, 3, 3, 3, 3, 0, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 1, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 2, 2, 1, 1, 2, 1, 4, 1, 6, 6, 1, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 0, 2, 2, 2, 1, 2, 1, 4, 1, 6, 6, 1, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 0, 2, 2, 3, 1, 2, 1, 4, 1, 6, 6, 1, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 0, 2, 2, 4, 1, 2, 2, 2, 1, 4, 1, 6, 6, 1, 8, 4, 4, 0, 0, 0, 2, 2, 5, 1, 2, 2, 2, 1, 4, 1, 6, 6, 1, 8, 5, 5, 0, 0, 0, 2, 2, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 4, 4, 0, 0, 0, 2 ]
[ 1070, 17158, 1188, 17158, 203, 1070, 4004, 1188, 4004, 261, 203, 21589, 81, 42874, 280, 428, 284, 4004, 463, 620, 7942, 370, 6186, 1057, 6647, 370, 276, 5713, 6020, 1802, 17158, 463, 47792, 370, 6186, 1057, 47792, 1763, 1425, 1802, 17158, 463, 620, 370, 6186, 1057, 620, 1425, 276, 25859, 284, 4004, 463, 2759, 2732, 5516, 370, 6186, 1057, 5516, 370, 276, 5713, 6020, 1802, 17158, 463, 620, 370, 6186, 1057, 620, 370, 4511, 438, 81, 5301, 47, 1815, 471, 1802, 17158, 463, 7754, 370, 6186, 1057, 7754, 1763, 1425, 1802, 17158, 463, 2732, 558, 370, 6186, 1057, 5541, 1763, 1425, 1802, 17158, 463, 32973, 8924, 370, 6186, 1057, 8924, 5516, 370, 4511, 438, 81, 5301, 47, 1815, 471, 276, 25859, 284, 4004, 463, 1622, 620, 5516, 370, 6186, 1057, 5516, 370, 276, 5713, 6020, 1802, 17158, 463, 1622, 13099, 370, 6186, 1057, 1622, 1763, 1425, 1802, 17158, 463, 620, 370, 6186, 1057, 620, 1425, 276, 25859, 284, 4004, 463, 7556, 5516, 370, 6186, 1057, 5516, 370, 276, 5713, 6020, 1802, 17158, 463, 1721, 5516, 370, 6186, 1057, 5516, 1425, 1802, 17158, 463, 9927, 4494, 370, 6186, 1057, 3160, 3299, 9927, 4494, 1763, 1425, 276, 25859, 284, 4004, 463, 5541, 5516, 370, 6186, 1057, 5516, 370, 276, 5713, 6020, 1802, 17158, 463, 5541, 370, 6186, 1057, 1763, 370, 4511, 2404, 81, 19833, 6020, 5556, 330, 8171, 1763, 370, 5556, 330, 5541, 1763, 370, 4511, 25859, 276, 25859, 284, 4004, 463, 1465, 620, 5516, 370, 6186, 1057, 5516, 370, 276, 5713, 6020, 1802, 17158, 463, 5516, 370, 6186, 1057, 5516, 1425, 1802, 17158, 463, 1465, 13099, 370, 6186, 1057, 1465, 1763, 1425, 1802, 17158, 463, 620, 370, 6186, 1057, 620, 1425, 276, 25859, 284, 4004, 463, 8924, 5516, 370, 6186, 1057, 5516, 370, 276, 27399, 11414, 4433, 44370, 2188, 276, 5713, 6020, 1802, 17158, 463, 3679, 44032, 370, 6186, 1057, 3679, 44032, 1763, 1425, 1802, 17158, 463, 7452, 370, 6186, 1057, 8924, 5516, 1308, 720, 370, 4511, 4491, 81, 2543, 81, 426, 1057, 1308, 1425, 1802, 17158, 463, 4046, 44032, 370, 6186, 1057, 4046, 44032, 1763, 1425, 276, 25859, 284, 4004, 463, 35277, 5516, 370, 6186, 1057, 5516, 370, 276, 5713, 6020, 1802, 17158, 463, 35277, 370, 6186, 1057, 35277, 1763, 1425, 1802, 17158, 463, 620, 7942, 370, 6186, 1057, 620, 7942, 370, 4511, 438, 81, 5301, 47, 1815, 471, 276, 25859, 284, 4004, 463, 8924, 5516, 1308, 370, 6186, 1057, 6647, 370, 276, 27399, 11414, 1554, 39343, 34010, 370, 330, 49030, 2188, 276, 5713, 6020, 1802, 17158, 463, 2168, 558, 370, 6186, 1057, 5541, 1763, 370, 4511, 438, 81, 5301, 47, 1815, 471, 1802, 17158, 463, 2168, 47792, 370, 6186, 1057, 47792, 1763, 370, 4511, 438, 81, 5301, 47, 1815, 471, 1802, 17158, 463, 5516, 370, 6186, 1057, 5516, 1425, 1802, 17158, 463, 39343, 34010, 370, 6186, 1057, 34010, 1763, 370, 4511, 438, 81, 5301, 47, 1815, 471, 276, 25859, 284, 4004, 463, 3487, 5516, 370, 6186, 1057, 5516, 370, 276, 5713, 6020, 1802, 17158, 463, 3487, 370, 6186, 1057, 6150, 1425, 276, 25859, 284, 4004, 463, 8924, 5516, 1308, 720, 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, 1, 1, 0, 1, 1, 1, 1, 0, 0, 3, 3, 3, 2, 2, 3, 3, 5, 7, 7, 7, 5, 6, 8, 8, 5, 5, 6, 7, 7, 9, 11, 11, 9, 10, 12, 12, 12, 7, 7, 9, 11, 11, 9, 10, 12, 12, 7, 7, 3, 3, 5, 7, 7, 7, 7, 5, 6, 8, 8, 5, 5, 6, 7, 7, 9, 11, 11, 9, 10, 12, 12, 9, 9, 11, 11, 10, 11, 9, 7, 7, 9, 11, 11, 9, 10, 12, 12, 12, 7, 7, 9, 11, 11, 11, 9, 10, 12, 12, 12, 7, 7, 9, 11, 11, 11, 9, 10, 12, 12, 12, 9, 9, 11, 11, 10, 11, 9, 7, 7, 3, 3, 5, 7, 7, 7, 7, 5, 6, 8, 8, 5, 5, 6, 7, 7, 9, 11, 11, 11, 9, 10, 12, 12, 12, 7, 7, 9, 11, 11, 9, 10, 12, 12, 7, 7, 3, 3, 5, 7, 7, 7, 5, 6, 8, 8, 5, 5, 6, 7, 7, 9, 11, 11, 11, 9, 10, 12, 12, 7, 7, 9, 11, 11, 11, 9, 10, 12, 12, 12, 12, 12, 12, 7, 7, 3, 3, 5, 7, 7, 7, 5, 6, 8, 8, 5, 5, 6, 7, 7, 9, 11, 11, 9, 10, 12, 12, 9, 9, 11, 11, 10, 11, 11, 13, 13, 13, 11, 11, 13, 13, 13, 11, 11, 7, 7, 3, 3, 5, 7, 7, 7, 7, 5, 6, 8, 8, 5, 5, 6, 7, 7, 9, 11, 11, 9, 10, 12, 12, 7, 7, 9, 11, 11, 11, 9, 10, 12, 12, 12, 7, 7, 9, 11, 11, 9, 10, 12, 12, 7, 7, 3, 3, 5, 7, 7, 7, 5, 6, 8, 8, 5, 5, 6, 9, 9, 9, 5, 5, 6, 7, 7, 9, 11, 11, 11, 9, 10, 12, 12, 12, 12, 7, 7, 9, 11, 11, 9, 10, 12, 12, 12, 12, 12, 9, 9, 11, 11, 11, 11, 10, 12, 12, 7, 7, 9, 11, 11, 11, 9, 10, 12, 12, 12, 12, 7, 7, 3, 3, 5, 7, 7, 7, 5, 6, 8, 8, 5, 5, 6, 7, 7, 9, 11, 11, 9, 10, 12, 12, 12, 7, 7, 9, 11, 11, 11, 9, 10, 12, 12, 12, 9, 9, 11, 11, 10, 11, 9, 7, 7, 3, 3, 5, 7, 7, 7, 7, 5, 6, 8, 8, 5, 5, 6, 9, 9, 9, 9, 7, 9, 9, 5, 5, 6, 7, 7, 9, 11, 11, 11, 9, 10, 12, 12, 12, 9, 9, 11, 11, 10, 11, 9, 7, 7, 9, 11, 11, 11, 9, 10, 12, 12, 12, 9, 9, 11, 11, 10, 11, 9, 7, 7, 9, 11, 11, 9, 10, 12, 12, 7, 7, 9, 11, 11, 11, 9, 10, 12, 12, 12, 9, 9, 11, 11, 10, 11, 9, 7, 7, 3, 3, 5, 7, 7, 7, 5, 6, 8, 8, 5, 5, 6, 7, 7, 9, 11, 11, 9, 10, 12, 12, 7, 7, 3, 3, 5, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 2, 2, 1, 1, 2, 1, 3, 1, 1, 2, 2, 2, 1, 1, 2, 1, 3, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 2, 2, 1, 1, 2, 1, 3, 1, 2, 1, 1, 0, 0, 5, 2, 1, 2, 2, 1, 1, 2, 1, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 0, 0, 5, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 2, 2, 2, 1, 1, 2, 1, 3, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 2, 2, 1, 1, 2, 1, 3, 1, 2, 1, 1, 0, 0, 5, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 2, 2, 1, 1, 2, 1, 3, 1, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 2, 2, 2, 1, 1, 2, 1, 3, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 1, 1, 2, 1, 1, 7, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 5, 1, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 2, 2, 1, 1, 2, 1, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 0, 0, 5, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 1, 1, 1, 2, 2, 1, 2, 1, 1, 7, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 0, 0, 5, 2, 1, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 0, 0, 5, 2, 1, 2, 2, 1, 1, 2, 1, 3, 1, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 0, 0, 5, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 2, 2, 1, 1, 2, 1, 3, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2 ]
[ 1070, 345, 39, 32, 1040, 1188, 1930, 2976, 203, 1070, 309, 406, 85, 32, 5536, 1188, 4159, 203, 1070, 309, 406, 85, 32, 19111, 32, 29741, 1188, 5025, 7090, 203, 1070, 309, 406, 85, 32, 19111, 32, 620, 1188, 2768, 203, 1070, 309, 406, 85, 32, 1040, 1188, 10634, 203, 823, 12450, 1599, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 309, 406, 85, 711, 291, 630, 32, 101, 406, 85, 280, 309, 406, 85, 291, 630, 32, 7919, 81, 3137, 280, 1605, 291, 630, 32, 7919, 81, 1110, 81, 3137, 280, 428, 2149, 1481, 291, 630, 32, 8676, 81, 3527, 280, 2149, 291, 11847, 280, 2149, 291, 11847, 1365, 37006, 1446, 280, 313, 7134, 20, 291, 3894, 280, 10634, 440, 1664, 392, 225, 34, 30, 1289, 81, 5691, 47, 1206, 309, 406, 85, 32, 10529, 27, 291, 13665, 620, 280, 2768, 26, 784, 30, 313, 7090, 620, 392, 3894, 30, 11847, 27, 291, 630, 32, 890, 6084, 26, 7090, 620, 27, 291, 11847, 280, 2149, 291, 11847, 1365, 19697, 1446, 280, 313, 7134, 20, 291, 11847, 1365, 6173, 1446, 280, 313, 7134, 20, 291, 3894, 280, 10634, 440, 1664, 392, 225, 34, 30, 1289, 81, 5691, 47, 1206, 309, 406, 85, 32, 10529, 27, 291, 763, 280, 2768, 26, 784, 30, 313, 1117, 392, 3894, 30, 11847, 27, 291, 630, 32, 890, 6084, 26, 1117, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 7185, 6084, 1599, 12032, 3701, 665, 1340, 8736, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 101, 406, 85, 32, 687, 8736, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 537, 6084, 26, 784, 30, 5013, 711, 291, 630, 32, 3317, 13967, 26, 466, 26, 7919, 471, 5013, 27, 291, 630, 32, 7919, 81, 3137, 32, 1689, 26, 7919, 27, 284, 665, 3909, 13967, 26, 784, 30, 804, 30, 5013, 711, 291, 415, 804, 328, 630, 32, 7919, 81, 1110, 81, 3137, 6448, 35, 2786, 324, 5013, 32, 731, 440, 6084, 6611, 101, 25, 316, 26549, 328, 2432, 4576, 4414, 804, 27, 291, 630, 32, 7919, 81, 1110, 81, 3137, 6448, 35, 1674, 314, 79, 280, 5013, 284, 665, 2290, 26, 784, 30, 5204, 30, 3738, 47, 2521, 711, 291, 436, 5013, 81, 1110, 328, 29390, 26, 784, 32, 7919, 81, 1110, 81, 3137, 711, 324, 1596, 44, 400, 6977, 280, 5013, 81, 1110, 77, 4840, 79, 324, 2940, 25085, 44, 400, 4036, 324, 415, 3738, 438, 646, 1665, 44, 400, 415, 646, 6937, 26, 7010, 30, 3738, 711, 528, 6977, 32, 731, 440, 6084, 6611, 101, 25, 438, 646, 432, 3738, 6611, 101, 2473, 392, 768, 6977, 30, 768, 3738, 27, 324, 442, 6977, 291, 442, 1665, 284, 665, 537, 63, 867, 1722, 13967, 26, 784, 30, 6977, 711, 291, 6652, 280, 630, 32, 1809, 440, 1700, 81, 8676, 392, 5025, 7090, 27, 291, 415, 6652, 44, 324, 630, 32, 8676, 81, 3527, 77, 466, 26, 8676, 41193, 466, 26, 7010, 2177, 280, 6977, 284, 665, 537, 3059, 7090, 26, 784, 30, 5013, 711, 291, 630, 32, 3317 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 6, 6, 4, 4, 7, 9, 9, 6, 6, 8, 8, 4, 4, 6, 6, 8, 10, 10, 8, 9, 8, 8, 10, 10, 9, 10, 10, 12, 12, 11, 12, 8, 4, 4, 7, 6, 6, 8, 9, 8, 8, 10, 10, 10, 8, 8, 8, 8, 4, 4, 7, 8, 8, 7, 8, 8, 7, 4, 4, 6, 6, 4, 4, 7, 9, 9, 6, 6, 8, 8, 4, 4, 7, 9, 9, 6, 6, 8, 8, 4, 4, 6, 6, 8, 10, 10, 8, 9, 8, 8, 10, 10, 9, 10, 10, 12, 12, 11, 12, 8, 4, 4, 6, 6, 8, 9, 8, 8, 10, 10, 8, 8, 8, 8, 4, 4, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 8, 9, 9, 9, 7, 8, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 7, 9, 9, 10, 9, 7, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 8, 9, 9, 9, 9, 9, 7, 9, 7, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 4, 4, 9, 10, 10, 10, 10, 10, 8, 10, 8, 8, 7, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 7, 9, 8, 9, 9, 9, 9, 9, 7, 5, 5, 7, 7, 7, 10, 10, 12, 12, 11, 12, 11, 7, 7, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 7, 7, 7, 9, 10, 12, 13, 12, 12, 12, 9, 9, 13, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 13, 13, 13, 13, 6, 6, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 8, 4, 4, 5, 5, 5, 5, 11, 12, 12, 12, 10, 12, 12, 13, 12, 11, 11, 12, 11, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 2, 5, 5, 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, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 4, 4, 0, 1, 2, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 2, 1, 3, 1, 1, 0, 0, 5, 2, 2, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 1, 2, 0, 0, 1, 2, 4, 4, 0, 1, 2, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 2, 1, 3, 1, 1, 0, 0, 5, 2, 2, 0, 0, 1, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 4, 4, 5, 2, 1, 2, 2, 2, 2, 5, 2, 2, 5, 5, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 3, 3, 5, 5, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 5, 5, 2, 4, 4, 1, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 4, 4, 7, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 2 ]
[ 465, 1133, 203, 465, 25630, 203, 465, 485, 1473, 203, 465, 25630, 32, 1843, 1525, 203, 1070, 8206, 13835, 32, 2958, 32, 1040, 1188, 309, 930, 983, 203, 1070, 8206, 13835, 32, 2958, 1188, 10225, 203, 1070, 8206, 13835, 32, 1588, 24192, 32, 1707, 1188, 25630, 36, 1588, 24192, 203, 1070, 8206, 13835, 32, 2958, 32, 3527, 1188, 23630, 30, 3909, 4420, 203, 1070, 8206, 13835, 32, 2958, 1188, 1245, 203, 1070, 8206, 13835, 32, 31423, 1188, 20608, 203, 1070, 27847, 348, 32, 3337, 1188, 4575, 30, 13199, 203, 465, 485, 15114, 203, 1648, 280, 3941, 14022, 44, 225, 35, 32, 35, 17512, 77, 35, 35, 5979, 36, 79, 203, 25481, 32, 1664, 440, 1843, 339, 747, 3260, 18751, 12493, 392, 1503, 27, 203, 823, 6497, 2301, 26, 22589, 36, 1588, 24192, 32, 7633, 2301, 711, 284, 665, 617, 14117, 3325, 1335, 26, 784, 711, 291, 630, 32, 579, 3883, 280, 1245, 32, 974, 1335, 9134, 26, 22589, 36, 1588, 24192, 1114, 1337, 83, 761, 26, 784, 30, 313, 751, 2131, 291, 630, 32, 579, 3883, 32, 1366, 346, 284, 665, 4719, 26, 784, 711, 291, 630, 32, 579, 3883, 32, 4048, 346, 291, 3555, 630, 32, 579, 3883, 203, 823, 6497, 1612, 26, 22589, 36, 1588, 24192, 32, 7633, 1612, 711, 284, 665, 39258, 26, 784, 711, 291, 3112, 280, 630, 32, 49120, 32, 371, 81, 2668, 346, 291, 3850, 35, 30, 3850, 36, 280, 3112, 32, 371, 81, 11206, 346, 291, 1344, 280, 3112, 32, 371, 81, 878, 26, 1731, 35, 30, 3850, 36, 30, 3177, 27, 291, 630, 32, 1409, 26, 878, 27, 284, 665, 745, 26, 784, 30, 1344, 711, 291, 630, 32, 45915, 32, 1409, 26, 878, 27, 203, 823, 439, 1212, 26, 3041, 711, 284, 665, 1156, 19647, 3207, 339, 368, 1274, 30, 1244, 711, 291, 415, 19326, 26, 339, 368, 1274, 30, 9602, 2665, 505, 10280, 324, 442, 11617, 1212, 26, 339, 368, 1274, 27, 291, 442, 18197, 1212, 26, 339, 368, 1274, 27, 203, 823, 18751, 12493, 1212, 26, 4420, 711, 284, 4575, 26, 521, 402, 27, 284, 665, 2364, 3573, 26, 784, 30, 3401, 30, 2935, 30, 9848, 711, 291, 630, 32, 2881, 280, 3401, 291, 630, 32, 2544, 280, 2935, 291, 630, 32, 9040, 280, 9848, 284, 665, 42472, 26, 784, 711, 291, 498, 280, 1605, 291, 816, 280, 630, 291, 2218, 816, 32, 2544, 438, 646, 1665, 44, 324, 498, 32, 1689, 26, 106, 32, 2881, 27, 324, 816, 280, 816, 32, 2544, 291, 498, 32, 9833, 346, 291, 442, 498, 284, 665, 1156, 33644, 3207, 784, 30, 1650, 711, 291, 9848, 30, 337, 280, 630, 32, 371, 26, 1055, 27, 291, 310, 280, 439, 1212, 26, 97, 30, 23637, 47, 2700, 27, 291, 310, 32, 1526, 3573, 26, 1055, 30, 630, 30, 9848, 27, 291, 442, 310, 284, 665, 3218, 466, 26, 784, 711, 291, 442, 596, 26, 784, 32, 7318, 27, 284, 665, 2179, 26, 784, 711, 291, 442, 308, 784, 32, 9040, 30, 630, 32, 3831, 466, 1157, 203, 823, 15022, 1212, 26, 19269, 1212, 711, 284, 665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 4, 6, 3, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 4, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 11, 11, 11, 11, 10, 11, 11, 11, 10, 11, 10, 10, 12, 12, 4, 4, 8, 9, 9, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 9, 7, 8, 7, 4, 4, 5, 6, 7, 7, 0, 1, 1, 2, 2, 4, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 9, 8, 4, 4, 8, 7, 7, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 9, 8, 8, 9, 8, 8, 8, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 7, 9, 9, 9, 5, 5, 7, 9, 9, 10, 10, 10, 9, 4, 4, 5, 7, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 6, 6, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 4, 4, 6, 6, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 5, 9, 10, 9, 11, 10, 11, 9, 6, 6, 8, 8, 9, 10, 4, 4, 7, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 6, 6, 8, 8, 9, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 7, 8, 7, 7, 7, 7, 7, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 7, 8, 6, 6, 8, 9, 9, 8, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 1, 2, 2, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 2, 1, 4, 6, 6, 0, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 9, 9, 0, 1, 2, 9, 9, 0, 10, 10, 0, 1, 2, 10, 10, 10, 10, 0, 11, 11, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 14, 14, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 14, 14, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 4, 4, 1, 1, 2, 2, 0, 15, 15, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 15, 15, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 0, 17, 17, 1, 1, 2, 1, 2, 17, 17, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 4, 4, 0, 0, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 2, 4, 4, 0, 2, 1, 4, 4, 4, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 0, 1, 2, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 18, 18, 1, 2, 1, 1, 2, 18, 18 ]
[ 1070, 34856, 32, 14632, 1188, 10582, 203, 1070, 34856, 32, 26878, 32, 2282, 32, 33170, 2304, 1188, 617, 203, 1070, 34856, 32, 26878, 32, 2282, 1188, 1245, 619, 5741, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 10057, 2905, 2348, 26, 9211, 32, 1761, 2905, 2348, 711, 284, 665, 2761, 81, 464, 26, 784, 30, 12389, 30, 2761, 81, 4642, 711, 291, 13575, 81, 25335, 280, 2761, 81, 4642, 32, 371, 463, 13261, 81, 25335, 683, 291, 415, 646, 13575, 81, 25335, 44, 324, 442, 12389, 291, 4020, 81, 426, 280, 13575, 81, 25335, 32, 3235, 463, 1977, 81, 3376, 370, 1665, 27, 291, 415, 646, 4020, 81, 426, 44, 324, 442, 12389, 291, 415, 646, 630, 32, 12995, 26, 2029, 81, 4642, 710, 1819, 37886, 324, 442, 12389, 291, 5776, 32, 1338, 41648, 1562, 13911, 3872, 5543, 372, 18147, 3376, 81, 426, 27, 101, 3301, 313, 4511, 313, 1028, 330, 1977, 81, 3376, 25, 13575, 14230, 2113, 353, 5053, 3376, 81, 426, 950, 4020, 81, 426, 1748, 291, 13575, 280, 2761, 81, 4642, 710, 13261, 785, 291, 415, 4020, 81, 426, 610, 2761, 81, 4642, 710, 15753, 81, 983, 12132, 324, 442, 428, 13261, 32, 1293, 81, 4018, 32, 371, 81, 1772, 81, 1293, 7662, 291, 40970, 280, 2761, 81, 4642, 710, 1819, 785, 291, 10098, 280, 2761, 81, 4642, 710, 3376, 81, 13261, 81, 1959, 785, 291, 10098, 280, 18623, 26, 13261, 32, 2076, 81, 10340, 30, 10098, 27, 291, 10098, 26, 30845, 30, 4020, 81, 426, 30, 2761, 81, 4642, 710, 2035, 81, 5508, 81, 5321, 3490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 6, 7, 7, 5, 5, 5, 7, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 5, 6, 7, 7, 5, 5, 5, 7, 4, 4, 5, 6, 8, 9, 8, 10, 10, 10, 9, 11, 11, 5, 5, 7, 4, 4, 7, 8, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 11, 11, 11, 11, 9, 10, 10, 8, 4, 4, 6, 6, 8, 8, 7, 9, 9, 4, 4, 5, 7, 7, 6, 6, 8, 8, 7, 9, 9, 9, 9, 5, 5, 7, 12, 11, 12, 12, 12, 10, 11, 11, 11, 11, 11, 10, 4, 4, 6, 6, 8, 8, 7, 9, 9, 4, 4, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 8, 10, 9, 10, 10, 10, 8, 8, 8, 4, 4, 7, 8, 7, 7, 8, 8, 7, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 6, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 2, 2, 4, 4, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 4, 4, 4, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 4, 4, 0, 0, 0, 0, 2, 1, 2, 4, 4, 7, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 100, 2993, 203, 6467, 18444, 203, 1318, 21566, 1155, 31, 62, 36940, 11560, 7756, 5085, 436, 23877, 623, 3995, 15443, 101, 203, 6467, 18444, 203, 1318, 529, 19693, 1155, 31, 62, 36940, 11560, 7756, 46828, 25114, 10066, 688, 1346, 3857, 43034, 203, 5613, 883, 526, 26184, 42775, 1991, 312, 7216, 43034, 516, 34986, 203, 1166, 2218, 42254, 322, 1673, 36869, 328, 322, 6092, 3767, 27960, 32, 203, 497, 46679, 19693, 1155, 31, 62, 36940, 11560, 7756, 46828, 6083, 1678, 555, 272, 32, 12393, 32, 1088, 33, 6419, 33, 19693, 1155, 23, 55, 36, 23, 42, 34, 23, 43, 37, 62, 36940, 11560, 7756, 81, 39310, 203, 1318, 35079, 1578, 11615, 203, 44557, 203, 1318, 1673, 36869, 19711, 810, 312, 3995, 15443, 529, 98, 82, 438, 1201, 318, 810, 203, 1382, 8434, 688, 529, 98, 82, 438, 20720, 600, 15376, 31, 20711, 623, 4644, 16356, 203, 302, 3417, 810, 44, 203, 497, 7744, 403, 664, 308, 35, 429, 15376, 27, 29312, 103, 429, 354, 78, 110, 80, 36, 333, 29312, 98, 26, 103, 27, 429, 298, 26, 104, 5421, 110, 80, 36, 333, 308, 35, 474, 15376, 27, 29312, 103, 429, 354, 78, 110, 80, 36, 203, 8127, 1044, 461, 354, 884, 1346, 5760, 11508, 645, 312, 5890, 432, 6024, 428, 96, 81, 7088, 30, 203, 96, 81, 5905, 79, 461, 298, 438, 312, 15443, 810, 312, 3995, 29354, 489, 26, 34, 30, 225, 35, 27, 5045, 203, 1793, 6024, 428, 96, 81, 3527, 30, 310, 81, 5905, 79, 308, 271, 312, 22508, 399, 380, 374, 2215, 302, 5045, 547, 203, 1318, 9340, 1451, 432, 6339, 372, 45731, 322, 15376, 31, 20711, 438, 203, 15813, 810, 44, 203, 497, 7744, 403, 664, 310, 5015, 3527, 2377, 225, 38, 1245, 26, 96, 5015, 7088, 27, 517, 308, 17685, 80, 36, 517, 225, 36, 429, 15376, 80, 37, 517, 225, 37, 27, 203, 1318, 1932, 6867, 9830, 688, 623, 600, 23647, 1451, 432, 9801, 4102, 96, 81, 7088, 18769, 203, 1382, 16645, 1451, 432, 13135, 4102, 96, 81, 3527, 572, 28952, 1245, 31176, 95, 7637, 203, 266, 2532, 372, 28764, 600, 4102, 17685, 572, 31, 20711, 32, 203, 1318, 3100, 6867, 9830, 688, 600, 12075, 432, 322, 1544, 7769, 1478, 203, 2452, 36869, 4102, 17685, 572, 6972, 372, 11665, 9201, 6434, 1247, 322, 16645, 1451, 432, 203, 18979, 4102, 96, 81, 3527, 572, 436, 312, 2702, 1451, 432, 9801, 4102, 96, 81, 7088, 572, 203, 16794, 48868, 6850, 203, 1281, 511, 203, 3122, 6042, 322, 3684, 11615, 544, 322, 16105, 5890, 556, 544, 322, 225, 36, 34, 14165, 6332, 203, 878, 1825, 308, 5754, 31, 779, 56, 3594, 41292, 27, 5890, 44, 203, 31, 436, 322, 16105, 5890, 30, 1629, 225, 42, 106, 42, 20272, 3193, 10862, 706, 436, 225, 39, 34, 34, 334, 4091, 15557, 16105, 37511, 884, 26184, 42775, 372, 13922, 436, 10297, 334, 14324, 1451, 432, 13135, 4102, 96, 81, 3527, 16688, 203, 31, 436, 322, 225, 36, 34, 14165, 6332, 5890, 1629, 225, 39, 34, 34, 12827, 623, 225, 35, 34, 34, 93, 334, 5359, 328, 3380, 884, 42775, 1471, 312 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 485, 2983, 32, 7101, 32, 46756, 619, 310, 17321, 203, 465, 15798, 203, 465, 44524, 203, 465, 5237, 203, 465, 2108, 5240, 203, 823, 2108, 42003, 2185, 14059, 307, 26, 18986, 32, 7233, 711, 334, 665, 894, 81, 6954, 4109, 2839, 26, 784, 711, 284, 7272, 280, 310, 17321, 32, 64, 17321, 3976, 463, 3986, 370, 330, 105, 1291, 370, 39552, 39552, 330, 1832, 32, 46756, 370, 39552, 291, 330, 1832, 32, 46756, 370, 330, 4463, 683, 284, 1374, 280, 301, 330, 1977, 81, 426, 950, 330, 105, 1291, 25, 320, 284, 630, 32, 6549, 26, 7572, 32, 12375, 2301, 6777, 26, 2285, 30, 330, 21823, 1814, 291, 943, 15285, 3949, 8022, 2847, 284, 630, 32, 6549, 26, 7572, 32, 12375, 2301, 6777, 26, 2285, 30, 330, 4190, 81, 5248, 1814, 291, 943, 15285, 3949, 9685, 2847, 284, 630, 32, 6549, 26, 7572, 32, 12375, 2301, 6777, 26, 2285, 30, 330, 1574, 81, 5248, 1814, 291, 943, 15285, 3949, 1356, 2847, 334, 665, 894, 81, 6954, 4109, 12183, 26, 784, 711, 284, 7272, 280, 310, 17321, 32, 64, 17321, 3976, 463, 3986, 370, 330, 105, 1291, 370, 39552, 39552, 330, 1832, 32, 46756, 370, 39552, 291, 330, 1832, 32, 46756, 370, 330, 4783, 683, 284, 1374, 280, 301, 330, 1977, 81, 426, 950, 330, 105, 1291, 25, 320, 284, 630, 32, 6549, 3949, 25, 646, 328, 7272, 32, 12375, 2301, 6777, 26, 2285, 30, 9930, 330, 21823, 2847, 284, 630, 32, 6549, 26, 7572, 32, 12375, 2301, 6777, 26, 2285, 30, 330, 4190, 81, 5248, 1814, 291, 1477, 15285, 463, 1356, 2847, 284, 630, 32, 6549, 26, 7572, 32, 12375, 2301, 6777, 26, 2285, 30, 330, 1574, 81, 5248, 1814, 291, 1477, 15285, 463, 1356, 2847, 284, 630, 32, 6549, 26, 7572, 32, 12375, 2301, 6777, 26, 2285, 30, 330, 4190, 81, 5248, 1814, 291, 943, 15285, 3949, 762, 2847, 284, 630, 32, 6549, 26, 7572, 32, 12375, 2301, 6777, 26, 2285, 30, 330, 1574, 81, 5248, 1814, 291, 943, 15285, 3949, 83, 2847, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 15798, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 3, 4, 3, 4, 2, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 4, 4, 6, 6, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 4, 4, 7, 8, 7, 12, 11, 12, 12, 12, 11, 12, 11, 11, 13, 13, 9, 9, 10, 9, 11, 11, 4, 4, 7, 8, 7, 12, 11, 12, 12, 12, 11, 12, 11, 11, 13, 13, 13, 13, 9, 9, 10, 9, 11, 11, 4, 4, 7, 8, 7, 12, 11, 12, 12, 12, 11, 12, 11, 11, 13, 13, 13, 13, 9, 9, 10, 9, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 4, 4, 6, 6, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 4, 4, 7, 8, 7, 10, 8, 8, 8, 10, 11, 11, 11, 10, 11, 10, 10, 10, 12, 12, 4, 4, 7, 8, 7, 12, 11, 12, 12, 12, 11, 12, 11, 11, 13, 13, 13, 13, 9, 9, 10, 9, 11, 11, 4, 4, 7, 8, 7, 12, 11, 12, 12, 12, 11, 12, 11, 11, 13, 13, 13, 13, 9, 9, 10, 9, 11, 11, 4, 4, 7, 8, 7, 12, 11, 12, 12, 12, 11, 12, 11, 11, 13, 13, 13, 13, 9, 9, 10, 9, 11, 11, 4, 4, 7, 8, 7, 12, 11, 12, 12, 12, 11, 12, 11, 11, 13, 13, 13, 13, 9, 9, 10, 9, 11, 11, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 2, 0, 4, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 1, 1, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 2272, 2280, 35968, 23877, 312, 27933, 11537, 34669, 1825, 203, 8005, 312, 4281, 24014, 3022, 30, 623, 312, 6550, 5780, 2676, 2234, 32, 203, 705, 2202, 322, 2280, 30, 1420, 44, 284, 4262, 4281, 32, 978, 203, 266, 458, 3362, 30, 461, 19202, 372, 44, 284, 1913, 555, 5007, 44, 39, 34, 34, 34, 203, 9592, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 18971, 203, 1070, 2959, 34669, 32, 6912, 1188, 6339, 203, 1070, 2959, 34669, 32, 3399, 1054, 1188, 10986, 203, 1070, 2959, 34669, 32, 5379, 1188, 35200, 203, 1070, 2959, 34669, 32, 1040, 32, 800, 1188, 9336, 81, 3310, 42, 203, 725, 280, 18971, 32, 43746, 4064, 426, 8223, 203, 8717, 280, 301, 284, 330, 12849, 950, 5307, 34, 34, 34, 34, 34, 34, 370, 284, 330, 4023, 950, 261, 5307, 1139, 34, 34, 34, 34, 370, 284, 330, 14863, 950, 5307, 34, 34, 1139, 34, 34, 370, 284, 330, 8990, 950, 225, 5307, 34, 34, 34, 34, 1139, 370, 203, 111, 203, 589, 622, 1094, 26, 2067, 30, 1623, 30, 1244, 711, 284, 415, 1623, 646, 328, 2830, 44, 291, 442, 1244, 284, 813, 44, 291, 442, 2830, 77, 1094, 79, 203, 50, 725, 32, 4351, 32087, 203, 589, 25137, 2262, 284, 2181, 280, 18971, 32, 1357, 32, 1132, 284, 1963, 280, 9612, 77, 33644, 26, 1132, 30, 330, 1489, 370, 330, 12849, 12357, 284, 617, 1070, 280, 629, 26, 33644, 26, 1132, 30, 7610, 1070, 370, 225, 34, 490, 284, 372, 280, 629, 26, 33644, 26, 1132, 30, 330, 452, 370, 225, 35, 34, 490, 284, 816, 280, 1149, 26, 3585, 2176, 1070, 30, 372, 474, 225, 35, 490, 284, 6531, 280, 10986, 26, 1311, 347, 37071, 657, 284, 6531, 32, 928, 26, 106, 30, 428, 91, 1115, 225, 36, 436, 595, 328, 816, 614, 1963, 47, 1489, 30, 1628, 81, 1644, 47, 36, 27, 284, 4060, 81, 5379, 280, 35200, 32, 3169, 81, 754, 346, 284, 9712, 81, 5379, 280, 35200, 32, 3169, 81, 2079, 346, 284, 3261, 30, 4451, 280, 6339, 26, 582, 30, 35200, 27, 284, 4159, 280, 18971, 32, 3169, 81, 2387, 26, 291, 330, 6912, 32, 916, 370, 291, 6867, 81, 1423, 47, 1423, 30, 291, 6867, 81, 507, 47, 507, 30, 291, 4060, 81, 5379, 47, 754, 81, 5379, 30, 291, 9712, 81, 5379, 47, 2079, 81, 5379, 30, 291, 1963, 47, 1489, 30, 291, 617, 1070, 11645, 1070, 30, 291, 372, 47, 452, 284, 829, 284, 442, 9336, 81, 3310, 42, 26, 916, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 1459, 4064, 1427, 8223, 284, 1123, 32, 1945, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 3, 3, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 5, 3, 3, 4, 4, 4, 6, 7, 8, 7, 0, 2, 5, 4, 5, 4, 1, 2, 2, 3, 2, 2, 5, 5, 7, 8, 6, 7, 3, 3, 5, 5, 6, 8, 8, 9, 8, 8, 10, 10, 8, 10, 10, 3, 3, 6, 5, 5, 7, 9, 9, 10, 9, 9, 11, 11, 9, 10, 9, 3, 3, 5, 5, 7, 9, 9, 10, 9, 9, 11, 11, 9, 10, 10, 9, 3, 3, 5, 5, 7, 9, 9, 10, 9, 9, 10, 10, 11, 9, 3, 3, 5, 5, 7, 9, 8, 10, 10, 3, 3, 6, 7, 6, 7, 6, 6, 9, 8, 8, 9, 7, 8, 8, 8, 7, 6, 7, 8, 6, 6, 8, 8, 7, 8, 6, 3, 3, 6, 6, 5, 5, 7, 8, 8, 8, 7, 3, 3, 6, 6, 5, 5, 7, 8, 8, 8, 7, 3, 3, 6, 6, 5, 5, 7, 8, 7, 7, 7, 3, 3, 5, 5, 7, 8, 8, 8, 7, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 8, 9, 7, 7, 7, 9, 9, 8, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 8, 9, 7, 7, 7, 9, 8, 9, 7, 7, 7, 8, 9, 7, 7, 3, 3, 4, 6, 6, 6, 6, 7, 6, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 6, 2, 2, 5, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 2, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 7, 1, 1, 1, 1, 1, 2, 2, 2, 0, 9, 9, 1, 2, 1, 2, 2, 2, 2, 2, 9, 9, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 10, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 5, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 3, 3, 2, 1, 4, 4, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 3, 1, 5, 2, 1, 1, 0, 0, 7, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 1, 11, 2, 1, 1, 1, 0, 13, 2, 1, 1, 1, 15, 2, 1, 1, 4, 4, 11, 0, 0, 0, 1, 1, 1, 0, 11, 11, 0, 0, 1, 1, 1, 1, 11, 11, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 2116, 505, 280, 330, 22012, 50, 2175, 32, 508, 308, 29338, 1813, 788, 624, 278, 9905, 203, 465, 485, 3613, 81, 858, 81, 2304, 203, 21991, 81, 4065, 280, 485, 3613, 81, 858, 81, 2304, 32, 936, 1006, 23928, 1215, 463, 89, 3613, 81, 37851, 81, 858, 81, 683, 203, 3765, 81, 12003, 81, 14886, 81, 5038, 280, 428, 21991, 81, 4065, 30, 11363, 24707, 81, 2029, 47, 28, 5012, 1853, 28, 785, 203, 3765, 81, 12003, 81, 567, 81, 5038, 280, 428, 21991, 81, 4065, 30, 11363, 24707, 81, 2029, 47, 28, 1484, 1853, 28, 785, 203, 3765, 81, 47161, 81, 815, 7409, 69, 280, 428, 21991, 81, 4065, 30, 11363, 24707, 81, 2029, 47, 28, 11726, 1475, 19831, 28, 785, 203, 823, 570, 3660, 42674, 1006, 26, 89, 3613, 81, 858, 81, 2304, 32, 7233, 711, 334, 665, 894, 14148, 2907, 1475, 19831, 3660, 46715, 26, 784, 711, 284, 630, 32, 31196, 1324, 26, 276, 34, 30, 291, 485, 3613, 81, 858, 81, 2304, 32, 1721, 2416, 26, 3765, 81, 12003, 81, 14886, 81, 5038, 547, 4775, 81, 687, 27, 284, 630, 32, 31196, 1324, 26, 276, 34, 30, 291, 485, 3613, 81, 858, 81, 2304, 32, 1721, 2416, 26, 3765, 81, 12003, 81, 567, 81, 5038, 547, 4775, 81, 687, 27, 334, 665, 894, 43279, 20377, 1475, 19831, 3660, 5786, 11700, 26, 784, 711, 284, 630, 32, 4983, 26, 276, 34, 30, 291, 485, 3613, 81, 858, 81, 2304, 32, 1721, 2416, 26, 3765, 81, 12003, 81, 14886, 81, 5038, 474, 1891, 2107, 287, 89, 3613, 81, 5628, 81, 274, 19831, 81, 30274, 47, 34, 21229, 4775, 81, 687, 27, 284, 630, 32, 4983, 26, 276, 34, 30, 291, 485, 3613, 81, 858, 81, 2304, 32, 1721, 2416, 26, 3765, 81, 12003, 81, 567, 81, 5038, 474, 1891, 2107, 287, 89, 3613, 81, 5628, 81, 274, 19831, 81, 30274, 47, 34, 21229, 4775, 81, 687, 27, 334, 665, 894, 14148, 2907, 1475, 19831, 3660, 5786, 3990, 26, 784, 711, 284, 630, 32, 31196, 1324, 26, 276, 34, 30, 291, 485, 3613, 81, 858, 81, 2304, 32, 1721, 2416, 26, 3765, 81, 12003, 81, 14886, 81, 5038, 474, 1891, 2107, 287, 89, 3613, 81, 5628, 81, 274, 19831, 81, 30274, 21229, 4775, 81, 687, 27, 284, 630, 32, 31196, 1324, 26, 276, 34, 30, 291, 485, 3613, 81, 858, 81, 2304, 32, 1721, 2416, 26, 3765, 81, 12003, 81, 567, 81, 5038, 474, 1891, 2107, 287, 89, 3613, 81, 5628, 81, 274, 19831, 81, 30274, 21229, 4775, 81, 687, 27, 334, 665, 894, 14148, 2907, 1475, 19831, 3660, 5786, 3990, 1554, 3866, 7552, 5260, 882, 26, 784, 711, 284, 630, 32, 31196, 1324, 26, 276, 34, 30, 291, 485, 3613, 81, 858, 81, 2304, 32, 1721, 2416, 26, 3765, 81, 12003, 81, 14886, 81, 5038, 474, 1891, 2107, 287, 89, 3613, 81, 5628, 81, 274, 19831, 81, 30274, 47, 35, 21229, 4775, 81, 687, 27, 334, 665, 894, 14148, 2907, 11726, 1475, 19831, 32628, 26, 784, 711, 284, 630, 32, 31196, 1324, 26, 276, 34, 30, 291, 485, 3613 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 7, 8, 7, 7, 7, 11, 11, 11, 11, 11, 10, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 9, 9, 9, 7, 4, 4, 7, 8, 8, 7, 7, 8, 7, 7, 7, 11, 11, 11, 11, 11, 10, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 7, 8, 7, 7, 7, 11, 11, 11, 11, 11, 10, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 9, 9, 9, 7, 4, 4, 7, 8, 7, 7, 8, 7, 7, 7, 11, 11, 11, 11, 11, 10, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 7, 8, 7, 7, 7, 11, 11, 11, 11, 11, 10, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 9, 9, 9, 7, 4, 4, 7, 8, 8, 7, 7, 8, 7, 7, 7, 11, 11, 11, 11, 11, 10, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 7, 8, 7, 7, 7, 11, 11, 11, 11, 11, 10, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 7, 8, 7, 7, 7, 11 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0 ]
[ 1070, 13625, 1188, 31466, 203, 465, 5741, 203, 465, 316, 203, 465, 1133, 203, 465, 3738, 203, 465, 3089, 749, 98, 203, 1070, 3089, 749, 98, 1188, 28135, 527, 4975, 81, 779, 203, 1070, 3089, 749, 98, 1188, 4549, 30, 8684, 30, 4125, 203, 1070, 3089, 749, 98, 32, 3477, 32, 8200, 1188, 20734, 1572, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 1070, 3089, 749, 98, 32, 500, 104, 32, 494, 1188, 3772, 1243, 30, 3678, 30, 40262, 1102, 81, 39991, 30, 2940, 81, 494, 203, 1070, 3089, 749, 98, 32, 4280, 1188, 1359, 203, 1070, 3089, 749, 98, 32, 4280, 32, 4770, 81, 6569, 1188, 10061, 81, 6569, 619, 9967, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 9856, 81, 1413, 14180, 81, 4694, 280, 7610, 5538, 81, 23754, 25, 203, 589, 617, 371, 81, 4151, 81, 681, 26, 784, 30, 5564, 30, 12373, 30, 1619, 47, 2521, 711, 284, 442, 8594, 43270, 93, 30, 93, 27, 436, 831, 30, 104, 328, 3829, 3667, 2665, 9818, 40957, 346, 2855, 415, 827, 26, 104, 27, 610, 3738, 32, 620, 620, 461, 766, 656, 438, 39288, 26, 104, 30, 3829, 1114, 2592, 27, 461, 766, 656, 354, 863, 3829, 1114, 2592, 461, 766, 656, 646, 354, 1114, 15040, 461, 766, 656, 646, 438, 39288, 26, 104, 30, 3829, 32, 1126, 14829, 203, 589, 617, 266, 81, 3477, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1600, 81, 426, 30, 1638, 30, 1619, 47, 2521, 711, 284, 2297, 81, 5178, 280, 630, 32, 5178, 1365, 476, 32, 1647, 32, 1647, 1446, 284, 6713, 81, 1647, 81, 3631, 280, 2297, 81, 5178, 32, 1903, 26, 2446, 30, 12373, 30, 41449, 1293, 42014, 18132, 45325, 284, 6713, 81, 1647, 81, 4243, 280, 2297, 81, 5178, 32, 850, 26, 2446, 30, 12373, 30, 6713, 81, 1647, 81, 3631, 30, 2107, 426, 2188, 1619, 47, 1819, 27, 284, 6713, 81, 3477, 280, 739, 26, 106, 710, 426, 785, 436, 816, 328, 6713, 81, 1647, 81, 4243, 27, 284, 1056, 280, 2149, 284, 5592, 81, 3631, 280, 337, 2269, 32, 500, 104, 1114, 371, 81, 2593, 81, 3631, 26, 784, 30, 5564, 30, 12373, 30, 9668, 27, 284, 436, 831, 30, 104, 328, 5592, 81, 3631, 32, 40957, 2262, 291, 1056, 77, 93, 79, 280, 5769, 5608, 2524, 26, 11939, 26, 18132, 81, 3477, 549, 739, 26, 2593, 81, 314, 32, 2998, 3949, 11968, 34, 79, 436, 5592, 81, 314, 328, 354, 2610, 284, 442, 1056, 203, 823, 8665, 26, 3378, 32, 5584, 1243, 711, 284, 617, 426, 280, 7610, 6876, 25, 203, 823, 7683, 81, 1160, 26, 500, 104, 32, 500, 104, 711, 284, 617, 426, 280, 330, 476, 32, 1160, 25, 284, 617, 2310, 280, 313, 4811, 20, 284, 617, 1174, 280, 330, 1160, 25, 284, 665, 617, 297, 81, 500, 104, 81, 5566, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1600, 81, 426, 30, 1638, 30, 1619, 47, 2521, 711, 291, 4549 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 5, 8, 7, 8, 7, 6, 7, 8, 9, 7, 7, 10, 11, 11, 10, 9, 6, 6, 7, 14, 15, 14, 12, 12, 13, 14, 14, 11, 11, 12, 11, 13, 13, 14, 13, 13, 14, 15, 13, 10, 10, 11, 10, 11, 11, 12, 13, 9, 9, 10, 9, 10, 11, 12, 8, 8, 9, 8, 9, 11, 11, 12, 11, 11, 12, 13, 11, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 7, 6, 6, 6, 6, 10, 10, 10, 10, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 9, 9, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 8, 7, 9, 9, 6, 7, 7, 7, 8, 8, 8, 8, 6, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 8, 7, 8, 8, 6, 7, 7, 7, 7, 7, 6, 7, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 3, 3, 6, 6, 5, 6, 5, 3, 3, 7, 8, 7, 6, 6, 10, 9, 8, 10, 10, 12, 12, 12, 11, 11, 13, 17, 17, 17, 16, 17, 16, 18, 15, 14, 13, 14, 15, 15, 14, 14, 13, 2, 2, 3, 0, 1, 1, 2, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 8, 8, 0, 0, 1, 2, 1, 4, 8, 8, 0, 0, 9, 9, 0, 0, 1, 2, 2, 9, 9, 9, 9, 0, 0, 10, 10, 0, 0, 1, 2, 2, 1, 4, 10, 10, 0, 10, 10, 10, 10, 0, 0, 0, 10, 10, 0, 0, 0, 11, 11, 0, 0, 1, 2, 11, 11, 0, 12, 12, 0, 0, 1, 2, 1, 4, 4, 4, 12, 12, 0, 0, 3, 3, 0, 13, 13, 0, 0, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 16, 16, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 16, 16, 0, 1, 1, 1, 3, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 3, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 2, 0, 3, 3, 2, 2, 0, 0, 2, 0, 3, 1, 2, 1, 1, 2, 1, 3, 0, 1, 1, 1, 1, 3, 2, 1, 0, 17, 17, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 2, 2, 13, 2, 2, 17, 17, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 1, 1, 1, 2, 1, 9, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 3, 3, 3, 3, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 2, 6, 6, 0, 0, 0, 2, 1, 6, 6, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 7, 0, 18, 18, 2, 0, 1, 2, 2, 2, 18, 18, 0, 0, 0, 1, 2, 0, 19, 19, 1, 1, 2, 0, 0, 1, 2, 2, 2, 19, 19, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 2, 2, 13, 2, 2, 3, 3 ]
[ 465, 5237, 203, 465, 802, 203, 1070, 13538, 325, 1188, 498, 12369, 2825, 30, 498, 12369, 3976, 203, 823, 9042, 2825, 26, 62, 12369, 2825, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1509, 711, 291, 498, 12369, 2825, 3667, 1664, 3207, 784, 30, 1509, 27, 291, 630, 32, 1473, 4820, 280, 2149, 291, 630, 32, 5843, 280, 2149, 284, 665, 1156, 13707, 3207, 784, 711, 291, 309, 280, 4247, 291, 13208, 81, 668, 280, 630, 32, 1473, 4820, 32, 3494, 346, 291, 13208, 81, 668, 32, 3323, 346, 291, 436, 636, 328, 13208, 81, 668, 44, 324, 5585, 280, 630, 32, 1473, 4820, 77, 426, 1674, 34, 79, 324, 11758, 280, 630, 32, 1473, 4820, 77, 426, 1674, 35, 79, 324, 309, 280, 309, 474, 313, 1482, 2194, 823, 904, 101, 78, 96, 20, 904, 636, 324, 309, 225, 280, 309, 474, 313, 319, 1156, 3234, 505, 904, 101, 78, 96, 20, 904, 5585, 324, 436, 5601, 328, 11758, 44, 400, 5601, 5337, 280, 4247, 400, 415, 630, 32, 5843, 32, 2040, 81, 678, 26, 2437, 711, 528, 5601, 5337, 280, 630, 32, 5843, 77, 2437, 79, 400, 309, 280, 309, 474, 313, 319, 1156, 23, 101, 505, 904, 101, 78, 96, 20, 904, 308, 2437, 30, 5601, 5337, 27, 324, 309, 280, 309, 474, 2706, 96, 20, 291, 442, 309, 284, 665, 2887, 26, 784, 30, 29792, 30, 3414, 711, 291, 3879, 2424, 280, 3414, 710, 4890, 2424, 785, 291, 1300, 4820, 280, 3414, 710, 1473, 4820, 785, 291, 436, 5601, 328, 3879, 2424, 44, 324, 5585, 280, 630, 32, 371, 12344, 26, 2437, 27, 324, 636, 81, 668, 280, 630, 32, 5165, 26, 2437, 27, 324, 436, 636, 328, 636, 81, 668, 44, 400, 630, 32, 5843, 77, 426, 79, 280, 5585, 291, 436, 13208, 328, 1300, 4820, 44, 324, 636, 280, 630, 32, 5165, 26, 542, 5594, 34, 79, 23688, 5585, 280, 630, 32, 371, 12344, 26, 542, 27, 324, 415, 646, 5585, 44, 400, 5585, 280, 4247, 324, 1631, 101, 280, 630, 32, 25452, 1951, 26, 542, 27, 324, 630, 32, 1473, 4820, 77, 426, 79, 280, 308, 3801, 30, 1631, 101, 27, 284, 665, 622, 63, 1951, 26, 784, 30, 13208, 711, 291, 1631, 101, 280, 13208, 32, 2998, 463, 33120, 11968, 35, 997, 2998, 463, 463, 5594, 35, 997, 2998, 463, 27, 11968, 34, 997, 2998, 24542, 683, 291, 442, 1992, 26, 800, 32, 7201, 30, 1631, 101, 27, 284, 665, 622, 12344, 26, 784, 30, 309, 711, 291, 5585, 280, 1665, 291, 1596, 44, 324, 5585, 280, 309, 32, 2998, 463, 12344, 11968, 35, 997, 2998, 27449, 16050, 35, 79, 291, 2940, 44, 324, 3097, 291, 442, 5585, 284, 665, 16407, 26, 784, 30, 101, 711, 291, 636, 81, 668, 280, 1665, 291, 1596, 44, 324, 636, 81, 800, 280, 309, 32, 2998, 463, 2474, 11968, 35, 997, 2998, 27449, 16050, 35, 997, 7201, 346, 324, 636, 81, 668, 280, 636, 81, 800, 32, 2998, 440, 7788, 291, 2940, 44, 324, 3097, 291, 442, 636, 81, 668, 203, 325, 1156, 426, 505, 610, 11477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 7, 7, 6, 6, 9, 10, 10, 8, 9, 8, 4, 4, 8, 8, 7, 8, 7, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 8, 8, 11, 12, 12, 10, 11, 10, 10, 9, 6, 6, 8, 8, 11, 12, 12, 10, 11, 10, 10, 9, 6, 6, 8, 8, 9, 9, 12, 12, 12, 12, 12, 13, 13, 12, 10, 10, 6, 6, 8, 8, 8, 9, 9, 12, 12, 12, 12, 12, 12, 13, 13, 12, 10, 10, 6, 6, 7, 7, 7, 7, 7, 7, 11, 10, 10, 8, 8, 9, 12, 13, 11, 12, 12, 12, 11, 12, 11, 9, 9, 13, 12, 12, 14, 15, 13, 14, 13, 8, 8, 10, 10, 11, 11, 14, 14, 14, 14, 14, 14, 14, 15, 15, 14, 12, 12, 14, 13, 13, 14, 13, 6, 6, 8, 8, 9, 9, 12, 11, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 6, 6, 7, 9, 9, 9, 4, 4, 7, 6, 6, 7, 9, 9, 9, 4, 4, 5, 5, 5, 6, 5, 5, 5, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 9, 9, 8, 8, 10, 11, 10, 11, 10, 6, 6, 7, 7, 7, 8, 8, 7, 7, 7, 12, 13, 11, 12, 11, 10, 10, 4, 4, 5, 5, 5, 6, 5, 5, 5, 8, 8, 11, 12, 11, 12, 11, 10, 9, 6, 6, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 7, 8, 7, 7, 7, 10, 10, 6, 6, 9, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 10, 11, 11, 9, 10, 9, 8, 8, 10, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 17, 18, 17, 19, 19, 16, 15, 15, 14, 16, 14, 13, 12, 12, 11, 13, 13, 10, 9, 9, 8, 10, 4, 4, 5, 7, 9, 8, 9, 7, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 8, 8, 14, 15, 14, 16, 16, 13, 12, 12, 11, 13, 10, 9, 5, 5, 6, 6, 6, 4, 4, 5, 2, 2, 3, 4, 5, 4, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 5, 5, 9, 9, 8, 8, 16, 17, 16, 18, 18, 15, 14, 14, 13, 15, 12, 11, 11, 10, 6, 6, 9, 9, 8, 8, 11, 11, 10, 11, 10, 12, 5, 5, 6, 6, 6, 4, 4, 5, 6, 6, 0, 1, 1, 3, 3, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 5, 5, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 5, 5, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 5, 5, 4, 4, 4, 4, 4, 4, 0, 0, 0, 5, 5, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 3, 2, 5, 5, 0, 0, 2, 2, 0, 2, 4, 4, 4, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 2, 2, 2, 3, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 2, 2, 2, 3, 3, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 2, 2, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 2, 1, 2, 2, 2, 0, 0, 5, 5, 0, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 3, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 4, 4, 1, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 3, 3, 3, 4, 4, 2, 4, 4, 5, 2, 1, 2, 3, 2, 5, 5, 0, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 3, 4, 4, 2, 1, 1, 0, 4, 4, 0, 0, 1, 1 ]
[ 465, 2322, 203, 465, 1133, 203, 1070, 7138, 1188, 2340, 203, 465, 45089, 858, 32, 5248, 32, 1262, 619, 5296, 203, 465, 45089, 858, 32, 5248, 32, 2536, 619, 2276, 203, 465, 45089, 858, 32, 5248, 32, 500, 89, 18986, 619, 45089, 18986, 203, 465, 45089, 858, 32, 5248, 32, 2122, 619, 2719, 203, 823, 2108, 2130, 66, 11413, 26, 500, 89, 18986, 32, 2636, 57, 7233, 711, 284, 298, 3883, 81, 1163, 280, 1524, 203, 1297, 5523, 5254, 5523, 81, 681, 47, 10500, 203, 470, 5523, 5254, 7307, 47, 1508, 203, 470, 5523, 5254, 5887, 47, 1508, 203, 470, 5523, 5254, 6086, 81, 1536, 32, 5459, 47, 35, 203, 470, 5523, 5254, 6086, 81, 1536, 32, 8991, 1003, 47, 37, 40, 34, 34, 203, 470, 2145, 1244, 81, 3926, 47, 4432, 203, 470, 2145, 4986, 81, 14704, 280, 225, 40, 34, 34, 203, 470, 2145, 3992, 81, 96, 26638, 280, 2933, 203, 470, 2145, 31801, 47, 1508, 203, 470, 2145, 32634, 81, 15934, 1454, 319, 203, 470, 2145, 32634, 81, 2035, 81, 4898, 280, 2933, 203, 2993, 284, 2129, 81, 8629, 874, 280, 2107, 9063, 535, 370, 3486, 330, 9063, 535, 31, 95, 418, 370, 3486, 330, 9063, 535, 31, 1786, 370, 3486, 330, 9063, 535, 31, 13261, 370, 3486, 330, 9063, 535, 31, 1580, 370, 38497, 330, 3448, 300, 785, 284, 665, 894, 81, 34, 35, 81, 1366, 81, 95, 418, 26, 784, 711, 291, 5296, 32, 1293, 710, 32433, 81, 95, 418, 32, 9771, 31, 2122, 785, 280, 3177, 291, 5296, 32, 5961, 81, 1253, 81, 23437, 81, 18132, 2740, 784, 32, 3648, 81, 8629, 874, 30, 810, 81, 9277, 47, 1815, 27, 291, 630, 32, 5961, 81, 1253, 81, 325, 26, 2122, 32, 297, 81, 10333, 463, 32433, 81, 95, 418, 1425, 330, 66, 11413, 345, 418, 3425, 3974, 683, 291, 5296, 32, 1163, 710, 9063, 535, 32, 95, 418, 31, 1163, 785, 280, 3056, 869, 33, 1356, 33, 9063, 535, 33, 95, 418, 81, 7242, 33, 1163, 25, 291, 2276, 32, 1821, 26, 1262, 32, 1163, 710, 9063, 535, 32, 95, 418, 31, 1163, 2188, 528, 3941, 4365, 422, 26645, 904, 101, 78, 96, 20, 904, 5296, 32, 371, 81, 12256, 1026, 528, 7423, 1057, 32433, 683, 291, 5296, 32, 1163, 710, 9063, 535, 32, 95, 418, 31, 3086, 785, 280, 3056, 869, 33, 1356, 33, 9063, 535, 33, 95, 418, 81, 7242, 33, 95, 418, 32, 3086, 25, 291, 2276, 32, 1821, 26, 1262, 32, 1163, 710, 9063, 535, 32, 95, 418, 31, 3086, 2188, 528, 313, 5459, 47, 34, 392, 528, 7423, 1057, 32433, 683, 291, 2719, 32, 1553, 81, 1366, 463, 32433, 81, 95, 418, 683, 284, 665, 894, 81, 34, 36, 81, 1366, 81, 32433, 81, 5508, 26, 784, 711, 291, 5296, 32, 1293, 710, 32433, 81, 5508, 32, 9771, 31, 2122, 785, 280, 3177, 291, 5296, 32, 5961, 81, 1253, 81, 23437, 81, 18132, 2740, 784, 32, 3648, 81, 8629, 874, 30, 810, 81, 9277, 47, 1815, 27, 291, 630, 32, 5961, 81, 1253, 81, 325, 26, 2122, 32, 297, 81, 10333 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 3, 4, 4, 4, 2, 2, 3, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 5, 5, 4, 4, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 10, 9, 10, 10, 10, 10, 7, 7, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 10, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 8, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 10, 9, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 11, 11, 11, 10, 7, 7, 8, 10, 10, 4, 4, 8, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 10, 9, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 7, 7, 8, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 10, 9, 10, 10, 10, 10, 7, 7, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 10, 9, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 2, 0, 4, 1, 1, 0, 4, 4, 0, 0, 2, 0, 4, 1, 1, 0, 5, 5, 0, 0, 2, 0, 4, 4, 4, 1, 1, 2, 0, 6, 6, 0, 0, 2, 0, 4, 1, 1, 0, 7, 7, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 7, 7, 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, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 5, 1, 2, 4, 4, 0, 2, 0, 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, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2 ]
[ 465, 5741, 203, 465, 17787, 203, 1070, 2361, 1188, 20748, 30, 10128, 101, 203, 1070, 7138, 1188, 7138, 30, 30784, 203, 1070, 13247, 1188, 15922, 30, 15922, 924, 203, 1070, 13761, 271, 32, 4219, 101, 1188, 3772, 3566, 203, 1070, 13761, 271, 32, 2304, 1188, 544, 81, 3893, 203, 1070, 273, 38200, 32, 8347, 1188, 442, 81, 9666, 203, 4073, 280, 5741, 32, 10579, 463, 7381, 271, 683, 203, 823, 9823, 26, 1761, 3566, 711, 284, 4759, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 1619, 30, 7176, 81, 1580, 47, 1815, 711, 291, 5881, 9962, 322, 15922, 3566, 291, 499, 753, 13761, 271, 32, 1819, 32, 1222, 7176, 81, 1580, 44, 7500, 1619, 291, 499, 753, 1905, 7176, 81, 1580, 44, 5076, 739, 372, 2933, 312, 25115, 2043, 1098, 8479, 526, 1654, 32, 291, 5881, 291, 3772, 3566, 3667, 1664, 3207, 784, 30, 1619, 27, 291, 630, 32, 4190, 81, 1580, 280, 7176, 81, 1580, 291, 630, 32, 4219, 280, 630, 32, 36227, 81, 9558, 346, 284, 665, 622, 81, 4219, 26, 784, 711, 291, 5881, 936, 322, 4759, 1980, 32, 291, 499, 601, 15922, 44, 15922, 1980, 291, 5881, 291, 415, 630, 32, 4219, 44, 324, 442, 630, 32, 4219, 291, 630, 32, 4219, 280, 630, 32, 36227, 81, 9558, 346, 291, 442, 630, 32, 4219, 284, 665, 30407, 81, 9558, 26, 784, 711, 291, 415, 630, 32, 4190, 81, 1580, 461, 9823, 32, 4219, 44, 324, 442, 9823, 32, 4219, 291, 4759, 280, 15922, 26, 324, 2601, 47, 784, 32, 1819, 32, 1163, 32, 37080, 81, 20736, 81, 8094, 81, 3624, 30, 324, 3408, 47, 784, 32, 1819, 32, 1163, 32, 37080, 81, 20736, 81, 8094, 81, 8472, 30, 324, 3082, 47, 784, 32, 1819, 32, 1163, 32, 37080, 81, 20736, 81, 8094, 81, 1996, 30, 324, 3882, 47, 784, 32, 1819, 32, 1163, 32, 37080, 81, 20736, 81, 8094, 81, 13001, 291, 829, 291, 415, 630, 32, 4190, 81, 1580, 44, 324, 9823, 32, 4219, 280, 4759, 291, 442, 4759, 284, 665, 544, 81, 9558, 81, 731, 26, 784, 30, 18146, 30, 13489, 81, 681, 30, 13489, 81, 853, 711, 291, 5881, 3296, 10768, 1412, 2017, 438, 312, 13247, 1048, 32, 291, 499, 753, 802, 18146, 44, 4540, 636, 688, 1597, 3998, 3823, 32, 291, 499, 753, 827, 13489, 81, 681, 44, 3268, 827, 291, 499, 753, 3268, 13489, 81, 853, 44, 886, 1550, 3756, 291, 499, 3255, 44, 4101, 786, 556, 3636, 322, 1550, 3756, 291, 5881, 291, 415, 630, 32, 4190, 81, 1580, 44, 324, 9823, 32, 4219, 280, 1665, 291, 813, 44, 324, 630, 32, 4219, 280, 1665, 291, 415, 630, 32, 1819, 32, 1163, 32, 37080, 81, 20736, 81, 24111, 81, 44842, 438, 2933, 44, 324, 4082, 32, 731, 9670, 37080, 81, 20736, 79, 904, 101, 20, 904, 13489, 81, 853, 27, 324, 415, 18146, 610, 7610, 4658, 950, 400, 442, 3177, 324, 442, 1665, 291, 813, 44, 324, 3636, 13489, 81, 853, 284, 665, 1156, 678, 81, 979, 26, 784, 30, 1984, 711, 291, 442, 330, 7381, 271, 31, 8861, 9299, 101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 0, 1, 1, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 8, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 7, 5, 5, 5, 7, 8, 9, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 7, 8, 5, 5, 5, 7, 8, 9, 4, 4, 6, 6, 8, 8, 8, 9, 13, 12, 13, 11, 12, 10, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 9, 13, 12, 13, 11, 12, 10, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 9, 13, 12, 13, 11, 12, 10, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 9, 13, 12, 13, 11, 12, 10, 11, 11, 11, 11, 11, 11, 11, 8, 8, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 9, 10, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 9, 10, 8, 8, 5, 5, 6, 6, 6, 10, 11, 9, 9, 4, 4, 5, 9, 10, 8, 9, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 6, 6, 7, 8, 8, 10, 10, 7, 7, 9, 6, 6, 7, 5, 5, 6, 6, 6, 8, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 4, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 2, 5, 5, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 9, 9, 2, 1, 1, 2, 9, 9, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 1, 1, 0, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 3, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 4, 4, 3, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 4, 4, 4, 0, 2, 0, 0, 4, 4, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 0, 3, 3, 2, 2, 2, 4, 4, 4, 0, 1, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1 ]
[ 465, 5237, 203, 465, 3738, 203, 1070, 27374, 1188, 2179, 81, 14806, 203, 589, 8814, 81, 2518, 26, 1298, 30, 3309, 47, 2521, 30, 1137, 81, 4383, 47, 2521, 711, 284, 5881, 284, 3309, 5514, 4209, 623, 1688, 432, 3420, 284, 1137, 81, 4383, 438, 3823, 2685, 3268, 30695, 30, 5514, 3268, 1980, 619, 561, 1182, 4209, 284, 5881, 284, 665, 1630, 81, 1298, 2740, 1132, 30, 1115, 5321, 711, 291, 665, 1048, 81, 1409, 26, 87, 711, 324, 1459, 17079, 4875, 81, 1298, 81, 731, 12454, 484, 30, 803, 47, 3731, 32, 8228, 27, 324, 415, 1137, 81, 4383, 438, 646, 1665, 44, 400, 1137, 81, 4383, 26, 87, 27, 291, 1596, 44, 324, 485, 280, 3420, 2740, 1132, 30, 1115, 5321, 27, 291, 2940, 3268, 619, 484, 44, 324, 1048, 81, 1409, 26, 87, 27, 324, 442, 291, 415, 646, 6937, 26, 89, 30, 3738, 32, 4815, 620, 711, 324, 415, 3309, 438, 646, 1665, 44, 400, 3309, 26, 89, 27, 324, 442, 291, 665, 1983, 81, 10997, 26, 283, 47, 2521, 711, 324, 1596, 44, 400, 2642, 280, 485, 32, 2714, 26, 283, 27, 400, 415, 646, 19326, 26, 405, 30, 330, 1409, 3245, 7831, 528, 1983, 81, 10997, 26, 2521, 27, 400, 813, 44, 528, 2642, 32, 1409, 3245, 26, 4383, 47, 1704, 81, 10997, 30, 1137, 81, 4383, 47, 731, 81, 1409, 27, 324, 2940, 12305, 21863, 619, 376, 44, 400, 415, 3309, 438, 646, 1665, 44, 528, 3309, 26, 270, 32, 853, 27, 400, 442, 324, 2940, 3268, 619, 484, 44, 400, 485, 32, 2679, 346, 400, 1048, 81, 1409, 26, 87, 27, 400, 442, 291, 1983, 81, 10997, 346, 284, 442, 1630, 81, 1298, 203, 1070, 35094, 1188, 7360, 203, 823, 29687, 2247, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3420, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 1298, 280, 3420, 291, 630, 32, 1132, 280, 2181, 291, 630, 32, 5321, 280, 10306, 284, 665, 745, 3245, 26, 784, 30, 3309, 47, 2521, 30, 1137, 81, 4383, 47, 2521, 711, 291, 630, 32, 1945, 26, 784, 32, 3792, 26, 9865, 26, 4875, 81, 2518, 30, 3309, 47, 4383, 30, 1137, 81, 4383, 47, 530, 81, 4383, 2610, 284, 665, 4522, 26, 784, 30, 296, 711, 291, 442, 296, 26, 784, 32, 1298, 27, 284, 665, 1420, 26, 784, 30, 3420, 47, 2521, 711, 291, 415, 3420, 438, 1665, 44, 324, 3420, 280, 630, 32, 1298, 291, 442, 3420, 2740, 784, 32, 1132, 30, 1115, 784, 32, 5321, 27, 203, 823, 4187, 1554, 12355, 26, 8341, 2247, 711, 284, 11322, 81, 3248, 280, 225, 35, 284, 665, 745, 3245, 26, 784, 30, 3309, 47, 2521, 30, 1137, 81, 4383, 47, 2521, 711, 291, 1596, 81, 7858, 280, 225, 34, 291, 665, 48406, 26, 87, 30, 319, 1132, 30, 1115, 5321, 711, 324, 2979, 1696, 1596, 81, 7858, 324, 415, 646, 19326, 26, 784, 30, 330, 13558, 81, 3248, 683, 556, 1596, 81, 7858, 848, 630, 32, 13558, 81, 3248, 44, 400, 1459, 17079, 731, 44, 9973, 11322, 2723, 19, 2899 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 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, 2, 2, 3, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 6, 6, 6, 7, 6, 5, 5, 9, 11, 11, 11, 11, 11, 11, 9, 9, 9, 10, 12, 11, 12, 9, 6, 6, 7, 9, 9, 8, 8, 8, 7, 7, 7, 11, 11, 11, 12, 11, 4, 4, 5, 5, 5, 8, 8, 10, 12, 10, 10, 12, 10, 5, 5, 6, 7, 7, 6, 6, 6, 10, 10, 10, 11, 10, 7, 7, 4, 4, 5, 6, 8, 9, 8, 8, 9, 10, 10, 8, 5, 5, 7, 8, 8, 8, 7, 7, 7, 11, 12, 11, 6, 6, 4, 4, 5, 6, 6, 6, 8, 7, 8, 6, 5, 5, 7, 7, 7, 10, 10, 12, 13, 12, 13, 12, 8, 8, 9, 10, 12, 13, 12, 12, 14, 14, 14, 9, 9, 13, 13, 13, 14, 13, 9, 9, 10, 10, 10, 14, 15, 15, 14, 16, 15, 16, 16, 16, 14, 14, 16, 16, 15, 16, 16, 16, 14, 7, 7, 8, 10, 9, 9, 8, 8, 8, 10, 11, 11, 11, 10, 10, 10, 14, 16, 15, 16, 14, 9, 9, 7, 7, 8, 9, 9, 8, 8, 8, 12, 13, 12, 9, 9, 12, 12, 12, 13, 12, 9, 9, 4, 4, 7, 7, 7, 2, 2, 3, 4, 4, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 7, 10, 9, 10, 9, 11, 11, 12, 12, 12, 11, 11, 12, 13, 11, 11, 13, 13, 12, 13, 13, 13, 11, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 9, 10, 4, 4, 5, 7, 10, 9, 10, 7, 7, 10, 9, 10, 7, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 6, 6, 7, 4, 4, 5, 6, 7, 6, 6, 8, 6, 6, 8, 6, 5, 5, 7, 7, 8, 8, 6, 6, 7, 9, 11, 12, 11, 11, 13, 13, 13, 13, 8, 8, 10, 10, 9, 9, 10, 11, 11, 11, 7, 7, 7, 11, 13, 13, 13, 13, 13, 13, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 2, 2, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 3, 3, 4, 4, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 3, 3, 4, 4, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 0, 0, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 0, 4, 1, 1, 4, 4, 4, 0, 2, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 4, 4, 0, 0, 1, 4, 4, 2, 1, 1, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 4, 4, 3, 2, 1, 2, 2, 3, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 6, 6, 1, 1, 2, 1, 1, 2, 6, 6, 0, 0, 0, 0, 2, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 2, 4, 4, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1619, 1356, 1188, 1619, 4018, 203, 465, 2322, 203, 1070, 2322, 32, 983, 1188, 24797, 30, 1399, 17611, 30, 7140, 619, 298, 2524, 203, 465, 22977, 203, 1070, 16539, 1188, 1505, 81, 1851, 203, 465, 5237, 203, 1070, 29590, 1188, 8664, 86, 1433, 203, 1070, 638, 1188, 8248, 203, 81, 266, 81, 6789, 81, 1423, 280, 298, 2524, 26, 7781, 26, 21379, 4064, 761, 505, 3662, 7610, 266, 81, 2416, 32, 978, 683, 203, 50, 1819, 4018, 203, 589, 1779, 1515, 2262, 284, 12077, 280, 8664, 86, 1433, 346, 284, 1596, 44, 291, 6761, 12077, 284, 8295, 44, 291, 22977, 32, 100, 41718, 26, 671, 27, 203, 823, 24507, 28760, 26, 984, 711, 203, 823, 18094, 3774, 26, 984, 711, 203, 589, 1244, 81, 27958, 81, 10340, 26, 3515, 30, 24390, 47, 2521, 30, 6717, 81, 12757, 47, 2521, 711, 284, 4533, 280, 2322, 32, 12757, 32, 2991, 346, 284, 415, 6717, 81, 12757, 44, 291, 4533, 32, 1877, 26, 7615, 81, 12757, 27, 284, 1505, 81, 1851, 26, 3515, 30, 24390, 47, 15598, 30, 4533, 47, 2121, 27, 203, 823, 447, 929, 39, 35, 41, 9824, 19759, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1914, 81, 1515, 30, 1968, 81, 7878, 711, 291, 630, 32, 1855, 81, 1515, 280, 1399, 17611, 26, 1855, 81, 1515, 27, 291, 630, 32, 1832, 81, 7878, 280, 1968, 81, 7878, 291, 630, 1114, 27958, 81, 10340, 280, 1244, 81, 27958, 81, 10340, 284, 477, 1819, 4018, 284, 665, 16539, 81, 10340, 26, 784, 30, 15684, 711, 291, 7323, 280, 630, 1114, 27958, 81, 10340, 291, 630, 1114, 27958, 81, 10340, 280, 15684, 291, 6761, 291, 630, 1114, 27958, 81, 10340, 280, 7323, 284, 665, 622, 81, 13966, 81, 979, 81, 1832, 81, 15668, 26, 784, 30, 1359, 81, 3550, 47, 2521, 711, 291, 442, 630, 1114, 1851, 81, 7133, 463, 371, 81, 13966, 81, 979, 81, 1832, 81, 15668, 370, 301, 324, 330, 1163, 81, 3550, 950, 1359, 81, 3550, 291, 1790, 284, 665, 11656, 81, 4519, 81, 979, 81, 1832, 81, 15668, 26, 324, 630, 30, 5035, 81, 5660, 30, 1359, 81, 3550, 47, 2521, 711, 291, 442, 630, 1114, 1851, 81, 7133, 463, 9266, 81, 4519, 81, 979, 81, 1832, 81, 15668, 370, 301, 324, 330, 4519, 81, 5660, 950, 1399, 17611, 26, 4519, 81, 5660, 471, 324, 330, 1163, 81, 3550, 950, 1359, 81, 3550, 30, 291, 1790, 284, 665, 1968, 81, 15668, 26, 324, 630, 30, 19461, 81, 5660, 30, 1359, 81, 3550, 47, 2521, 30, 324, 5035, 81, 5660, 47, 2521, 711, 291, 415, 5035, 81, 5660, 438, 646, 1665, 44, 324, 5035, 81, 5660, 280, 1399, 17611, 26, 4519, 81, 5660, 27, 291, 442, 630, 1114, 1851, 81, 7133, 463, 1832, 81, 15668, 370, 301, 324, 330, 15668, 81, 5660, 950, 1399, 17611, 26, 15668, 81, 5660, 471, 324, 330, 1163, 81, 3550, 950, 1359, 81, 3550, 30, 324, 330, 4519, 81, 5660, 950, 5035, 81, 5660, 30, 291, 1790, 284, 665, 622, 81, 13966, 81, 979, 81, 1832, 81, 101, 2452, 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, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 2, 2, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 6, 6, 8, 8, 9, 9, 8, 4, 6, 6, 6, 6, 6, 6, 0, 2, 3, 3, 1, 2, 2, 3, 3, 2, 2, 5, 5, 7, 7, 7, 3, 3, 4, 4, 4, 7, 4, 4, 5, 5, 5, 9, 10, 10, 9, 10, 9, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 7, 8, 7, 8, 8, 8, 7, 2, 2, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 7, 2, 2, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 8, 9, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 5, 5, 8, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 11, 9, 10, 10, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 11, 9, 11, 11, 12, 12, 12, 11, 8, 8, 11, 11, 11, 11, 9, 10, 10, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 10, 11, 11, 11, 10, 4, 4, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 11, 9, 11, 11, 12, 12, 12, 11, 8, 8, 11, 11, 11, 11, 9, 10, 10, 8, 8, 8, 11, 11, 11, 11, 9, 10, 10, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 7, 7, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 9, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 0, 1, 1, 3, 3, 3, 0, 2, 2, 1, 1, 1, 0, 10, 10, 1, 2, 1, 2, 0, 11, 11, 1, 2, 1, 2, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 12, 12, 0, 0, 0, 2, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 0, 13, 13, 1, 1, 1, 1, 1, 1, 2, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 3, 2, 2, 3, 3, 3, 4, 4, 4, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 0, 7, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 3, 2, 2, 3, 3, 3, 1, 1, 1, 2, 5, 2, 2, 3, 3, 3, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 316, 203, 10870, 81, 29396, 940, 280, 301, 284, 5608, 1729, 950, 428, 291, 316, 32, 6993, 26, 324, 540, 25, 14747, 101, 45444, 923, 110, 2055, 110, 5322, 110, 1574, 5421, 101, 24913, 6897, 324, 540, 25, 2009, 83, 31, 15188, 31, 76, 81, 1674, 83, 31, 15188, 31, 76, 34, 31, 43, 20145, 5327, 13644, 3212, 18899, 101, 29, 7283, 19067, 647, 324, 540, 44860, 83, 31, 15188, 31, 76, 81, 1674, 83, 31, 15188, 31, 76, 34, 31, 43, 81, 6603, 25, 6019, 324, 540, 10255, 101, 18899, 463, 15921, 291, 2588, 291, 316, 32, 6993, 26, 324, 540, 25, 14747, 101, 28, 463, 324, 540, 32312, 923, 110, 1574, 110, 2055, 110, 5322, 110, 3259, 110, 9436, 110, 9865, 9905, 324, 540, 10255, 101, 29, 4586, 25, 324, 540, 32312, 823, 110, 1167, 5421, 101, 29, 2009, 51, 31, 21948, 31, 108, 34, 31, 43, 81, 1130, 6897, 291, 2588, 284, 2505, 284, 5608, 85, 950, 428, 291, 316, 32, 6993, 26, 100, 28249, 38450, 3337, 110, 19373, 110, 823, 110, 5721, 27, 1425, 291, 316, 32, 6993, 26, 100, 28249, 77, 51, 31, 21948, 31, 108, 34, 31, 43, 11403, 79, 1425, 284, 2505, 284, 5608, 1859, 950, 428, 291, 316, 32, 6993, 26, 324, 540, 25, 14747, 101, 45444, 923, 110, 2055, 110, 5322, 110, 1574, 5421, 101, 24913, 6897, 324, 540, 25, 2009, 83, 31, 15188, 31, 76, 81, 1674, 83, 31, 15188, 31, 76, 34, 31, 43, 20145, 5327, 13644, 3212, 18899, 101, 29, 7283, 19067, 647, 324, 540, 44860, 83, 31, 15188, 31, 76, 81, 1674, 83, 31, 15188, 31, 76, 34, 31, 43, 81, 6603, 25, 6019, 324, 540, 10255, 101, 18899, 463, 15921, 291, 2588, 291, 316, 32, 6993, 26, 324, 540, 25, 14747, 101, 28, 463, 324, 540, 32312, 923, 110, 1574, 110, 2055, 110, 5322, 9905, 324, 540, 10255, 101, 29, 4586, 25, 324, 540, 32312, 823, 110, 1167, 5421, 101, 29, 2009, 51, 31, 21948, 31, 108, 34, 31, 43, 81, 1130, 6897, 291, 2588, 284, 2505, 284, 5608, 754, 950, 428, 291, 316, 32, 6993, 26, 100, 25, 14747, 101, 28, 1126, 428, 51, 31, 21948, 31, 108, 34, 31, 43, 81, 6155, 78, 101, 18899, 463, 471, 291, 316, 32, 6993, 26, 100, 25, 14747, 101, 8088, 869, 78, 101, 29, 6505, 77, 51, 31, 21948, 31, 108, 34, 31, 43, 81, 6155, 78, 101, 40001, 47, 10056, 78, 101, 28, 1126, 78, 101, 18899, 463, 471, 284, 2505, 284, 5608, 95, 950, 428, 291, 316, 32, 6993, 26, 100, 28249, 38450, 3337, 110, 19373, 110, 823, 110, 5721, 27, 1425, 291, 316, 32, 6993, 26, 100, 28249, 6448, 29, 10854, 101, 19650, 2009, 14747, 2177, 19650, 5421, 101, 29, 77, 51, 31, 21948, 31, 108, 34, 31, 43, 81, 6155, 12456, 45, 6603, 22, 1425, 291, 316, 32, 6993, 26, 100, 28249, 77, 51, 31, 21948, 31, 108, 34, 31, 43, 11403, 79, 1425, 284, 2505, 284, 5608, 1317, 950, 428, 291, 316, 32, 6993 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 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, 10, 10, 10, 10, 7, 7, 7, 5, 5, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 3, 3, 6, 6, 4, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 3, 3, 6, 6, 4, 5, 5, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 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, 10, 10, 10, 10, 7, 7, 7, 5, 5, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 3, 3, 6, 6, 4, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 5, 5, 3, 3, 6, 6, 4, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 3, 3, 6, 6, 4, 5, 5, 7, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 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, 1, 2, 3, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 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, 1, 2, 7, 2, 2, 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, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 9, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 11, 2, 2, 0, 2 ]
[ 465, 5237, 203, 465, 1133, 203, 465, 2322, 203, 465, 802, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 313, 2958, 657, 203, 465, 5034, 2593, 36, 203, 3197, 347, 106, 1017, 31, 858, 31, 9089, 20, 203, 14594, 347, 858, 24693, 32, 2593, 20, 203, 3602, 347, 1553, 31, 106, 1017, 31, 858, 31, 9089, 32, 751, 20, 203, 751, 280, 2156, 26, 3602, 30, 313, 105, 657, 203, 500, 32, 31015, 26, 3197, 27, 203, 858, 81, 9480, 280, 225, 34, 203, 858, 81, 15832, 6351, 280, 225, 34, 203, 858, 81, 7815, 280, 225, 34, 203, 858, 81, 731, 280, 225, 34, 203, 731, 81, 9480, 280, 225, 34, 203, 731, 81, 2076, 280, 4247, 203, 589, 44526, 26, 2095, 30, 596, 711, 284, 3649, 1048, 81, 9480, 284, 3649, 1048, 81, 2076, 284, 415, 802, 32, 1809, 26, 466, 30, 313, 731, 23498, 2377, 225, 34, 44, 203, 202, 731, 81, 9480, 280, 1048, 81, 9480, 474, 225, 35, 284, 415, 2069, 26, 731, 81, 2076, 27, 333, 225, 37, 34, 34, 44, 291, 415, 2069, 26, 731, 81, 2076, 27, 610, 225, 34, 556, 1048, 81, 2076, 6448, 35, 79, 610, 3228, 96, 950, 3269, 1048, 81, 2076, 280, 1048, 81, 2076, 474, 313, 261, 3776, 20, 474, 596, 203, 202, 1824, 44, 3269, 1048, 81, 2076, 280, 1048, 81, 2076, 474, 596, 203, 1356, 2593, 36, 32, 3317, 26819, 26, 731, 1972, 30, 1665, 27, 203, 589, 894, 74, 8509, 26, 3607, 30, 804, 711, 284, 3649, 1048, 81, 9480, 284, 3649, 1048, 81, 2076, 284, 3649, 1245, 284, 1048, 81, 9480, 280, 225, 34, 284, 1048, 81, 2076, 280, 4247, 284, 1459, 313, 858, 74, 8509, 7846, 101, 30, 904, 101, 4731, 904, 308, 3607, 30, 804, 27, 284, 442, 225, 35, 203, 589, 1420, 1006, 26, 858, 30, 1695, 1515, 711, 284, 3649, 894, 81, 9480, 284, 3649, 894, 81, 7815, 284, 3649, 894, 81, 731, 284, 3649, 894, 81, 15832, 6351, 284, 3649, 1048, 81, 2076, 284, 3649, 1245, 284, 26250, 81, 731, 280, 225, 34, 284, 8210, 280, 894, 32, 4641, 463, 6928, 683, 284, 804, 280, 894, 32, 4641, 463, 314, 683, 284, 827, 280, 894, 32, 4641, 463, 681, 683, 284, 415, 8210, 610, 1665, 44, 291, 1459, 313, 1006, 2876, 2484, 9318, 8210, 203, 202, 601, 429, 35, 284, 415, 804, 610, 1665, 44, 291, 1459, 313, 1006, 2876, 7412, 9318, 804, 203, 202, 601, 429, 35, 284, 415, 827, 610, 1665, 44, 291, 1459, 313, 1006, 2876, 7412, 9318, 804, 203, 202, 601, 429, 35, 284, 415, 1695, 1515, 863, 1665, 44, 203, 202, 6333, 280, 1695, 1515, 474, 13189, 474, 8210, 284, 813, 44, 291, 7412, 280, 8210, 284, 415, 2322, 32, 3560, 26, 6333, 30, 2322, 32, 68, 81, 2950, 27, 610, 225, 34, 44, 291, 1459, 313, 1006, 904, 101, 5816, 44, 1695, 904, 101, 8210, 904, 101, 20, 904, 308, 6333, 30, 1695, 1515, 30, 8210, 27, 203, 202, 601, 429, 35, 284, 2799, 280, 1665, 284, 1688, 761, 280, 1665, 284, 5839 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 5, 5, 0, 1, 1, 3, 3, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 4, 4, 4, 4, 4, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 4, 6, 6, 0, 4, 3, 4, 3, 4, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 2, 2, 3, 4, 4, 2, 2, 3, 6, 7, 6, 7, 6, 6, 8, 8, 4, 4, 5, 3, 3, 3, 7, 7, 7, 6, 6, 8, 8, 7, 7, 8, 2, 2, 3, 6, 7, 7, 7, 6, 4, 4, 5, 5, 5, 3, 3, 3, 5, 9, 10, 10, 10, 9, 7, 7, 8, 6, 6, 9, 9, 8, 10, 8, 7, 7, 10, 9, 5, 5, 9, 9, 8, 8, 11, 11, 10, 10, 12, 12, 12, 9, 9, 5, 5, 6, 6, 6, 6, 10, 10, 9, 9, 11, 11, 10, 10, 0, 4, 4, 4, 3, 4, 4, 3, 4, 4, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 2, 2, 3, 4, 4, 2, 2, 3, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 5, 5, 5, 2, 2, 3, 4, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 4, 4, 2, 2, 3, 4, 4, 2, 2, 3, 4, 4, 2, 2, 3, 4, 4, 4, 2, 2, 3, 4, 4, 2, 2, 3, 2, 2, 5, 5, 4, 4, 5, 2, 2, 4, 4, 6, 7, 6, 8, 8, 2, 2, 4, 4, 6, 7, 6, 8, 8, 2, 2, 4, 4, 6, 7, 6, 8, 8, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 7, 7, 7, 5, 4, 4, 5, 5, 7, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 7, 7, 7, 5, 4, 4, 5, 5, 7, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 7, 7, 7, 5, 4, 4, 5, 5, 7, 2, 2, 3, 5, 4, 4, 3, 3, 3, 7, 6, 6, 9, 8, 8, 7, 7, 3, 3, 4, 4, 4, 7, 7, 2, 2, 3, 6, 7, 6, 7, 6, 6, 7, 8, 8, 8, 6, 4, 4, 5, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 7, 8, 7, 7, 7, 4, 4, 5, 5, 7, 2, 2, 4, 4, 2, 2, 5, 4, 4, 2, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 17, 17, 2, 1, 2, 2, 2, 17, 17, 0, 1, 1, 4, 4, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 19, 19, 1, 1, 2, 1, 2, 2, 2, 19, 19, 0, 1, 1, 4, 4, 1, 1, 1, 4, 4, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 6, 1, 0, 20, 20, 1, 2, 1, 2, 2, 3, 2, 20, 20, 0, 1, 1, 4, 4, 1, 1, 1, 4, 4, 2, 1, 1, 4, 4, 3, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 5, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 10, 1, 1, 10, 10, 10, 0, 1, 1, 1, 1, 0, 3, 3, 1, 1, 1, 4, 4, 11, 1, 1, 11, 11, 11, 0, 1, 1, 1, 1, 0, 3, 3, 1, 1, 1, 4, 4, 12, 1, 1, 12, 12, 12, 0, 1, 1, 1, 1, 0, 3, 3, 1, 1, 1, 4, 4, 13, 0, 1, 1, 13, 13, 13, 0, 0, 0, 0, 0, 0, 2, 2, 13, 13, 4, 4, 4, 0, 0, 4, 4, 14, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 2, 14, 14, 14, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 3, 3, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 35094, 1188, 11665, 203, 465, 5237, 203, 465, 10020, 203, 465, 3738, 203, 465, 26015, 203, 465, 17787, 203, 465, 25679, 203, 465, 802, 203, 465, 6436, 619, 2065, 203, 1070, 1344, 4071, 1188, 409, 43736, 203, 1070, 13625, 1188, 41829, 30, 31466, 203, 1070, 456, 6973, 696, 659, 1188, 7683, 203, 465, 456, 6973, 696, 659, 32, 9986, 619, 16801, 203, 2897, 280, 3177, 203, 823, 7329, 26, 633, 32, 4375, 711, 284, 617, 4151, 280, 3037, 314, 392, 313, 681, 1446, 284, 665, 1156, 1664, 3207, 784, 30, 804, 30, 827, 47, 2521, 711, 291, 630, 32, 314, 280, 804, 291, 630, 32, 681, 280, 827, 203, 823, 17069, 26, 633, 32, 4375, 711, 284, 617, 4151, 280, 3037, 612, 392, 313, 695, 392, 313, 681, 1446, 284, 665, 1156, 1664, 3207, 784, 30, 2488, 30, 909, 30, 827, 47, 2521, 711, 291, 630, 32, 612, 280, 2488, 291, 630, 32, 695, 280, 909, 291, 630, 32, 681, 280, 827, 203, 823, 2744, 26, 633, 32, 4375, 711, 284, 617, 4151, 280, 3037, 695, 1446, 284, 665, 1156, 1664, 3207, 784, 30, 909, 711, 291, 630, 32, 695, 280, 909, 203, 823, 17526, 26, 633, 32, 4375, 711, 284, 617, 4151, 280, 3037, 869, 392, 313, 2409, 392, 313, 416, 392, 313, 1548, 1446, 284, 665, 1156, 1664, 3207, 784, 30, 773, 30, 4240, 30, 943, 30, 3361, 711, 291, 630, 32, 869, 280, 773, 291, 630, 32, 2409, 280, 4240, 291, 630, 32, 416, 280, 943, 291, 630, 32, 1548, 280, 3361, 203, 823, 1995, 26, 633, 32, 4375, 711, 284, 617, 4151, 280, 3037, 3359, 392, 313, 1132, 1446, 284, 665, 1156, 1664, 3207, 784, 30, 2771, 30, 2181, 711, 291, 630, 32, 3359, 280, 2771, 291, 630, 32, 1132, 280, 2181, 203, 823, 21760, 26, 633, 32, 4375, 711, 284, 617, 4151, 280, 3037, 10555, 392, 313, 1132, 392, 313, 1548, 1446, 284, 665, 1156, 1664, 3207, 784, 30, 18146, 30, 2181, 30, 3361, 711, 291, 630, 32, 10555, 280, 18146, 291, 630, 32, 1132, 280, 2181, 291, 630, 32, 1548, 280, 3361, 203, 823, 498, 283, 1428, 26, 633, 32, 4375, 711, 284, 617, 4151, 280, 3037, 96, 1446, 284, 665, 1156, 1664, 3207, 784, 30, 310, 30, 827, 47, 2521, 711, 291, 630, 32, 96, 280, 310, 291, 630, 32, 681, 280, 827, 203, 823, 498, 283, 3670, 26, 633, 32, 4375, 711, 284, 617, 4151, 280, 3037, 96, 1446, 284, 665, 1156, 1664, 3207, 784, 30, 310, 30, 827, 47, 2521, 711, 291, 630, 32, 96, 280, 310, 291, 630, 32, 681, 280, 1665, 203, 823, 498, 283, 5957, 26, 633, 32, 4375, 711, 284, 617, 4151, 280, 3037, 96, 1446, 284, 665, 1156, 1664, 3207, 784, 30, 310, 711, 291, 630, 32, 96, 280, 310, 203, 823, 47554, 26, 633, 32, 4375, 711, 284, 617, 4151, 280, 3037, 3359, 392, 313, 1132, 1446, 284, 665, 1156, 1664, 3207, 784, 30, 2771, 30, 2181, 711, 291, 630, 32, 3359, 280, 2771, 291, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 4, 4, 4, 3, 4, 2, 2, 0, 3, 2, 2, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 1, 1, 0, 10, 10, 0, 10, 10, 0, 0, 11, 11, 11, 11, 11, 11, 0, 12, 12, 0, 0, 0, 12, 12, 0, 13, 13, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 15, 15, 2, 0, 1, 2, 2, 15, 15, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 16, 16, 2, 0, 1, 2, 2, 16, 16, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 17, 17, 2, 0, 1, 2, 2, 17, 17, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 18, 18, 2, 0, 1, 2, 2, 18, 18, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 19, 19, 2, 0, 1, 2, 2, 19, 19, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 20, 20, 2, 0, 1, 2, 2, 20, 20, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 21, 21, 1, 1, 2, 0, 1, 2, 2, 21, 21, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 22, 22, 1, 1, 2, 0, 1, 2, 2, 22, 22, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 23, 23, 1, 1, 2, 0, 1, 2, 2, 23, 23, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 24, 24, 2, 0, 1, 2, 2, 24, 24, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 316, 203, 1070, 16539, 1188, 319, 203, 465, 1133, 203, 589, 1420, 26, 3515, 711, 284, 1459, 313, 1945, 9318, 4774, 284, 2322, 32, 2946, 26, 3515, 27, 203, 589, 622, 81, 893, 81, 3534, 26, 3359, 711, 284, 1688, 280, 447, 1676, 14141, 761, 392, 2771, 614, 12532, 47, 18165, 547, 508, 48275, 8532, 34, 79, 284, 540, 280, 316, 32, 6993, 440, 4987, 86, 40935, 101, 28, 106, 19650, 101, 28, 4987, 86, 29, 14451, 284, 345, 280, 540, 32, 1903, 26, 2024, 27, 284, 415, 345, 44, 291, 442, 629, 26, 95, 32, 6332, 8532, 34, 5727, 629, 26, 95, 32, 6332, 8532, 35, 1130, 284, 813, 44, 291, 442, 1665, 30, 1665, 203, 589, 745, 81, 761, 26, 3359, 30, 1861, 711, 284, 1133, 32, 7840, 26, 36, 27, 284, 296, 30, 1447, 280, 2322, 32, 983, 32, 48271, 26, 3359, 27, 284, 1420, 440, 465, 429, 1744, 904, 101, 20, 904, 2771, 27, 284, 1420, 440, 1645, 40302, 429, 96, 225, 35, 40, 429, 88, 904, 101, 20, 904, 2771, 27, 284, 1420, 440, 8391, 904, 101, 31, 40302, 42, 32, 1645, 904, 101, 20, 904, 308, 88, 30, 2771, 490, 203, 4756, 280, 1524, 203, 6772, 44, 5841, 4280, 33, 19765, 1519, 33, 452, 33, 893, 32, 1645, 428, 1644, 79, 203, 6669, 312, 20240, 1471, 313, 465, 2296, 4489, 458, 3261, 30, 461, 1615, 203, 2942, 544, 322, 3223, 844, 2637, 372, 1930, 312, 20240, 432, 32, 203, 2993, 203, 325, 2069, 26, 3731, 32, 6118, 27, 646, 328, 308, 36, 30, 225, 37, 711, 284, 1459, 3049, 284, 5237, 32, 4775, 346, 203, 325, 5237, 32, 6118, 77, 35, 79, 328, 2726, 31, 90, 370, 11363, 4756, 7831, 284, 1459, 3049, 284, 5237, 32, 4775, 346, 203, 1270, 44, 284, 1861, 280, 629, 26, 3731, 32, 6118, 77, 36, 1130, 203, 7343, 44, 284, 1861, 280, 1665, 203, 1409, 81, 761, 26, 3731, 32, 6118, 77, 35, 614, 1861, 27, 203, 1216, 313, 38577, 372, 793, 322, 7155, 308, 776, 93, 13166, 30, 12939, 81, 2576, 27, 6093, 3107, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 3, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 9, 9, 12, 12, 10, 10, 9, 10, 11, 9, 8, 8, 7, 6, 5, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 6, 7, 6, 2, 2, 3, 3, 3, 3, 5, 8, 12, 11, 12, 11, 10, 9, 6, 8, 12, 11, 12, 11, 10, 9, 3, 3, 4, 4, 4, 6, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 2, 2, 5, 8, 8, 8, 8, 8, 8, 6, 6, 5, 2, 2, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 2, 2, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 7, 7, 7, 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, 0, 1, 1, 4, 6, 5, 6, 4, 2, 2, 2, 4, 3, 3, 4, 3, 1, 1, 3, 2, 2, 5, 6, 5, 0, 1, 1, 4, 5, 3, 4, 3, 2, 2, 5, 5, 5, 3, 5, 5, 1, 1, 3, 2, 2, 5, 6, 5, 0, 1, 1, 1, 1, 4, 4, 6, 9, 8, 9, 7, 8, 7, 1, 2, 2, 2, 2, 5, 5, 0, 3, 3, 3, 3, 6, 5, 6, 4, 5, 4, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 0, 4, 4, 0, 5, 5, 2, 1, 2, 5, 5, 0, 1, 1, 0, 4, 4, 0, 2, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 1, 1, 2, 1, 1, 1, 3, 2, 1, 2, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 3, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 3, 3, 4, 4, 4, 0, 1, 1, 0, 7, 7, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 2, 9, 9, 0, 3, 3, 0, 2, 1, 0, 10, 10, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 10, 10, 0, 3, 3, 0, 2, 1, 0, 11, 11, 11, 11, 0, 0, 1, 0, 0, 2, 1, 2, 1, 11, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 13, 13, 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 ]
[ 1070, 3089, 749, 98, 1188, 4950, 4125, 30, 3829, 30, 4549, 203, 823, 9205, 26, 3378, 32, 1243, 711, 284, 617, 6815, 280, 313, 3935, 32, 3245, 20, 284, 617, 426, 280, 313, 3935, 32, 3245, 20, 284, 617, 24525, 280, 5053, 2200, 32, 7909, 950, 330, 7909, 81, 314, 6040, 284, 477, 1237, 32, 1160, 284, 665, 617, 1536, 81, 2468, 81, 314, 26, 784, 711, 291, 442, 630, 32, 2121, 32, 496, 32, 6604, 81, 314, 32, 15699, 81, 314, 284, 2965, 81, 314, 280, 3829, 32, 7434, 36, 658, 26, 291, 330, 575, 32, 15699, 370, 313, 3782, 10634, 392, 1244, 11645, 1536, 81, 2468, 81, 314, 30, 291, 3049, 347, 2438, 2154, 28990, 884, 4740, 657, 284, 3022, 81, 3631, 280, 3829, 32, 3582, 36, 11374, 463, 3935, 32, 45702, 370, 330, 3245, 81, 314, 370, 313, 18959, 657, 284, 3022, 81, 998, 280, 3829, 32, 3061, 26, 7924, 40547, 7924, 81, 3164, 81, 998, 370, 802, 347, 18959, 657, 284, 7884, 81, 314, 280, 3829, 32, 7434, 36, 658, 26, 291, 330, 3935, 32, 11930, 370, 5886, 1057, 18495, 81, 314, 32, 4018, 81, 314, 370, 802, 347, 19051, 10702, 392, 291, 4283, 47, 1815, 30, 2968, 47, 1815, 27, 284, 1256, 81, 314, 280, 3829, 32, 7434, 36, 658, 463, 575, 32, 3707, 370, 313, 435, 30542, 469, 20989, 2612, 1478, 392, 4562, 81, 13488, 1057, 267, 2342, 683, 284, 10019, 81, 3631, 280, 3829, 32, 7434, 36, 11374, 26, 291, 330, 3935, 32, 268, 30542, 469, 32, 9279, 370, 330, 3245, 81, 9279, 81, 2808, 370, 330, 3245, 81, 314, 370, 330, 9279, 81, 314, 370, 291, 330, 3782, 1258, 8522, 370, 291, 1244, 6020, 26, 34, 30, 225, 34, 30, 5053, 426, 950, 30121, 1812, 683, 1748, 1130, 284, 1825, 81, 3631, 280, 3829, 32, 3582, 36, 11374, 463, 476, 32, 13382, 370, 7596, 40547, 7924, 81, 2812, 81, 3631, 370, 802, 347, 18959, 657, 284, 12827, 81, 998, 280, 3829, 32, 3061, 26, 7924, 40547, 7924, 81, 2812, 81, 3631, 370, 802, 347, 11853, 657, 284, 22153, 81, 314, 280, 3829, 32, 7434, 36, 658, 26, 291, 330, 20495, 32, 20495, 370, 313, 1646, 1071, 3720, 392, 291, 3049, 347, 21052, 600, 1426, 1071, 2234, 436, 458, 3992, 2747, 461, 844, 1098, 526, 5300, 372, 1459, 33, 10004, 458, 1426, 1071, 645, 1169, 3587, 2376, 6560, 4871, 436, 458, 3992, 657, 284, 8813, 81, 314, 280, 3829, 32, 7434, 36, 658, 26, 291, 330, 2200, 32, 7909, 370, 313, 7886, 392, 544, 2560, 347, 20757, 392, 2129, 47, 1815, 30, 291, 3049, 347, 4477, 8813, 436, 458, 3992, 2747, 32, 3136, 26914, 1098, 6924, 1487, 537, 3587, 2376, 436, 458, 3992, 2747, 7144, 284, 1963, 280, 3829, 32, 3061, 440, 1514, 6422, 657, 284, 665, 617, 7924, 81, 2812, 81, 3631, 26, 784, 711, 291, 3587, 2376, 280, 630, 32, 19943, 463, 3164, 81, 3631, 1814, 15688, 26, 5962, 630, 44, 646, 630, 32, 957, 81, 314, 27, 291, 1123, 81, 452, 81, 3245, 280, 5436, 1162, 45702, 32, 314, 30, 3587, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 8, 8, 8, 8, 6, 8, 8, 8, 8, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 10, 11, 9, 10, 8, 9, 9, 9, 7, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 6, 8, 8, 8, 6, 7, 8, 8, 8, 8, 8, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 6, 7, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 9, 9, 9, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 7, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 6, 6, 7, 9, 10, 9, 9, 10, 9, 9, 13, 13, 11, 15, 15, 10, 8, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 6, 7, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 6, 7, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 6, 8, 8, 6, 8, 7, 9, 9, 6, 7, 8, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 10, 11, 10, 12, 12, 12, 12, 9, 8, 9, 9, 9, 9, 10, 11, 12, 12, 12, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 11, 10, 11, 9, 9, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 2, 2, 2, 2, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 2, 1, 1, 7, 2, 1, 1, 9, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 5, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 2, 5, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 1, 5, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 5, 1, 2, 1, 7, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 15, 1, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0 ]
[ 1070, 8527, 32, 12023, 32, 2300, 32, 28497, 1188, 3909, 203, 1070, 8527, 32, 12023, 32, 2300, 32, 8774, 1188, 8301, 81, 6229, 13946, 81, 2474, 203, 1070, 8527, 32, 12023, 32, 2300, 32, 2184, 1188, 308, 31389, 30, 676, 10508, 12631, 30, 284, 3678, 4191, 30, 9781, 318, 10144, 30, 12515, 1900, 10144, 27, 203, 1070, 8527, 32, 12023, 32, 2300, 32, 9211, 1188, 308, 720, 2348, 30, 7155, 720, 2348, 30, 284, 5692, 720, 2348, 30, 5069, 1176, 720, 2348, 30, 23097, 1176, 720, 2348, 30, 284, 32186, 1343, 1176, 720, 2348, 30, 2821, 1176, 720, 2348, 30, 3367, 3354, 1176, 720, 2348, 30, 284, 23097, 4495, 1176, 720, 2348, 27, 203, 1070, 8527, 32, 12023, 32, 2300, 32, 12095, 1188, 9128, 7294, 30, 4755, 203, 1070, 8527, 32, 2304, 32, 1647, 81, 6696, 1188, 7120, 431, 297, 4094, 81, 3477, 203, 505, 464, 505, 280, 428, 284, 313, 3317, 392, 313, 8750, 81, 6229, 13946, 81, 2474, 392, 313, 1243, 4191, 392, 313, 31389, 392, 313, 34781, 392, 284, 313, 3113, 318, 10144, 392, 313, 3999, 1900, 10144, 392, 313, 4191, 7294, 392, 313, 2851, 392, 313, 720, 2348, 392, 284, 313, 5291, 720, 2348, 392, 313, 1176, 720, 2348, 392, 313, 39471, 720, 2348, 392, 284, 313, 14903, 1176, 720, 2348, 392, 313, 34887, 1176, 720, 2348, 392, 313, 1547, 1176, 720, 2348, 392, 284, 313, 1934, 3354, 1176, 720, 2348, 392, 313, 14903, 4495, 1176, 720, 2348, 392, 313, 4846, 431, 297, 4094, 392, 203, 79, 203, 589, 7120, 431, 297, 4094, 2262, 284, 7120, 431, 297, 4094, 81, 3477, 463, 2300, 370, 3909, 81, 452, 47, 2851, 27, 203, 1536, 81, 725, 81, 1163, 280, 330, 11025, 32, 12023, 32, 2300, 32, 7491, 32, 4191, 1063, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 7, 7, 5, 7, 7, 6, 7, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 4, 4, 0, 5, 5, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 7, 7, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 1070, 345, 692, 314, 32, 6474, 1188, 676, 37, 54, 203, 1070, 345, 692, 314, 32, 6656, 1237, 1188, 2648, 14888, 15301, 30, 2648, 6499, 16070, 15301, 203, 465, 6436, 619, 2065, 203, 465, 6436, 32, 4266, 619, 310, 385, 203, 823, 4600, 87, 774, 1006, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 13215, 280, 2648, 14888, 15301, 440, 31967, 54, 392, 24470, 2778, 347, 35, 30, 35, 30, 35, 34, 657, 291, 3340, 16070, 280, 2648, 6499, 16070, 15301, 26, 3604, 30, 225, 35, 27, 291, 630, 1114, 11000, 280, 3340, 16070, 32, 371, 34464, 26, 34, 27, 291, 630, 1114, 37159, 280, 225, 35, 87, 31, 36, 284, 665, 894, 81, 470, 81, 19124, 81, 314, 81, 1793, 81, 1327, 81, 314, 26, 784, 711, 291, 2748, 81, 314, 280, 225, 35, 34, 35, 291, 630, 1114, 11000, 32, 470, 14329, 779, 26, 2127, 81, 314, 27, 291, 630, 32, 5299, 26, 784, 1114, 11000, 32, 371, 14329, 779, 1026, 2748, 81, 314, 27, 284, 665, 894, 81, 470, 81, 19124, 81, 314, 81, 1793, 81, 5790, 81, 314, 26, 784, 711, 291, 2748, 81, 314, 280, 429, 35, 291, 630, 32, 23895, 26, 41358, 30, 630, 1114, 11000, 32, 470, 14329, 779, 30, 2748, 81, 314, 27, 284, 665, 894, 81, 470, 81, 1945, 81, 2171, 26, 784, 711, 291, 1420, 81, 2171, 280, 225, 35, 34, 35, 291, 630, 1114, 11000, 32, 470, 2529, 1918, 26, 1945, 81, 2171, 27, 291, 630, 32, 5299, 26, 784, 1114, 11000, 32, 371, 2529, 1918, 1026, 1420, 81, 2171, 27, 284, 665, 894, 81, 470, 81, 8231, 81, 998, 26, 784, 711, 291, 3777, 81, 998, 280, 225, 37, 291, 630, 1114, 11000, 32, 470, 8536, 1534, 26, 1211, 81, 998, 27, 291, 630, 32, 5299, 26, 784, 1114, 11000, 32, 371, 8536, 1534, 1026, 3777, 81, 998, 27, 284, 665, 894, 81, 470, 81, 90, 9928, 81, 464, 81, 269, 81, 8232, 26, 784, 711, 291, 677, 30, 1224, 30, 498, 280, 225, 35, 30, 225, 36, 30, 225, 37, 291, 630, 1114, 11000, 32, 470, 58, 14311, 26, 58, 30, 1224, 30, 498, 27, 291, 630, 32, 5299, 26, 784, 1114, 11000, 32, 371, 58, 1026, 677, 27, 291, 630, 32, 5299, 26, 784, 1114, 11000, 32, 371, 61, 1026, 1224, 27, 291, 630, 32, 5299, 26, 784, 1114, 11000, 32, 371, 62, 1026, 498, 27, 284, 665, 894, 81, 470, 81, 90, 9928, 81, 266, 27710, 3405, 26, 784, 711, 291, 677, 30, 1224, 30, 498, 280, 225, 35, 30, 225, 36, 30, 225, 37, 291, 630, 1114, 11000, 32, 470, 58, 26, 58, 27, 291, 630, 1114, 11000, 32, 470, 61, 26, 61, 27, 291, 630, 1114, 11000, 32, 470, 62, 26, 62, 27, 291, 630, 32, 5299, 26, 784, 1114, 11000, 32, 371, 58, 1026, 677, 27, 291, 630, 32, 5299, 26, 784, 1114, 11000, 32, 371, 61, 1026, 1224, 27, 291, 630, 32, 5299, 26, 784, 1114, 11000, 32, 371, 62, 1026, 498, 27, 284, 665, 894 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 10, 10, 10, 8, 10, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 6, 6, 8, 8, 8, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 9, 8, 9, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 10, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 4, 4, 7, 8, 7, 8, 7, 7, 9, 10, 8, 9, 9, 9, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 10, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 10, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 8, 7, 7, 8, 7, 7, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 9, 7, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 9, 7, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 9, 7, 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, 7, 7, 8, 7, 7, 8, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 9, 7, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 9, 7, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 9, 7, 7, 2, 2, 3 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 0, 2, 1, 1, 2, 0, 5, 5, 1, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 1, 5, 5, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 7 ]
[ 1070, 638, 9211, 1188, 319, 203, 1070, 638, 17483, 2487, 1188, 319, 203, 1070, 638, 37654, 1188, 319, 203, 1070, 638, 12079, 1728, 1188, 319, 203, 1070, 638, 30840, 10537, 1188, 319, 203, 505, 1648, 505, 280, 330, 36, 32, 34, 25, 203, 505, 464, 505, 280, 428, 101, 436, 309, 328, 4921, 346, 415, 646, 309, 32, 15990, 14728, 12357, 203, 1070, 18414, 1114, 1356, 1114, 858, 2304, 1188, 4354, 858, 18587, 203, 858, 280, 4354, 858, 18587, 4064, 426, 8223, 203, 4025, 4354, 858, 18587, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 4, 4, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 4, 1, 1, 0, 1, 1, 4, 4, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 6, 3, 4, 5, 7, 8, 7, 9, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 4, 5, 5, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 3, 1, 0, 2, 1, 2, 0, 7, 7, 1, 2, 1, 4, 4, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 9, 9, 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 ]
[ 44886, 28775, 81, 14880, 81, 10870, 280, 313, 74, 31, 69, 1462, 9132, 31, 14554, 7473, 20, 203, 2554, 81, 4065, 280, 3056, 104, 35, 33, 5057, 25, 203, 5807, 81, 6191, 280, 301, 284, 313, 1366, 81, 43102, 81, 3426, 563, 2933, 30, 284, 313, 7211, 81, 7568, 563, 225, 37, 34, 34, 34, 34, 30, 284, 313, 1449, 81, 2668, 81, 891, 563, 225, 35, 34, 34, 34, 34, 30, 284, 313, 887, 81, 2668, 81, 891, 563, 225, 35, 34, 34, 30, 284, 313, 2714, 81, 5457, 563, 225, 37, 34, 34, 34, 34, 30, 284, 313, 22078, 563, 313, 13621, 20, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 11, 1, 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 ]
[ 465, 16672, 203, 465, 13625, 203, 465, 5741, 203, 465, 5237, 203, 465, 1344, 4071, 203, 465, 2322, 203, 1070, 2771, 2872, 1188, 2771, 2872, 203, 1070, 25679, 1188, 298, 1643, 203, 465, 5554, 81, 2282, 619, 5554, 203, 7383, 1392, 81, 23833, 81, 3307, 280, 330, 9059, 366, 31, 4280, 32, 268, 1439, 31, 1877, 32, 19569, 31, 6586, 25, 203, 7383, 1392, 81, 26138, 81, 3307, 280, 330, 9059, 366, 31, 4280, 32, 268, 1439, 31, 1877, 32, 19569, 31, 42603, 25, 203, 589, 2290, 81, 601, 81, 6586, 81, 42603, 2262, 334, 442, 81, 6586, 280, 5554, 32, 1163, 26, 7383, 1392, 81, 23833, 81, 3307, 27, 334, 1389, 1515, 280, 5554, 32, 1163, 26, 7383, 1392, 81, 26138, 81, 3307, 27, 334, 415, 646, 442, 81, 6586, 44, 284, 1389, 1515, 280, 2322, 32, 33115, 346, 284, 5554, 32, 470, 81, 1163, 26, 7383, 1392, 81, 26138, 81, 3307, 30, 1389, 1515, 27, 284, 442, 81, 6586, 280, 5554, 32, 1700, 81, 6586, 346, 284, 415, 442, 81, 6586, 863, 330, 6896, 950, 397, 5554, 32, 470, 81, 1163, 26, 7383, 1392, 81, 23833, 81, 3307, 30, 442, 81, 6586, 27, 334, 442, 442, 81, 6586, 30, 1389, 1515, 203, 589, 5630, 81, 3546, 8338, 26, 6586, 81, 3242, 711, 334, 5630, 81, 3963, 280, 3177, 334, 5387, 8338, 280, 739, 346, 334, 2604, 81, 470, 280, 5554, 32, 3963, 346, 334, 5630, 2285, 81, 1110, 280, 2149, 334, 1169, 81, 5140, 2285, 81, 15752, 280, 5554, 32, 1163, 81, 18349, 26, 100, 28249, 7001, 78, 497, 28, 8169, 5140, 683, 334, 436, 5630, 2285, 81, 1163, 328, 1169, 81, 5140, 2285, 81, 15752, 44, 284, 1202, 30, 4950, 5630, 2285, 280, 5630, 2285, 81, 1163, 32, 11458, 463, 11134, 284, 3466, 81, 2285, 280, 5630, 2285, 32, 11458, 16487, 11968, 36, 79, 284, 6562, 81, 426, 280, 1202, 32, 2998, 3949, 11968, 35, 79, 284, 5630, 2285, 81, 1110, 77, 3316, 81, 2285, 79, 280, 6562, 81, 426, 334, 436, 2935, 328, 5573, 81, 3242, 32, 1731, 2810, 2262, 284, 415, 2935, 328, 2604, 81, 470, 44, 397, 5630, 81, 3963, 280, 2933, 284, 813, 44, 397, 3536, 81, 612, 280, 5554, 32, 1945, 463, 9882, 31, 2208, 370, 11363, 101, 18148, 31, 2620, 31, 426, 370, 2935, 27, 397, 436, 3466, 81, 2285, 30, 6562, 81, 426, 328, 5630, 2285, 81, 1110, 32, 40957, 2262, 291, 415, 2771, 2872, 26, 2620, 81, 612, 30, 3466, 81, 2285, 711, 616, 5387, 8338, 32, 669, 26, 7001, 81, 426, 27, 616, 1626, 334, 5630, 81, 1132, 280, 1605, 334, 415, 5630, 81, 3963, 44, 284, 5630, 81, 1132, 280, 2107, 287, 464, 785, 334, 813, 44, 284, 5630, 81, 1132, 32, 1689, 12664, 12565, 683, 284, 5630, 81, 1132, 32, 8233, 26, 3546, 8338, 27, 334, 415, 646, 5630, 81, 1132, 44, 10065, 1459, 330, 17990, 372, 5630, 4564, 334, 813, 44, 284, 5554, 32, 1945, 81, 1793, 81, 8228, 463, 5140, 370, 319, 5140, 81, 1132, 30, 12532, 47, 3731, 32, 9362, 30, 715, 16154, 47, 3731 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 4, 4, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 6, 7, 6, 7, 7, 7, 7, 7, 7, 6, 2, 2, 3, 4, 5, 5, 3, 3, 3, 7, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 7, 7, 6, 6, 8, 8, 5, 5, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 9, 2, 2, 3, 5, 5, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 4, 4, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 7, 7, 7, 8, 6, 6, 9, 9, 9, 8, 9, 8, 10, 4, 4, 7, 7, 6, 6, 10, 9, 10, 9, 11, 8, 7, 4, 4, 7, 7, 6, 6, 9, 10, 9, 11, 8, 7, 4, 4, 8, 8, 8, 7, 8, 8, 8, 7, 6, 6, 7, 7, 2, 2, 3, 3, 3, 6, 6, 5, 6, 6, 5, 3, 3, 5, 6, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 5, 5, 6, 6, 6, 10, 10, 9, 9, 11, 12, 11, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 11, 11, 7, 7, 8, 10, 10, 9, 9, 10, 10, 8, 8, 11, 11, 11, 10, 11, 10, 8, 8, 10, 12, 12, 13, 13, 13, 12, 12, 13, 13, 12, 10, 10, 15, 14, 15, 14, 15, 15, 15, 14, 11, 11, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 7, 7, 6, 6, 9, 9, 9, 3, 3, 4, 4, 4, 9, 9, 8, 9, 8, 10, 10, 5, 5, 9, 9, 8, 9, 8, 9, 9, 8, 2, 2, 3, 4, 5, 5, 3, 3, 3, 5, 7, 7, 7, 7, 3, 3, 4, 4, 4, 8, 9, 9, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 7, 7, 0, 0, 8, 8, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 3, 0, 0, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 0, 0, 1, 1, 2, 0, 12, 12, 1, 1, 1, 2, 1, 1, 1, 2, 12, 12, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 5, 5, 3, 3, 3, 3, 3, 5, 5, 5, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 6, 6, 6, 0, 0, 0, 2, 2, 1, 6, 6, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 4, 4, 0, 0, 0, 0, 4, 4, 8, 1, 1, 8, 8, 8, 0, 0, 0, 0, 1, 1, 2, 8, 8, 4, 4, 4, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 9, 1, 1, 1, 9, 9, 9, 0, 1, 1, 1, 1, 9, 9, 4, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 7, 0 ]
[ 1070, 5193, 1188, 17909, 3350, 203, 1070, 5391, 5804, 1188, 5391, 5804, 203, 823, 13005, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 9059, 3997, 280, 5391, 5804, 346, 291, 630, 32, 9059, 3997, 32, 8233, 7760, 1386, 10198, 605, 33, 9059, 1553, 36, 683, 291, 630, 32, 9059, 3997, 32, 944, 81, 1112, 2402, 10198, 605, 33, 1112, 31, 3137, 32, 1771, 683, 291, 630, 32, 24892, 972, 280, 17909, 3350, 346, 284, 665, 1968, 81, 1160, 26, 784, 711, 291, 630, 32, 9059, 3997, 32, 1832, 81, 4741, 8770, 26, 36, 34, 34, 30, 4963, 605, 33, 31670, 32, 1771, 683, 284, 665, 2454, 81, 1160, 26, 784, 711, 291, 630, 32, 9059, 3997, 32, 944, 81, 4741, 8770, 10198, 605, 33, 31670, 32, 1771, 683, 284, 665, 5683, 81, 18107, 26, 784, 30, 5430, 711, 291, 341, 280, 630, 32, 24892, 972, 32, 850, 81, 5914, 26, 4446, 77, 34, 1130, 291, 533, 280, 630, 32, 24892, 972, 32, 850, 81, 9277, 26, 4446, 77, 35, 1130, 291, 1459, 330, 5608, 2524, 26, 106, 77, 34, 79, 436, 816, 328, 341, 27, 291, 630, 32, 9059, 3997, 32, 1832, 81, 19735, 46844, 81, 3350, 26, 107, 27, 284, 665, 10128, 81, 9582, 26, 784, 30, 3082, 81, 761, 711, 291, 630, 32, 9059, 3997, 32, 2853, 68, 7677, 26, 1199, 81, 761, 27, 284, 665, 2454, 81, 9582, 26, 784, 30, 3082, 81, 761, 711, 291, 630, 32, 9059, 3997, 32, 944, 68, 7677, 26, 1199, 81, 761, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 8, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 8, 9, 9, 7, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 7, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 7, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 10, 9, 10, 9, 4, 4, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 10, 9, 10, 9, 4, 4, 5, 9, 8, 7, 9, 8, 9, 8, 7, 8, 8, 8, 7, 4, 4, 8, 9, 9, 7, 8, 8, 8, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 9, 9, 7, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 9, 9, 7, 8, 8, 8, 7, 8, 8, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 525, 1188, 17874, 11445, 203, 1070, 8527, 32, 2304, 32, 2613, 1188, 7841, 81, 2613, 81, 2435, 203, 23475, 81, 22453, 81, 9857, 940, 280, 18623, 26, 3550, 30, 330, 23475, 81, 22453, 81, 9857, 940, 370, 22975, 203, 2576, 81, 23475, 81, 22453, 81, 9857, 940, 280, 18623, 26, 3550, 30, 330, 2576, 81, 23475, 81, 22453, 81, 9857, 940, 370, 22975, 203, 33891, 81, 16799, 69, 280, 18623, 26, 3550, 30, 330, 33891, 81, 16799, 69, 370, 1665, 27, 203, 10007, 81, 613, 9674, 1345, 81, 47442, 280, 18623, 26, 3550, 30, 330, 10007, 81, 613, 9674, 1345, 81, 47442, 370, 22975, 203, 10007, 81, 613, 9674, 1345, 81, 6177, 81, 47442, 280, 8825, 26, 983, 32, 38848, 24667, 474, 13637, 6619, 436, 1519, 328, 11887, 81, 613, 9674, 1345, 81, 47442, 27, 203, 823, 10653, 5413, 11063, 26, 1473, 711, 284, 665, 2164, 81, 1357, 26, 784, 30, 1326, 711, 291, 436, 5202, 328, 4435, 81, 23475, 81, 22453, 81, 9857, 940, 44, 324, 415, 1326, 32, 983, 32, 15990, 26, 4254, 711, 400, 442, 1665, 291, 436, 5202, 328, 48466, 81, 22453, 81, 9857, 940, 44, 324, 415, 1326, 32, 983, 32, 15990, 26, 4254, 27, 461, 766, 528, 646, 1326, 32, 496, 32, 297, 81, 22297, 2262, 400, 645, 8527, 32, 12023, 32, 2393, 32, 4338, 1188, 5668, 81, 452, 81, 3615, 400, 442, 5668, 81, 452, 81, 3615, 26, 1357, 32, 371, 81, 2620, 81, 983, 1157, 291, 442, 1665, 203, 823, 18115, 11063, 26, 1473, 711, 284, 665, 2164, 81, 1357, 26, 784, 30, 1326, 711, 291, 3408, 280, 1326, 32, 371, 81, 2035, 922, 2998, 16487, 11968, 34, 79, 291, 415, 308, 3550, 32, 2897, 556, 3408, 610, 330, 858, 1786, 25, 556, 400, 646, 41272, 1345, 81, 16799, 69, 556, 400, 1326, 32, 14254, 32, 371, 463, 5068, 81, 74, 81, 6870, 28137, 81, 3754, 567, 683, 610, 330, 1508, 25, 556, 400, 1326, 32, 983, 32, 15990, 3247, 81, 2371, 25844, 556, 400, 1326, 32, 983, 328, 11887, 81, 613, 9674, 1345, 81, 47442, 556, 400, 1326, 32, 983, 32, 15990, 26, 10007, 81, 613, 9674, 1345, 81, 6177, 81, 47442, 8531, 324, 442, 291, 415, 3408, 646, 328, 4070, 32, 33891, 81, 16799, 69, 44, 324, 442, 17874, 11445, 463, 525, 555, 25, 474, 4070, 32, 33891, 81, 16799, 69, 77, 34, 79, 2476, 474, 1326, 32, 983, 27, 203, 823, 3139, 6705, 2597, 11063, 26, 1473, 711, 284, 665, 2164, 81, 1986, 26, 784, 30, 1326, 30, 1789, 711, 291, 415, 330, 32022, 25, 646, 328, 1789, 461, 766, 400, 330, 2597, 31, 2422, 25, 646, 328, 1789, 461, 766, 400, 19326, 26, 1357, 30, 330, 2848, 683, 461, 766, 400, 1326, 32, 496, 32, 297, 81, 22297, 2262, 324, 7841, 81, 2613, 81, 2435, 26, 1986, 30, 400, 1289, 81, 2157, 47, 1815, 30, 1289, 81, 2613, 47, 1815, 30, 2298, 81, 268, 4635, 47, 1815, 30, 1769, 81, 381, 47, 34, 27, 291, 442, 1789, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 8, 7, 8, 7, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 7, 10, 11, 9, 10, 9, 10, 9, 7, 7, 9, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 7, 11, 12, 10, 11, 10, 11, 10, 8, 8, 9, 8, 9, 12, 13, 11, 12, 12, 12, 11, 7, 7, 9, 10, 11, 10, 11, 10, 11, 9, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 14, 13, 14, 14, 14, 14, 14, 13, 4, 4, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 11, 12, 12, 12, 11, 10, 9, 11, 8, 7, 4, 4, 5, 14, 13, 14, 12, 12, 13, 13, 15, 15, 15, 11, 11, 11, 12, 13, 13, 13, 13, 10, 10, 10, 14, 15, 13, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 11, 11, 13, 13, 9, 9, 9, 12, 13, 11, 12, 11, 13, 13, 13, 8, 8, 8, 10, 11, 9, 9, 10, 10, 10, 10, 10, 10, 7, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 5, 5, 4, 4, 5, 6, 6, 6, 7, 8, 8, 8, 8, 5, 5, 5, 7, 9, 9, 13, 13, 13, 11, 11, 13, 14, 14, 14, 14, 12, 13, 12, 10, 10, 10, 11, 12, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 11, 11, 9, 9, 9, 8, 8, 8, 8, 11, 11, 11, 11, 9, 9, 9, 7, 7, 8, 7, 9, 10, 9, 9, 11, 11, 6, 6, 7, 6, 9, 10, 8, 9, 9, 9, 8, 5, 5, 9, 9, 9, 9, 9, 10, 9, 9, 9, 11, 11, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 11, 11, 11, 10, 11, 9, 9, 11, 11, 10, 11, 9, 4, 4, 5, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 1, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 4, 4, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 0, 3, 3, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 2, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 4, 4, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 10, 10, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 0, 0, 0, 7, 2, 1, 1, 0, 0, 9, 2, 1, 4, 4, 1, 0, 0, 0 ]
[ 1070, 18971, 1188, 1984, 81, 979, 203, 1070, 18971, 81, 3615, 1188, 6207, 81, 496, 203, 589, 894, 81, 890, 81, 2250, 81, 1981, 81, 426, 26, 1580, 30, 6207, 711, 284, 5127, 280, 2043, 32, 1526, 26, 965, 81, 979, 463, 7854, 32, 890, 81, 2250, 1425, 706, 12516, 426, 950, 4247, 1748, 284, 1201, 5127, 32, 1517, 81, 687, 610, 225, 38, 34, 34, 284, 1201, 5127, 32, 1260, 710, 4275, 4902, 426, 785, 203, 589, 894, 81, 890, 81, 2250, 81, 3127, 26, 1580, 30, 6207, 711, 284, 5127, 280, 2043, 32, 1526, 26, 965, 81, 979, 463, 7854, 32, 890, 81, 2250, 1425, 706, 12516, 426, 950, 330, 1812, 5412, 18143, 284, 1201, 5127, 32, 1517, 81, 687, 610, 225, 36, 34, 34, 284, 1201, 5127, 32, 1260, 710, 314, 785, 284, 1201, 5127, 32, 1260, 710, 426, 785, 610, 330, 1812, 5412, 25, 284, 1201, 5127, 32, 1260, 710, 7794, 785, 610, 330, 890, 31, 2250, 25, 284, 1201, 5127, 32, 1260, 710, 5632, 81, 314, 785, 610, 6207, 32, 314, 203, 589, 894, 81, 890, 81, 2250, 81, 4148, 565, 26, 1580, 30, 6207, 711, 284, 5127, 280, 2043, 32, 1526, 26, 965, 81, 979, 463, 7854, 32, 890, 81, 2250, 1425, 706, 12516, 426, 950, 330, 1812, 5412, 18143, 284, 5127, 280, 2043, 32, 1526, 26, 965, 81, 979, 463, 7854, 32, 890, 81, 2250, 1425, 706, 12516, 426, 950, 330, 1812, 5412, 18143, 284, 1201, 5127, 32, 1517, 81, 687, 610, 225, 38, 34, 34, 284, 1201, 5127, 32, 1260, 710, 4275, 4902, 426, 785, 610, 2107, 86, 22894, 17310, 32, 785, 203, 589, 894, 81, 890, 81, 2250, 81, 2372, 18540, 81, 7794, 26, 1580, 30, 6207, 711, 284, 5127, 280, 2043, 32, 1526, 26, 965, 81, 979, 463, 7854, 32, 890, 81, 2250, 1425, 706, 12516, 426, 950, 330, 1812, 5412, 18143, 284, 1201, 5127, 32, 1260, 710, 7794, 785, 610, 330, 890, 31, 2250, 25, 284, 5127, 280, 2043, 32, 1526, 26, 965, 81, 979, 463, 7854, 32, 890, 81, 2250, 1425, 706, 12516, 426, 950, 330, 890, 2074, 18143, 284, 1201, 5127, 32, 1517, 81, 687, 610, 225, 38, 34, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 6, 7, 11, 11, 9, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 5, 5, 2, 2, 3, 6, 7, 5, 7, 7, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 6, 7, 11, 11, 9, 11, 11, 11, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 5, 5, 2, 2, 3, 5, 6, 4, 6, 6, 2, 2, 3, 6, 7, 5, 7, 7, 4, 4, 6, 6, 6, 2, 2, 3, 6, 7, 5, 7, 7, 4, 4, 6, 6, 6, 6, 2, 2, 3, 6, 7, 5, 7, 7, 7, 7, 4, 4, 5, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 6, 7, 11, 11, 9, 11, 11, 11, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 6, 7, 11, 11, 9, 11, 11, 11, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 5, 5, 2, 2, 3, 7, 8, 6, 8, 8, 7, 7, 4, 4, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 6, 7, 11, 11, 9, 11, 11, 11, 2, 2, 3, 6, 7, 5, 7, 7, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 6, 7, 11, 11, 9, 11, 11, 11, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 2, 0, 2, 0, 1, 2, 1, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 2, 0, 2, 1, 1, 2, 4, 4, 3, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 4, 4, 4, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 5, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 4, 4, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 3, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 4, 4, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 4, 4, 3, 0, 2, 2, 2, 1, 1, 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 ]
[ 505, 464, 505, 280, 2107, 13006, 1195, 13006, 6849, 1195, 14748, 1195, 88, 374, 557, 100, 1195, 16243, 836, 1195, 5346, 43, 34, 1195, 2754, 1195, 2754, 103, 370, 2607, 330, 359, 335, 1195, 104, 19173, 1195, 22161, 36, 86, 1195, 3965, 81, 7711, 370, 2607, 330, 359, 335, 81, 7711, 1195, 359, 335, 81, 7711, 81, 1070, 1195, 2754, 103, 81, 7711, 1195, 2754, 103, 81, 7711, 81, 1070, 370, 2607, 1481, 203, 1070, 6436, 32, 1262, 32, 10125, 1188, 619, 1813, 955, 30, 5040, 30, 27799, 30, 2099, 682, 30, 766, 275, 22483, 30, 10761, 81, 2228, 30, 22213, 30, 11668, 30, 619, 955, 30, 1169, 1508, 30, 2154, 30, 766, 275, 3502, 203, 589, 296, 374, 557, 100, 26, 95, 711, 284, 345, 280, 619, 1813, 955, 26, 95, 27, 284, 415, 345, 32, 29704, 333, 225, 36, 44, 291, 3636, 10091, 30, 313, 1612, 2298, 526, 2377, 225, 36, 31, 86, 3107, 284, 442, 345, 6894, 2037, 31, 35, 79, 203, 589, 19567, 836, 26, 95, 711, 284, 345, 280, 619, 1813, 955, 26, 95, 27, 284, 415, 345, 32, 29704, 333, 225, 35, 44, 291, 3636, 10091, 30, 313, 1612, 2298, 526, 2377, 225, 35, 31, 86, 3107, 284, 442, 345, 77, 23523, 35, 30, 37597, 203, 589, 5028, 43, 34, 26, 95, 30, 831, 47, 35, 711, 284, 345, 280, 619, 1813, 955, 26, 95, 27, 284, 415, 345, 32, 29704, 333, 225, 36, 44, 291, 3636, 10091, 30, 313, 1612, 2298, 2377, 225, 36, 31, 86, 3107, 284, 831, 280, 831, 904, 225, 38, 284, 415, 831, 610, 225, 34, 44, 442, 345, 284, 4348, 831, 610, 225, 35, 44, 442, 296, 374, 557, 100, 26, 95, 547, 10415, 15019, 26, 34, 30, 35, 27, 284, 4348, 831, 610, 225, 36, 44, 442, 296, 374, 557, 100, 26, 16243, 836, 26, 95, 490, 284, 813, 44, 442, 296, 374, 557, 100, 26, 95, 32, 10415, 15019, 26, 34, 30, 35, 490, 261, 203, 589, 25397, 26, 64, 30, 488, 47, 2521, 30, 831, 47, 34, 30, 9710, 47, 1808, 711, 284, 415, 488, 438, 1665, 44, 291, 488, 280, 489, 284, 345, 280, 22483, 1162, 64, 30, 488, 471, 9710, 47, 12010, 27, 284, 415, 831, 2377, 488, 44, 291, 442, 345, 284, 415, 831, 2377, 225, 34, 44, 291, 595, 280, 831, 284, 813, 44, 291, 595, 280, 7197, 93, 27, 319, 488, 284, 345, 2867, 63, 31, 93, 997, 6849, 77, 91, 403, 63, 29, 35, 79, 280, 225, 35, 284, 442, 345, 203, 589, 15534, 26, 104, 30, 831, 47, 34, 711, 284, 354, 280, 619, 955, 26, 104, 27, 284, 309, 280, 354, 32, 3229, 284, 415, 2069, 26, 101, 27, 610, 225, 35, 44, 291, 310, 280, 309, 77, 34, 6155, 3596, 26, 93, 27, 291, 736, 280, 22483, 1162, 96, 30, 96, 471, 354, 32, 12010, 27, 291, 415, 831, 2377, 225, 34, 44, 324, 595, 280, 831, 291, 813, 44, 324, 595, 280, 7197, 93, 27, 319, 310, 291, 736, 2867, 96, 31, 93, 997, 6849, 77, 91 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 5, 6, 4, 4, 5, 3, 3, 3, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 6, 7, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 5, 6, 4, 4, 5, 3, 3, 3, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 5, 7, 4, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 5, 6, 4, 4, 5, 3, 3, 3, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 5, 5, 6, 2, 2, 3, 4, 4, 5, 3, 3, 5, 3, 3, 4, 5, 5, 6, 4, 4, 6, 10, 10, 10, 10, 11, 10, 9, 9, 8, 9, 8, 9, 8, 3, 3, 4, 5, 5, 6, 4, 4, 6, 8, 8, 8, 8, 10, 10, 10, 11, 10, 3, 3, 4, 4, 6, 8, 8, 8, 8, 11, 10, 11, 11, 10, 11, 10, 11, 10, 0, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 2, 2, 4, 4, 6, 8, 7, 7, 7, 6, 7, 8, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 2, 2, 3, 4, 4, 5, 3, 3, 3, 6, 6, 3, 3, 4, 4, 4, 7, 7, 11, 9, 8, 8, 2, 2, 7, 10, 9, 10, 7, 7, 5, 7, 6, 8, 7, 8, 5, 4, 4, 5, 2, 2, 3, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 6, 7, 6, 2, 2, 4, 4, 5, 6, 2, 2, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 6, 6, 8, 9, 8, 9, 9, 10, 9, 4, 4, 6, 6, 8, 10, 9, 10, 9, 8, 9, 10, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 8, 8, 5, 5, 6, 6, 6, 9, 9, 13, 11, 10, 10, 4, 4, 9, 12, 11, 12, 9, 9, 7, 9 ]
[ 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 11, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 26, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 1, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 2, 1, 1, 4, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 3, 1, 1, 2, 3, 3, 0, 3, 3, 4, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 3, 1, 3, 3, 5, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 3, 3, 6, 6, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 3, 1, 0, 0, 5, 5, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 5, 5, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 0, 3, 3, 4, 4, 4, 0, 0, 1, 0, 2, 2, 4, 4, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 3, 2, 0, 0, 0, 2, 4, 4, 5, 0, 6, 6, 2, 1, 2, 2, 3, 2, 2, 6, 6, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 3, 1, 1, 3, 2, 1, 3, 3, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 4, 0, 0, 1, 0, 2, 2, 3, 3, 0, 0, 1, 2, 0, 2, 0, 0 ]
[ 465, 13625, 203, 465, 5741, 203, 465, 2322, 203, 465, 316, 203, 465, 1671, 203, 465, 5237, 203, 823, 617, 1883, 1972, 26, 7490, 32, 1972, 711, 334, 665, 9533, 26, 784, 30, 3627, 711, 284, 3097, 203, 81, 22228, 280, 5741, 32, 10579, 463, 510, 45427, 683, 203, 81, 22228, 32, 669, 1972, 2176, 1883, 1972, 1157, 203, 823, 37648, 5944, 26, 1473, 711, 334, 617, 21589, 280, 316, 32, 6993, 26, 100, 28249, 25, 715, 330, 12390, 66, 46, 17073, 13119, 48113, 34, 31, 43, 44340, 330, 715, 3228, 1162, 49, 66, 46, 6283, 4503, 40935, 27, 330, 715, 330, 12390, 66, 46, 6103, 8828, 68, 3181, 76, 4146, 1130, 330, 715, 330, 12390, 66, 46, 5475, 779, 13119, 48113, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 66, 47517, 13119, 48113, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 9564, 13119, 48113, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 35872, 81, 15422, 13119, 48113, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 2328, 57, 779, 13119, 48113, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 6880, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 4683, 48393, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 3103, 10192, 780, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 1400, 42437, 780, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 53, 1400, 42437, 780, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 1068, 9064, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 635, 9064, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 41425, 9064, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 53, 635, 9064, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 28185, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 64, 4546, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 5493, 81, 32552, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 780, 18688, 5975, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 7383, 4804, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 72, 3364, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 34300, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 34300, 38920, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 7383, 3521, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 3285, 3521, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 7383, 14421, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 61, 635, 61, 28113, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 61, 635, 2223, 2027, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 27852, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 10322, 1345, 8828, 34, 31, 43, 44340, 330, 715, 330, 12390, 66, 46, 14840, 24111, 8828, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 0, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 0, 4, 4, 3, 4, 4, 3, 5, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 6, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 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, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 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, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 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, 7, 7, 9, 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, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 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, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 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, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 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, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 6, 6, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19571, 203, 465, 1133, 203, 465, 2322, 203, 1070, 4842, 1691, 32, 11250, 32, 11518, 32, 1237, 1188, 2164, 81, 1001, 15192, 203, 1070, 4842, 1691, 32, 11250, 32, 11518, 32, 30377, 1188, 439, 3434, 2626, 10075, 203, 589, 5547, 101, 81, 4689, 2262, 284, 298, 761, 280, 3056, 3699, 33, 45577, 33, 27305, 33, 878, 81, 1286, 81, 3287, 32, 30105, 25, 284, 10128, 280, 19571, 32, 944, 26, 1676, 26, 98, 761, 30, 330, 4506, 2847, 284, 1169, 81, 9436, 101, 280, 10128, 710, 2862, 1967, 785, 284, 5547, 81, 10410, 280, 428, 35, 34, 79, 284, 6496, 280, 1605, 284, 436, 2385, 328, 5547, 81, 10410, 44, 291, 1459, 463, 13643, 18487, 683, 291, 1459, 463, 1534, 12454, 2385, 27, 291, 1459, 463, 13643, 18487, 683, 291, 623, 2156, 463, 11518, 81, 10850, 81, 751, 32, 2760, 370, 330, 83, 683, 619, 296, 44, 324, 296, 32, 1821, 463, 19971, 461, 8202, 330, 474, 596, 26, 998, 27, 474, 330, 9436, 101, 78, 96, 683, 291, 1477, 81, 1003, 280, 1133, 32, 1003, 346, 291, 415, 2385, 438, 1665, 44, 324, 5547, 81, 19113, 280, 1169, 81, 9436, 101, 291, 813, 44, 324, 5547, 81, 19113, 280, 1169, 81, 9436, 101, 2867, 998, 79, 324, 1201, 26, 1657, 26, 9436, 81, 19113, 27, 610, 2385, 27, 291, 1406, 15192, 81, 1515, 280, 330, 1001, 15192, 16436, 474, 596, 26, 998, 27, 291, 2322, 32, 10174, 26, 1001, 15192, 81, 1515, 27, 291, 1406, 10075, 280, 439, 3434, 2626, 10075, 26, 1001, 15192, 81, 1515, 27, 291, 1406, 10075, 32, 32623, 81, 9436, 81, 668, 26, 9436, 81, 19113, 27, 291, 1688, 81, 1515, 280, 330, 2024, 16436, 474, 596, 26, 998, 27, 291, 2322, 32, 10174, 26, 2024, 81, 1515, 27, 291, 4749, 280, 2164, 81, 1001, 15192, 26, 30377, 30, 225, 42, 30, 1688, 81, 1515, 27, 291, 1459, 463, 26527, 12454, 4749, 32, 23142, 27, 291, 1688, 81, 24088, 280, 330, 11518, 81, 15192, 81, 9436, 101, 16436, 474, 596, 26, 998, 27, 474, 5608, 30105, 25, 291, 19571, 32, 5937, 26, 639, 30, 2156, 26, 2024, 81, 24088, 30, 330, 12108, 2847, 291, 709, 12469, 81, 101, 280, 1133, 32, 1003, 346, 429, 1477, 81, 1003, 291, 709, 12469, 81, 887, 280, 709, 12469, 81, 101, 517, 225, 40, 34, 32, 34, 291, 6496, 32, 1689, 26, 1030, 10152, 81, 887, 27, 291, 623, 2156, 463, 11518, 81, 10850, 81, 751, 32, 2760, 370, 330, 83, 683, 619, 296, 44, 324, 296, 32, 1821, 463, 9695, 1259, 9019, 44, 11134, 324, 296, 32, 1821, 26, 13707, 26, 5571, 490, 324, 296, 32, 1821, 9442, 96, 683, 284, 1459, 463, 9695, 28601, 284, 1459, 26, 5571, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 5547, 101, 81, 4689, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 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, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 9, 9, 8, 8, 10, 10, 2, 2, 5, 5, 5, 4, 4, 5, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 5, 2, 2, 4, 4, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 7, 9, 9, 9, 4, 4, 7, 9, 9, 7, 7, 4, 4, 7, 9, 9, 9, 4, 4, 5, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 8, 8, 5, 5, 5, 9, 10, 9, 13, 13, 13, 13, 11, 11, 13, 14, 13, 10, 10, 12, 12, 13, 13, 12, 4, 4, 7, 7, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 9, 9, 9, 5, 5, 6, 6, 6, 10, 10, 9, 9, 11, 11, 11, 10, 12, 10, 7, 7, 9, 12, 12, 13, 13, 13, 12, 10, 10, 9, 4, 4, 7, 7, 7, 6, 6, 9, 9, 9, 7, 7, 9, 10, 9, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 4, 4, 7, 6, 6, 8, 8, 8, 8, 9, 9, 9, 9, 8, 4, 4, 8, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 9, 9, 7, 7, 9, 10, 9, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 6, 6, 8, 8, 8, 8, 9, 8, 8, 9, 8, 8, 9, 9, 8, 4, 4, 7, 9, 9, 7, 8, 9, 7, 4, 4, 7, 7, 6, 6, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 7, 7, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 9, 10, 10, 10, 9, 9, 11, 11, 4, 4, 7, 7, 7, 6, 6, 9, 10, 9, 7, 7, 8, 8, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 7, 7, 8, 8, 8, 8, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 4, 4, 5, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 8, 8, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 6, 6, 9, 10, 9, 11, 11, 12, 11, 6, 6, 9, 10, 9, 12, 11, 2, 2, 5, 7, 7, 2, 2, 5, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 0, 5, 5, 1, 1, 1, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 4, 4, 5, 5, 5, 3, 3, 5, 5, 5, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 2, 5, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 5, 5, 5, 1, 1, 5, 5, 5, 0, 0, 0, 0, 2, 2, 2, 5, 5, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 5, 5, 1, 1, 1, 1, 3, 2, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 19, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 19, 19, 19, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 0, 1, 1, 1, 3, 3, 0, 2, 1, 0, 2, 4, 4, 1, 1, 1, 4, 4, 1, 1, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]