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, 6436, 619, 2065, 203, 465, 2322, 203, 465, 5237, 203, 465, 1133, 203, 1070, 2813, 1380, 418, 86, 1188, 1201, 81, 5905, 203, 1070, 2813, 1380, 418, 86, 32, 22014, 101, 1188, 31907, 17962, 30, 31907, 3050, 23967, 31598, 378, 203, 1070, 2813, 1380, 418, 86, 32, 13944, 94, 4044, 1188, 28152, 12042, 203, 1070, 2813, 1380, 418, 86, 32, 28398, 1188, 902, 1141, 203, 325, 2069, 26, 3731, 32, 6118, 27, 863, 225, 36, 44, 284, 1459, 440, 6772, 9318, 3731, 32, 6118, 77, 34, 614, 13950, 47861, 33, 2480, 280, 225, 34, 33, 35, 19830, 284, 4323, 346, 203, 2480, 280, 629, 26, 3731, 32, 6118, 77, 35, 1130, 203, 325, 308, 2480, 863, 225, 34, 27, 461, 308, 2480, 863, 225, 35, 711, 284, 1459, 440, 6772, 9318, 3731, 32, 6118, 77, 34, 614, 13950, 47861, 33, 2480, 280, 225, 34, 33, 35, 19830, 284, 4323, 346, 203, 1501, 81, 94, 225, 280, 225, 35, 34, 203, 6006, 280, 225, 37, 32, 34, 203, 1729, 26936, 280, 225, 34, 32, 35, 203, 3306, 261, 280, 225, 35, 34, 34, 34, 32, 34, 203, 1216, 440, 1705, 3104, 44, 16531, 1643, 26, 1501, 81, 94, 490, 203, 1216, 440, 871, 315, 314, 10423, 44, 16531, 1643, 26, 6006, 490, 203, 1216, 440, 15043, 34643, 3315, 44, 16531, 1643, 26, 1729, 26936, 490, 203, 1216, 440, 29057, 7692, 44, 16531, 1643, 26, 3306, 490, 203, 1216, 440, 4077, 556, 14131, 661, 44, 16531, 1643, 26, 2480, 490, 203, 325, 4523, 610, 225, 34, 44, 284, 963, 1515, 280, 5587, 47861, 31, 2946, 20, 203, 1824, 44, 284, 963, 1515, 280, 5587, 2480, 31, 2946, 20, 203, 1270, 44, 284, 2322, 32, 27428, 26, 37904, 27, 203, 7343, 44, 284, 1459, 440, 1589, 44, 10608, 4034, 2537, 1492, 5375, 2296, 1643, 26, 37904, 490, 203, 87, 19953, 81, 7439, 225, 280, 225, 36, 39, 34, 203, 87, 19953, 81, 1322, 280, 225, 35, 34, 34, 203, 8604, 81, 7439, 225, 280, 225, 36, 34, 34, 34, 203, 8604, 81, 1322, 280, 225, 35, 34, 34, 203, 2632, 280, 225, 34, 32, 34, 35, 203, 2946, 280, 2813, 1380, 418, 86, 32, 1598, 26, 1501, 81, 94, 6020, 1501, 81, 94, 30, 4376, 81, 94, 30, 4376, 81, 94, 1130, 203, 2946, 32, 3376, 81, 2946, 32, 20718, 280, 225, 34, 32, 35, 203, 2946, 32, 1003, 81, 2997, 280, 8793, 203, 2946, 32, 887, 81, 3264, 81, 6306, 280, 225, 35, 32, 35, 28, 6006, 203, 2946, 32, 7389, 280, 2065, 32, 3855, 32, 21378, 26, 34, 30, 36, 326, 37, 35, 31, 35, 27, 203, 88, 4574, 81, 1545, 81, 748, 315, 314, 280, 225, 36, 34, 32, 34, 203, 88, 4574, 81, 5346, 81, 748, 315, 314, 261, 280, 225, 36, 34, 32, 34, 203, 88, 4574, 81, 1545, 81, 2050, 280, 225, 35, 32, 34, 203, 88, 4574, 81, 5346, 81, 2050, 261, 280, 225, 35, 32, 34, 203, 1433, 280, 225, 35, 32, 34, 203, 106, 34, 39218 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 4, 6, 5, 6, 4, 2, 2, 3, 1, 1, 1, 5, 7, 7, 8, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 0, 3, 2, 2, 4, 7, 6, 7, 5, 6, 5, 0, 1, 1, 5, 4, 4, 5, 3, 2, 2, 5, 4, 4, 5, 3, 1, 1, 5, 7, 7, 8, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 0, 3, 3, 3, 2, 2, 2, 3, 3, 0, 3, 2, 2, 3, 3, 3, 0, 3, 3, 2, 2, 3, 3, 3, 0, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 7, 7, 7, 7, 6, 5, 6, 6, 6, 5, 0, 3, 3, 7, 7, 7, 7, 7, 7, 6, 5, 6, 5, 0, 3, 3, 7, 7, 7, 7, 7, 6, 5, 6, 6, 5, 0, 3, 3, 7, 7, 7, 7, 6, 5, 6, 5, 0, 3, 3, 7, 7, 7, 7, 7, 7, 6, 5, 6, 5, 0, 1, 1, 2, 2, 3, 1, 1, 1, 5, 4, 4, 6, 6, 6, 6, 1, 2, 2, 2, 2, 6, 5, 5, 7, 7, 7, 7, 0, 1, 1, 1, 1, 5, 6, 5, 6, 5, 1, 2, 2, 2, 2, 6, 10, 10, 10, 10, 10, 11, 10, 10, 9, 8, 9, 8, 0, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 2, 2, 3, 3, 3, 3, 0, 3, 2, 2, 5, 5, 5, 4, 5, 4, 6, 6, 6, 5, 7, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 0, 5, 4, 5, 5, 5, 3, 4, 2, 2, 3, 3, 3, 0, 4, 3, 4, 4, 4, 2, 2, 0, 4, 3, 4, 4, 4, 4, 4, 2, 2, 4, 4, 4, 3, 4, 0, 4, 3, 4, 2, 2, 5, 6, 4, 5, 4, 5, 4, 7, 6, 7, 7, 5, 6, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 0, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3 ]
[ 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, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 1, 2, 2, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 1, 2, 2, 2, 7, 7, 0, 0, 8, 8, 0, 0, 0, 1, 2, 8, 8, 0, 0, 9, 9, 1, 0, 1, 2, 1, 1, 1, 2, 9, 9, 9, 1, 1, 1, 0, 0, 2, 3, 2, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 11, 11, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 11, 11, 1, 1, 1, 0, 0, 2, 3, 2, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 21, 21, 1, 1, 2, 21, 21, 21, 0, 0, 0, 1, 1, 1, 2, 21, 4, 4, 4, 4, 0, 0, 0, 1, 1, 1, 2, 0, 22, 22, 22, 22, 0, 2, 1, 1, 1, 22, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0 ]
[ 1070, 296, 21594, 1188, 6325, 203, 465, 296, 21594, 203, 465, 13092, 203, 1070, 3312, 32, 1356, 32, 1286, 1188, 6256, 203, 1070, 3312, 32, 1356, 32, 1286, 1188, 9823, 203, 1070, 3312, 32, 1356, 32, 20511, 1188, 16569, 10317, 203, 12408, 32, 465, 1734, 93, 639, 463, 14474, 41431, 683, 203, 823, 2108, 2551, 3192, 26375, 26, 1473, 711, 10065, 477, 16099, 284, 477, 12408, 32, 1826, 32, 539, 18972, 463, 1536, 31, 24591, 683, 284, 665, 894, 81, 1237, 81, 1903, 81, 20511, 81, 34, 34, 35, 26, 1786, 711, 291, 1424, 81, 5078, 280, 301, 324, 330, 1286, 31, 681, 950, 330, 3164, 33, 12336, 32, 1237, 29, 1260, 45, 8485, 47, 6261, 31, 42, 370, 324, 330, 1286, 31, 1322, 950, 330, 35, 39, 36, 37, 25, 291, 320, 291, 1424, 81, 1548, 280, 301, 324, 330, 2859, 950, 301, 400, 330, 998, 950, 225, 36, 30, 400, 330, 3248, 950, 225, 36, 34, 30, 400, 330, 2881, 950, 225, 34, 30, 400, 330, 2999, 950, 225, 36, 324, 801, 324, 330, 605, 950, 7316, 400, 330, 681, 950, 330, 20511, 370, 400, 330, 314, 950, 16569, 10317, 32, 25957, 81, 7595, 30, 400, 330, 5843, 950, 9823, 32, 2546, 324, 801, 301, 400, 330, 681, 950, 330, 20511, 370, 400, 330, 314, 950, 16569, 10317, 32, 7321, 28588, 81, 7595, 30, 400, 330, 5843, 950, 9823, 32, 27020, 324, 16752, 291, 320, 291, 1056, 280, 6325, 32, 1006, 1486, 26, 1786, 32, 1786, 32, 1237, 547, 29766, 81, 371, 26, 324, 1519, 20183, 1237, 33, 4636, 20244, 33, 4738, 33, 24591, 370, 324, 4826, 12516, 7494, 950, 330, 3164, 33, 12336, 32, 1237, 29, 1260, 8885, 324, 2467, 81, 800, 1057, 101, 464, 47, 4205, 23, 36, 53, 43696, 24, 3248, 47, 36, 34, 24, 3323, 47, 5305, 683, 291, 1201, 1056, 32, 1517, 610, 296, 21594, 32, 5068, 81, 36, 34, 34, 291, 1201, 1056, 32, 5078, 610, 1424, 81, 5078, 291, 6256, 32, 862, 81, 4738, 1237, 26, 1267, 32, 1260, 30, 1424, 81, 1548, 27, 284, 477, 16099, 284, 477, 12408, 32, 1826, 32, 539, 18972, 463, 1536, 31, 24591, 370, 330, 465, 31, 1299, 2579, 370, 330, 465, 31, 4775, 318, 683, 284, 665, 894, 81, 1237, 81, 1903, 81, 20511, 81, 34, 34, 36, 26, 1786, 711, 291, 1424, 81, 5078, 280, 301, 324, 330, 1286, 31, 681, 950, 330, 3164, 33, 12336, 32, 1237, 29, 1260, 45, 8485, 47, 6261, 31, 42, 370, 324, 330, 1286, 31, 1322, 950, 330, 35, 40, 39, 42, 25, 291, 320, 291, 1424, 81, 1548, 280, 301, 324, 330, 2859, 950, 301, 400, 330, 998, 950, 225, 36, 30, 400, 330, 3248, 950, 225, 36, 30, 400, 330, 2881, 950, 225, 34, 30, 400, 330, 2999, 950, 225, 38, 324, 801, 324, 330, 605, 950, 7316, 400, 330, 681, 950, 330, 20511, 370, 400, 330, 314, 950, 16569, 10317, 32, 25957, 81, 7595, 30, 400, 330, 5843, 950, 9823, 32, 2546, 324, 801, 301, 400, 330, 681, 950, 330, 20511, 370, 400, 330, 314, 950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 3, 0, 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, 2, 3, 1, 1, 3, 0, 4, 3, 4, 4, 4, 4, 3, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 3, 3, 8, 7, 8, 6, 7, 7, 6, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 8, 8, 5, 5, 8, 8, 7, 7, 8, 8, 11, 11, 9, 10, 10, 13, 13, 11, 12, 10, 10, 10, 13, 13, 11, 12, 12, 10, 10, 10, 13, 13, 11, 12, 10, 10, 10, 13, 13, 11, 12, 10, 10, 8, 8, 11, 11, 9, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 14, 13, 14, 14, 14, 11, 11, 11, 14, 14, 12, 13, 14, 11, 11, 10, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 14, 13, 14, 14, 14, 14, 11, 11, 11, 14, 14, 12, 13, 14, 11, 11, 8, 8, 5, 5, 7, 7, 11, 12, 12, 11, 14, 13, 14, 12, 13, 11, 10, 10, 10, 9, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 10, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 9, 9, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 6, 8, 9, 7, 7, 9, 8, 9, 9, 9, 9, 9, 5, 5, 6, 8, 9, 7, 7, 8, 8, 5, 5, 8, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 9, 8, 2, 2, 5, 3, 3, 8, 7, 8, 6, 7, 7, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 8, 8, 5, 5, 8, 8, 7, 7, 8, 8, 11, 11, 9, 10, 10, 13, 13, 11, 12, 10, 10, 10, 13, 13, 11, 12, 10, 10, 10, 13, 13, 11, 12, 10, 10, 10, 13, 13, 11, 12, 10, 10, 8, 8, 11, 11, 9, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 14, 13, 14, 14, 14, 11, 11, 11, 14, 14, 12, 13, 14, 11, 11, 10, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 2, 3, 3, 1, 2, 1, 1, 2, 3, 3, 1, 2, 3, 0, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 5, 2, 2, 3, 3, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 2, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 2, 3, 3, 1, 2, 1, 1, 2, 3, 3, 1, 2 ]
[ 1070, 18971, 1188, 24014, 30, 35249, 203, 465, 309, 1232, 352, 203, 465, 1133, 203, 465, 8229, 91, 32, 12195, 619, 3363, 203, 465, 5167, 203, 32940, 2205, 280, 330, 525, 555, 35, 43, 36, 32, 35, 40, 42, 32, 35, 32, 35, 34, 34, 33, 49009, 49, 1357, 7814, 49009, 563, 313, 36, 32, 34, 392, 313, 1959, 563, 313, 3505, 32, 30085, 392, 313, 2132, 563, 301, 313, 4642, 563, 3037, 1311, 392, 313, 12340, 392, 313, 6932, 392, 313, 2245, 1311, 3439, 313, 3840, 314, 563, 225, 35, 801, 313, 314, 563, 313, 6076, 30085, 3612, 920, 203, 59, 36, 53, 81, 12339, 280, 225, 34, 106, 38, 83, 203, 725, 280, 24014, 4064, 426, 8223, 203, 17593, 7471, 18309, 280, 225, 35, 42, 263, 203, 17593, 12470, 18309, 280, 225, 36, 37, 958, 203, 17593, 47528, 381, 4046, 280, 225, 36, 38, 262, 203, 17593, 47528, 381, 3679, 280, 225, 36, 39, 647, 203, 10449, 81, 4640, 35, 280, 225, 36, 36, 263, 203, 10449, 81, 4640, 36, 280, 225, 35, 41, 263, 203, 4891, 280, 309, 1232, 352, 32, 45899, 352, 26, 34, 27, 203, 716, 32, 470, 2816, 26, 716, 32, 21289, 27, 203, 716, 32, 5522, 26, 10449, 81, 4640, 35, 30, 3363, 32, 521, 30, 5083, 81, 417, 81, 1746, 47, 716, 32, 66, 3791, 81, 2418, 27, 203, 716, 32, 5522, 26, 10449, 81, 4640, 36, 30, 3363, 32, 521, 30, 5083, 81, 417, 81, 1746, 47, 716, 32, 66, 3791, 81, 2418, 27, 203, 716, 32, 5522, 26, 17593, 7471, 18309, 30, 3363, 32, 4241, 27, 203, 716, 32, 5522, 26, 17593, 12470, 18309, 30, 3363, 32, 4241, 27, 203, 716, 32, 5522, 26, 17593, 47528, 381, 4046, 30, 3363, 32, 4241, 27, 203, 716, 32, 5522, 26, 17593, 47528, 381, 3679, 30, 3363, 32, 4241, 27, 203, 50, 725, 32, 4351, 3247, 1237, 33, 104, 35, 33, 7656, 370, 4438, 11414, 2788, 3490, 203, 589, 622, 81, 7656, 2262, 284, 442, 35249, 1371, 291, 313, 1517, 563, 225, 36, 34, 34, 30, 291, 313, 1436, 563, 313, 8279, 2330, 32, 439, 3464, 399, 9732, 461, 10774, 436, 1370, 24199, 11555, 284, 1790, 203, 50, 725, 32, 4351, 3247, 1237, 33, 104, 35, 33, 32940, 370, 4438, 11414, 2788, 3490, 203, 589, 298, 1909, 2262, 284, 540, 280, 5167, 32, 371, 26, 32940, 2205, 27, 284, 415, 540, 32, 1517, 81, 687, 863, 225, 36, 34, 34, 44, 291, 442, 35249, 1371, 324, 313, 1517, 563, 225, 39, 34, 34, 30, 324, 313, 1436, 563, 313, 65, 4156, 30, 3065, 646, 1930, 1476, 372, 447, 1909, 11555, 291, 1790, 284, 442, 35249, 26, 100, 32, 1286, 27, 203, 50, 725, 32, 4351, 3247, 1237, 33, 104, 35, 33, 7380, 12168, 370, 4438, 11414, 2788, 3490, 203, 589, 622, 81, 7380, 12168, 2262, 284, 3363, 32, 2024, 26, 17593, 7471, 18309, 30, 3363, 32, 19542, 27, 284, 1133, 32, 7840, 26, 36, 27, 284, 3363, 32, 2024, 26, 17593, 7471, 18309, 30, 3363, 32, 5875, 27, 284, 442, 35249, 1371, 291, 313, 1517 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 5, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 2, 2, 5, 5, 4, 5, 5, 4, 5, 4, 0, 4, 3, 4, 4, 3, 5, 4, 5, 3, 0, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 3, 5, 5, 5, 5, 4, 6, 5, 6, 6, 6, 6, 3, 0, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 3, 5, 5, 5, 5, 4, 6, 5, 6, 6, 6, 6, 3, 0, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 5, 3, 0, 4, 3, 4, 3, 4, 4, 4, 3, 3, 4, 5, 3, 0, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 0, 4, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 5, 3, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 4, 5, 8, 8, 1, 2, 2, 3, 3, 3, 2, 2, 4, 6, 7, 7, 10, 10, 8, 9, 9, 9, 7, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 4, 5, 8, 8, 1, 2, 2, 3, 3, 2, 2, 5, 5, 7, 8, 7, 8, 8, 7, 3, 3, 4, 6, 7, 7, 7, 5, 5, 6, 6, 6, 4, 4, 4, 6, 8, 9, 9, 12, 12, 10, 11, 11, 11, 9, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 3, 3, 4, 6, 8, 7, 8, 6, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 8, 8, 1, 2, 2, 3, 3, 3, 3, 2, 2, 6, 7, 6, 7, 7, 7, 6, 6, 7, 8, 6, 3, 3, 6, 7, 6, 7, 6, 3, 3, 6, 7, 6, 7, 7, 7, 6, 6, 7, 8, 6, 3, 3, 4, 6, 7, 7, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 2, 1, 1, 0, 4, 4, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 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, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 0, 0, 5, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 0, 0, 5, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 23, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 24, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 25, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 3, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 2322, 32, 983, 1188, 7140, 30, 438, 761, 203, 465, 5237, 203, 465, 16672, 203, 1070, 24084, 1188, 24084, 203, 465, 6436, 619, 2065, 203, 465, 12643, 619, 6121, 203, 1070, 13625, 1188, 18609, 203, 465, 19571, 203, 3731, 32, 983, 32, 1689, 10198, 683, 203, 1070, 2535, 4184, 32, 983, 1188, 5380, 203, 1070, 2535, 4184, 32, 1131, 81, 605, 1188, 1491, 81, 7365, 203, 1070, 2535, 4184, 32, 5919, 32, 42655, 43, 41, 101, 40, 36, 32, 10187, 1188, 1491, 81, 1545, 203, 1070, 2535, 4184, 32, 5919, 32, 13026, 265, 32, 10187, 1188, 1491, 81, 1545, 619, 1491, 81, 1545, 81, 13026, 265, 203, 1070, 2535, 4184, 32, 5919, 32, 6569, 36, 34, 34, 34, 32, 17546, 1188, 1491, 81, 17546, 203, 1070, 8745, 32, 1040, 1188, 13947, 81, 2524, 203, 1070, 8745, 32, 8075, 32, 18448, 81, 2998, 1188, 6122, 81, 18448, 203, 1070, 8745, 32, 5613, 1188, 1015, 81, 2543, 203, 3922, 280, 16672, 32, 26633, 346, 203, 3922, 32, 669, 81, 2669, 12664, 1586, 4184, 81, 7365, 81, 983, 370, 827, 47, 466, 30, 528, 3049, 1057, 983, 372, 498, 4423, 43, 41, 69, 40, 36, 9025, 2276, 683, 203, 3922, 32, 669, 81, 2669, 12664, 1586, 4184, 81, 1545, 81, 983, 370, 827, 47, 466, 30, 528, 3049, 1057, 983, 372, 498, 4423, 43, 41, 69, 40, 36, 17724, 22649, 467, 2276, 683, 203, 3922, 32, 669, 81, 2669, 12664, 13026, 265, 81, 983, 370, 827, 47, 466, 30, 3049, 1057, 983, 372, 47918, 265, 5890, 683, 203, 3922, 32, 669, 81, 2669, 12664, 6569, 36, 34, 34, 34, 81, 7365, 81, 983, 370, 827, 47, 466, 30, 528, 3049, 1057, 983, 372, 9025, 2276, 432, 9967, 36, 34, 34, 34, 5890, 683, 203, 3922, 32, 669, 81, 2669, 12664, 6569, 36, 34, 34, 34, 81, 1545, 81, 983, 370, 827, 47, 466, 30, 528, 3049, 1057, 983, 372, 39151, 2276, 432, 9967, 36, 34, 34, 34, 5890, 683, 203, 3922, 32, 669, 81, 2669, 12664, 5613, 81, 2853, 81, 983, 370, 827, 47, 466, 30, 528, 3049, 1057, 983, 372, 4131, 5890, 683, 203, 3922, 32, 669, 81, 2669, 12664, 3274, 81, 2853, 81, 983, 370, 827, 47, 466, 30, 528, 3049, 1057, 983, 372, 4131, 1509, 5359, 683, 203, 3922, 32, 669, 81, 2669, 12664, 1945, 81, 2388, 81, 983, 370, 827, 47, 466, 30, 528, 3049, 1057, 983, 372, 1420, 458, 3261, 683, 203, 3922, 32, 669, 81, 2669, 12664, 3732, 370, 827, 47, 466, 30, 528, 16682, 11414, 384, 93, 370, 330, 2958, 81, 21282, 81, 5905, 370, 330, 1356, 290, 2496, 3490, 203, 3922, 32, 669, 81, 2669, 12664, 18448, 81, 2853, 81, 983, 370, 827, 47, 466, 30, 3049, 1057, 983, 372, 42219, 2276, 11834, 203, 3922, 32, 669, 81, 2669, 12664, 384, 93, 81, 2853, 81, 983, 370, 827, 47, 466, 30, 3049, 1057, 983, 372, 13663, 93, 2276, 11834, 203, 3922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 5, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 5, 3, 3, 3, 4, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 4, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 0, 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, 2, 3, 3, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 1, 1, 0, 8, 8, 1, 1, 0, 9, 9, 9, 9, 0, 10, 10, 0, 0, 0, 2, 0, 2, 1, 2, 0, 12, 12, 0, 1, 2, 12, 12, 0, 13, 13, 0, 1, 2, 2, 2, 13, 13, 0, 0, 0, 14, 14, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 1, 6, 14, 14, 0, 0, 0, 15, 15, 0, 1, 2, 1, 4, 4, 1, 6, 15, 15, 0, 0, 3, 3, 2, 2, 2, 2, 2, 0, 16, 16, 0, 1, 2, 1, 4, 4, 4, 4, 4, 1, 6, 16, 16, 0, 0, 0, 17, 17, 1, 2, 17, 17, 0, 0, 0, 18, 18, 1, 2, 1, 4, 4, 4, 18, 18, 0, 0, 0, 19, 19, 1, 2, 19, 19, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ 465, 3995, 203, 465, 7744, 203, 465, 323, 46975, 203, 1070, 559, 90, 6100, 32, 26751, 6100, 4216, 1188, 8755, 4216, 203, 465, 559, 90, 6100, 32, 9518, 619, 9326, 203, 3264, 81, 37159, 280, 8755, 4216, 32, 1243, 12043, 26265, 28, 36, 203, 823, 9476, 26, 1473, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 617, 14375, 30, 617, 681, 30, 617, 2050, 30, 617, 314, 711, 357, 202, 784, 32, 557, 96, 280, 617, 14375, 357, 202, 16243, 81, 557, 96, 81, 75, 280, 9326, 32, 2863, 37, 86, 26, 784, 32, 557, 96, 32, 75, 6353, 27, 357, 202, 16243, 81, 557, 96, 81, 75, 32, 17696, 346, 357, 202, 784, 32, 16243, 81, 557, 96, 280, 9326, 32, 13758, 26, 784, 32, 557, 96, 32, 9009, 30, 630, 32, 557, 96, 32, 74, 6353, 30, 19567, 81, 557, 96, 81, 75, 27, 357, 202, 784, 32, 681, 280, 617, 681, 357, 202, 784, 32, 2050, 280, 617, 2050, 357, 202, 784, 32, 314, 280, 617, 314, 357, 202, 784, 32, 7004, 81, 1274, 280, 1605, 357, 202, 784, 32, 2480, 81, 7004, 280, 1605, 203, 202, 589, 24075, 26, 784, 711, 357, 202, 601, 313, 73, 11797, 2798, 428, 314, 44, 904, 101, 30, 827, 44, 904, 101, 12032, 904, 308, 784, 32, 314, 30, 630, 32, 681, 27, 203, 202, 589, 4522, 26, 784, 30, 1630, 711, 357, 202, 557, 96, 81, 1545, 280, 9326, 32, 13758, 26, 784, 32, 557, 96, 32, 9009, 30, 630, 32, 557, 96, 32, 74, 6353, 30, 630, 32, 557, 96, 32, 75, 6353, 27, 357, 202, 3781, 81, 1545, 280, 9476, 26, 557, 96, 81, 1545, 30, 630, 32, 681, 30, 630, 32, 2050, 30, 630, 32, 314, 27, 357, 202, 3781, 81, 1545, 32, 557, 96, 32, 4859, 26, 1545, 27, 357, 202, 3781, 81, 1545, 32, 16243, 81, 557, 96, 32, 4859, 26, 1545, 27, 357, 202, 601, 4567, 81, 1545, 203, 202, 589, 1933, 26, 784, 711, 357, 202, 557, 96, 81, 2991, 280, 9326, 32, 13758, 26, 784, 32, 557, 96, 32, 9009, 30, 630, 32, 557, 96, 32, 74, 6353, 30, 630, 32, 557, 96, 32, 75, 6353, 27, 357, 202, 3781, 81, 2991, 280, 9476, 26, 557, 96, 81, 2991, 30, 630, 32, 681, 30, 630, 32, 2050, 30, 630, 32, 314, 27, 357, 202, 601, 4567, 81, 2991, 203, 202, 589, 4450, 81, 7004, 81, 1274, 26, 784, 30, 7019, 711, 357, 202, 998, 280, 225, 34, 357, 202, 784, 32, 7004, 81, 1274, 280, 1605, 357, 202, 784, 32, 2480, 81, 7004, 280, 1605, 357, 202, 979, 5750, 328, 7019, 44, 355, 202, 325, 5750, 32, 2050, 35, 610, 630, 32, 2050, 461, 5750, 32, 3781, 35, 610, 630, 32, 314, 44, 603, 202, 784, 32, 7004, 81, 1274, 32, 1689, 26, 5275, 27, 603, 202, 784, 32, 2480, 81, 7004, 32, 1689, 26, 998, 27, 603, 202, 998, 1454, 225, 35, 203, 823, 6673, 26, 1473, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 636, 30, 13013, 30, 12215 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 4, 4, 3, 4, 2, 2, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 3, 4, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 6, 6, 7, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 11, 9, 10, 10, 8, 4, 4, 8, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 8, 7, 8, 8, 8, 8, 6, 6, 8, 9, 8, 11, 10, 11, 11, 9, 10, 8, 8, 10, 11, 11, 9, 10, 10, 8, 8, 9, 9, 9, 9, 9, 8, 4, 4, 8, 7, 8, 6, 6, 7, 4, 4, 8, 7, 8, 6, 6, 7, 4, 4, 8, 7, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 6, 6, 2, 2, 3, 3, 4, 5, 4, 3, 3, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 6, 6, 8, 9, 8, 11, 10, 11, 11, 9, 10, 8, 8, 10, 11, 11, 9, 10, 10, 8, 8, 10, 11, 11, 9, 10, 10, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 4, 4, 9, 9, 9, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 9, 9, 9, 8, 9, 9, 9, 9, 7, 8, 7, 8, 7, 4, 4, 5, 5, 6, 6, 2, 2, 3, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 8, 9, 8, 11, 10, 11, 11, 9, 10, 8, 8, 10, 11, 11, 9, 10, 10, 8, 8, 10, 11, 11, 9, 10, 10, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 5, 6, 6, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 7, 7, 10, 11, 11, 9, 9, 10, 11, 8, 8, 10, 11, 11, 9, 9, 10, 11, 7, 7, 7, 13, 12, 13, 13, 13, 11, 12, 11, 12, 11, 8, 8, 13, 12, 13, 13, 13, 11, 12, 11, 12, 11, 8, 8, 11, 10, 10, 11, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 6, 6, 2, 1, 2, 6, 6, 0, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 3, 2, 2, 1, 1, 5, 5, 5, 5, 5, 1, 4, 4, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 4, 4, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 3, 2, 2, 1, 1, 0, 2, 2, 5, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 4, 4, 1, 1, 4, 4, 3, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 3, 2, 2, 1, 1, 0, 2, 2, 5, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 2, 2, 1, 1, 4, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 0, 7, 7, 2, 1, 2, 7, 7, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2 ]
[ 465, 7138, 203, 465, 2361, 203, 465, 20803, 203, 465, 2322, 203, 1070, 20803, 32, 407, 1188, 6350, 203, 1070, 20803, 32, 407, 32, 7621, 32, 13956, 1188, 319, 203, 823, 41476, 1222, 26, 7621, 32, 1222, 711, 284, 665, 438, 81, 1808, 26, 784, 30, 2793, 711, 291, 1596, 44, 324, 442, 1897, 26, 800, 27, 16189, 2940, 10091, 44, 23688, 442, 3177, 284, 2498, 665, 3240, 26, 784, 30, 1795, 47, 2521, 30, 319, 1132, 30, 1115, 5321, 711, 291, 415, 1795, 44, 324, 415, 630, 32, 297, 81, 1808, 26, 1286, 27, 556, 1795, 32, 44065, 2262, 400, 1795, 280, 596, 26, 1286, 27, 324, 1795, 32, 3227, 10253, 15627, 658, 392, 6640, 78, 103, 36, 34, 34, 864, 2254, 658, 1895, 3227, 10253, 7020, 392, 6640, 78, 103, 36, 34, 34, 84, 7020, 657, 291, 4618, 81, 1436, 280, 2014, 2599, 922, 2714, 26, 1286, 30, 319, 1132, 30, 1115, 5321, 27, 291, 442, 4618, 81, 1436, 284, 477, 2433, 284, 665, 3523, 26, 784, 711, 291, 442, 630, 32, 2195, 32, 2848, 203, 823, 41476, 1761, 26, 7621, 32, 9034, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1956, 280, 2322, 32, 12757, 710, 9052, 785, 291, 630, 32, 29848, 280, 20803, 32, 3771, 26, 426, 1057, 266, 312, 23244, 29946, 574, 34854, 9474, 1984, 347, 641, 555, 1499, 32, 48649, 32, 7598, 33, 28931, 1028, 10201, 1882, 392, 827, 47, 35, 27, 291, 630, 32, 8929, 81, 761, 280, 1605, 291, 665, 622, 81, 1320, 81, 1338, 2262, 324, 623, 2156, 12004, 1320, 32, 1260, 657, 619, 296, 44, 400, 1359, 280, 2361, 32, 944, 26, 88, 27, 324, 442, 1359, 291, 665, 622, 81, 4254, 2262, 324, 34066, 280, 3037, 23681, 715, 313, 53, 18867, 13701, 324, 442, 6350, 32, 6036, 81, 26236, 318, 81, 271, 2740, 41456, 27, 291, 665, 622, 81, 2310, 2262, 324, 442, 296, 9588, 371, 81, 1320, 81, 1338, 31510, 426, 785, 3845, 291, 665, 622, 81, 3626, 2262, 324, 442, 630, 32, 29848, 291, 2599, 17094, 1664, 3207, 2501, 81, 4254, 47, 371, 81, 4254, 1026, 4181, 47, 371, 81, 3626, 1026, 3048, 47, 371, 81, 2310, 1026, 15650, 81, 4756, 47, 2521, 30, 656, 3049, 81, 10407, 47, 2665, 26, 3864, 47, 1815, 490, 291, 16359, 81, 9081, 280, 1605, 291, 436, 803, 328, 2322, 32, 26366, 12004, 46246, 10280, 324, 415, 803, 32, 20643, 5791, 978, 10280, 400, 16359, 81, 9081, 32, 1689, 26, 761, 32, 3227, 3949, 978, 370, 330, 2847, 291, 436, 5016, 328, 16359, 81, 9081, 44, 324, 1596, 44, 400, 630, 32, 944, 81, 6728, 26, 88, 25, 46246, 12604, 6728, 15837, 400, 1459, 26, 88, 25, 10655, 301, 6728, 15837, 324, 2940, 3268, 619, 484, 44, 400, 1048, 280, 296, 15907, 6728, 4104, 96, 301, 681, 26, 87, 14585, 426, 505, 10696, 301, 87, 8129, 400, 1459, 26, 88, 25, 5288, 372, 2454, 5016, 301, 731, 15837, 291, 630, 32, 2848, 280, 1665, 284, 665, 1420, 26, 784, 711, 291, 2599, 922, 1945, 26, 784, 32, 1956, 27, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 9, 10, 9, 5, 5, 6, 6, 6, 6, 8, 2, 2, 3, 3, 4, 5, 4, 4, 5, 6, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 5, 5, 5, 7, 10, 11, 11, 11, 10, 11, 10, 8, 8, 10, 11, 10, 7, 7, 10, 10, 12, 13, 12, 6, 6, 11, 12, 11, 13, 13, 13, 11, 14, 14, 14, 14, 14, 14, 13, 13, 13, 10, 9, 11, 11, 9, 12, 12, 12, 12, 12, 12, 11, 11, 4, 4, 7, 7, 6, 6, 7, 11, 10, 9, 10, 9, 9, 11, 9, 9, 11, 9, 4, 4, 5, 6, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 7, 8, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 7, 9, 9, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 9, 11, 11, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 5, 5, 7, 12, 14, 14, 14, 14, 10, 10, 7, 7, 7, 10, 10, 12, 13, 12, 13, 12, 6, 6, 7, 4, 4, 5, 6, 6, 6, 5, 5, 8, 8, 11, 9, 9, 11, 11, 11, 6, 6, 7, 9, 10, 10, 10, 10, 10, 10, 9, 11, 9, 4, 4, 5, 6, 6, 6, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 9, 4, 4, 5, 6, 6, 6, 5, 5, 7, 8, 9, 4, 4, 9, 8, 8, 9, 9, 9, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 9, 9, 8, 9, 7, 7, 7, 9, 9, 8, 10, 10, 12, 11, 12, 10, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 9, 9, 5, 5, 7, 9, 10, 9, 11, 11, 7, 7, 12, 12, 11, 12, 11, 14, 13, 14, 13, 15, 15, 13, 15, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 7, 7, 7, 11, 12, 12, 12, 11, 13, 13, 13, 13, 14, 13, 8, 8, 11, 13, 13, 13, 13, 14, 13, 7, 7, 8, 9, 9, 8, 8, 8, 11, 11, 13, 14, 13, 14, 13, 16, 16, 17, 16, 15, 15, 13, 13, 14, 13, 9, 9, 12, 14, 14, 14, 14, 14, 14, 14, 15, 14, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 9, 8, 7, 9, 8, 9, 7, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 1, 3, 1, 3, 3, 3, 2, 3, 3, 1, 3, 3, 1, 3, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 5, 5, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 1, 1, 4, 4, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 7, 7, 1, 2, 0, 1, 2, 2, 7, 7, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 3, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 4, 4, 4, 1, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 4, 4, 6, 1, 1, 2, 6, 6, 0, 1, 2, 4, 4, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 3, 0, 0, 0, 1, 1, 5, 0, 0, 0, 1, 1, 0, 0, 7, 2, 1, 1, 1, 0, 0, 9, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 9, 9, 9, 0, 2, 1, 1, 2, 9, 9, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 10, 10, 10, 3, 3, 10, 10, 10, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 3, 4, 1, 5, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 4 ]
[ 465, 41624, 203, 465, 2322, 203, 4891, 280, 41624, 32, 1598, 5990, 346, 203, 6038, 81, 3773, 280, 6866, 32, 371, 81, 1473, 463, 1088, 32, 3994, 10953, 32, 4248, 7175, 370, 33774, 203, 325, 26, 6038, 81, 3773, 610, 1665, 711, 284, 1459, 440, 924, 44, 12619, 646, 622, 322, 15310, 7175, 2568, 5327, 96, 657, 203, 1141, 81, 314, 280, 313, 1088, 32, 25481, 32, 9100, 725, 730, 32, 289, 32818, 32, 470, 18218, 20, 203, 1267, 280, 5121, 203, 1270, 44, 284, 1056, 280, 7231, 81, 3773, 32, 1622, 2861, 25393, 26, 1141, 81, 314, 30, 308, 26945, 32, 9269, 37, 36, 2502, 500, 32, 371, 6320, 6182, 3177, 27, 203, 7343, 41624, 32, 11452, 32, 23038, 984, 30, 484, 44, 284, 1459, 313, 3893, 44, 3003, 484, 203, 7343, 3268, 30, 484, 44, 284, 1459, 313, 2455, 3756, 44, 3003, 484, 203, 1216, 313, 1622, 2861, 25393, 346, 1056, 12614, 1056, 203, 1216, 313, 1622, 2861, 25393, 346, 23779, 12614, 308, 1267, 610, 313, 7134, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 0, 1, 2, 4, 4, 4, 3, 3, 2, 1, 1, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 0, 1, 1, 1, 1, 4, 4, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 6, 10, 9, 10, 10, 10, 8, 11, 10, 11, 11, 10, 6, 6, 1, 2, 2, 4, 5, 3, 4, 4, 2, 2, 2, 2, 2, 4, 6, 6, 6, 4, 1, 2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 6, 6, 4, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 4, 3, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 4, 1, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 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, 8, 8, 8, 8, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 8, 3, 3, 0, 2, 1, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 1, 0, 8, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 0, 0, 9, 9, 1, 1, 1, 1, 1, 1, 9, 0, 10, 10, 1, 1, 1, 1, 1, 1, 10, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 16198, 1580, 203, 1070, 16198, 1580, 32, 1707, 32, 3007, 1188, 12515, 203, 1070, 48885, 39, 1188, 22066, 203, 1070, 48885, 39, 1188, 1044, 295, 203, 1070, 48885, 39, 32, 30609, 1188, 3619, 12561, 10760, 203, 1070, 48885, 39, 32, 30609, 1188, 3619, 12561, 9490, 203, 1070, 48885, 39, 32, 30609, 1188, 10701, 203, 505, 2116, 505, 280, 330, 4587, 2446, 13765, 20642, 25, 203, 505, 464, 505, 280, 2107, 1335, 3999, 785, 203, 753, 81, 3007, 81, 823, 280, 1044, 295, 32, 944, 10816, 620, 26, 2161, 1580, 32, 1647, 81, 983, 474, 768, 2430, 1707, 33, 10487, 33, 751, 3999, 32, 1707, 16050, 34, 79, 203, 823, 2662, 3999, 26, 3999, 30, 4356, 81, 3007, 81, 823, 711, 284, 9475, 10760, 280, 3619, 12561, 10760, 26, 466, 27, 284, 33587, 10760, 280, 3619, 12561, 10760, 26, 466, 27, 284, 665, 1156, 1664, 3207, 784, 30, 4878, 3763, 30, 9332, 30, 319, 1132, 711, 291, 2599, 26, 1335, 3999, 30, 630, 14585, 1664, 45909, 1132, 27, 291, 630, 32, 5522, 10816, 26, 784, 27, 291, 630, 32, 3007, 558, 280, 313, 1335, 2823, 53, 20, 291, 630, 32, 3039, 558, 280, 313, 1335, 2823, 53, 20, 291, 630, 32, 4313, 280, 9332, 291, 630, 32, 3007, 3763, 280, 4878, 3763, 291, 630, 32, 2161, 280, 9332, 32, 2161, 291, 630, 32, 751, 3350, 32, 31429, 8718, 4901, 558, 370, 330, 779, 370, 330, 43497, 370, 330, 3566, 3490, 291, 630, 32, 2161, 32, 10089, 32, 669, 81, 4383, 26, 784, 32, 10089, 10760, 32, 7911, 27, 291, 630, 32, 10089, 10760, 32, 3517, 26, 784, 32, 10089, 27, 291, 630, 32, 2161, 32, 48811, 32, 669, 81, 4383, 26, 784, 32, 48811, 10760, 32, 7911, 27, 291, 630, 32, 48811, 10760, 32, 3517, 26, 784, 32, 48811, 27, 284, 477, 978, 12561, 9490, 463, 16606, 683, 284, 665, 33587, 26, 784, 30, 2552, 426, 711, 291, 630, 32, 751, 3350, 32, 3815, 346, 284, 477, 978, 12561, 9490, 26, 466, 27, 284, 665, 9475, 26, 784, 30, 2552, 6333, 711, 291, 630, 32, 751, 3350, 32, 3815, 346, 291, 36563, 280, 630, 32, 2161, 32, 751, 32, 12467, 291, 436, 2350, 328, 1149, 26, 12467, 32, 12467, 32, 3494, 22805, 324, 2350, 1097, 280, 22066, 32, 67, 3350, 42484, 346, 324, 2350, 1097, 32, 18768, 26, 34, 30, 10701, 32, 3933, 4539, 30, 2350, 27, 324, 436, 4356, 328, 1149, 26, 12467, 32, 12467, 77, 1363, 997, 3494, 22805, 400, 1623, 280, 22066, 32, 67, 3350, 42484, 346, 400, 1623, 32, 18768, 26, 34, 30, 10701, 32, 3933, 4539, 30, 4356, 27, 400, 1623, 32, 18768, 26, 35, 30, 10701, 32, 3933, 4539, 30, 36563, 32, 12467, 77, 1363, 1674, 753, 997, 4840, 27, 400, 1623, 32, 18768, 26, 36, 30, 10701, 32, 3933, 4539, 30, 36563, 32, 12467, 77, 1363, 1674, 753, 997, 978, 681, 27, 400, 1623, 32, 18768, 26, 37, 30, 10701, 32, 3933, 4539, 30, 36563, 32, 12467, 77, 1363, 1674, 753, 997, 12758, 27, 400, 2350, 1097, 32, 21545, 26, 1094, 27, 324, 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, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 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, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 6, 5, 6, 6, 6, 5, 8, 8, 7, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 3, 0, 1, 1, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 7, 6, 2, 2, 5, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 7, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 8, 9, 9, 7, 8, 8, 7, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 4, 4, 9, 10, 8, 9, 7, 8, 8, 8, 7, 10, 9, 10, 10, 8, 9, 7, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 9, 10, 8, 9, 7, 8, 8, 8, 7, 10, 9, 10, 10, 8, 9, 7, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 9, 7, 2, 2, 6, 6, 6, 6, 8, 8, 3, 3, 4, 5, 6, 5, 5, 6, 5, 4, 4, 9, 10, 10, 8, 9, 8, 2, 2, 6, 6, 6, 6, 7, 6, 3, 3, 4, 5, 6, 5, 5, 6, 5, 4, 4, 9, 10, 10, 8, 9, 8, 5, 5, 7, 7, 10, 11, 9, 10, 8, 9, 5, 5, 6, 6, 6, 8, 12, 11, 12, 10, 11, 10, 6, 6, 10, 9, 9, 11, 12, 12, 12, 11, 7, 7, 11, 10, 11, 10, 11, 10, 10, 11, 12, 12, 10, 10, 10, 7, 7, 8, 8, 8, 10, 15, 14, 15, 13, 14, 13, 13, 12, 8, 8, 11, 11, 13, 14, 14, 14, 13, 9, 9, 12, 13, 12, 13, 12, 12, 13, 14, 14, 12, 12, 12, 9, 9, 12, 13, 12, 13, 12, 12, 13, 14, 14, 12, 12, 16, 17, 15, 16, 15, 15, 14, 14, 12, 9, 9, 12, 13, 12, 13, 12, 12, 13, 14, 14, 12, 12, 16, 17, 15, 16, 15, 15, 14, 14, 14, 12, 9, 9, 12, 13, 12, 13, 12, 12, 13, 14, 14, 12, 12, 16, 17, 15, 16, 15, 15, 14, 14, 12, 9, 9, 13, 12, 13, 12, 13, 12, 7, 7, 11 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 10, 10, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 10, 10, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 5, 5, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 5, 5, 0 ]
[ 433, 364, 1707, 9876, 95, 7138, 1188, 30784, 203, 1070, 8527, 32, 2304, 1188, 22158, 203, 1070, 21739, 32, 3378, 1188, 13337, 620, 30, 13337, 203, 1070, 12770, 32, 3378, 1188, 9953, 203, 1070, 9156, 32, 3378, 1188, 1995, 1240, 203, 1070, 17588, 32, 3378, 1188, 7679, 203, 1070, 4070, 32, 3550, 1188, 9923, 203, 1070, 8745, 32, 4419, 1188, 7138, 81, 452, 81, 800, 203, 589, 1487, 81, 858, 81, 39744, 2262, 284, 415, 1995, 1240, 32, 5740, 32, 2029, 26, 699, 347, 858, 1895, 998, 346, 610, 225, 34, 44, 291, 1995, 1240, 32, 5740, 32, 1297, 81, 39744, 26, 324, 952, 347, 858, 392, 1932, 81, 426, 347, 7303, 392, 2401, 81, 426, 347, 1240, 392, 4947, 347, 36, 34, 35, 39, 392, 443, 81, 11371, 347, 51, 392, 324, 9836, 81, 2171, 347, 35, 35, 35, 36, 36, 36, 37, 37, 37, 392, 4096, 347, 858, 50, 5007, 392, 3882, 347, 858, 20, 291, 829, 203, 589, 1487, 81, 858, 81, 27190, 81, 496, 2262, 284, 415, 1995, 1240, 32, 5740, 32, 2029, 26, 699, 347, 858, 1895, 998, 346, 610, 225, 34, 44, 291, 1256, 280, 1995, 1240, 32, 5740, 32, 1297, 81, 496, 26, 324, 952, 347, 858, 392, 1932, 81, 426, 347, 7303, 392, 2401, 81, 426, 347, 1240, 392, 4947, 347, 36, 34, 35, 39, 392, 443, 81, 11371, 347, 51, 392, 324, 9836, 81, 2171, 347, 35, 35, 35, 36, 36, 36, 37, 37, 37, 392, 4096, 347, 858, 50, 5007, 392, 3882, 347, 858, 20, 291, 829, 291, 1256, 32, 6967, 346, 203, 589, 6207, 26, 21794, 30, 10912, 81, 1786, 81, 965, 30, 952, 30, 3882, 711, 284, 35674, 32, 371, 15339, 101, 23, 101, 25, 904, 308, 9732, 81, 1786, 81, 965, 30, 3056, 12892, 33, 3615, 33, 2847, 284, 35674, 32, 1809, 81, 2543, 81, 1170, 81, 426, 463, 699, 1814, 2714, 81, 3494, 26, 699, 27, 284, 35674, 32, 1809, 81, 2543, 81, 1170, 81, 426, 463, 2895, 1814, 2714, 81, 3494, 26, 2895, 27, 284, 35674, 32, 1809, 81, 2543, 81, 1170, 81, 16689, 463, 306, 1640, 13283, 681, 347, 4737, 20201, 2942, 346, 203, 589, 1487, 81, 858, 81, 2609, 81, 681, 2262, 284, 7618, 81, 681, 280, 13337, 620, 26, 32134, 347, 43, 41, 42, 34, 36, 40, 36, 39, 37, 37, 34, 39, 42, 392, 20613, 347, 6675, 22481, 392, 1780, 347, 25829, 372, 45068, 392, 656, 26782, 81, 4548, 47, 36, 34, 34, 43, 30, 7661, 47, 40, 34, 32, 39, 34, 30, 8702, 47, 1815, 27, 284, 7618, 81, 681, 32, 2853, 346, 284, 442, 7618, 81, 681, 203, 589, 1487, 81, 858, 81, 3153, 2262, 284, 6215, 280, 9953, 26, 426, 347, 1006, 6215, 657, 284, 6215, 32, 2853, 346, 284, 442, 6215, 203, 589, 1487, 81, 858, 81, 725, 81, 496, 2262, 284, 1123, 81, 496, 280, 1995, 1240, 26, 2232, 81, 426, 347, 7303, 392, 2401, 81, 426, 347, 1240, 392, 4947, 47, 36, 34, 35, 37, 30, 443, 81, 11371, 347, 51, 392, 9836, 81, 2171, 347, 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, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 10, 9, 10, 8, 9, 8, 10, 9, 11, 11, 7, 6, 4, 4, 5, 3, 3, 3, 9, 8, 9, 7, 8, 8, 8, 7, 7, 7, 8, 10, 10, 7, 9, 9, 8, 10, 10, 7, 9, 9, 8, 10, 10, 7, 8, 10, 10, 10, 10, 10, 7, 9, 9, 8, 10, 10, 7, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 10, 9, 10, 8, 9, 8, 10, 9, 11, 11, 7, 6, 4, 4, 5, 3, 3, 3, 6, 6, 10, 9, 10, 8, 9, 9, 9, 8, 8, 8, 9, 11, 11, 8, 10, 10, 9, 11, 11, 8, 10, 10, 9, 11, 11, 8, 9, 11, 11, 11, 11, 11, 8, 10, 10, 9, 11, 11, 8, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 9, 11, 11, 11, 11, 8, 9, 11, 11, 8, 8, 4, 4, 7, 8, 7, 0, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 6, 5, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 2, 2, 7, 8, 8, 8, 8, 8, 8, 8, 7, 9, 9, 6, 6, 6, 5, 6, 5, 2, 2, 7, 8, 8, 8, 8, 8, 8, 8, 7, 9, 9, 6, 6, 6, 5, 6, 5, 2, 2, 7, 8, 8, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 9, 9, 9, 6, 7, 9, 9, 9, 9, 6, 6, 8, 8, 7, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 6, 6, 7, 8, 6, 2, 2, 6, 6, 5, 6, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 8, 7, 9, 9, 9, 2, 2, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 8, 8, 8, 7, 9, 9, 6, 8, 8, 7, 9, 9, 6, 7, 8, 8, 8, 8, 6, 6, 8, 8, 7, 9, 9, 6, 8, 8, 7, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 0, 8, 8, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 2, 1, 0, 0, 5, 1, 2, 1, 7, 1, 1, 1, 1, 2, 1, 0, 0, 9, 1, 2, 1, 1, 0, 0, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 13, 1, 1, 1, 2, 1, 15, 1, 2, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 2, 1, 0, 0, 5, 1, 2, 1, 7, 1, 1, 1, 1, 2, 1, 0, 0, 9, 1, 2, 1, 1, 0, 0, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 13, 1, 1, 1, 2, 1, 15, 1, 2, 1, 1, 3, 3, 0, 2, 1, 0, 10, 10, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 10, 10, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 11, 11, 1, 1, 1, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 0, 0, 7, 2, 2, 2, 2, 1, 1, 9, 2, 2, 2, 2, 2, 1, 1, 11, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 2, 1, 1, 0, 12, 12, 1, 1, 1, 1, 2, 12, 12, 0, 0, 1, 0, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 2, 0, 13, 13, 1, 1, 1, 1, 1, 1, 2, 13, 13, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 3, 1, 2, 1, 5, 2, 2, 2, 2, 1, 1, 0, 0, 7, 1, 2, 1, 0, 0, 9, 1 ]
[ 465, 5741, 203, 1070, 20211, 32, 8216, 1188, 30843, 30, 19546, 10345, 35, 54, 30, 21968, 2414, 30, 46224, 35, 54, 30, 7462, 34161, 35, 54, 30, 22901, 2472, 30, 4237, 203, 1070, 20211, 32, 3378, 1188, 3678, 203, 1070, 8745, 32, 605, 81, 2304, 1188, 2454, 81, 20711, 81, 4873, 203, 589, 1487, 81, 1536, 81, 1160, 26, 1163, 81, 605, 711, 284, 12939, 81, 2029, 280, 225, 36, 34, 34, 284, 2761, 81, 1322, 280, 225, 40, 284, 6826, 81, 12732, 280, 12939, 81, 2029, 284, 23877, 81, 4873, 280, 2454, 81, 20711, 81, 4873, 26, 1163, 81, 605, 27, 284, 1769, 81, 5905, 280, 23877, 81, 4873, 32, 3229, 77, 34, 79, 284, 23877, 81, 12732, 280, 23877, 81, 4873, 32, 3229, 77, 35, 79, 284, 1769, 81, 1657, 280, 1359, 81, 605, 710, 1449, 81, 18107, 81, 1322, 785, 284, 5741, 32, 1338, 463, 3313, 3678, 30865, 284, 5741, 32, 1338, 463, 48952, 41030, 44, 5989, 835, 8969, 2473, 1643, 26, 1449, 81, 5905, 30, 23877, 81, 12732, 490, 284, 2575, 81, 1131, 280, 4237, 26, 4432, 81, 3229, 4310, 2521, 30, 1769, 81, 1657, 471, 9710, 1057, 410, 37, 36, 370, 636, 1057, 1831, 81, 1131, 683, 284, 415, 646, 1359, 81, 605, 32, 371, 463, 3855, 81, 20711, 370, 1665, 711, 291, 5741, 32, 1338, 463, 2626, 17123, 10211, 21968, 21656, 683, 291, 41584, 280, 21968, 2414, 26, 324, 1769, 81, 5905, 30, 324, 23877, 81, 12732, 30, 324, 1509, 81, 1322, 47, 1449, 81, 1657, 30, 324, 11229, 6020, 20711, 81, 4873, 614, 324, 5683, 444, 47, 2700, 291, 26894, 1831, 81, 1131, 27, 284, 813, 44, 291, 5741, 32, 1338, 463, 6096, 10211, 21968, 21656, 683, 291, 41584, 280, 21968, 2414, 26, 1449, 81, 5905, 30, 23877, 81, 12732, 30, 3219, 1057, 11257, 311, 81, 10586, 370, 1509, 81, 1322, 47, 1449, 81, 1657, 2502, 1831, 81, 1131, 27, 284, 1288, 265, 520, 2366, 280, 19546, 10345, 35, 54, 26, 2029, 81, 1322, 429, 225, 35, 2502, 32615, 27, 284, 11492, 35, 280, 46224, 35, 54, 26, 291, 12939, 81, 2029, 47, 1490, 81, 2029, 30, 291, 2761, 81, 1322, 47, 2029, 81, 1322, 30, 291, 3168, 81, 2816, 1057, 1327, 370, 291, 13226, 1057, 15159, 370, 291, 1361, 3287, 81, 1322, 47, 35, 2502, 4501, 520, 2366, 27, 284, 1769, 81, 5178, 299, 35, 280, 7462, 34161, 35, 54, 26, 5178, 81, 1322, 47, 38, 30, 12510, 47, 36, 2502, 6081, 35, 27, 284, 11492, 36, 280, 46224, 35, 54, 26, 291, 12939, 81, 2029, 47, 1490, 81, 2029, 30, 291, 2761, 81, 1322, 47, 2029, 81, 1322, 30, 291, 3168, 81, 2816, 1057, 1327, 370, 291, 13226, 1057, 15159, 370, 291, 1361, 3287, 81, 1322, 47, 35, 2502, 1449, 81, 5178, 299, 35, 27, 284, 1769, 81, 5178, 299, 36, 280, 7462, 34161, 35, 54, 26, 5178, 81, 1322, 47, 6081, 36, 1114, 15704, 81, 3229, 77, 35, 1130, 26, 6081, 36, 27, 284, 21096, 280, 22901, 2472, 18627, 1449, 81, 5178, 299, 36, 27, 284, 6826, 280, 30843, 26, 3864, 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, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 5, 6, 5, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 2, 2, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 5, 5, 4, 4, 6, 8, 8, 8, 7, 9, 8, 8, 9, 9, 8, 6, 7, 9, 9, 9, 9, 6, 7, 9, 9, 9, 9, 2, 2, 3, 4, 7, 7, 6, 7, 6, 8, 8, 8, 8, 6, 6, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 9, 9, 9, 9, 10, 10, 9, 9, 9, 10, 10, 9, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 9, 10, 12, 12, 12, 11, 9, 9, 11, 10, 11, 9, 9, 9, 9, 9, 8, 3, 3, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 5, 5, 7, 7, 10, 10, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 13, 13, 13, 13, 13, 10, 12, 12, 11, 12, 12, 12, 10, 10, 10, 10, 9, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 9, 9, 9, 8, 8, 9, 7, 7, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 7, 7, 9, 9, 9, 8, 9, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 9, 9, 9, 8, 9, 7, 7, 8, 9, 7, 7, 7, 6, 2, 2, 5, 4, 4, 7, 7, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 8, 10, 10, 7, 7, 9, 9, 9, 8, 9, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 9, 9, 9, 8, 11, 11, 10, 11, 11, 11, 9, 10, 9, 6, 7, 7, 6, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 4, 4, 7, 8, 8 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 3, 3, 2, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 4, 4, 10, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 10, 10, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 7, 1, 1, 1, 2, 1, 1, 0, 9, 2, 1, 1, 1, 1, 1, 1, 10, 10, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 1, 1, 2, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 1, 2, 1, 1, 7, 1, 2, 1, 1, 0, 0, 0, 9, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 1, 2, 1, 1, 7, 1, 2, 1, 1, 0, 0, 0, 9, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1 ]
[ 465, 4395, 203, 1070, 2322, 315, 81, 2304, 1188, 1188, 2304, 203, 1070, 33206, 81, 557, 378, 3365, 32, 941, 33367, 32, 5558, 1188, 3973, 619, 1278, 378, 3365, 81, 2796, 203, 1070, 1168, 33367, 32, 4882, 32, 2243, 32, 9081, 1188, 894, 81, 6385, 1299, 619, 298, 1299, 203, 2743, 2347, 81, 21385, 280, 2726, 32524, 81, 557, 378, 3365, 32, 941, 33367, 32, 5558, 32, 18150, 4564, 3083, 330, 9539, 81, 557, 378, 1356, 32, 1822, 378, 1356, 683, 203, 1852, 2223, 81, 9674, 758, 280, 330, 35, 32, 35, 32, 35, 32, 35, 25, 203, 1852, 2223, 81, 3624, 280, 330, 35, 36, 37, 38, 25, 203, 1852, 2223, 81, 19452, 280, 330, 9539, 81, 2300, 25, 203, 1852, 2223, 81, 13001, 280, 330, 9539, 81, 2895, 25, 203, 1852, 2223, 81, 14247, 280, 330, 34, 25, 203, 823, 15728, 32549, 7233, 26, 98, 1299, 32, 2570, 1299, 4814, 7233, 711, 284, 617, 2796, 81, 426, 280, 2726, 32524, 81, 557, 378, 3365, 32, 941, 33367, 32, 5558, 4564, 528, 330, 2796, 32, 6515, 33367, 4152, 2743, 2347, 3365, 72, 36, 683, 284, 665, 14553, 26, 784, 711, 291, 665, 26966, 81, 557, 378, 1356, 81, 1664, 26, 784, 711, 324, 32736, 81, 557, 378, 3365, 280, 18479, 2223, 81, 9674, 758, 324, 32736, 81, 625, 280, 18479, 2223, 81, 3624, 324, 32736, 81, 699, 280, 18479, 2223, 81, 19452, 324, 32736, 81, 2895, 280, 18479, 2223, 81, 13001, 324, 5868, 280, 18479, 2223, 81, 14247, 324, 630, 1114, 557, 378, 1356, 280, 1188, 2304, 32, 465, 81, 1473, 26, 2743, 2347, 81, 21385, 27, 324, 630, 1114, 557, 378, 1356, 32, 31570, 81, 3781, 26, 31570, 81, 557, 378, 3365, 30, 2476, 32736, 81, 625, 30, 5868, 30, 2476, 32736, 81, 699, 30, 2476, 32736, 81, 2895, 27, 291, 623, 4395, 32, 2675, 32, 1473, 26, 557, 378, 3365, 81, 2796, 32, 6515, 33367, 4152, 2743, 2347, 3365, 72, 36, 30, 7686, 330, 557, 378, 3365, 81, 1664, 370, 537, 47, 42031, 81, 557, 378, 1356, 81, 1664, 711, 324, 2599, 26, 2570, 32549, 7233, 30, 630, 547, 23741, 346, 284, 665, 28921, 26, 784, 711, 291, 2599, 26, 2570, 32549, 7233, 30, 630, 547, 519, 282, 3211, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 6, 6, 9, 9, 8, 8, 9, 9, 9, 6, 6, 9, 9, 8, 8, 9, 9, 9, 6, 6, 9, 9, 8, 8, 9, 9, 9, 6, 6, 8, 8, 9, 9, 9, 6, 6, 9, 10, 10, 10, 8, 8, 11, 10, 11, 11, 11, 10, 11, 11, 11, 11, 10, 6, 6, 10, 11, 11, 11, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 9, 9, 10, 10, 9, 9, 9, 9, 9, 10, 10, 9, 9, 9, 10, 10, 9, 4, 4, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 11, 9, 10, 11, 11, 11, 11, 11, 11, 11, 9, 5, 5, 11, 12, 12, 12, 11, 11, 11, 10, 9, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 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 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 4, 2, 2, 3, 3, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 10, 10, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 10, 10, 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, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 9, 9, 1, 4, 4, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 31074, 203, 465, 4134, 203, 465, 316, 203, 1070, 13625, 1188, 20717, 203, 1070, 2417, 2304, 1188, 9195, 3922, 203, 1070, 2417, 7490, 1188, 1930, 81, 4073, 261, 203, 751, 280, 1930, 81, 4073, 4064, 426, 8223, 203, 24843, 280, 330, 4398, 25, 203, 5762, 783, 13829, 280, 330, 980, 26240, 25, 203, 823, 14975, 2348, 2710, 2262, 284, 827, 280, 36143, 284, 665, 1156, 1664, 3207, 784, 30, 3420, 30, 9305, 5349, 81, 3494, 47, 1026, 20664, 47, 1026, 3048, 1057, 2023, 3048, 7831, 291, 415, 646, 3420, 44, 324, 630, 32, 2029, 81, 1126, 280, 1665, 324, 5349, 81, 3494, 280, 1404, 291, 813, 44, 324, 630, 32, 2029, 81, 1126, 280, 3420, 291, 630, 32, 22725, 81, 3494, 280, 5349, 81, 3494, 291, 630, 32, 17030, 280, 20664, 291, 630, 32, 2310, 280, 3048, 203, 823, 390, 317, 2348, 2710, 2262, 284, 827, 280, 14199, 783, 13829, 284, 665, 1156, 1664, 3207, 784, 30, 9305, 786, 81, 681, 30, 786, 81, 18241, 47, 2521, 30, 786, 81, 16937, 47, 2521, 30, 353, 786, 81, 5954, 47, 2521, 30, 619, 81, 2420, 47, 2521, 30, 5349, 81, 3494, 47, 1026, 20664, 47, 1026, 353, 3048, 1057, 2023, 3048, 7831, 291, 630, 32, 853, 81, 681, 280, 786, 81, 681, 291, 630, 32, 22725, 81, 3494, 280, 5349, 81, 3494, 291, 630, 32, 17030, 280, 20664, 291, 630, 32, 2310, 280, 3048, 291, 630, 32, 853, 81, 5954, 280, 786, 81, 5954, 415, 786, 81, 5954, 438, 646, 1665, 813, 786, 81, 681, 291, 415, 786, 81, 18241, 438, 646, 1665, 44, 324, 630, 32, 853, 81, 18241, 280, 786, 81, 18241, 291, 4348, 2069, 26, 784, 32, 22725, 81, 3494, 27, 610, 225, 35, 44, 324, 630, 32, 853, 81, 18241, 280, 9254, 343, 288, 30, 831, 47, 22725, 81, 3494, 77, 34, 2786, 343, 288, 77, 93, 79, 291, 813, 44, 324, 3636, 12678, 463, 9085, 2793, 623, 5349, 81, 3494, 6132, 100, 44, 786, 81, 18241, 370, 630, 32, 22725, 81, 3494, 27, 291, 415, 786, 81, 16937, 438, 1665, 44, 324, 665, 786, 81, 16937, 26, 1094, 30, 3089, 30, 1256, 81, 853, 30, 354, 89, 47, 784, 32, 853, 81, 18241, 711, 400, 1623, 81, 853, 280, 354, 89, 26, 1094, 27, 400, 415, 6937, 26, 1094, 81, 853, 30, 20717, 32, 5731, 711, 528, 442, 1346, 26, 520, 26, 18181, 30, 1256, 81, 853, 27, 436, 15609, 279, 328, 1623, 81, 853, 27, 400, 813, 44, 528, 442, 3089, 26, 1094, 81, 853, 30, 1256, 81, 853, 27, 291, 630, 32, 853, 81, 16937, 280, 786, 81, 16937, 291, 415, 619, 81, 2420, 438, 1665, 44, 324, 665, 619, 81, 2420, 26, 1094, 30, 354, 89, 47, 784, 32, 853, 81, 18241, 711, 400, 1623, 81, 853, 280, 354, 89, 26, 1094, 27, 400, 415, 6937, 26, 1094, 81, 853, 30, 20717, 32, 5731, 711, 528, 442, 1346, 26, 1094, 81, 853, 27, 400, 813, 44, 528, 442, 1560, 26, 1094, 81, 853, 27, 291, 630, 32, 302, 81, 2420, 280, 619, 81, 2420 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 0, 3, 2, 2, 4, 4, 4, 5, 5, 0, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 5, 6, 4, 5, 7, 7, 7, 3, 3, 5, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 6, 6, 9, 9, 8, 8, 5, 5, 6, 6, 6, 10, 11, 11, 11, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 1, 1, 4, 4, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 5, 6, 4, 4, 5, 7, 7, 7, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 7, 7, 9, 9, 8, 8, 8, 7, 7, 8, 8, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 9, 9, 5, 5, 6, 9, 11, 10, 11, 11, 11, 9, 7, 7, 8, 6, 6, 6, 10, 11, 11, 11, 9, 9, 10, 12, 11, 11, 12, 14, 14, 14, 13, 14, 13, 10, 12, 11, 12, 11, 5, 5, 6, 6, 6, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 12, 12, 12, 10, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 7, 8, 8, 8, 9, 8, 8, 8, 8, 9, 9, 8, 8, 10, 9, 11, 10, 11, 11, 11, 8, 7, 7, 11, 11, 10, 10, 12, 12, 13, 12, 8, 8, 9, 11, 12, 12, 12, 11, 11, 12, 13, 11, 9, 9, 11, 13, 15, 15, 16, 15, 15, 16, 16, 15, 13, 14, 15, 14, 14, 15, 15, 13, 9, 9, 10, 10, 10, 12, 14, 15, 15, 15, 14, 14, 15, 15, 14, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 7, 8, 8, 8, 9, 8, 8, 10, 9, 11, 10, 11, 11, 11, 8, 7, 7, 11, 11, 10, 10, 12, 12, 13, 12, 8, 8, 9, 11, 12, 12, 12, 11, 11, 12, 13, 11, 9, 9, 11, 13, 14, 14, 14, 13, 9, 9, 10, 10, 10, 12, 14, 15, 15, 15, 14, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 9, 9, 1, 1, 2, 9, 9, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 9, 2, 2, 11, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 10, 10, 1, 1, 1, 2, 10, 10, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 0, 0, 15, 2, 2, 17, 2, 2, 2, 19, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 0, 0, 1, 1, 1, 5, 5, 5, 0, 2, 2, 2, 0, 0, 2, 2, 5, 5, 4, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 4, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 3, 2, 3, 5, 5, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 6, 0, 0, 1, 1, 6, 6, 6, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 7, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 2, 1, 2, 2, 3, 3, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 8, 0, 0, 1, 1, 8, 8, 8, 0, 1, 1, 2, 1, 2, 2, 0, 3, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2 ]
[ 1070, 8527, 32, 2957, 32, 11400, 1188, 1984, 203, 1070, 4125, 32, 9769, 1188, 11875, 203, 725, 81, 426, 280, 330, 500, 88, 25, 203, 965, 15719, 280, 428, 284, 1984, 26, 100, 28249, 37143, 11875, 32, 2256, 720, 32, 302, 81, 1071, 1026, 636, 47, 4338, 32, 2256, 720, 32, 1071, 81, 426, 471, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4170, 81, 314, 5213, 105, 41341, 37143, 11875, 32, 2256, 5287, 32, 302, 81, 1071, 1026, 636, 47, 4338, 32, 2256, 5287, 32, 1071, 81, 426, 471, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4170, 81, 314, 5213, 105, 41341, 39241, 81, 4519, 9764, 370, 11875, 32, 48853, 4232, 720, 32, 302, 81, 1071, 1026, 636, 47, 4338, 32, 48853, 4232, 720, 32, 1071, 81, 426, 471, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4170, 81, 314, 5213, 105, 41341, 39241, 81, 4519, 33, 12390, 66, 46, 12478, 95, 81, 314, 5213, 105, 41341, 37143, 11875, 32, 48853, 4232, 5287, 32, 302, 81, 1071, 1026, 636, 47, 4338, 32, 48853, 4232, 5287, 32, 1071, 81, 426, 471, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4170, 81, 314, 5213, 105, 41341, 11128, 81, 5459, 9764, 370, 11875, 32, 15384, 5909, 720, 32, 302, 81, 1071, 1026, 636, 47, 4338, 32, 15384, 5909, 720, 32, 1071, 81, 426, 471, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4170, 81, 314, 5213, 105, 41341, 11128, 81, 1001, 39363, 9764, 370, 11875, 32, 15384, 2626, 39363, 720, 32, 302, 81, 1071, 1026, 636, 47, 4338, 32, 15384, 2626, 39363, 720, 32, 1071, 81, 426, 471, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4170, 81, 314, 5213, 105, 41341, 11128, 81, 12076, 31474, 9764, 370, 11875, 32, 15384, 13557, 31474, 720, 32, 302, 81, 1071, 1026, 636, 47, 4338, 32, 15384, 13557, 31474, 720, 32, 1071, 81, 426, 471, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4170, 81, 314, 5213, 105, 41341, 1251, 81, 7676, 9764, 370, 11875, 32, 1212, 11624, 720, 32, 302, 81, 1071, 1026, 636, 47, 4338, 32, 1212, 11624, 720, 32, 1071, 81, 426, 471, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4170, 81, 314, 5213, 105, 41341, 1251, 81, 7676, 33, 12390, 66, 46, 1251, 81, 1204, 81, 314, 5213, 105, 41341, 370, 11875, 32, 1212, 11624, 5287, 32, 302, 81, 1071, 1026, 636, 47, 4338, 32, 1212, 11624, 5287, 32, 1071, 81, 426, 471, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4170, 81, 314, 5213, 105, 41341, 40186, 33, 11128, 81, 5459, 9764, 370, 11875, 32, 2256, 15384, 5909, 13175, 32, 302, 81, 1071, 1026, 636, 47, 4338, 32, 2256, 15384, 5909, 13175, 32, 1071, 81, 426, 471, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4170, 81, 314, 5213, 105, 41341, 40186, 33, 11128, 81, 1001, 39363, 9764, 370, 11875, 32, 2256, 15384, 2626, 39363, 13175, 32, 302, 81, 1071, 1026, 636, 47, 4338, 32, 2256, 15384, 2626, 39363, 13175, 32, 1071, 81, 426, 471, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4170, 81, 314, 5213, 105, 41341, 40186 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 2, 2, 3, 3, 5, 7, 7, 7, 5, 8, 9, 9, 7, 8, 8, 8, 7, 5, 6, 9, 8, 9, 9, 7, 8, 8, 8, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 9, 9, 7, 8, 8, 8, 7, 5, 6, 9, 8, 9, 9, 7, 8, 8, 8, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 9, 9, 9, 7, 8, 8, 8, 7, 5, 6, 9, 8, 9, 9, 9, 7, 8, 8, 8, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 9, 9, 9, 7, 8, 8, 8, 7, 5, 6, 9, 8, 9, 9, 9, 7, 8, 8, 8, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 9, 9, 9, 7, 8, 8, 8, 7, 5, 6, 9, 8, 9, 9, 9, 7, 8, 8, 8, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 9, 9, 9, 9, 7, 8, 8, 8, 7, 5, 6, 9, 8, 9, 9, 9, 9, 7, 8, 8, 8, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 9, 9, 9, 9, 7, 8, 8, 8, 7, 5, 6, 9, 8, 9, 9, 9, 9, 7, 8, 8, 8, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 9, 9, 9, 7, 8, 8, 8, 7, 5, 6, 9, 8, 9, 9, 9, 7, 8, 8, 8, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 9, 9, 9, 7, 8, 8, 8, 7, 5, 6, 9, 8, 9, 9, 9, 7, 8, 8, 8, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 9, 9, 9, 9, 7, 8, 8, 8, 7, 5, 6, 9, 8, 9, 9, 9, 9, 7, 8, 8, 8, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 9, 9, 9, 9, 9, 7, 8, 8, 8, 7, 5, 6, 9, 8, 9, 9, 9, 9, 9, 7, 8, 8, 8, 5, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 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, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 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, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 748, 28769, 81, 20784, 280, 428, 334, 2726, 72, 3900, 779, 1296, 370, 330, 1848, 314, 297, 370, 330, 72, 476, 314, 297, 1425, 334, 2726, 2978, 11785, 370, 330, 2978, 35767, 370, 330, 17895, 11956, 31, 14863, 4451, 265, 2563, 1425, 203, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1619, 1356, 203, 1070, 456, 2593, 1188, 2971, 972, 203, 465, 4395, 203, 1070, 2322, 315, 81, 32648, 1188, 2164, 2304, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 34856, 1188, 3756, 203, 1070, 34856, 32, 4573, 1188, 14244, 81, 1299, 203, 1070, 34856, 32, 4573, 1188, 1542, 619, 3984, 81, 1160, 203, 1070, 34856, 1188, 4684, 203, 1070, 34856, 32, 24982, 1188, 8745, 619, 40507, 81, 2304, 203, 1070, 34856, 1188, 894, 203, 1070, 34856, 1188, 8745, 203, 1070, 34856, 32, 18321, 32, 1356, 18321, 1188, 1359, 619, 354, 1163, 203, 1070, 34856, 32, 18321, 32, 1356, 18321, 1188, 354, 325, 203, 14594, 280, 8444, 32, 14594, 203, 823, 17442, 18321, 72, 325, 7233, 26, 858, 32, 2023, 1996, 7233, 711, 284, 16686, 81, 12154, 81, 38, 280, 3984, 81, 1160, 32, 2027, 26, 2468, 1057, 35, 34, 35, 32, 35, 40, 42, 32, 35, 32, 35, 370, 827, 1057, 10419, 683, 284, 22329, 81, 12154, 81, 38, 280, 3984, 81, 1160, 32, 2027, 26, 2468, 1057, 42, 32, 42, 32, 42, 32, 42, 370, 827, 47, 2521, 27, 284, 35576, 81, 12154, 81, 38, 280, 428, 4573, 81, 1160, 32, 2027, 26, 2468, 1057, 35, 34, 35, 32, 35, 40, 42, 32, 35, 32, 43, 370, 827, 47, 2521, 2177, 284, 20072, 81, 12154, 81, 38, 280, 3984, 81, 1160, 32, 20319, 26, 36966, 1057, 35, 34, 35, 32, 35, 40, 42, 32, 35, 32, 34, 33, 36, 38, 370, 12928, 22329, 6020, 12236, 81, 12154, 81, 38, 614, 12928, 16686, 47, 10419, 81, 12154, 81, 38, 30, 12928, 11014, 47, 2521, 30, 12928, 27519, 2219, 81, 1786, 1057, 35, 43, 35, 32, 35, 40, 42, 32, 35, 32, 35, 683, 284, 16686, 81, 12154, 81, 40, 280, 3984, 81, 1160, 32, 2027, 26, 2468, 1057, 35, 34, 35, 44, 35, 1199, 43, 403, 35, 370, 827, 1057, 10419, 683, 284, 20072, 81, 12154, 81, 40, 280, 3984, 81, 1160, 32, 20319, 26, 36966, 1057, 35, 34, 35, 44, 35, 1199, 43, 403, 33, 40, 38, 370, 12928, 22329, 47, 2521, 30, 12928, 16686, 47, 10419, 81, 12154, 81, 40, 30, 12928, 35576, 47, 2521, 30, 12928, 11014, 47, 2521, 27, 284, 3984, 81, 12154, 280, 3984, 81, 1160, 32, 4711, 26, 314, 1057, 4573, 31, 314, 31, 10492, 31, 32969, 31, 4669, 108, 370, 12928, 20196, 1057, 839, 34, 370, 12928, 2266, 47, 2521, 30, 12928, 20072, 101, 6020, 19838, 81, 12154, 81, 38, 30, 5593, 20072, 81, 12154, 81, 40, 614, 12928, 20196, 81, 3337, 1057, 9968, 34, 370, 12928, 45361, 47, 43, 43, 27, 284, 354, 325, 81, 12154, 280, 3984, 81, 1160, 32, 72, 2952, 26, 314, 1057, 104, 325, 31, 10492, 31, 32969, 31, 4669, 108, 370, 9111, 2965, 1057, 1173, 44, 1225, 44, 286, 44, 339, 44, 864, 44, 2312, 370, 9111, 3984, 47, 4573, 81, 12154, 30, 9111, 827, 47, 4573, 81, 1160, 32, 72, 2952, 81, 2319, 81, 4758, 779, 3055, 30, 9111, 5684, 426, 1057, 16186, 31, 10492, 31, 32969, 31, 4669, 108, 370, 9111, 337, 4849, 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, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 3, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 8, 8, 8, 7, 8, 7, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 8, 9, 7, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 8, 6, 6, 7, 8, 8, 8, 8, 8, 6, 6, 6, 7, 8, 6, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 8, 6, 6, 6, 7, 8, 8, 8, 8, 8, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 6, 6, 7, 8, 6, 6, 6, 8, 7, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 8, 6, 6, 8, 8, 7, 9, 9, 9, 6, 6, 7, 8, 8, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 8, 8, 8, 6, 6, 6, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 7, 7, 1, 2, 7, 7, 3, 3, 2, 2, 0, 8, 8, 8, 8, 0, 9, 9, 1, 2, 9, 9, 3, 3, 2, 2, 0, 10, 10, 10, 10, 0, 11, 11, 11, 11, 0, 12, 12, 1, 2, 1, 4, 4, 12, 12, 3, 3, 2, 0, 13, 13, 1, 2, 1, 4, 4, 13, 13, 0, 0, 0, 0, 0, 2, 2, 0, 15, 15, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 1, 1, 0, 0, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 1, 7, 2, 1, 1, 1, 9, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 2, 1, 1, 5, 2, 1, 1, 1, 0, 7, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 0, 9, 1, 1, 2, 1, 1, 11, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 2, 1, 1, 1, 7, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 1133, 203, 465, 2322, 203, 1070, 3996, 1188, 6466, 203, 1070, 3996, 1188, 1930, 203, 1070, 3996, 1188, 6466, 984, 203, 1070, 3996, 1188, 9320, 203, 589, 1420, 26, 426, 711, 284, 3996, 280, 1930, 26, 636, 829, 284, 2152, 280, 428, 34, 30, 34, 79, 284, 1477, 280, 1133, 32, 1003, 346, 284, 3996, 32, 10982, 26, 34, 27, 284, 2152, 77, 35, 79, 280, 308, 1003, 32, 1003, 17662, 1366, 27, 284, 1477, 280, 1133, 32, 1003, 346, 284, 3996, 32, 84, 2548, 26, 34, 27, 284, 2152, 77, 34, 79, 280, 308, 1003, 32, 1003, 17662, 1366, 27, 284, 442, 2152, 203, 589, 1983, 2262, 284, 4467, 280, 1149, 346, 284, 323, 2548, 280, 1149, 346, 284, 27009, 280, 1149, 346, 284, 436, 636, 328, 2322, 32, 26366, 12004, 23626, 10280, 291, 4467, 32, 1689, 26, 426, 27, 291, 636, 280, 5587, 23626, 5681, 474, 636, 291, 736, 280, 1420, 26, 426, 27, 291, 323, 2548, 32, 1689, 26, 575, 77, 34, 1130, 291, 27009, 32, 1689, 26, 575, 77, 35, 1130, 284, 436, 1650, 328, 2155, 26, 34, 30, 2069, 26, 4243, 8531, 291, 636, 280, 4467, 77, 1055, 79, 291, 323, 280, 323, 2548, 77, 1055, 79, 291, 343, 280, 27009, 77, 1055, 79, 291, 1932, 280, 5461, 101, 20, 904, 596, 26, 1473, 47, 426, 547, 94, 4510, 26, 37, 34, 30, 313, 7788, 291, 3100, 280, 5461, 101, 20, 904, 596, 26, 1473, 47, 84, 547, 100, 4510, 26, 35, 42, 30, 313, 7788, 291, 10970, 280, 5461, 101, 20, 904, 596, 26, 1473, 47, 86, 547, 94, 4510, 26, 36, 34, 30, 313, 7788, 291, 1459, 440, 10982, 44, 313, 474, 596, 26, 86, 27, 474, 313, 225, 323, 2548, 44, 313, 474, 596, 26, 84, 490, 291, 415, 343, 848, 323, 44, 324, 1459, 440, 10982, 438, 15162, 544, 313, 474, 1932, 474, 313, 810, 313, 474, 596, 26, 3596, 26, 84, 31, 86, 490, 474, 313, 6791, 657, 291, 813, 44, 324, 1459, 440, 84, 2548, 438, 15162, 544, 313, 474, 1932, 474, 313, 810, 313, 474, 596, 26, 3596, 26, 84, 31, 86, 490, 474, 313, 6791, 657, 203, 1704, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 5, 6, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 6, 5, 4, 4, 9, 8, 9, 8, 7, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 6, 6, 5, 6, 5, 2, 2, 5, 6, 5, 4, 4, 9, 8, 9, 8, 7, 5, 2, 2, 3, 0, 1, 1, 2, 1, 1, 4, 4, 6, 2, 2, 5, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 3, 3, 3, 5, 6, 5, 7, 7, 3, 3, 7, 8, 7, 8, 7, 4, 4, 6, 6, 9, 9, 7, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 8, 7, 8, 7, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 8, 9, 8, 2, 2, 3, 3, 3, 5, 6, 5, 5, 7, 8, 7, 3, 3, 6, 6, 7, 8, 7, 4, 4, 6, 6, 8, 7, 8, 7, 4, 4, 6, 6, 7, 8, 7, 4, 4, 6, 6, 9, 9, 7, 7, 11, 13, 12, 13, 11, 10, 10, 9, 10, 10, 9, 9, 11, 4, 4, 6, 6, 9, 9, 7, 7, 11, 13, 12, 13, 11, 10, 10, 9, 10, 10, 9, 9, 11, 4, 4, 6, 6, 9, 9, 7, 7, 11, 13, 12, 13, 11, 10, 10, 9, 10, 10, 9, 9, 11, 4, 4, 7, 12, 12, 12, 10, 10, 12, 13, 12, 9, 9, 11, 11, 11, 11, 11, 8, 8, 10, 11, 10, 4, 4, 5, 6, 6, 5, 5, 5, 9, 15, 15, 15, 15, 15, 13, 13, 12, 12, 14, 14, 11, 11, 13, 15, 15, 17, 16, 17, 15, 10, 10, 12, 12, 5, 5, 6, 6, 6, 10, 16, 16, 16, 16, 16, 16, 14, 14, 13, 13, 15, 15, 12, 12, 14, 16, 16, 18, 17, 18, 16, 11, 11, 13, 13, 0, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 0, 6, 6, 6, 6, 0, 7, 7, 2, 1, 2, 7, 7, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 2, 3, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 4, 4, 8, 0, 8, 8, 2, 8, 8, 0, 0, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 1, 4, 4, 3, 3, 3, 0, 2, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 5, 5, 0, 0, 1, 1, 2, 2, 5, 5, 0, 0, 1, 1, 1, 5, 5, 0, 0, 2, 1, 0, 1, 2, 1, 5, 5, 0, 2, 1, 0, 1, 2, 1, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 2, 2, 2, 5, 5, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 7, 1, 1, 7, 7, 7, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 7, 7, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 30, 3731, 30, 18697, 203, 3515, 81, 1113, 6175, 280, 2322, 32, 983, 32, 35490, 26, 500, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 2998, 26, 18697, 32, 371, 761, 26, 17787, 32, 1700, 1744, 346, 9658, 77, 34, 22353, 1458, 14036, 203, 325, 4774, 81, 1113, 6175, 646, 328, 5237, 32, 983, 44, 284, 5237, 32, 983, 32, 3215, 26, 34, 30, 4774, 81, 1113, 6175, 27, 203, 465, 1359, 3922, 203, 465, 46032, 32, 95, 21894, 203, 1070, 17226, 299, 3206, 5876, 32, 3325, 6536, 10845, 299, 1188, 1283, 15487, 203, 1070, 17226, 299, 3206, 5876, 32, 3325, 6536, 10845, 299, 1188, 16643, 10845, 299, 7870, 203, 1070, 17226, 299, 3206, 5876, 32, 3325, 6536, 10845, 299, 1188, 16643, 17799, 203, 589, 409, 4566, 20773, 25294, 2185, 12504, 26, 981, 2927, 101, 711, 284, 26036, 280, 225, 35, 34, 34, 284, 8446, 280, 3330, 17946, 436, 26036, 22923, 2927, 30, 5093, 328, 409, 4566, 101, 44, 291, 26036, 1454, 26036, 22923, 2927, 291, 8446, 1454, 2884, 78, 96, 77, 20780, 35, 88, 79, 313, 904, 26036, 22923, 2927, 27, 474, 5093, 474, 3003, 313, 284, 415, 308, 1657, 26, 981, 2927, 101, 19162, 34, 711, 291, 8446, 280, 313, 45236, 1389, 11555, 284, 813, 44, 291, 8446, 280, 8446, 32, 38848, 10788, 7788, 284, 26036, 280, 1769, 26, 1497, 26, 4944, 471, 34, 27, 284, 442, 308, 4944, 30, 8680, 27, 203, 1270, 44, 284, 1359, 974, 2924, 280, 5237, 32, 6118, 77, 35, 79, 284, 1359, 280, 1359, 3922, 32, 46487, 346, 284, 1359, 32, 850, 26, 47545, 2924, 27, 284, 8529, 3839, 5637, 2924, 280, 1359, 710, 9651, 4902, 3969, 81, 46139, 81, 6175, 785, 284, 1688, 21704, 974, 2924, 280, 1359, 710, 9651, 4902, 4944, 81, 2024, 81, 761, 785, 284, 1688, 33402, 2924, 280, 1359, 710, 9651, 4902, 2024, 81, 751, 81, 761, 785, 3701, 707, 9190, 68, 31956, 2924, 280, 1359, 710, 9651, 4902, 44775, 81, 290, 6437, 785, 284, 8184, 3564, 68, 31956, 2924, 280, 1359, 710, 9651, 5695, 371, 463, 10495, 81, 3576, 81, 290, 6437, 370, 24034, 47, 2700, 27, 284, 8056, 299, 3206, 974, 2924, 280, 1359, 710, 9651, 4902, 34826, 81, 1423, 81, 761, 785, 203, 7343, 3268, 619, 484, 44, 284, 1459, 440, 14764, 26312, 1359, 803, 19, 1930, 3654, 844, 3097, 1591, 328, 1412, 844, 1476, 458, 3261, 15981, 284, 1459, 26, 87, 32, 466, 731, 27, 203, 1824, 44, 284, 11522, 280, 46032, 32, 95, 21894, 32, 17900, 4888, 440, 1647, 32, 426, 392, 8056, 299, 3206, 974, 2924, 27, 284, 2267, 34826, 3206, 280, 11522, 32, 944, 81, 1647, 346, 284, 8056, 299, 3206, 5637, 280, 2322, 32, 983, 32, 2998, 26, 34826, 3206, 974, 2924, 5594, 34, 79, 284, 5237, 32, 8228, 280, 2156, 26, 2024, 33402, 2924, 2360, 105, 657, 284, 1459, 2884, 8281, 299, 8529, 2276, 645, 392, 3969, 3839, 5637, 2924, 27, 284, 1283, 15487, 32, 10067, 1721, 3070, 26, 3969, 3839, 5637, 2924, 27, 284, 1459, 2884, 14070, 42487, 657, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 3, 1, 3, 0, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 13, 12, 13, 11, 12, 11, 14, 13, 14, 14, 13, 13, 15, 16, 16, 15, 13, 9, 10, 9, 10, 10, 0, 1, 1, 3, 3, 3, 2, 2, 2, 3, 4, 1, 1, 1, 6, 7, 5, 6, 5, 6, 5, 5, 6, 6, 6, 5, 0, 1, 1, 3, 0, 1, 1, 2, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 5, 5, 5, 2, 2, 4, 4, 2, 2, 3, 5, 5, 4, 4, 3, 3, 4, 4, 3, 3, 3, 6, 6, 7, 7, 4, 4, 6, 6, 13, 13, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 8, 8, 7, 7, 9, 2, 2, 3, 7, 7, 8, 8, 8, 7, 6, 4, 3, 3, 6, 6, 8, 8, 8, 3, 3, 4, 4, 4, 7, 7, 9, 10, 9, 11, 2, 2, 4, 4, 6, 8, 8, 9, 8, 7, 6, 2, 2, 3, 5, 4, 5, 4, 0, 1, 1, 1, 1, 5, 5, 4, 4, 6, 7, 5, 6, 5, 2, 2, 4, 4, 7, 6, 7, 6, 2, 2, 5, 6, 5, 6, 6, 5, 2, 2, 5, 5, 5, 4, 4, 6, 8, 8, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 4, 4, 6, 8, 8, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 8, 8, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 6, 8, 8, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 7, 9, 9, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 8, 8, 7, 7, 7, 7, 7, 7, 1, 2, 2, 3, 3, 2, 2, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 8, 7, 8, 8, 6, 1, 2, 2, 2, 2, 5, 5, 8, 9, 9, 7, 8, 8, 7, 9, 9, 9, 9, 7, 8, 8, 8, 8, 7, 3, 3, 6, 6, 5, 5, 7, 8, 8, 8, 7, 3, 3, 6, 6, 6, 5, 5, 9, 10, 8, 9, 8, 9, 9, 9, 9, 8, 7, 6, 3, 3, 6, 7, 5, 5, 7, 8, 8, 8, 7, 9, 9, 3, 3, 5, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 6, 3, 3, 7, 6, 7, 7, 7, 6, 7, 7, 7, 7, 6, 3, 3, 5, 8, 8, 8, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 0, 3, 3, 0, 0, 4, 4, 1, 2, 2, 0, 5, 5, 0, 0, 0, 1, 2, 2, 2, 2, 5, 5, 0, 0, 6, 6, 0, 0, 0, 1, 2, 2, 2, 2, 6, 6, 0, 0, 0, 0, 7, 7, 0, 0, 0, 1, 2, 2, 2, 2, 7, 7, 0, 0, 8, 8, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 0, 2, 2, 2, 4, 4, 0, 0, 4, 4, 2, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 3, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 4, 4, 4, 0, 0, 0, 2, 1, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 3, 1, 4, 4, 5, 1, 1, 3, 1, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 9, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 1, 2, 2, 1, 9, 4, 4, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2 ]
[ 465, 15798, 203, 465, 4942, 203, 465, 7395, 14510, 203, 465, 31074, 203, 465, 4986, 678, 1356, 32, 6286, 81, 4365, 36, 619, 3642, 203, 465, 4986, 678, 1356, 32, 2516, 81, 4365, 36, 619, 3642, 81, 2516, 203, 1070, 4986, 678, 1356, 32, 1580, 1188, 5640, 984, 203, 1070, 4986, 678, 1356, 1188, 6486, 81, 1237, 225, 203, 823, 2108, 4090, 11972, 566, 106, 26, 2282, 32, 16651, 953, 1006, 711, 284, 665, 894, 81, 17201, 81, 1251, 81, 731, 26, 784, 711, 291, 630, 32, 5522, 81, 8152, 21365, 81, 10358, 266, 81, 10358, 350, 16096, 346, 291, 24904, 35, 280, 3642, 81, 2516, 32, 6725, 32513, 26, 2468, 81, 96, 6020, 34, 614, 261, 6035, 7323, 81, 2888, 47, 1771, 14510, 32, 311, 6949, 13212, 463, 86, 39, 88, 40, 39, 1291, 42, 34, 35, 38, 41, 84, 38, 26739, 41, 34, 84, 41, 39, 87, 38, 35778, 36, 86, 41, 37, 42, 36, 34, 36, 35, 84, 42, 41, 35, 4184, 42, 42, 40, 41, 2312, 42, 1919, 39, 36, 39, 2312, 39, 34, 42, 40, 38, 42, 42, 36, 1425, 6035, 7323, 81, 1055, 47, 34, 30, 6035, 829, 291, 963, 35, 280, 3642, 81, 2516, 32, 6725, 39102, 26, 2468, 81, 96, 6020, 34, 106, 42, 34, 34, 34, 34, 34, 36, 85, 30, 225, 34, 106, 42, 34, 34, 34, 34, 34, 34, 34, 30, 225, 34, 106, 42, 34, 34, 34, 34, 34, 34, 34, 30, 225, 35, 30, 225, 34, 2505, 4985, 5168, 47, 37, 43, 34, 34, 34, 34, 429, 225, 35, 34, 34, 34, 34, 30, 225, 4985, 3261, 81, 681, 47, 1805, 81, 2516, 32, 16546, 1407, 12339, 30, 4985, 2965, 81, 681, 47, 35, 30, 4985, 829, 291, 963, 36, 280, 3642, 81, 2516, 32, 6725, 39102, 26, 2468, 81, 96, 6020, 34, 106, 42, 34, 34, 34, 34, 34, 36, 85, 30, 225, 34, 106, 42, 34, 34, 34, 34, 34, 34, 34, 30, 225, 34, 106, 42, 34, 34, 34, 34, 34, 34, 34, 30, 225, 35, 30, 225, 35, 2505, 4985, 5168, 47, 42, 34, 34, 34, 30, 4985, 3261, 81, 681, 47, 1805, 81, 2516, 32, 16546, 1407, 12339, 30, 4985, 2965, 81, 681, 47, 36, 30, 4985, 829, 291, 1596, 44, 324, 630, 32, 1580, 32, 1333, 81, 1483, 463, 41377, 370, 428, 18833, 35, 30, 2505, 428, 541, 35, 30, 963, 36, 1130, 291, 2940, 5640, 984, 619, 484, 44, 324, 630, 32, 5299, 26, 87, 32, 1132, 77, 34, 614, 3642, 81, 2516, 32, 7961, 81, 8381, 27, 291, 813, 44, 324, 630, 32, 862, 5908, 2700, 30, 313, 5288, 372, 11140, 5535, 8983, 1541, 436, 8872, 6141, 657, 284, 665, 894, 81, 17201, 81, 2468, 70, 81, 731, 26, 784, 711, 291, 630, 32, 5522, 81, 8152, 21365, 81, 10358, 266, 81, 10358, 350, 16096, 346, 291, 24904, 35, 280, 3642, 81, 2516, 32, 6725, 32513, 26, 2468, 81, 96, 6020, 34, 614, 261, 6035, 7323, 81, 2888, 47, 1771, 14510, 32, 311, 6949, 13212, 463, 86, 39, 88, 40, 39 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 4, 4, 3, 4, 4, 4, 4, 2, 2, 0, 1, 1, 4, 4, 3, 4, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 6, 6, 9, 9, 8, 9, 9, 8, 10, 10, 10, 9, 11, 10, 8, 8, 8, 10, 10, 9, 12, 12, 11, 12, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 8, 8, 10, 10, 9, 10, 8, 8, 8, 4, 4, 7, 6, 6, 9, 9, 8, 9, 9, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 11, 8, 8, 8, 8, 10, 10, 9, 11, 11, 11, 10, 11, 11, 11, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 4, 4, 7, 6, 6, 9, 9, 8, 9, 9, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 8, 8, 9, 10, 10, 10, 10, 8, 8, 8, 10, 10, 9, 11, 11, 11, 10, 11, 11, 11, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 4, 4, 5, 5, 5, 10, 11, 9, 10, 10, 10, 9, 11, 11, 9, 11, 11, 10, 10, 9, 11, 11, 10, 10, 11, 10, 5, 5, 6, 8, 7, 7, 6, 6, 6, 10, 11, 10, 13, 12, 13, 11, 12, 11, 10, 12, 12, 11, 12, 12, 12, 10, 5, 5, 6, 6, 6, 10, 11, 11, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 6, 6, 9, 9, 8, 9, 9, 8, 10, 10, 10, 9, 11, 10, 8, 8, 8, 10, 10, 9, 12, 12, 11, 12, 12, 12, 11, 13, 13, 13, 13, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 5, 5, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 8, 8, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 7, 2, 2, 9, 2, 1, 1, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 5, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 7, 2, 2, 9, 2, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 4, 4, 4, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 5, 5, 3, 5, 4, 4, 3, 0, 1, 1, 3, 3, 3, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 4, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1 ]
[ 505, 464, 505, 280, 2884, 69, 37, 6859, 1243, 392, 2607, 313, 69, 37, 6859, 5137, 1243, 392, 2607, 313, 69, 37, 6859, 8237, 1243, 392, 2607, 313, 5474, 81, 2516, 392, 2607, 313, 5474, 81, 751, 81, 1517, 392, 2607, 313, 5474, 81, 4627, 392, 2607, 313, 5474, 81, 6859, 31738, 392, 2607, 829, 203, 1270, 44, 284, 1188, 2361, 225, 203, 7343, 29986, 44, 284, 1596, 44, 291, 1188, 4281, 1260, 619, 2361, 3701, 2940, 44, 291, 1188, 3962, 103, 267, 32, 12023, 32, 6656, 1260, 619, 2361, 225, 203, 1070, 3962, 103, 267, 1188, 319, 203, 1070, 3962, 103, 267, 32, 4219, 1188, 9823, 203, 1070, 4377, 101, 37, 1188, 319, 203, 1070, 309, 37, 12162, 1188, 358, 37, 1103, 2291, 2359, 203, 1099, 2695, 81, 2319, 81, 2478, 58, 1102, 815, 261, 280, 225, 35, 264, 203, 1099, 2695, 81, 2319, 81, 41465, 262, 280, 225, 36, 264, 203, 1099, 2695, 81, 2319, 81, 48583, 34884, 280, 225, 37, 264, 203, 1099, 2695, 81, 2319, 81, 21144, 262, 280, 225, 38, 264, 203, 5474, 81, 2516, 280, 3447, 2478, 58, 1102, 815, 20, 264, 499, 2469, 2695, 81, 2319, 81, 2478, 58, 1102, 815, 30, 3083, 313, 41465, 20, 647, 499, 2469, 2695, 81, 2319, 81, 41465, 30, 3083, 313, 48583, 34884, 20, 225, 499, 2469, 2695, 81, 2319, 81, 48583, 34884, 30, 3083, 313, 21144, 20, 647, 499, 2469, 2695, 81, 2319, 81, 21144, 30, 3083, 320, 203, 1099, 2695, 81, 3602, 81, 2695, 81, 6177, 280, 225, 35, 203, 1099, 2695, 81, 3602, 81, 25620, 261, 280, 225, 36, 203, 1099, 2695, 81, 3602, 81, 10934, 261, 280, 225, 37, 203, 1099, 2695, 81, 3602, 81, 6229, 264, 280, 225, 38, 203, 1099, 2695, 81, 3602, 81, 613, 36191, 261, 280, 225, 39, 203, 1099, 2695, 81, 3602, 81, 54, 567, 8149, 225, 280, 225, 37, 36, 203, 1099, 2695, 81, 3602, 81, 1305, 635, 262, 280, 225, 37, 37, 203, 1099, 2695, 81, 3602, 81, 635, 1752, 718, 261, 280, 225, 37, 38, 203, 1099, 2695, 81, 3602, 81, 46574, 225, 280, 225, 37, 39, 203, 5474, 81, 751, 81, 1517, 280, 3447, 2695, 81, 6177, 20, 499, 2469, 2695, 81, 3602, 81, 2695, 81, 6177, 30, 528, 313, 25620, 20, 261, 499, 2469, 2695, 81, 3602, 81, 25620, 30, 528, 313, 10934, 20, 261, 499, 2469, 2695, 81, 3602, 81, 10934, 30, 528, 313, 6229, 20, 264, 499, 2469, 2695, 81, 3602, 81, 6229, 30, 528, 313, 613, 36191, 20, 261, 499, 2469, 2695, 81, 3602, 81, 613, 36191, 30, 528, 313, 54, 567, 8149, 20, 225, 499, 2469, 2695, 81, 3602, 81, 54, 567, 8149, 30, 528, 313, 1305, 635, 20, 262, 499, 2469, 2695, 81, 3602, 81, 1305, 635, 30, 528, 313, 635, 1752, 718, 20, 261, 499, 2469, 2695, 81, 3602, 81, 635, 1752, 718, 30, 528, 313, 46574, 20, 225, 499, 2469, 2695, 81, 3602, 81, 46574, 30, 528, 320, 203, 823, 358, 37, 6859, 1243, 26, 69, 37, 1243, 711, 284, 4467, 280, 2884, 5474, 81, 5474, 392, 1802 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 1, 1, 3, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 6, 9, 7, 7, 4, 4, 5, 5, 5, 7, 10, 10, 9, 10, 9, 10, 10, 8, 8, 0, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 4, 4, 4, 5, 5, 5, 5, 5, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 3, 3, 3, 0, 0, 0, 0, 2, 0, 4, 4, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 9, 9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 11, 11, 11, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 13, 13, 13, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 15, 15, 15, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 17, 17, 17, 2, 2, 2, 2, 2, 2, 2, 2, 0, 21, 21, 1, 1, 1, 2, 1, 1, 1, 2, 21, 21, 0, 0, 1, 1, 1, 2, 2 ]
[ 465, 12870, 81, 5379, 203, 465, 273, 16826, 107, 203, 465, 2676, 7128, 203, 465, 309, 2542, 587, 203, 465, 25679, 203, 465, 5237, 203, 465, 27374, 203, 465, 1133, 203, 465, 13625, 203, 1070, 7138, 1188, 7138, 203, 1070, 7138, 1188, 30784, 203, 1070, 1359, 1188, 319, 203, 465, 3363, 203, 465, 22045, 36, 203, 589, 438, 1428, 26, 101, 711, 284, 1596, 44, 291, 629, 26, 101, 27, 291, 442, 2933, 284, 2940, 10091, 44, 291, 442, 3177, 203, 589, 3219, 750, 26, 605, 711, 284, 415, 330, 29206, 25, 646, 328, 706, 32, 3494, 2262, 291, 706, 710, 29206, 785, 280, 739, 346, 284, 415, 330, 14499, 34054, 25, 646, 328, 706, 32, 3494, 2262, 291, 706, 710, 14499, 34054, 785, 280, 739, 346, 284, 415, 330, 45196, 25, 646, 328, 706, 32, 3494, 2262, 291, 706, 710, 45196, 785, 280, 739, 346, 284, 415, 330, 14499, 13052, 35753, 25, 646, 328, 706, 32, 3494, 2262, 291, 706, 710, 14499, 13052, 35753, 785, 280, 739, 346, 284, 415, 330, 2135, 32922, 25, 646, 328, 706, 32, 3494, 2262, 291, 706, 710, 2135, 32922, 785, 280, 5436, 346, 284, 415, 330, 10756, 318, 1484, 25, 646, 328, 706, 32, 3494, 2262, 291, 706, 710, 10756, 318, 1484, 785, 280, 5436, 346, 284, 415, 330, 14499, 34054, 1484, 25, 646, 328, 706, 32, 3494, 2262, 291, 706, 710, 14499, 34054, 1484, 785, 280, 5436, 346, 284, 706, 32, 5207, 346, 203, 589, 1976, 26, 1237, 30, 706, 30, 1256, 711, 284, 4125, 32, 1297, 81, 13599, 4798, 26, 496, 32, 314, 27, 284, 706, 710, 10756, 318, 1484, 8150, 496, 32, 314, 79, 280, 7138, 32, 2174, 346, 203, 589, 21307, 26, 2393, 30, 706, 711, 284, 5668, 81, 965, 280, 3796, 32, 371, 81, 15194, 81, 965, 346, 284, 2676, 7128, 32, 1676, 26, 7344, 81, 965, 27, 284, 1596, 44, 291, 48519, 280, 5081, 81, 1131, 463, 24711, 28601, 291, 706, 710, 1357, 81, 1956, 785, 280, 3796, 32, 1357, 81, 1956, 291, 1596, 44, 324, 3796, 32, 371, 81, 3560, 81, 1956, 26, 38170, 27, 324, 706, 710, 3560, 81, 1956, 81, 678, 785, 280, 3796, 32, 3560, 81, 1956, 324, 706, 710, 3560, 81, 1956, 81, 7241, 785, 280, 3796, 32, 3560, 81, 1956, 81, 7241, 324, 706, 32, 5207, 346, 324, 3796, 32, 470, 81, 3560, 81, 1956, 26, 605, 710, 3560, 81, 1956, 81, 678, 2188, 706, 710, 3560, 81, 1956, 81, 7241, 3490, 291, 2940, 273, 16826, 107, 32, 70, 16826, 924, 44, 324, 1459, 330, 924, 19, 12228, 372, 622, 2857, 2404, 4564, 284, 2940, 273, 16826, 107, 32, 70, 16826, 924, 44, 291, 1459, 330, 924, 19, 12228, 372, 622, 1326, 2404, 4564, 203, 589, 6886, 1175, 2262, 284, 1459, 313, 6772, 44, 4262, 392, 5237, 32, 6118, 77, 34, 614, 313, 2501, 428, 2132, 10854, 96, 20, 284, 1459, 313, 9770, 1924, 284, 1459, 313, 264, 1974, 20, 284, 1459, 313, 351, 19293, 1370, 1149, 432, 1976, 483, 461, 14628, 20, 284, 1459, 313, 264, 323, 14338, 6935, 13759, 3267, 32922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 3, 7, 8, 7, 4, 4, 5, 3, 3, 4, 4, 4, 4, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 6, 6, 4, 4, 4, 6, 7, 6, 3, 3, 7, 9, 9, 6, 6, 8, 2, 2, 3, 6, 6, 6, 4, 4, 4, 6, 7, 6, 3, 3, 7, 9, 9, 9, 6, 6, 8, 2, 2, 3, 6, 6, 4, 4, 4, 6, 7, 6, 3, 3, 7, 9, 9, 6, 6, 8, 2, 2, 3, 6, 6, 6, 6, 4, 4, 4, 6, 7, 6, 3, 3, 7, 9, 9, 9, 9, 6, 6, 8, 2, 2, 3, 6, 6, 6, 4, 4, 4, 6, 7, 6, 3, 3, 7, 9, 9, 9, 6, 6, 8, 2, 2, 3, 6, 6, 6, 6, 4, 4, 4, 6, 7, 6, 3, 3, 7, 9, 9, 9, 9, 6, 6, 8, 2, 2, 3, 6, 6, 6, 6, 4, 4, 4, 6, 7, 6, 3, 3, 7, 9, 9, 9, 9, 6, 6, 8, 2, 2, 5, 6, 5, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 6, 6, 6, 6, 5, 7, 6, 7, 5, 2, 2, 6, 8, 8, 8, 8, 7, 6, 7, 5, 4, 4, 6, 7, 6, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 2, 2, 6, 5, 6, 5, 6, 6, 6, 5, 2, 2, 3, 3, 3, 6, 6, 8, 8, 8, 10, 10, 4, 4, 7, 9, 9, 9, 9, 6, 6, 7, 8, 8, 8, 4, 4, 5, 5, 5, 9, 10, 10, 10, 10, 10, 9, 10, 9, 6, 6, 9, 11, 11, 11, 11, 11, 11, 8, 8, 9, 10, 10, 10, 6, 6, 9, 11, 11, 11, 11, 11, 11, 8, 8, 9, 10, 10, 10, 10, 10, 6, 6, 9, 10, 9, 6, 6, 9, 10, 10, 10, 10, 10, 9, 11, 10, 12, 12, 12, 12, 12, 12, 9, 10, 12, 12, 12, 12, 12, 12, 5, 5, 6, 8, 8, 7, 8, 8, 8, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 1, 1, 3, 5, 5, 5, 5, 3, 5, 6, 4, 5, 4, 3, 5, 5, 5, 5, 6, 5, 2, 2, 3, 5, 5, 2, 2, 3, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 9, 9, 0, 10, 10, 10, 10, 0, 11, 11, 11, 11, 0, 12, 12, 0, 13, 13, 0, 0, 14, 14, 1, 2, 1, 2, 14, 14, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 15, 15, 1, 2, 1, 2, 15, 15, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 4, 4, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 4, 4, 3, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 3, 3, 0, 1, 1, 1, 2, 0, 0, 1, 4, 4, 4, 1, 1, 2, 1, 1, 1, 0, 2, 1, 4, 4, 0, 1, 1, 2, 0, 0, 1, 4, 4, 5, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 5, 5, 0, 1, 1, 1, 2, 0, 0, 1, 4, 4, 6, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 6, 6, 0, 1, 1, 1, 2, 0, 0, 1, 4, 4, 0, 2, 1, 0, 16, 16, 2, 1, 2, 2, 2, 2, 2, 16, 16, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 17, 17, 2, 1, 2, 2, 2, 17, 17, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 2, 2, 3, 0, 0, 1, 2, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 0, 0, 1, 2, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 18, 18, 1, 2, 18, 18, 0, 1, 1, 1, 2, 0, 0, 2, 3, 2, 3, 0, 1, 1, 1, 1, 0, 2, 4, 4, 1, 1, 1, 4, 4, 2, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 3089, 749, 98, 32, 3734, 1188, 3639, 81, 21039, 105, 203, 1070, 3089, 749, 98, 1188, 6929, 265, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 1070, 3089, 749, 98, 1188, 8684, 203, 1070, 3089, 749, 98, 1188, 3312, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 203, 1070, 3089, 749, 98, 1188, 3706, 15762, 203, 465, 3089, 749, 98, 203, 1070, 3639, 81, 7524, 1188, 2676, 3773, 81, 3734, 203, 465, 7138, 203, 823, 20461, 81, 3734, 81, 6380, 81, 916, 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, 47, 2521, 711, 291, 415, 1619, 438, 1665, 44, 324, 1619, 280, 2149, 291, 2599, 26, 10969, 81, 3734, 81, 6380, 81, 916, 30, 630, 14585, 1664, 3207, 324, 5564, 30, 12373, 30, 636, 30, 1619, 47, 1819, 27, 291, 630, 32, 1696, 1819, 32, 1877, 1371, 291, 1790, 203, 7524, 81, 3734, 32, 25723, 2825, 463, 3734, 32, 10969, 32, 3734, 32, 6380, 32, 7524, 370, 324, 330, 3524, 32, 10969, 370, 324, 330, 23403, 33, 10969, 81, 3734, 81, 462, 81, 14431, 33, 3734, 33, 10969, 81, 3734, 81, 6380, 32, 12620, 97, 370, 324, 4118, 47, 10969, 81, 3734, 81, 6380, 81, 916, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 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, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 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, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 7, 4, 4, 8, 9, 9, 7, 8, 7, 8, 8, 0, 4, 4, 4, 3, 4, 4, 3, 5, 5, 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, 5, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 5, 5, 0, 0, 1, 2, 2, 5, 5, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 9, 9, 0, 10, 10, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 10, 10, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 0, 0, 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, 1, 7, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 7138, 1188, 2340, 30, 7138, 30, 30784, 203, 465, 2340, 1040, 32, 3922, 203, 465, 14461, 203, 823, 2821, 11330, 26, 1473, 711, 284, 21627, 81, 42, 36, 36, 81, 31331, 81, 9302, 280, 5461, 83, 30, 904, 86, 904, 84, 904, 75, 904, 58, 6069, 63, 6069, 69, 6846, 20, 284, 477, 16099, 284, 665, 4483, 1043, 3952, 705, 25026, 26, 1003, 711, 291, 26457, 1043, 280, 4247, 291, 1596, 44, 324, 26457, 1043, 280, 7138, 32, 16700, 1070, 5561, 26, 1808, 26, 1003, 27, 517, 225, 35, 34, 34, 34, 547, 9328, 1643, 346, 474, 330, 76, 25, 291, 2940, 10091, 44, 324, 3097, 291, 442, 26457, 1043, 284, 477, 16099, 284, 665, 4483, 14859, 705, 1068, 935, 512, 2724, 26, 9328, 1043, 711, 291, 1596, 44, 324, 8793, 280, 2340, 1040, 32, 3922, 32, 2208, 26, 9328, 1043, 27, 324, 442, 14461, 32, 1003, 13945, 26, 2632, 32, 303, 27749, 7288, 1157, 319, 225, 35, 34, 34, 34, 291, 2940, 44, 324, 442, 1665, 284, 477, 16099, 284, 665, 11169, 1547, 23463, 42, 36, 36, 26, 14991, 47779, 711, 291, 442, 308, 6665, 32, 44026, 346, 429, 30784, 26, 14991, 47, 14991, 47779, 3427, 20834, 26, 1547, 11330, 32, 23463, 81, 42, 36, 36, 81, 31331, 81, 9302, 27, 284, 477, 16099, 284, 665, 4483, 1043, 3952, 705, 23463, 42, 36, 36, 26, 1003, 711, 291, 442, 2821, 11330, 32, 5954, 1043, 3952, 26, 1003, 30, 2821, 11330, 32, 23463, 81, 42, 36, 36, 81, 31331, 81, 9302, 27, 284, 477, 16099, 284, 665, 4483, 1043, 3952, 26, 1003, 30, 2179, 711, 291, 596, 1043, 280, 4247, 291, 1596, 44, 324, 596, 1043, 280, 7138, 32, 16700, 1070, 5561, 26, 1808, 26, 1003, 27, 517, 225, 35, 34, 34, 34, 547, 20834, 26, 1643, 27, 291, 2940, 10091, 44, 324, 3097, 291, 442, 596, 1043, 284, 477, 16099, 284, 665, 4483, 14859, 1043, 26, 9328, 1043, 30, 2179, 711, 291, 1596, 44, 324, 8793, 280, 2340, 1040, 32, 3922, 32, 2208, 26, 9328, 1043, 27, 324, 442, 8793, 32, 20834, 26, 1643, 27, 291, 2940, 44, 324, 442, 1665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 7, 7, 5, 5, 6, 6, 6, 10, 9, 9, 14, 15, 15, 15, 14, 17, 17, 18, 17, 15, 15, 16, 16, 16, 16, 14, 13, 13, 12, 10, 10, 12, 12, 6, 6, 7, 7, 7, 7, 5, 5, 6, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 6, 6, 6, 9, 9, 13, 12, 13, 11, 12, 11, 12, 12, 11, 7, 7, 8, 11, 12, 12, 11, 14, 13, 14, 14, 14, 13, 9, 9, 10, 10, 10, 10, 6, 6, 7, 7, 7, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 6, 13, 12, 13, 12, 10, 10, 12, 14, 13, 14, 14, 12, 9, 8, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 8, 9, 9, 9, 8, 9, 8, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 7, 7, 5, 5, 6, 6, 6, 10, 9, 9, 13, 14, 14, 14, 13, 16, 16, 17, 16, 14, 14, 15, 15, 15, 15, 13, 12, 11, 12, 11, 6, 6, 7, 7, 7, 7, 5, 5, 6, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 6, 6, 6, 9, 9, 13, 12, 13, 11, 12, 11, 12, 12, 11, 7, 7, 8, 10, 11, 10, 11, 10, 6, 6, 7, 7, 7, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 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, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 3, 3, 3, 3, 4, 4, 2, 1, 4, 4, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 3, 3, 3, 0, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 5, 5, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 2, 1, 4, 4, 1, 6, 6, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 540, 3499, 42, 36, 36, 203, 465, 316, 203, 465, 1133, 203, 465, 1984, 2208, 203, 1152, 81, 34527, 81, 268, 280, 316, 32, 6993, 26, 100, 10255, 101, 7027, 78, 101, 28, 683, 203, 589, 7841, 81, 36318, 81, 5078, 26, 1986, 30, 537, 5078, 711, 284, 415, 330, 72, 672, 25, 328, 1789, 32, 5078, 44, 291, 21187, 81, 5078, 280, 10639, 81, 34527, 81, 268, 32, 2998, 26, 1986, 32, 5078, 710, 72, 672, 3490, 284, 813, 44, 291, 21187, 81, 5078, 280, 1605, 284, 4905, 81, 5078, 280, 739, 2009, 2111, 32, 5729, 346, 436, 3338, 328, 21187, 81, 5078, 1130, 284, 5388, 81, 5078, 280, 428, 890, 2111, 436, 537, 2111, 328, 537, 5078, 3775, 415, 537, 2111, 32, 5729, 346, 646, 328, 4905, 81, 5078, 79, 284, 1789, 32, 5078, 710, 72, 672, 785, 280, 5769, 5608, 2524, 26, 36318, 81, 5078, 474, 5388, 81, 5078, 27, 203, 589, 2432, 81, 6946, 26, 965, 35, 30, 1984, 36, 711, 284, 298, 35, 30, 298, 36, 280, 1984, 2208, 32, 965, 2208, 26, 965, 35, 471, 1984, 2208, 32, 965, 2208, 26, 965, 36, 27, 284, 442, 308, 98, 35, 32, 13627, 30, 298, 35, 32, 12256, 30, 298, 35, 32, 625, 27, 610, 308, 98, 36, 32, 13627, 30, 298, 36, 32, 12256, 30, 298, 36, 32, 625, 27, 203, 1070, 619, 1127, 1188, 5170, 203, 1070, 14556, 1188, 8082, 81, 1003, 81, 6055, 30, 622, 81, 3855, 81, 800, 203, 36976, 81, 2576, 81, 18807, 527, 280, 313, 8804, 265, 11056, 3803, 429, 1289, 17290, 265, 3107, 203, 36976, 81, 13727, 81, 18807, 527, 280, 313, 8804, 265, 11056, 3803, 429, 904, 101, 1957, 646, 2530, 904, 101, 3107, 203, 36976, 81, 2576, 81, 43144, 81, 31784, 280, 313, 43144, 11078, 646, 739, 3107, 203, 36976, 81, 13727, 81, 9052, 280, 313, 43144, 2404, 5816, 556, 12479, 3107, 203, 9052, 81, 9568, 280, 225, 37, 36, 203, 14247, 280, 225, 40, 34, 319, 225, 40, 34, 319, 225, 36, 38, 319, 225, 41, 319, 225, 39, 36, 203, 589, 617, 371, 81, 890, 81, 14250, 81, 678, 2262, 284, 442, 622, 81, 3855, 81, 800, 26, 9052, 81, 9568, 27, 203, 589, 617, 27974, 81, 1956, 26, 1956, 711, 284, 415, 2069, 26, 1956, 27, 848, 26012, 81, 9568, 44, 291, 442, 617, 371, 81, 890, 81, 14250, 81, 678, 346, 284, 2404, 280, 316, 32, 1113, 463, 12456, 83, 31, 15188, 31, 76, 34, 31, 43, 6155, 370, 2550, 596, 26, 1956, 32, 5460, 463, 14510, 370, 330, 3617, 21180, 284, 415, 2404, 610, 34863, 291, 442, 617, 371, 81, 890, 81, 14250, 81, 678, 346, 284, 442, 2404, 203, 589, 617, 297, 81, 11850, 26, 1357, 711, 284, 1188, 5554, 3961, 284, 442, 5554, 3961, 32, 21935, 81, 13627, 610, 330, 641, 25, 203, 589, 617, 371, 81, 2035, 26, 1357, 711, 284, 442, 1326, 32, 5078, 32, 371, 463, 74, 31, 40443, 31, 3663, 370, 1326, 32, 5078, 710, 3663, 3490, 203, 589, 39179, 26, 1357, 711, 284, 1596, 44, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 6, 6, 6, 4, 4, 5, 6, 3, 3, 3, 7, 7, 6, 6, 9, 9, 9, 9, 8, 9, 8, 11, 10, 11, 9, 11, 11, 11, 3, 3, 4, 4, 4, 8, 8, 7, 7, 2, 2, 5, 5, 4, 4, 6, 10, 9, 10, 9, 7, 8, 8, 8, 9, 9, 7, 2, 2, 5, 5, 4, 4, 6, 6, 5, 6, 7, 6, 6, 7, 5, 5, 6, 10, 9, 10, 9, 7, 7, 7, 8, 8, 5, 2, 2, 6, 7, 5, 7, 7, 7, 4, 4, 8, 7, 6, 8, 8, 8, 7, 7, 8, 8, 6, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 6, 5, 5, 6, 4, 4, 8, 7, 8, 8, 7, 8, 8, 7, 5, 8, 7, 8, 8, 7, 8, 8, 7, 2, 2, 3, 7, 7, 6, 7, 5, 5, 7, 6, 7, 5, 5, 7, 6, 7, 5, 4, 4, 7, 7, 6, 7, 5, 5, 7, 6, 7, 5, 5, 7, 6, 7, 5, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 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, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 2, 2, 7, 7, 6, 6, 7, 7, 5, 5, 6, 6, 4, 4, 5, 3, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 5, 5, 5, 5, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 6, 4, 4, 5, 5, 3, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 11, 10, 11, 10, 12, 12, 10, 12, 12, 2, 2, 3, 4, 4, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 2, 2, 3, 6, 5, 6, 6, 6, 4, 4, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 7, 5, 7, 8, 6, 8, 8, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 5, 5, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 3, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 3, 2, 2, 3, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 6, 6, 1, 1, 2, 1, 1, 2, 2, 3, 2, 6, 6, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 1, 0, 0, 1, 2, 0, 0, 0, 3, 2, 0, 0, 0, 5, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 3, 2, 2, 2, 0, 5, 2, 2, 0, 7, 7, 0, 7, 7, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 15, 15, 1, 1, 1, 1, 1, 1, 1, 2, 15, 15, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 16, 16, 1, 1, 1, 2, 1, 2, 16, 16, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 3, 0, 17, 17, 1, 1, 1, 2, 1, 2, 17, 17, 0, 0, 4, 4, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 18, 18, 1, 1, 1, 2, 1, 2, 18, 18, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 3, 1, 2, 0, 19, 19, 2, 1, 2, 19, 19, 0, 0 ]
[ 9592, 203, 4494, 3211, 2179, 9750, 203, 9592, 203, 823, 7778, 3211, 44, 284, 330, 5954, 5081, 1344, 372, 16316, 8345, 25, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 11731, 81, 1274, 280, 3447, 1736, 563, 313, 11468, 392, 225, 20062, 563, 2706, 26650, 225, 6035, 11570, 563, 2706, 37208, 262, 7286, 563, 2706, 31084, 6035, 10698, 563, 2706, 31552, 262, 21595, 563, 2706, 6553, 225, 6035, 7185, 563, 22389, 392, 262, 13701, 563, 2706, 9166, 6035, 313, 17919, 2706, 10788, 262, 7788, 563, 2706, 5715, 6035, 5100, 563, 2706, 21, 392, 262, 6757, 563, 2706, 32672, 6035, 4825, 563, 2706, 23681, 262, 4939, 563, 2706, 4414, 6035, 29425, 563, 2706, 17331, 6035, 320, 284, 665, 1156, 11731, 26, 784, 30, 706, 711, 291, 442, 34873, 2524, 26, 784, 32, 11731, 81, 1274, 32, 371, 26, 85, 30, 85, 27, 436, 281, 328, 706, 27, 284, 665, 1156, 5954, 81, 4446, 26, 784, 30, 1344, 26409, 5202, 26409, 12809, 26409, 337, 668, 47, 2700, 711, 291, 415, 827, 26, 878, 27, 438, 596, 44, 324, 415, 337, 668, 44, 400, 442, 330, 35, 32, 261, 330, 474, 630, 3667, 11731, 26, 878, 27, 324, 813, 44, 400, 442, 5202, 474, 630, 3667, 11731, 26, 878, 27, 474, 12809, 291, 4348, 827, 26, 878, 27, 438, 1149, 44, 324, 436, 5417, 30, 273, 328, 10703, 26, 878, 711, 400, 415, 337, 668, 44, 528, 25116, 280, 596, 26, 2875, 29, 35, 27, 474, 5608, 261, 330, 474, 630, 3667, 11731, 26, 102, 27, 400, 813, 44, 528, 25116, 280, 5202, 474, 630, 3667, 11731, 26, 102, 27, 474, 12809, 400, 1344, 77, 2875, 79, 280, 25116, 324, 442, 1344, 291, 442, 4247, 284, 665, 1344, 26, 784, 30, 1344, 711, 291, 442, 630, 3667, 5954, 81, 4446, 26, 878, 27, 284, 665, 1048, 26, 784, 30, 1344, 711, 291, 442, 630, 3667, 5954, 81, 4446, 26, 878, 27, 40196, 665, 1780, 26, 784, 30, 1344, 711, 291, 442, 630, 3667, 5954, 81, 4446, 26, 878, 30, 330, 433, 683, 284, 665, 27775, 26, 784, 30, 1344, 711, 291, 442, 630, 3667, 5954, 81, 4446, 26, 878, 30, 330, 1482, 683, 284, 665, 309, 15367, 26, 784, 30, 1344, 711, 291, 442, 630, 3667, 5954, 81, 4446, 26, 878, 30, 330, 765, 683, 284, 665, 13764, 26, 784, 30, 1344, 711, 291, 442, 630, 3667, 5954, 81, 4446, 26, 878, 30, 330, 326, 370, 330, 326, 683, 284, 665, 1628, 81, 2969, 265, 26, 784, 30, 2385, 47, 35, 711, 291, 415, 2385, 848, 225, 35, 44, 324, 2152, 280, 1605, 324, 436, 595, 328, 2155, 26, 34, 30, 998, 711, 400, 2152, 32, 1689, 440, 6490, 657, 324, 442, 2152, 291, 442, 313, 6490, 20, 284, 665, 4121, 26, 784, 30, 1344, 711, 291, 442, 630, 3667, 5954, 81, 4446, 26, 878, 30, 330, 22639, 284, 665, 17128, 81, 668, 26, 784, 30, 706, 711, 291, 442, 630, 3667, 5954, 81, 4446, 26, 605, 30, 337, 668, 47, 1815, 27, 284, 665, 39138, 81, 668, 26, 784, 30, 706, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 11, 10, 8, 11, 10, 7, 7, 10, 8, 10, 7, 7, 7, 10, 8, 10, 7, 7, 10, 8, 10, 7, 7, 10, 8, 10, 7, 7, 10, 8, 10, 7, 7, 7, 10, 8, 10, 7, 7, 10, 8, 10, 7, 7, 10, 8, 10, 7, 7, 10, 8, 10, 7, 7, 10, 8, 10, 10, 7, 7, 10, 8, 10, 7, 7, 10, 8, 10, 7, 7, 10, 8, 10, 7, 7, 10, 8, 10, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 7, 11, 10, 11, 11, 11, 9, 10, 9, 10, 9, 10, 9, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 6, 5, 6, 4, 3, 3, 5, 8, 9, 8, 6, 6, 5, 5, 5, 7, 8, 7, 7, 7, 9, 12, 12, 12, 12, 10, 10, 12, 13, 12, 13, 12, 7, 7, 8, 8, 8, 10, 12, 12, 14, 15, 14, 15, 14, 11, 11, 5, 5, 6, 9, 10, 9, 7, 7, 6, 6, 6, 8, 9, 9, 8, 8, 10, 11, 10, 8, 8, 10, 11, 10, 10, 10, 13, 13, 17, 19, 18, 19, 17, 15, 15, 17, 17, 14, 14, 16, 17, 16, 17, 16, 10, 10, 11, 11, 11, 14, 14, 16, 16, 18, 19, 18, 19, 18, 15, 15, 9, 9, 12, 13, 12, 11, 11, 7, 7, 8, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 7, 5, 5, 5, 8, 8, 6, 6, 7, 7, 7, 9, 10, 9, 10, 9, 7, 7, 11, 12, 11, 13, 13, 6, 6, 7, 4, 4, 5, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4 ]
[ 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 5, 1, 2, 2, 2, 7, 1, 2, 2, 2, 9, 1, 2, 2, 2, 11, 1, 2, 2, 2, 2, 13, 2, 2, 2, 2, 15, 1, 2, 2, 1, 17, 1, 2, 2, 2, 19, 1, 2, 2, 2, 21, 1, 2, 2, 2, 2, 23, 1, 2, 2, 2, 25, 1, 2, 2, 2, 27, 1, 2, 2, 2, 29, 1, 2, 2, 3, 3, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 3, 1, 1, 2, 2, 2, 1, 3, 3, 3, 1, 1, 1, 2, 1, 2, 2, 3, 2, 5, 2, 7, 2, 0, 9, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 4, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 5, 5, 0, 2, 0, 0, 0, 3, 3, 1, 4, 4, 1, 3, 3, 4, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 5, 2, 1, 2, 2, 2, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 6, 2, 1, 2, 2, 2, 6, 6, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 7, 2, 1, 2, 2, 2, 7, 7, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 8, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 9, 2, 1, 2, 2, 2, 9, 9, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 10, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 10, 10, 0, 1, 1, 2, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 2, 1, 1, 2, 3, 3, 2, 4, 4, 1, 1, 2, 3, 3, 11, 2, 1, 2, 2, 2, 11, 11, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 12, 1, 1, 2, 1, 2, 2, 2, 12, 12, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 1, 3, 3, 13, 1, 1, 2, 1, 2, 2, 2 ]
[ 1070, 5296, 32, 90, 512, 17085, 1188, 677, 512, 17085, 203, 823, 4389, 7428, 274, 88, 519, 13041, 37530, 2084, 55, 3774, 55, 7942, 55, 3774, 55, 7942, 26, 58, 512, 17085, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 297, 81, 19243, 280, 2933, 291, 2599, 26, 1331, 7428, 274, 88, 519, 13041, 37530, 2084, 55, 3774, 55, 7942, 55, 3774, 55, 7942, 30, 630, 14585, 1664, 3207, 426, 1057, 1331, 7428, 274, 88, 519, 13041, 37530, 2084, 55, 3774, 55, 7942, 55, 3774, 55, 7942, 370, 1929, 81, 5459, 47, 36, 41, 30, 12041, 6020, 1130, 291, 630, 32, 669, 81, 11672, 21145, 34, 30, 225, 40, 614, 428, 40, 30, 225, 39, 614, 428, 34, 30, 225, 42, 614, 428, 42, 30, 225, 41, 614, 428, 35, 30, 225, 35, 34, 614, 428, 35, 34, 30, 225, 43, 614, 428, 35, 30, 225, 35, 36, 614, 428, 35, 36, 30, 225, 35, 35, 614, 428, 39, 30, 225, 37, 614, 428, 37, 30, 225, 41, 614, 428, 43, 30, 225, 38, 614, 428, 38, 30, 225, 35, 35, 614, 428, 43, 30, 225, 35, 37, 614, 428, 35, 37, 30, 225, 39, 614, 428, 35, 35, 30, 225, 35, 38, 614, 428, 35, 38, 30, 225, 41, 614, 428, 43, 30, 225, 35, 39, 614, 428, 35, 39, 30, 225, 35, 40, 614, 428, 35, 41, 30, 225, 35, 42, 614, 428, 35, 42, 30, 225, 35, 40, 614, 428, 35, 41, 30, 225, 35, 43, 614, 428, 35, 43, 30, 225, 36, 34, 614, 428, 35, 35, 30, 225, 36, 35, 614, 428, 36, 35, 30, 225, 36, 36, 614, 428, 36, 37, 30, 225, 36, 38, 614, 428, 36, 38, 30, 225, 36, 36, 614, 428, 36, 37, 30, 225, 36, 39, 614, 428, 36, 39, 30, 225, 36, 40, 614, 428, 34, 30, 225, 36, 614, 428, 36, 30, 225, 35, 13138, 291, 630, 1365, 2840, 505, 1446, 280, 2107, 58, 512, 17085, 2826, 785, 291, 630, 1365, 426, 1446, 280, 1524, 87, 7428, 274, 88, 519, 13041, 37530, 2084, 55, 3774, 55, 7942, 55, 3774, 55, 7942, 2993, 291, 630, 1365, 11989, 505, 1446, 280, 225, 39, 42, 35, 40, 37, 43, 39, 43, 43, 40, 35, 43, 36, 39, 42, 37, 41, 35, 41, 291, 630, 32, 4849, 77, 34, 11159, 2840, 505, 1446, 280, 1524, 3665, 1243, 2993, 291, 630, 32, 4849, 77, 34, 11159, 11989, 505, 1446, 280, 225, 42, 34, 38, 38, 43, 41, 34, 37, 39, 43, 37, 35, 38, 36, 34, 35, 37, 41, 42, 291, 630, 32, 4849, 77, 35, 11159, 2840, 505, 1446, 280, 1524, 9903, 1243, 2993, 291, 630, 32, 4849, 77, 35, 11159, 11989, 505, 1446, 280, 225, 35, 34, 38, 42, 37, 43, 40, 36, 39, 38, 43, 40, 43, 34, 39, 38, 41, 34, 34, 291, 630, 32, 4849, 77, 36, 11159, 2840, 505, 1446, 280, 1524, 41376, 81, 1793, 2993, 291, 630, 32, 4849, 77, 36, 11159, 11989, 505, 1446, 280, 225, 38, 39, 39, 42, 38, 43, 38 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 9, 9, 8, 9, 9, 7, 7, 8, 9, 4, 4, 7, 8, 8, 8, 7, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 10, 9, 8, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 10, 9, 9, 10, 10, 9, 8, 10, 9, 9, 10, 9, 8, 10, 9, 9, 10, 9, 4, 4, 7, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 4, 4, 7, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 9, 9, 9, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 9, 10, 8, 9, 8, 9, 9, 9, 6, 6, 8, 8, 8, 4, 4, 9, 10, 8, 9, 8, 9, 9, 9, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 9, 10, 8, 9, 8, 9, 9, 9, 6, 6, 8, 8, 8, 4, 4, 9, 10, 8, 9, 8, 9, 9, 9, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 9, 10, 8, 9, 8, 9, 9, 9, 6, 6, 8, 8, 8, 8, 4, 4, 9, 10, 8, 9, 8, 9, 9, 9, 6, 6, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 1, 1, 5, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 3, 5, 1, 1, 7, 7, 3, 7, 1, 1, 9, 9, 3, 3, 9, 1, 1, 1, 11, 11, 3, 11, 1, 1, 13, 13, 3, 3, 13, 1, 1, 1, 15, 15, 3, 3, 15, 1, 1, 17, 17, 3, 17, 1, 1, 19, 19, 3, 19, 1, 1, 21, 21, 3, 21, 1, 1, 23, 23, 3, 3, 23, 1, 1, 25, 25, 3, 3, 25, 1, 1, 1, 27, 27, 3, 27, 1, 1, 1, 29, 29, 3, 3, 29, 1, 1, 1, 31, 31, 3, 31, 1, 1, 33, 33, 3, 3, 33, 1, 1, 1, 35, 35, 3, 3, 35, 1, 1, 1, 37, 37, 3, 3, 37, 1, 1, 1, 39, 39, 3, 3, 39, 1, 1, 1, 41, 41, 3, 3, 41, 1, 1, 1, 43, 43, 3, 3, 43, 1, 1, 1, 45, 45, 3, 3, 45, 1, 1, 1, 47, 47, 3, 3, 47, 1, 1, 1, 49, 49, 3, 3, 49, 1, 1, 1, 51, 51, 3, 3, 51, 1, 1, 1, 53, 53, 3, 3, 53, 1, 1, 1, 55, 55, 3, 3, 55, 1, 1, 57, 57, 3, 57, 1, 1, 59, 59, 3, 59, 4, 4, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2 ]
[ 465, 6867, 631, 32, 3399, 631, 619, 3619, 958, 203, 465, 6867, 631, 32, 2255, 81, 25057, 619, 1983, 203, 465, 12643, 619, 6121, 203, 4601, 3539, 280, 540, 18010, 2833, 33, 108, 17089, 693, 33, 105, 37, 33, 84, 2425, 33, 84, 2425, 81, 36, 34, 35, 40, 31, 35, 32, 4700, 25, 203, 1479, 280, 6121, 32, 850, 81, 4700, 26, 4601, 3539, 30, 3185, 81, 4419, 47, 1815, 30, 18935, 12483, 370, 3338, 47, 34, 30, 1650, 81, 748, 1057, 4601, 683, 203, 106, 280, 5018, 32, 54, 2478, 203, 107, 280, 5018, 32, 72, 2478, 203, 5707, 35, 280, 1983, 32, 5572, 26, 334, 540, 280, 533, 30, 334, 273, 280, 816, 30, 284, 636, 1057, 72, 32646, 345, 33, 101, 370, 284, 10029, 47, 2665, 26, 291, 1963, 1057, 8270, 26, 35, 39, 42, 30, 35, 39, 38, 30, 36, 34, 34, 9905, 284, 829, 203, 27, 203, 3086, 280, 1983, 32, 2344, 26, 284, 1780, 1057, 4496, 18388, 27634, 5282, 18445, 881, 9858, 745, 676, 32646, 1289, 21146, 83, 10680, 513, 94, 370, 284, 2357, 280, 5436, 26, 891, 47, 35, 40, 471, 284, 46748, 5082, 47, 2665, 26, 291, 23587, 6148, 1057, 95, 33, 101, 25, 284, 2588, 284, 14103, 47, 36, 41, 34, 203, 27, 203, 605, 280, 428, 5707, 35, 79, 203, 582, 280, 1983, 32, 20291, 26, 605, 47, 605, 30, 6371, 47, 3086, 27, 203, 21, 533, 32, 3399, 26, 334, 6531, 30, 334, 4870, 1057, 90, 693, 33, 8497, 81, 105, 48217, 370, 647, 588, 225, 21724, 1057, 923, 25, 203, 27, 9316, 588, 225, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 2, 2, 0, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 2, 2, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 5, 5, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 5, 7, 4, 5, 6, 4, 4, 6, 6, 5, 7, 7, 0, 3, 2, 2, 3, 4, 4, 0, 3, 2, 2, 3, 4, 4, 0, 3, 3, 2, 2, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 0, 3, 2, 2, 4, 5, 4, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 6, 5, 7, 7, 9, 9, 8, 9, 7, 4, 6, 6, 6, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 4, 6, 6, 5, 6, 6, 6, 4, 4, 3, 2, 2, 4, 4, 4, 3, 3, 2, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 4, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 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, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 7, 2, 1, 1, 0, 0, 9, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 7, 0, 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, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8529, 761, 203, 465, 29590, 203, 465, 22977, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 465, 42406, 203, 465, 1695, 40, 38, 203, 465, 2361, 203, 465, 5741, 203, 465, 16539, 203, 465, 316, 203, 465, 36387, 1262, 203, 465, 8253, 32, 426, 81, 9430, 619, 636, 81, 9430, 203, 465, 8253, 32, 2195, 366, 7550, 619, 7361, 366, 7550, 203, 1070, 8253, 32, 2247, 1188, 4187, 203, 823, 21015, 26, 2247, 711, 334, 8967, 81, 2132, 280, 301, 284, 330, 426, 950, 330, 1126, 636, 370, 284, 330, 687, 950, 313, 983, 372, 322, 4844, 623, 667, 1182, 1914, 1340, 392, 284, 330, 4298, 950, 330, 426, 432, 312, 4203, 436, 322, 6063, 432, 322, 667, 370, 284, 330, 4689, 950, 313, 426, 461, 312, 1503, 432, 21660, 436, 322, 6063, 595, 32, 87, 21190, 330, 10414, 38, 32, 37, 13042, 284, 330, 4531, 950, 330, 30820, 372, 322, 667, 1340, 370, 284, 330, 2310, 950, 330, 4021, 3048, 432, 322, 667, 370, 284, 330, 5457, 950, 330, 1449, 2977, 1133, 436, 322, 6063, 432, 322, 667, 370, 284, 330, 5566, 81, 891, 950, 330, 5545, 432, 4117, 5215, 436, 322, 6063, 432, 322, 667, 370, 284, 330, 7211, 950, 313, 59, 3464, 646, 3654, 30, 7624, 5182, 2933, 2082, 31, 5715, 284, 330, 11696, 518, 950, 313, 4555, 415, 322, 1914, 2298, 526, 12785, 810, 28835, 308, 1536, 2933, 5715, 284, 330, 11696, 518, 81, 5961, 950, 313, 668, 432, 7896, 372, 526, 20434, 810, 28835, 20, 334, 320, 334, 2129, 81, 2132, 280, 2726, 426, 370, 330, 687, 370, 330, 4298, 370, 330, 4689, 370, 330, 4531, 683, 334, 2129, 81, 15752, 280, 2726, 496, 370, 330, 6586, 683, 334, 2899, 81, 426, 280, 330, 5962, 25, 334, 665, 1156, 466, 3207, 784, 711, 284, 415, 630, 32, 426, 44, 397, 442, 630, 32, 426, 284, 813, 44, 397, 442, 330, 1922, 312, 9254, 667, 904, 101, 25, 904, 308, 784, 32, 2132, 710, 2310, 785, 415, 330, 2310, 25, 328, 630, 32, 2132, 813, 630, 32, 2132, 710, 426, 3490, 334, 665, 622, 81, 2536, 26, 784, 30, 1519, 30, 1875, 81, 2050, 711, 284, 963, 280, 1605, 284, 436, 3051, 30, 29141, 30, 2276, 328, 2322, 32, 11905, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 1875, 81, 2050, 8531, 397, 1875, 81, 2388, 280, 3051, 77, 1657, 26, 983, 711, 997, 94, 7201, 24667, 397, 436, 4870, 328, 2276, 44, 291, 963, 32, 1689, 1162, 500, 32, 983, 32, 2524, 26, 2388, 30, 4870, 471, 2322, 32, 983, 32, 2524, 26, 2808, 81, 2388, 30, 4870, 2610, 284, 442, 8594, 26, 541, 27, 334, 665, 1487, 81, 3969, 26, 784, 30, 2276, 711, 284, 8529, 81, 426, 280, 29590, 32, 4765, 270, 957, 26, 12420, 1057, 32, 3969, 370, 5202, 1057, 5962, 81, 11968, 35, 79, 284, 623, 8529, 761, 32, 13567, 974, 26, 3969, 81, 426, 30, 330, 105, 683, 619, 1672, 3969, 44, 397, 436, 803, 589, 328, 2276, 44, 291, 2322, 32, 303, 512, 26, 761, 589, 77, 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, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 5, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 5, 5, 4, 4, 7, 7, 5, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 7, 8, 9, 5, 5, 6, 6, 6, 8, 11, 11, 11, 11, 11, 11, 11, 9, 9, 14, 13, 14, 12, 14, 14, 11, 11, 14, 14, 12, 12, 13, 14, 11, 11, 13, 14, 12, 14, 14, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 6, 6, 5, 5, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 9, 9, 10, 10, 9, 5, 5, 9, 9, 8, 8, 11, 14, 14, 15, 14, 11, 11, 11, 10, 6, 6, 7, 7, 7, 7, 7, 7, 11, 12, 11, 16, 15, 16, 14, 15, 14, 15, 14, 14, 14, 12, 15, 16, 14, 15, 14, 15, 15, 15, 14, 14, 14, 4, 4, 5, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 9, 10, 10, 10, 9, 11, 10, 12, 12, 12, 9, 10, 12, 12, 12, 8, 7, 4, 4, 5, 11, 10, 11, 11, 10, 11, 11, 11, 10, 10, 12, 12, 8, 8, 10, 5, 5, 5, 7, 8, 7, 7, 7, 7, 7, 11, 12, 12, 11, 13, 13, 12, 13 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 0, 5, 5, 0, 6, 6, 0, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 0, 12, 12, 0, 2, 2, 2, 1, 1, 2, 2, 0, 13, 13, 0, 2, 2, 2, 1, 1, 2, 2, 0, 14, 14, 1, 2, 14, 14, 0, 15, 15, 2, 1, 2, 15, 15, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 11, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 21, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 4, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 5, 5, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 3, 1, 1, 2, 2, 2, 4, 4, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2 ]
[ 465, 2322, 203, 465, 5237, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 21379, 463, 497, 2847, 203, 1070, 23438, 10526, 106, 1188, 1503, 203, 2250, 280, 330, 33582, 10526, 74, 25, 203, 11794, 280, 330, 36, 34, 35, 40, 31, 36, 34, 36, 34, 30, 8026, 335, 551, 10248, 25, 203, 2116, 280, 330, 6515, 335, 551, 10248, 25, 203, 3779, 280, 1503, 203, 1648, 280, 1503, 32, 2998, 346, 6448, 35, 79, 203, 9081, 280, 428, 203, 79, 203, 8881, 81, 983, 280, 2107, 81, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 4189, 280, 1665, 203, 10444, 81, 15719, 280, 2107, 81, 1832, 370, 330, 13584, 101, 32, 1199, 370, 5608, 4135, 81, 2780, 785, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 916, 81, 4661, 280, 330, 279, 360, 1694, 25, 203, 916, 81, 4661, 81, 2184, 280, 301, 284, 330, 2310, 950, 330, 6108, 3292, 45132, 10526, 4226, 328, 4865, 370, 284, 330, 933, 81, 496, 950, 330, 7643, 103, 417, 1190, 278, 370, 284, 330, 933, 81, 6426, 950, 330, 31666, 10526, 106, 370, 284, 330, 933, 81, 1640, 950, 2933, 30, 284, 330, 933, 81, 681, 950, 330, 6443, 370, 284, 330, 933, 81, 12006, 950, 2933, 30, 203, 111, 203, 916, 81, 8937, 101, 280, 301, 284, 330, 326, 950, 428, 291, 330, 7468, 32, 916, 370, 330, 9131, 32, 916, 370, 330, 1903, 1501, 32, 916, 370, 284, 1481, 203, 111, 203, 916, 4756, 81, 15705, 280, 330, 33582, 10526, 74, 1427, 25, 203, 24189, 81, 7594, 280, 301, 203, 111, 203, 24189, 81, 17274, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 33582, 10526, 74, 32, 8581, 370, 330, 33582, 10526, 74, 12217, 370, 275, 330, 6515, 335, 551, 10248, 370, 330, 12505, 1425, 203, 79, 203, 1588, 81, 5646, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 31666, 10526, 106, 370, 330, 33582, 10526, 74, 12217, 370, 275, 428, 2116, 614, 225, 35, 27, 203, 79, 203, 8581, 1338, 81, 17274, 280, 428, 284, 308, 2590, 81, 1427, 30, 330, 33582, 10526, 74, 370, 330, 33582, 10526, 74, 12217, 370, 275, 4081, 30, 330, 33582, 10526, 74, 370, 330, 3582, 1628, 3048, 432, 2074, 6418, 275, 330, 6417, 36786, 1425, 203, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 7, 7, 0, 1, 1, 3, 3, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 2, 2, 0, 3, 2, 2, 5, 6, 5, 3, 5, 3, 0, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 4, 4, 6, 5, 4, 5, 4, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 2, 2, 2, 1, 1, 1, 2, 9, 1, 2, 2, 2, 1, 1, 1, 2, 11, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 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, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 7, 1, 9, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 465, 4842, 1691, 32, 8268, 81, 3235, 81, 1826, 1538, 619, 561, 4911, 203, 68, 280, 225, 34, 203, 52, 280, 225, 35, 203, 6103, 81, 5834, 280, 301, 559, 44, 313, 4023, 392, 551, 44, 313, 8990, 20, 320, 203, 823, 2108, 42834, 26, 283, 4911, 32, 42834, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 12260, 711, 291, 2599, 17094, 1664, 3207, 426, 30, 12260, 27, 291, 630, 32, 1293, 280, 559, 291, 630, 32, 566, 411, 280, 14558, 81, 5834, 77, 68, 79, 291, 630, 32, 1978, 81, 1293, 280, 1665, 284, 665, 2364, 536, 26, 784, 711, 291, 415, 630, 32, 1978, 81, 1293, 438, 646, 1665, 461, 630, 32, 1978, 81, 1293, 863, 630, 32, 1293, 44, 324, 630, 32, 470, 81, 1293, 26, 784, 32, 1978, 81, 1293, 27, 324, 630, 32, 1978, 81, 1293, 280, 1665, 291, 442, 630, 32, 966, 284, 665, 739, 81, 1293, 26, 784, 30, 537, 81, 1293, 711, 291, 3610, 81, 681, 280, 630, 32, 566, 411, 291, 630, 32, 1293, 280, 537, 81, 1293, 291, 630, 32, 566, 411, 280, 14558, 81, 5834, 77, 890, 81, 1293, 79, 291, 630, 32, 2121, 32, 2342, 81, 4867, 81, 681, 26, 784, 30, 3610, 81, 681, 30, 630, 32, 566, 411, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 3, 4, 4, 4, 4, 4, 4, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 4, 4, 6, 6, 3, 4, 4, 6, 6, 3, 0, 1, 1, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 7, 7, 7, 6, 6, 8, 9, 9, 9, 7, 7, 8, 9, 5, 5, 5, 9, 10, 10, 10, 9, 11, 10, 11, 11, 11, 9, 6, 6, 9, 10, 10, 10, 8, 8, 4, 4, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 7, 8, 8, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 8, 8, 7, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 8, 7, 7, 8, 9, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 3, 3, 1, 2, 2, 0, 4, 4, 1, 2, 0, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 46624, 32, 4280, 1188, 1201, 81, 16708, 203, 1070, 28835, 32, 6286, 1188, 25238, 203, 1070, 2603, 36, 843, 32, 5954, 1188, 892, 1261, 203, 1070, 638, 8774, 1188, 9919, 1006, 203, 823, 2108, 3573, 26, 5747, 1006, 711, 284, 665, 894, 81, 1664, 81, 1793, 81, 3780, 1536, 81, 8352, 26, 784, 711, 291, 298, 280, 630, 32, 5522, 81, 2250, 346, 291, 298, 32, 1821, 81, 2593, 26, 605, 12516, 101, 35, 950, 330, 3986, 18143, 291, 298, 32, 1821, 81, 2593, 26, 605, 12516, 101, 35, 950, 330, 1632, 370, 330, 286, 81, 2585, 950, 330, 1347, 81, 1536, 8885, 7275, 1057, 286, 683, 291, 1201, 330, 286, 81, 2585, 25, 328, 298, 32, 5784, 463, 1664, 370, 5053, 31, 104, 950, 4247, 1748, 203, 823, 2108, 6166, 26, 5747, 1006, 711, 284, 665, 894, 81, 1358, 81, 1793, 81, 2951, 81, 2590, 81, 2593, 26, 784, 711, 291, 298, 280, 630, 32, 5522, 81, 2250, 26, 2593, 81, 28825, 11414, 286, 3490, 291, 298, 32, 1821, 81, 2593, 26, 605, 347, 1010, 46, 5379, 855, 5379, 48, 37616, 7275, 1057, 286, 683, 291, 298, 32, 1821, 81, 843, 26, 12783, 463, 286, 2847, 291, 1201, 646, 13198, 7815, 18262, 328, 298, 32, 5784, 463, 1358, 683, 284, 665, 894, 81, 1358, 81, 1793, 81, 3780, 81, 29801, 81, 843, 26, 784, 711, 291, 298, 280, 630, 32, 5522, 81, 2250, 346, 291, 298, 32, 1821, 81, 2593, 26, 605, 347, 1010, 46, 5379, 855, 5379, 48, 37616, 7275, 1057, 286, 683, 291, 1201, 13198, 34106, 18262, 328, 298, 32, 5784, 463, 1358, 370, 5053, 286, 950, 4247, 1748, 203, 823, 2108, 4196, 26, 5747, 1006, 711, 284, 3097, 203, 823, 2108, 1822, 39412, 26, 5747, 1006, 711, 284, 665, 894, 81, 1664, 26, 784, 711, 291, 298, 280, 630, 32, 5522, 81, 2250, 346, 291, 298, 32, 1821, 81, 2593, 26, 605, 347, 1010, 46, 5379, 855, 5379, 48, 41135, 291, 298, 32, 1821, 81, 2593, 26, 605, 347, 1010, 46, 5379, 855, 5379, 48, 37616, 7275, 1057, 4595, 683, 291, 298, 32, 5784, 463, 1664, 683, 291, 15590, 280, 298, 32, 371, 81, 843, 463, 4595, 32, 843, 683, 291, 1201, 15590, 32, 1516, 81, 45096, 610, 225, 35, 291, 1201, 15590, 32, 25857, 81, 3385, 610, 15584, 34, 9905, 284, 665, 894, 81, 1358, 26, 784, 711, 291, 298, 280, 630, 32, 5522, 81, 2250, 346, 291, 298, 32, 1821, 81, 2593, 26, 605, 347, 1010, 46, 5379, 855, 5379, 48, 41135, 291, 298, 32, 1821, 81, 2593, 26, 605, 347, 1010, 46, 5379, 855, 5379, 48, 37616, 7275, 1057, 4595, 683, 291, 15590, 280, 25238, 463, 4595, 683, 291, 15590, 1114, 1516, 81, 45096, 30, 15590, 1114, 25857, 81, 3385, 280, 225, 36, 30, 15584, 96, 333, 225, 36, 9905, 291, 298, 32, 1821, 81, 843, 26, 10771, 27, 291, 1201, 330, 1822, 5361, 31, 4403, 3338, 25, 328, 298, 32, 5784, 463, 1358, 683, 291, 15590, 280, 298, 32, 371, 81, 843, 463, 4595, 32, 843, 683, 291, 1201, 15590, 32, 1516, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 9, 8, 12, 12, 12, 10, 12, 12, 4, 4, 7, 8, 8, 8, 7, 9, 8, 12, 12, 12, 10, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 7, 8, 10, 10, 4, 4, 5, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 8, 12, 12, 12, 10, 9, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 9, 12, 12, 4, 4, 7, 8, 8, 8, 7, 9, 8, 10, 10, 10, 10, 10, 10, 10, 7, 8, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 11, 11, 4, 4, 5, 6, 9, 9, 7, 7, 9, 10, 9, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 9, 8, 10, 10, 10, 10, 10, 10, 10, 7, 8, 10, 10, 4, 4, 5, 8, 8, 6, 6, 8, 9, 8, 10, 10, 8, 12, 12, 10, 9, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 8, 10, 10, 10, 10, 10, 10, 10, 7, 8, 10, 10, 4, 4, 7, 8, 7, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 4, 4, 5, 7, 8, 8, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 8, 10, 10, 10, 10, 10, 10, 10, 7, 8, 10, 10, 4, 4, 6, 6, 8, 10, 10, 4, 4, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 6, 6, 8, 7, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 5, 7, 8, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 3, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 3, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 3, 0, 6, 6, 1, 2, 1, 1, 2, 6, 6, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 5, 0, 2, 2, 2, 1, 1, 2, 4, 4, 6, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 8, 0, 2, 2 ]
[ 465, 7138, 203, 465, 316, 203, 1070, 2322, 1188, 1519, 203, 465, 2361, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 300, 500, 1188, 6431, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 2304, 1188, 22158, 30, 18792, 203, 1070, 2156, 7529, 94, 1188, 2454, 81, 43092, 203, 1070, 6109, 81, 2846, 1188, 2287, 203, 1070, 2575, 32, 3378, 1188, 19104, 30, 9803, 203, 1070, 2575, 32, 4882, 32, 1237, 1188, 18564, 203, 1070, 2575, 32, 4882, 32, 858, 81, 605, 81, 1320, 1188, 7892, 203, 1070, 2575, 32, 2304, 81, 20696, 1188, 3139, 29719, 19593, 203, 823, 2108, 10966, 26, 8774, 32, 1761, 1240, 7233, 711, 284, 21791, 81, 45726, 81, 823, 280, 3139, 29719, 19593, 284, 477, 16099, 284, 665, 5365, 81, 1793, 81, 20696, 81, 426, 2262, 291, 5365, 81, 4151, 280, 428, 324, 301, 400, 313, 426, 563, 313, 29719, 3270, 392, 400, 313, 681, 563, 313, 800, 392, 400, 313, 15106, 563, 18564, 32, 22453, 81, 33495, 69, 324, 801, 324, 301, 400, 313, 426, 563, 313, 5786, 392, 400, 313, 681, 563, 313, 770, 392, 400, 313, 15106, 563, 18564, 32, 22453, 81, 33495, 69, 30, 400, 313, 1643, 563, 313, 1813, 392, 400, 313, 30101, 1269, 563, 301, 528, 330, 681, 950, 330, 28440, 1547, 25, 400, 320, 324, 801, 324, 301, 400, 313, 426, 563, 313, 27215, 392, 400, 313, 681, 563, 313, 2171, 392, 400, 313, 15106, 563, 18564, 32, 22453, 81, 33495, 69, 324, 801, 324, 301, 400, 313, 426, 563, 313, 27882, 392, 400, 313, 681, 563, 313, 2171, 392, 400, 313, 15106, 563, 18564, 32, 22453, 81, 33495, 69, 324, 801, 291, 1481, 291, 5365, 280, 18564, 32, 1297, 81, 3968, 81, 1070, 81, 4151, 26, 3968, 81, 4151, 27, 291, 442, 5365, 284, 665, 617, 7026, 81, 5522, 26, 784, 711, 291, 645, 2575, 32, 1237, 32, 4338, 1188, 6577, 732, 13976, 291, 6577, 732, 13976, 32, 20696, 81, 45726, 81, 823, 280, 630, 32, 20696, 81, 45726, 81, 823, 291, 2074, 280, 630, 32, 2250, 81, 35, 291, 2043, 280, 630, 32, 605, 81, 3483, 265, 81, 35, 81, 1580, 291, 5365, 280, 630, 32, 3968, 81, 1793, 81, 20696, 81, 426, 346, 291, 630, 32, 3210, 81, 35, 280, 630, 1114, 1297, 81, 5613, 81, 1793, 81, 3968, 26, 2250, 30, 2043, 30, 5365, 30, 20054, 5890, 81, 681, 47, 9395, 32, 2319, 81, 36175, 940, 81, 4384, 39763, 2893, 27, 291, 630, 32, 4133, 81, 35, 280, 630, 1114, 1297, 81, 1536, 81, 4133, 346, 284, 665, 617, 1297, 81, 1536, 81, 4133, 26, 784, 711, 291, 10180, 280, 630, 32, 3210, 81, 35, 291, 2043, 280, 630, 32, 26518, 431, 2531, 81, 35, 81, 1580, 291, 706, 280, 301, 324, 330, 29719, 3270, 950, 330, 828, 356, 1170, 551, 269, 370, 324, 330, 27215, 950, 429, 37, 36, 32, 34, 30, 324, 330, 27882, 950, 225, 35, 35, 39, 32, 41, 39, 30, 324, 330, 5786, 950, 330, 36, 34, 35, 42, 31, 34, 35, 31, 37, 35, 25 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 7, 7, 8, 8, 9, 9, 12, 12, 10, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 11, 12, 12, 12, 12, 9, 9, 8, 8, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 11, 12, 12, 12, 12, 9, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 12, 10, 11, 11, 14, 14, 12, 14, 14, 14, 11, 11, 9, 9, 8, 8, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 11, 12, 12, 12, 12, 9, 9, 8, 8, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 11, 12, 12, 12, 12, 9, 9, 8, 8, 5, 5, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 5, 5, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 6, 7, 5, 5, 7, 7, 4, 4, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 4, 4, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8, 10, 10, 9, 11, 10, 11, 11, 11, 11, 11, 11, 11, 11, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 7, 7, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 7, 7, 7, 10, 10, 8, 9, 9, 9, 9, 9, 9, 7, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 6, 4, 4, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 6, 6, 1, 2, 6, 6, 6, 6, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 9, 9, 1, 2, 9, 9, 9, 9, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 2, 1, 4, 4, 4, 4, 4, 11, 11, 0, 12, 12, 1, 2, 2, 2, 12, 12, 0, 0, 0, 13, 13, 1, 2, 0, 1, 2, 2, 2, 2, 13, 13, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 1, 1, 2, 2, 3, 3, 1, 2, 1, 1, 2, 3, 3, 1, 2, 3, 1, 2, 3, 3, 1, 2, 5, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 7, 1, 2, 3, 3, 1, 1, 2, 9, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 5, 5, 1, 2, 1, 1, 2, 5, 5, 1, 2, 3, 1, 2, 5, 5, 1, 2, 5, 2, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 1, 2, 1, 1, 2, 7, 7, 1, 2, 3, 1, 2, 7, 7, 1, 2, 5, 2, 2, 2, 2, 2, 7, 7, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 7, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 9592, 203, 6873, 544, 225, 35, 35, 32, 594, 278, 32, 225, 36, 34, 35, 36, 203, 50, 2116, 44, 298, 4977, 203, 9592, 203, 1070, 5592, 32, 48609, 32, 1308, 3350, 1188, 6828, 30, 3725, 1308, 203, 1070, 5592, 32, 48609, 1188, 6828, 3350, 203, 1070, 39231, 1188, 35713, 44038, 32101, 203, 465, 2322, 203, 465, 3995, 203, 465, 5237, 203, 589, 23937, 26084, 2262, 284, 273, 11372, 4045, 1063, 2976, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 33115, 1026, 313, 1163, 657, 284, 415, 26, 3731, 32, 5134, 610, 313, 4463, 37, 36, 10280, 291, 1123, 750, 2976, 280, 2322, 32, 23407, 463, 6870, 4601, 683, 291, 273, 11372, 1063, 2044, 2976, 280, 2322, 32, 983, 32, 2524, 26, 725, 750, 2976, 30, 313, 70, 11372, 3505, 657, 284, 4348, 26, 3731, 32, 5134, 610, 313, 24917, 10280, 291, 1123, 750, 2976, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 23407, 463, 4975, 21448, 683, 556, 2322, 32, 23407, 463, 8439, 1425, 313, 5876, 657, 291, 273, 11372, 1063, 2044, 2976, 280, 2322, 32, 983, 32, 2524, 26, 725, 750, 2976, 30, 313, 70, 11372, 3505, 657, 284, 813, 44, 291, 1123, 750, 2976, 280, 2322, 32, 23407, 463, 4975, 21448, 683, 556, 2322, 32, 23407, 463, 8439, 683, 291, 273, 11372, 1063, 2044, 2976, 280, 2322, 32, 983, 32, 2524, 26, 725, 750, 2976, 30, 4939, 70, 11372, 3505, 657, 284, 415, 26, 500, 32, 983, 32, 34103, 26, 725, 750, 2976, 27, 610, 2933, 711, 291, 415, 26, 500, 32, 983, 32, 34103, 26, 102, 11372, 1063, 2044, 2976, 27, 610, 3177, 711, 324, 2322, 32, 27428, 26, 102, 11372, 1063, 2044, 2976, 27, 291, 415, 26, 500, 32, 983, 32, 34103, 26, 102, 11372, 1063, 2044, 2976, 27, 610, 3177, 711, 324, 273, 11372, 1063, 2044, 2976, 280, 273, 11372, 4045, 1063, 2976, 324, 273, 11372, 6076, 2044, 2976, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 33115, 1026, 313, 858, 6076, 657, 291, 813, 44, 324, 273, 11372, 6076, 2044, 2976, 280, 2322, 32, 983, 32, 2524, 26, 102, 11372, 1063, 2044, 2976, 30, 313, 6076, 657, 324, 415, 26, 500, 32, 983, 32, 34103, 26, 102, 11372, 6076, 2044, 2976, 27, 610, 3177, 711, 400, 2322, 32, 27428, 26, 102, 11372, 6076, 2044, 2976, 27, 324, 415, 26, 500, 32, 983, 32, 34103, 26, 102, 11372, 6076, 2044, 2976, 27, 610, 3177, 711, 400, 273, 11372, 6076, 2044, 2976, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 33115, 1026, 313, 858, 6076, 657, 284, 813, 44, 291, 273, 11372, 1063, 2044, 2976, 280, 273, 11372, 4045, 1063, 2976, 291, 273, 11372, 6076, 2044, 2976, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 33115, 1026, 313, 858, 6076, 657, 284, 1459, 30156, 319, 225, 35, 34, 34, 284, 1459, 313, 2897, 298, 4977, 44, 1123, 750, 2976, 44, 313, 474, 596, 26, 725, 750, 2976, 27, 284, 1459, 313, 2897, 298, 4977, 44, 273, 11372, 1063, 2044, 2976, 44, 313, 474, 596, 26, 102, 11372, 1063, 2044, 2976, 27, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 9, 8, 9, 8, 6, 8, 8, 2, 2, 4, 7, 6, 7, 5, 5, 7, 7, 7, 7, 3, 3, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 4, 4, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 3, 3, 5, 8, 7, 8, 6, 6, 8, 8, 4, 4, 8, 8, 7, 7, 10, 11, 9, 10, 9, 13, 12, 13, 12, 14, 14, 14, 10, 10, 12, 13, 12, 14, 14, 9, 11, 11, 5, 5, 8, 8, 8, 8, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 9, 11, 11, 11, 11, 3, 3, 4, 4, 4, 8, 8, 7, 7, 10, 11, 10, 12, 12, 12, 8, 8, 10, 11, 10, 12, 12, 5, 5, 8, 8, 8, 8, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 9, 11, 11, 11, 11, 2, 2, 4, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 5, 5, 4, 3, 3, 6, 11, 10, 11, 9, 10, 9, 10, 10, 10, 10, 10, 9, 7, 7, 6, 5, 5, 9, 10, 9, 10, 10, 10, 10, 10, 9, 4, 4, 6, 11, 10, 11, 9, 10, 9, 10, 10, 10, 10, 10, 9, 7, 7, 6, 5, 5, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 8, 8, 11, 12, 10, 11, 10, 13, 12, 13, 12, 10, 12, 12, 12, 5, 5, 6, 6, 6, 10, 10, 10, 10, 9, 9, 12, 13, 11, 12, 11, 12, 12, 12, 12, 12, 11, 11, 13, 13, 7, 7, 9, 14, 13, 14, 12, 13, 12, 13, 13, 13, 13, 13, 12, 10, 10, 9, 8, 8, 12, 13, 12, 13, 13, 13, 13, 13, 12, 7, 7, 9, 14, 13, 14, 12, 13, 12, 13, 13, 13, 13, 13, 12, 10, 10, 9, 8, 8, 12, 12, 12, 12, 11, 11, 14, 15, 13, 14, 13, 16, 15, 16, 15, 13, 15, 15, 15, 3, 3, 4, 4, 4, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 7, 7, 10, 11, 9, 10, 9, 12, 11, 12, 11, 9, 11, 11, 11, 2, 2, 3, 4, 4, 5, 5, 5, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 7, 7, 7, 7, 7, 6, 2 ]
[ 0, 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, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 4, 4, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4 ]
[ 465, 298, 325, 9000, 365, 4704, 716, 203, 98, 325, 9000, 365, 4704, 280, 298, 325, 9000, 365, 4704, 716, 32, 12547, 7851, 23502, 346, 203, 98, 325, 9000, 365, 4704, 32, 2024, 81, 33983, 77, 34, 997, 389, 81, 267, 346, 261, 203, 98, 325, 9000, 365, 4704, 32, 2024, 81, 33983, 77, 35, 997, 389, 81, 267, 346, 261, 203, 98, 325, 9000, 365, 4704, 32, 2024, 81, 33983, 77, 36, 997, 389, 81, 267, 346, 261, 203, 98, 325, 9000, 365, 4704, 32, 2024, 81, 33983, 77, 37, 997, 389, 81, 267, 346, 261, 203, 98, 325, 9000, 365, 4704, 32, 2024, 81, 33983, 77, 38, 997, 389, 81, 267, 346, 261, 203, 98, 325, 9000, 365, 4704, 32, 2024, 81, 33983, 77, 39, 997, 389, 81, 267, 346, 261, 203, 98, 325, 9000, 365, 4704, 32, 2024, 81, 33983, 77, 40, 997, 389, 81, 267, 346, 261, 203, 98, 325, 9000, 365, 4704, 32, 2024, 81, 33983, 77, 41, 997, 389, 81, 267, 346, 261, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 0, 6, 6, 6, 6, 6, 5, 6, 6, 6, 4, 5, 4, 4, 4, 4, 3, 0, 0, 6, 6, 6, 6, 6, 5, 6, 6, 6, 4, 5, 4, 4, 4, 4, 3, 0, 0, 6, 6, 6, 6, 6, 5, 6, 6, 6, 4, 5, 4, 4, 4, 4, 3, 0, 0, 6, 6, 6, 6, 6, 5, 6, 6, 6, 4, 5, 4, 4, 4, 4, 3, 0, 0, 6, 6, 6, 6, 6, 5, 6, 6, 6, 4, 5, 4, 4, 4, 4, 3, 0, 0, 6, 6, 6, 6, 6, 5, 6, 6, 6, 4, 5, 4, 4, 4, 4, 3, 0, 0, 6, 6, 6, 6, 6, 5, 6, 6, 6, 4, 5, 4, 4, 4, 4, 3, 0, 0, 6, 6, 6, 6, 6, 5, 6, 6, 6, 4, 5, 4, 4, 4, 4, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 25156, 225, 34, 36, 30, 225, 36, 34, 35, 37, 203, 50, 2116, 44, 45400, 23083, 533, 47288, 302, 203, 50, 5546, 44, 5549, 9688, 32, 92, 8012, 899, 50, 7253, 32, 508, 203, 9592, 203, 465, 36252, 203, 465, 42406, 203, 823, 5778, 1038, 717, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 284, 665, 739, 81, 5138, 26, 784, 30, 1519, 26409, 8218, 1057, 19538, 37, 36, 370, 2163, 891, 47, 42, 35, 43, 36, 711, 291, 630, 32, 983, 280, 1519, 291, 630, 32, 12124, 280, 8218, 291, 630, 32, 1521, 891, 280, 2163, 891, 284, 665, 739, 81, 12124, 26, 784, 30, 8218, 711, 291, 630, 32, 12124, 280, 8218, 284, 665, 739, 81, 761, 26, 784, 30, 1519, 711, 291, 630, 32, 983, 280, 1519, 284, 665, 739, 81, 1521, 81, 891, 26, 784, 30, 2163, 891, 711, 291, 630, 32, 1521, 891, 280, 2163, 891, 284, 665, 622, 81, 12124, 26, 784, 711, 291, 442, 630, 32, 12124, 284, 665, 622, 81, 761, 26, 784, 711, 291, 442, 630, 32, 983, 284, 665, 622, 81, 1521, 81, 891, 26, 784, 711, 291, 442, 630, 32, 1521, 891, 284, 665, 4450, 20967, 26, 784, 30, 1519, 26409, 2163, 891, 47, 42, 35, 43, 36, 711, 291, 33663, 280, 225, 34, 291, 415, 1519, 610, 40496, 324, 1519, 280, 630, 32, 983, 291, 415, 2163, 891, 610, 225, 42, 35, 43, 36, 44, 324, 2163, 891, 280, 630, 32, 1521, 891, 291, 415, 330, 19538, 37, 36, 25, 328, 630, 32, 12124, 44, 324, 33663, 280, 630, 32, 2493, 303, 735, 899, 26, 983, 30, 2163, 891, 27, 291, 4348, 330, 954, 39, 25, 328, 630, 32, 12124, 44, 324, 33663, 280, 630, 32, 2493, 303, 405, 86, 39, 26, 983, 30, 2163, 891, 27, 291, 442, 33663, 284, 665, 25407, 735, 899, 26, 784, 30, 1519, 30, 2163, 891, 711, 291, 5564, 288, 957, 280, 225, 34, 291, 623, 2156, 26, 983, 30, 330, 4506, 683, 619, 296, 44, 324, 2218, 2933, 44, 400, 706, 280, 296, 32, 850, 26, 1521, 891, 27, 400, 415, 646, 706, 44, 528, 1626, 400, 5564, 288, 957, 280, 36252, 32, 19538, 37, 36, 26, 605, 30, 5564, 288, 957, 27, 324, 442, 5564, 288, 957, 284, 665, 25407, 405, 86, 39, 26, 784, 30, 1519, 30, 2163, 891, 711, 291, 623, 2156, 26, 983, 30, 330, 4506, 683, 619, 296, 44, 324, 345, 280, 42406, 32, 954, 39, 346, 324, 2218, 2933, 44, 400, 706, 280, 296, 32, 850, 26, 1521, 891, 27, 400, 415, 646, 706, 44, 528, 1626, 400, 345, 32, 1877, 26, 605, 27, 324, 442, 345, 32, 6949, 13995, 346, 284, 665, 6144, 26, 784, 30, 1519, 30, 19358, 711, 291, 415, 19358, 610, 630, 32, 5536, 20967, 26, 983, 711, 324, 442, 330, 11192, 6351, 25, 291, 813, 44, 324, 442, 330, 7815, 25, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 1519, 280, 3056, 2833, 33, 8632, 33, 11853, 33, 4603, 33, 21574, 33 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 5, 7, 7, 7, 7, 4, 6, 5, 6, 6, 6, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 6, 5, 6, 6, 6, 6, 4, 3, 3, 6, 6, 7, 4, 4, 5, 6, 6, 5, 5, 8, 8, 9, 10, 4, 4, 5, 7, 6, 6, 7, 7, 7, 7, 5, 5, 5, 9, 8, 8, 9, 10, 10, 4, 4, 5, 8, 8, 8, 8, 6, 6, 7, 8, 5, 5, 5, 8, 8, 10, 11, 11, 11, 11, 10, 11, 10, 10, 11, 10, 5, 5, 6, 9, 9, 9, 7, 7, 8, 9, 6, 6, 6, 9, 9, 11, 12, 12, 12, 12, 12, 11, 12, 11, 11, 12, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 4, 4, 5, 10, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 7, 7, 7, 7, 10, 10, 12, 13, 12, 13, 13, 12, 8, 8, 9, 10, 9, 9, 9, 8, 8, 11, 11, 10, 10, 12, 13, 13, 13, 12, 13, 12, 12, 13, 13, 12, 6, 6, 7, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 8, 8, 10, 11, 11, 10, 6, 6, 7, 7, 7, 7, 10, 10, 12, 13, 12, 13, 13, 12, 8, 8, 9, 10, 9, 9, 9, 8, 8, 11, 12, 11, 12, 11, 6, 6, 7, 9, 10, 10, 9, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 8, 9, 9, 8, 9, 8, 5, 5, 7, 9, 9, 9, 5, 5, 6, 6, 6, 8, 10, 10, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 2, 5, 1, 1, 1, 2, 2, 0, 7, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 0, 0, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 2, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 2, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 2, 2, 4, 4, 8, 1, 2, 1, 2, 2, 3, 2, 0, 5, 2, 2, 2, 2, 2, 8, 8, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 0, 0, 2, 2, 4, 4, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 3, 3, 4, 1, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 4, 4, 4, 9, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 9, 9, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 3, 3, 1, 1, 1, 4, 4, 10, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 10, 10, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 3, 3, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 2, 0, 2, 2, 1, 4, 4, 11, 2, 1, 2, 2, 2, 2, 2, 11, 11, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 4, 4, 4, 0, 1, 2, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 1199, 1188, 4549, 30, 12522, 203, 465, 8527, 32, 2304, 32, 18218, 203, 465, 8527, 32, 1262, 32, 24894, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 291, 2726, 2393, 370, 330, 34, 34, 34, 35, 81, 4332, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 29977, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 10529, 81, 426, 1057, 779, 370, 12741, 47, 2700, 30, 2267, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 3662, 400, 2726, 2895, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 36, 42, 30, 9541, 81, 426, 1057, 2895, 13356, 400, 2726, 2135, 81, 3615, 370, 4549, 32, 36172, 26, 1536, 47, 11025, 32, 2304, 32, 18218, 32, 2174, 30, 9541, 81, 426, 1057, 2135, 6207, 13356, 400, 2726, 297, 81, 39744, 370, 4549, 32, 39471, 26, 1536, 47, 2700, 30, 3049, 81, 878, 1057, 8899, 1196, 688, 458, 1256, 1401, 1169, 4227, 2876, 13413, 43672, 3026, 6418, 9541, 81, 426, 1057, 39744, 2287, 13356, 400, 2726, 699, 370, 4549, 32, 16357, 26, 4756, 81, 878, 1057, 5413, 32, 225, 37, 34, 7125, 556, 36845, 32, 10251, 5725, 30, 16105, 461, 477, 33, 1569, 29, 15913, 8501, 1755, 6418, 5799, 47, 1815, 30, 1769, 81, 1322, 47, 37, 34, 30, 9541, 81, 426, 1057, 699, 370, 27927, 6020, 11025, 32, 1262, 32, 24894, 32, 10851, 7063, 463, 35573, 1736, 105, 32, 50, 10873, 6155, 37143, 330, 6545, 312, 2080, 952, 6418, 330, 5790, 683, 29485, 400, 2726, 2232, 81, 426, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 37, 34, 30, 9541, 81, 426, 1057, 2232, 636, 370, 11771, 47, 1815, 3662, 400, 2726, 2135, 81, 426, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 37, 34, 30, 9541, 81, 426, 1057, 2135, 636, 370, 11771, 47, 1815, 3662, 400, 2726, 1935, 370, 4549, 32, 4477, 1176, 26, 1449, 81, 1322, 47, 41, 39, 30, 9541, 81, 426, 1057, 1935, 2965, 370, 11771, 47, 1815, 3662, 400, 2726, 297, 81, 15989, 370, 4549, 32, 39471, 26, 1536, 47, 2700, 30, 3049, 81, 878, 1057, 8899, 1196, 4946, 322, 1256, 883, 1245, 1991, 458, 5605, 4755, 6418, 9541, 81, 426, 1057, 15989, 2287, 13356, 400, 2726, 297, 81, 2480, 370, 4549, 32, 39471, 26, 1536, 47, 1815, 30, 3049, 81, 878, 1057, 8899, 1196, 4946, 458, 1256, 1395, 526, 23902, 619, 4523, 32, 1683, 1613, 458, 4174, 432, 20677, 13077, 6418, 9541, 81, 426, 1057, 2480, 13356, 400, 2726, 770, 81, 35683, 370, 4549, 32, 36172, 26, 1536, 47, 11025, 32, 2304, 32, 18218, 32, 2174, 30, 9541, 81, 426, 1057, 770, 27033, 13356, 400, 2726, 6332, 370, 4549, 32, 46046, 1176, 26, 10513, 81, 1217, 81, 426, 1057, 496, 370, 5886, 81, 426, 1057, 496, 81, 470, 370, 372, 1057, 2393, 32, 1564, 370, 11771, 47, 1815, 30, 3049, 81, 878, 1057, 1318, 8351, 458, 1256, 17732, 372, 32, 399, 1256, 1098, 622 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 12, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 17, 16, 17, 15, 16, 14, 15, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 13, 14, 12, 12, 14, 14, 13, 14, 14, 12, 12, 14, 14, 13, 15, 15, 12, 13, 19, 18, 19, 17, 18, 16, 17, 17, 16, 18, 19, 18, 18, 18, 18, 18, 18, 16, 18, 18, 18, 18, 18, 16, 18, 18, 14, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 12, 12, 14, 14, 13, 15, 15, 15, 12, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 12, 12, 14, 14, 13, 15, 15, 15, 12, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 14, 12, 12, 14, 14, 13, 15, 15, 15, 12, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 17, 16, 17, 15, 16, 14, 15, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 14, 14, 13, 15, 15, 12, 14, 14, 13, 15, 15, 15, 15, 12, 13, 15, 15, 15, 15, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 0, 3, 3, 1, 2, 1, 4, 0, 4, 4, 2, 0, 1, 2, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 0, 0, 7, 2, 1, 2, 2, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 1, 1, 2, 2, 2, 1, 2, 9, 0, 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, 3, 2, 1, 1, 0, 0, 5, 2, 2, 1, 1, 0, 0, 7, 1, 2, 1, 9, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 11, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 3, 1, 1, 2, 1, 5, 2, 1, 2, 2, 1, 1, 1, 2, 13, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 3, 1, 1, 2, 1, 5, 2, 1, 2, 2, 1, 2, 15, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 3, 1, 1, 2, 1, 5, 2, 1, 2, 2, 1, 1, 1, 2, 17, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 1, 1, 2, 2, 2, 1, 1, 1, 2, 19, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 1, 2, 2, 2, 1, 1, 1, 2, 21, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 3, 1, 1, 2, 2, 2, 1, 2, 23, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 2, 1, 1, 0, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2361, 203, 1070, 7138, 1188, 7138, 203, 465, 2340, 1040, 32, 3922, 203, 1070, 8527, 32, 2304, 32, 525, 1188, 1984, 4434, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 273, 633, 2983, 1075, 32, 3378, 1188, 8059, 953, 203, 1070, 273, 633, 2983, 1075, 32, 5379, 1188, 6287, 203, 1070, 273, 633, 2983, 1075, 1188, 3829, 203, 1070, 5296, 16609, 32, 7491, 32, 6332, 32, 3378, 1188, 7051, 203, 1070, 5296, 16609, 32, 39978, 741, 101, 32, 3734, 37749, 1188, 9082, 74, 1241, 66, 335, 741, 203, 1070, 281, 6771, 8538, 32, 3378, 1188, 1593, 1241, 1810, 203, 1070, 1135, 2593, 32, 7491, 32, 1732, 32, 3378, 1188, 2764, 95, 20655, 2732, 203, 1070, 5296, 16609, 32, 39978, 741, 101, 32, 37749, 1188, 1593, 1241, 66, 335, 741, 203, 1070, 5296, 16609, 32, 39978, 741, 101, 32, 1732, 1188, 12020, 66, 335, 741, 203, 1070, 5296, 16609, 32, 7491, 32, 3707, 32, 3378, 1188, 2764, 95, 20655, 1240, 30, 3704, 1240, 203, 1070, 5296, 16609, 32, 7491, 32, 4116, 32, 3378, 1188, 14063, 203, 1070, 5296, 16609, 32, 7491, 32, 16097, 5098, 32, 3378, 1188, 3720, 42442, 1651, 30, 12020, 42442, 1651, 30, 13801, 1241, 42442, 1651, 203, 1070, 5296, 16609, 32, 7491, 32, 1237, 32, 5379, 1188, 354, 34, 81, 35, 30, 354, 34, 81, 38, 30, 354, 34, 81, 39, 203, 1070, 5296, 16609, 32, 7491, 32, 1237, 32, 4151, 1188, 2614, 7434, 11853, 1176, 30, 2614, 3582, 3092, 1176, 30, 4417, 2797, 14815, 30, 2614, 7434, 7167, 1176, 203, 1070, 5296, 16609, 32, 7491, 32, 1237, 1188, 2813, 203, 1070, 5296, 16609, 32, 7491, 32, 1237, 32, 307, 1188, 15107, 1625, 885, 30, 15107, 1240, 924, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 3115, 32, 3463, 348, 32, 3378, 1188, 14249, 81, 10030, 58, 783, 81, 2883, 11785, 927, 12721, 203, 823, 18883, 74, 1241, 940, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 2180, 280, 1605, 291, 630, 32, 17439, 280, 1605, 284, 665, 1015, 81, 1427, 26, 784, 30, 804, 30, 3693, 711, 291, 630, 32, 2180, 32, 1689, 26, 1427, 27, 284, 665, 1420, 81, 1217, 26, 784, 30, 2467, 711, 291, 630, 32, 17439, 32, 1689, 26, 1217, 27, 291, 1477, 280, 2467, 32, 371, 463, 1070, 370, 225, 34, 27, 291, 943, 280, 308, 1217, 710, 891, 785, 474, 1477, 27, 415, 330, 891, 25, 328, 2467, 813, 1665, 291, 442, 301, 324, 330, 13504, 950, 301, 400, 330, 2999, 950, 2069, 26, 784, 32, 2180, 471, 400, 330, 13504, 950, 7316, 29464, 1855, 950, 3693, 111, 436, 3693, 328, 630, 32, 2180, 77, 1366, 44, 416, 3212, 324, 320, 291, 320, 203, 823, 2330, 2291, 1006, 26, 7233, 711, 284, 2869, 280, 1665, 3701, 4125, 81, 426, 280, 330, 104, 34, 32, 38, 25, 3701, 1769, 7832, 280, 1665, 284, 477, 17614, 284, 665, 14553, 1339, 26, 6933, 711, 291, 9011, 32, 4116, 280, 14063, 32, 371, 81, 271, 81, 1297, 81, 1793 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 9, 8, 4, 4, 6, 6, 11, 10, 12, 12, 9, 9, 8, 7, 7, 10, 10, 8, 8, 7, 7, 4, 4, 5, 6, 6, 9, 9, 7, 8, 8, 11, 11, 9, 11, 13, 12, 13, 11, 8, 8, 11, 11, 9, 14, 14, 14, 12, 11, 10, 11, 11, 11, 13, 14, 12, 14, 13, 14, 12, 8, 8, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 8, 9, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 6, 6, 0, 0, 0, 1, 2, 6, 6, 0, 0, 7, 7, 0, 0, 0, 1, 2, 7, 7, 0, 8, 8, 0, 0, 0, 8, 8, 0, 9, 9, 0, 1, 2, 1, 4, 1, 6, 9, 9, 0, 10, 10, 0, 1, 2, 2, 2, 1, 4, 4, 10, 10, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 1, 2, 11, 11, 0, 0, 0, 12, 12, 0, 1, 2, 1, 4, 1, 6, 12, 12, 0, 0, 0, 0, 13, 13, 0, 1, 2, 2, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 14, 14, 0, 1, 2, 2, 2, 1, 4, 14, 14, 0, 0, 0, 0, 15, 15, 0, 1, 2, 1, 4, 1, 6, 15, 15, 0, 0, 0, 15, 15, 0, 0, 16, 16, 0, 1, 2, 1, 4, 1, 6, 16, 16, 0, 17, 17, 0, 1, 2, 1, 4, 4, 1, 6, 17, 17, 0, 0, 17, 17, 0, 0, 17, 17, 0, 0, 0, 0, 18, 18, 0, 1, 2, 1, 4, 1, 6, 18, 18, 0, 0, 0, 18, 18, 0, 0, 0, 18, 18, 0, 0, 0, 0, 19, 19, 0, 1, 2, 1, 4, 1, 6, 19, 19, 0, 0, 0, 19, 19, 0, 0, 0, 19, 19, 0, 0, 19, 19, 0, 0, 0, 0, 20, 20, 0, 1, 2, 1, 4, 20, 20, 0, 21, 21, 0, 1, 2, 1, 4, 1, 6, 21, 21, 0, 0, 21, 21, 0, 0, 0, 22, 22, 1, 2, 22, 22, 0, 23, 23, 1, 2, 2, 1, 4, 23, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, 1, 1, 1, 2, 1, 2, 24, 24, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 3, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 3, 0, 2, 2, 3, 2, 2, 1, 1, 0, 25, 25, 1, 1, 2, 1, 2, 25, 25, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 1, 3, 3, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2 ]
[ 1070, 354, 17632, 32, 359, 820, 32, 8662, 1188, 12073, 30, 17391, 30, 7679, 620, 203, 1070, 354, 17632, 32, 359, 820, 32, 1473, 1188, 32994, 750, 30, 7679, 750, 30, 34354, 750, 203, 1070, 354, 17632, 32, 359, 820, 32, 3483, 1188, 3772, 3711, 203, 1070, 354, 17632, 32, 725, 32, 18421, 81, 42926, 1188, 2752, 1704, 3442, 203, 823, 475, 934, 31240, 26, 31240, 3442, 711, 284, 2503, 81, 426, 280, 313, 14683, 225, 16025, 35512, 46144, 20, 284, 1244, 81, 8126, 280, 301, 291, 313, 10093, 81, 7010, 563, 4320, 291, 313, 7354, 563, 428, 5222, 32, 10129, 32, 853, 30, 17391, 32, 15456, 32, 853, 614, 291, 313, 1174, 81, 681, 563, 428, 324, 7679, 620, 32, 12213, 1218, 32, 853, 30, 4288, 7679, 620, 32, 13681, 32, 853, 30, 324, 7679, 620, 32, 15707, 32, 853, 30, 324, 7679, 620, 32, 1852, 61, 32, 853, 30, 324, 7679, 620, 32, 1362, 61, 32, 853, 291, 2505, 291, 313, 4415, 563, 225, 34, 32, 34, 30, 291, 313, 7236, 563, 225, 34, 32, 34, 30, 291, 313, 2881, 563, 428, 324, 12073, 32, 8467, 32, 853, 30, 324, 12073, 32, 10933, 32, 853, 30, 324, 12073, 32, 18773, 32, 853, 30, 324, 12073, 32, 18773, 1407, 14318, 32, 853, 30, 324, 12073, 32, 18773, 75, 4128, 527, 14318, 32, 853, 291, 1481, 284, 320, 284, 4886, 280, 428, 291, 313, 359, 2381, 392, 291, 313, 10093, 81, 1174, 314, 392, 291, 313, 1174, 81, 1517, 392, 284, 1481, 284, 665, 1156, 1664, 3207, 291, 630, 30, 291, 29299, 81, 3483, 44, 3772, 3711, 30, 291, 29299, 81, 426, 44, 596, 30, 291, 5748, 44, 5436, 284, 8063, 291, 1524, 2993, 334, 2599, 17094, 1664, 3207, 18421, 81, 3483, 30, 29299, 81, 426, 30, 5748, 27, 291, 588, 2716, 321, 630, 32, 10093, 81, 7010, 280, 5748, 1365, 10093, 81, 7010, 1446, 291, 630, 32, 7354, 280, 17391, 26, 8126, 1365, 7354, 6890, 291, 630, 32, 1174, 81, 681, 280, 7679, 620, 26, 8126, 1365, 1174, 81, 681, 6890, 291, 630, 32, 4415, 280, 5748, 1365, 4415, 1446, 291, 630, 32, 7236, 280, 5748, 1365, 7236, 1446, 291, 630, 32, 2881, 280, 12073, 26, 8126, 1365, 2881, 6890, 291, 588, 18956, 360, 630, 32, 10093, 81, 1174, 314, 280, 3330, 291, 630, 32, 359, 2381, 280, 225, 34, 291, 630, 32, 1174, 81, 1517, 280, 3330, 291, 630, 32, 7764, 26, 784, 32, 10093, 81, 7010, 27, 291, 630, 32, 524, 81, 5138, 81, 1567, 346, 291, 630, 32, 524, 81, 9578, 81, 1567, 346, 284, 665, 544, 81, 10727, 26, 784, 30, 12904, 44, 34354, 750, 711, 291, 1524, 2993, 334, 415, 646, 630, 32, 10093, 81, 1174, 314, 44, 324, 415, 630, 32, 7354, 610, 17391, 32, 10129, 44, 400, 630, 32, 10093, 81, 1174, 314, 280, 630, 32, 13046, 26, 528, 630, 32, 10093, 81, 7010, 30, 528, 630, 32, 4415, 30, 528, 630, 32, 7236, 30, 528, 630, 32, 1174, 81, 681, 30, 528, 630, 32, 2881, 400, 829, 324, 813, 44, 400, 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, 3, 2, 3, 3, 2, 3, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 5, 5, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 5, 5, 5, 5, 8, 8, 8, 7, 7, 10, 10, 10, 10, 9, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 7, 7, 7, 10, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 7, 7, 7, 10, 9, 10, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 7, 7, 5, 5, 5, 5, 7, 7, 7, 7, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 7, 7, 4, 4, 4, 6, 6, 6, 6, 4, 4, 6, 6, 7, 7, 3, 3, 3, 7, 0, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 4, 4, 4, 6, 7, 7, 0, 0, 0, 4, 4, 4, 4, 2, 4, 4, 4, 6, 6, 5, 7, 7, 0, 0, 0, 4, 3, 2, 4, 4, 5, 0, 0, 0, 4, 4, 2, 4, 3, 5, 0, 0, 0, 4, 4, 2, 2, 4, 6, 5, 7, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 3, 5, 5, 5, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 5, 1, 1, 1, 5, 5, 0, 2, 2, 2, 4, 4, 4, 4, 1, 1, 1, 3, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 8, 8, 8, 8, 8, 6, 9, 9, 8, 8, 8, 8, 10, 10, 10, 8, 8, 8, 10, 10, 8, 8, 8, 10, 9, 8, 8, 8, 10, 10, 10, 10, 8, 8, 8, 10, 8, 8, 3, 3, 3, 4, 4 ]
[ 0, 0, 0, 1, 2, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 4, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 4, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 4, 4, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 3, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 3, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 5, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 12, 12, 12, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 18, 1, 1, 1, 1, 1, 0, 0, 0, 18, 18, 18, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 19, 19, 19, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 5, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 4, 4 ]
[ 465, 2322, 203, 465, 2361, 203, 465, 1133, 203, 1070, 1359, 1188, 4070, 203, 1070, 1561, 32, 7878, 1188, 4082, 203, 589, 2575, 2262, 284, 3635, 81, 668, 280, 2322, 32, 26366, 26, 3550, 32, 4975, 81, 3197, 81, 19856, 27, 284, 436, 3635, 328, 3635, 81, 668, 44, 291, 6550, 81, 1338, 280, 2361, 32, 944, 26, 1676, 26, 500, 32, 983, 32, 2524, 26, 3550, 32, 4975, 81, 3197, 81, 19856, 30, 3635, 30, 330, 6390, 81, 1338, 32, 1260, 21180, 291, 1671, 81, 1003, 280, 1133, 32, 1696, 1003, 346, 2607, 10219, 280, 1623, 710, 2999, 81, 286, 8045, 785, 319, 225, 34, 32, 34, 34, 34, 39, 324, 415, 6550, 81, 1338, 710, 38666, 785, 2377, 10219, 44, 400, 6550, 81, 1338, 710, 38666, 785, 5912, 10219, 324, 813, 44, 400, 1779, 280, 10219, 429, 6550, 81, 1338, 710, 38666, 785, 400, 6550, 81, 1338, 710, 10401, 785, 5912, 1779, 324, 4082, 81, 2067, 280, 4082, 32, 371, 81, 4073, 26, 2294, 30, 1671, 81, 1003, 27, 324, 4082, 81, 2067, 32, 1338, 440, 6290, 259, 24039, 13459, 6135, 429, 904, 88, 429, 225, 12863, 8375, 3087, 13992, 11039, 24039, 24804, 23, 101, 11186, 15115, 6290, 259, 24039, 23, 88, 1121, 13992, 11039, 24039, 23, 88, 20, 904, 308, 13927, 30, 1623, 710, 770, 2188, 1623, 710, 2999, 81, 286, 8045, 2188, 1623, 710, 10401, 81, 286, 8045, 2188, 490, 324, 2361, 32, 5937, 26, 400, 6550, 81, 1338, 30, 400, 2156, 26, 500, 32, 983, 32, 2524, 26, 3550, 32, 4975, 81, 3197, 81, 19856, 30, 6550, 81, 1338, 710, 2294, 2188, 313, 6390, 81, 1338, 32, 1260, 2113, 330, 105, 683, 324, 829, 291, 588, 16985, 12377, 45554, 35, 34, 8255, 26, 43, 8255, 24416, 27, 291, 588, 261, 41086, 27578, 23211, 3382, 25394, 6018, 1121, 8978, 6817, 6018, 14099, 4314, 22760, 6406, 12148, 2994, 1121, 15283, 8865, 6135, 1121, 25305, 1121, 5192, 10148, 37907, 23211, 5331, 5509, 47568, 1448, 291, 415, 1671, 81, 1003, 785, 848, 323, 8021, 313, 2999, 81, 286, 8045, 563, 6550, 81, 1338, 710, 15237, 785, 429, 6550, 81, 1338, 710, 10401, 2188, 4511, 313, 10401, 81, 286, 8045, 563, 6550, 81, 1338, 710, 15237, 785, 429, 6550, 81, 1338, 710, 10401, 2188, 4511, 320, 324, 6550, 81, 1338, 710, 286, 8045, 5695, 1689, 26, 2938, 27, 324, 588, 4813, 228, 47568, 37907, 23211, 5331, 324, 6550, 81, 1338, 710, 10401, 785, 280, 6550, 81, 1338, 710, 15237, 785, 324, 2361, 32, 5937, 26, 400, 6550, 81, 1338, 30, 400, 2156, 26, 500, 32, 983, 32, 2524, 26, 3550, 32, 4975, 81, 3197, 81, 19856, 30, 6550, 81, 91, 1338, 32, 1260, 2113, 330, 105, 683, 324, 829, 203, 589, 1420, 2262, 284, 2575, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 4, 2, 2, 1, 2, 2, 3, 2, 2, 6, 6, 5, 5, 7, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 9, 9, 8, 8, 10, 11, 10, 12, 12, 16, 15, 16, 14, 15, 14, 16, 15, 16, 16, 16, 16, 16, 14, 14, 14, 14, 16, 16, 16, 16, 16, 16, 6, 6, 9, 9, 8, 8, 10, 11, 11, 10, 6, 6, 8, 8, 10, 12, 12, 12, 12, 12, 9, 9, 10, 10, 10, 10, 10, 10, 6, 6, 7, 10, 10, 9, 11, 11, 8, 8, 7, 7, 7, 12, 12, 11, 13, 13, 10, 10, 7, 7, 8, 8, 8, 11, 11, 12, 12, 14, 14, 13, 15, 15, 9, 9, 13, 13, 12, 14, 14, 11, 11, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 11, 10, 10, 11, 11, 10, 6, 6, 10, 10, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 11, 13, 14, 14, 14, 11, 13, 13, 14, 13, 13, 14, 14, 9, 6, 6, 6, 6, 9, 9, 9, 9, 9, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 11, 11, 15, 15, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 13, 15, 15, 15, 16, 13, 15, 15, 15, 15, 15, 15, 13, 11, 11, 13, 13, 11, 9, 9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 7, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 9, 10, 10, 8, 7, 9, 9, 9, 10, 10, 8, 5, 5, 5, 5, 4, 4, 4, 4, 11, 9, 9, 9, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 9, 9, 9, 9, 10, 10, 10, 7, 7, 9, 9, 9, 9, 8, 5, 5, 5, 5, 5, 9, 9, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 0, 0, 0, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 1, 2, 0, 0, 4, 4, 4, 4, 4, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 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, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 12, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 5, 5, 5, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 6, 6, 6, 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 ]
[ 465, 5237, 203, 465, 31074, 203, 465, 49098, 203, 1070, 3363, 1188, 44524, 203, 1070, 540, 1247, 81, 1538, 101, 32, 5558, 32, 1538, 101, 32, 1538, 545, 826, 101, 1188, 319, 203, 1070, 540, 1247, 81, 1538, 101, 32, 5558, 32, 1538, 101, 32, 2304, 1188, 622, 81, 9404, 81, 1070, 81, 21114, 203, 50, 7799, 440, 9404, 657, 203, 823, 44456, 1486, 26, 65, 4849, 1486, 711, 284, 665, 1487, 81, 1580, 26, 784, 711, 291, 1459, 440, 621, 28, 261, 1476, 546, 13130, 21593, 7925, 32, 1297, 81, 1580, 657, 291, 442, 622, 81, 9404, 81, 1070, 81, 21114, 26, 784, 32, 21114, 27, 203, 50, 7799, 440, 1538, 96, 31, 1490, 7925, 657, 203, 823, 546, 13130, 21593, 7925, 26, 65, 4849, 1486, 711, 284, 443, 617, 65, 13130, 21593, 7925, 26, 38589, 27950, 13976, 711, 291, 665, 1156, 1664, 3207, 784, 30, 20217, 711, 324, 630, 32, 9404, 280, 622, 81, 9404, 81, 1070, 81, 21114, 26, 21114, 27, 324, 630, 32, 1819, 280, 2149, 324, 630, 32, 18138, 280, 1665, 324, 630, 32, 4432, 81, 2816, 280, 3177, 324, 630, 32, 28988, 280, 1665, 324, 630, 32, 4817, 280, 1665, 291, 665, 5352, 81, 4432, 81, 2816, 26, 784, 30, 786, 47, 1815, 711, 324, 630, 32, 4432, 81, 2816, 280, 1560, 26, 853, 27, 291, 665, 739, 81, 18138, 26, 784, 30, 19952, 30, 2443, 81, 1959, 347, 18138, 392, 715, 3408, 81, 2630, 47, 2521, 711, 324, 630, 32, 18138, 280, 19952, 324, 630, 32, 3789, 81, 1959, 280, 2443, 81, 1959, 324, 630, 32, 2035, 81, 2630, 280, 3408, 81, 2630, 291, 665, 739, 81, 19186, 81, 4817, 26, 784, 30, 6234, 47, 2521, 711, 324, 630, 32, 4817, 280, 6234, 291, 665, 1420, 26, 784, 30, 4774, 30, 6410, 33792, 2181, 33792, 12532, 47, 3731, 32, 9362, 30, 400, 16154, 47, 3731, 32, 8228, 30, 3636, 81, 267, 81, 731, 47, 1815, 711, 324, 630, 32, 28988, 280, 630, 32, 28988, 556, 1605, 324, 415, 630, 32, 4432, 81, 2816, 44, 400, 4774, 280, 31074, 32, 5074, 14141, 769, 313, 614, 6410, 30, 428, 3515, 614, 2181, 27, 400, 630, 32, 28988, 32, 1689, 440, 4939, 2524, 26, 3515, 490, 400, 442, 324, 415, 630, 32, 18138, 44, 400, 4774, 81, 4254, 280, 1605, 400, 415, 630, 32, 3789, 81, 1959, 610, 313, 18138, 563, 528, 630, 32, 28988, 32, 1689, 5791, 904, 101, 33, 18138, 32, 899, 20, 904, 630, 32, 18138, 27, 400, 4348, 630, 32, 3789, 81, 1959, 610, 313, 4205, 563, 528, 4774, 81, 4254, 280, 3037, 9860, 6382, 2299, 337, 13130, 31, 19821, 31, 4603, 1446, 400, 4348, 630, 32, 3789, 81, 1959, 610, 313, 18960, 563, 528, 415, 630, 32, 2035, 81, 2630, 44, 715, 4774, 81, 4254, 280, 3037, 9860, 6382, 2299, 313, 474, 630, 32, 2035, 81, 2630, 79, 528, 813, 44, 715, 4774, 81, 4254, 280, 3037, 9860, 1446, 400, 415, 4774, 610, 313, 4775, 563, 528, 4774, 81, 4254, 32, 1689, 440, 225, 337, 4849, 31, 725, 7925, 429, 102, 7788, 400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 4, 4, 6, 6, 1, 2, 2, 3, 3, 4, 4, 4, 3, 2, 2, 4, 5, 5, 5, 6, 5, 4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 10, 9, 10, 8, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 4, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 6, 7, 7, 8, 7, 7, 7, 6, 6, 10, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 12, 11, 7, 7, 10, 11, 9, 9, 7, 7, 10, 11, 9, 9, 7, 7, 10, 11, 11, 11, 9, 9, 7, 7, 10, 11, 9, 9, 7, 7, 10, 11, 9, 9, 5, 5, 6, 7, 7, 7, 7, 7, 8, 7, 7, 8, 9, 7, 6, 6, 10, 11, 11, 11, 9, 9, 11, 12, 11, 5, 5, 6, 7, 7, 7, 8, 7, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 9, 9, 8, 9, 7, 6, 6, 10, 11, 9, 9, 7, 7, 10, 11, 11, 11, 9, 9, 10, 10, 7, 7, 10, 11, 11, 11, 9, 9, 10, 10, 5, 5, 6, 7, 7, 7, 7, 7, 8, 7, 7, 8, 9, 7, 6, 6, 10, 11, 9, 9, 5, 5, 6, 7, 8, 7, 7, 7, 7, 8, 7, 8, 7, 8, 10, 9, 10, 7, 7, 7, 8, 10, 9, 10, 7, 7, 9, 9, 9, 9, 8, 9, 7, 6, 6, 10, 11, 9, 9, 11, 12, 10, 10, 7, 7, 8, 9, 10, 10, 10, 8, 8, 8, 11, 11, 13, 14, 13, 16, 16, 14, 13, 13, 13, 15, 14, 13, 13, 9, 9, 13, 14, 12, 13, 12, 16, 15, 14, 15, 14, 9, 9, 7, 7, 8, 9, 10, 8, 8, 8, 12, 12, 11, 11, 9, 9, 10, 12, 13, 13, 13, 11, 11, 13, 13, 10, 10, 15, 16, 14, 15, 14, 17, 17, 17, 17, 17, 17, 17, 15, 15, 16, 17, 14, 10, 10, 11, 13, 14, 14, 14, 12, 12, 14, 14, 11, 11, 15, 15, 14, 14, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 10, 10, 11, 13, 14, 14, 14, 12, 12, 14, 14, 11, 11, 13, 14, 15, 15, 15, 13, 13, 13, 17, 17, 16, 16, 20, 20, 20, 20, 18, 18, 19, 20, 20, 20, 17, 13, 13, 14, 14, 14, 18, 18, 17, 17, 20, 20, 9, 9, 10, 11, 11, 13, 13, 10, 10, 15, 15, 14, 15, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 6, 4, 4, 0, 5, 5, 0, 0, 0, 0, 1, 2, 1, 4, 4, 1, 6, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 6, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 1, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 3, 3, 0, 2, 0, 0, 4, 4, 4, 2, 1, 2, 2, 2, 2, 5, 2, 7, 2, 9, 0, 2, 2, 2, 2, 2, 11, 0, 2, 2, 2, 2, 0, 0, 0, 0, 13, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 3, 3, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 3, 3, 4, 4, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 4, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 2, 2, 2, 1, 1, 1, 2, 5, 5, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]
[ 465, 7060, 203, 465, 1133, 203, 465, 341, 13570, 1295, 619, 15396, 203, 1070, 540, 11797, 32, 464, 1704, 81, 2304, 1188, 40631, 43, 40, 42, 39, 203, 1070, 540, 11797, 32, 464, 1704, 81, 2304, 1188, 40483, 3281, 295, 619, 8194, 101, 203, 5875, 280, 225, 34, 203, 19542, 280, 225, 35, 203, 10843, 280, 15396, 32, 10843, 203, 10840, 280, 15396, 32, 10840, 203, 15845, 81, 3197, 81, 11842, 225, 280, 225, 34, 264, 203, 15845, 81, 3197, 81, 16840, 261, 280, 225, 35, 264, 203, 15845, 81, 3197, 81, 22918, 225, 280, 225, 36, 261, 203, 15845, 81, 3197, 81, 10784, 261, 280, 225, 37, 261, 203, 15845, 81, 3197, 81, 635, 280, 225, 38, 203, 3197, 81, 43756, 81, 48513, 280, 225, 36, 34, 203, 1001, 10906, 280, 225, 34, 203, 10504, 9514, 280, 225, 35, 203, 4241, 280, 428, 39, 30, 225, 34, 30, 225, 35, 30, 225, 36, 30, 225, 37, 79, 225, 203, 521, 280, 428, 36, 35, 30, 225, 36, 36, 30, 225, 36, 40, 30, 225, 36, 37, 79, 225, 203, 792, 1310, 29608, 1102, 81, 26088, 202, 47, 225, 37, 225, 203, 792, 1310, 29608, 1102, 81, 44481, 280, 225, 36, 37, 225, 203, 35823, 43, 40, 42, 39, 280, 40631, 43, 40, 42, 39, 346, 203, 338, 2692, 280, 8194, 101, 26, 792, 1310, 29608, 1102, 81, 26088, 30, 792, 1310, 29608, 1102, 81, 44481, 27, 203, 589, 4705, 2262, 284, 15396, 32, 105, 13570, 12547, 6435, 346, 10065, 436, 595, 328, 2155, 26, 1657, 26, 4241, 8531, 291, 15396, 32, 7173, 2101, 26, 4241, 77, 91, 614, 10843, 27, 291, 15396, 32, 19689, 2538, 26, 4241, 77, 91, 614, 29077, 27, 284, 436, 595, 328, 2155, 26, 1657, 26, 521, 8531, 291, 15396, 32, 7173, 2101, 26, 521, 77, 91, 614, 10840, 27, 203, 589, 1505, 81, 338, 2692, 2262, 203, 202, 1285, 882, 47, 338, 2692, 32, 8018, 346, 203, 202, 1216, 440, 8457, 6069, 32, 36, 88, 78, 102, 15860, 1285, 882, 27, 203, 589, 2125, 26, 3039, 711, 284, 202, 3264, 2738, 10906, 203, 202, 325, 5269, 379, 34, 44, 357, 202, 35823, 43, 40, 42, 39, 32, 1704, 81, 7543, 473, 357, 202, 1003, 32, 7840, 26, 36, 34, 293, 357, 202, 35823, 43, 40, 42, 39, 32, 4048, 473, 203, 202, 12106, 5269, 379, 225, 35, 44, 357, 202, 35823, 43, 40, 42, 39, 32, 1704, 81, 975, 473, 357, 202, 1003, 32, 7840, 26, 36, 34, 293, 357, 202, 35823, 43, 40, 42, 39, 32, 4048, 473, 203, 202, 12106, 5269, 379, 225, 36, 44, 357, 202, 5159, 32, 19689, 2538, 26, 4241, 77, 34, 614, 37371, 293, 357, 202, 1003, 32, 7840, 26, 36, 34, 293, 357, 202, 5159, 32, 19689, 2538, 26, 4241, 77, 34, 614, 29077, 293, 357, 202, 1003, 32, 7840, 26, 36, 34, 293, 357, 202, 5159, 32, 19689, 2538, 26, 4241, 77, 34, 614, 37371, 293, 357, 202, 1003, 32, 7840, 26, 36, 34, 293, 357, 202, 5159, 32, 19689, 2538, 26, 4241, 77, 34, 614, 29077, 293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 4, 4, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 4, 0, 3, 2, 2, 3, 4, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 0, 3, 2, 2, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 0, 0, 3, 2, 2, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 0, 1, 1, 2, 1, 1, 5, 6, 6, 6, 6, 5, 2, 2, 3, 3, 3, 5, 7, 7, 8, 7, 3, 3, 7, 8, 8, 7, 9, 8, 9, 8, 8, 7, 4, 4, 7, 8, 8, 7, 9, 8, 9, 8, 7, 7, 2, 2, 3, 3, 3, 5, 7, 7, 8, 7, 3, 3, 7, 8, 8, 7, 9, 8, 9, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 4, 7, 7, 6, 7, 6, 2, 2, 5, 5, 8, 8, 8, 8, 8, 9, 9, 8, 7, 7, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3, 4, 0, 0, 1, 1, 2, 3, 1, 1, 1, 6, 6, 6, 6, 6, 5, 6, 6, 6, 5, 2, 2, 6, 5, 6, 5, 6, 6, 5, 2, 2, 6, 6, 6, 6, 6, 5, 6, 5, 1, 1, 2, 2, 3, 3, 4, 2, 2, 2, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 3, 3, 7, 6, 7, 6, 7, 7, 6, 3, 3, 7, 7, 7, 7, 7, 6, 7, 6, 1, 1, 2, 2, 3, 3, 4, 2, 2, 2, 7, 6, 7, 7, 6, 8, 7, 8, 7, 6, 6, 3, 3, 7, 6, 7, 6, 7, 7, 6, 3, 3, 7, 6, 7, 7, 6, 8, 7, 8, 7, 6, 6, 3, 3, 7, 6, 7, 6, 7, 7, 6, 3, 3, 7, 6, 7, 7, 6, 8, 7, 8, 7, 6, 6, 3, 3, 7, 6, 7, 6, 7, 7, 6, 3, 3, 7, 6, 7, 7, 6, 8, 7, 8, 7, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 3, 3, 0, 1, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 2, 2, 2, 4, 4, 0, 0, 3, 3, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 0, 23, 23, 2, 23, 23, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 3, 1, 5, 5, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 3, 1, 0, 24, 24, 1, 1, 1, 2, 24, 24, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 25, 25, 2, 1, 2, 25, 25, 0, 0, 1, 0, 0, 26, 26, 1, 2, 26, 26, 26, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 26, 26, 4, 4, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 26, 26, 5, 5, 1, 1, 2, 5, 5, 5, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1 ]
[ 1070, 273, 16826, 107, 32, 731, 1188, 394, 16826, 924, 203, 465, 3995, 203, 465, 316, 203, 1070, 660, 1188, 319, 203, 1070, 8153, 1188, 319, 203, 1070, 47774, 1188, 47774, 203, 465, 7138, 203, 465, 5741, 203, 1070, 2330, 1188, 1390, 2554, 203, 7490, 32, 6390, 1063, 26, 2649, 47, 3602, 10729, 27, 203, 1237, 280, 1665, 203, 33971, 11267, 26, 96, 611, 339, 11606, 3341, 1120, 2262, 334, 1156, 426, 505, 280, 313, 2333, 2185, 11606, 3341, 1120, 19284, 334, 3649, 4125, 334, 3497, 280, 4125, 32, 289, 346, 334, 1596, 44, 284, 415, 646, 3497, 32, 426, 610, 26836, 81, 2474, 44, 397, 4125, 32, 1877, 81, 1517, 26, 8758, 81, 8037, 27, 397, 4125, 32, 1877, 81, 3959, 26, 426, 47, 10829, 81, 2474, 27, 397, 5741, 32, 1338, 4912, 101, 44, 28710, 11281, 4414, 1156, 426, 8223, 334, 2940, 394, 16826, 924, 30, 484, 44, 284, 5741, 32, 731, 4912, 101, 44, 904, 101, 392, 1156, 426, 7642, 484, 32, 10354, 27, 203, 589, 15574, 4625, 6044, 2262, 334, 1156, 426, 505, 280, 313, 8675, 4625, 6044, 19284, 334, 3649, 4125, 334, 4558, 81, 314, 280, 4125, 32, 496, 81, 16471, 8532, 34, 997, 314, 334, 5741, 32, 2811, 4912, 101, 44, 11313, 2364, 804, 44, 904, 86, 392, 1156, 426, 7642, 4558, 81, 314, 27, 334, 1596, 44, 284, 442, 4125, 32, 2833, 81, 16471, 26, 8119, 81, 314, 47, 8119, 81, 314, 27, 334, 2940, 394, 16826, 924, 30, 484, 44, 284, 5741, 32, 731, 4912, 101, 44, 904, 101, 392, 1156, 426, 7642, 484, 32, 10354, 27, 284, 442, 3177, 203, 589, 10276, 1054, 2185, 32922, 1562, 9259, 26, 1517, 30, 1795, 711, 5235, 1156, 426, 505, 280, 313, 25349, 2185, 32922, 1562, 9259, 19284, 334, 3649, 4125, 203, 21, 32874, 5364, 14839, 3318, 6372, 37932, 44142, 26230, 4730, 142, 9397, 426, 280, 2287, 32, 2116, 32, 3258, 20, 474, 2287, 32, 2116, 32, 4458, 81, 426, 474, 313, 313, 474, 1795, 334, 588, 26230, 4730, 142, 6088, 334, 341, 4252, 758, 81, 13681, 44, 284, 1596, 44, 397, 4125, 32, 1877, 81, 1517, 26, 18752, 81, 21334, 30, 328, 81, 8443, 37657, 629, 26, 1517, 32, 314, 490, 397, 5741, 32, 2811, 4912, 101, 44, 886, 2412, 26756, 1597, 7504, 21464, 48, 6611, 101, 13042, 15607, 1156, 426, 7642, 14186, 81, 21334, 27, 397, 442, 2933, 284, 2940, 394, 16826, 924, 30, 484, 44, 397, 5741, 32, 731, 26, 87, 32, 10354, 27, 397, 1048, 81, 4680, 1454, 225, 35, 334, 5741, 32, 731, 4912, 101, 44, 12228, 372, 2364, 904, 86, 6496, 32, 34688, 318, 4414, 1156, 426, 7642, 7893, 81, 13681, 27, 334, 442, 3177, 203, 589, 3456, 2185, 9259, 705, 11506, 5095, 26, 3524, 81, 4458, 81, 426, 30, 2287, 711, 334, 1156, 426, 505, 280, 313, 2140, 2185, 9259, 705, 11506, 5095, 19284, 334, 3649, 4125, 334, 1048, 81, 4680, 280, 225, 34, 334, 588, 691, 139, 12343, 5577, 1635, 254, 2497, 13385, 3928, 22308, 3832, 10964, 3816, 334, 415, 2287, 32, 266, 81, 8443, 81, 452, 81, 4458 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 4, 3, 4, 4, 3, 5, 4, 5, 5, 3, 0, 3, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 4, 4, 4, 4, 1, 2, 2, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 5, 4, 3, 1, 3, 1, 1, 1, 6, 6, 6, 6, 4, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 2, 5, 5, 5, 5, 4, 6, 6, 6, 6, 4, 5, 5, 5, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 6, 6, 6, 6, 4, 5, 5, 5, 4, 6, 6, 6, 2, 4, 4, 4, 4, 4, 2, 3, 3, 3, 2, 4, 4, 4, 4, 4, 3, 2, 3, 3, 3, 3, 3, 2, 7, 7, 7, 7, 7, 6, 4, 4, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 2, 3, 2, 2, 2, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 6, 6, 6, 6, 4, 5, 5, 5, 4, 6, 6, 2, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 2, 2, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 3, 2, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 9, 2, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 6, 6, 2, 2, 3, 3, 3, 3, 2, 2, 2, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 4, 5, 5, 5, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 5, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 2, 2 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 8, 8, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 1, 11, 3, 3, 3, 11, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 4, 4, 3, 1, 11, 0, 11, 11, 11, 0, 0, 2, 2, 1, 2, 2, 2, 8, 8, 0, 2, 2, 2, 2, 1, 1, 1, 1, 8, 8, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 8, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 3, 3, 3, 8, 8, 6, 6, 6, 6, 8, 8, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 8, 0, 0, 0, 0, 1, 8, 14, 14, 14, 8, 1, 1, 1, 1, 1, 17, 8, 18, 19, 19, 19, 19, 8, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 5, 5, 5, 5, 5, 8, 23, 8, 8, 8, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 8, 8, 28, 28, 28, 28, 8, 8, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 8, 33, 34, 34, 8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 8, 8, 38, 38, 38, 8, 1, 1, 1, 1, 1, 1, 1, 41, 8, 42, 42, 42, 11, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 10, 10, 10, 0, 0, 0, 0, 11, 11, 11, 11, 11, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 5, 5, 5, 5, 11, 11, 11, 11, 6, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 0, 2, 2, 2, 2, 2, 2, 11, 11, 14, 14, 14, 14, 11, 11, 11, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 5, 18, 18, 11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 11, 23, 23, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 11, 11, 11, 11, 26, 26, 26, 26, 11, 27, 27, 27, 11, 28, 28, 28, 28, 28, 11, 11, 13, 13 ]
[ 1070, 18971, 1188, 24014, 30, 1326, 30, 2908, 81, 2387, 203, 465, 1133, 203, 465, 7138, 203, 465, 14777, 203, 725, 280, 24014, 4064, 426, 8223, 203, 725, 32, 2811, 280, 2933, 225, 203, 50, 725, 32, 4351, 32087, 203, 589, 17964, 2262, 284, 442, 313, 8279, 10896, 11555, 203, 50, 725, 32, 4351, 4207, 4785, 81, 1433, 657, 203, 589, 14188, 81, 1433, 2262, 203, 202, 465, 5237, 203, 202, 465, 3586, 38789, 81, 54, 1953, 203, 202, 48251, 30, 13587, 280, 3586, 38789, 81, 54, 1953, 32, 850, 81, 13558, 26, 1768, 38789, 81, 54, 1953, 32, 2210, 36, 37, 34, 36, 30, 225, 38, 27, 203, 202, 325, 21981, 23611, 438, 646, 1665, 461, 13587, 438, 646, 1665, 44, 357, 202, 601, 2908, 81, 2387, 440, 4785, 81, 1433, 32, 916, 392, 1433, 47, 17473, 30, 22566, 47, 48251, 27, 203, 202, 1824, 44, 357, 202, 601, 2908, 81, 2387, 440, 1347, 81, 12601, 32, 916, 657, 203, 50, 725, 32, 4351, 4207, 4785, 81, 2121, 81, 1199, 392, 4438, 11414, 2788, 3490, 261, 203, 589, 14188, 81, 2121, 81, 1199, 2262, 203, 202, 17473, 101, 30, 21981, 314, 2105, 30, 22158, 30, 645, 81, 770, 81, 466, 30, 372, 81, 770, 81, 466, 280, 622, 81, 11541, 346, 203, 202, 1003, 81, 46120, 81, 17473, 101, 280, 1605, 203, 202, 1003, 81, 46120, 81, 22566, 314, 2105, 261, 280, 1605, 203, 202, 979, 3627, 328, 13587, 101, 44, 357, 202, 1696, 81, 1003, 770, 280, 14777, 32, 371, 26, 4133, 77, 34, 614, 313, 18103, 31, 2826, 31, 2918, 21631, 44, 2840, 1895, 452, 26, 18218, 27, 357, 202, 1003, 81, 46120, 81, 17473, 101, 32, 1689, 2009, 1696, 81, 1003, 770, 32, 1643, 463, 18103, 31, 2826, 31, 2918, 21631, 44, 2840, 1425, 7818, 26, 4133, 77, 36, 614, 36, 14829, 203, 202, 979, 3627, 328, 21981, 314, 2105, 44, 357, 202, 1696, 81, 1003, 770, 280, 14777, 32, 371, 26, 4133, 77, 34, 614, 313, 18103, 31, 2826, 31, 2918, 21631, 44, 2840, 1895, 452, 26, 18218, 27, 357, 202, 1003, 81, 46120, 81, 22566, 314, 2105, 32, 1689, 2009, 1696, 81, 1003, 770, 32, 1643, 463, 18103, 31, 2826, 31, 2918, 21631, 44, 2840, 1425, 7818, 26, 4133, 77, 36, 614, 36, 14829, 203, 202, 1216, 313, 25502, 14188, 81, 2121, 81, 1199, 32, 916, 623, 44, 904, 101, 30, 904, 101, 30, 904, 101, 20, 904, 308, 18218, 30, 645, 81, 770, 81, 466, 30, 372, 81, 770, 81, 466, 27, 203, 202, 601, 2908, 81, 2387, 440, 4785, 81, 2121, 81, 1199, 32, 916, 392, 202, 18218, 202, 202, 47, 22158, 30, 9239, 202, 1433, 10885, 202, 47, 1133, 81, 46120, 81, 17473, 101, 30, 9239, 202, 22566, 10885, 202, 47, 1133, 81, 46120, 81, 22566, 314, 2105, 30, 225, 9239, 202, 1070, 81, 770, 4222, 202, 47, 645, 81, 770, 81, 466, 30, 225, 9239, 202, 452, 81, 770, 4222, 202, 47, 372, 81, 770, 81, 466, 30, 9239, 202, 1433, 81, 3028, 4222, 202, 47, 2069, 26, 17473, 101, 471, 9239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 5, 0, 4, 3, 4, 2, 2, 0, 0, 2, 5, 4, 5, 4, 1, 2, 2, 3, 2, 2, 4, 6, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 6, 6, 6, 6, 3, 3, 7, 6, 6, 5, 5, 8, 8, 8, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 8, 7, 3, 3, 4, 4, 7, 6, 6, 6, 5, 5, 6, 6, 6, 4, 4, 4, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 9, 10, 8, 10, 9, 10, 8, 4, 4, 5, 5, 5, 5, 7, 7, 9, 9, 9, 11, 11, 11, 11, 11, 11, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 4, 5, 8, 8, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 7, 7, 6, 6, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 5, 5, 7, 7, 7, 3, 3, 6, 6, 6, 6, 6, 6, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 8, 8, 8, 8, 7, 7, 11, 12, 11, 13, 12, 13, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 9, 10, 9, 5, 5, 9, 9, 9, 9, 9, 9, 8, 9, 8, 12, 12, 12, 12, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 11, 13, 12, 13, 12, 12, 11, 3, 3, 4, 4, 4, 4, 5, 5, 4, 4, 4, 8, 8, 8, 8, 7, 7, 11, 12, 11, 13, 12, 13, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 9, 10, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 12, 12, 12, 12, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 11, 13, 12, 13, 12, 12, 11, 3, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 3, 3, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 7, 7, 7, 7, 6, 6, 6, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 6, 6, 6, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 6, 6, 6, 6, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 7, 7, 7, 7, 9, 10, 10, 9, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 6, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 1, 4, 4, 3, 3, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 3, 2, 1, 0, 5, 2, 1, 3, 3, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 8, 8, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 3, 1, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 3, 1, 4, 4, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 4, 4, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 3, 3, 3, 1, 1, 1, 0, 5, 5, 5, 5, 2, 2, 2, 2, 2, 1, 1, 1, 0, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 9, 9, 9, 9, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 11, 11, 11, 11, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 13, 13, 13, 13, 1, 1, 1, 1, 1 ]
[ 1070, 5741, 1188, 622, 3703, 203, 1070, 3995, 1188, 11655, 30, 10477, 410, 30, 3995, 30, 20564, 203, 1070, 3312, 32, 25500, 32, 1199, 81, 2516, 1188, 308, 284, 5069, 30, 284, 7687, 30, 284, 23501, 30, 284, 8174, 30, 284, 2854, 30, 284, 37075, 11678, 30, 284, 18378, 27, 203, 1070, 3312, 32, 25500, 32, 1217, 1188, 308, 284, 14621, 11153, 30, 284, 14621, 5495, 30, 284, 6645, 30, 284, 19891, 6136, 2101, 30, 284, 14614, 11153, 27, 203, 1070, 3312, 32, 25500, 32, 22495, 1188, 308, 284, 2244, 32337, 19853, 30, 284, 2244, 32337, 1534, 30, 284, 2244, 32337, 3472, 882, 30, 284, 2244, 32337, 40936, 30, 284, 2244, 32337, 3267, 882, 30, 284, 2244, 32337, 27577, 30, 284, 2244, 32337, 2708, 30, 284, 2244, 32337, 2928, 30, 284, 2244, 32337, 4934, 30, 284, 4239, 30, 284, 5612, 35984, 30, 284, 21697, 30, 284, 570, 8162, 11546, 30, 284, 570, 8162, 11546, 1527, 2259, 30, 284, 1670, 30, 284, 701, 30, 284, 3611, 32460, 1792, 30, 284, 3611, 1337, 32460, 1792, 30, 284, 3611, 1337, 32460, 1792, 3397, 30, 284, 12576, 11546, 30, 284, 12576, 11546, 1527, 2259, 30, 284, 3182, 2259, 30, 284, 3182, 383, 30, 284, 4647, 30, 284, 12012, 19172, 27, 203, 1070, 3312, 32, 25500, 32, 3855, 81, 695, 81, 7101, 1188, 9500, 1402, 4815, 203, 1413, 48389, 81, 21320, 1345, 1392, 280, 12012, 19172, 32, 1413, 48389, 81, 21320, 1345, 1392, 203, 21320, 1345, 1392, 280, 12012, 19172, 32, 21320, 1345, 1392, 203, 13926, 81, 9317, 280, 12012, 19172, 32, 13926, 81, 9317, 203, 38037, 1392, 280, 12012, 19172, 32, 38037, 1392, 203, 1413, 48389, 81, 38037, 1392, 280, 12012, 19172, 32, 1413, 48389, 81, 38037, 1392, 203, 3602, 280, 622, 3703, 346, 203, 823, 4101, 4290, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 711, 284, 630, 1114, 11206, 280, 301, 291, 330, 3459, 81, 3567, 635, 1345, 81, 15013, 81, 7498, 950, 308, 34, 30, 225, 36, 471, 291, 330, 3459, 81, 3567, 635, 1345, 81, 17793, 81, 7498, 950, 308, 34, 30, 225, 36, 471, 291, 330, 4620, 81, 10941, 81, 7498, 950, 308, 35, 30, 225, 39, 471, 291, 330, 12003, 81, 6947, 81, 7498, 950, 308, 35, 30, 225, 37, 471, 291, 330, 6947, 81, 7498, 950, 308, 35, 30, 225, 36, 471, 291, 330, 39861, 24010, 1102, 81, 815, 1192, 81, 62, 1614, 81, 10158, 950, 308, 35, 30, 225, 35, 34, 34, 471, 291, 330, 39861, 24010, 1102, 81, 18362, 81, 10158, 950, 308, 35, 30, 225, 35, 34, 34, 471, 291, 330, 2631, 81, 20866, 81, 29756, 950, 308, 35, 30, 225, 35, 34, 4370, 284, 630, 1114, 9582, 280, 301, 291, 330, 4620, 81, 10941, 81, 24276, 950, 301, 324, 330, 38440, 950, 225, 37, 30, 324, 330, 39861, 24010, 1102, 950, 225, 35, 30, 324, 330, 30160, 950, 225, 35, 34, 835, 291, 330, 15630, 950, 301, 324, 5069, 44, 225, 35, 30, 324, 7687, 44, 225, 35, 30, 324, 23501, 44, 225, 35, 30, 324, 8174, 44, 225, 35, 30, 324, 2854, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 0, 3, 3, 2, 2, 4, 3, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 9, 9, 10, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 9, 9, 10, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 9, 9, 10, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 9, 9, 10, 9, 7, 7, 10, 10, 10, 10, 8, 10, 9, 9, 10, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 9, 9, 10, 10, 10, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 9, 9, 10, 10, 10, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 9, 9, 10, 10, 9, 4, 4, 7, 8, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 9, 9, 12, 12, 10, 11, 9, 9, 9, 12, 12, 12, 12, 10, 11, 9, 9, 9, 12, 12, 10, 11, 11, 9, 7, 7, 10, 10, 8, 9, 9, 10, 10, 11, 9, 9, 9, 10, 10, 11, 9, 9, 9, 10, 10, 11, 9, 9, 9, 10, 10, 11, 9, 9, 9, 10 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 4, 0, 5, 5, 1, 2, 1, 4, 4, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 2, 9, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 1, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 13, 1, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 2, 15, 1, 2, 2, 3, 3, 2, 4, 4, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 7, 7, 2, 2, 2, 2, 9 ]
[ 465, 7744, 203, 465, 18792, 203, 465, 6436, 619, 2065, 203, 465, 14785, 619, 5239, 203, 1070, 1168, 6787, 32, 2304, 1188, 619, 1808, 203, 1070, 1168, 6787, 32, 11452, 1188, 308, 284, 15200, 2798, 924, 30, 284, 20749, 20356, 924, 30, 203, 27, 203, 1070, 1168, 6787, 1188, 11583, 30, 17240, 30, 3219, 203, 1070, 1695, 1188, 3772, 7233, 203, 1070, 18564, 1188, 4281, 81, 15210, 203, 823, 35186, 4772, 4358, 7233, 26, 1761, 7233, 711, 284, 665, 894, 81, 8362, 81, 1823, 81, 1793, 103, 366, 81, 12810, 26, 784, 711, 291, 1509, 81, 1823, 280, 11583, 32, 1612, 26, 35, 34, 27, 291, 1688, 81, 1823, 280, 11583, 32, 9420, 26, 36, 30, 7533, 47, 34, 32, 35, 30, 15606, 47, 2521, 27, 291, 3984, 280, 11583, 32, 2524, 26, 1131, 81, 1823, 30, 1688, 81, 1823, 27, 291, 1509, 81, 853, 280, 619, 1808, 26, 2356, 32, 5783, 1162, 35, 30, 225, 35, 34, 2610, 291, 4648, 81, 2024, 280, 630, 32, 6569, 26, 4573, 32, 2024, 26, 1131, 81, 853, 490, 291, 2799, 81, 2024, 280, 2065, 32, 5783, 1162, 35, 30, 225, 36, 490, 291, 2065, 32, 4266, 32, 862, 81, 955, 81, 37368, 81, 2228, 26, 3140, 81, 2024, 30, 4648, 81, 2024, 27, 284, 665, 894, 81, 3893, 26, 784, 711, 291, 623, 630, 32, 23895, 26, 18082, 711, 324, 11583, 32, 9420, 26, 36, 30, 7533, 47, 2521, 27, 284, 665, 894, 81, 13707, 81, 12655, 81, 891, 26, 784, 711, 291, 5396, 280, 11583, 32, 11972, 23218, 346, 291, 630, 32, 5299, 440, 11972, 23218, 26, 426, 1057, 35237, 31, 35, 683, 392, 596, 26, 1823, 490, 284, 665, 894, 81, 13707, 81, 1793, 81, 891, 26, 784, 711, 291, 5396, 35, 280, 11583, 32, 11972, 23218, 26, 35, 37, 27, 291, 630, 32, 5299, 26, 324, 596, 26, 1823, 35, 471, 324, 308, 400, 313, 11972, 23218, 26, 35, 37, 30, 7533, 47, 1331, 5947, 26, 19512, 47, 35, 32, 34, 471, 313, 400, 313, 12810, 47, 5465, 26, 34, 471, 636, 1057, 35237, 31, 35, 27059, 324, 829, 291, 829, 284, 665, 894, 81, 9578, 26, 784, 711, 291, 3984, 280, 11583, 32, 2524, 26, 324, 11583, 32, 1612, 26, 36, 471, 324, 11583, 32, 11972, 23218, 26, 37, 30, 636, 1057, 35237, 1425, 291, 829, 291, 630, 32, 862, 7167, 1324, 26, 4573, 32, 1823, 463, 35237, 1814, 9578, 30, 12797, 291, 3984, 32, 10931, 291, 4886, 280, 3984, 32, 1823, 463, 35237, 1814, 9578, 291, 630, 32, 862, 5897, 1324, 26, 324, 8594, 26, 9578, 32, 3494, 6182, 324, 2107, 12810, 370, 330, 3292, 3490, 291, 630, 32, 862, 26608, 1324, 26, 9578, 710, 12810, 5695, 3229, 30, 308, 37, 33702, 291, 630, 32, 862, 26608, 1324, 26, 9578, 710, 3292, 5695, 3229, 30, 308, 36, 30, 225, 37, 490, 284, 665, 894, 81, 7815, 81, 45859, 81, 979, 81, 12565, 81, 8075, 26, 784, 711, 291, 7806, 280, 11583, 32, 13449, 26, 324, 11583, 32, 1612, 26, 35, 471, 324, 11583, 32, 1612, 26, 36, 471, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 8, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 11, 10, 11, 10, 12, 11, 11, 12, 12, 11, 4, 4, 7, 7, 6, 6, 8, 9, 8, 11, 10, 11, 10, 11, 11, 11, 10, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 9, 9, 10, 9, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 10, 9, 5, 5, 9, 10, 9, 10, 9, 9, 10, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 9, 8, 9, 9, 8, 4, 4, 7, 8, 7, 7, 7, 9, 10, 10, 9, 7, 7, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 8, 8, 10, 11, 10, 11, 10, 8, 8, 10, 11, 11, 10, 11, 10, 10, 11, 13, 13, 8, 8, 4, 4, 7, 8, 8, 8, 7, 11, 10, 11, 10, 12, 12, 9, 7, 7, 4, 4, 6, 7, 4, 4, 6, 6, 9, 10, 9, 11, 11, 8, 4, 4, 7, 8, 8, 8, 7, 7, 7, 9, 12, 11, 12, 11, 7, 7, 10, 10, 8, 10, 10, 4, 4, 7, 8, 8, 8, 7, 10, 9, 11, 11, 9, 7, 7, 9, 8, 4, 4, 7, 8, 8, 8, 7, 10, 9, 11, 11, 9, 7, 7, 9, 8, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 8, 8, 10, 11, 10, 11, 10, 8, 8, 10, 11, 10, 11, 10, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 1, 1, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 7, 7, 7, 7, 0, 0, 8, 8, 8, 8, 0, 0, 0, 9, 9, 1, 1, 1, 2, 1, 1, 2, 9, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 3, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 3, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 3, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 3, 3, 3, 3, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1 ]
[ 465, 13625, 203, 465, 42406, 203, 465, 2322, 203, 465, 29590, 203, 1070, 43008, 32, 5178, 1188, 48418, 619, 23133, 203, 1070, 20894, 1114, 731, 1188, 570, 924, 203, 1070, 20894, 32, 6319, 1188, 570, 4520, 24169, 1954, 30, 3194, 930, 30, 38092, 203, 1070, 20894, 32, 6319, 32, 57, 4520, 24169, 1954, 1188, 447, 782, 1954, 203, 1070, 19224, 387, 32, 8774, 1188, 622, 81, 496, 81, 2613, 81, 1515, 203, 13584, 8924, 280, 13625, 32, 426, 41766, 463, 13584, 8924, 370, 2107, 7318, 370, 330, 12301, 3490, 203, 823, 41521, 8077, 1572, 44, 284, 617, 6281, 81, 998, 280, 2322, 32, 6281, 81, 998, 346, 284, 415, 617, 6281, 81, 998, 438, 1665, 44, 291, 617, 6281, 81, 998, 280, 225, 35, 284, 4348, 617, 6281, 81, 998, 848, 225, 35, 44, 291, 617, 6281, 81, 998, 5912, 225, 35, 284, 617, 3426, 81, 5178, 280, 23133, 2176, 6281, 81, 998, 27, 284, 617, 2613, 280, 2149, 284, 665, 1156, 1664, 3207, 784, 30, 7622, 47, 1815, 711, 291, 2599, 26, 24345, 1572, 30, 630, 14585, 1664, 16369, 291, 630, 32, 12301, 81, 2157, 280, 41521, 8077, 2780, 26, 9365, 47, 9365, 27, 291, 4269, 81, 4661, 280, 38092, 32, 2913, 6532, 32, 371, 81, 1536, 346, 291, 630, 32, 731, 81, 1566, 280, 4269, 81, 4661, 32, 10122, 81, 1566, 440, 5952, 31, 731, 392, 225, 36, 39, 40, 30, 15607, 34, 547, 371, 81, 3607, 346, 291, 630, 32, 1536, 81, 1566, 280, 4269, 81, 4661, 32, 10122, 81, 1566, 440, 893, 31, 106, 31, 9947, 392, 225, 36, 39, 40, 30, 5593, 34, 547, 371, 81, 3607, 346, 284, 665, 617, 1409, 81, 371, 81, 12301, 81, 269, 81, 3804, 26, 784, 30, 1914, 81, 761, 30, 1334, 30, 3309, 30, 1650, 30, 9111, 5079, 81, 2613, 47, 2700, 711, 291, 415, 646, 5079, 81, 2613, 461, 1914, 81, 761, 328, 630, 1114, 2613, 44, 324, 26513, 1954, 280, 630, 1114, 2613, 77, 1855, 81, 761, 79, 291, 813, 44, 324, 23189, 81, 983, 280, 630, 32, 12301, 81, 2157, 32, 371, 81, 12301, 26, 1855, 81, 761, 30, 13795, 5079, 81, 2613, 27, 324, 415, 23189, 81, 983, 438, 1665, 44, 400, 23189, 81, 983, 280, 630, 32, 731, 81, 1566, 324, 26513, 1954, 280, 447, 782, 1954, 32, 890, 81, 1070, 81, 761, 26, 12301, 81, 983, 27, 324, 630, 1114, 2613, 77, 1855, 81, 761, 79, 280, 26513, 1954, 291, 415, 26513, 1954, 32, 371, 81, 2273, 346, 863, 1334, 461, 26513, 1954, 32, 371, 81, 1644, 863, 1334, 44, 324, 26513, 1954, 280, 630, 32, 3804, 81, 14820, 1954, 26, 14820, 1954, 30, 1334, 27, 291, 442, 3309, 30, 26513, 1954, 30, 1650, 284, 477, 16099, 284, 665, 5247, 81, 14820, 1954, 26, 14820, 1954, 30, 1334, 711, 291, 1861, 280, 1334, 291, 2384, 280, 1334, 291, 12488, 280, 26513, 1954, 32, 371, 81, 1644, 346, 517, 26513, 1954, 32, 371, 81, 2273, 346, 291, 415, 12488, 848, 225, 35, 44, 324, 2384, 14374, 12488, 291, 813, 44, 324, 1861, 10439, 12488, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 4, 7, 7, 5, 7, 7, 0, 1, 1, 2, 2, 1, 1, 1, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 5, 5, 5, 4, 4, 3, 3, 3, 7, 7, 7, 6, 6, 7, 3, 3, 4, 6, 6, 6, 5, 5, 6, 4, 4, 4, 8, 8, 8, 7, 7, 8, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 10, 9, 10, 8, 4, 4, 7, 7, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 11, 11, 10, 11, 11, 11, 10, 12, 12, 12, 12, 10, 11, 11, 11, 10, 10, 11, 10, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 11, 11, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 10, 11, 11, 11, 10, 10, 11, 10, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 8, 8, 6, 6, 8, 8, 7, 7, 8, 9, 5, 5, 5, 9, 8, 8, 10, 11, 9, 10, 10, 10, 9, 5, 5, 6, 6, 6, 10, 10, 9, 9, 12, 13, 13, 13, 11, 12, 12, 12, 11, 12, 12, 12, 11, 11, 11, 12, 12, 11, 7, 7, 8, 10, 10, 9, 9, 8, 8, 8, 12, 12, 11, 11, 12, 13, 13, 13, 7, 7, 10, 9, 9, 12, 12, 11, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 7, 7, 11, 12, 10, 11, 11, 11, 10, 9, 9, 10, 4, 4, 5, 10, 9, 10, 10, 10, 9, 7, 7, 6, 6, 9, 8, 9, 9, 9, 7, 7, 5, 5, 5, 9, 8, 8, 10, 11, 11, 11, 11, 10, 11, 11, 10, 10, 10, 4, 4, 5, 6, 6, 7, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 11, 10, 11, 11, 11, 10, 8, 8, 11, 10, 11, 11, 11, 10, 5, 5, 6, 7, 7, 8, 6, 6, 6, 9, 9, 6, 6, 7, 7, 7, 10, 10, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 3, 3, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 7, 7, 1, 2, 1, 4, 4, 4, 4, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 0, 10, 10, 1, 1, 10, 10, 10, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 4, 0, 0, 0, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 3, 3, 4, 1, 1, 1, 2, 2, 3, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 5, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 5, 1, 2, 2, 2, 1, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 11, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 4, 4, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 1, 3, 3, 1, 6, 6, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 0, 3, 3, 4, 4, 4, 0, 0, 4 ]
[ 1070, 20717, 1188, 5547, 1959, 203, 465, 30902, 203, 1070, 30902, 1188, 7723, 30, 1692, 30, 34055, 953, 30, 4401, 30, 892, 30, 10244, 17905, 203, 1070, 30902, 1188, 5069, 203, 1070, 30902, 32, 407, 32, 25199, 5866, 1188, 20675, 81, 5866, 203, 465, 7395, 14510, 203, 465, 18792, 203, 1070, 27880, 639, 32, 1262, 1188, 38923, 203, 1070, 27880, 639, 32, 23202, 1188, 5552, 2516, 619, 5552, 203, 725, 81, 10265, 81, 1338, 81, 1110, 280, 30902, 32, 1599, 26, 284, 313, 725, 81, 10265, 81, 1338, 81, 1110, 392, 284, 5552, 32, 1761, 32, 4519, 30, 284, 30902, 32, 2137, 26, 291, 313, 12262, 81, 1473, 81, 314, 392, 291, 30902, 32, 3061, 30, 291, 30902, 32, 13343, 26, 324, 313, 12262, 81, 5740, 32, 1890, 392, 324, 544, 2560, 347, 28781, 20, 291, 829, 284, 2588, 284, 30902, 32, 2137, 26, 291, 313, 725, 81, 10265, 81, 1338, 81, 314, 392, 291, 30902, 32, 3061, 30, 291, 30902, 32, 13343, 26, 324, 313, 725, 81, 10265, 81, 1338, 32, 314, 392, 324, 544, 2560, 347, 28781, 20, 291, 829, 284, 829, 203, 27, 203, 1473, 81, 1363, 81, 1110, 280, 30902, 32, 1599, 26, 284, 313, 1473, 81, 1363, 81, 1110, 392, 284, 5552, 32, 1761, 32, 4519, 30, 284, 30902, 32, 2137, 26, 291, 313, 12262, 81, 1473, 81, 314, 392, 291, 30902, 32, 3061, 30, 291, 30902, 32, 13343, 26, 324, 313, 12262, 81, 5740, 32, 1890, 392, 324, 544, 2560, 347, 28781, 20, 291, 829, 284, 2588, 284, 30902, 32, 2137, 26, 291, 313, 1473, 81, 1363, 81, 314, 392, 291, 30902, 32, 3061, 30, 291, 30902, 32, 13343, 26, 324, 313, 1473, 81, 6332, 32, 314, 392, 324, 544, 2560, 347, 28781, 20, 291, 829, 284, 829, 203, 27, 203, 823, 24428, 959, 26, 2602, 32, 1761, 711, 284, 1156, 34426, 505, 280, 330, 12262, 81, 5740, 25, 284, 5799, 81, 7895, 280, 7723, 463, 1890, 370, 4401, 30, 7458, 81, 678, 47, 1815, 27, 284, 617, 1473, 81, 681, 280, 7723, 463, 1473, 81, 681, 370, 5552, 32, 2759, 620, 26, 20784, 32, 15898, 490, 284, 617, 823, 81, 681, 280, 7723, 463, 823, 81, 681, 370, 892, 26, 39, 34, 490, 284, 786, 280, 7723, 463, 853, 370, 10244, 17905, 26, 35, 34, 36, 38, 490, 284, 636, 81, 1055, 280, 7723, 26, 3061, 30, 1244, 47, 34, 27, 284, 617, 4243, 280, 30902, 32, 494, 32, 19115, 26, 291, 313, 12391, 17461, 392, 291, 1751, 81, 3235, 26292, 347, 775, 392, 291, 35238, 347, 464, 30, 3066, 31, 35159, 392, 291, 2532, 81, 1170, 347, 12391, 17461, 32, 314, 20, 284, 829, 284, 4467, 280, 20675, 81, 5866, 14728, 4243, 370, 330, 426, 683, 284, 4212, 81, 6038, 81, 426, 280, 7723, 26, 291, 330, 7428, 81, 6038, 81, 426, 370, 291, 892, 26, 39, 34, 471, 291, 1244, 1057, 1536, 25, 284, 829, 284, 20223, 280, 7723, 440, 29264, 392, 5069, 30, 1244, 47, 2700, 27, 284, 2815, 81, 770, 280, 7723, 26, 3061, 30, 1244, 47, 34, 27, 284, 617 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 4, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 7, 5, 6, 4, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 6, 6, 6, 8, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 11, 11, 8, 8, 6, 6, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 6, 6, 6, 8, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 11, 11, 8, 8, 6, 6, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 7, 5, 6, 4, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 6, 6, 6, 8, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 11, 11, 8, 8, 6, 6, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 6, 6, 6, 8, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 11, 11, 8, 8, 6, 6, 4, 4, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 8, 8, 6, 6, 6, 8, 8, 7, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 8, 8, 8, 8, 6, 8, 9, 9, 8, 10, 9, 10, 8, 2, 2, 5, 5, 5, 4, 4, 6, 8, 8, 8, 8, 6, 8, 9, 9, 8, 2, 2, 4, 4, 6, 8, 8, 6, 8, 8, 9, 9, 9, 9, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 7, 8, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 6, 6, 8, 8, 8, 6, 6, 8, 8, 8, 7, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 6, 6, 2, 2, 4, 4, 6, 6, 6, 8, 8, 6, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 8, 6, 6, 7, 9, 9, 6, 6, 2, 2, 4, 4, 6, 8, 8, 6, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 7, 8, 6, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 0, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 3, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 3, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 1, 2, 1, 1, 1, 1, 1, 1, 0, 11, 11, 1, 2, 0, 1, 2, 2, 11, 11, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 2, 1, 1, 4, 4, 0, 0, 1, 1, 2, 1, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4 ]
[ 465, 2361, 203, 3265, 81, 8439, 280, 301, 284, 330, 5379, 950, 301, 291, 330, 2808, 33, 28412, 950, 301, 324, 330, 6928, 31, 2387, 950, 3056, 104, 35, 33, 28412, 109, 49, 8539, 30, 3248, 30, 43040, 10047, 324, 330, 6928, 31, 6862, 950, 301, 400, 330, 8539, 950, 330, 753, 33, 8539, 370, 400, 330, 3248, 950, 330, 753, 33, 3926, 81, 3248, 370, 400, 330, 43040, 950, 330, 753, 33, 43040, 370, 324, 801, 324, 330, 25335, 950, 301, 400, 330, 4568, 950, 2107, 2788, 2188, 400, 330, 17213, 950, 301, 528, 330, 3164, 33, 1260, 950, 6663, 400, 801, 324, 801, 291, 801, 291, 330, 2808, 33, 3926, 950, 301, 324, 330, 6928, 31, 2387, 950, 3056, 104, 35, 33, 28412, 5263, 3926, 81, 426, 10047, 324, 330, 6928, 31, 6862, 950, 301, 400, 330, 3926, 81, 426, 950, 330, 753, 33, 3926, 81, 426, 370, 324, 801, 324, 330, 25335, 950, 301, 400, 330, 4568, 950, 2107, 2788, 370, 330, 6896, 370, 330, 4747, 370, 330, 6691, 2188, 400, 330, 17213, 950, 301, 528, 330, 3164, 33, 1260, 950, 6663, 400, 801, 324, 801, 291, 801, 291, 330, 2808, 33, 3926, 31, 4519, 950, 301, 324, 330, 6928, 31, 2387, 950, 3056, 104, 35, 33, 28412, 5263, 3926, 81, 426, 3188, 4519, 370, 324, 330, 6928, 31, 6862, 950, 301, 400, 330, 3926, 81, 426, 950, 330, 753, 33, 3926, 81, 426, 370, 324, 801, 324, 330, 25335, 950, 301, 400, 330, 4568, 950, 2107, 2788, 370, 330, 4747, 2188, 400, 330, 17213, 950, 301, 528, 330, 3164, 33, 1260, 950, 6663, 400, 801, 324, 801, 291, 801, 291, 330, 2808, 33, 3926, 31, 5136, 950, 301, 324, 330, 6928, 31, 2387, 950, 3056, 104, 35, 33, 28412, 5263, 3926, 81, 426, 3188, 5136, 370, 324, 330, 6928, 31, 6862, 950, 301, 400, 330, 3926, 81, 426, 950, 330, 753, 33, 3926, 81, 426, 370, 324, 801, 324, 330, 25335, 950, 301, 400, 330, 4568, 950, 2107, 2788, 2188, 400, 330, 17213, 950, 301, 528, 330, 3164, 33, 1260, 950, 6663, 400, 801, 324, 801, 291, 801, 291, 330, 2808, 33, 6286, 950, 301, 324, 330, 6928, 31, 2387, 950, 2726, 33, 104, 35, 33, 28412, 5263, 3926, 81, 426, 3188, 6286, 25, 4985, 8930, 49, 8539, 30, 3248, 30, 3474, 30, 1017, 81, 46635, 111, 1425, 324, 330, 6928, 31, 6862, 950, 301, 400, 330, 3926, 81, 426, 950, 330, 753, 33, 3926, 81, 426, 370, 400, 330, 8539, 950, 330, 753, 33, 8539, 370, 400, 330, 3248, 950, 330, 753, 33, 6286, 81, 3248, 370, 400, 330, 3474, 950, 330, 753, 33, 3474, 370, 400, 330, 1017, 81, 46635, 950, 330, 753, 33, 1017, 81, 46635, 370, 324, 801, 324, 330, 25335, 950, 301, 400, 330, 4568, 950, 2107, 2788, 2188, 400, 330, 17213, 950, 301, 528, 330, 3164, 33, 1260, 950, 6663, 400, 801, 324, 801, 291, 801, 291, 330, 2808, 33, 1526, 31, 6286, 950, 301, 324, 330, 6928, 31, 2387, 950, 3056, 104, 35, 33, 28412, 5263, 3926, 81, 426, 3188, 6286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 9, 9, 12, 12, 10, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 12, 9, 9, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 13, 13, 9, 9, 12, 12, 10, 11, 11, 14, 14, 14, 14, 12, 11, 11, 9, 9, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 9, 9, 12, 12, 10, 11, 11, 14, 14, 14, 14, 12, 11, 11, 9, 9, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 13, 13, 11, 13, 13, 9, 9, 12, 12, 10, 11, 11, 14, 14, 14, 14, 12, 11, 11, 9, 9, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 13, 13, 9, 9, 12, 12, 10, 11, 11, 14, 14, 14, 14, 12, 11, 11, 9, 9, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 10, 10, 10, 10, 8, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 13, 13, 9, 9, 12, 12, 10, 11, 11, 14, 14, 14, 14, 12, 11, 11, 9, 9, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 9, 2, 2, 1, 1, 1, 2, 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, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 11, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 465, 1133, 203, 465, 2361, 203, 465, 16672, 203, 465, 343, 1229, 32662, 203, 465, 6436, 619, 2065, 203, 465, 20211, 32, 7878, 619, 1224, 203, 1070, 20211, 32, 15183, 1188, 281, 325, 282, 35, 34, 203, 1070, 20211, 32, 8311, 9229, 1188, 36051, 203, 1070, 20211, 32, 2304, 1188, 2065, 81, 2304, 203, 589, 1420, 81, 40368, 282, 35, 34, 26, 4432, 81, 891, 30, 400, 12939, 81, 8836, 30, 400, 7713, 30, 400, 12939, 81, 19625, 81, 1521, 30, 400, 12939, 81, 2029, 30, 400, 27934, 81, 3306, 30, 400, 33240, 81, 3306, 30, 400, 9608, 81, 3306, 30, 400, 7533, 81, 21213, 30, 400, 6867, 81, 19362, 711, 284, 308, 74, 81, 3239, 30, 533, 81, 3239, 471, 308, 74, 81, 858, 30, 533, 81, 858, 27, 280, 281, 325, 282, 35, 34, 32, 944, 81, 605, 346, 284, 12939, 81, 4820, 280, 2069, 26, 2356, 32, 5665, 26, 107, 81, 3239, 490, 284, 4791, 81, 3534, 280, 1593, 81, 3239, 32, 3229, 77, 35, 10056, 284, 415, 1224, 32, 893, 81, 605, 81, 1643, 346, 610, 313, 8147, 81, 2232, 563, 291, 310, 81, 8147, 280, 1593, 81, 3239, 32, 3229, 77, 35, 79, 284, 813, 44, 291, 310, 81, 8147, 280, 1593, 81, 3239, 32, 3229, 6448, 35, 79, 284, 1410, 81, 3239, 280, 2065, 81, 2304, 32, 452, 81, 30199, 26, 107, 81, 3239, 30, 12939, 81, 4820, 27, 284, 1410, 81, 858, 280, 2065, 81, 2304, 32, 452, 81, 30199, 26, 107, 81, 858, 30, 12939, 81, 4820, 27, 284, 1593, 81, 3239, 280, 1593, 81, 3239, 32, 15315, 463, 1808, 37, 36, 683, 284, 1593, 81, 858, 280, 1593, 81, 858, 32, 15315, 463, 1808, 37, 36, 683, 284, 1593, 280, 2065, 32, 104, 3034, 1162, 74, 81, 3239, 30, 1593, 81, 858, 490, 284, 415, 1224, 32, 893, 81, 605, 81, 1643, 346, 610, 313, 8147, 81, 2232, 563, 291, 436, 595, 328, 2155, 26, 96, 81, 8147, 711, 324, 5651, 280, 2065, 32, 6009, 26, 74, 6894, 595, 30, 21367, 499, 1130, 324, 1230, 280, 2065, 32, 1530, 26, 74, 6894, 595, 30, 21367, 499, 1130, 324, 1593, 81, 3239, 6894, 595, 30, 21367, 22913, 280, 308, 74, 81, 3239, 6894, 595, 30, 21367, 22913, 429, 5651, 27, 517, 1230, 324, 1593, 81, 858, 6894, 595, 30, 21367, 22913, 280, 308, 74, 81, 858, 6894, 595, 30, 21367, 22913, 429, 5651, 27, 517, 1230, 284, 4348, 1224, 32, 893, 81, 605, 81, 1643, 346, 610, 313, 8147, 81, 2135, 563, 291, 436, 595, 328, 2155, 26, 96, 81, 8147, 711, 324, 5651, 280, 2065, 32, 6009, 26, 74, 6894, 21367, 21367, 595, 1130, 324, 1230, 280, 2065, 32, 1530, 26, 74, 6894, 21367, 21367, 595, 1130, 324, 1593, 81, 3239, 6894, 21367, 21367, 595, 79, 280, 308, 74, 81, 3239, 6894, 21367, 21367, 595, 79, 429, 5651, 27, 517, 1230, 324, 1593, 81, 858, 6894, 21367, 21367, 595, 79, 280, 308, 74, 81, 858, 6894, 21367, 21367, 595, 79, 429 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 1, 1, 7, 7, 7, 6, 6, 7, 7, 6, 5, 7, 7, 7, 6, 6, 7, 7, 6, 4, 4, 7, 7, 7, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 9, 8, 9, 8, 9, 9, 9, 8, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 5, 7, 6, 2, 2, 3, 6, 7, 7, 7, 7, 7, 6, 4, 4, 6, 6, 6, 6, 3, 3, 7, 7, 6, 6, 9, 9, 8, 9, 7, 8, 7, 3, 3, 4, 4, 4, 8, 8, 7, 7, 10, 10, 9, 10, 8, 10, 8, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 7, 6, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 6, 7, 7, 7, 7, 7, 6, 4, 4, 6, 6, 6, 6, 3, 3, 5, 5, 5, 7, 8, 8, 8, 7, 5, 5, 8, 8, 10, 11, 10, 12, 11, 11, 11, 11, 11, 11, 6, 6, 8, 8, 10, 11, 10, 12, 11, 11, 11, 11, 11, 11, 6, 6, 10, 10, 9, 9, 9, 9, 9, 8, 8, 13, 13, 13, 12, 12, 12, 12, 12, 11, 11, 10, 9, 9, 6, 6, 10, 10, 9, 9, 9, 9, 9, 8, 8, 13, 13, 13, 12, 12, 12, 12, 12, 11, 11, 10, 9, 9, 3, 3, 4, 7, 8, 8, 8, 8, 8, 7, 5, 5, 7, 7, 7, 7, 4, 4, 6, 6, 6, 8, 9, 9, 9, 8, 6, 6, 9, 9, 11, 12, 11, 13, 12, 12, 12, 12, 12, 7, 7, 9, 9, 11, 12, 11, 13, 12, 12, 12, 12, 12, 7, 7, 11, 11, 10, 10, 10, 10, 10, 9, 9, 14, 14, 14, 13, 13, 13, 13, 13, 12, 12, 11, 10, 10, 7, 7, 11, 11, 10, 10, 10, 10, 10, 9, 9, 14, 14, 14, 13, 13, 13, 13, 13, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 6, 6, 1, 1, 0, 7, 7, 0, 2, 1, 1, 0, 8, 8, 1, 2, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 2, 2, 9, 9, 0, 10, 10, 1, 2, 10, 10, 0, 0, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 2, 2, 2, 9, 9, 2, 2, 2, 11, 11, 2, 2, 2, 13, 13, 2, 2, 2, 15, 15, 2, 2, 2, 17, 17, 2, 2, 2, 19, 19, 2, 11, 11, 1, 1, 1, 0, 0, 3, 3, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 4, 4, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 9, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 9, 9, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 465, 16672, 203, 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 1070, 8527, 32, 1262, 32, 9331, 1188, 1695, 203, 823, 5718, 26, 1439, 32, 1761, 2019, 711, 284, 3049, 280, 766, 291, 1524, 291, 11035, 101, 638, 40546, 2276, 645, 322, 2074, 32, 291, 1524, 284, 5257, 280, 540, 28249, 33581, 8169, 40546, 22, 25, 284, 665, 1015, 81, 8299, 26, 784, 30, 4118, 711, 291, 4118, 32, 669, 81, 2669, 26, 324, 11363, 1347, 1131, 370, 3466, 1057, 1347, 1131, 370, 2125, 1057, 2157, 81, 1508, 370, 1244, 47, 2700, 30, 324, 3049, 347, 2555, 2370, 13012, 322, 1256, 436, 1509, 432, 1346, 6186, 3107, 291, 829, 291, 4118, 32, 669, 81, 2669, 26, 324, 6470, 88, 370, 11363, 5538, 370, 3466, 1057, 5538, 370, 2125, 1057, 2157, 81, 1508, 370, 1244, 47, 2700, 30, 324, 3049, 347, 10490, 322, 15255, 2276, 2876, 1256, 15994, 3107, 291, 829, 291, 4118, 32, 669, 81, 2669, 26, 324, 6470, 98, 370, 11363, 1793, 31, 2958, 983, 370, 3466, 1057, 1793, 81, 2958, 983, 370, 2125, 1057, 2157, 81, 1508, 370, 1244, 47, 2700, 30, 324, 3049, 347, 4913, 2329, 32061, 4065, 11323, 3107, 291, 829, 291, 4118, 32, 669, 81, 2669, 26, 324, 330, 983, 370, 34292, 47, 626, 2208, 32, 613, 1400, 3324, 527, 30, 324, 3049, 347, 26084, 623, 11323, 20, 291, 829, 284, 665, 2887, 26, 784, 30, 319, 1132, 30, 1115, 2184, 711, 291, 29141, 280, 2075, 710, 983, 785, 556, 5237, 32, 983, 2867, 35, 79, 291, 415, 2075, 710, 1793, 81, 2958, 983, 12132, 324, 29141, 1454, 5237, 32, 983, 77, 35, 10056, 291, 436, 343, 328, 29141, 44, 324, 343, 280, 343, 556, 18491, 324, 415, 2322, 32, 983, 32, 34103, 26, 86, 27, 461, 2322, 32, 3560, 26, 86, 30, 2322, 32, 73, 81, 2950, 711, 400, 436, 24797, 30, 4950, 26719, 328, 2322, 32, 11905, 26, 86, 711, 528, 436, 4870, 328, 26719, 44, 715, 37651, 280, 2322, 32, 983, 32, 2524, 26, 7781, 30, 4870, 27, 715, 415, 316, 32, 1903, 26, 784, 32, 5607, 30, 37651, 711, 1014, 415, 646, 2075, 710, 5538, 785, 461, 646, 2075, 710, 1347, 1131, 12132, 1378, 8655, 81, 1141, 280, 1509, 26, 1891, 313, 2555, 844, 2637, 372, 3066, 6611, 101, 25, 49, 428, 107, 33, 64, 79, 225, 313, 904, 37651, 27, 1378, 415, 8655, 81, 1141, 863, 330, 107, 950, 1891, 4036, 1014, 2322, 32, 2546, 26, 27207, 27, 1014, 415, 629, 26, 2184, 710, 38974, 3490, 2377, 225, 36, 44, 1378, 630, 32, 9362, 32, 1821, 440, 16986, 904, 101, 20, 904, 37651, 27, 324, 813, 44, 400, 415, 629, 26, 2184, 710, 38974, 3490, 2377, 225, 36, 44, 528, 630, 32, 9362, 32, 1821, 440, 42937, 904, 101, 20, 904, 343, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 7, 7, 9, 9, 9, 7, 8, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 8, 8, 7, 7, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 7, 8, 10, 10, 10, 10, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 8, 8, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 7, 8, 10, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 8, 8, 7, 7, 7, 9, 9, 7, 8, 10, 10, 9, 10, 10, 10, 10, 7, 7, 7, 8, 10, 10, 10, 10, 7, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 6, 6, 8, 10, 10, 7, 7, 9, 10, 8, 10, 8, 4, 4, 5, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 10, 11, 9, 11, 10, 4, 4, 5, 5, 5, 5, 5, 5, 8, 8, 9, 9, 6, 6, 7, 11, 12, 10, 11, 10, 11, 10, 8, 8, 10, 11, 10, 11, 10, 10, 11, 12, 12, 12, 10, 7, 7, 9, 10, 10, 10, 9, 9, 11, 12, 11, 12, 11, 9, 9, 11, 11, 11, 11, 11, 11, 14, 14, 17, 18, 16, 17, 16, 17, 16, 16, 16, 12, 12, 13, 15, 16, 15, 17, 16, 17, 15, 15, 15, 13, 13, 15, 17, 18, 20, 20, 16, 16, 17, 18, 20, 20, 20, 15, 15, 19, 19, 18, 18, 20, 20, 20, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 21, 21, 20, 16, 16, 17, 19, 19, 18, 18, 20, 20, 17, 17, 14, 14, 17, 18, 17, 18, 17, 14, 14, 15, 18, 20, 19, 21, 21, 16, 16, 17, 15, 15, 15, 20, 21, 19, 20, 19, 22, 22, 22, 22, 20, 20, 19, 7, 7, 8, 8, 8, 10, 13, 15, 14, 16, 16, 11, 11, 12, 10, 10, 10, 15, 16, 14, 15, 14, 17, 17, 17, 17, 15, 15, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 1, 4, 4, 4, 0, 5, 5, 2, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 1, 1, 2, 1, 9, 2, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 2, 1, 7, 1, 1, 1, 2, 1, 9, 2, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 2, 1, 1, 4, 4, 3, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 5, 5, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 14208, 38, 1188, 39231, 619, 33745, 203, 1070, 1984, 2208, 1188, 1984, 2524, 203, 465, 5167, 203, 465, 16672, 203, 465, 5748, 203, 465, 45977, 203, 465, 2322, 203, 823, 971, 368, 1031, 2825, 44, 203, 202, 589, 1156, 1664, 3207, 784, 30, 2926, 1057, 5728, 564, 7831, 357, 202, 9592, 357, 202, 403, 3219, 667, 432, 6550, 443, 357, 202, 9592, 357, 202, 784, 32, 2816, 280, 2926, 357, 202, 784, 32, 878, 81, 8644, 280, 5748, 32, 878, 81, 8644, 357, 202, 784, 32, 2024, 81, 761, 280, 5748, 32, 2024, 81, 761, 357, 202, 784, 32, 981, 24720, 81, 2024, 81, 761, 280, 5748, 32, 981, 24720, 81, 2024, 81, 761, 203, 202, 589, 22928, 81, 92, 30525, 81, 878, 26, 784, 30, 3233, 81, 2029, 47, 8126, 32, 1112, 81, 2029, 711, 357, 202, 9592, 357, 202, 403, 22928, 594, 30525, 1344, 1412, 2702, 3233, 81, 2029, 357, 202, 403, 1849, 372, 1015, 1048, 9933, 357, 202, 9592, 357, 202, 979, 15430, 328, 630, 32, 371, 81, 878, 81, 1070, 81, 965, 2262, 355, 202, 965, 280, 5748, 32, 725, 81, 965, 26, 8126, 32, 725, 81, 314, 30, 12494, 7188, 3233, 81, 2029, 30, 12494, 7188, 15430, 27, 355, 202, 100, 280, 5167, 32, 371, 26, 965, 27, 355, 202, 1517, 81, 687, 280, 540, 32, 1517, 81, 687, 355, 202, 325, 2287, 81, 687, 610, 225, 36, 34, 34, 44, 603, 202, 1216, 13198, 23, 101, 79, 1720, 48, 18025, 101, 79, 9199, 25, 18147, 784, 32, 2816, 30, 2287, 81, 687, 27, 603, 202, 784, 32, 2853, 81, 878, 26, 100, 32, 878, 27, 355, 202, 1824, 44, 603, 202, 13225, 26405, 440, 1553, 561, 657, 357, 202, 784, 32, 981, 24720, 346, 1659, 202, 589, 622, 81, 878, 81, 1070, 81, 965, 26, 784, 711, 357, 202, 9592, 357, 202, 403, 622, 1344, 645, 1984, 357, 202, 9592, 357, 202, 4617, 203, 202, 589, 409, 1794, 348, 26, 784, 711, 357, 202, 9592, 357, 202, 403, 409, 1794, 348, 1344, 706, 357, 202, 9592, 357, 202, 1216, 463, 981, 417, 299, 21370, 683, 357, 202, 878, 81, 668, 280, 739, 346, 357, 202, 1793, 45977, 32, 1676, 26, 784, 32, 2024, 81, 761, 30, 330, 100, 370, 8667, 423, 7328, 47, 784, 32, 878, 81, 8644, 27, 619, 296, 44, 355, 202, 979, 816, 328, 296, 32, 33232, 346, 499, 12494, 202, 878, 81, 668, 32, 669, 26, 106, 27, 8667, 202, 979, 1344, 328, 1344, 81, 668, 44, 603, 202, 1793, 45977, 32, 1676, 26, 784, 32, 981, 24720, 81, 2024, 81, 761, 30, 330, 83, 370, 19768, 423, 7328, 47, 784, 32, 878, 81, 8644, 27, 619, 485, 44, 577, 202, 89, 32, 1821, 26, 878, 27, 357, 202, 1216, 463, 6008, 299, 973, 30865, 357, 202, 500, 32, 2546, 26, 784, 32, 2024, 81, 761, 27, 203, 202, 589, 4131, 81, 878, 26, 784, 30, 736, 81, 878, 711, 357, 202, 9592, 357, 202, 403, 4131, 6364, 2471, 372, 10475, 803, 357, 202, 403, 4717, 810, 533, 18712, 594, 30525 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 4, 4, 5, 4, 4, 5, 7, 7, 7, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 8, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 8, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 5, 7, 6, 7, 7, 7, 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, 4, 4, 5, 5, 5, 5, 7, 8, 8, 8, 8, 8, 8, 8, 7, 5, 5, 9, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 12, 12, 10, 10, 10, 10, 11, 11, 10, 10, 10, 10, 10, 6, 6, 9, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 9, 9, 8, 8, 9, 10, 10, 10, 6, 6, 7, 7, 9, 9, 8, 8, 9, 9, 9, 7, 7, 7, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 13, 12, 13, 11, 11, 12, 12, 11, 8, 8, 12, 11, 12, 12, 12, 11, 13, 12, 13, 11, 7, 7, 8, 8, 8, 8, 10, 10, 12, 14, 14, 14, 4, 4, 8, 7, 8, 8, 7, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 9, 9, 9, 9, 9, 4, 4, 7, 7, 7, 6, 6, 8, 4, 4, 5, 5, 10, 11, 10, 12, 11, 12, 12, 12, 10, 10, 12, 12, 10, 10, 10, 11, 13, 12, 13, 13, 13, 10, 8, 8, 5, 5, 5, 7, 7, 7, 7, 9, 10, 9, 7, 7, 7, 12, 12, 12, 11, 12, 11, 12, 11, 6, 6, 7, 7, 7, 7, 8, 8, 7, 7, 7, 9, 9, 14, 15, 14, 16, 15, 16, 16, 16, 16, 16, 16, 14, 14, 16, 16, 14, 14, 14, 15, 17, 16, 17, 17, 17, 14, 12, 12, 9, 9, 9, 14, 13, 14, 13, 14, 13, 4, 4, 7, 7, 9, 9, 9, 9, 4, 4, 8, 7, 8, 7, 9, 8, 9, 9, 9, 7, 2, 2, 3, 3, 4, 4, 4, 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 ]
[ 0, 0, 0, 0, 0, 3, 3, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 1, 1, 7, 7, 7, 0, 0, 1, 1, 1, 2, 2, 3, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 3, 3, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 3, 3, 2, 3, 3, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 4, 4, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 3, 3, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 3, 3, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 5, 0, 2, 2, 2, 2, 1, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 5, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 1933, 203, 465, 5237, 203, 465, 2361, 203, 1070, 7138, 1188, 30784, 203, 1070, 8527, 32, 2304, 1188, 22158, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 1910, 30, 7462, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 2304, 32, 916, 1188, 15820, 203, 1070, 32751, 32, 3378, 1188, 22509, 203, 1070, 8351, 32, 3378, 1188, 7051, 203, 589, 1505, 81, 1260, 26, 878, 711, 284, 1596, 44, 291, 1344, 81, 452, 81, 1260, 280, 2361, 32, 12474, 26, 878, 30, 6523, 47, 2700, 27, 291, 415, 646, 6937, 26, 878, 81, 452, 81, 1260, 30, 5436, 711, 324, 3636, 10091, 291, 442, 1344, 81, 452, 81, 1260, 284, 2940, 308, 22239, 30, 12678, 711, 291, 442, 3177, 203, 589, 622, 81, 1581, 81, 878, 26, 878, 30, 7275, 711, 284, 1344, 81, 280, 1505, 81, 1260, 26, 878, 27, 284, 415, 1344, 15359, 291, 7275, 280, 7275, 415, 7275, 328, 1344, 81, 813, 4070, 32, 34801, 81, 3521, 291, 442, 1344, 8850, 1581, 79, 284, 442, 15390, 26, 878, 27, 203, 823, 4187, 26, 3378, 32, 1243, 711, 284, 1780, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 43, 35, 30, 3082, 81, 1055, 47, 1815, 30, 744, 47, 1815, 30, 11771, 47, 1815, 27, 284, 4504, 81, 1311, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 39, 30, 3082, 81, 1055, 47, 1815, 30, 744, 47, 1815, 30, 11771, 47, 1815, 27, 284, 8419, 280, 4549, 32, 13343, 26, 13018, 30, 3082, 81, 1055, 47, 1815, 30, 744, 47, 2700, 30, 11771, 47, 2700, 27, 284, 2350, 280, 4549, 32, 13343, 26, 1564, 30, 3082, 81, 1055, 47, 2700, 30, 744, 47, 1815, 30, 11771, 47, 1815, 30, 1244, 47, 2521, 27, 284, 8351, 280, 4549, 32, 46046, 1176, 26, 1564, 30, 11771, 47, 2700, 30, 5886, 81, 426, 1057, 6332, 81, 470, 683, 284, 7533, 280, 4549, 32, 30400, 26, 1199, 81, 1055, 47, 1815, 30, 744, 47, 2700, 30, 11771, 47, 2700, 30, 1244, 47, 34, 27, 284, 438, 81, 3864, 280, 4549, 32, 39471, 26, 1199, 81, 1055, 47, 1815, 30, 744, 47, 2700, 30, 11771, 47, 2700, 30, 1244, 47, 2700, 27, 284, 2935, 81, 2795, 280, 4549, 32, 13343, 463, 784, 370, 3082, 81, 1055, 47, 1815, 30, 744, 47, 1815, 30, 11771, 47, 1815, 30, 5886, 81, 426, 1057, 4915, 683, 284, 2899, 81, 878, 280, 4549, 32, 10215, 26, 1693, 47, 1815, 30, 11771, 47, 1815, 30, 1244, 47, 2521, 27, 284, 6793, 81, 1449, 280, 4549, 32, 30400, 26, 1199, 81, 1055, 47, 1815, 30, 744, 47, 2700, 30, 11771, 47, 2700, 30, 1244, 47, 34, 27, 284, 1769, 81, 23526, 280, 4549, 32, 30400, 26, 1693, 47, 2700, 30, 11771, 47, 2700, 30, 1244, 47, 34, 27, 284, 46483, 81, 7987 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 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, 3, 3, 7, 7, 7, 7, 6, 6, 8, 9, 8, 9, 8, 8, 9, 10, 8, 4, 4, 5, 6, 8, 9, 9, 9, 9, 9, 8, 8, 8, 5, 5, 7, 4, 4, 5, 6, 6, 6, 6, 3, 3, 4, 6, 5, 5, 5, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 4, 3, 3, 6, 6, 7, 7, 8, 8, 9, 7, 7, 8, 9, 9, 9, 4, 4, 5, 7, 7, 6, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 8, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 8, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 8, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 8, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 7, 6, 7, 6, 6, 7, 8, 6, 6, 8, 8, 7, 9, 9, 9, 9, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 6, 8, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 8, 8, 7, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 8, 8, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 3, 3, 0, 10, 10, 1, 2, 1, 4, 4, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 12, 12, 1, 2, 12, 12, 0, 13, 13, 1, 2, 13, 13, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 3, 3, 0, 0, 15, 15, 1, 1, 1, 1, 2, 1, 2, 2, 2, 15, 15, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 3, 3, 1, 0, 2, 1, 4, 4, 2, 1, 1, 1, 0, 16, 16, 2, 0, 1, 2, 2, 16, 16, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 5, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 0, 0, 9, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0 ]
[ 1070, 8527, 32, 2957, 1188, 4070, 203, 465, 316, 203, 18472, 81, 1407, 81, 3898, 18661, 280, 4825, 2991, 20, 203, 10958, 81, 3898, 18661, 81, 29396, 280, 316, 32, 6993, 26, 100, 28249, 3424, 31, 2991, 18470, 31, 4987, 86, 27, 3730, 33113, 683, 203, 589, 438, 81, 1327, 81, 1637, 81, 7794, 26, 1637, 30, 17310, 30, 4755, 30, 1519, 47, 2521, 711, 284, 645, 3400, 265, 32, 3378, 32, 1637, 1160, 1188, 6012, 284, 22513, 280, 6012, 32, 5740, 32, 2029, 26, 2851, 47, 2851, 27, 284, 415, 22513, 32, 2029, 26, 7794, 47, 7794, 547, 998, 2262, 291, 442, 3177, 284, 415, 1519, 461, 22513, 32, 2029, 26, 983, 47, 983, 547, 998, 2262, 291, 442, 3177, 284, 442, 2933, 203, 589, 622, 81, 7230, 81, 7794, 26, 1637, 30, 537, 81, 7794, 47, 2521, 711, 284, 17310, 280, 537, 81, 7794, 556, 1938, 32, 7794, 284, 1938, 32, 7794, 280, 17310, 284, 1938, 32, 1877, 81, 983, 346, 284, 1519, 280, 1938, 32, 983, 284, 415, 646, 438, 81, 1327, 81, 1637, 81, 7794, 26, 1637, 30, 17310, 30, 1938, 32, 2851, 30, 1519, 711, 291, 2530, 280, 8118, 81, 3898, 18661, 81, 29396, 32, 2872, 26, 7794, 27, 291, 415, 2530, 44, 324, 1596, 44, 400, 2354, 280, 629, 26, 2872, 32, 6332, 8532, 34, 1130, 474, 225, 35, 400, 17310, 280, 4825, 2296, 2524, 26, 7794, 32, 2998, 12605, 683, 20129, 35, 1130, 474, 4825, 23, 86, 20, 904, 2354, 324, 2940, 12678, 44, 400, 17310, 280, 17310, 474, 4825, 36, 20, 291, 813, 44, 324, 17310, 280, 17310, 474, 16597, 3285, 81, 1407, 81, 3898, 18661, 291, 442, 622, 81, 7230, 81, 7794, 26, 1637, 30, 17310, 27, 284, 813, 44, 291, 442, 17310, 203, 589, 1505, 81, 1311, 81, 7794, 101, 26, 1637, 711, 284, 3610, 81, 7794, 280, 1938, 32, 7794, 284, 1938, 32, 7794, 280, 622, 81, 7230, 81, 7794, 26, 1637, 27, 284, 415, 1938, 32, 7794, 863, 3610, 81, 7794, 44, 291, 1938, 32, 2853, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 5, 4, 5, 4, 5, 5, 3, 3, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 6, 2, 2, 3, 7, 8, 7, 9, 8, 9, 7, 6, 5, 3, 3, 5, 2, 2, 3, 4, 4, 8, 9, 8, 10, 9, 10, 8, 7, 6, 3, 3, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 5, 5, 6, 7, 2, 2, 5, 6, 4, 4, 2, 2, 5, 6, 6, 6, 5, 2, 2, 4, 4, 5, 6, 2, 2, 3, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 8, 6, 6, 6, 3, 3, 6, 6, 9, 9, 9, 9, 9, 8, 9, 8, 9, 8, 4, 4, 5, 5, 5, 5, 7, 7, 7, 10, 10, 13, 17, 16, 17, 16, 15, 14, 11, 11, 12, 8, 8, 10, 10, 15, 14, 13, 17, 16, 17, 16, 18, 14, 17, 14, 11, 11, 14, 14, 14, 12, 12, 7, 7, 8, 8, 8, 8, 11, 11, 12, 12, 14, 14, 5, 5, 6, 6, 6, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 4, 4, 5, 7, 7, 7, 7, 7, 8, 7, 7, 7, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 6, 2, 2, 5, 6, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 3, 5, 6, 4, 4, 5, 5, 3, 3, 3, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 4, 4, 0, 0, 1, 2, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 4, 4, 3, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 3, 3, 0, 4, 4, 4, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 4, 4, 4, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 2, 2, 1, 2, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 0, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 1070, 7138, 1188, 30784, 203, 1070, 16316, 36, 1188, 16316, 203, 1070, 8527, 32, 12023, 1188, 5218, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 2304, 1188, 22158, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 7462, 30, 10720, 203, 1070, 8527, 32, 2304, 32, 18218, 1188, 2464, 203, 1070, 8527, 32, 525, 1188, 17874, 30, 4688, 38, 34, 38, 203, 1070, 8527, 32, 36287, 1188, 622, 81, 1473, 81, 271, 81, 38, 34, 38, 30, 5668, 203, 1070, 8527, 32, 2387, 32, 4554, 1188, 2908, 81, 452, 81, 800, 203, 1070, 8527, 32, 4338, 32, 9947, 1188, 23487, 1074, 30, 10838, 1074, 30, 2648, 1074, 30, 4328, 203, 1070, 8527, 32, 4338, 32, 9947, 32, 3176, 1188, 4000, 1074, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 622, 81, 4189, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 9618, 203, 1070, 12586, 32, 3378, 1188, 6401, 203, 1070, 28652, 9408, 32, 3378, 1188, 1988, 5080, 30, 34499, 1125, 203, 1070, 28652, 9408, 32, 8538, 1188, 308, 3484, 12608, 1241, 30, 34499, 1125, 12608, 1241, 30, 1014, 34499, 1125, 3579, 1241, 30, 9082, 1241, 27, 203, 1070, 28652, 9408, 32, 28771, 1188, 308, 11043, 81, 20566, 1125, 81, 979, 81, 20566, 1125, 30, 4985, 3640, 81, 20566, 1125, 81, 979, 81, 1286, 285, 30, 4985, 14527, 81, 302, 81, 18954, 4008, 30, 4985, 5420, 81, 83, 81, 20566, 1125, 27, 203, 1070, 28652, 9408, 32, 2387, 3963, 32, 20566, 1125, 81, 3963, 1188, 1505, 81, 1286, 81, 30550, 203, 1070, 28652, 9408, 32, 38860, 1188, 30776, 13976, 30, 10961, 2413, 13976, 203, 1070, 14165, 6528, 32, 3378, 1188, 13925, 203, 1070, 23300, 32, 38860, 1188, 10653, 5413, 13976, 203, 1070, 23300, 32, 3378, 1188, 12831, 203, 589, 622, 81, 639, 81, 2468, 26, 1357, 711, 284, 442, 308, 1357, 32, 14254, 32, 371, 463, 5068, 81, 74, 81, 7321, 6102, 10884, 81, 7321, 683, 556, 324, 1326, 32, 14254, 32, 371, 463, 25670, 81, 8588, 2847, 203, 823, 1988, 5080, 5287, 1074, 26, 5287, 1074, 711, 284, 36104, 280, 308, 1777, 285, 32, 5740, 400, 638, 1613, 81, 10513, 463, 496, 683, 400, 638, 31402, 81, 10513, 463, 20566, 9408, 2847, 284, 1619, 81, 1473, 81, 426, 280, 330, 1286, 285, 25, 284, 665, 622, 81, 2387, 81, 4243, 26, 784, 711, 291, 2202, 280, 630, 32, 1357, 32, 2788, 32, 371, 440, 1071, 657, 291, 636, 280, 2884, 668, 81, 1071, 20, 415, 2202, 610, 313, 668, 20, 813, 313, 3242, 81, 1071, 657, 291, 442, 3037, 20566, 9408, 9708, 101, 32, 916, 20, 904, 636, 79, 284, 665, 622, 81, 2544, 26, 784, 711, 291, 28652, 1125, 81, 314, 280, 630, 32, 5321, 32, 371, 440, 20566, 1125, 81, 314, 657, 291, 415, 28652, 1125, 81, 314, 44, 324, 442, 622, 81, 1473, 81, 271, 81, 38, 34, 38, 26, 32966, 1125, 30, 804, 47, 20566, 1125, 81, 314, 27, 284, 665, 622, 81, 20566, 9408, 26, 784, 711, 291, 1795, 285, 280, 630, 32, 371, 81, 2544, 346, 556, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 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, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 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, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 3, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 9, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 8, 9, 7, 8, 7, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 11, 11, 10, 11, 9, 9, 10, 10, 10, 9, 11, 11, 7, 7, 8, 8, 8, 7, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 9, 10, 8, 9, 8, 10, 10, 4, 4, 6, 6, 10, 10, 10, 10, 8, 8, 9, 9, 11, 11, 8, 8, 10, 10, 10, 10, 4, 4, 5, 9, 9, 9, 9, 9, 9, 9, 7, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 4, 4, 5, 6, 6, 6, 5, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 9, 10, 11, 11, 11, 11, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 10, 10, 10, 9, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 2, 8, 8, 8, 8, 0, 0, 0, 0, 9, 9, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 11, 11, 0, 11, 11, 0, 11, 11, 0, 12, 12, 1, 2, 1, 4, 1, 6, 12, 12, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 15, 15, 1, 2, 15, 15, 0, 16, 16, 0, 1, 2, 16, 16, 0, 16, 16, 0, 0, 17, 17, 0, 1, 2, 17, 17, 0, 0, 0, 17, 17, 0, 0, 0, 17, 17, 17, 0, 0, 0, 17, 17, 0, 17, 0, 18, 18, 0, 1, 2, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 18, 18, 0, 0, 0, 0, 0, 18, 18, 18, 0, 0, 0, 0, 0, 18, 0, 19, 19, 0, 1, 2, 2, 1, 4, 4, 4, 4, 19, 19, 0, 0, 0, 0, 0, 20, 20, 0, 1, 2, 20, 20, 0, 20, 20, 0, 0, 0, 21, 21, 0, 1, 2, 21, 21, 0, 22, 22, 1, 2, 22, 22, 0, 0, 0, 23, 23, 1, 2, 23, 23, 0, 24, 24, 1, 1, 1, 1, 2, 1, 2, 24, 24, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 25, 25, 1, 1, 1, 2, 1, 1, 2, 25, 25, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2 ]
[ 1070, 408, 349, 1188, 3796, 203, 1070, 408, 349, 32, 4882, 1188, 20828, 35506, 203, 1070, 408, 349, 32, 823, 107, 32, 4738, 1188, 1797, 1316, 203, 823, 4101, 20691, 2291, 26, 2178, 1316, 32, 4007, 2551, 1074, 711, 284, 9156, 81, 6038, 280, 1665, 284, 665, 622, 26, 784, 30, 1115, 5321, 711, 291, 442, 2149, 203, 823, 3772, 20691, 7233, 26, 13034, 35506, 711, 284, 665, 12359, 81, 725, 81, 5983, 26, 784, 30, 1359, 711, 291, 1359, 32, 1017, 463, 277, 349, 683, 291, 1359, 32, 3317, 81, 3142, 26, 2044, 20691, 2291, 30, 3056, 858, 81, 6390, 683, 284, 665, 894, 81, 1536, 81, 5522, 26, 784, 711, 291, 540, 280, 630, 32, 725, 32, 371, 3247, 858, 81, 6390, 683, 291, 630, 32, 5299, 26, 100, 32, 1517, 81, 410, 30, 225, 36, 34, 34, 27, 203, 823, 6512, 8161, 4248, 26, 13034, 35506, 711, 284, 665, 12359, 81, 725, 81, 5983, 26, 784, 30, 1359, 711, 291, 1359, 32, 1017, 463, 277, 349, 683, 291, 443, 3456, 27776, 2291, 26, 2178, 1316, 32, 4007, 2551, 1074, 711, 324, 9156, 81, 6038, 280, 3796, 32, 7792, 1763, 8161, 4248, 324, 665, 622, 26, 784, 30, 1115, 5321, 711, 400, 442, 2149, 291, 1359, 32, 3317, 81, 3142, 26, 2140, 27776, 2291, 30, 3056, 858, 81, 1956, 683, 284, 665, 894, 81, 1347, 81, 1956, 81, 266, 81, 2132, 26, 784, 711, 291, 540, 280, 630, 32, 725, 32, 371, 3247, 858, 81, 1956, 370, 1424, 81, 4275, 47, 1815, 27, 291, 630, 32, 5299, 26, 100, 32, 1517, 81, 410, 30, 225, 38, 34, 35, 27, 284, 665, 894, 81, 19716, 81, 1956, 81, 266, 81, 2132, 26, 784, 711, 291, 540, 280, 630, 32, 725, 32, 371, 3247, 858, 81, 1956, 49, 1956, 47, 19716, 81, 1956, 370, 1424, 81, 4275, 47, 1815, 27, 291, 630, 32, 5299, 26, 100, 32, 1517, 81, 410, 30, 225, 38, 34, 35, 27, 284, 665, 894, 81, 11015, 81, 1956, 81, 266, 81, 2132, 81, 19716, 81, 753, 81, 426, 26, 784, 711, 291, 540, 280, 630, 32, 725, 32, 371, 3247, 858, 81, 1956, 49, 1956, 426, 19716, 47, 7241, 370, 1424, 81, 4275, 47, 1815, 27, 291, 630, 32, 5299, 26, 100, 32, 1517, 81, 410, 30, 225, 38, 34, 35, 27, 284, 665, 894, 81, 11015, 81, 1956, 81, 753, 81, 426, 81, 363, 81, 853, 26, 784, 711, 291, 540, 280, 630, 32, 725, 32, 371, 3247, 858, 81, 1956, 49, 1956, 47, 7241, 683, 291, 630, 32, 5299, 26, 100, 32, 1517, 81, 410, 30, 225, 36, 34, 34, 27, 203, 823, 3456, 2644, 2681, 2860, 5262, 4248, 26, 13034, 35506, 711, 284, 665, 12359, 81, 725, 81, 5983, 26, 784, 30, 1359, 711, 291, 1359, 32, 1017, 463, 277, 349, 683, 291, 443, 10806, 2644, 2681, 4248, 26, 2393, 32, 2644, 8161, 4248, 711, 324, 3338, 81, 426, 280, 330, 3758, 31, 2644, 25, 324, 3338, 81, 7241, 280, 330, 3758, 31, 882, 25, 291, 443, 3456, 27776, 2291, 5064, 26, 2178, 1316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 5, 4, 4, 6, 4, 3, 3, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 9, 4, 4, 5, 6, 6, 6, 8, 8, 7, 8, 8, 8, 6, 5, 5, 9, 9, 8, 8, 9, 10, 10, 10, 10, 6, 6, 7, 8, 9, 8, 8, 10, 8, 7, 7, 9, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 9, 4, 4, 5, 6, 6, 6, 6, 8, 7, 8, 8, 8, 6, 5, 5, 9, 9, 8, 8, 10, 10, 10, 10, 6, 6, 9, 9, 8, 8, 10, 10, 10, 10, 4, 4, 5, 6, 6, 6, 6, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 4, 2, 2, 0, 0, 3, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 0, 5, 5, 1, 1, 2, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 465, 5237, 203, 465, 1133, 203, 465, 2322, 203, 465, 11685, 203, 1070, 8527, 32, 2957, 1188, 4070, 30, 2680, 2963, 6760, 203, 1070, 8527, 32, 1262, 1188, 10869, 203, 1070, 8527, 32, 1262, 32, 2200, 32, 11514, 1188, 2587, 1835, 203, 1070, 8527, 32, 858, 32, 28771, 1188, 3079, 81, 29032, 30, 5748, 81, 8968, 203, 1070, 8527, 32, 2387, 1188, 10838, 30, 11522, 30, 10838, 34747, 203, 1070, 8527, 32, 2387, 32, 38150, 1188, 10814, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 43292, 203, 1070, 8527, 32, 2304, 32, 18651, 1188, 33845, 203, 505, 464, 505, 280, 308, 284, 330, 37948, 5679, 370, 330, 1222, 720, 370, 225, 330, 371, 81, 10340, 370, 330, 7106, 81, 3550, 370, 284, 330, 5522, 81, 858, 81, 9236, 370, 330, 44833, 81, 858, 81, 9236, 370, 203, 27, 203, 13381, 9069, 81, 5696, 9135, 81, 11486, 280, 7610, 7318, 81, 2387, 81, 1855, 81, 38150, 25, 203, 823, 18467, 106, 5679, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 909, 30, 15307, 47, 41, 711, 291, 630, 32, 695, 280, 909, 291, 630, 32, 15778, 280, 15307, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 26542, 26, 784, 32, 695, 27, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 415, 630, 32, 695, 610, 1604, 44, 324, 442, 2933, 291, 442, 7818, 26, 3596, 26, 784, 32, 695, 31, 2455, 471, 630, 32, 15778, 27, 610, 225, 34, 203, 823, 7049, 720, 26, 668, 711, 284, 665, 1156, 33644, 3207, 784, 30, 1202, 711, 291, 415, 6937, 26, 678, 30, 1695, 800, 711, 324, 436, 1361, 1819, 328, 630, 44, 400, 415, 1202, 328, 1361, 1819, 44, 528, 442, 1361, 1819, 77, 678, 79, 324, 3636, 25085, 26, 678, 27, 291, 813, 44, 324, 442, 2599, 26, 1222, 720, 30, 630, 14585, 33644, 3207, 678, 27, 284, 665, 1156, 4752, 3207, 784, 30, 1202, 711, 291, 1596, 44, 324, 786, 280, 630, 77, 678, 79, 291, 2940, 25085, 44, 324, 442, 3177, 291, 442, 2933, 203, 589, 16895, 318, 81, 858, 81, 3169, 26, 784, 30, 1619, 711, 284, 3079, 81, 29032, 32, 2714, 26, 8262, 47, 784, 30, 3079, 47, 784, 30, 1619, 47, 1819, 27, 284, 442, 630, 32, 1251, 668, 32, 3169, 26, 1819, 27, 203, 589, 4705, 81, 858, 81, 9236, 2262, 284, 10838, 32, 7318, 81, 3169, 280, 10838, 1114, 3169, 284, 10838, 1114, 3169, 280, 16895, 318, 81, 858, 81, 3169, 284, 10869, 32, 7318, 81, 1935, 81, 7878, 280, 4070, 32, 17945, 81, 36190, 284, 4070, 32, 17945, 81, 36190, 280, 330, 11025, 32, 1262, 32, 2200, 32, 11514, 32, 881, 1835, 32, 4477, 10564, 25, 284, 10869, 32, 541, 1501, 280, 1605, 284, 43292, 346, 203, 589, 40688, 81, 858, 81, 9236, 2262, 284, 10838, 1114, 3169, 280, 10838, 32, 7318, 81, 3169, 284, 3555, 10838, 32, 7318, 81, 3169, 284, 4070, 32, 17945, 81, 36190, 280, 10869, 32, 7318, 81, 1935, 81, 7878, 284, 3555, 10869, 32, 7318, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 7, 4, 4, 5, 8, 10, 10, 13, 12, 13, 11, 12, 10, 8, 9, 10, 8, 6, 6, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 8, 7, 5, 5, 7, 8, 7, 7, 7, 7, 7, 9, 10, 10, 11, 9, 9, 9, 11, 13, 12, 13, 12, 6, 6, 7, 9, 10, 9, 5, 5, 6, 6, 6, 8, 12, 13, 13, 12, 12, 12, 11, 11, 11, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 8, 8, 9, 10, 9, 5, 5, 6, 6, 6, 6, 8, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 6, 6, 5, 6, 5, 7, 6, 7, 5, 5, 6, 7, 5, 5, 6, 7, 5, 2, 2, 3, 6, 7, 7, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 6, 6, 6, 4, 4, 5, 6, 2, 2, 5, 6, 4, 4, 5, 5, 5, 5, 5, 2, 2, 5, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 2, 2, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 6, 6, 4, 4, 2, 2, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 6, 4, 4, 5, 6, 6, 6, 2, 2, 3, 4, 5, 5, 5, 2, 2, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 1, 2, 9, 9, 9, 9, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 3, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 3, 3, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 1, 0, 17, 17, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 17, 17, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 18, 18, 1, 1, 1, 1, 2, 18, 18, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 1, 0, 19, 19, 1, 1, 1, 1, 2, 19, 19, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 3, 1, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 30, 15390, 81, 30839, 203, 1070, 298, 2376, 81, 858, 32, 98, 2376, 81, 1945, 81, 11613, 81, 858, 1188, 447, 2376, 2529, 41405, 203, 823, 2108, 64, 607, 14474, 13034, 26, 66, 2376, 2529, 41405, 711, 334, 665, 894, 81, 6507, 81, 22077, 81, 47967, 81, 1131, 26, 784, 711, 284, 1760, 280, 330, 7899, 33, 1617, 33, 6507, 33, 1088, 33, 98, 2376, 1832, 33, 2763, 33, 7656, 33, 19883, 25, 284, 298, 2376, 81, 1945, 280, 630, 32, 1945, 81, 98, 2376, 26, 397, 2016, 11414, 22077, 370, 1760, 30, 11363, 22290, 2188, 397, 24621, 81, 605, 4310, 291, 330, 465, 1086, 32, 98, 2376, 1832, 32, 2763, 32, 7656, 32, 19883, 32, 19016, 18144, 1548, 78, 96, 25, 291, 330, 3948, 26, 19016, 18144, 1548, 440, 6708, 20, 2037, 27857, 547, 1816, 5421, 96, 25, 397, 2588, 397, 1359, 12516, 5807, 950, 5053, 10500, 81, 13987, 950, 330, 8077, 14474, 21028, 284, 829, 284, 630, 32, 862, 81, 3127, 26, 98, 2376, 81, 1945, 27, 284, 630, 32, 33966, 463, 8279, 30, 10896, 20040, 298, 2376, 81, 1945, 32, 9362, 81, 605, 32, 2998, 4446, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 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, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 8, 8, 9, 12, 12, 10, 10, 10, 12, 12, 8, 8, 10, 10, 9, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 13, 10, 10, 8, 8, 9, 13, 13, 11, 15, 15, 15, 15, 13, 15, 15, 15, 8, 8, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 11, 11, 11, 10, 11, 11, 11, 9, 10, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 5, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1482, 225, 390, 16228, 30724, 604, 97, 62, 716, 1648, 505, 280, 313, 36, 32, 40, 32, 37, 31, 1902, 34, 20, 203, 1648, 280, 1156, 1648, 505, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 3, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 638, 1745, 295, 374, 1188, 319, 261, 203, 1070, 31863, 2942, 81, 1819, 1188, 319, 261, 203, 1070, 31863, 2942, 81, 2282, 1188, 319, 261, 203, 1070, 31863, 2282, 81, 2184, 1188, 319, 261, 203, 1070, 31863, 2942, 81, 1163, 761, 1188, 319, 261, 203, 1070, 31863, 1274, 2024, 1188, 319, 261, 203, 1070, 31863, 3515, 81, 12443, 1188, 319, 261, 203, 1070, 31863, 3515, 81, 6385, 1188, 319, 261, 203, 1070, 31863, 3515, 81, 26164, 1188, 319, 261, 203, 1070, 31863, 3515, 81, 85, 421, 299, 1188, 319, 261, 203, 1070, 31863, 3515, 81, 33167, 1188, 319, 261, 203, 1070, 31863, 3515, 81, 6446, 1188, 319, 261, 203, 1070, 31863, 3515, 81, 30250, 1188, 319, 261, 203, 1070, 31863, 3515, 81, 3707, 1188, 319, 261, 203, 1070, 31863, 3515, 81, 31656, 1188, 319, 261, 203, 1070, 31863, 3515, 81, 15636, 1188, 319, 261, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 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, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 10, 10, 0, 0, 0, 10, 10, 0, 0, 11, 11, 0, 0, 0, 11, 11, 0, 0, 12, 12, 0, 0, 0, 12, 12, 0, 0, 13, 13, 0, 0, 0, 13, 13, 0, 0, 14, 14, 0, 0, 0, 14, 14, 0, 0, 15, 15, 0, 0, 0, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 13625, 1188, 636, 41766, 203, 1070, 4026, 37, 1188, 7479, 37, 30, 8057, 203, 1070, 7744, 1188, 17058, 203, 1070, 16072, 1188, 23480, 203, 11157, 3157, 280, 636, 41766, 440, 11157, 3157, 392, 2107, 102, 370, 330, 98, 370, 330, 4382, 370, 330, 5010, 3490, 203, 823, 27409, 444, 44, 284, 665, 8977, 26, 784, 30, 16072, 3739, 273, 81, 887, 30, 273, 81, 1449, 711, 291, 3636, 15670, 440, 1788, 328, 22948, 657, 203, 823, 44299, 26, 11157, 444, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4193, 30, 10423, 30, 7037, 711, 291, 630, 32, 2390, 280, 4193, 291, 630, 32, 6006, 280, 10423, 291, 630, 32, 5010, 280, 7037, 284, 665, 8977, 26, 784, 30, 16072, 3739, 273, 81, 887, 30, 273, 81, 1449, 711, 291, 1201, 6937, 26, 11528, 3739, 23480, 27, 291, 13208, 280, 16072, 3133, 6946, 429, 630, 32, 2390, 291, 312, 280, 8057, 26, 11528, 3133, 7354, 30, 16072, 3133, 7354, 27, 291, 323, 280, 8057, 26, 542, 30, 16072, 3133, 7354, 27, 291, 281, 280, 8057, 26, 542, 30, 13208, 27, 429, 630, 32, 6006, 319, 630, 32, 6006, 291, 1214, 17481, 692, 280, 323, 319, 323, 429, 312, 319, 281, 291, 415, 1214, 17481, 692, 848, 225, 34, 32, 34, 44, 324, 1779, 280, 7197, 84, 429, 17058, 26, 84, 28, 84, 429, 312, 319, 281, 490, 517, 312, 324, 415, 273, 81, 887, 333, 1779, 333, 273, 81, 1449, 44, 400, 298, 280, 16072, 3133, 1493, 81, 269, 81, 5609, 26, 1433, 27, 400, 8814, 280, 27409, 3157, 26, 102, 47, 1433, 30, 1378, 298, 47, 98, 30, 1378, 4302, 4310, 98, 429, 630, 32, 2390, 27, 517, 630, 32, 6006, 30, 1378, 7037, 47, 784, 32, 5010, 1378, 829, 400, 442, 2933, 30, 8814, 324, 1779, 280, 7197, 84, 474, 17058, 26, 84, 28, 84, 429, 312, 319, 281, 490, 517, 312, 324, 415, 273, 81, 887, 333, 1779, 333, 273, 81, 1449, 44, 400, 298, 280, 16072, 3133, 1493, 81, 269, 81, 5609, 26, 1433, 27, 400, 8814, 280, 27409, 3157, 26, 102, 47, 1433, 30, 1378, 298, 47, 98, 30, 1378, 4302, 4310, 98, 429, 630, 32, 2390, 27, 517, 630, 32, 6006, 30, 1378, 7037, 47, 784, 32, 5010, 1378, 829, 400, 442, 2933, 30, 8814, 291, 442, 3177, 30, 1665, 203, 823, 27409, 444, 720, 26, 11157, 444, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 23312, 280, 1605, 284, 665, 5489, 26, 784, 30, 6024, 711, 291, 630, 32, 23312, 32, 1689, 26, 3229, 27, 284, 665, 8977, 26, 784, 30, 16072, 3739, 273, 81, 887, 30, 273, 81, 1449, 711, 291, 8977, 81, 41578, 280, 3177, 291, 18122, 81, 762, 81, 14823, 280, 273, 81, 1449, 291, 8814, 280, 1665, 291, 436, 6024, 328, 630, 32, 23312, 44, 324, 8977, 30, 3691, 4875, 280, 6024, 32, 11357, 26, 11528, 3739, 273, 81, 887, 30, 18122, 81, 762, 81, 14823, 27, 324, 415, 8977, 44, 400, 8977, 81, 41578, 280, 2933, 400, 18122, 81, 762, 81, 14823, 280, 3691, 4875, 32, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 2, 2, 4, 4, 6, 6, 6, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 0, 1, 1, 2, 1, 1, 1, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 7, 9, 9, 9, 9, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 7, 8, 8, 7, 7, 4, 4, 6, 6, 9, 9, 7, 7, 8, 9, 4, 4, 6, 6, 8, 10, 10, 10, 8, 8, 10, 10, 8, 4, 4, 6, 6, 8, 9, 8, 8, 10, 10, 8, 4, 4, 6, 6, 9, 10, 9, 9, 9, 7, 7, 9, 10, 8, 8, 9, 10, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 8, 8, 4, 4, 5, 7, 7, 6, 6, 7, 7, 7, 5, 5, 5, 8, 8, 13, 11, 11, 13, 16, 15, 16, 14, 14, 15, 15, 13, 9, 9, 6, 6, 7, 9, 9, 8, 8, 8, 8, 9, 9, 7, 7, 7, 10, 10, 13, 13, 13, 13, 13, 13, 12, 13, 12, 8, 8, 10, 10, 12, 12, 14, 13, 14, 12, 12, 12, 13, 14, 12, 12, 12, 13, 17, 16, 16, 17, 18, 15, 14, 14, 15, 16, 12, 12, 12, 13, 15, 14, 15, 12, 12, 8, 8, 9, 10, 10, 6, 6, 8, 8, 13, 11, 11, 13, 16, 15, 16, 14, 14, 15, 15, 13, 9, 9, 6, 6, 7, 9, 9, 8, 8, 8, 8, 9, 9, 7, 7, 7, 10, 10, 13, 13, 13, 13, 13, 13, 12, 13, 12, 8, 8, 10, 10, 12, 12, 14, 13, 14, 12, 12, 12, 13, 14, 12, 12, 12, 13, 17, 16, 16, 17, 18, 15, 14, 14, 15, 16, 12, 12, 12, 13, 15, 14, 15, 12, 12, 8, 8, 9, 10, 10, 4, 4, 5, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 5, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 4, 4, 6, 6, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 9, 9, 10, 8, 8, 10, 11, 10, 11, 11, 10, 11, 11, 10, 10, 11, 11, 11, 11, 10, 6, 6, 7, 7, 7, 7, 11, 11, 10, 10, 8, 8, 11, 11, 11, 11, 10, 10, 12, 11, 12 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 0, 5, 5, 1, 5, 5, 5, 0, 2, 1, 2, 2, 3, 2, 5, 5, 2, 2, 7, 7, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 6, 6, 2, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 3, 2, 5, 5, 2, 2, 7, 7, 2, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 6, 0, 0, 1, 1, 2, 2, 2, 6, 6, 6, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 3, 3, 1, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 7, 0, 2, 2, 1, 1, 3, 3, 2, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 3, 3, 3, 0, 0, 1, 1, 1, 1, 4, 4, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 7, 0, 2, 2, 1, 1, 3, 3, 2, 1, 1, 4, 4, 7, 1, 1, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 3, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 5, 5, 1, 5, 5, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2 ]
[ 465, 19493, 203, 465, 2322, 203, 465, 22977, 203, 1070, 44524, 1188, 44524, 203, 1070, 8527, 32, 1262, 32, 2536, 1188, 1779, 619, 29590, 203, 1070, 8527, 32, 1262, 32, 2536, 32, 30939, 761, 1188, 7155, 32945, 974, 203, 1070, 8527, 32, 525, 32, 6844, 568, 491, 282, 509, 1188, 10473, 2639, 2825, 203, 1070, 8527, 32, 858, 1188, 19205, 30, 2043, 203, 1070, 8527, 32, 2304, 1188, 4281, 1260, 203, 1070, 8527, 32, 2304, 1188, 15798, 203, 1070, 8527, 32, 2304, 32, 2888, 8524, 1188, 9637, 81, 9430, 203, 1070, 4549, 1188, 2032, 1243, 30, 1779, 81, 4219, 30, 10161, 5696, 81, 1407, 203, 465, 7623, 4531, 203, 29978, 81, 18829, 280, 1044, 1330, 445, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 81, 35994, 81, 1527, 21453, 693, 32, 3072, 25, 203, 823, 2032, 7845, 4470, 26, 7233, 711, 284, 665, 894, 81, 6656, 81, 4462, 26, 784, 711, 291, 2364, 81, 605, 280, 301, 324, 330, 426, 950, 330, 16837, 97, 370, 324, 330, 761, 81, 1495, 950, 2156, 4064, 761, 36762, 291, 320, 291, 1789, 280, 630, 32, 1580, 32, 1526, 3247, 761, 81, 11255, 33, 4462, 13093, 2364, 81, 605, 27, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 36, 34, 34, 27, 284, 665, 894, 81, 9365, 81, 4462, 26, 784, 711, 291, 273, 1515, 280, 29590, 32, 371, 1433, 1515, 346, 291, 803, 35, 280, 29590, 32, 11049, 24723, 974, 26, 12420, 26328, 761, 35, 392, 4921, 47, 671, 476, 27, 291, 803, 35, 32, 1821, 463, 83, 25, 319, 308, 36, 1115, 225, 36, 35, 490, 291, 803, 35, 32, 14408, 26, 34, 27, 291, 803, 36, 280, 29590, 32, 11049, 24723, 974, 26, 12420, 26328, 761, 36, 392, 4921, 47, 671, 476, 27, 291, 803, 36, 32, 1821, 463, 83, 25, 319, 308, 35, 34, 319, 225, 36, 1115, 225, 36, 34, 490, 291, 803, 36, 32, 14408, 26, 34, 27, 291, 2364, 81, 605, 280, 301, 324, 330, 426, 950, 330, 16837, 97, 370, 324, 330, 761, 81, 1495, 35, 950, 803, 35, 30, 324, 330, 761, 81, 1495, 36, 950, 803, 36, 30, 324, 320, 291, 436, 1202, 328, 2364, 81, 605, 32, 3494, 2262, 324, 1596, 44, 400, 2364, 81, 605, 77, 678, 474, 7610, 2888, 785, 280, 9637, 81, 9430, 26, 1526, 81, 605, 77, 678, 997, 850, 4251, 6949, 13995, 346, 400, 2364, 81, 605, 77, 678, 997, 14408, 26, 34, 27, 324, 2940, 29316, 44, 400, 2364, 81, 605, 77, 678, 474, 7610, 2888, 785, 280, 9637, 81, 9430, 26, 1526, 81, 605, 77, 678, 8492, 6949, 13995, 346, 291, 1789, 280, 630, 32, 1580, 32, 1526, 3247, 761, 81, 11255, 33, 6967, 13093, 2364, 81, 605, 27, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 36, 34, 34, 27, 284, 665, 894, 81, 9941, 81, 761, 81, 426, 26, 784, 711, 291, 273, 1515, 280, 29590, 32, 371, 1433, 1515, 346, 291, 588, 947, 91, 264, 803, 35, 280, 2156, 26, 500, 32, 983, 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, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 2, 2, 2, 3, 3, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 3, 3, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 11, 11, 7, 7, 4, 7, 7, 6, 10, 10, 10, 8, 9, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 2, 3, 4, 4, 4, 4, 4, 4, 5, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11, 8, 8, 10, 9, 10, 4, 4, 8, 8, 8, 8, 8, 8, 10, 10, 8, 9, 11, 10, 10, 10, 4, 4, 8, 8, 7, 8, 8, 8, 4, 4, 7, 7, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11, 8, 8, 10, 9, 10, 4, 4, 8, 8, 8, 8, 8, 8, 10, 10, 8, 8, 9, 11, 11, 10, 12, 11, 11, 11, 4, 4, 8, 8, 7, 8, 8, 8, 4, 4, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 8, 9, 9, 7, 7, 10, 10, 10, 10, 10, 8, 9, 9, 7, 7, 4, 4, 5, 6, 5, 8, 8, 8, 7, 8, 5, 5, 5, 7, 7, 12, 12, 12, 12, 13, 12, 14, 14, 14, 10, 10, 14, 14, 14, 18, 18, 18, 18, 18, 16, 17, 14, 13, 13, 8, 8, 13, 13, 13, 13, 13, 11, 12, 12, 12, 7, 8, 9, 9, 8, 8, 13, 13, 13, 13, 14, 13, 15, 15, 15, 11, 11, 15, 15, 15, 17, 17, 17, 17, 17, 15, 14, 14, 4, 7, 7, 6, 10, 10, 10, 8, 9, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 4, 4, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 3, 3, 0, 5, 5, 1, 2, 1, 4, 1, 6, 6, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 4, 4, 4, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 7, 7, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 0, 9, 9, 1, 2, 9, 9, 0, 10, 10, 1, 2, 1, 4, 4, 10, 10, 0, 0, 0, 11, 11, 11, 11, 0, 11, 11, 0, 0, 11, 11, 0, 0, 0, 0, 12, 12, 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, 14, 14, 1, 1, 1, 1, 1, 14, 14, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 3, 0, 1, 1, 2, 2, 4, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 3, 2, 4, 4, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 3, 2, 4, 4, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 2, 2, 2, 2, 0, 1, 1, 1, 1, 5, 2, 2, 2, 2, 4, 4, 8, 1, 8, 0, 0, 0, 0, 2, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 3, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 4, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 35812, 32, 10472, 619, 23689, 203, 465, 6436, 619, 2065, 203, 465, 5237, 203, 465, 2181, 203, 465, 5741, 203, 7490, 32, 6390, 1063, 26, 1643, 31197, 26, 302, 27749, 27, 101, 429, 18147, 2649, 426, 27, 101, 429, 18147, 1436, 27, 101, 683, 203, 4073, 280, 5741, 32, 10579, 440, 10472, 657, 203, 4073, 32, 34318, 26, 7490, 32, 1589, 27, 203, 589, 21506, 26, 1132, 711, 284, 3668, 280, 23689, 32, 23696, 9185, 26, 34, 27, 415, 2181, 32, 539, 81, 9873, 813, 23689, 32, 9942, 9185, 346, 284, 30150, 280, 23689, 32, 7584, 26, 1850, 27, 284, 623, 23689, 32, 3473, 81, 10717, 26, 10472, 32, 5504, 22805, 291, 21506, 81, 5784, 30, 6985, 81, 1977, 81, 4243, 30, 5630, 81, 6862, 280, 23689, 32, 716, 32, 944, 81, 27527, 81, 1160, 26, 1132, 32, 1160, 81, 1515, 30, 30150, 27, 291, 38560, 81, 891, 280, 225, 35, 34, 34, 291, 456, 81, 29349, 280, 1605, 291, 3400, 81, 94, 81, 21150, 280, 1605, 291, 436, 595, 328, 2155, 26, 3287, 81, 891, 711, 324, 456, 81, 67, 280, 2065, 32, 3855, 32, 6386, 26, 35, 30, 2181, 32, 26088, 15730, 81, 54, 27, 324, 456, 81, 29349, 32, 1689, 26, 94, 81, 67, 27, 324, 456, 81, 54, 280, 2065, 32, 3855, 32, 6386, 26, 35, 30, 2181, 32, 26088, 15730, 81, 54, 27, 324, 3400, 81, 94, 81, 21150, 32, 1689, 26, 94, 81, 54, 27, 291, 736, 280, 1605, 291, 436, 595, 328, 2155, 26, 3287, 81, 891, 711, 324, 457, 81, 4485, 280, 30150, 32, 1945, 26, 22987, 81, 5784, 30, 4511, 6985, 7814, 1217, 563, 456, 81, 29349, 77, 91, 997, 15315, 463, 1808, 37, 36, 1814, 12091, 26, 35, 30, 1132, 32, 26088, 15730, 81, 54, 471, 656, 313, 1427, 81, 966, 563, 3400, 81, 94, 81, 21150, 77, 91, 997, 15315, 463, 1808, 37, 36, 1814, 12091, 26, 35, 30, 1132, 32, 26088, 15730, 81, 54, 11918, 4511, 5630, 81, 668, 47, 5140, 81, 6862, 30, 4511, 442, 81, 10337, 47, 1815, 27, 324, 4082, 32, 1338, 440, 1217, 81, 1427, 81, 4485, 44, 28315, 39, 88, 16054, 1643, 26, 2356, 32, 955, 26, 468, 81, 4485, 547, 12091, 3736, 35, 30, 35, 5594, 34, 1674, 34, 5259, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 1188, 35812, 284, 35812, 32, 4898, 81, 1574, 346, 284, 2181, 280, 2181, 32, 2208, 81, 1132, 346, 284, 21506, 26, 1132, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 4, 3, 4, 4, 3, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 5, 4, 6, 6, 0, 4, 3, 4, 3, 5, 4, 5, 3, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 7, 8, 8, 7, 8, 7, 5, 5, 6, 7, 7, 7, 5, 5, 7, 8, 8, 7, 2, 2, 4, 4, 6, 7, 6, 7, 6, 2, 2, 3, 7, 8, 8, 8, 7, 10, 9, 10, 9, 3, 3, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 8, 4, 4, 7, 7, 6, 6, 7, 7, 7, 4, 4, 7, 7, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 7, 8, 8, 8, 7, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 11, 12, 12, 12, 12, 10, 6, 6, 10, 10, 9, 10, 9, 10, 10, 10, 9, 6, 6, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 11, 12, 12, 12, 12, 10, 6, 6, 10, 10, 10, 10, 9, 10, 9, 10, 10, 10, 9, 4, 4, 6, 6, 4, 4, 5, 5, 5, 7, 8, 8, 8, 7, 5, 5, 9, 9, 8, 8, 10, 11, 10, 11, 11, 11, 10, 10, 10, 11, 15, 15, 13, 19, 19, 18, 19, 18, 18, 17, 19, 19, 19, 19, 16, 15, 16, 15, 17, 16, 17, 17, 17, 17, 15, 12, 12, 15, 15, 15, 15, 13, 19, 19, 19, 19, 18, 19, 18, 18, 17, 19, 19, 19, 19, 16, 15, 16, 15, 17, 16, 17, 17, 17, 17, 15, 10, 10, 12, 12, 11, 12, 12, 12, 10, 10, 10, 12, 12, 11, 12, 10, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 18, 17, 18, 17, 18, 18, 18, 17, 16, 15, 17, 15, 16, 15, 14, 13, 13, 12, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 2, 2, 5, 6, 6, 6, 5, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 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 ]
[ 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 8, 8, 2, 1, 2, 8, 8, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 4, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 3, 3, 6, 6, 6, 1, 1, 1, 1, 1, 6, 6, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 3, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 2, 0, 2, 1, 0, 9, 9, 0, 0, 1, 1, 1, 1, 9, 9, 0, 3, 3, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 203, 61, 431, 303, 604, 225, 35, 40, 203, 35, 38, 32, 35, 35, 32, 36, 34, 35, 38, 203, 2185, 575, 8092, 8431, 203, 9592, 203, 465, 1133, 203, 1070, 12500, 1188, 3619, 3399, 619, 5743, 203, 1070, 394, 642, 35, 40, 2518, 1188, 319, 203, 589, 1133, 4206, 26, 1298, 30, 319, 1132, 711, 284, 1477, 280, 1133, 32, 9100, 346, 284, 3420, 2740, 1132, 27, 284, 442, 1133, 32, 9100, 346, 429, 1477, 203, 589, 10081, 81, 1903, 26, 9980, 30, 1929, 711, 284, 436, 1623, 328, 20265, 44, 291, 415, 1623, 610, 1929, 44, 324, 442, 2933, 284, 442, 3177, 203, 589, 5298, 81, 1903, 26, 9980, 30, 1929, 30, 3844, 47, 2700, 711, 284, 415, 3844, 44, 291, 20265, 280, 8594, 26, 9980, 27, 284, 3960, 266, 280, 225, 34, 284, 3960, 648, 280, 2069, 26, 9980, 7824, 35, 284, 2218, 3960, 648, 2377, 3960, 266, 44, 291, 3960, 314, 280, 308, 449, 266, 29, 449, 648, 27, 434, 225, 36, 291, 415, 20265, 77, 449, 314, 79, 610, 1929, 44, 324, 442, 2933, 291, 4348, 20265, 77, 449, 314, 79, 333, 1929, 44, 324, 3960, 266, 280, 3960, 314, 474, 225, 35, 291, 813, 44, 324, 3960, 648, 280, 3960, 314, 429, 225, 35, 284, 442, 3177, 203, 589, 2575, 2262, 284, 10081, 9695, 280, 1605, 284, 5298, 35, 9695, 280, 1605, 284, 5298, 36, 9695, 280, 1605, 284, 8752, 280, 428, 36, 326, 91, 436, 595, 328, 2155, 26, 35, 30, 225, 35, 37, 2177, 284, 436, 310, 328, 8752, 44, 291, 20265, 30, 4479, 280, 485, 449, 289, 81, 1772, 81, 1131, 26, 96, 30, 313, 27028, 657, 291, 6496, 280, 1605, 291, 436, 595, 328, 2155, 26, 1657, 26, 9980, 8531, 324, 6496, 32, 1689, 26, 1003, 4206, 26, 8362, 81, 1903, 30, 20265, 30, 2354, 26, 2518, 2610, 291, 14626, 81, 1003, 280, 3632, 26, 5571, 27, 517, 2069, 26, 5571, 27, 291, 10081, 9695, 32, 1689, 26, 10074, 81, 1003, 27, 291, 6496, 280, 1605, 291, 8594, 720, 280, 8594, 26, 9980, 27, 291, 436, 595, 328, 2155, 26, 1657, 26, 9980, 8531, 324, 6496, 32, 1689, 26, 1003, 4206, 26, 7003, 81, 1903, 30, 8594, 720, 30, 2354, 26, 2518, 2610, 291, 14626, 81, 1003, 280, 3632, 26, 5571, 27, 517, 2069, 26, 5571, 27, 291, 5298, 35, 9695, 32, 1689, 26, 10074, 81, 1003, 27, 291, 6496, 280, 1605, 291, 436, 595, 328, 2155, 26, 1657, 26, 9980, 8531, 324, 6496, 32, 1689, 26, 1003, 4206, 26, 7003, 81, 1903, 30, 20265, 30, 2354, 26, 2518, 471, 2933, 490, 291, 14626, 81, 1003, 280, 3632, 26, 5571, 27, 517, 2069, 26, 5571, 27, 291, 5298, 36, 9695, 32, 1689, 26, 10074, 81, 1003, 27, 284, 1459, 35619, 8218, 766, 102, 110, 310, 766, 102, 78, 102, 110, 1133, 308, 101, 14451, 284, 1459, 346, 284, 436, 595, 30, 310, 328, 10703, 26, 2425, 711, 291, 415, 310, 333, 225, 35, 34, 34, 34, 34, 44, 324, 1459, 35619, 301, 34, 111, 766, 102, 110, 301, 35, 111, 766 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 1, 1, 4, 2, 2, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 2, 4, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 5, 7, 5, 2, 2, 3, 6, 7, 6, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 3, 5, 6, 6, 5, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 3, 3, 3, 6, 6, 8, 9, 8, 2, 2, 5, 4, 4, 5, 2, 2, 5, 4, 4, 7, 8, 7, 6, 2, 2, 3, 5, 4, 4, 5, 3, 3, 3, 7, 6, 6, 10, 10, 9, 10, 10, 8, 7, 7, 8, 4, 4, 5, 7, 8, 8, 7, 6, 6, 5, 5, 5, 7, 5, 5, 6, 8, 9, 9, 8, 7, 7, 6, 6, 6, 10, 9, 9, 11, 10, 10, 11, 5, 5, 6, 6, 6, 10, 9, 9, 11, 10, 10, 11, 2, 2, 3, 0, 1, 1, 2, 1, 1, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 7, 6, 7, 5, 6, 6, 6, 8, 9, 8, 8, 9, 9, 8, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 4, 4, 6, 6, 4, 4, 5, 5, 5, 7, 9, 9, 10, 9, 5, 5, 9, 10, 9, 11, 11, 11, 12, 12, 12, 11, 11, 11, 11, 13, 14, 13, 4, 4, 7, 7, 6, 6, 9, 10, 9, 7, 7, 9, 10, 9, 4, 4, 8, 7, 8, 7, 8, 8, 8, 7, 4, 4, 6, 6, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 7, 9, 9, 10, 9, 5, 5, 9, 10, 9, 11, 11, 11, 12, 12, 12, 11, 11, 12, 11, 11, 13, 14, 13, 4, 4, 7, 7, 6, 6, 9, 10, 9, 7, 7, 9, 10, 9, 4, 4, 8, 8, 7, 8, 7, 8, 8, 8, 7, 4, 4, 6, 6, 4, 4, 5, 5, 5, 7, 9, 9, 10, 9, 5, 5, 9, 10, 9, 11, 11, 11, 12, 12, 12, 11, 11, 11, 11, 13, 14, 13, 11, 11, 4, 4, 7, 7, 6, 6, 9, 10, 9, 7, 7, 9, 10, 9, 4, 4, 8, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 5, 7, 7, 8, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 2, 2, 5, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 3, 3, 5, 6, 6, 7, 7, 7, 7, 7, 5, 5, 5, 9, 13, 13, 13, 13, 14, 13, 13, 13, 13, 13 ]
[ 0, 1, 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, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 4, 4, 1, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 1, 0, 5, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 1, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 3, 0, 1, 1, 2, 3, 3, 3, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 3, 3, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 4, 0, 2, 2, 0, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 5, 5, 5, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 0, 7, 7, 2, 7, 7, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 5, 5, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 5, 5, 0, 0, 0, 1, 1, 1, 5, 5, 7, 7, 7, 1, 0, 1, 1, 1, 7, 7, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 5, 5, 11, 11, 11, 1, 0, 1, 1, 1, 11, 11, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 4, 4, 7, 1, 1, 7, 7, 1, 1, 1, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1 ]
[ 9592, 203, 19253, 61, 8218, 436, 7049, 7823, 6633, 203, 6259, 44, 1884, 819, 103, 742, 2523, 8278, 203, 15716, 35, 39, 38, 30, 41765, 19280, 11437, 203, 9592, 203, 465, 5237, 30, 35382, 203, 465, 2322, 203, 465, 802, 203, 1449, 24504, 2567, 280, 225, 35, 34, 34, 225, 203, 1881, 2567, 280, 225, 38, 203, 12191, 280, 3813, 34, 79, 319, 225, 37, 436, 595, 328, 2155, 26, 1449, 24504, 2567, 29, 35, 2177, 203, 9592, 590, 836, 2927, 101, 328, 1884, 418, 14265, 13574, 3720, 308, 9350, 56, 27, 334, 11351, 77, 91, 1674, 34, 79, 438, 322, 1451, 436, 322, 2677, 308, 34, 112, 37, 30, 225, 34, 44, 358, 225, 35, 44, 399, 30, 225, 36, 44, 551, 30, 225, 37, 44, 390, 27, 334, 1670, 458, 11351, 438, 399, 396, 6695, 308, 8268, 4886, 471, 1615, 11351, 77, 91, 1674, 35, 79, 461, 11351, 77, 91, 1674, 36, 79, 1098, 4799, 322, 7515, 436, 3282, 3134, 4886, 334, 1670, 458, 11351, 438, 399, 396, 83, 308, 83, 3982, 10719, 471, 1615, 11351, 77, 91, 1674, 35, 79, 1098, 4799, 322, 1451, 436, 322, 10719, 308, 34, 556, 225, 35, 30, 225, 34, 44, 312, 30, 225, 35, 44, 323, 471, 11351, 77, 91, 1674, 36, 79, 6593, 35, 9592, 203, 74, 280, 3813, 77, 2700, 6603, 37, 436, 595, 328, 2155, 26, 35, 34, 2177, 436, 594, 328, 2155, 26, 35, 34, 2177, 203, 9592, 74, 77, 91, 1674, 92, 1674, 101, 7770, 1508, 415, 461, 1755, 415, 2677, 309, 308, 34, 112, 37, 30, 225, 34, 44, 358, 225, 35, 44, 399, 30, 225, 36, 44, 551, 30, 225, 37, 44, 390, 27, 438, 328, 1593, 81, 5793, 3417, 328, 19253, 61, 334, 14644, 3605, 322, 3104, 432, 802, 372, 526, 11451, 438, 498, 30, 1615, 225, 34, 10040, 91, 10040, 92, 46, 62, 5881, 203, 589, 2307, 19150, 26, 83, 30, 323, 30, 281, 711, 284, 3649, 11351, 284, 436, 595, 328, 2155, 26, 1657, 26, 12191, 8531, 291, 415, 1833, 12191, 77, 91, 1674, 34, 22633, 83, 27, 461, 324, 308, 12191, 77, 91, 1674, 35, 22633, 84, 27, 461, 324, 308, 12191, 77, 91, 1674, 36, 22633, 85, 8531, 324, 442, 2933, 284, 442, 3177, 203, 9592, 12721, 61, 8218, 664, 14883, 322, 1417, 1593, 664, 341, 438, 322, 802, 372, 526, 11451, 9592, 203, 589, 11648, 12721, 61, 26, 105, 711, 284, 3649, 1593, 284, 3649, 7329, 2567, 284, 498, 47, 1657, 26, 105, 27, 284, 1593, 6020, 9532, 2700, 6603, 1881, 2567, 436, 595, 328, 2155, 26, 62, 2177, 436, 594, 328, 2155, 26, 62, 2177, 284, 436, 816, 328, 2155, 26, 62, 711, 291, 11648, 81, 3376, 81, 6390, 26, 106, 30, 341, 27, 284, 436, 1673, 328, 2155, 26, 35, 30, 62, 711, 291, 11648, 81, 643, 26, 2452, 30, 498, 27, 284, 3691, 280, 3813, 1322, 1147, 26, 91, 27, 436, 595, 328, 594, 79, 436, 594, 328, 1593, 79, 284, 1593, 280, 3691, 203, 589, 11648, 81, 643, 26, 2452, 30, 456, 711, 284, 3649, 1593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 2, 2, 3, 0, 3, 2, 2, 6, 5, 4, 4, 5, 3, 4, 4, 4, 6, 8, 8, 8, 7, 8, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 6, 7, 6, 6, 4, 5, 5, 5, 7, 8, 8, 7, 3, 4, 4, 4, 6, 7, 7, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 3, 3, 3, 5, 7, 7, 8, 7, 3, 3, 5, 13, 12, 13, 12, 12, 11, 11, 9, 8, 8, 8, 13, 12, 13, 12, 12, 11, 11, 9, 7, 7, 7, 12, 11, 12, 11, 11, 10, 10, 8, 5, 5, 7, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 2, 2, 3, 4, 2, 2, 4, 6, 6, 7, 6, 2, 2, 4, 6, 9, 8, 8, 8, 6, 7, 7, 7, 9, 10, 9, 5, 6, 6, 6, 8, 9, 8, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 7, 7, 7, 7, 7, 8, 7, 7, 7, 2, 2, 3, 3, 3, 5, 6, 5, 6, 5, 3, 3, 7, 7, 7, 8, 7, 7, 7, 2, 2, 4, 4, 8, 8, 8, 9, 8, 6, 7, 7, 7, 6, 5, 6, 6, 6, 5, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 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, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 10, 10, 1, 2, 1, 2, 2, 2, 2, 2, 10, 10, 0, 4, 4, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 4, 4, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 4, 4, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 5, 5, 5, 1, 1, 1, 3, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 13, 13, 1, 1, 2, 1, 2, 2, 2, 13, 13, 0 ]
[ 465, 42406, 203, 465, 17787, 203, 465, 2361, 203, 465, 2322, 203, 465, 316, 203, 465, 29590, 203, 465, 1133, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 1070, 2322, 315, 81, 2304, 1188, 9991, 203, 465, 18792, 203, 1070, 281, 15130, 1188, 7596, 203, 1070, 281, 15130, 1188, 3082, 203, 1070, 281, 15130, 1188, 3756, 203, 1070, 281, 15130, 1188, 8745, 203, 1070, 281, 15130, 32, 91, 35, 42, 96, 1188, 4950, 617, 815, 30, 617, 1798, 30, 617, 27812, 203, 1070, 281, 15130, 32, 893, 1188, 1778, 81, 2304, 203, 1070, 281, 15130, 32, 7236, 1188, 5398, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 28101, 81, 6363, 280, 428, 284, 8444, 32, 2007, 5482, 463, 28101, 81, 639, 370, 3083, 1244, 26409, 3083, 3049, 1057, 2027, 2965, 556, 11212, 426, 432, 489, 1099, 2664, 41365, 284, 8444, 32, 2007, 5482, 463, 28101, 81, 3615, 370, 3083, 1244, 1057, 2300, 370, 3083, 3049, 1057, 1240, 636, 372, 5008, 372, 489, 1099, 2664, 41365, 284, 8444, 32, 2007, 5482, 463, 28101, 81, 2895, 370, 3083, 1244, 26409, 3083, 3049, 1057, 4049, 372, 5008, 372, 489, 1099, 2664, 6418, 3083, 9313, 47, 1815, 471, 284, 8444, 32, 1428, 5482, 463, 28101, 81, 9404, 81, 625, 370, 3083, 1244, 47, 36, 36, 30, 3083, 1847, 47, 35, 30, 1769, 47, 40, 39, 39, 37, 39, 30, 3083, 3049, 1057, 19466, 2601, 372, 793, 372, 5008, 372, 489, 1099, 2664, 41365, 284, 8444, 32, 2007, 5482, 463, 28101, 81, 2055, 81, 678, 370, 3083, 1244, 26409, 3083, 3049, 1057, 10239, 432, 945, 1202, 372, 793, 436, 17727, 9156, 41365, 284, 8444, 32, 2007, 5482, 463, 28101, 81, 11850, 81, 761, 81, 14663, 370, 3083, 1244, 1057, 2837, 370, 3083, 3049, 37346, 6668, 3984, 31, 32947, 4759, 10737, 372, 26391, 328, 312, 330, 3486, 330, 11850, 4706, 2154, 3051, 3193, 2857, 438, 646, 330, 3486, 330, 462, 13779, 32, 1670, 739, 372, 3177, 30, 2857, 438, 619, 322, 3051, 1256, 330, 3486, 330, 363, 328, 11850, 32, 1670, 739, 372, 2933, 30, 2857, 438, 646, 619, 3051, 32, 330, 3486, 330, 2797, 739, 372, 2267, 30, 312, 1505, 438, 3390, 372, 9921, 415, 458, 438, 330, 3486, 330, 83, 537, 11122, 44, 2933, 438, 1654, 415, 1259, 30, 5878, 330, 3486, 330, 2700, 32, 4101, 438, 2267, 11834, 471, 284, 8444, 32, 2007, 5482, 463, 28101, 81, 11850, 81, 761, 81, 11893, 370, 3083, 1244, 1057, 2837, 370, 3083, 3049, 37346, 885, 1829, 14706, 803, 4227, 544, 3984, 31, 32947, 330, 3486, 330, 4219, 6864, 2276, 372, 21432, 33001, 1604, 33, 5860, 330, 3486, 330, 3560, 32, 1670, 739, 372, 3177, 30, 21970, 884, 3272, 623, 2156, 330, 3486, 330, 11893, 32, 1670, 739, 372, 2933, 30, 21970, 884, 3272, 623, 330, 3486, 330, 11893, 436, 322, 281, 15130, 1256, 461, 2350, 308, 40, 40, 34, 547, 1670, 330, 3486, 330, 470, 372, 2267, 30, 312, 1505, 438, 3390, 372, 9921, 415, 330, 3486, 330, 578, 438, 312, 537, 11122, 44, 2933 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 5, 5, 6, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 5, 5, 6, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 5, 5, 6, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 7, 5, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 5, 6, 7, 7, 5, 5, 5, 6, 7, 5, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 5, 6, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 8, 8, 5, 5, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 5, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 8, 8, 5, 5, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 0, 7, 7, 0, 8, 8, 0, 0, 0, 8, 8, 3, 3, 0, 9, 9, 0, 0, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 11, 11, 0, 12, 12, 0, 12, 12, 0, 13, 13, 0, 13, 13, 0, 14, 14, 0, 14, 14, 0, 15, 15, 0, 1, 2, 2, 2, 2, 15, 15, 15, 0, 15, 15, 0, 15, 15, 0, 0, 16, 16, 0, 1, 2, 16, 16, 0, 0, 0, 17, 17, 0, 1, 2, 17, 17, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 1, 1, 5, 2, 1, 1, 7, 2, 2, 2, 2, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 14208, 38, 1188, 39231, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 1188, 10548, 203, 1070, 341, 48195, 32, 1262, 32, 3378, 1188, 6012, 30, 7679, 444, 203, 1070, 341, 48195, 32, 1262, 32, 4151, 1188, 22806, 10215, 30, 7537, 1176, 203, 1070, 341, 48195, 32, 2300, 32, 3176, 81, 14458, 1188, 5692, 3669, 30, 7537, 1176, 3669, 30, 29662, 3669, 203, 1070, 341, 48195, 32, 2242, 32, 3176, 81, 14458, 1188, 4361, 21246, 3669, 203, 1070, 341, 48195, 32, 17274, 32, 3176, 81, 14458, 1188, 6211, 21246, 3669, 203, 1070, 341, 48195, 32, 6912, 101, 32, 8587, 1188, 21968, 2227, 203, 1070, 341, 48195, 32, 1903, 1188, 1650, 203, 1070, 341, 48195, 32, 1262, 1188, 9058, 203, 1070, 341, 48195, 32, 1262, 32, 8587, 1188, 3319, 2227, 30, 10791, 2227, 30, 7537, 2227, 30, 5692, 2227, 30, 7687, 2227, 30, 22806, 39139, 30, 16289, 4424, 2227, 203, 1070, 341, 48195, 32, 2242, 32, 8587, 1188, 4361, 21246, 2227, 203, 1070, 341, 48195, 32, 17274, 32, 8587, 1188, 6211, 21246, 2227, 203, 1070, 341, 48195, 32, 24591, 32, 8587, 1188, 16569, 10317, 21246, 2227, 203, 1070, 341, 48195, 32, 24591, 32, 3176, 81, 14458, 1188, 16569, 10317, 21246, 3669, 203, 1070, 341, 48195, 32, 24591, 32, 3378, 1188, 3909, 81, 20511, 203, 1070, 341, 48195, 32, 1237, 1188, 2330, 1176, 203, 1070, 341, 48195, 32, 2242, 32, 1237, 32, 4151, 1188, 4361, 68, 416, 697, 1176, 203, 1070, 341, 48195, 32, 1262, 32, 3378, 1188, 13957, 203, 1070, 1542, 5176, 32, 4151, 1188, 15064, 279, 953, 203, 1070, 1542, 5176, 32, 12023, 32, 2142, 2912, 1188, 12122, 2633, 15329, 1572, 203, 1070, 2604, 2912, 32, 3378, 1188, 9130, 3886, 1097, 1761, 203, 1070, 2156, 270, 648, 32, 8239, 1188, 1968, 81, 893, 81, 965, 203, 1070, 34545, 32, 3378, 1188, 21538, 2028, 203, 823, 4361, 21246, 2227, 26, 1658, 21246, 2227, 711, 284, 665, 622, 81, 1237, 81, 15350, 26, 784, 30, 786, 30, 1619, 47, 2521, 711, 291, 415, 786, 44, 324, 442, 301, 400, 330, 314, 950, 786, 32, 314, 30, 400, 330, 1311, 950, 786, 32, 1311, 30, 400, 330, 7318, 950, 786, 32, 371, 81, 13866, 697, 463, 7318, 1814, 10407, 81, 2665, 30, 324, 320, 203, 823, 15786, 17138, 2227, 26, 3858, 2227, 711, 284, 15358, 280, 3319, 2227, 440, 7345, 1780, 657, 284, 821, 24319, 280, 7687, 2227, 346, 284, 443, 11985, 44, 291, 4269, 280, 313, 1676, 7345, 20, 203, 823, 4361, 2207, 13860, 2227, 26, 1176, 2227, 711, 284, 1600, 280, 10548, 32, 13860, 1176, 26, 19833, 4310, 291, 2726, 1873, 370, 330, 10001, 2841, 1425, 2726, 990, 370, 330, 10001, 2091, 1425, 2726, 7830, 370, 330, 22342, 1861, 1425, 2726, 2620, 370, 330, 4728, 1861, 1425, 284, 9658, 203, 823, 5780, 7751, 13860, 2227, 26, 1176, 2227, 711, 284, 1600, 280, 10548, 32, 13860, 1176, 26, 19833, 4310, 291, 2726, 4382, 370, 330, 5947, 1425, 2726, 2620, 370, 330, 4728, 1861, 1425, 284, 9658, 203, 823, 4361, 2227, 26, 3858, 2227, 711, 284, 1778, 280, 4361, 21246, 2227, 346, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 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, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 5, 7, 8, 8, 11, 11, 9, 10, 11, 8, 8, 8, 11, 11, 9, 10, 11, 8, 8, 8, 11, 11, 9, 12, 13, 13, 13, 13, 12, 14, 14, 11, 11, 11, 8, 8, 8, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 8, 8, 8, 2, 2, 5, 4, 4, 6, 6, 2, 2, 3, 3, 3, 3, 6, 6, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 7, 8, 8, 11, 11, 9, 11, 11, 11, 8, 11, 11, 9, 11, 11, 11, 8, 11, 11, 9, 11, 11, 11, 8, 11, 11, 9, 11, 11, 11, 8, 8, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 7, 8, 8, 11, 11, 9, 11, 11, 8, 11, 11, 9, 11, 11, 11, 8, 8, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 4, 4, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 4, 4, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 2, 1, 4, 8, 8, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 10, 10, 0, 1, 2, 10, 10, 0, 11, 11, 0, 1, 2, 1, 4, 11, 11, 0, 11, 11, 0, 11, 11, 0, 11, 11, 0, 11, 11, 0, 11, 11, 0, 11, 11, 0, 0, 0, 12, 12, 0, 1, 2, 1, 4, 12, 12, 0, 0, 0, 13, 13, 0, 1, 2, 1, 4, 13, 13, 0, 0, 0, 14, 14, 0, 1, 2, 1, 4, 14, 14, 0, 0, 0, 0, 15, 15, 0, 1, 2, 1, 4, 4, 4, 15, 15, 0, 0, 0, 0, 16, 16, 0, 1, 2, 1, 4, 16, 16, 0, 0, 0, 17, 17, 0, 1, 2, 17, 17, 0, 0, 18, 18, 0, 1, 2, 1, 4, 1, 6, 18, 18, 0, 0, 0, 0, 0, 19, 19, 0, 1, 2, 1, 4, 19, 19, 0, 20, 20, 0, 1, 2, 20, 20, 0, 0, 0, 21, 21, 0, 1, 2, 1, 4, 4, 21, 21, 0, 0, 0, 0, 22, 22, 0, 1, 2, 22, 22, 0, 0, 0, 0, 23, 23, 0, 0, 1, 2, 23, 23, 0, 0, 0, 0, 0, 24, 24, 1, 2, 24, 24, 0, 0, 25, 25, 1, 1, 2, 1, 1, 1, 2, 25, 25, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 2, 5, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 26, 26, 1, 1, 2, 1, 1, 2, 26, 26, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 27, 27, 1, 1, 1, 2, 1, 1, 2, 27, 27, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 2, 2, 1, 2, 5, 1, 1, 2, 2, 1, 2, 7, 1, 1, 2, 2, 2, 0, 28, 28, 1, 1, 1, 2, 1, 1, 2, 28, 28, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 0, 29, 29, 1, 2, 1, 1, 2, 29, 29, 0, 0, 0, 0, 1, 4 ]
[ 465, 11171, 203, 1070, 273, 38200, 1188, 4479, 203, 1070, 485, 22072, 32, 2282, 1188, 10572, 203, 1070, 485, 22072, 32, 2282, 32, 3527, 32, 1260, 81, 3893, 1188, 3398, 9505, 984, 203, 1070, 485, 22072, 32, 2282, 32, 3527, 32, 20252, 81, 4531, 1188, 488, 19260, 1781, 1437, 203, 1070, 485, 22072, 32, 2282, 32, 89, 1260, 1188, 10128, 101, 30, 20748, 203, 1070, 273, 38200, 32, 8347, 1188, 12104, 203, 823, 25430, 984, 26, 984, 711, 284, 3097, 203, 823, 25430, 1183, 5392, 26, 1473, 711, 284, 10366, 280, 2149, 284, 665, 1156, 1664, 3207, 784, 30, 33311, 1972, 47, 2521, 30, 2719, 2438, 47, 2521, 30, 32967, 47, 2521, 30, 353, 4438, 47, 2521, 711, 291, 630, 3667, 4531, 280, 33311, 1972, 415, 33311, 1972, 438, 646, 1665, 813, 488, 19260, 1781, 1437, 346, 291, 630, 3667, 35851, 280, 32967, 291, 630, 3667, 2122, 2438, 280, 2719, 2438, 291, 630, 3667, 9147, 280, 4438, 291, 630, 32, 2121, 280, 10572, 32, 7426, 346, 291, 415, 630, 3667, 9147, 438, 1665, 44, 324, 630, 3667, 35851, 280, 313, 371, 8891, 20, 324, 630, 3667, 9147, 280, 630, 3667, 1851, 16369, 324, 630, 3667, 35851, 280, 1665, 284, 665, 6207, 26, 784, 30, 1256, 30, 3882, 711, 16189, 442, 2933, 284, 665, 20641, 26, 784, 711, 16189, 442, 2933, 284, 665, 4230, 26, 784, 711, 16189, 3097, 284, 665, 622, 5392, 26, 784, 711, 291, 442, 25430, 1183, 5392, 26, 784, 3667, 4531, 30, 630, 3667, 2122, 2438, 30, 1665, 30, 4438, 47, 784, 3667, 9147, 27, 284, 665, 1156, 32110, 3207, 784, 30, 636, 711, 291, 415, 630, 3667, 35851, 438, 646, 1665, 44, 324, 636, 280, 5461, 101, 9708, 101, 20, 904, 308, 784, 3667, 35851, 30, 636, 27, 291, 442, 25430, 1183, 5392, 26, 784, 3667, 4531, 30, 630, 3667, 2122, 2438, 30, 636, 30, 4438, 47, 784, 3667, 9147, 27, 284, 477, 2518, 32, 42826, 284, 665, 1156, 1851, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 706, 280, 2149, 291, 415, 11477, 496, 505, 25, 328, 10306, 44, 324, 706, 710, 496, 785, 280, 10306, 710, 505, 496, 505, 785, 324, 3555, 10306, 710, 505, 496, 505, 785, 291, 415, 11477, 2848, 81, 314, 505, 25, 328, 10306, 44, 324, 706, 710, 2848, 81, 314, 785, 280, 10306, 710, 505, 2848, 81, 314, 505, 785, 324, 3555, 10306, 710, 505, 2848, 81, 314, 505, 785, 291, 1476, 81, 314, 280, 11171, 32, 6572, 38, 346, 291, 8456, 280, 5461, 101, 9708, 101, 20, 904, 308, 784, 3667, 2122, 2438, 30, 1476, 81, 314, 27, 291, 415, 6937, 26, 784, 3667, 9147, 30, 12104, 711, 324, 630, 3667, 9147, 280, 6761, 630, 3667, 9147, 291, 415, 630, 3667, 9147, 461, 630, 3667, 35851, 646, 328, 630, 3667, 9147, 44, 324, 3636, 3270, 924, 440, 426, 6611, 101, 25, 646, 3417, 20, 904, 630, 3667, 35851, 27, 291, 706, 32, 1877, 1371, 324, 313, 1959, 563, 630, 3667, 35851, 30, 324, 313, 314, 563, 313, 8737, 102, 359, 1970, 392, 324, 313, 8262, 563, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 5, 6, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 8, 7, 7, 9, 8, 8, 8, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 5, 7, 8, 6, 6, 5, 5, 5, 9, 10, 8, 8, 10, 10, 10, 6, 6, 9, 10, 8, 8, 10, 11, 11, 6, 6, 9, 10, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 9, 8, 9, 7, 7, 8, 9, 9, 7, 7, 7, 7, 8, 10, 9, 10, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 6, 5, 5, 5, 8, 8, 11, 11, 11, 11, 9, 9, 12, 11, 12, 10, 10, 10, 4, 4, 5, 7, 7, 7, 9, 8, 9, 7, 7, 8, 9, 9, 7, 7, 7, 7, 8, 10, 9, 10, 7, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 7, 7, 5, 5, 6, 9, 9, 9, 7, 7, 6, 6, 6, 10, 12, 12, 9, 9, 10, 12, 12, 12, 12, 7, 7, 8, 9, 11, 11, 11, 11, 5, 5, 6, 9, 9, 9, 9, 9, 7, 7, 6, 6, 6, 10, 12, 12, 12, 12, 9, 9, 10, 12, 12, 12, 12, 12, 12, 7, 7, 8, 9, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 7, 7, 9, 10, 10, 9, 5, 5, 7, 7, 10, 10, 10, 10, 8, 8, 11, 10, 11, 11, 9, 9, 10, 10, 9, 5, 5, 6, 8, 10, 9, 10, 8, 8, 8, 6, 6, 10, 11, 9, 9, 10, 11, 12, 5, 5, 6, 8, 9, 7, 7, 9, 10, 8, 8, 8, 9, 10, 6, 6, 6, 8, 10, 10, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 13, 10, 5, 5, 8, 9, 8, 9, 9, 12, 12, 10, 11, 12, 9, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 6, 6, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 1, 6, 6, 6, 4, 4, 0, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 0, 5, 2, 2, 2, 7, 2, 2, 2, 2, 9, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 1, 4, 4, 5, 0, 2, 1, 1, 5, 5, 5, 0, 2, 0, 0, 1, 1, 2, 3, 3, 0, 2, 0, 0, 0, 2, 2, 3, 3, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 4, 4, 3, 2, 1, 2, 3, 3, 0, 4, 4, 4, 2, 1, 2, 4, 4, 4, 4, 5, 1, 2, 1, 2, 5, 5, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 1, 1, 7, 0, 2, 2, 1, 4, 4, 6, 1, 1, 1, 2, 2, 2, 6, 6, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 4, 4, 1, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 1, 1, 7, 0, 2, 2, 1, 4, 4, 0, 1, 2, 7, 7, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 3, 3, 2, 4, 4, 5, 1, 0, 1, 2, 1, 1, 1, 5, 5, 0, 2, 0, 0, 2, 1, 2, 4, 4, 6, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 6, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 0 ]
[ 433, 264, 588, 264, 38879, 81, 96, 6758, 19704, 203, 5817, 81, 314, 19066, 203, 40577, 81, 27433, 19066, 203, 389, 81, 12617, 19704, 203, 3264, 81, 272, 36, 2947, 81, 1274, 280, 5436, 26, 3969, 26, 103, 20, 39250, 42661, 48533, 41462, 11469, 150, 243, 99, 150, 247, 98, 148, 256, 150, 258, 147, 230, 150, 117, 2112, 150, 141, 151, 257, 94, 150, 126, 103, 9605, 150, 136, 101, 151, 234, 96, 151, 239, 151, 240, 106, 151, 241, 108, 38605, 11809, 19108, 14311, 17741, 1952, 67, 9551, 12232, 73, 20792, 392, 1044, 20, 150, 243, 99, 150, 247, 98, 148, 256, 150, 258, 147, 230, 150, 117, 2112, 150, 141, 151, 257, 94, 150, 126, 103, 9605, 150, 136, 101, 151, 234, 96, 151, 239, 151, 240, 106, 151, 241, 108, 39250, 42661, 48533, 41462, 11469, 150, 243, 99, 150, 247, 98, 148, 256, 150, 258, 147, 230, 150, 117, 2112, 150, 141, 151, 257, 94, 150, 126, 103, 9605, 150, 136, 101, 151, 234, 96, 151, 239, 151, 240, 106, 151, 241, 108, 39250, 42661, 48533, 41462, 11469, 2131, 203, 589, 4899, 81, 417, 2671, 81, 2135, 26, 681, 30, 1914, 30, 3377, 711, 203, 202, 14987, 47, 1855, 77, 36, 79, 203, 202, 1363, 6172, 47, 1855, 77, 35, 79, 203, 202, 44579, 47, 371, 81, 1508, 81, 44579, 26, 1363, 6172, 6897, 26565, 14987, 27, 15773, 202, 325, 3377, 44, 357, 202, 8443, 26, 681, 30, 1855, 30, 8920, 26, 5962, 816, 30, 107, 44, 3264, 81, 272, 36, 2947, 81, 1274, 32, 371, 26, 106, 30, 106, 7283, 3264, 81, 272, 36, 2947, 81, 1274, 32, 371, 26, 107, 30, 107, 471, 5138, 490, 203, 202, 1824, 44, 357, 202, 325, 6927, 81, 12617, 77, 1363, 6172, 1674, 44579, 79, 438, 1665, 44, 355, 202, 8443, 26, 681, 30, 1855, 30, 103, 25, 9619, 7553, 2866, 683, 355, 202, 601, 357, 202, 325, 6927, 81, 12617, 77, 1363, 6172, 1674, 44579, 79, 610, 1044, 25, 417, 2671, 950, 355, 202, 8443, 26, 681, 30, 1855, 30, 103, 25, 979, 16850, 683, 355, 202, 601, 27635, 202, 102, 2076, 47, 389, 81, 12617, 77, 1363, 6172, 1674, 44579, 79, 357, 202, 8443, 26, 681, 30, 1855, 30, 8920, 26, 5962, 816, 30, 107, 44, 3264, 81, 272, 36, 2947, 81, 1274, 32, 371, 26, 106, 30, 106, 7283, 3264, 81, 272, 36, 2947, 81, 1274, 32, 371, 26, 107, 30, 107, 471, 102, 2076, 490, 203, 589, 4899, 81, 417, 2671, 81, 2853, 81, 2076, 26, 681, 30, 1914, 30, 3361, 711, 203, 202, 1003, 32, 7840, 26, 35, 27, 203, 202, 14987, 47, 1855, 77, 36, 79, 203, 202, 1363, 6172, 47, 1855, 77, 35, 79, 203, 202, 44579, 47, 371, 81, 1508, 81, 44579, 26, 1363, 6172, 6897, 26565, 14987, 27, 203, 202, 325, 2350, 6172, 328, 6927, 81, 12617, 32, 3494, 2262, 357, 202, 325, 594, 314, 328, 6927, 81, 12617, 77, 1363, 6172, 997, 3494, 346, 461, 594, 314, 863, 2350, 6172, 461, 594, 314, 863, 971, 779, 44, 355, 202, 389 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 2, 0, 3, 3, 3, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 5, 4, 6, 6, 6, 2, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 10, 10, 6, 2, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 8, 7, 8, 8, 8, 8, 7, 9, 10, 10, 10, 10, 10, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 14, 9, 10, 10, 10, 10, 3, 4, 4, 4, 6, 6, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 6, 6, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 10, 7, 7, 8, 8, 5, 6, 6, 10, 10, 10, 9, 10, 10, 10, 10, 9, 7, 9, 9, 9, 6, 10, 10, 10, 10, 11, 10, 11, 11, 11, 12, 12, 12, 10, 7, 7, 7, 8, 8, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 9, 5, 5, 8, 8, 8, 8, 9, 8, 9, 9, 9, 9, 8, 10, 11, 11, 11, 11, 11, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 14, 15, 11, 11, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 2, 3, 2, 6, 6, 5, 6, 6, 6, 5, 6, 2, 5, 4, 6, 6, 6, 2, 5, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 9, 9, 9, 8, 10, 10, 8, 8, 6, 3, 5, 5, 5, 5, 7, 7, 7, 7, 7, 3, 3, 5, 9, 8, 12, 12, 11, 12, 12, 12, 12, 11, 11, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 2, 5, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 4, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 3, 3, 3, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 5, 2, 0, 0, 0, 2, 2, 2, 1, 1, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2 ]
[ 1070, 16672, 1188, 7098, 2825, 203, 1070, 1359, 3922, 1188, 3383, 2825, 203, 1070, 2322, 32, 983, 1188, 11764, 496, 203, 1070, 41555, 1188, 17447, 1515, 1175, 30, 17447, 1515, 203, 1163, 264, 280, 3383, 2825, 346, 203, 1163, 81, 2200, 12936, 280, 2149, 203, 1163, 32, 850, 26, 8931, 496, 463, 30127, 1163, 33, 1935, 81, 1632, 32, 4687, 2847, 203, 3922, 280, 7098, 2825, 346, 203, 3922, 32, 669, 81, 2669, 12664, 2585, 370, 262, 3049, 1057, 2585, 1505, 3191, 41555, 370, 2125, 1057, 2157, 683, 203, 3922, 32, 669, 81, 2669, 12664, 1347, 31, 1311, 370, 3049, 1057, 1409, 646, 2503, 322, 1780, 370, 2125, 1057, 2157, 81, 1508, 683, 203, 1132, 280, 4118, 32, 2208, 81, 1132, 346, 203, 325, 2181, 32, 2585, 44, 284, 1359, 81, 2200, 12936, 77, 1132, 32, 2585, 79, 280, 225, 34, 203, 1824, 44, 284, 436, 41555, 328, 1359, 32, 15485, 2262, 291, 1359, 81, 2200, 12936, 77, 39122, 79, 280, 225, 34, 203, 979, 41555, 328, 1359, 81, 2200, 12936, 44, 284, 10869, 1515, 280, 17447, 1515, 26, 1163, 32, 371, 26, 39122, 30, 330, 983, 2847, 284, 436, 10869, 328, 10869, 1515, 44, 291, 415, 330, 69, 25, 646, 328, 10869, 32, 371, 81, 4545, 2262, 324, 1359, 81, 2200, 12936, 77, 39122, 79, 1454, 225, 35, 203, 979, 41555, 328, 1359, 81, 2200, 12936, 32, 3494, 2262, 284, 415, 2181, 32, 1347, 81, 1311, 44, 291, 1459, 26, 1163, 81, 2200, 12936, 77, 39122, 1130, 284, 813, 44, 291, 1459, 4912, 101, 44, 904, 101, 313, 904, 308, 39122, 30, 1359, 81, 2200, 12936, 77, 39122, 5259, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 3, 2, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 0, 4, 3, 4, 3, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 3, 2, 2, 4, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 3, 4, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 6, 6, 3, 4, 6, 6, 6, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 1, 1, 2, 3, 1, 1, 1, 6, 6, 6, 5, 7, 6, 7, 5, 4, 4, 5, 1, 2, 2, 2, 2, 4, 4, 4, 6, 7, 6, 4, 4, 9, 9, 9, 8, 9, 8, 7, 7, 8, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 5, 4, 4, 6, 6, 9, 8, 9, 8, 9, 8, 8, 10, 10, 2, 2, 3, 3, 3, 4, 3, 3, 3, 5, 8, 8, 6, 6, 6, 8, 9, 9, 9, 8, 5, 5, 10, 10, 10, 9, 10, 9, 8, 8, 9, 0, 1, 1, 1, 1, 4, 4, 4, 3, 4, 3, 1, 1, 3, 4, 5, 5, 5, 3, 3, 3, 7, 9, 9, 9, 9, 8, 9, 8, 3, 3, 4, 4, 4, 8, 11, 11, 11, 11, 11, 9, 9, 11, 10, 10, 12, 12, 12, 11, 12, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 2, 1, 5, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 11, 11, 1, 2, 11, 11, 11, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 11, 4, 4, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 12, 12, 12, 12, 3, 3, 3, 12, 12, 12, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 3, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 13, 13, 13, 13, 0, 0, 0, 0, 2, 1, 13, 13, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 3, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 638, 1237, 1188, 4448, 30, 5170, 203, 1070, 638, 2516, 1188, 2629, 30, 5069, 30, 18394, 30, 2854, 35, 40, 30, 2854, 37, 36, 30, 9042, 30, 892, 203, 823, 8059, 2062, 1397, 81, 104, 34, 26, 1397, 711, 284, 2330, 81, 3307, 280, 225, 35, 42, 284, 2330, 81, 4530, 280, 225, 34, 284, 358, 5180, 1400, 280, 9042, 26, 291, 2726, 731, 81, 687, 370, 2854, 35, 40, 471, 291, 2726, 1237, 81, 9561, 370, 2629, 26, 324, 2726, 1237, 81, 678, 370, 2854, 35, 40, 471, 324, 2726, 887, 81, 1648, 370, 2854, 35, 40, 471, 324, 2726, 1449, 81, 1648, 370, 2854, 35, 40, 2610, 284, 829, 203, 823, 8059, 2062, 1397, 81, 104, 35, 26, 1397, 711, 284, 2330, 81, 3307, 280, 225, 35, 42, 284, 2330, 81, 4530, 280, 225, 35, 284, 358, 5180, 1400, 280, 9042, 26, 291, 2726, 731, 81, 687, 370, 2854, 35, 40, 471, 291, 2726, 1237, 81, 9561, 370, 2629, 26, 324, 2726, 1237, 81, 678, 370, 2854, 35, 40, 471, 324, 2726, 887, 81, 1648, 370, 2854, 35, 40, 471, 324, 2726, 1449, 81, 1648, 370, 2854, 35, 40, 20092, 291, 2726, 38023, 81, 1003, 81, 874, 370, 2854, 37, 36, 27, 284, 829, 203, 823, 8059, 2062, 1104, 81, 104, 34, 26, 1104, 711, 284, 2330, 81, 3307, 280, 225, 35, 42, 284, 2330, 81, 4530, 280, 225, 34, 284, 45309, 17598, 81, 2319, 280, 8059, 2062, 1397, 81, 104, 34, 284, 358, 5180, 1400, 280, 9042, 346, 203, 823, 8059, 2062, 1104, 81, 104, 35, 26, 1104, 711, 284, 2330, 81, 3307, 280, 225, 35, 42, 284, 2330, 81, 4530, 280, 225, 35, 284, 45309, 17598, 81, 2319, 280, 8059, 2062, 1397, 81, 104, 35, 284, 358, 5180, 1400, 280, 8059, 2062, 1104, 81, 104, 34, 32, 20740, 203, 48984, 1104, 280, 428, 48984, 1104, 81, 104, 34, 30, 8059, 2062, 1104, 81, 104, 35, 79, 203, 48984, 1397, 280, 428, 48984, 1397, 81, 104, 34, 30, 8059, 2062, 1397, 81, 104, 35, 79, 203, 823, 2648, 26855, 1397, 81, 104, 34, 26, 1397, 711, 284, 2330, 81, 3307, 280, 225, 35, 43, 284, 2330, 81, 4530, 280, 225, 34, 284, 358, 5180, 1400, 280, 9042, 26, 291, 2726, 5473, 81, 731, 81, 7787, 370, 2629, 26, 324, 2726, 5473, 370, 892, 463, 3310, 31, 42, 13356, 324, 2726, 731, 81, 687, 370, 2854, 35, 40, 2610, 284, 829, 203, 823, 2648, 26855, 1397, 81, 104, 35, 26, 1397, 711, 284, 2330, 81, 3307, 280, 225, 35, 43, 284, 2330, 81, 4530, 280, 225, 35, 284, 358, 5180, 1400, 280, 9042, 26, 291, 2726, 5473, 81, 731, 81, 7787, 370, 2629, 26, 324, 2726, 5473, 370, 892, 463, 3310, 31, 42, 13356, 324, 2726, 731, 81, 687, 370, 2854, 35, 40, 471, 324, 2726, 731, 81, 1436, 370, 892, 463, 3310, 31, 42, 2847, 490, 284, 829, 203, 823, 2648, 26855, 1397, 81, 104, 36, 26, 1397, 711, 284, 2330, 81, 3307, 280, 225, 35, 43, 284, 2330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 9, 9, 9, 9, 7, 8, 8, 7, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 12, 12, 12, 12, 10, 11, 11, 10, 9, 9, 12, 12, 12, 12, 10, 11, 11, 10, 9, 9, 12, 12, 12, 12, 10, 11, 11, 10, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 9, 9, 9, 9, 7, 8, 8, 7, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 12, 12, 12, 12, 10, 11, 11, 10, 9, 9, 12, 12, 12, 12, 10, 11, 11, 10, 9, 9, 12, 12, 12, 12, 10, 11, 11, 10, 6, 6, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 5, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 12, 12, 10, 12, 14, 14, 14, 14, 9, 9, 12, 12, 12, 12, 10, 11, 11, 10, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 12, 12, 10, 12, 14, 14, 14, 14, 9, 9, 12, 12, 12, 12, 10, 11, 11, 10, 9, 9, 12, 12, 12, 12, 10, 12, 14, 14, 14, 14, 9, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 5, 3, 3, 5, 1, 1, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 5, 3, 3, 5, 1, 1, 1, 1, 1, 1, 1, 2, 5, 3, 3, 5, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 2, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 2, 2, 4, 4 ]
[ 465, 7138, 203, 465, 2361, 203, 1070, 42406, 1188, 9637, 35, 203, 465, 5167, 203, 465, 3340, 393, 1291, 203, 1070, 225, 755, 100, 81, 348, 393, 1291, 1188, 6716, 203, 1070, 3619, 32725, 1188, 8839, 203, 1070, 3619, 32725, 32, 1643, 5725, 1188, 13030, 8736, 203, 1070, 3619, 32725, 32, 1909, 483, 1188, 5885, 21055, 203, 1070, 10087, 20437, 32, 22235, 1188, 34705, 21055, 203, 1070, 10087, 20437, 32, 1163, 1188, 15985, 2001, 11271, 81, 28141, 81, 2413, 203, 4603, 280, 6716, 346, 203, 37083, 613, 81, 15916, 11980, 280, 308, 284, 308, 40, 34, 34, 30, 351, 330, 383, 225, 35, 34, 10135, 1425, 284, 308, 37, 40, 34, 34, 30, 958, 330, 383, 1591, 12021, 1425, 284, 308, 37, 40, 34, 34, 28, 36, 38, 30, 264, 330, 383, 1591, 5808, 1425, 284, 308, 37, 40, 34, 34, 28, 36, 38, 28, 41, 30, 225, 330, 383, 1591, 8209, 1425, 284, 308, 37, 40, 34, 34, 28, 36, 38, 28, 35, 38, 30, 330, 383, 3134, 22599, 1425, 284, 308, 37, 40, 34, 34, 28, 36, 38, 28, 37, 34, 30, 330, 383, 1591, 6811, 1425, 203, 27, 203, 37083, 613, 81, 5807, 280, 225, 37, 40, 34, 34, 28, 36, 38, 28, 35, 38, 203, 823, 2680, 26, 4603, 32, 1243, 711, 284, 4096, 280, 3340, 393, 1291, 32, 16357, 26, 5665, 47, 1815, 27, 203, 823, 34705, 26, 4603, 32, 1243, 711, 284, 17310, 280, 3340, 393, 1291, 32, 16357, 26, 1449, 81, 1322, 47, 38, 34, 30, 5799, 47, 1815, 27, 284, 23192, 280, 3340, 393, 1291, 32, 36172, 346, 284, 4081, 280, 3340, 393, 1291, 32, 13343, 1176, 26, 1240, 30, 5886, 81, 426, 1057, 27336, 101, 370, 744, 47, 1815, 27, 284, 665, 1487, 81, 13411, 26, 784, 30, 1474, 30, 1795, 711, 291, 10020, 280, 5167, 32, 1526, 26, 24285, 11271, 81, 28141, 81, 2413, 30, 706, 47, 1286, 547, 1260, 31510, 633, 785, 291, 10020, 81, 1260, 280, 2361, 32, 16958, 26, 633, 27, 291, 3272, 81, 269, 280, 7138, 32, 6665, 32, 2174, 346, 291, 17310, 81, 1286, 280, 17246, 78, 96, 34917, 1643, 26, 4524, 81, 269, 32, 9328, 1643, 1026, 1795, 27, 291, 17310, 280, 9637, 35, 26, 7794, 81, 1286, 547, 6949, 13995, 346, 291, 442, 26884, 32, 1297, 26, 27336, 47, 784, 30, 17310, 47, 7794, 30, 1795, 47, 1286, 30, 1474, 47, 1436, 30, 10020, 81, 1260, 47, 633, 81, 1260, 27, 284, 477, 2433, 284, 665, 2401, 81, 13411, 26, 784, 711, 291, 442, 630, 32, 47102, 77, 34, 79, 203, 823, 26884, 26, 4603, 32, 1243, 711, 284, 47051, 280, 3340, 393, 1291, 32, 13343, 1176, 26, 17603, 30, 5886, 81, 426, 1057, 47102, 683, 284, 17310, 280, 3340, 393, 1291, 32, 16357, 26, 1449, 81, 1322, 47, 38, 34, 30, 5799, 47, 1815, 27, 284, 1795, 280, 3340, 393, 1291, 32, 10215, 346, 284, 3272, 81, 269, 280, 3340, 393, 1291, 32, 36172, 26, 1536, 47, 6665, 32, 6665, 32, 2174, 27, 284, 10020, 81, 1260, 280, 3340, 393, 1291, 32, 10215, 346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 5, 6, 6, 4, 4, 4, 6, 6, 6, 6, 3, 3, 7, 7, 7, 7, 6, 7, 7, 5, 6, 4, 4, 4, 6, 6, 6, 6, 3, 3, 7, 7, 7, 7, 6, 7, 7, 5, 6, 6, 4, 4, 6, 6, 6, 6, 3, 3, 7, 7, 7, 7, 6, 7, 7, 5, 6, 6, 4, 4, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 5, 5, 3, 4, 4, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 7, 7, 6, 7, 6, 8, 7, 8, 6, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 7, 7, 6, 7, 6, 2, 2, 4, 4, 7, 7, 6, 7, 7, 6, 7, 6, 6, 8, 8, 7, 9, 9, 9, 6, 7, 8, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 11, 12, 11, 12, 12, 12, 12, 12, 12, 11, 11, 12, 13, 11, 10, 9, 9, 9, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 7, 7, 6, 6, 11, 11, 10, 9, 8, 11, 11, 11, 10, 11, 11, 10, 8, 8, 4, 4, 6, 6, 10, 10, 11, 11, 11, 10, 9, 9, 8, 4, 4, 5, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 8, 7, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 7, 7, 6, 7, 7, 6, 7, 6, 6, 8, 8, 7, 9, 9, 2, 2, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 7, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 7, 10, 9, 10, 8, 9, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 6, 6, 0, 6, 6, 0, 7, 7, 0, 1, 2, 2, 7, 7, 0, 0, 8, 8, 0, 1, 2, 2, 8, 8, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 5, 5, 5, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 7, 7, 7, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 9, 9, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 11, 11, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 14, 14, 2, 0, 1, 2, 2, 14, 14, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 15, 15, 2, 0, 1, 2, 2, 15, 15, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 2, 1, 5, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 5, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 0, 0, 9, 2, 2, 2, 1, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 16, 16, 2, 0, 1, 2, 2, 16, 16, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1 ]
[ 1070, 26313, 1188, 1550, 81, 3426, 203, 1070, 22045, 1188, 1984, 4434, 203, 1070, 26627, 1188, 26627, 203, 1070, 4395, 1188, 7841, 203, 1070, 10381, 93, 39583, 32, 2304, 1188, 5668, 203, 1070, 13568, 604, 1188, 1913, 203, 1070, 13568, 604, 32, 4882, 32, 2282, 1188, 821, 81, 3789, 30, 4688, 2732, 30, 2364, 81, 3789, 203, 1070, 13568, 604, 32, 4280, 1188, 48741, 81, 4073, 203, 1070, 4377, 3378, 1188, 736, 81, 11753, 81, 26615, 30, 736, 81, 3707, 203, 57, 11288, 3470, 81, 22228, 69, 280, 308, 284, 313, 35188, 39583, 392, 284, 736, 81, 11753, 81, 26615, 3667, 426, 7642, 284, 736, 81, 3707, 3667, 426, 7642, 203, 27, 203, 589, 7116, 81, 23437, 81, 23403, 81, 18132, 2740, 23403, 711, 284, 477, 27680, 284, 665, 617, 5098, 26, 1959, 30, 630, 30, 319, 1132, 30, 1115, 5321, 711, 291, 6713, 280, 630, 32, 23403, 81, 18132, 2740, 23403, 27, 291, 415, 646, 6713, 44, 324, 5816, 280, 739, 26, 23403, 27, 429, 6713, 324, 630, 32, 5961, 1006, 440, 5413, 1015, 2612, 646, 6713, 44, 904, 101, 20, 904, 3775, 3003, 2296, 2524, 26, 11939, 26, 9785, 2610, 291, 442, 1411, 26, 784, 30, 319, 1132, 30, 1115, 5321, 27, 284, 442, 617, 5098, 203, 50, 269, 81, 3789, 26, 2700, 27, 203, 50, 1526, 81, 3789, 26, 1815, 27, 203, 50, 2675, 26, 525, 3667, 426, 505, 474, 4939, 34831, 32, 4635, 81, 14250, 392, 442, 81, 853, 47, 1815, 27, 203, 50, 2675, 26, 525, 3667, 426, 505, 474, 4939, 7344, 81, 1793, 81, 2888, 392, 5209, 81, 7469, 47, 7344, 27, 203, 50, 2675, 26, 575, 81, 11753, 81, 26615, 3667, 426, 505, 474, 4939, 305, 33786, 392, 442, 81, 853, 38913, 203, 823, 10349, 1142, 10490, 2732, 26, 2217, 2732, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 4349, 1142, 10490, 2732, 30, 630, 547, 23741, 346, 291, 1596, 44, 324, 3555, 1550, 81, 3426, 922, 12757, 291, 2940, 29316, 44, 324, 3097, 291, 630, 32, 7127, 81, 2895, 280, 313, 4191, 22, 23, 34, 36, 39, 42, 38, 20, 291, 630, 32, 605, 81, 6380, 280, 301, 324, 313, 3615, 563, 313, 6380, 392, 324, 313, 2895, 563, 313, 11575, 23, 24, 13824, 43, 34, 42, 38, 34, 43, 326, 392, 291, 320, 291, 623, 630, 32, 7017, 346, 619, 5564, 44, 324, 4533, 280, 630, 32, 2121, 26, 2446, 27, 324, 4533, 1365, 476, 32, 1163, 81, 5609, 6494, 470, 81, 753, 26, 400, 313, 2393, 81, 839, 1142, 81, 5538, 32, 1449, 81, 1170, 81, 639, 81, 496, 392, 225, 37, 27, 324, 4533, 1365, 476, 32, 1163, 81, 5609, 6494, 470, 81, 753, 26, 400, 313, 2393, 81, 839, 1142, 81, 5538, 32, 1449, 81, 1170, 81, 639, 392, 225, 38, 27, 324, 4533, 1365, 575, 32, 11753, 32, 26615, 6494, 1903, 7486, 547, 23754, 346, 324, 4533, 32, 496, 32, 2895, 280, 630, 32, 7127, 81, 2895, 324, 4533, 1365, 575, 32, 3707, 6494, 1903, 2009, 400, 2884, 3615, 392, 34074, 630, 32, 605, 81, 6380, 1365 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 4, 5, 5, 3, 3, 5, 5, 4, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 7, 5, 5, 7, 5, 4, 4, 7, 7, 9, 10, 10, 10, 9, 11, 9, 5, 5, 6, 7, 6, 6, 6, 9, 9, 12, 13, 12, 10, 10, 7, 7, 10, 11, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 15, 14, 13, 15, 15, 16, 15, 5, 5, 6, 8, 9, 8, 8, 10, 8, 8, 10, 8, 2, 2, 3, 4, 0, 2, 4, 4, 4, 4, 5, 4, 1, 2, 4, 4, 4, 4, 5, 4, 1, 2, 4, 4, 7, 6, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 4, 6, 6, 5, 6, 4, 1, 2, 4, 4, 7, 6, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 4, 6, 6, 5, 6, 4, 1, 2, 4, 4, 7, 7, 7, 7, 7, 6, 7, 7, 5, 5, 7, 7, 7, 4, 6, 6, 5, 1, 2, 2, 3, 3, 3, 3, 4, 4, 3, 2, 2, 4, 5, 6, 5, 4, 4, 10, 11, 11, 11, 11, 10, 10, 10, 9, 8, 5, 5, 6, 6, 6, 8, 11, 11, 11, 10, 6, 6, 7, 7, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 11, 11, 9, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 5, 5, 6, 11, 12, 11, 9, 9, 6, 6, 6, 9, 9, 11, 12, 11, 12, 11, 7, 7, 11, 13, 13, 13, 13, 13, 13, 11, 11, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 10, 7, 7, 11, 13, 13, 13, 13, 13, 13, 11, 11, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 10, 7, 7, 13, 15, 15, 15, 15, 15, 15, 13, 12, 12, 11, 10, 7, 7, 11, 12, 10, 11, 9, 9, 10, 11, 11, 11, 7, 7, 13, 15, 15, 15, 15, 13, 12, 13, 13, 16, 16, 14, 14, 16, 17, 17, 17, 15 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 3, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 10, 10, 1, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 11, 1, 0, 0, 0, 1, 1, 1, 11, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 11, 3, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 11, 4, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 11, 5, 5, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 0, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 3, 3, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 3, 3, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 3, 3, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 3, 3, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 5 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 465, 316, 203, 1070, 13625, 1188, 31466, 203, 465, 3619, 7035, 203, 1070, 745, 1260, 1188, 8745, 203, 1070, 804, 2304, 1188, 438, 81, 20583, 81, 1526, 81, 36, 34, 34, 41, 30, 438, 81, 13351, 30, 438, 81, 2956, 30, 13316, 81, 13351, 203, 1070, 26194, 548, 81, 14331, 32, 1237, 1188, 2454, 81, 3968, 203, 1070, 26194, 548, 81, 14331, 32, 2304, 1188, 13316, 81, 20583, 81, 3153, 203, 1070, 26194, 548, 81, 2304, 32, 8774, 1188, 7650, 81, 668, 203, 1070, 4377, 1160, 1188, 938, 98, 30, 938, 98, 36, 3303, 85, 203, 1070, 2417, 2304, 1188, 7650, 81, 6270, 81, 2543, 30, 13316, 81, 32134, 203, 613, 81, 34801, 280, 316, 32, 6993, 463, 5272, 110, 556, 523, 461, 523, 30, 17938, 12302, 101, 48891, 203, 50, 292, 98, 32, 1498, 463, 297, 84, 2425, 370, 25366, 34, 36, 34, 497, 683, 203, 50, 2304, 32, 979, 81, 5520, 81, 853, 203, 589, 438, 84, 2425, 26, 784, 30, 1202, 30, 786, 711, 284, 665, 617, 371, 81, 9979, 26, 853, 711, 291, 665, 617, 12944, 26, 9979, 711, 324, 5365, 280, 2454, 81, 3968, 463, 292, 98, 683, 324, 2080, 81, 3435, 280, 5365, 710, 4642, 4902, 297, 84, 2425, 4902, 3028, 4902, 4642, 4902, 9979, 4902, 3868, 785, 324, 16538, 280, 16538, 32, 5729, 922, 3227, 12605, 370, 31248, 3227, 463, 5769, 9142, 324, 415, 16538, 328, 2080, 81, 3435, 44, 400, 442, 16538, 324, 4348, 16538, 610, 330, 9225, 950, 400, 442, 330, 11788, 25, 324, 4348, 16538, 610, 330, 12407, 975, 950, 400, 442, 330, 1685, 4094, 25, 324, 442, 4247, 291, 16538, 280, 7650, 81, 6270, 81, 2543, 26, 853, 32, 371, 463, 84, 370, 330, 2847, 291, 17666, 81, 9979, 280, 617, 12944, 26, 9979, 27, 291, 442, 17666, 81, 9979, 284, 665, 617, 371, 81, 32134, 26, 853, 711, 291, 312, 81, 853, 280, 7650, 81, 6270, 81, 2543, 26, 853, 32, 371, 463, 83, 370, 330, 2847, 291, 17666, 81, 83, 81, 853, 280, 312, 81, 853, 32, 3227, 39054, 9142, 291, 415, 17666, 81, 83, 81, 853, 44, 324, 442, 13316, 81, 32134, 26, 20030, 81, 83, 81, 853, 27, 284, 442, 301, 291, 330, 9979, 950, 617, 371, 81, 9979, 26, 853, 471, 291, 330, 853, 950, 617, 371, 81, 32134, 26, 853, 471, 284, 320, 203, 50, 292, 98, 36, 3303, 85, 32, 1498, 463, 34, 36, 34, 370, 330, 297, 84, 2425, 683, 203, 50, 2304, 32, 979, 81, 5520, 81, 853, 203, 589, 438, 84, 2425, 36, 3303, 85, 26, 784, 30, 1202, 30, 786, 711, 284, 442, 301, 291, 330, 83, 950, 786, 32, 371, 463, 853, 1425, 291, 330, 84, 950, 786, 32, 371, 463, 9979, 1425, 284, 320, 203, 50, 292, 98, 32, 1498, 463, 1409, 297, 370, 25366, 34, 36, 38, 41, 11834, 203, 589, 745, 297, 26, 784, 30, 1202, 30, 786, 711, 284, 665, 617, 371, 81, 2232, 81, 3780, 81, 1537, 717, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 2, 5, 5, 4, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 1, 2, 4, 3, 4, 4, 4, 4, 4, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 7, 8, 7, 6, 6, 9, 9, 11, 11, 11, 13, 13, 13, 7, 7, 10, 10, 9, 9, 15, 17, 17, 16, 16, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 7, 7, 9, 9, 15, 16, 15, 14, 13, 15, 13, 12, 11, 13, 11, 7, 7, 8, 9, 9, 10, 10, 8, 8, 8, 10, 8, 8, 9, 10, 10, 12, 12, 9, 9, 11, 13, 13, 8, 8, 9, 10, 10, 12, 12, 12, 9, 9, 11, 13, 13, 13, 7, 7, 8, 5, 5, 7, 7, 9, 9, 9, 9, 9, 12, 11, 12, 11, 13, 13, 11, 13, 5, 5, 8, 8, 7, 7, 9, 9, 10, 9, 5, 5, 6, 7, 7, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 9, 12, 11, 12, 11, 13, 13, 11, 13, 5, 5, 8, 8, 8, 8, 7, 7, 10, 10, 9, 10, 9, 9, 5, 5, 6, 7, 7, 7, 7, 6, 6, 6, 8, 10, 10, 10, 11, 11, 11, 11, 11, 10, 3, 3, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 9, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 9, 8, 5, 5, 0, 2, 5, 5, 5, 5, 5, 4, 5, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 1, 2, 4, 3, 4, 4, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 5, 5, 0, 2, 5, 5, 4, 5, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 0, 0, 0, 1, 2, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 1, 2, 8, 8, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 10, 10, 0, 10, 10, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 12, 1, 0, 1, 2, 2, 2, 2, 2, 12, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 2, 3, 3, 3, 0, 3, 3, 4, 1, 1, 1, 2, 4, 4, 0, 1, 2, 3, 3, 5, 1, 1, 1, 1, 2, 5, 5, 0, 1, 1, 2, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 3, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 13, 1, 0, 1, 2, 2, 2, 2, 2, 13, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 3, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9592, 51, 4559, 1487, 4749, 5543, 7019, 688, 6176, 24192, 17679, 810, 10769, 1340, 203, 26, 327, 44, 559, 71, 10220, 5774, 7447, 2616, 322, 3809, 6063, 432, 3261, 1849, 372, 5822, 3226, 639, 203, 4603, 461, 10769, 12668, 48256, 203, 465, 11412, 203, 465, 5237, 203, 465, 2919, 2208, 203, 465, 2322, 32, 983, 203, 33118, 81, 10348, 280, 330, 639, 5543, 25, 203, 3459, 63, 3324, 81, 1996, 280, 766, 284, 330, 525, 555, 1499, 32, 1449, 24018, 32, 508, 33, 4984, 33, 8512, 639, 33, 4603, 33, 10632, 2027, 10914, 17799, 32, 3969, 25, 203, 1197, 1068, 21160, 81, 1996, 280, 330, 525, 555, 1499, 32, 9328, 32, 1088, 33, 9328, 33, 668, 31, 272, 35, 31, 6624, 295, 31, 37, 32, 2760, 25, 203, 589, 2575, 2262, 284, 298, 280, 2919, 2208, 32, 2828, 2825, 26, 2310, 47, 505, 1427, 7642, 4985, 23161, 347, 1299, 1521, 392, 4985, 1503, 347, 34, 32, 35, 392, 4985, 6886, 28664, 15446, 9650, 1152, 79, 9650, 85, 79, 9650, 91, 79, 9650, 98, 79, 313, 1891, 313, 6448, 86, 79, 9650, 83, 79, 10769, 35, 9847, 994, 36, 2417, 657, 284, 298, 32, 669, 81, 1762, 13692, 8512, 639, 1199, 392, 353, 3049, 1057, 1215, 372, 16281, 2027, 10914, 27868, 297, 32, 4700, 623, 16281, 2027, 706, 370, 353, 1244, 1057, 10632, 2027, 10914, 27868, 297, 32, 4700, 683, 284, 298, 32, 669, 81, 1762, 13692, 7035, 1199, 392, 353, 3049, 1057, 1215, 372, 10769, 81, 4243, 81, 363, 81, 687, 81, 7594, 81, 2760, 330, 2855, 330, 1793, 10769, 12668, 370, 353, 1244, 1057, 7035, 81, 4243, 81, 363, 81, 687, 81, 7594, 81, 2760, 683, 284, 298, 32, 669, 81, 1762, 13692, 1152, 392, 353, 2125, 1057, 2157, 81, 1508, 370, 353, 3049, 1057, 720, 432, 10769, 12668, 683, 284, 298, 32, 669, 81, 1762, 13692, 2546, 81, 1693, 4351, 392, 4825, 100, 392, 353, 3049, 1057, 10505, 7019, 372, 3345, 20072, 101, 645, 4749, 5543, 1858, 370, 353, 2125, 347, 2157, 81, 1508, 657, 284, 2075, 30, 4209, 280, 298, 32, 2208, 81, 1132, 346, 284, 415, 2075, 32, 1152, 44, 291, 415, 646, 2322, 32, 983, 32, 29712, 26, 2184, 32, 7035, 1199, 711, 324, 1459, 6611, 101, 646, 2431, 19, 1596, 2016, 313, 22831, 904, 101, 14891, 904, 308, 400, 2075, 32, 7035, 1199, 30, 3366, 1068, 21160, 81, 1996, 27, 324, 5237, 32, 4775, 346, 291, 623, 2156, 26, 2184, 32, 7035, 1199, 27, 619, 296, 44, 324, 436, 1628, 328, 296, 44, 400, 415, 1628, 610, 3330, 556, 1628, 32, 15990, 440, 10914, 7788, 556, 766, 715, 44341, 646, 328, 1628, 44, 528, 4036, 400, 281, 81, 426, 30, 281, 81, 687, 280, 1628, 32, 7201, 922, 2998, 45321, 657, 400, 281, 81, 426, 280, 330, 5608, 2524, 2009, 2050, 32, 34399, 346, 436, 1742, 328, 6619, 281, 81, 426, 32, 2998, 440, 7788, 1130, 400, 1459, 6611, 101, 78, 102, 23, 101, 25, 904, 308, 85, 81, 687, 30, 281, 81, 426, 27, 291, 442, 284, 415, 646, 4209, 44, 291, 298, 32, 1216 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 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, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 1, 1, 4, 4, 7, 6, 7, 7, 6, 8, 7, 8, 8, 8, 6, 6, 7, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 6, 6, 7, 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, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 5, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 4, 5, 3, 3, 3, 5, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 8, 5, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 10, 11, 11, 9, 9, 10, 10, 10, 10, 9, 6, 6, 9, 10, 9, 4, 4, 5, 10, 12, 11, 12, 12, 10, 8, 8, 5, 5, 5, 7, 7, 7, 7, 7, 7, 9, 12, 12, 11, 11, 13, 14, 13, 15, 15, 10, 10, 10, 10, 11, 11, 11, 9, 9, 9, 8, 8, 12, 12, 11, 11, 12, 12, 10, 10, 14, 15, 14, 13, 12, 14, 8, 8, 11, 11, 10, 10, 14, 13, 12, 16, 15, 16, 15, 13, 14, 14, 14, 14, 17, 17, 16, 17, 16, 18, 13, 8, 8, 9, 12, 13, 13, 12, 12, 12, 10, 10, 12, 12, 12, 11, 11, 12, 12, 11, 4, 4, 2, 2, 3, 4, 3, 3, 3, 7, 8 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 3, 3, 0, 0, 4, 4, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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, 2, 0, 8, 8, 2, 8, 8, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 6, 1, 2, 6, 6, 6, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 0, 2, 1, 3, 3, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 5, 5, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 5, 5, 3, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 4, 4, 7, 1, 7, 7, 7, 0, 2 ]
[ 1070, 29947, 1188, 4705, 203, 5522, 26, 284, 636, 347, 32271, 1356, 36, 392, 284, 1503, 347, 36, 32, 37, 32, 36, 392, 284, 3048, 347, 32271, 1356, 36, 429, 506, 1818, 40272, 30, 35691, 544, 16267, 392, 284, 1946, 81, 2310, 47, 1676, 440, 10229, 32, 954, 1895, 850, 1026, 284, 1946, 81, 2310, 81, 1286, 81, 681, 347, 878, 33, 8523, 392, 284, 4081, 347, 1773, 295, 971, 12818, 2559, 392, 284, 4081, 81, 1935, 347, 315, 295, 32, 4595, 535, 2559, 29, 2958, 50, 7253, 32, 508, 392, 284, 43397, 6020, 291, 313, 20235, 5400, 2037, 225, 39, 429, 35548, 33, 32018, 392, 291, 313, 1428, 4611, 37393, 5467, 2037, 36646, 392, 291, 313, 3786, 2037, 546, 2123, 46573, 2037, 7131, 1177, 392, 291, 313, 23560, 6633, 2037, 4865, 2037, 225, 37, 32, 42, 392, 291, 313, 8294, 2037, 3859, 15612, 2037, 38585, 2037, 4865, 25122, 392, 284, 2505, 284, 1984, 347, 641, 555, 933, 32, 508, 33, 102, 1019, 18874, 297, 33, 32271, 1356, 392, 284, 5822, 81, 965, 347, 641, 555, 933, 32, 508, 33, 102, 1019, 18874, 297, 33, 32271, 1356, 33, 10722, 392, 284, 3541, 347, 3786, 2037, 546, 2123, 46573, 2037, 7131, 1177, 392, 284, 7599, 11414, 32271, 1356, 370, 1090, 330, 32271, 1356, 32, 18841, 370, 1090, 2505, 284, 2652, 81, 605, 12516, 32271, 1356, 950, 2107, 605, 33, 15072, 29813, 81, 681, 81, 426, 32, 13608, 370, 1378, 330, 605, 33, 5078, 32, 13608, 370, 1378, 330, 605, 33, 6805, 81, 681, 32, 13608, 370, 1378, 330, 605, 33, 800, 81, 2405, 32, 13608, 370, 1378, 330, 605, 33, 5999, 81, 681, 32, 13608, 370, 1378, 1481, 835, 284, 3414, 81, 3953, 1279, 291, 330, 4466, 81, 8121, 950, 428, 324, 330, 15824, 36, 978, 280, 26015, 1356, 32, 15824, 36, 978, 44, 1831, 370, 291, 1481, 835, 284, 894, 81, 9089, 347, 858, 32, 464, 4882, 392, 284, 2443, 81, 13966, 6020, 1568, 330, 15824, 7148, 35, 35, 370, 284, 1481, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 3, 3, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 8, 8, 10, 10, 10, 10, 7, 6, 3, 3, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 4, 6, 6, 6, 6, 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, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 3, 3, 5, 5, 4, 8, 8, 8, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 5, 3, 3, 5, 5, 4, 5, 5, 8, 8, 8, 8, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 5, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 5, 5, 7, 7, 7, 7, 7, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 9, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 15, 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, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 21, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 23, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 25, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 27, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 29, 1, 1, 1, 1, 2, 1, 1, 0, 0, 31, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 43008, 203, 465, 2322, 203, 465, 7060, 203, 1070, 1532, 297, 96, 9510, 32, 102, 1707, 32, 7490, 1188, 4082, 203, 1070, 638, 1436, 81, 3926, 1188, 4578, 4084, 203, 823, 6833, 26, 6844, 9452, 32, 2861, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 81, 3926, 44, 4578, 4084, 30, 1760, 30, 2181, 47, 1026, 10306, 47, 2521, 711, 291, 2599, 17094, 1664, 3207, 1977, 47, 1977, 30, 2181, 47, 1132, 30, 10306, 47, 5321, 556, 12797, 291, 630, 1114, 4048, 81, 1567, 280, 43008, 32, 1151, 346, 291, 630, 1114, 1436, 81, 3926, 280, 1474, 81, 3926, 284, 665, 4719, 26, 784, 711, 291, 4082, 32, 2811, 463, 41139, 2164, 904, 101, 370, 630, 32, 6320, 27, 291, 630, 1114, 4048, 81, 1567, 32, 470, 346, 291, 415, 630, 1114, 1436, 81, 3926, 44, 324, 630, 1114, 1436, 81, 3926, 280, 1665, 324, 630, 1114, 1977, 32, 1436, 81, 3926, 280, 1665, 284, 665, 17487, 26, 784, 711, 291, 630, 32, 4048, 346, 291, 415, 630, 32, 297, 81, 19145, 2262, 324, 4082, 32, 2811, 463, 61, 9188, 2164, 904, 101, 370, 630, 32, 6320, 27, 324, 1596, 44, 400, 2322, 32, 14046, 2323, 26, 784, 32, 6320, 30, 7060, 32, 14840, 48995, 27, 324, 2940, 546, 21887, 619, 1137, 44, 400, 2322, 32, 14046, 26, 784, 32, 6320, 30, 7060, 32, 14840, 48995, 27, 284, 665, 1420, 26, 784, 711, 291, 4082, 32, 2811, 463, 15624, 2164, 904, 101, 370, 630, 32, 6320, 27, 291, 630, 1114, 1977, 32, 1436, 81, 3926, 280, 630, 1114, 1436, 81, 3926, 291, 630, 1114, 1436, 81, 3926, 32, 1366, 346, 291, 630, 1114, 1436, 81, 3926, 32, 6654, 26, 34, 32, 34, 27, 291, 1596, 44, 324, 630, 1114, 1409, 81, 1945, 81, 2795, 346, 291, 2940, 21300, 19497, 619, 484, 44, 324, 4082, 32, 2811, 463, 2861, 904, 101, 10501, 2339, 21300, 19497, 370, 630, 32, 6320, 27, 324, 630, 1114, 1436, 81, 3926, 32, 8151, 346, 291, 2940, 3268, 619, 1137, 44, 324, 3124, 280, 330, 5608, 2524, 26, 530, 32, 1132, 27, 415, 2069, 26, 530, 32, 1132, 27, 813, 596, 26, 530, 27, 324, 630, 1114, 1436, 81, 3926, 32, 731, 26, 2076, 27, 291, 8295, 44, 324, 630, 1114, 1436, 81, 3926, 32, 11333, 346, 324, 630, 1114, 1436, 81, 3926, 32, 2679, 346, 284, 665, 617, 1409, 81, 1945, 81, 2795, 26, 784, 711, 291, 436, 3124, 328, 630, 1114, 1977, 2740, 784, 1114, 1132, 30, 1115, 784, 1114, 5321, 711, 324, 415, 6937, 26, 2076, 30, 1897, 711, 400, 630, 1114, 1436, 81, 3926, 32, 6654, 26, 2076, 27, 324, 4348, 6937, 26, 2076, 30, 596, 711, 400, 630, 1114, 1436, 81, 3926, 32, 1436, 26, 2076, 27, 324, 415, 630, 1114, 4048, 81, 1567, 32, 297, 81, 470, 2262, 400, 630, 1114, 1436, 81, 3926, 32, 8151, 346, 400, 4082, 32, 2811, 463, 23114, 2164, 904, 101, 370, 630, 32, 6320, 27, 400, 1626, 203, 823, 6575, 299, 2861, 26, 2861, 711, 284, 665, 617, 1409, 81, 1945, 81, 2795, 26, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 5, 7, 4, 4, 4, 4, 5, 6, 4, 5, 6, 4, 3, 3, 9, 8, 8, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 10, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 7, 8, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 8, 8, 6, 6, 10, 11, 9, 10, 10, 10, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 4, 4, 5, 7, 8, 8, 8, 7, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 9, 10, 11, 9, 6, 6, 7, 7, 7, 11, 12, 12, 11, 13, 12, 13, 11, 11, 12, 13, 13, 11, 7, 7, 8, 10, 9, 9, 8, 8, 8, 12, 13, 12, 14, 13, 14, 12, 12, 13, 14, 14, 12, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 7, 8, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 8, 8, 7, 4, 4, 5, 5, 5, 9, 10, 10, 10, 10, 10, 9, 5, 5, 6, 8, 7, 7, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 12, 10, 7, 7, 11, 12, 12, 12, 10, 11, 10, 5, 5, 6, 7, 7, 6, 6, 6, 9, 9, 14, 13, 12, 14, 13, 14, 12, 10, 10, 12, 14, 13, 14, 12, 10, 10, 12, 13, 12, 7, 7, 11, 12, 12, 12, 10, 11, 10, 11, 10, 5, 5, 6, 6, 6, 11, 12, 12, 12, 10, 11, 10, 7, 7, 11, 12, 12, 12, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 8, 7, 10, 9, 10, 7, 7, 10, 9, 10, 7, 5, 5, 7, 9, 10, 9, 9, 9, 7, 7, 12, 13, 13, 13, 11, 12, 11, 12, 11, 7, 7, 8, 10, 11, 10, 10, 10, 8, 8, 13, 14, 14, 14, 12, 13, 12, 13, 12, 6, 6, 7, 10, 11, 11, 11, 9, 10, 10, 10, 9, 7, 7, 12, 13, 13, 13, 11, 12, 11, 8, 8, 11, 12, 11, 13, 13, 13, 13, 13, 11, 12, 13, 11, 8, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 2, 1, 4, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 5, 5, 2, 0, 0, 1, 2, 2, 5, 5, 0, 1, 1, 1, 2, 2, 0, 0, 3, 3, 0, 2, 2, 2, 2, 7, 2, 2, 9, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 3, 3, 0, 2, 0, 2, 2, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 0, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 0, 2, 2, 2, 0, 2, 1, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 3, 3, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 5, 5, 5, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 4, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 5, 5, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 2, 1 ]
[ 21, 203, 465, 41624, 203, 465, 2361, 203, 465, 5592, 32, 48609, 32, 1308, 3350, 619, 20523, 203, 7789, 81, 8460, 81, 4065, 280, 3056, 508, 33, 21066, 33, 6462, 1183, 2418, 25319, 25, 203, 23390, 527, 81, 16767, 280, 330, 508, 32, 21066, 32, 9401, 31, 2122, 31, 417, 2356, 25, 203, 2383, 4238, 81, 2952, 81, 2474, 280, 330, 1088, 32, 3994, 10953, 32, 23038, 32, 3289, 25, 203, 1844, 23411, 4307, 2147, 81, 2952, 81, 2474, 280, 330, 1088, 32, 3994, 10953, 32, 23038, 32, 1428, 35299, 444, 25, 203, 10539, 81, 2952, 81, 2474, 280, 330, 508, 32, 21066, 32, 2418, 25319, 32, 6462, 3033, 25, 203, 26098, 81, 8472, 81, 2952, 81, 2474, 280, 330, 508, 32, 21066, 32, 6462, 1183, 2418, 25319, 32, 8097, 3663, 25, 203, 26577, 81, 11695, 280, 330, 508, 32, 21066, 32, 6462, 1183, 2418, 25319, 32, 1572, 25, 203, 15415, 1893, 21199, 36, 81, 2952, 81, 2474, 280, 330, 1088, 32, 317, 10967, 32, 32717, 36, 25, 203, 19428, 81, 2952, 81, 2474, 280, 330, 1088, 32, 317, 10967, 32, 32717, 36, 32, 3505, 25, 203, 3264, 6866, 81, 681, 203, 4891, 81, 681, 280, 41624, 32, 3135, 5990, 346, 203, 589, 1459, 81, 1260, 26, 2962, 711, 284, 1459, 2361, 32, 16958, 26, 2962, 30, 10525, 47, 38, 30, 3844, 81, 3494, 47, 1815, 27, 203, 589, 622, 81, 3337, 26, 983, 30, 415, 81, 426, 711, 284, 442, 41624, 32, 3041, 26, 4891, 81, 681, 32, 371, 81, 1473, 26, 23390, 527, 81, 16767, 30, 1519, 471, 415, 81, 426, 27, 203, 823, 26673, 26, 1473, 711, 284, 313, 31738, 312, 13100, 2719, 20, 284, 665, 1156, 1664, 3207, 784, 30, 1300, 81, 983, 711, 291, 630, 3667, 983, 280, 1300, 81, 983, 291, 630, 3667, 2962, 2952, 280, 622, 81, 3337, 26, 1473, 81, 983, 30, 4158, 4238, 81, 2952, 81, 2474, 27, 291, 630, 3667, 3840, 2952, 280, 622, 81, 3337, 26, 1473, 81, 983, 30, 447, 21199, 81, 2952, 81, 2474, 27, 291, 630, 3667, 2018, 2035, 2952, 280, 622, 81, 3337, 26, 1473, 81, 983, 30, 447, 13899, 81, 8472, 81, 2952, 81, 2474, 27, 284, 665, 622, 81, 11201, 26, 784, 711, 291, 1596, 44, 324, 629, 35299, 444, 81, 2952, 280, 622, 81, 3337, 26, 784, 3667, 983, 30, 13588, 5985, 23411, 4307, 2147, 81, 2952, 81, 2474, 27, 291, 2940, 44, 324, 1459, 26, 103, 20, 5288, 372, 10847, 629, 35299, 444, 2568, 657, 291, 629, 32402, 280, 629, 35299, 444, 81, 2952, 32, 1428, 35299, 346, 291, 4345, 280, 20523, 32, 1070, 800, 26, 410, 32402, 27, 291, 442, 428, 91, 32, 22765, 710, 426, 785, 436, 595, 328, 4345, 415, 595, 32, 2142, 610, 313, 3337, 1446, 284, 665, 14091, 26, 784, 711, 291, 436, 595, 328, 630, 32, 371, 81, 11201, 2262, 324, 1459, 595, 284, 665, 622, 81, 4641, 26, 784, 30, 7018, 81, 426, 30, 8267, 81, 325, 81, 426, 280, 7746, 44, 291, 442, 630, 3667, 2962, 2952, 32, 936, 26, 3369, 81, 325, 81, 426 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 0, 3, 3, 3, 2, 2, 4, 5, 5, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 6, 5, 5, 6, 7, 5, 5, 7, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 5, 6, 5, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 8, 7, 7, 7, 5, 6, 6, 5, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 9, 9, 9, 8, 8, 10, 10, 10, 12, 11, 12, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 10, 5, 5, 6, 6, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 6, 6, 9, 9, 9, 9, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 8, 9, 9, 8, 4, 4, 5, 9, 8, 9, 7, 9, 9, 6, 7, 7, 7, 6, 7, 9, 10, 8, 8, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 7, 8, 8, 8, 7, 5, 5, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 6, 6, 6, 5, 5, 3, 3, 3, 5, 8, 9, 9, 7, 8, 7, 8, 8, 8, 8, 8 ]
[ 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 2, 0, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 0, 16, 16, 1, 1, 2, 1, 2, 2, 3, 3, 2, 16, 16, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 17, 17, 2, 1, 2, 17, 17, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 0, 0, 3, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 3, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 3, 0, 2, 1, 1, 1, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 0, 0, 0, 0, 5, 5, 4, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1 ]
[ 465, 5237, 30, 802, 30, 1133, 30, 3738, 203, 465, 3619, 10369, 32, 1040, 32, 13480, 85, 5484, 101, 619, 310, 19207, 5484, 101, 203, 465, 3619, 10369, 32, 21221, 619, 2764, 95, 203, 465, 3619, 10369, 32, 4280, 32, 54, 4461, 619, 475, 4461, 203, 465, 3619, 10369, 32, 4280, 32, 13273, 504, 619, 17444, 504, 203, 1070, 1933, 1188, 28667, 203, 823, 33009, 1175, 26, 310, 19207, 5484, 101, 32, 70, 500, 4090, 829, 499, 334, 665, 1156, 1664, 3207, 784, 30, 2935, 30, 3860, 620, 30, 319, 1167, 3080, 27, 499, 284, 630, 32, 2544, 280, 2935, 284, 436, 308, 1851, 3180, 30, 1536, 27, 328, 630, 32, 2544, 32, 1536, 1853, 2778, 499, 397, 630, 3667, 2665, 505, 77, 1851, 3180, 79, 280, 1665, 284, 310, 19207, 5484, 101, 32, 70, 500, 4090, 3667, 1664, 3207, 784, 30, 2935, 32, 725, 32, 20784, 32, 2210, 81, 9505, 12252, 8037, 30, 319, 1167, 3080, 27, 334, 665, 617, 5157, 3180, 26, 784, 30, 1600, 30, 4356, 30, 4356, 606, 27, 499, 284, 415, 827, 26, 1495, 27, 610, 310, 19207, 5484, 101, 32, 13480, 85, 620, 461, 308, 1568, 827, 26, 753, 27, 610, 629, 556, 827, 26, 753, 27, 610, 1946, 556, 1568, 827, 26, 753, 27, 610, 1897, 556, 827, 26, 753, 27, 610, 596, 556, 1568, 827, 26, 753, 27, 610, 15390, 829, 499, 397, 1600, 32, 853, 280, 4356, 284, 4348, 827, 26, 1495, 27, 610, 827, 26, 753, 27, 499, 397, 1600, 280, 4356, 284, 813, 499, 397, 3636, 3268, 440, 15095, 3395, 827, 436, 4356, 38235, 101, 32, 225, 33242, 827, 904, 101, 3107, 904, 308, 291, 596, 26, 753, 606, 471, 596, 26, 681, 26, 1495, 2610, 829, 334, 665, 617, 2714, 26, 784, 30, 2965, 30, 319, 966, 3080, 30, 1115, 426, 3080, 27, 499, 284, 19757, 3080, 280, 1404, 284, 458, 1853, 280, 28667, 26, 784, 27, 284, 436, 595, 328, 2155, 26, 1657, 26, 966, 3080, 490, 499, 397, 458, 1853, 1114, 5157, 3180, 26, 578, 1853, 32, 853, 77, 578, 1853, 32, 4151, 77, 91, 29, 35, 11159, 426, 40428, 3400, 3080, 77, 91, 614, 595, 27, 284, 436, 1202, 328, 636, 3080, 32, 3494, 346, 499, 397, 415, 646, 458, 1853, 32, 853, 32, 2040, 81, 678, 26, 678, 27, 499, 291, 3636, 3268, 440, 5609, 636, 904, 101, 2979, 31, 29801, 20, 904, 1202, 27, 397, 458, 1853, 1114, 5157, 3180, 26, 578, 1853, 32, 853, 77, 678, 614, 636, 3080, 77, 678, 614, 1202, 27, 284, 458, 1853, 32, 2544, 32, 2714, 21221, 32, 2714, 26, 2468, 30, 458, 1853, 30, 319, 4850, 3080, 27, 334, 665, 3185, 1853, 2778, 26, 784, 30, 636, 3080, 27, 499, 284, 1476, 2778, 280, 630, 32, 371, 1853, 2778, 346, 284, 436, 4356, 328, 636, 3080, 32, 3494, 346, 499, 397, 415, 1476, 2778, 32, 2040, 81, 678, 26, 753, 27, 499, 291, 1476, 2778, 77, 753, 79, 280, 636, 3080, 77, 753, 79, 291, 3555, 636, 3080, 77, 753, 79, 284, 442, 1476, 2778, 334, 665, 622 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 3, 4, 3, 4, 4, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 4, 3, 4, 2, 2, 3, 0, 1, 1, 4, 3, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 4, 3, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 6, 6, 4, 3, 3, 3, 7, 8, 6, 6, 4, 4, 5, 7, 7, 6, 7, 6, 5, 5, 7, 8, 6, 7, 7, 7, 5, 5, 5, 10, 11, 11, 9, 10, 10, 9, 8, 8, 4, 4, 9, 9, 9, 8, 9, 9, 9, 7, 8, 8, 8, 7, 7, 10, 11, 9, 10, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 5, 9, 10, 9, 7, 7, 9, 9, 9, 8, 9, 9, 9, 6, 6, 7, 7, 14, 15, 14, 12, 12, 11, 11, 14, 15, 14, 12, 12, 10, 10, 10, 13, 14, 13, 11, 11, 9, 9, 12, 13, 12, 10, 10, 8, 8, 8, 11, 12, 11, 9, 9, 7, 5, 5, 5, 9, 10, 8, 8, 5, 5, 6, 9, 10, 9, 7, 7, 9, 10, 9, 6, 6, 6, 9, 9, 5, 5, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 12, 14, 15, 15, 14, 12, 14, 16, 16, 17, 16, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 4, 4, 6, 6, 4, 3, 3, 3, 7, 6, 6, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 7, 9, 9, 10, 10, 9, 5, 5, 5, 10, 9, 10, 10, 9, 12, 12, 11, 12, 10, 14, 14, 13, 14, 12, 14, 13, 14, 12, 13, 13, 9, 11, 10, 11, 10, 9, 9, 4, 4, 5, 5, 5, 8, 7, 8, 7, 5, 5, 5, 7, 8, 12, 11, 12, 10, 11, 11, 11, 10, 11, 10, 7, 7, 7, 9, 11, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 11, 6, 6, 10, 9, 10, 10, 9, 12, 12, 11, 12, 10, 11, 10, 9, 11, 10, 11, 10, 9, 9, 4, 4, 10, 9, 10, 8, 9, 9, 7, 8, 7, 8, 7, 7, 8, 7, 7, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 3, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 5, 5, 8, 7, 8, 7, 5, 5, 5, 7, 10, 9, 10, 10, 10, 9, 10, 9, 7, 7, 7, 12, 11, 12, 11, 10, 10, 12, 11, 12, 11, 8, 8, 9, 11, 10, 11, 10, 4, 4, 5, 6, 2, 2, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 4, 4, 4, 4, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 3, 3, 0, 0, 2, 0, 4, 4, 1, 1, 2, 0, 4, 4, 0, 0, 2, 0, 4, 4, 1, 1, 2, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 6, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 3, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 3, 2, 3, 1, 1, 4, 4, 3, 3, 3, 0, 0, 2, 1, 3, 3, 3, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 3, 2, 3, 1, 1, 4, 4, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 3, 3, 1, 0, 1, 2, 1, 4, 4, 2, 1, 4, 4, 4 ]
[ 605, 280, 308, 203, 25, 51, 370, 262, 203, 25, 52, 370, 262, 203, 25, 53, 370, 262, 203, 25, 54, 370, 262, 203, 25, 55, 370, 262, 203, 25, 56, 370, 262, 203, 25, 57, 370, 262, 203, 25, 58, 370, 262, 203, 25, 59, 370, 262, 203, 25, 60, 370, 262, 203, 25, 61, 370, 262, 203, 25, 62, 370, 262, 203, 25, 63, 370, 262, 203, 25, 64, 370, 262, 203, 25, 65, 370, 262, 203, 25, 66, 370, 262, 203, 25, 67, 370, 262, 203, 25, 68, 370, 262, 203, 25, 69, 370, 262, 203, 25, 70, 370, 262, 203, 25, 71, 370, 262, 203, 25, 72, 370, 262, 203, 25, 73, 370, 262, 203, 25, 74, 370, 262, 203, 25, 75, 370, 262, 203, 25, 76, 370, 262, 203, 25, 83, 370, 262, 203, 25, 84, 370, 262, 203, 25, 85, 370, 262, 203, 5438, 370, 262, 203, 25, 87, 370, 262, 203, 25, 88, 370, 262, 203, 25, 89, 370, 262, 203, 25, 90, 370, 262, 203, 25, 91, 370, 262, 203, 25, 92, 370, 262, 203, 25, 93, 370, 262, 203, 25, 94, 370, 262, 203, 3464, 370, 262, 203, 25, 96, 370, 262, 203, 25, 97, 370, 262, 203, 25, 98, 370, 262, 203, 25, 99, 370, 262, 203, 25, 100, 370, 262, 203, 1182, 370, 262, 203, 1330, 370, 262, 203, 25, 103, 370, 262, 203, 25, 104, 370, 262, 203, 25, 105, 370, 262, 203, 25, 106, 370, 262, 203, 25, 107, 370, 262, 203, 25, 108, 370, 262, 203, 25, 51, 370, 262, 203, 25, 52, 370, 262, 203, 25, 53, 370, 262, 203, 25, 54, 370, 262, 203, 25, 55, 370, 262, 203, 25, 56, 370, 262, 203, 25, 57, 370, 262, 203, 25, 58, 370, 262, 203, 25, 59, 370, 262, 203, 25, 60, 370, 262, 203, 25, 61, 370, 262, 203, 25, 62, 370, 262, 203, 25, 63, 370, 262, 203, 25, 64, 370, 262, 203, 25, 65, 370, 262, 203, 25, 66, 370, 262, 203, 25, 67, 370, 262, 203, 25, 68, 370, 262, 203, 25, 69, 370, 262, 203, 25, 70, 370, 262, 203, 25, 71, 370, 262, 203, 25, 72, 370, 262, 203, 25, 73, 370, 262, 203, 25, 74, 370, 262, 203, 25, 75, 370, 262, 203, 25, 76, 370, 262, 203, 25, 83, 370, 262, 203, 25, 84, 370, 262, 203, 25, 85, 370, 262, 203, 5438, 370, 262, 203, 25, 87, 370, 262, 203, 25, 88, 370, 262, 203, 25, 89, 370, 262, 203, 2521, 30, 262, 203, 25, 91, 370, 262, 203, 25, 92, 370, 262, 203, 25, 93, 370, 262, 203, 25, 94, 370, 262, 203, 3464, 370, 262, 203, 25, 96, 370, 262, 203, 25, 97, 370, 262, 203, 25, 98, 370, 262, 203, 25, 99, 370, 262, 203, 25, 100, 370, 262, 203, 1182, 370, 262, 203, 1330, 370, 262, 203, 25, 103, 370, 262, 203, 25, 104, 370, 262, 203, 25, 105, 370, 262, 203, 25, 106, 370, 262, 203, 25, 107, 370, 262, 203, 25, 108 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 2, 2, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 4, 3, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5 ]
[ 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 171, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1 ]
[ 465, 2322, 203, 1070, 35381, 1188, 4361, 203, 465, 11171, 203, 465, 22977, 203, 465, 5237, 203, 10573, 47, 39, 36, 203, 15000, 47, 35, 37, 203, 39725, 1057, 359, 36546, 36, 25, 203, 10933, 8155, 81, 3197, 47, 3056, 3381, 33, 1771, 25, 203, 22813, 81, 3412, 7267, 280, 18571, 8155, 81, 3197, 474, 3056, 16210, 81, 35622, 969, 101, 25, 203, 6177, 81, 3197, 1468, 280, 3005, 25, 203, 10843, 81, 3197, 2264, 280, 21565, 81, 3197, 474, 313, 541, 5681, 203, 10840, 81, 43518, 81, 3197, 261, 280, 21565, 81, 3197, 474, 330, 8095, 7404, 203, 10840, 81, 42270, 81, 3197, 261, 280, 21565, 81, 3197, 474, 46040, 6582, 474, 13637, 203, 10843, 81, 43518, 81, 3197, 225, 280, 21565, 81, 3197, 474, 330, 15272, 7404, 203, 10843, 81, 42270, 81, 3197, 225, 280, 21565, 81, 3197, 474, 330, 18502, 7404, 203, 42270, 81, 1589, 81, 3539, 225, 280, 21451, 81, 42270, 81, 3197, 474, 330, 18502, 32, 2760, 25, 203, 43518, 81, 1589, 81, 3539, 225, 280, 21451, 81, 43518, 81, 3197, 474, 330, 15272, 32, 2760, 25, 203, 21433, 81, 3539, 1468, 280, 21451, 81, 42270, 81, 3197, 474, 330, 3137, 761, 32, 3137, 25, 203, 2402, 81, 626, 280, 6470, 3137, 904, 101, 25, 904, 308, 21433, 81, 3539, 27, 203, 1644, 81, 2273, 81, 626, 280, 6470, 105, 904, 86, 429, 90, 904, 86, 25, 904, 308, 10573, 30, 29920, 27, 203, 589, 1459, 81, 8795, 2262, 284, 1459, 313, 6772, 44, 35535, 32, 978, 428, 3774, 12032, 284, 1459, 313, 261, 769, 27724, 769, 20, 284, 1459, 313, 225, 7528, 351, 769, 15530, 10999, 322, 11003, 9801, 1149, 20, 284, 1459, 313, 225, 3400, 351, 769, 29527, 732, 1169, 322, 5081, 11557, 2276, 372, 312, 2156, 4126, 4026, 20, 284, 1459, 313, 225, 2519, 966, 264, 769, 45523, 322, 11557, 9801, 688, 4528, 3272, 20, 284, 1459, 313, 225, 5683, 647, 769, 40644, 322, 2016, 436, 322, 39452, 22929, 8218, 20, 203, 589, 803, 81, 1657, 26, 10555, 711, 284, 623, 2156, 26, 10555, 27, 619, 296, 44, 291, 436, 595, 30, 456, 328, 10703, 26, 88, 711, 324, 3097, 284, 442, 595, 474, 225, 35, 203, 2501, 5487, 203, 325, 2016, 863, 34863, 284, 3097, 203, 12106, 2069, 26, 3731, 32, 6118, 27, 863, 225, 36, 44, 284, 1459, 81, 8795, 346, 284, 4323, 346, 203, 1824, 44, 284, 2016, 280, 5237, 32, 6118, 77, 35, 79, 203, 325, 2016, 610, 313, 8095, 563, 284, 1459, 313, 10654, 20, 284, 436, 7528, 81, 761, 328, 2322, 32, 26366, 26, 10840, 81, 43518, 81, 3197, 711, 291, 415, 313, 313, 328, 7528, 81, 761, 44, 324, 11216, 30, 803, 4814, 280, 2322, 32, 983, 32, 48271, 26, 8095, 81, 761, 27, 324, 537, 3607, 280, 225, 596, 26, 6572, 32, 6572, 38, 1157, 474, 803, 4814, 324, 2322, 32, 13141, 26, 10840, 81, 43518, 81, 3197, 474, 7528, 81, 761, 30, 20587, 81, 42270, 81, 3197, 474, 537, 3607, 27, 284, 296, 280, 2156, 26, 43518, 81, 1589, 81, 3539, 1947, 105, 683, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 3, 3, 0, 3, 2, 3, 3, 0, 3, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 2, 4, 0, 3, 3, 3, 2, 2, 2, 4, 4, 3, 3, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 2, 4, 4, 3, 3, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 2, 5, 5, 4, 4, 5, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 2, 4, 4, 3, 3, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 2, 4, 4, 3, 3, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 3, 5, 5, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 4, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 8, 9, 8, 6, 6, 3, 3, 3, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 2, 2, 3, 4, 4, 5, 0, 3, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 5, 7, 6, 7, 5, 3, 3, 4, 2, 2, 2, 6, 6, 6, 3, 3, 6, 1, 2, 2, 2, 2, 5, 5, 7, 8, 6, 7, 6, 0, 1, 1, 2, 2, 4, 4, 1, 1, 3, 5, 5, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 6, 6, 6, 6, 6, 5, 3, 3, 5, 8, 6, 6, 7, 7, 5, 5, 5, 9, 9, 10, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 6, 6, 9, 8, 8, 8, 11, 14, 13, 14, 14, 13, 9, 9, 10, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 10, 10, 11, 11, 9, 9, 11, 11, 11, 11, 10, 10, 11, 9, 2, 2, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 8, 2 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 21, 21, 1, 1, 2, 21, 21, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 22, 22, 1, 1, 2, 1, 2, 22, 22, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 4, 4, 1, 1, 1, 2, 0, 0, 0, 0, 24, 24, 1, 1, 24, 24, 24, 4, 4, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 4, 0, 0, 1, 3, 3, 1, 24, 5, 5, 5, 5, 0, 0, 0, 2, 2, 2, 2, 0, 25, 25, 1, 1, 1, 2, 25, 25, 0, 1, 2, 3, 3, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 3, 3, 2, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3 ]
[ 9592, 284, 9911, 15855, 2222, 31, 267, 284, 2640, 308, 53, 27, 225, 36, 34, 35, 39, 9254, 284, 1348, 3460, 438, 3741, 2932, 44, 844, 883, 14086, 561, 461, 33, 271, 5351, 284, 561, 1531, 322, 5955, 432, 322, 6987, 6146, 5056, 1177, 619, 9581, 810, 284, 322, 7823, 3859, 7113, 30, 3154, 1503, 225, 37, 432, 322, 1177, 30, 556, 284, 308, 269, 1370, 2470, 27, 1346, 6125, 1503, 32, 284, 1348, 3460, 438, 2728, 328, 322, 9845, 688, 561, 1098, 526, 6364, 30, 284, 1273, 4197, 2964, 9339, 45, 2876, 4444, 322, 4500, 14327, 432, 284, 7930, 556, 8108, 4786, 399, 7848, 7755, 32, 225, 2802, 322, 284, 6987, 6146, 5056, 1177, 436, 1829, 4245, 32, 284, 2448, 1395, 1159, 6584, 312, 1933, 432, 322, 6987, 6146, 5056, 1177, 284, 7947, 623, 458, 3460, 32, 225, 1670, 646, 30, 2318, 333, 525, 555, 1499, 32, 10628, 32, 1088, 33, 4188, 28733, 203, 9592, 203, 465, 316, 30, 965, 2208, 30, 1260, 203, 1070, 6086, 32, 1356, 32, 20404, 1188, 2043, 203, 1070, 6086, 32, 1356, 1188, 17159, 101, 203, 823, 1914, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1439, 81, 1204, 280, 330, 525, 555, 95, 4849, 3403, 32, 508, 25, 291, 630, 32, 1903, 81, 1204, 280, 3056, 104, 35, 33, 1237, 33, 1903, 49, 1217, 6132, 101, 25, 284, 665, 622, 81, 12895, 26, 784, 30, 3960, 1199, 30, 1780, 30, 4947, 711, 291, 1596, 44, 324, 2467, 280, 630, 32, 1903, 81, 1204, 904, 3960, 1199, 324, 2467, 280, 1984, 2208, 32, 965, 2524, 26, 784, 32, 1439, 81, 1204, 30, 2467, 27, 324, 1056, 280, 2043, 32, 1855, 26, 1217, 27, 324, 1056, 280, 2361, 32, 12474, 26, 1267, 27, 324, 1056, 280, 1056, 710, 22195, 8150, 34, 5795, 7794, 785, 324, 1984, 280, 3056, 22195, 9708, 101, 25, 904, 1056, 324, 1984, 280, 2043, 32, 3227, 4424, 11953, 26, 965, 27, 324, 1984, 280, 1984, 32, 4434, 463, 3310, 31, 42, 683, 324, 442, 1984, 291, 2940, 44, 324, 442, 284, 665, 622, 81, 2245, 26, 784, 30, 3960, 1199, 30, 14994, 1199, 30, 14994, 2245, 1311, 30, 4947, 711, 291, 1596, 44, 324, 1984, 280, 6611, 101, 10027, 101, 9905, 904, 308, 7598, 2245, 1311, 30, 4947, 27, 324, 1984, 280, 2043, 32, 3227, 4424, 11953, 26, 965, 27, 324, 1984, 280, 1984, 32, 4434, 463, 3310, 31, 42, 683, 324, 442, 1984, 291, 2940, 44, 324, 442, 284, 665, 622, 81, 20053, 26, 784, 30, 1984, 30, 3960, 1199, 30, 14994, 1199, 30, 1780, 30, 2340, 30, 26822, 30, 21609, 711, 291, 1596, 44, 324, 2467, 280, 630, 32, 1903, 81, 1204, 904, 3960, 1199, 324, 2467, 280, 1984, 2208, 32, 965, 2524, 26, 784, 32, 1439, 81, 1204, 30, 2467, 27, 324, 1056, 280, 2043, 32, 1855, 26, 1217, 27, 324, 1056, 280, 2361, 32, 12474, 26, 1267, 27, 324, 1056, 280, 1056, 710, 22195, 785, 324, 26822, 280, 6611, 34, 36, 86, 25, 904, 629, 26, 26990, 27, 324, 21609, 280, 6611, 34, 36, 86, 25 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 3, 3, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 8, 8, 10, 11, 11, 11, 9, 9, 10, 6, 6, 8, 8, 11, 10, 11, 11, 10, 12, 11, 12, 12, 12, 10, 10, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 8, 8, 11, 13, 13, 11, 10, 11, 11, 6, 6, 8, 8, 11, 11, 11, 11, 9, 9, 6, 6, 8, 8, 10, 11, 11, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 12, 12, 12, 12, 6, 6, 7, 5, 5, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 8, 8, 11, 11, 11, 11, 9, 9, 11, 11, 11, 10, 10, 10, 6, 6, 8, 8, 10, 11, 11, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 12, 12, 12, 12, 6, 6, 7, 5, 5, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 8, 8, 10, 11, 11, 11, 9, 9, 10, 6, 6, 8, 8, 11, 10, 11, 11, 10, 12, 11, 12, 12, 12, 10, 10, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 8, 8, 9, 11, 11, 6, 6, 8, 8, 11, 11, 11, 11, 9, 9, 11, 12, 11, 6, 6, 8, 8, 11, 11, 11, 11 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 4, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 8, 0, 0, 3, 3, 3, 3, 3, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 7, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2 ]
[ 465, 316, 203, 1070, 7361, 2195, 32, 7491, 32, 8288, 32, 3378, 1188, 2662, 203, 1070, 7361, 2195, 81, 5558, 32, 1439, 1188, 3772, 4152, 203, 465, 7361, 2195, 81, 5558, 32, 1163, 619, 1359, 203, 823, 3383, 26, 1163, 32, 1761, 1063, 711, 284, 5079, 81, 41456, 280, 1359, 32, 1176, 26, 291, 1244, 18278, 19, 31, 3439, 291, 2129, 47, 2700, 30, 291, 3049, 81, 878, 347, 1010, 324, 23759, 312, 1149, 432, 10605, 15866, 1510, 2530, 324, 322, 1477, 432, 5218, 372, 526, 10302, 308, 35364, 645, 322, 8821, 27, 291, 1524, 284, 829, 203, 589, 1395, 81, 3617, 81, 878, 26, 878, 30, 5079, 81, 41456, 711, 284, 442, 1346, 26, 291, 308, 324, 5202, 461, 324, 316, 32, 2872, 26, 4254, 30, 1344, 30, 5736, 47, 268, 32, 1434, 2576, 6755, 3204, 27, 438, 646, 1665, 291, 829, 291, 436, 5202, 328, 5079, 81, 41456, 284, 829, 203, 823, 11028, 26, 1761, 4152, 711, 284, 1359, 81, 823, 280, 3383, 284, 665, 1245, 283, 26, 784, 30, 1628, 711, 291, 415, 1628, 1114, 3237, 81, 426, 32, 15990, 4120, 10280, 324, 5079, 81, 41456, 280, 630, 32, 1163, 710, 3617, 81, 41456, 785, 324, 415, 5079, 81, 41456, 44, 400, 415, 646, 6937, 26, 3617, 81, 41456, 30, 1149, 711, 528, 5079, 81, 41456, 280, 428, 3617, 81, 41456, 79, 324, 813, 44, 400, 5079, 81, 41456, 280, 1605, 324, 1344, 280, 1628, 32, 878, 324, 415, 1344, 32, 15990, 440, 8750, 313, 711, 400, 1344, 280, 1344, 77, 41, 10056, 324, 415, 646, 1395, 81, 3617, 81, 878, 26, 878, 30, 5079, 81, 41456, 711, 400, 2662, 32, 5740, 32, 1297, 26, 528, 3826, 81, 314, 47, 928, 1114, 3237, 32, 3174, 30, 528, 6341, 47, 928, 1114, 15628, 30, 528, 22157, 47, 928, 32, 496, 30, 528, 1344, 47, 928, 32, 2620, 81, 878, 30, 528, 8355, 47, 928, 1114, 3237, 30, 528, 3408, 47, 928, 1114, 2035, 30, 528, 2016, 47, 928, 1114, 2501, 30, 528, 5081, 47, 928, 1114, 1294, 27, 284, 1245, 283, 32, 4351, 81, 5275, 280, 2726, 5704, 90, 2475, 370, 13380, 25, 29548, 19188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 4, 4, 4, 3, 4, 2, 2, 0, 1, 1, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 6, 6, 7, 10, 10, 10, 6, 6, 7, 8, 6, 6, 6, 8, 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, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 5, 5, 5, 6, 6, 7, 7, 7, 10, 11, 10, 11, 10, 10, 10, 10, 11, 13, 12, 13, 13, 13, 13, 10, 8, 8, 8, 6, 6, 5, 5, 6, 6, 6, 7, 7, 5, 5, 0, 1, 1, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 9, 9, 7, 8, 7, 9, 5, 5, 9, 9, 8, 8, 10, 11, 9, 11, 11, 11, 11, 6, 6, 7, 8, 8, 7, 7, 7, 9, 10, 12, 13, 13, 13, 12, 12, 12, 9, 9, 13, 13, 12, 12, 14, 14, 14, 13, 7, 7, 8, 8, 8, 12, 12, 11, 11, 6, 6, 8, 8, 9, 10, 6, 6, 7, 9, 10, 9, 11, 11, 9, 7, 7, 10, 10, 11, 13, 12, 6, 6, 7, 8, 10, 10, 10, 10, 10, 11, 10, 10, 11, 11, 10, 7, 7, 12, 13, 11, 12, 11, 11, 11, 13, 13, 12, 15, 14, 15, 13, 14, 11, 11, 11, 12, 14, 13, 14, 11, 11, 11, 12, 14, 13, 14, 11, 11, 11, 12, 14, 13, 14, 14, 14, 11, 11, 11, 12, 14, 13, 14, 11, 11, 11, 12, 14, 13, 14, 11, 11, 11, 12, 14, 13, 14, 11, 11, 11, 12, 14, 13, 14, 11, 2, 2, 6, 5, 6, 6, 6, 4, 4, 7, 7, 7, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 6, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 0, 2, 1, 1, 0, 4, 4, 2, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 5, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 0, 6, 6, 2, 1, 1, 2, 6, 6, 0, 0, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 3, 3, 0, 0, 2, 2, 3, 3, 3, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 2, 0, 2, 3, 3, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 3, 0, 2, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 7, 0, 2, 2, 2, 2, 1, 1, 1, 9, 0, 2, 2, 1, 1, 1, 11, 0, 2, 2, 1, 1, 1, 13, 0, 2, 2, 1, 1, 1, 15, 0, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 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 ]
[ 1070, 14208, 38, 1188, 39231, 203, 465, 46436, 32, 605, 203, 1070, 46436, 32, 30066, 1188, 3594, 81, 30066, 203, 465, 12460, 203, 465, 24297, 203, 465, 5237, 203, 26331, 280, 46436, 32, 605, 32, 944, 463, 1956, 9229, 33, 98, 32279, 33, 25256, 380, 32, 24088, 683, 203, 589, 4644, 81, 18107, 26, 101, 711, 284, 415, 2069, 26, 101, 27, 333, 225, 38, 556, 309, 32, 998, 35052, 848, 225, 38, 44, 291, 442, 3177, 284, 813, 44, 291, 16105, 280, 2761, 26, 5962, 816, 44, 106, 32, 44065, 1026, 101, 27, 291, 415, 2069, 26, 17980, 27, 848, 308, 1808, 26, 1657, 26, 101, 30210, 36, 711, 324, 442, 3177, 291, 813, 44, 324, 442, 2933, 203, 589, 28842, 81, 979, 81, 761, 26, 3607, 711, 284, 623, 2156, 26, 3607, 27, 619, 296, 44, 291, 31628, 280, 39231, 26, 88, 27, 291, 880, 101, 280, 2761, 26, 5962, 298, 44, 646, 298, 610, 1665, 30, 2855, 1992, 26, 5962, 816, 44, 106, 32, 371, 81, 878, 1026, 31628, 32, 1809, 81, 464, 463, 279, 21180, 291, 28842, 280, 428, 1112, 81, 30066, 26, 18107, 27, 436, 816, 328, 880, 101, 3486, 436, 15430, 328, 26764, 32, 30066, 26, 106, 2177, 291, 442, 2107, 5608, 2524, 26, 101, 547, 4434, 463, 3310, 31, 42, 683, 436, 309, 328, 2761, 26, 7127, 81, 18107, 30, 28842, 2177, 203, 589, 2575, 26, 22601, 711, 284, 623, 24297, 32, 1676, 10198, 22792, 7404, 474, 42420, 474, 7610, 7355, 32, 2760, 32, 6680, 1195, 105, 683, 619, 296, 44, 291, 436, 4870, 328, 12460, 32, 13285, 10198, 605, 7404, 474, 42420, 474, 330, 1109, 11734, 2593, 7831, 324, 296, 32, 1821, 9442, 96, 2473, 2524, 26, 32203, 81, 979, 81, 761, 26, 3607, 2610, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 296, 2516, 225, 280, 5053, 93, 270, 370, 330, 359, 84, 370, 330, 270, 84, 370, 330, 481, 370, 330, 2371, 370, 330, 270, 20579, 370, 330, 12465, 370, 330, 90, 370, 330, 1551, 89, 370, 330, 1442, 101, 6040, 284, 42420, 261, 280, 5237, 32, 6118, 77, 35, 79, 284, 415, 42420, 328, 296, 2516, 44, 291, 2575, 26, 22601, 27, 284, 813, 44, 291, 3636, 25085, 463, 2023, 8967, 4844, 432, 688, 827, 32, 308, 4282, 20087, 44, 10699, 22601, 474, 11134, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 7, 8, 7, 5, 5, 6, 4, 4, 7, 8, 7, 5, 5, 6, 3, 3, 3, 5, 3, 3, 4, 4, 4, 7, 7, 9, 10, 10, 10, 13, 12, 13, 12, 10, 9, 5, 5, 6, 9, 10, 9, 7, 7, 11, 11, 13, 13, 14, 13, 10, 8, 6, 6, 8, 6, 6, 7, 7, 7, 9, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 8, 9, 8, 6, 6, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 10, 11, 11, 8, 8, 8, 10, 11, 11, 11, 14, 13, 14, 14, 14, 13, 10, 12, 13, 13, 13, 12, 14, 14, 4, 4, 6, 6, 9, 9, 9, 9, 10, 9, 7, 8, 8, 8, 9, 7, 7, 8, 8, 8, 10, 11, 10, 11, 10, 4, 4, 5, 12, 11, 10, 11, 10, 9, 8, 10, 10, 10, 10, 6, 7, 7, 7, 9, 10, 10, 10, 9, 9, 9, 0, 1, 1, 2, 3, 2, 1, 1, 3, 8, 9, 8, 12, 12, 10, 10, 9, 9, 11, 11, 11, 11, 11, 11, 10, 10, 6, 6, 3, 3, 3, 5, 5, 5, 7, 8, 7, 11, 11, 9, 9, 8, 8, 10, 10, 10, 10, 5, 5, 9, 10, 9, 14, 13, 12, 11, 13, 13, 13, 13, 13, 13, 14, 13, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 4, 4, 4, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 2, 2, 4, 4, 4, 6, 7, 5, 6, 5, 2, 2, 3, 4, 4, 5, 3, 3, 3, 7, 8, 7, 3, 3, 4, 4, 4, 6, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 9, 9, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 3, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 4, 4, 4, 0, 0, 8, 8, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 0, 2, 1, 1, 1, 3, 3, 3, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 2, 1, 2, 9, 9, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 10, 10, 0, 0, 1, 1, 1, 1, 10, 10, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 49093, 1188, 629, 203, 1070, 7062, 1188, 6216, 81, 5248, 203, 9138, 81, 5248, 32, 3789, 81, 17030, 346, 203, 1070, 49093, 1188, 596, 203, 1070, 49093, 1188, 2155, 203, 1070, 49093, 1188, 1300, 203, 465, 281, 5123, 203, 465, 22045, 32, 1357, 30, 22045, 32, 2208, 30, 22045, 32, 731, 203, 465, 1133, 203, 465, 3995, 203, 465, 22045, 32, 2208, 203, 465, 48088, 203, 465, 7395, 14510, 203, 4530, 280, 330, 35, 32, 34, 25, 225, 203, 5068, 81, 9544, 280, 330, 2788, 25, 203, 36108, 81, 9544, 280, 330, 2743, 12569, 2399, 25, 203, 823, 16812, 924, 26, 41358, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 1057, 17223, 1048, 30695, 32, 7831, 291, 630, 32, 1436, 280, 1474, 203, 589, 1968, 81, 22053, 81, 2111, 26, 21355, 1057, 7831, 284, 442, 5053, 18906, 73, 31, 33752, 950, 330, 17223, 24482, 28664, 101, 14891, 904, 24482, 111, 203, 589, 15820, 26, 101, 711, 284, 442, 22045, 32, 2208, 32, 7345, 26, 101, 30, 10061, 1057, 112, 683, 203, 589, 617, 3310, 42, 81, 466, 26, 101, 711, 284, 415, 6937, 26, 101, 30, 596, 711, 291, 442, 309, 32, 4434, 440, 3310, 31, 42, 657, 284, 813, 44, 291, 442, 596, 26, 101, 27, 203, 589, 4450, 81, 5561, 2262, 284, 442, 629, 26, 1003, 32, 1003, 1157, 203, 589, 4450, 81, 17659, 26, 1322, 47, 42, 711, 284, 442, 35617, 2524, 2009, 466, 26, 3855, 32, 21378, 26, 34, 30, 225, 43, 490, 436, 595, 328, 2155, 26, 1322, 14829, 203, 589, 4450, 81, 38170, 26, 1322, 47, 42, 711, 284, 442, 35617, 2524, 2009, 466, 26, 3855, 32, 21378, 26, 34, 30, 225, 43, 490, 436, 595, 328, 2155, 26, 1322, 14829, 203, 823, 16812, 9117, 26, 1473, 711, 284, 1202, 280, 1665, 284, 9313, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 1202, 30, 9313, 711, 291, 630, 32, 678, 280, 1202, 291, 630, 32, 7241, 280, 9313, 203, 823, 16812, 1763, 26, 1473, 711, 284, 1202, 280, 1665, 284, 9313, 280, 1665, 284, 3309, 280, 1665, 284, 3309, 81, 22704, 280, 1665, 284, 48519, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 1202, 30, 9313, 711, 291, 630, 32, 678, 280, 1202, 291, 630, 32, 7241, 280, 9313, 284, 665, 739, 81, 4383, 26, 784, 30, 3309, 711, 291, 630, 32, 4383, 280, 3309, 291, 630, 32, 4383, 81, 22704, 280, 330, 1508, 25, 284, 665, 739, 81, 38170, 26, 784, 30, 48519, 47, 2521, 711, 291, 415, 48519, 438, 646, 1665, 44, 324, 630, 32, 38170, 280, 48519, 291, 813, 44, 324, 630, 32, 38170, 280, 4450, 81, 38170, 346, 284, 665, 622, 81, 4383, 81, 965, 26, 784, 711, 291, 415, 630, 32, 4383, 461, 630, 32, 38170, 44, 324, 8710, 280, 22045, 32, 2208, 32, 965, 2208, 26, 784, 32, 4383, 27, 324, 12841 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 4, 4, 4, 3, 4, 4, 4, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 3, 0, 3, 2, 2, 4, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 7, 7, 7, 7, 3, 3, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 5, 1, 1, 3, 7, 7, 7, 7, 7, 5, 8, 8, 8, 8, 8, 6, 6, 4, 0, 1, 1, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 6, 5, 5, 6, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 5, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 3, 3, 4, 4, 4, 6, 8, 9, 8, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 6, 5, 8, 8, 11, 10, 11, 10, 11, 10, 10, 11, 10, 6, 7, 7, 7, 9, 10, 9, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 6, 5, 8, 8, 11, 10, 11, 10, 11, 10, 10, 11, 10, 6, 7, 7, 7, 9, 10, 9, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 4, 4, 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, 2, 3, 2, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 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, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 6, 5, 5, 5, 9, 10, 8, 8, 5, 5, 6, 6, 6, 10, 11, 9, 9, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 7, 8, 5, 5, 5, 8, 8, 11, 12, 10, 11, 11, 10, 12, 11, 12, 10, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 7, 7, 7, 7, 0, 8, 8, 8, 8, 0, 9, 9, 9, 9, 0, 10, 10, 0, 0, 11, 11, 1, 2, 11, 11, 3, 2, 11, 11, 5, 2, 0, 12, 12, 0, 13, 13, 0, 14, 14, 1, 2, 0, 15, 15, 0, 16, 16, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 20, 20, 1, 2, 1, 2, 20, 20, 0, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 21, 21, 1, 1, 1, 1, 2, 0, 1, 1, 21, 21, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 22, 22, 2, 1, 2, 22, 22, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 2, 0, 23, 23, 1, 1, 1, 1, 2, 1, 2, 23, 23, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 0, 24, 24, 1, 1, 2, 24, 24, 0, 1, 0, 0, 2, 1, 0, 25, 25, 1, 1, 2, 0, 1, 2, 2, 25, 25, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 2, 2, 2, 1, 1, 1, 0, 26, 26, 1, 1, 2, 0, 1, 2, 2, 26, 26, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 2, 2, 2, 1, 1, 1, 0, 27, 27, 1, 2, 1, 2, 27, 27, 0, 0, 4, 4, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 28, 28, 1, 2, 1, 2, 28, 28, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 5, 1, 1, 1, 2, 2, 2, 2, 2, 5, 5, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 4, 4, 7, 1, 1, 2, 1, 2, 2, 3, 2, 2, 7, 7, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 4, 4, 0, 2, 0, 0, 0, 0, 1, 4, 4, 8, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 3, 3 ]
[ 465, 6436, 619, 2065, 203, 1070, 12643, 32, 8524, 1114, 5301, 1188, 1188, 81, 5301, 81, 9277, 203, 1070, 12643, 32, 1262, 32, 48507, 32, 2405, 1188, 2290, 81, 2282, 81, 681, 203, 1070, 12643, 32, 1262, 32, 19819, 1188, 308, 284, 45997, 8004, 30, 284, 11165, 81, 4243, 30, 203, 27, 203, 1070, 12643, 32, 1262, 32, 23692, 32, 15378, 32, 955, 1188, 35797, 1261, 203, 1070, 12643, 32, 1262, 32, 23692, 32, 15378, 32, 12010, 1188, 35797, 54, 681, 203, 823, 3772, 9794, 44, 284, 617, 6460, 81, 2076, 280, 313, 4445, 1755, 793, 322, 5608, 15378, 25, 22093, 623, 35797, 706, 3107, 284, 665, 1156, 1664, 3207, 784, 30, 706, 47, 2521, 711, 291, 630, 1114, 2544, 280, 706, 291, 630, 1114, 4635, 26, 605, 27, 284, 665, 617, 4635, 26, 784, 30, 706, 711, 291, 3636, 22210, 203, 50, 14388, 81, 4243, 26, 284, 35797, 1261, 30, 3037, 96, 3953, 392, 313, 18279, 392, 313, 4157, 81, 853, 392, 313, 419, 81, 2810, 3439, 5671, 347, 2433, 20, 203, 27, 203, 823, 35797, 9794, 26, 1761, 9794, 30, 45997, 8004, 711, 284, 665, 617, 4635, 26, 784, 30, 706, 711, 291, 415, 646, 6937, 26, 605, 32, 12010, 30, 35797, 54, 681, 711, 324, 3636, 29316, 26, 784, 1114, 6460, 81, 2076, 27, 284, 665, 617, 14388, 81, 2433, 81, 371, 26, 784, 30, 636, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 18623, 26, 784, 1114, 2544, 32, 955, 30, 636, 27, 284, 665, 617, 14388, 81, 1959, 26, 784, 30, 636, 30, 319, 1132, 30, 1115, 5321, 711, 291, 415, 636, 610, 313, 1070, 81, 331, 97, 563, 324, 442, 630, 32, 1070, 81, 331, 97, 2740, 1132, 30, 1115, 5321, 27, 291, 4348, 636, 610, 313, 452, 81, 331, 97, 563, 324, 442, 630, 32, 452, 81, 331, 97, 2740, 1132, 30, 1115, 5321, 27, 291, 813, 44, 324, 3636, 10091, 284, 477, 17614, 284, 665, 645, 81, 331, 97, 26, 6933, 30, 399, 30, 27276, 81, 1055, 47, 2700, 711, 291, 645, 12643, 1188, 20886, 291, 645, 12643, 32, 1262, 32, 23692, 32, 15378, 32, 36568, 81, 15378, 1188, 281, 604, 81, 452, 81, 15378, 81, 8442, 291, 1056, 280, 281, 604, 81, 452, 81, 15378, 81, 8442, 26, 51, 30, 27276, 81, 1055, 47, 19625, 81, 1055, 27, 291, 1056, 280, 20886, 26, 1267, 32, 955, 30, 1650, 47, 1267, 32, 1055, 30, 1933, 47, 2700, 27, 291, 442, 1056, 284, 665, 372, 81, 331, 97, 26, 784, 30, 2698, 81, 13756, 4310, 34, 28020, 2623, 81, 13756, 4310, 35, 28020, 3844, 81, 5919, 47, 2700, 711, 291, 645, 12643, 32, 1262, 32, 23692, 32, 15378, 32, 36568, 81, 15378, 1188, 22508, 81, 8442, 81, 452, 81, 331, 97, 291, 399, 30, 5760, 30, 6090, 280, 22508, 81, 8442, 81, 452, 81, 331, 97, 26, 324, 630, 1114, 2544, 30, 2698, 81, 13756, 30, 2623, 81, 13756, 30, 3844, 81, 5919, 47, 3323, 81, 5919, 291, 829, 291, 442, 399, 30, 5760, 30, 6090, 284, 665, 372, 81, 19625, 26, 784, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 1, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 0, 2, 4, 4, 4, 4, 4, 4, 5, 4, 4, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 4, 5, 7, 7, 4, 4, 1, 2, 2, 3, 3, 4, 4, 3, 3, 4, 3, 2, 2, 4, 5, 5, 6, 5, 5, 5, 4, 4, 6, 7, 9, 11, 10, 11, 9, 9, 10, 10, 9, 6, 6, 8, 10, 12, 11, 12, 12, 12, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 7, 5, 5, 7, 5, 4, 4, 6, 8, 11, 10, 11, 9, 10, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 7, 5, 5, 7, 5, 4, 4, 6, 7, 7, 9, 9, 9, 9, 9, 6, 6, 8, 10, 11, 11, 11, 11, 10, 12, 10, 10, 12, 10, 6, 6, 7, 8, 8, 10, 10, 10, 10, 10, 7, 7, 9, 11, 12, 12, 12, 12, 11, 13, 11, 11, 13, 11, 6, 6, 7, 7, 7, 9, 3, 3, 6, 4, 4, 5, 6, 6, 6, 6, 7, 6, 6, 6, 6, 8, 8, 7, 8, 6, 5, 5, 7, 7, 7, 6, 6, 7, 8, 9, 8, 9, 8, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 12, 12, 11, 12, 12, 12, 10, 6, 6, 8, 8, 10, 12, 11, 12, 10, 10, 11, 13, 12, 13, 10, 10, 11, 12, 10, 6, 6, 7, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 7, 7, 6, 8, 7, 5, 7, 7, 6, 8, 7, 5, 7, 7, 6, 7, 5, 4, 4, 6, 7, 8, 7, 8, 7, 8, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 11, 9, 9, 10, 10, 9, 9, 10, 10, 9, 9, 11, 11, 10, 11, 11, 11, 9, 9, 5, 5, 6, 7, 7, 7, 7, 3, 3, 4, 5, 5, 5, 6, 5 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 1, 8, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 1, 8, 5, 5, 0, 0, 0, 6, 6, 1, 6, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 2, 3, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 1, 1, 1, 3, 3, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 5, 1, 2, 1, 1, 7, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 3, 3, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 0, 4, 4, 1, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 1, 1, 0, 0, 0, 4, 4, 1, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 3, 0, 2, 2, 1, 1, 5, 2, 1, 4, 4, 4, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 1, 2, 2, 0, 0, 5, 1, 2, 2, 0, 0, 7, 2, 2, 4, 4, 0, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2 ]
[ 505, 13411, 505, 280, 3941, 606, 11033, 203, 465, 622, 2215, 203, 465, 622, 4617, 203, 465, 32023, 203, 465, 2322, 203, 465, 26355, 203, 465, 316, 203, 465, 7060, 203, 465, 5237, 203, 465, 1133, 203, 465, 7138, 203, 465, 27374, 203, 465, 5741, 203, 465, 5741, 32, 14458, 203, 465, 3995, 203, 1070, 6234, 1188, 3226, 349, 649, 426, 203, 1070, 328, 2465, 716, 32, 1199, 1217, 1188, 1420, 81, 2602, 30, 617, 1199, 81, 3615, 203, 1070, 328, 2465, 716, 32, 3560, 81, 2435, 81, 3483, 1188, 3468, 81, 22582, 81, 1141, 203, 1070, 328, 2465, 716, 32, 1163, 1188, 31848, 81, 9857, 30, 31848, 81, 10348, 3197, 30, 31848, 81, 3602, 3197, 30, 766, 284, 31848, 81, 52, 3057, 29156, 81, 17222, 81, 4975, 30, 31848, 81, 11779, 3197, 30, 31848, 81, 24819, 81, 14144, 81, 17945, 203, 1070, 328, 2465, 716, 32, 731, 1356, 1188, 3909, 81, 3893, 203, 1070, 328, 2465, 716, 32, 3560, 81, 2435, 81, 1163, 1188, 31848, 81, 14417, 81, 9036, 81, 48340, 81, 46922, 30, 766, 284, 31848, 81, 14417, 81, 40060, 9590, 203, 1070, 328, 2465, 716, 32, 1840, 496, 1188, 622, 81, 496, 81, 22583, 30, 622, 81, 1935, 203, 1070, 328, 2465, 716, 32, 12618, 2795, 81, 1163, 1188, 31848, 81, 52, 3057, 15147, 81, 5915, 81, 15147, 69, 30, 766, 284, 31848, 81, 52, 3057, 15147, 81, 5807, 81, 15147, 81, 24222, 30, 31848, 81, 52, 3057, 15147, 81, 28394, 4804, 15147, 69, 203, 1070, 328, 2465, 716, 32, 770, 2304, 1188, 3185, 81, 4689, 81, 3248, 203, 1070, 328, 2465, 716, 32, 7883, 2304, 1188, 15820, 81, 7883, 81, 626, 203, 1070, 328, 2465, 716, 32, 2200, 2304, 1188, 3240, 81, 1935, 203, 1070, 328, 2465, 716, 32, 12618, 5508, 1188, 21849, 5508, 81, 470, 81, 2035, 30, 766, 6035, 21849, 5508, 81, 371, 81, 2035, 203, 81, 15147, 81, 17341, 280, 301, 291, 330, 1648, 950, 2550, 291, 330, 2795, 81, 4048, 81, 4313, 81, 3359, 85, 950, 1665, 30, 291, 330, 2795, 81, 426, 950, 2322, 32, 983, 32, 15705, 26, 3731, 32, 6118, 77, 34, 5727, 291, 330, 2795, 81, 10265, 81, 426, 950, 2550, 291, 330, 2795, 81, 314, 950, 225, 34, 30, 291, 330, 496, 950, 2550, 291, 330, 10529, 950, 225, 43, 30, 291, 330, 101, 13369, 17694, 950, 2550, 291, 330, 4689, 950, 1133, 32, 20834, 4912, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 2113, 291, 330, 9786, 950, 225, 34, 30, 291, 330, 4689, 81, 3248, 950, 1665, 30, 291, 330, 3959, 950, 5518, 291, 330, 1526, 31, 2416, 950, 5518, 291, 330, 7508, 31, 314, 950, 2521, 30, 291, 330, 4048, 81, 3926, 81, 267, 81, 731, 950, 3177, 30, 291, 330, 8638, 81, 1003, 950, 3177, 30, 291, 330, 1935, 81, 8288, 81, 452, 950, 5518, 291, 320, 203, 81, 15979, 280, 2149, 203, 11892, 81, 5915, 81, 10826, 940, 21126, 81, 2576, 81, 9036, 81, 3567, 28661, 280, 2884, 12618, 4462, 392, 829, 203, 11892, 81, 15147, 81, 1296, 81, 3908, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 7, 8, 6, 7, 6, 9, 8, 9, 7, 8, 7, 3, 3, 6, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 4, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 6, 6, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 4, 3, 3, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 3, 3, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 1, 2, 0, 14, 14, 0, 15, 15, 15, 15, 0, 0, 0, 0, 16, 16, 0, 0, 1, 2, 2, 16, 16, 0, 0, 16, 16, 0, 0, 0, 0, 17, 17, 0, 0, 1, 2, 2, 2, 2, 2, 17, 17, 0, 0, 0, 0, 0, 18, 18, 0, 0, 1, 2, 18, 18, 0, 0, 18, 18, 0, 0, 0, 18, 18, 0, 0, 0, 18, 18, 9, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 18, 0, 0, 0, 18, 18, 0, 0, 0, 0, 0, 0, 0, 19, 19, 0, 0, 1, 2, 2, 19, 19, 0, 0, 0, 20, 20, 0, 0, 1, 2, 2, 2, 2, 2, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 20, 20, 5, 20, 0, 0, 0, 0, 0, 0, 21, 21, 0, 0, 1, 2, 2, 21, 21, 0, 0, 0, 0, 21, 21, 0, 0, 0, 22, 22, 0, 0, 1, 2, 2, 2, 2, 22, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 22, 5, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 23, 0, 0, 1, 2, 2, 23, 23, 0, 0, 0, 0, 0, 24, 24, 0, 0, 1, 2, 2, 24, 24, 0, 0, 0, 0, 0, 25, 25, 0, 0, 1, 2, 2, 25, 25, 0, 0, 0, 26, 26, 0, 0, 1, 2, 2, 26, 26, 0, 0, 0, 0, 0, 26, 26, 5, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 2, 5, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 7, 2, 2, 1, 1, 1, 2, 9, 2, 2, 2, 2, 1, 2, 11, 2, 2, 1, 2, 13, 2, 2, 2, 2, 1, 1, 1, 2, 15, 2, 2, 1, 2, 17, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 19, 2, 2, 2, 2, 1, 1, 1, 2, 21, 2, 2, 2, 1, 2, 23, 2, 2, 1, 1, 1, 2, 25, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 29, 2, 2, 2, 1, 1, 1, 2, 31, 2, 2, 2, 1, 1, 1, 1, 1, 2, 33, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 13625, 1188, 33953, 203, 1070, 1933, 1188, 28667, 203, 1070, 7138, 1188, 7138, 30, 30784, 203, 465, 2361, 203, 465, 5741, 203, 1070, 43008, 1188, 23133, 203, 1070, 2340, 1040, 32, 3922, 1188, 3185, 619, 343, 2208, 203, 1070, 18971, 1188, 15820, 30, 7778, 417, 203, 1070, 18971, 81, 725, 4164, 1188, 3678, 203, 1070, 18971, 81, 725, 4164, 32, 3378, 32, 28497, 1188, 30997, 203, 1070, 18971, 81, 11696, 1188, 13671, 81, 33170, 619, 617, 203, 1070, 3619, 46315, 32, 1580, 1188, 4354, 13273, 1890, 203, 1070, 3619, 46315, 32, 2304, 32, 45998, 4044, 1188, 2385, 203, 1070, 3619, 46315, 32, 2304, 32, 9211, 1188, 16241, 30, 17417, 30, 8287, 203, 1070, 3619, 46315, 32, 2304, 32, 45140, 1188, 8170, 14390, 203, 1070, 3619, 46315, 32, 2304, 32, 1526, 481, 19863, 1188, 308, 284, 7959, 30, 5692, 30, 14802, 10189, 46744, 30, 6401, 481, 19863, 30, 24300, 414, 30, 24300, 6911, 30, 203, 27, 203, 465, 5167, 203, 1070, 18792, 1188, 802, 81, 2516, 203, 465, 30902, 619, 4257, 203, 1070, 30902, 1188, 308, 284, 5069, 30, 7723, 30, 6666, 30, 34055, 953, 30, 4401, 30, 556, 3739, 892, 30, 3319, 30, 203, 27, 203, 1070, 30902, 32, 494, 1188, 1751, 612, 30, 12112, 203, 1070, 2599, 470, 1188, 3570, 30, 3082, 30, 1188, 81, 1040, 30, 3438, 30, 8745, 203, 1070, 2599, 470, 32, 32282, 32, 1439, 32, 3378, 1188, 3772, 2137, 30, 3772, 45955, 30, 3772, 9141, 203, 1070, 2599, 470, 32, 3378, 32, 8774, 1188, 25547, 13976, 6814, 30, 6645, 1394, 30, 739, 81, 13163, 203, 1070, 2599, 470, 32, 2304, 1188, 308, 284, 9694, 4439, 30, 475, 6980, 63, 81, 25138, 30, 14011, 265, 30, 20762, 22610, 984, 30, 203, 27, 203, 3561, 3729, 81, 19508, 280, 3570, 32, 371, 463, 3561, 3729, 81, 19508, 683, 203, 589, 617, 5140, 81, 4519, 81, 979, 26, 25712, 711, 284, 442, 36045, 32, 5323, 81, 4519, 346, 203, 823, 23783, 3160, 31056, 26, 3160, 481, 19863, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 1600, 81, 4243, 30, 667, 711, 291, 630, 32, 1526, 81, 481, 19863, 280, 301, 324, 330, 681, 950, 330, 4259, 370, 324, 330, 1495, 4109, 950, 1600, 81, 4243, 30, 324, 330, 426, 950, 636, 30, 324, 330, 1126, 950, 667, 30, 291, 320, 291, 630, 32, 426, 280, 636, 203, 823, 6028, 3160, 31056, 26, 3160, 481, 19863, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 2364, 81, 481, 19863, 711, 291, 630, 32, 426, 280, 636, 291, 630, 32, 1526, 81, 481, 19863, 280, 2364, 81, 481, 19863, 203, 823, 17444, 1890, 4607, 26, 1243, 30, 25547, 13976, 6814, 711, 284, 1156, 34426, 505, 280, 330, 18806, 25, 284, 827, 280, 330, 46315, 25, 284, 804, 280, 7723, 26, 3061, 30, 7458, 81, 678, 47, 1815, 27, 284, 9541, 81, 426, 280, 7723, 26, 652, 26, 36, 39, 34, 471, 5799, 47, 1815, 27, 284, 4904, 81, 426, 280, 7723, 26, 652, 26, 36, 39, 34, 471, 5799, 47, 1815, 27, 284, 5099, 9693, 81, 2035, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 6, 7, 6, 6, 8, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 8, 8, 9, 9, 9, 8, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 8, 8, 9, 9, 9, 8, 6, 7, 8, 6, 2, 2, 5, 5, 5, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 3, 3, 2, 0, 7, 7, 7, 7, 7, 7, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 9, 9, 0, 0, 0, 1, 2, 1, 4, 9, 9, 0, 10, 10, 0, 0, 10, 10, 0, 0, 3, 3, 0, 11, 11, 0, 1, 2, 11, 11, 0, 0, 0, 12, 12, 0, 1, 2, 1, 4, 4, 12, 12, 0, 13, 13, 0, 1, 2, 1, 4, 13, 13, 13, 13, 13, 13, 0, 14, 14, 0, 1, 2, 1, 4, 14, 14, 0, 0, 15, 15, 0, 1, 2, 1, 4, 4, 4, 15, 15, 15, 15, 15, 15, 15, 15, 0, 0, 15, 15, 0, 0, 15, 15, 0, 15, 15, 0, 15, 15, 15, 0, 16, 16, 0, 17, 17, 17, 17, 0, 0, 0, 18, 18, 1, 1, 0, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 0, 19, 19, 19, 19, 0, 19, 19, 19, 19, 19, 19, 0, 20, 20, 1, 2, 20, 20, 0, 20, 20, 0, 21, 21, 0, 21, 21, 21, 21, 21, 21, 0, 0, 21, 21, 21, 21, 0, 22, 22, 0, 1, 2, 1, 4, 1, 6, 22, 22, 0, 22, 22, 0, 22, 22, 0, 0, 23, 23, 0, 1, 2, 1, 4, 23, 23, 0, 0, 23, 23, 0, 23, 23, 0, 0, 0, 24, 24, 0, 1, 2, 24, 24, 24, 24, 0, 24, 24, 0, 0, 0, 0, 24, 24, 0, 24, 24, 0, 0, 24, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 26, 26, 1, 1, 1, 1, 1, 2, 1, 2, 26, 26, 0, 0, 2, 2, 2, 1, 0, 27, 27, 1, 1, 2, 1, 1, 1, 2, 27, 27, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 1, 2, 7, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 28, 28, 1, 1, 2, 1, 1, 1, 2, 28, 28, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 29, 29, 1, 1, 2, 1, 2, 2, 3, 3, 2, 29, 29, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 31001, 2847, 203, 1070, 7744, 1188, 17648, 203, 1070, 24272, 325, 3044, 32, 4738, 1188, 390, 4043, 325, 3044, 1290, 203, 1070, 1359, 32, 5983, 1188, 706, 81, 983, 30, 894, 81, 470, 81, 314, 30, 24272, 325, 3044, 81, 1237, 81, 678, 30, 24272, 325, 3044, 81, 1160, 81, 426, 203, 589, 41178, 12837, 81, 19923, 26, 695, 30, 16105, 711, 284, 909, 10439, 225, 35, 34, 1115, 308, 17980, 474, 225, 36, 27, 284, 442, 8930, 35, 44, 12604, 34, 111, 88, 16161, 2473, 1643, 26, 17980, 30, 17648, 26, 695, 27, 517, 225, 35, 34, 1115, 16105, 27, 203, 589, 622, 81, 19950, 81, 30900, 26, 1160, 30, 1778, 81, 983, 711, 284, 1459, 313, 11415, 16861, 436, 1778, 44, 904, 101, 20, 904, 1778, 81, 983, 284, 3536, 81, 893, 81, 983, 280, 5461, 101, 9708, 101, 20, 904, 308, 605, 81, 983, 30, 1778, 81, 983, 27, 284, 16861, 81, 30900, 280, 225, 34, 32, 34, 284, 1056, 280, 1542, 32, 9356, 81, 1170, 81, 3607, 26, 2620, 81, 893, 81, 983, 27, 284, 436, 337, 328, 1056, 710, 10931, 12132, 291, 10243, 81, 4295, 280, 337, 710, 605, 4902, 22067, 785, 291, 436, 10243, 81, 1267, 328, 10243, 81, 4295, 44, 324, 1459, 10243, 81, 1267, 710, 853, 785, 324, 16861, 81, 30900, 280, 1897, 26, 12521, 81, 1267, 710, 853, 3490, 324, 1626, 284, 442, 16861, 81, 30900, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1123, 280, 390, 4043, 325, 3044, 1290, 26, 1237, 81, 678, 47, 573, 282, 325, 3044, 81, 1237, 81, 678, 27, 284, 44735, 280, 1123, 32, 3378, 32, 371, 26, 573, 282, 325, 3044, 81, 1160, 81, 426, 27, 284, 1459, 41178, 12837, 81, 19923, 26, 371, 81, 19950, 81, 30900, 26, 27452, 30, 313, 2242, 33, 858, 23, 101, 9708, 101, 20, 904, 308, 858, 81, 470, 81, 314, 30, 313, 4547, 61, 81, 35, 37, 34, 37, 32, 3072, 12941, 225, 36, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 5, 7, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 5, 5, 8, 7, 7, 8, 6, 2, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 6, 5, 5, 8, 9, 8, 6, 6, 8, 8, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 5, 5, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 5, 5, 5, 2, 2, 4, 4, 6, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 3, 3, 3, 4, 6, 6, 3, 3, 7, 7, 6, 6, 8, 10, 10, 9, 9, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 7, 9, 9, 8, 10, 10, 6, 6, 9, 9, 8, 8, 10, 12, 12, 12, 11, 13, 13, 6, 6, 2, 2, 3, 4, 4, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 2, 2, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 3, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 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 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 5, 5, 4, 4, 5, 1, 1, 0, 8, 8, 0, 0, 1, 1, 1, 1, 8, 8, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 11412, 203, 1070, 13625, 1188, 31466, 203, 1070, 13625, 1188, 636, 41766, 203, 823, 447, 618, 26, 1473, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 533, 96, 317, 30, 636, 30, 11263, 47, 37, 30, 1963, 347, 4894, 10280, 357, 202, 784, 32, 841, 317, 280, 533, 96, 317, 357, 202, 784, 32, 426, 280, 636, 32, 3227, 463, 21684, 31248, 3227, 440, 13042, 7746, 357, 202, 784, 32, 6557, 280, 11263, 357, 202, 784, 32, 1489, 280, 1963, 357, 202, 784, 32, 687, 280, 34873, 2524, 26, 106, 436, 816, 328, 630, 32, 841, 317, 415, 816, 32, 297, 4893, 1157, 203, 202, 589, 1156, 2888, 3207, 784, 711, 357, 202, 601, 3677, 26, 784, 32, 841, 317, 27, 203, 202, 589, 1156, 4923, 3207, 784, 30, 1604, 711, 357, 202, 601, 13593, 26, 784, 32, 841, 317, 30, 1604, 27, 203, 2050, 732, 280, 5436, 1162, 106, 32, 841, 317, 30, 816, 27, 436, 816, 328, 308, 203, 202, 66, 618, 440, 609, 1666, 1353, 35493, 392, 313, 609, 1666, 1353, 392, 225, 34, 30, 313, 47391, 873, 5466, 2113, 203, 202, 66, 618, 440, 13746, 515, 35493, 392, 313, 13746, 515, 392, 225, 34, 30, 313, 5704, 39223, 35, 2113, 203, 202, 66, 618, 440, 3761, 690, 279, 33104, 13853, 1966, 392, 313, 6508, 33104, 392, 225, 34, 30, 313, 18535, 2113, 203, 202, 66, 618, 440, 15626, 701, 4418, 942, 35493, 308, 15626, 2027, 5715, 313, 15626, 2027, 392, 225, 35, 30, 313, 28550, 2113, 203, 202, 66, 618, 440, 14863, 35493, 392, 313, 14863, 392, 225, 35, 30, 313, 6555, 2113, 203, 202, 66, 618, 440, 52, 1184, 1708, 24106, 35493, 392, 313, 52, 13407, 2113, 203, 202, 66, 618, 440, 46345, 2531, 35493, 4034, 590, 13678, 299, 24680, 1182, 498, 655, 4798, 22088, 313, 46345, 2531, 2113, 203, 202, 66, 618, 440, 23537, 33104, 13853, 1966, 392, 313, 3614, 33104, 2113, 203, 202, 66, 618, 440, 28522, 6437, 16545, 427, 35493, 392, 313, 71, 2418, 2113, 203, 202, 66, 618, 440, 16745, 16545, 427, 461, 25099, 427, 5612, 279, 697, 392, 313, 70, 2045, 53, 2113, 203, 202, 66, 618, 440, 38086, 19256, 5245, 35493, 392, 313, 64, 18702, 2113, 203, 490, 203, 9744, 81, 23521, 280, 447, 618, 440, 46057, 392, 313, 46057, 657, 203, 589, 622, 81, 9744, 26, 841, 317, 81, 426, 30, 2181, 711, 203, 202, 1270, 44, 357, 202, 9744, 280, 35443, 77, 841, 317, 81, 426, 79, 203, 202, 7343, 25085, 44, 357, 202, 325, 533, 96, 317, 81, 426, 610, 313, 383, 9680, 563, 355, 202, 9744, 280, 447, 618, 440, 383, 9680, 392, 313, 383, 9680, 392, 11263, 47, 34, 415, 2181, 32, 29107, 813, 225, 35, 34, 34, 27, 357, 202, 1824, 44, 355, 202, 9744, 280, 447, 618, 26, 841, 317, 81, 426, 30, 533, 96, 317, 81, 426, 27, 203, 202, 325, 15270, 32, 6557, 848, 225, 39, 429, 2181, 32, 5828, 81, 4884, 44, 357, 202, 9744, 280, 15270, 81, 23521, 203, 202, 601, 15270, 203, 589, 2179, 81, 426, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 7, 7, 3, 3, 8, 7, 8, 8, 6, 6, 7, 7, 4, 4, 8, 7, 8, 6, 6, 10, 11, 10, 12, 10, 9, 8, 10, 8, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 9, 8, 9, 8, 9, 9, 9, 10, 11, 11, 8, 9, 11, 12, 12, 11, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 7, 9, 8, 9, 9, 7, 2, 2, 3, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 7, 9, 8, 9, 9, 7, 7, 7, 0, 3, 3, 2, 2, 4, 7, 6, 7, 7, 5, 5, 5, 4, 5, 5, 5, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 9, 8, 8, 10, 10, 10, 10, 6, 6, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 8, 9, 8, 8, 10, 10, 10, 10, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 8, 9, 8, 8, 10, 10, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 8, 9, 8, 8, 10, 10, 6, 6, 8, 8, 8, 10, 10, 10, 8, 10, 10, 8, 9, 8, 8, 10, 10, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 8, 10, 10, 10, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 6, 6, 4, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 1, 1, 3, 3, 3, 3, 7, 6, 6, 7, 8, 8, 8, 8, 7, 3, 3, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 7, 7, 9, 9, 9, 6, 6, 10, 9, 9, 11, 11, 13, 13, 13, 11, 13, 13, 13, 11, 12, 14, 13, 13, 14, 15, 13, 13, 14, 14, 14, 11, 6, 6, 7, 7, 7, 7, 11, 10, 10, 12, 12, 13, 13, 13, 13, 12, 12, 13, 13, 13, 13, 12, 2, 2, 3, 3, 5, 6, 4, 4, 6, 5, 5, 6, 7, 7, 7, 3, 3, 3, 7, 6, 6, 7, 7, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 2, 2, 2, 9, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 3, 2, 2, 1, 3, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 6, 6, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 0, 2, 2, 2, 2, 2, 2, 4, 4, 4, 1, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 4, 4, 2, 2, 0, 7, 7, 1, 1, 2 ]
[ 465, 1359, 203, 465, 5167, 203, 1070, 5167, 81, 10772, 1356, 1188, 16812, 35, 203, 1070, 1695, 40, 38, 1188, 323, 40, 38, 4434, 203, 589, 622, 81, 3560, 81, 1956, 2262, 284, 2404, 280, 1359, 32, 7625, 81, 725, 81, 678, 474, 25487, 474, 1359, 32, 7625, 81, 725, 81, 7241, 284, 420, 280, 5053, 1777, 31, 620, 950, 330, 3164, 33, 106, 31, 1499, 31, 599, 31, 27151, 45, 15245, 47, 6261, 31, 42, 370, 276, 330, 8466, 950, 323, 25, 7099, 330, 474, 323, 40, 38, 4434, 26, 3651, 26, 1956, 30, 330, 3310, 42, 2847, 111, 284, 1459, 346, 284, 540, 280, 5167, 32, 1526, 463, 641, 555, 1237, 32, 7625, 32, 508, 33, 10772, 36, 33, 1956, 370, 2855, 706, 47, 84, 25, 21115, 81, 681, 47, 1580, 81, 12623, 370, 4826, 47, 90, 27, 284, 1201, 540, 32, 1260, 31510, 1956, 81, 681, 785, 610, 330, 39624, 25, 284, 442, 540, 32, 1260, 31510, 3560, 81, 1956, 785, 203, 589, 622, 81, 5323, 81, 21334, 26, 1956, 711, 284, 3377, 280, 5053, 4458, 81, 426, 950, 330, 8617, 7979, 4446, 370, 1750, 330, 998, 950, 225, 35, 30, 1750, 330, 5464, 81, 496, 950, 2933, 111, 284, 4826, 280, 5053, 8466, 950, 330, 16480, 330, 474, 2404, 111, 284, 540, 280, 5167, 32, 371, 463, 641, 555, 1237, 32, 7625, 32, 508, 33, 35, 32, 35, 33, 27655, 33, 496, 81, 16471, 32, 1260, 370, 3486, 2803, 47, 5138, 30, 4826, 47, 5078, 27, 284, 442, 540, 32, 1260, 26, 8644, 1057, 3310, 42, 11968, 34, 5795, 878, 785, 203, 589, 745, 81, 22902, 26, 21334, 30, 595, 47, 34, 711, 284, 595, 1454, 225, 35, 284, 415, 595, 848, 1359, 32, 1945, 81, 3248, 44, 291, 442, 26756, 284, 17126, 81, 5138, 280, 5053, 99, 950, 26756, 30, 3486, 330, 1643, 950, 330, 878, 370, 3486, 330, 1977, 950, 330, 7954, 370, 3486, 330, 1855, 950, 330, 272, 370, 3486, 330, 678, 950, 1359, 32, 2175, 81, 678, 111, 284, 17126, 81, 100, 280, 5167, 32, 371, 463, 641, 555, 1499, 32, 12717, 32, 508, 33, 4189, 33, 7393, 33, 104, 36, 370, 715, 2803, 47, 7954, 81, 5138, 27, 284, 17126, 81, 1267, 280, 17126, 81, 100, 32, 1260, 31510, 605, 4902, 22902, 8150, 34, 5795, 32895, 1031, 785, 284, 931, 81, 5138, 280, 5053, 99, 950, 17126, 81, 1267, 30, 3486, 330, 1643, 950, 330, 878, 370, 3486, 330, 1977, 950, 330, 272, 370, 3486, 330, 1855, 950, 330, 7954, 370, 3486, 330, 678, 950, 1359, 32, 2175, 81, 678, 111, 284, 931, 81, 100, 280, 5167, 32, 371, 463, 641, 555, 1499, 32, 12717, 32, 508, 33, 4189, 33, 7393, 33, 104, 36, 370, 715, 2803, 47, 272, 81, 5138, 27, 284, 931, 81, 1267, 280, 931, 81, 100, 32, 1260, 31510, 605, 4902, 22902, 8150, 34, 5795, 32895, 1031, 785, 284, 1459, 463, 12679, 588, 2537, 438, 44, 19553, 1643, 26, 91, 30, 931, 81, 1267, 490, 284, 442, 745, 81, 22902, 26, 272, 81, 1267, 30, 595, 27, 415, 26756 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 5, 5, 6, 7, 7, 7, 7, 7, 2, 2, 4, 4, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 9, 9, 9, 7, 7, 9, 9, 9, 9, 11, 11, 12, 11, 11, 13, 13, 13, 5, 2, 2, 5, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 8, 6, 2, 2, 3, 7, 8, 7, 7, 7, 7, 7, 4, 4, 6, 6, 2, 2, 3, 6, 7, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 8, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 6, 7, 5, 5, 5, 8, 8, 8, 8, 6, 5, 2, 2, 4, 4, 8, 8, 6, 9, 9, 7, 7, 5, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 3, 7, 8, 7, 9, 8, 10, 10, 10, 6, 5, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 5, 2, 2, 3, 4, 4, 5, 6, 6, 6, 3, 3, 3, 5, 2, 2, 5, 5, 4, 4, 8, 8, 6, 5, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 7, 8, 8, 8, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 11, 11, 10, 11, 10, 10, 10, 9, 9, 7, 6, 7, 7, 7, 2, 2, 5, 5, 4, 4, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 7, 8, 8, 8, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 11, 11, 10, 11, 10, 10, 10, 9, 9, 7, 6, 7, 7, 7, 2, 2, 5, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 7, 8, 8, 7, 2, 2, 3, 6, 6, 6, 7, 7, 7, 6, 6, 6, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 5, 0, 2, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 2, 5, 2, 4, 4, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 3, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 6, 6, 1, 1, 2, 1, 2, 2, 3, 2, 2, 6, 6, 0, 0, 2, 4, 4, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 4, 4, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 2, 7, 1, 2, 2, 2, 1, 2, 9, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 2, 7, 1, 2, 2, 2, 1, 2, 9, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 9, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 18971, 1188, 34705, 30, 2908, 81, 2387, 30, 1550, 81, 725, 30, 485, 203, 1070, 18971, 1188, 1326, 30, 1930, 81, 1986, 30, 5668, 30, 14011, 30, 13313, 203, 1070, 18971, 81, 11696, 1188, 40946, 203, 1070, 40046, 17621, 81, 12711, 1188, 1123, 30, 3796, 203, 1070, 40046, 17621, 81, 12711, 1188, 4942, 619, 281, 203, 1070, 40046, 17621, 81, 12711, 32, 6286, 1188, 5218, 203, 1070, 40046, 17621, 81, 8820, 1188, 7791, 7995, 203, 465, 5167, 203, 465, 5741, 203, 465, 7138, 203, 20237, 280, 34705, 463, 20237, 370, 1156, 426, 7642, 1984, 81, 4254, 1057, 14617, 4189, 22639, 203, 20237, 81, 4351, 280, 1123, 32, 1163, 32, 371, 440, 8439, 12908, 81, 33118, 392, 7746, 203, 50, 20237, 32, 4351, 3247, 25, 474, 25060, 81, 4351, 27, 203, 589, 1650, 2262, 284, 5218, 32, 9237, 346, 284, 442, 2908, 81, 2387, 26, 291, 330, 20237, 33, 1055, 32, 916, 370, 291, 1795, 47, 89, 32, 1163, 710, 8439, 12908, 81, 6191, 2188, 284, 829, 203, 50, 20237, 32, 4351, 3247, 3615, 683, 203, 589, 6207, 2262, 284, 1984, 280, 1326, 32, 1132, 32, 371, 463, 965, 370, 3056, 272, 33, 40180, 683, 284, 1048, 280, 1326, 32, 1132, 32, 371, 463, 731, 370, 9142, 284, 415, 1048, 44, 291, 14011, 26, 731, 30, 313, 731, 657, 284, 442, 2908, 81, 2387, 26, 291, 330, 20237, 33, 3615, 32, 916, 370, 291, 1795, 47, 89, 32, 1163, 710, 8439, 12908, 81, 6191, 2188, 291, 5668, 47, 965, 284, 829, 203, 50, 20237, 32, 4351, 3247, 3615, 81, 1357, 370, 4438, 11414, 3705, 3490, 203, 589, 6207, 81, 1357, 2262, 284, 1984, 280, 1550, 81, 725, 32, 1163, 710, 16758, 81, 9036, 81, 7789, 785, 474, 2430, 1237, 33, 3615, 20, 284, 540, 280, 5167, 32, 1526, 26, 965, 30, 2361, 47, 1357, 32, 1260, 27, 284, 442, 308, 100, 32, 878, 30, 540, 32, 1517, 81, 687, 30, 540, 32, 5078, 32, 3028, 1157, 203, 50, 20237, 32, 4351, 3247, 12646, 683, 203, 589, 20641, 2262, 284, 1984, 280, 1326, 32, 1132, 32, 371, 463, 965, 370, 33774, 284, 1789, 280, 1930, 81, 1986, 26, 7344, 26, 965, 490, 284, 1789, 32, 470, 81, 9534, 26, 291, 1550, 81, 725, 32, 1163, 1365, 21387, 81, 31784, 81, 2474, 3439, 291, 786, 20706, 291, 23192, 47, 34, 284, 829, 284, 485, 32, 6263, 280, 2149, 284, 442, 1789, 203, 50, 20237, 32, 4351, 3247, 3524, 81, 3550, 370, 4438, 11414, 2788, 370, 330, 3705, 3490, 203, 50, 2393, 32, 2116, 1125, 2740, 725, 32, 1163, 710, 9036, 5695, 371, 463, 3550, 370, 20463, 26500, 7620, 2188, 2107, 785, 5259, 203, 589, 3497, 81, 3550, 2262, 284, 415, 1326, 32, 1959, 610, 330, 2788, 950, 291, 1550, 81, 725, 32, 4073, 32, 5691, 440, 2788, 3823, 657, 291, 442, 2908, 81, 2387, 26, 324, 330, 20237, 33, 3524, 81, 3550, 32, 916, 370, 324, 1795, 47, 89, 32, 1163, 710, 1713, 1405, 64, 12631, 81, 6191, 2188, 324, 8209, 47, 85, 32, 1237, 3247, 26794, 81, 9892, 683, 291, 829, 284, 4348 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 6, 6, 4, 5, 5, 4, 6, 6, 5, 7, 7, 7, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 4, 0, 2, 5, 4, 5, 4, 7, 5, 5, 6, 6, 4, 1, 2, 2, 3, 2, 2, 6, 7, 6, 3, 3, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 7, 10, 9, 10, 8, 10, 10, 10, 10, 10, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 1, 2, 2, 3, 2, 2, 5, 5, 8, 9, 7, 8, 7, 9, 9, 7, 9, 9, 9, 9, 3, 3, 5, 5, 8, 9, 7, 8, 7, 9, 9, 7, 3, 3, 4, 4, 4, 4, 8, 9, 8, 8, 10, 10, 3, 3, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 6, 6, 7, 10, 9, 10, 8, 10, 10, 10, 10, 10, 6, 6, 7, 8, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 4, 5, 8, 8, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 9, 9, 8, 9, 7, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 3, 3, 5, 5, 7, 8, 7, 8, 7, 7, 8, 10, 9, 10, 7, 3, 3, 4, 7, 6, 7, 5, 5, 6, 7, 7, 7, 5, 5, 8, 9, 7, 8, 7, 0, 2, 5, 4, 5, 4, 6, 6, 1, 2, 2, 3, 2, 2, 5, 5, 8, 9, 7, 8, 7, 9, 9, 7, 3, 3, 5, 5, 7, 7, 7, 9, 9, 10, 9, 3, 3, 6, 7, 7, 7, 6, 6, 6, 9, 9, 8, 9, 7, 9, 9, 9, 9, 9, 9, 6, 6, 7, 6, 6, 7, 8, 6, 6, 3, 3, 6, 7, 5, 5, 3, 3, 4, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 4, 5, 8, 8, 6, 8, 8, 1, 2, 5, 4, 5, 5, 4, 10, 9, 10, 8, 10, 10, 8, 7, 9, 9, 7, 11, 11, 11, 8, 11, 8, 1, 2, 2, 3, 3, 3, 2, 2, 4, 6, 7, 5, 5, 7, 7, 4, 4, 10, 10, 9, 10, 8, 9, 8, 10, 10, 10, 5, 5, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 12, 11, 12, 10, 12, 12, 12, 12, 12, 12, 12, 8, 8, 9, 12, 11, 12, 11, 13, 13, 13, 13, 8, 8, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 3, 3, 0, 5, 5, 0, 0, 0, 1, 2, 5, 5, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 1, 0, 0, 5, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 12, 1, 1, 2, 1, 1, 0, 2, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 13, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 4, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 14, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 2, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 15, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 5, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 2, 1, 2, 16, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 3, 16, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0 ]
[ 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 465, 343, 4849, 203, 589, 4230, 26, 83, 30, 323, 30, 35012, 47, 35, 87, 31, 42, 30, 12190, 362, 47, 35, 87, 31, 39, 711, 284, 442, 2065, 32, 3596, 26, 83, 429, 323, 27, 333, 35012, 474, 12190, 362, 319, 323, 203, 589, 3960, 2245, 26, 893, 30, 3327, 47, 2521, 711, 284, 3327, 280, 5743, 32, 89, 1173, 346, 415, 3327, 438, 1665, 813, 3327, 284, 3327, 32, 23026, 26, 893, 30, 354, 887, 6593, 35, 30, 48481, 47, 35, 30, 26685, 1057, 8387, 370, 23334, 47, 2521, 27, 203, 589, 1015, 81, 452, 81, 893, 26, 893, 30, 5216, 711, 284, 436, 816, 30, 533, 30, 309, 30, 617, 328, 5216, 44, 291, 1778, 77, 107, 30, 816, 79, 1454, 225, 35, 415, 309, 813, 429, 35, 203, 589, 619, 81, 893, 26, 5057, 711, 284, 1778, 280, 2065, 32, 9880, 1162, 35, 36, 42, 30, 225, 35, 36, 42, 471, 9710, 47, 1808, 27, 284, 1015, 81, 452, 81, 893, 26, 893, 30, 5216, 27, 284, 442, 1778, 203, 3607, 280, 330, 86, 4849, 31, 11653, 31, 35, 34, 874, 32, 49085, 25, 203, 5057, 280, 343, 4849, 32, 944, 26, 3607, 30, 8793, 81, 1497, 47, 1815, 27, 203, 836, 37062, 280, 2065, 32, 5665, 26, 2356, 32, 4903, 26, 2356, 32, 5665, 26, 5057, 710, 102, 785, 2610, 203, 862, 2065, 32, 35502, 26, 836, 37062, 30, 225, 34, 32, 34, 35, 27, 203, 6073, 32, 7630, 26, 35, 27, 203, 6073, 32, 25371, 346, 203, 5571, 280, 428, 34, 32, 36, 30, 225, 34, 32, 37, 30, 225, 34, 32, 38, 30, 225, 34, 32, 39, 30, 225, 34, 32, 40, 30, 225, 34, 32, 41, 79, 203, 979, 595, 328, 2155, 26, 40, 711, 284, 5743, 32, 23541, 26, 36, 30, 225, 37, 30, 595, 29, 35, 27, 284, 3960, 2245, 26, 302, 81, 893, 26, 5057, 77, 2679, 26, 5057, 710, 102, 2188, 6496, 77, 91, 1130, 5259, 284, 5743, 32, 1311, 440, 102, 280, 904, 34, 32, 37, 88, 20, 904, 6496, 77, 91, 1130, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 4, 4, 4, 4, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 6, 7, 6, 8, 7, 7, 6, 4, 4, 5, 5, 7, 6, 6, 0, 1, 1, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 7, 8, 8, 7, 5, 5, 6, 6, 5, 5, 2, 2, 5, 6, 5, 6, 5, 5, 7, 6, 8, 5, 5, 6, 7, 5, 5, 6, 8, 8, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 7, 8, 7, 7, 7, 6, 6, 8, 7, 7, 7, 7, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 7, 7, 8, 8, 8, 7, 6, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 6, 5, 5, 5, 2, 2, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 5, 4, 5, 4, 5, 4, 4, 6, 6, 5, 6, 4, 0, 3, 3, 2, 2, 4, 5, 4, 7, 6, 7, 6, 9, 8, 9, 8, 10, 9, 11, 11, 8, 0, 1, 1, 3, 4, 3, 4, 4, 3, 3, 4, 4, 4, 4, 3, 0, 4, 3, 4, 3, 4, 3, 0, 4, 3, 4, 3, 0, 3, 2, 2, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 0, 1, 1, 1, 1, 3, 4, 3, 1, 1, 5, 6, 5, 6, 5, 5, 6, 5, 5, 6, 7, 5, 2, 2, 5, 5, 7, 7, 7, 7, 9, 8, 10, 10, 12, 11, 13, 13, 10, 11, 12, 11, 8, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 7, 0, 4, 3, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 3, 3, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 0, 7, 2, 2, 2, 2, 2, 3, 3, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 0, 3, 1, 1, 1, 5, 2, 1, 1, 7, 1, 2, 1, 9, 2, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 10, 10, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 2, 7, 7, 7, 2, 2, 9, 9, 9, 2, 2, 11, 11, 11, 2, 0, 14, 14, 14, 14, 1, 1, 1, 14, 14, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 2, 1, 5, 5, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 3, 2, 3, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 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 ]
[ 1070, 30902, 1188, 319, 203, 1070, 22646, 1188, 319, 203, 1070, 22646, 32, 2342, 470, 1188, 5365, 203, 1001, 81, 2859, 280, 11985, 750, 346, 203, 1526, 81, 2859, 280, 11985, 750, 346, 203, 8246, 280, 5548, 463, 8246, 370, 1406, 81, 2859, 30, 284, 7723, 463, 314, 370, 14035, 30, 7458, 81, 678, 47, 1815, 30, 12607, 47, 2700, 471, 284, 7723, 463, 9786, 370, 14035, 30, 12607, 47, 2700, 471, 284, 7723, 463, 496, 81, 314, 370, 14035, 471, 284, 7723, 463, 2795, 370, 14057, 26, 1322, 47, 35, 38, 34, 3662, 203, 27, 203, 8246, 280, 5548, 463, 8246, 370, 2364, 81, 2859, 30, 284, 7723, 463, 314, 370, 4401, 30, 7458, 81, 678, 47, 1815, 30, 12607, 47, 2700, 471, 284, 7723, 463, 2310, 370, 892, 26, 1322, 47, 35, 38, 34, 3662, 284, 7723, 463, 9786, 370, 4401, 471, 284, 7723, 463, 496, 81, 314, 370, 4401, 471, 203, 27, 203, 589, 10750, 26, 20119, 81, 3483, 711, 284, 1406, 81, 2859, 32, 2539, 280, 22646, 81, 3483, 284, 2364, 81, 2859, 32, 2539, 280, 22646, 81, 3483, 284, 1406, 81, 2859, 32, 11278, 710, 8246, 5695, 6057, 710, 2795, 5695, 3798, 346, 284, 2364, 81, 2859, 32, 11278, 710, 8246, 5695, 6057, 710, 2310, 5695, 1297, 346, 203, 589, 2835, 4944, 26, 20119, 81, 3483, 711, 284, 1406, 81, 2859, 32, 2539, 280, 22646, 81, 3483, 284, 2364, 81, 2859, 32, 2539, 280, 22646, 81, 3483, 284, 1406, 81, 2859, 32, 11278, 710, 8246, 5695, 6057, 710, 2795, 5695, 1297, 346, 284, 2364, 81, 2859, 32, 11278, 710, 8246, 5695, 6057, 710, 2310, 5695, 3798, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 6, 6, 4, 5, 5, 4, 4, 4, 6, 8, 8, 6, 6, 6, 8, 8, 7, 8, 6, 6, 7, 8, 6, 4, 4, 6, 8, 8, 6, 6, 6, 7, 8, 6, 4, 4, 6, 8, 8, 8, 8, 6, 6, 4, 4, 6, 8, 8, 6, 8, 10, 9, 10, 10, 10, 8, 4, 4, 0, 3, 2, 2, 4, 6, 6, 4, 5, 5, 4, 4, 4, 6, 8, 8, 6, 6, 6, 8, 8, 7, 8, 6, 6, 7, 8, 6, 4, 4, 6, 8, 8, 6, 8, 10, 9, 10, 10, 10, 8, 4, 4, 6, 8, 8, 6, 6, 4, 4, 6, 8, 8, 8, 8, 6, 6, 4, 4, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 6, 6, 5, 6, 4, 4, 5, 5, 2, 2, 6, 6, 5, 6, 4, 4, 5, 5, 2, 2, 10, 10, 9, 10, 8, 10, 10, 8, 6, 8, 8, 6, 5, 2, 2, 10, 10, 9, 10, 8, 10, 10, 8, 6, 8, 8, 6, 5, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 6, 6, 5, 6, 4, 4, 5, 5, 2, 2, 6, 6, 5, 6, 4, 4, 5, 5, 2, 2, 10, 10, 9, 10, 8, 10, 10, 8, 6, 8, 8, 6, 5, 2, 2, 10, 10, 9, 10, 8, 10, 10, 8, 6, 8, 8, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 7, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 7, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 7, 7, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 8, 8, 1, 2, 1, 1, 1, 2, 8, 8, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 30, 316, 30, 7138, 203, 1070, 1133, 1188, 485, 29290, 30, 596, 17845, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 803, 7128, 32, 3550, 1188, 319, 203, 1070, 803, 7128, 32, 8239, 1188, 622, 81, 761, 81, 681, 30, 1984, 81, 2524, 30, 438, 81, 48339, 30, 622, 81, 1648, 81, 983, 203, 325, 18395, 81, 1164, 62, 44, 284, 645, 35381, 1188, 4361, 203, 1824, 44, 284, 1596, 44, 291, 645, 35381, 1188, 4361, 284, 2940, 29986, 44, 291, 1188, 4361, 203, 823, 2032, 959, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1519, 711, 291, 630, 32, 983, 280, 1519, 291, 630, 32, 965, 81, 2808, 280, 1519, 32, 3227, 22899, 1461, 29594, 291, 630, 32, 1816, 280, 2322, 32, 983, 32, 2998, 26, 983, 5594, 34, 79, 291, 630, 32, 3607, 280, 2322, 32, 983, 32, 2998, 26, 983, 5594, 35, 79, 291, 630, 32, 3607, 81, 5729, 280, 630, 32, 3607, 32, 5729, 346, 4456, 630, 32, 761, 681, 280, 622, 81, 761, 81, 681, 26, 784, 32, 3607, 27, 284, 665, 617, 47543, 26, 784, 711, 291, 415, 2322, 32, 983, 32, 29712, 26, 500, 32, 983, 32, 2524, 26, 21512, 81, 7789, 30, 630, 32, 983, 490, 556, 2322, 32, 983, 32, 34103, 26, 500, 32, 983, 32, 2524, 26, 21512, 81, 7789, 30, 630, 32, 983, 8531, 324, 442, 2322, 32, 983, 32, 371, 891, 26, 500, 32, 983, 32, 2524, 26, 21512, 81, 7789, 30, 630, 32, 983, 490, 291, 442, 3330, 284, 803, 891, 280, 2804, 2176, 47543, 27, 284, 665, 617, 770, 26, 784, 711, 291, 415, 2322, 32, 983, 32, 29712, 26, 500, 32, 983, 32, 2524, 26, 21512, 81, 7789, 30, 630, 32, 983, 490, 556, 2322, 32, 983, 32, 34103, 26, 500, 32, 983, 32, 2524, 26, 21512, 81, 7789, 30, 630, 32, 983, 8531, 324, 442, 2322, 32, 983, 32, 371, 29290, 26, 500, 32, 983, 32, 2524, 26, 21512, 81, 7789, 30, 630, 32, 983, 490, 291, 442, 3330, 284, 2340, 280, 2804, 2176, 770, 27, 284, 665, 617, 6665, 26, 784, 711, 291, 442, 7138, 32, 6665, 32, 1070, 5561, 26, 784, 32, 770, 27, 284, 7138, 280, 2804, 2176, 6665, 27, 284, 665, 617, 6728, 26, 784, 711, 291, 442, 1044, 15860, 101, 20, 904, 2322, 32, 983, 32, 48271, 26, 784, 32, 3607, 5594, 35, 79, 284, 5016, 280, 2804, 2176, 6728, 27, 284, 665, 617, 761, 681, 81, 7149, 26, 784, 711, 291, 415, 630, 32, 761, 681, 610, 313, 5637, 20, 461, 2322, 32, 983, 32, 34103, 26, 784, 32, 983, 81, 2620, 711, 324, 442, 630, 32, 761, 681, 291, 4348, 630, 32, 761, 681, 863, 313, 5637, 20, 461, 2322, 32, 983, 32, 29712, 26, 784, 32, 983, 81, 2620, 711, 324, 442, 630, 32, 761, 681, 291, 813, 44, 324, 442, 3330, 284, 803, 681, 81, 7149, 280, 2804, 2176, 761, 681, 81, 7149, 27, 284, 665, 617, 983, 81, 2620, 26, 784, 711, 291, 442, 1044, 15860, 101, 20, 904, 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, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 4, 4, 5, 5, 5, 5, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 4, 4, 7, 8, 6, 6, 10, 11, 9, 10, 9, 10, 9, 8, 7, 4, 4, 7, 8, 6, 6, 10, 11, 9, 10, 9, 10, 9, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 11, 12, 10, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 11, 12, 10, 5, 5, 7, 10, 11, 9, 10, 10, 9, 13, 12, 13, 11, 12, 11, 12, 12, 12, 11, 11, 12, 13, 11, 4, 4, 5, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 11, 12, 10, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 11, 12, 10, 5, 5, 7, 10, 11, 9, 10, 10, 9, 13, 12, 13, 11, 12, 11, 12, 12, 12, 11, 11, 12, 13, 11, 4, 4, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 8, 7, 9, 8, 9, 7, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 6, 6, 10, 11, 9, 10, 9, 11, 10, 11, 9, 8, 7, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 7, 7, 9, 9, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 10, 8, 5, 5, 7, 8, 9, 9, 5, 5, 6, 9, 10, 10, 8, 8, 10, 10, 7, 7, 10, 11, 9, 10, 9, 11, 10, 11, 11, 11, 9, 6, 6, 8, 9, 10, 10, 5, 5, 6, 6, 6, 8, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 6, 6, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 1, 1, 5, 5, 5, 0, 0, 0, 5, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 5, 1, 2, 1, 2, 5, 5, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 7, 1, 2, 1, 2, 7, 7, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 4, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 1, 2, 2, 0, 0, 5, 5, 5, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 1, 2, 1, 1, 0 ]
[ 1070, 4281, 1260, 1188, 10128, 101, 203, 1070, 6366, 2190, 81, 10419, 32, 32282, 32, 20252, 32, 20252, 81, 417, 1204, 81, 13956, 1188, 488, 20141, 71, 46589, 6519, 30, 1245, 203, 823, 6028, 47388, 71, 46589, 6519, 26, 47388, 71, 46589, 6519, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1359, 711, 291, 630, 3667, 1163, 280, 1359, 32, 371, 463, 13956, 683, 291, 630, 32, 2665, 81, 1267, 280, 2149, 284, 665, 4483, 26, 784, 30, 8456, 30, 3361, 711, 291, 1596, 44, 324, 630, 32, 2665, 81, 1267, 1365, 2929, 558, 1446, 280, 8456, 32, 2998, 32087, 6448, 35, 79, 4288, 630, 32, 2665, 81, 1267, 1365, 2929, 620, 1446, 280, 313, 1027, 2806, 26771, 20, 23688, 630, 32, 2665, 81, 1267, 1365, 29407, 1446, 280, 1605, 23688, 3519, 81, 452, 81, 850, 280, 3361, 32, 3227, 440, 34, 106, 392, 7746, 23688, 12785, 81, 3651, 280, 3432, 955, 32, 1070, 6949, 26, 3651, 81, 452, 81, 850, 27, 23688, 415, 630, 3667, 1163, 32, 371, 440, 6728, 31, 1163, 657, 438, 646, 1665, 44, 400, 436, 29346, 81, 678, 328, 630, 3667, 1163, 1365, 6728, 31, 1163, 18270, 261, 528, 786, 280, 225, 34, 528, 436, 617, 328, 2155, 26, 784, 3667, 1163, 1365, 6728, 31, 1163, 15544, 29407, 81, 678, 10794, 261, 715, 786, 280, 786, 28, 36, 39, 40, 474, 12785, 81, 3651, 32, 3235, 26, 34, 27, 261, 528, 29346, 81, 452, 81, 2714, 280, 301, 29407, 81, 678, 32, 3227, 440, 3644, 392, 7746, 44, 786, 111, 261, 528, 630, 32, 2665, 81, 1267, 1365, 29407, 6494, 1689, 26, 29407, 81, 452, 81, 2714, 27, 23688, 813, 44, 400, 630, 32, 2665, 81, 1267, 1365, 29407, 1446, 280, 3447, 605, 563, 629, 26, 1548, 30, 225, 34, 4370, 23688, 442, 630, 32, 2665, 81, 1267, 291, 2940, 3268, 619, 484, 44, 324, 1245, 32, 3893, 463, 924, 328, 17675, 30, 436, 1359, 44, 766, 96, 23, 101, 78, 96, 461, 1474, 44, 766, 96, 23, 101, 78, 96, 370, 10128, 101, 26, 784, 3667, 1163, 471, 3361, 27, 324, 1245, 32, 3893, 26, 87, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 10, 11, 11, 11, 9, 11, 11, 11, 8, 8, 11, 12, 11, 9, 11, 9, 6, 6, 10, 11, 11, 11, 9, 11, 11, 11, 8, 8, 10, 10, 10, 10, 6, 6, 10, 11, 11, 11, 9, 11, 11, 8, 8, 6, 6, 9, 9, 9, 9, 8, 8, 10, 11, 10, 12, 12, 12, 10, 6, 6, 9, 9, 8, 8, 11, 10, 11, 11, 10, 11, 11, 11, 11, 11, 10, 6, 6, 7, 11, 12, 10, 11, 10, 12, 12, 12, 12, 8, 8, 8, 7, 7, 7, 9, 10, 10, 9, 9, 11, 12, 10, 12, 12, 12, 12, 9, 9, 9, 12, 12, 13, 10, 10, 11, 11, 11, 13, 17, 16, 17, 15, 17, 17, 17, 17, 15, 15, 15, 14, 11, 11, 11, 14, 14, 16, 17, 17, 17, 15, 15, 18, 18, 17, 18, 17, 18, 17, 10, 10, 10, 13, 13, 13, 13, 12, 12, 17, 17, 17, 16, 17, 16, 18, 18, 16, 14, 14, 13, 10, 10, 10, 15, 16, 16, 16, 14, 16, 16, 14, 13, 14, 14, 14, 14, 14, 13, 7, 7, 8, 8, 8, 13, 14, 14, 14, 12, 14, 14, 11, 11, 15, 15, 13, 15, 16, 15, 15, 16, 15, 6, 6, 7, 8, 9, 9, 9, 5, 5, 6, 7, 7, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 13, 12, 12, 13, 13, 12, 12, 12, 12, 13, 12, 12, 13, 13, 12, 10, 12, 12, 14, 13, 14, 12, 10, 10, 7, 7, 10, 11, 10, 11, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 5, 0, 1, 1, 0, 0, 0, 2, 3, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 5, 5, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 5, 5, 5, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 4, 4, 4, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 2, 6, 1, 2, 2, 2, 0, 0, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 14785, 619, 5239, 203, 1070, 9270, 32, 3938, 1188, 1344, 81, 1643, 203, 1070, 1300, 81, 18557, 32, 34619, 1188, 802, 81, 410, 81, 1172, 81, 1110, 81, 4365, 36, 203, 1070, 1300, 81, 18557, 32, 2304, 1188, 2266, 81, 1110, 81, 1040, 203, 823, 9286, 1208, 1733, 1006, 26, 4213, 32, 858, 32, 7233, 711, 334, 665, 617, 5536, 81, 1172, 81, 1110, 26, 784, 30, 1929, 81, 4820, 711, 284, 2266, 81, 1110, 81, 1805, 280, 802, 81, 410, 81, 1172, 81, 1110, 81, 4365, 36, 32, 652, 1428, 2168, 1208, 346, 284, 436, 595, 328, 2155, 26, 35, 30, 1929, 81, 4820, 474, 225, 35, 711, 397, 1623, 280, 2266, 81, 1110, 81, 1805, 32, 1094, 32, 669, 346, 397, 1623, 32, 314, 280, 595, 397, 1623, 32, 426, 280, 330, 1172, 16436, 474, 596, 26, 91, 27, 397, 1623, 32, 2751, 81, 426, 280, 596, 26, 91, 27, 284, 442, 2266, 81, 1110, 81, 1805, 334, 665, 894, 81, 371, 81, 1172, 81, 1110, 81, 2665, 26, 784, 711, 284, 2266, 81, 1110, 81, 800, 280, 1524, 397, 1623, 301, 291, 804, 44, 36, 291, 636, 6078, 2579, 25, 397, 320, 397, 1623, 301, 291, 804, 44, 35, 291, 636, 6078, 14612, 25, 397, 320, 284, 1524, 284, 2266, 81, 1110, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 371, 81, 1433, 81, 1515, 1026, 330, 1172, 81, 1110, 32, 4365, 2760, 683, 284, 623, 5239, 32, 89, 761, 32, 2961, 26, 1172, 81, 1110, 81, 983, 30, 330, 12108, 683, 619, 296, 44, 397, 296, 32, 1821, 26, 1172, 81, 1110, 81, 800, 27, 284, 2266, 81, 1110, 81, 2665, 280, 2266, 81, 1110, 81, 1040, 32, 371, 81, 1172, 81, 1110, 81, 2665, 26, 1172, 81, 1110, 81, 983, 27, 284, 630, 32, 5299, 26, 1172, 81, 1110, 81, 2665, 710, 14612, 2188, 225, 35, 27, 284, 630, 32, 5299, 26, 1172, 81, 1110, 81, 2665, 710, 2579, 2188, 225, 36, 27, 334, 665, 894, 81, 371, 81, 1172, 81, 1110, 81, 2665, 81, 2751, 26, 784, 711, 284, 2266, 81, 1110, 81, 800, 280, 1524, 397, 1623, 301, 291, 804, 44, 36, 291, 2503, 81, 426, 6078, 2579, 25, 397, 320, 397, 1623, 301, 291, 804, 44, 35, 291, 2503, 81, 426, 6078, 14612, 25, 397, 320, 284, 1524, 284, 2266, 81, 1110, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 784, 32, 371, 81, 1433, 81, 1515, 1026, 330, 1172, 81, 1110, 32, 4365, 2760, 683, 284, 623, 5239, 32, 89, 761, 32, 2961, 26, 1172, 81, 1110, 81, 983, 30, 330, 12108, 683, 619, 296, 44, 397, 296, 32, 1821, 26, 1172, 81, 1110, 81, 800, 27, 284, 2266, 81, 1110, 81, 2665, 280, 2266, 81, 1110, 81, 1040, 32, 371, 81, 1172, 81, 1110, 81, 2665, 26, 291, 2266, 81, 1110, 81, 983, 30, 793, 81, 2751, 81, 426, 47, 1815, 27, 284, 630, 32, 5299, 26, 1172, 81, 1110, 81, 2665, 710, 14612, 2188, 225, 35, 27, 284, 630, 32, 5299, 26, 1172 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 8, 4, 4, 5, 5, 5, 7, 8, 7, 7, 9, 9, 8, 8, 9, 7, 5, 5, 8, 8, 12, 12, 12, 12, 11, 12, 10, 11, 10, 6, 6, 9, 10, 8, 8, 6, 6, 9, 10, 8, 8, 11, 11, 9, 9, 11, 12, 11, 6, 6, 9, 10, 10, 10, 8, 8, 10, 11, 10, 4, 4, 5, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 11, 10, 11, 11, 11, 11, 11, 10, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 11, 12, 12, 10, 11, 10, 11, 11, 11, 11, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 9, 10, 9, 10, 10, 10, 10, 10, 9, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 8, 10, 10, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 8, 10, 10, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 11, 10, 11, 11, 11, 11, 11, 10, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 11, 12, 12, 10, 11, 10, 11, 11, 11, 11, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 9, 10, 9, 10, 10, 10, 10, 10, 9, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 8, 10, 10, 7, 8, 7, 4, 4, 7, 8, 7, 9 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 5, 5, 0, 2, 0, 0, 5, 5, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 5, 5, 0, 2, 2, 2, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 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, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0 ]
[ 465, 13092, 203, 1070, 31730, 414, 32, 1262, 32, 11452, 1188, 11540, 924, 203, 1070, 31730, 414, 32, 1872, 1188, 2398, 1862, 30, 2398, 1862, 4439, 203, 589, 894, 81, 2238, 81, 681, 81, 26801, 2262, 284, 3443, 280, 2398, 1862, 32, 17725, 463, 37310, 225, 35, 683, 284, 1201, 3443, 32, 2238, 81, 681, 610, 3443, 32, 17652, 620, 284, 3443, 280, 2398, 1862, 32, 17725, 26, 103, 25, 37310, 225, 35, 683, 284, 1201, 3443, 32, 2238, 81, 681, 610, 3443, 32, 17652, 620, 284, 3443, 280, 2398, 1862, 32, 17725, 463, 311, 37310, 225, 35, 683, 284, 1201, 3443, 32, 2238, 81, 681, 610, 3443, 32, 1061, 37310, 620, 284, 3443, 280, 2398, 1862, 32, 17725, 26, 103, 25, 311, 37310, 225, 35, 683, 284, 1201, 3443, 32, 2238, 81, 681, 610, 3443, 32, 1061, 37310, 620, 284, 3443, 280, 2398, 1862, 32, 17725, 463, 4680, 225, 35, 683, 284, 1201, 3443, 32, 2238, 81, 681, 610, 3443, 32, 6477, 620, 284, 3443, 280, 2398, 1862, 32, 17725, 26, 103, 25, 4680, 225, 35, 683, 284, 1201, 3443, 32, 2238, 81, 681, 610, 3443, 32, 6477, 620, 284, 3443, 280, 2398, 1862, 32, 17725, 463, 8662, 225, 35, 683, 284, 1201, 3443, 32, 2238, 81, 681, 610, 3443, 32, 5465, 620, 284, 3443, 280, 2398, 1862, 32, 17725, 26, 103, 25, 8662, 225, 35, 683, 284, 1201, 3443, 32, 2238, 81, 681, 610, 3443, 32, 5465, 620, 284, 3443, 280, 2398, 1862, 32, 17725, 463, 2024, 225, 35, 683, 284, 1201, 3443, 32, 2238, 81, 681, 610, 3443, 32, 39102, 284, 3443, 280, 2398, 1862, 32, 17725, 26, 103, 25, 2024, 225, 35, 683, 284, 1201, 3443, 32, 2238, 81, 681, 610, 3443, 32, 39102, 203, 589, 894, 81, 2238, 81, 314, 81, 26801, 2262, 284, 3443, 280, 2398, 1862, 32, 17725, 463, 37310, 225, 35, 683, 284, 1201, 3443, 32, 2238, 81, 314, 610, 225, 35, 284, 3443, 280, 2398, 1862, 32, 17725, 463, 37310, 225, 34, 106, 35, 34, 34, 683, 284, 1201, 3443, 32, 2238, 81, 314, 610, 225, 34, 106, 35, 34, 34, 284, 3443, 280, 2398, 1862, 32, 17725, 26, 103, 25, 37310, 225, 35, 683, 284, 1201, 3443, 32, 2238, 81, 314, 610, 225, 35, 284, 3443, 280, 2398, 1862, 32, 17725, 26, 103, 25, 37310, 225, 34, 106, 35, 34, 34, 683, 284, 1201, 3443, 32, 2238, 81, 314, 610, 225, 34, 106, 35, 34, 34, 203, 589, 894, 81, 2946, 81, 26801, 2262, 284, 3443, 280, 2398, 1862, 32, 17725, 463, 37310, 225, 35, 683, 284, 1201, 3443, 32, 2946, 438, 3177, 284, 3443, 280, 2398, 1862, 32, 17725, 26, 103, 25, 37310, 225, 35, 683, 284, 1201, 3443, 32, 2946, 438, 3177, 284, 3443, 280, 2398, 1862, 32, 17725, 463, 2946, 31733, 225, 35, 683, 284, 1201, 3443, 32, 2946, 438, 2933, 284, 3443, 280, 2398, 1862, 32, 17725, 26, 103, 1182, 759, 31733, 225, 35, 683, 284, 1201, 3443, 32, 2946, 438, 2933, 203, 589, 894, 81, 800, 1865, 2262, 284, 3443, 35, 280, 2398, 1862, 32, 17725, 463 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 6, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 6, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 6, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 6, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 6, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 6, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 3, 5, 6, 4, 4, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 4, 4, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 4, 4, 2, 2, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 5, 6, 4, 4, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 4, 4, 7, 6, 7, 6 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 4, 4, 3, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 5, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 4, 4, 7, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 9, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 4, 4, 11, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 13, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 4, 4, 15, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 17, 0, 2, 2, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 4, 4, 19, 0, 2, 2, 2, 1, 1, 2, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 4, 4, 5, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 5, 5, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 4, 4, 3, 0, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 5, 0, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 4, 4, 7, 0, 2, 1, 1, 0, 6, 6, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 2, 1 ]
[ 1070, 638, 1648, 1188, 1156, 1648, 505, 203, 465, 5741, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 4073, 32, 1338, 463, 9515, 20458, 978, 1503, 44, 19553, 1643, 4064, 1648, 28154, 203, 1070, 638, 2304, 1188, 8792, 30, 8792, 81, 944, 30, 8792, 81, 858, 261, 203, 1070, 638, 3378, 1188, 319, 261, 203, 1070, 638, 5558, 1188, 319, 261, 203, 1070, 638, 9081, 1188, 319, 261, 203, 505, 464, 505, 280, 2107, 1237, 370, 330, 27336, 101, 370, 330, 4538, 370, 330, 9081, 370, 330, 3378, 370, 330, 5558, 785, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 4, 3, 4, 3, 7, 7, 7, 7, 7, 7, 6, 5, 6, 6, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 0, 1, 1, 4, 1, 1, 0, 0, 1, 1, 4, 1, 1, 0, 0, 1, 1, 4, 1, 1, 0, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 2361, 203, 465, 5741, 203, 1070, 35094, 1188, 33845, 203, 465, 18792, 203, 1070, 18792, 32, 21332, 1188, 22045, 203, 1070, 376, 36, 1580, 32, 2304, 1188, 1913, 1580, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 1015, 81, 2393, 81, 1956, 81, 452, 81, 5321, 81, 1070, 81, 2121, 26, 1298, 711, 284, 477, 4071, 101, 26, 1298, 27, 284, 665, 12982, 332, 2740, 1132, 30, 1115, 5321, 711, 291, 415, 646, 10306, 32, 371, 463, 1956, 683, 461, 2322, 32, 12757, 32, 371, 463, 635, 36, 81, 9036, 81, 9052, 370, 1665, 711, 324, 10306, 710, 1956, 785, 280, 2322, 32, 12757, 32, 371, 463, 635, 36, 81, 9036, 81, 9052, 683, 291, 442, 3420, 2740, 1132, 30, 1115, 5321, 27, 284, 442, 12982, 332, 203, 823, 6287, 26, 1473, 711, 284, 617, 7909, 280, 1665, 284, 617, 2751, 81, 426, 280, 1665, 284, 617, 965, 81, 983, 280, 1665, 284, 617, 25857, 280, 1665, 284, 617, 25857, 81, 2751, 81, 426, 280, 1665, 284, 617, 13707, 81, 5843, 280, 1605, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 436, 831, 30, 354, 328, 18792, 32, 40957, 26, 5321, 711, 324, 39506, 26, 784, 30, 831, 30, 354, 27, 284, 665, 372, 81, 2665, 26, 784, 30, 11246, 81, 5843, 47, 2521, 711, 291, 11246, 81, 5843, 280, 11246, 81, 5843, 556, 1605, 291, 5414, 280, 630, 3667, 2665, 9818, 3494, 346, 291, 5414, 280, 428, 2437, 436, 5601, 328, 5414, 415, 646, 5601, 32, 15990, 463, 505, 683, 461, 2855, 5601, 646, 328, 11246, 81, 5843, 79, 291, 1056, 280, 2149, 291, 436, 3879, 328, 5414, 44, 324, 786, 280, 18623, 26, 784, 30, 3879, 30, 1665, 27, 324, 1056, 77, 4890, 79, 280, 786, 291, 442, 1056, 284, 477, 17614, 284, 665, 622, 81, 7909, 26, 6933, 711, 291, 442, 9011, 1114, 7909, 415, 9011, 1114, 7909, 813, 9011, 3667, 426, 505, 284, 477, 17614, 284, 665, 622, 81, 2751, 81, 426, 26, 6933, 711, 291, 442, 9011, 1114, 2751, 81, 426, 415, 9011, 1114, 2751, 81, 426, 813, 9011, 3667, 426, 505, 284, 477, 17614, 284, 665, 622, 81, 25857, 81, 426, 26, 6933, 711, 291, 415, 646, 9011, 1114, 25857, 44, 324, 3636, 3268, 463, 1318, 904, 101, 443, 438, 5816, 443, 5414, 330, 1014, 330, 266, 2819, 5644, 4564, 904, 9011, 3667, 426, 8223, 291, 442, 9011, 1114, 25857, 284, 477, 17614, 284, 665, 622, 81, 25857, 81, 2751, 81, 426, 26, 6933, 711, 291, 442, 308, 6933, 1114, 25857, 81, 2751, 81, 426, 400, 415, 9011, 1114, 25857, 81, 2751, 81, 426, 400, 813, 9011, 1114, 25857, 27, 284, 477, 17614, 284, 665, 622, 81, 965, 81, 983, 81, 426, 26, 6933, 711, 291, 415, 9011, 1114, 965, 81, 983, 44, 324, 442, 9011, 1114, 965, 81, 983, 291, 442, 9011, 32, 371, 81, 25857, 81, 426, 922, 5729, 346, 284, 665, 12741, 26, 784, 711, 291, 442, 5436, 1162, 93, 30, 354, 27, 528, 436, 831, 30, 354, 328, 18792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 6, 6, 6, 7, 6, 3, 3, 4, 5, 5, 7, 5, 5, 7, 5, 4, 4, 6, 8, 10, 11, 10, 12, 12, 7, 7, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 6, 6, 10, 12, 12, 9, 9, 12, 13, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 5, 5, 6, 8, 10, 8, 8, 10, 8, 2, 2, 3, 4, 0, 1, 1, 2, 3, 2, 1, 1, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 6, 6, 5, 5, 7, 8, 7, 8, 7, 5, 5, 9, 10, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 6, 6, 8, 8, 7, 7, 4, 4, 6, 6, 9, 10, 10, 9, 8, 4, 4, 6, 6, 8, 7, 8, 8, 8, 7, 8, 10, 12, 13, 12, 14, 14, 9, 9, 9, 10, 10, 10, 11, 11, 7, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 8, 8, 10, 11, 10, 10, 10, 10, 10, 6, 6, 9, 10, 9, 8, 8, 4, 4, 5, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 9, 6, 6, 6, 8, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 11, 11, 12, 13, 13, 5, 5, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 10, 9, 10, 10, 10, 10, 10, 8, 8, 8, 9, 10, 10, 10, 10, 10, 8, 8, 8, 9, 10, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 8, 8, 6, 6, 6, 8, 9, 10, 10, 10, 5, 5, 6, 10, 11, 11, 11, 11, 11, 10, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 9, 8, 8, 8, 7, 7, 8, 9, 9, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 0, 9, 9, 2, 1, 2, 9, 9, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 6, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 6, 6, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 1, 2, 2, 2, 2, 2, 3, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 0, 0, 0, 4, 4, 5, 4, 4, 1, 8, 8, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 4, 2, 2, 4, 4, 1, 9, 9, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 4, 2, 2, 4, 4, 1, 10, 10, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 2, 4, 4, 1, 11, 11, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 2, 1, 4, 4, 1, 12, 12, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 4, 4, 13, 2, 1, 2, 13, 13, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 5237, 30, 500, 30, 615, 1040, 30, 13285, 30, 268, 30, 27958, 30, 5366, 761, 30, 13621, 30, 1003, 30, 18697, 203, 1270, 44, 645, 22045, 32, 1357, 1188, 1984, 19042, 619, 622, 965, 203, 7343, 44, 645, 22045, 1188, 1984, 19042, 619, 622, 965, 203, 1270, 44, 284, 1188, 43008, 284, 1929, 33419, 280, 43008, 32, 6281, 81, 998, 346, 203, 7343, 44, 284, 1929, 33419, 280, 225, 35, 203, 589, 1048, 26, 466, 47, 2521, 711, 284, 415, 646, 596, 44, 1459, 26, 4756, 2076, 27, 284, 813, 44, 1459, 26, 3731, 32, 6118, 77, 34, 22353, 2930, 9318, 466, 27, 284, 5237, 32, 4775, 346, 203, 589, 622, 2420, 26, 626, 30, 7317, 711, 284, 415, 1638, 328, 2107, 7134, 1195, 10922, 1195, 75, 1195, 107, 1195, 267, 1195, 35, 1195, 1815, 1195, 1508, 12132, 291, 442, 2933, 284, 4348, 1638, 328, 2107, 1347, 1195, 2023, 1195, 64, 1195, 96, 1195, 1719, 1195, 34, 1195, 2700, 1195, 1870, 12132, 291, 442, 3177, 284, 813, 44, 291, 1048, 440, 5842, 904, 101, 2470, 44, 904, 101, 20, 904, 308, 7317, 30, 626, 490, 203, 589, 3536, 983, 26, 983, 711, 284, 442, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 8931, 496, 26, 983, 490, 203, 589, 622, 8022, 26, 965, 30, 426, 711, 284, 39097, 426, 280, 636, 474, 4939, 6680, 20, 284, 622, 965, 26, 965, 30, 6680, 426, 27, 284, 623, 24297, 32, 1676, 26, 6680, 426, 1947, 4506, 683, 619, 39097, 81, 266, 44, 397, 623, 2156, 26, 426, 1947, 12108, 683, 619, 296, 81, 541, 44, 291, 22977, 32, 2991, 761, 2067, 26, 6680, 81, 266, 30, 88, 81, 541, 27, 284, 39097, 81, 266, 32, 2679, 346, 284, 296, 81, 541, 32, 2679, 346, 284, 2322, 32, 2546, 26, 6680, 426, 27, 203, 589, 2664, 26, 3515, 711, 284, 1596, 44, 291, 10475, 280, 16539, 32, 1553, 81, 2024, 26, 3515, 30, 8228, 47, 27958, 32, 39790, 30, 7883, 47, 1815, 27, 284, 2940, 16539, 32, 9402, 2861, 924, 619, 484, 44, 291, 1459, 440, 2019, 6611, 101, 25, 4717, 2979, 31, 6158, 4323, 2287, 20, 904, 484, 32, 3515, 27, 291, 1048, 26, 87, 32, 2024, 32, 5460, 463, 6261, 31, 42, 2847, 284, 442, 10475, 32, 5460, 463, 6261, 31, 42, 683, 203, 589, 1510, 26, 5784, 711, 284, 665, 438, 81, 8022, 26, 88, 983, 711, 291, 442, 2322, 32, 983, 32, 29712, 26, 88, 983, 27, 461, 2322, 32, 3560, 26, 88, 983, 30, 2322, 32, 74, 81, 2950, 27, 284, 296, 983, 30, 18146, 280, 2322, 32, 983, 32, 2998, 26, 5784, 27, 284, 415, 296, 983, 44, 291, 415, 438, 81, 8022, 26, 5784, 711, 324, 442, 3460, 284, 813, 44, 291, 436, 1519, 328, 2322, 32, 12757, 1365, 4065, 6494, 2998, 26, 500, 32, 983, 12595, 711, 324, 1519, 280, 1519, 32, 7201, 33103, 683, 324, 30150, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 983, 30, 3460, 27, 324, 415, 438, 81, 8022 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 3, 3, 1, 3, 1, 3, 1, 3, 1, 3, 3, 1, 3, 1, 3, 1, 3, 0, 1, 1, 1, 3, 4, 5, 3, 3, 6, 4, 4, 5, 1, 2, 2, 2, 4, 4, 4, 7, 5, 5, 6, 0, 1, 1, 1, 1, 3, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 1, 2, 2, 2, 2, 6, 5, 5, 6, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 3, 3, 7, 8, 8, 7, 3, 3, 4, 4, 8, 11, 10, 11, 9, 10, 9, 10, 10, 9, 8, 2, 2, 5, 6, 5, 0, 1, 1, 2, 2, 3, 2, 3, 2, 1, 1, 3, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 3, 3, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 3, 3, 4, 4, 4, 8, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 10, 11, 10, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 8, 7, 8, 7, 0, 1, 1, 2, 2, 3, 2, 3, 2, 1, 1, 5, 4, 4, 5, 5, 7, 7, 2, 2, 5, 5, 6, 5, 6, 6, 5, 2, 2, 3, 8, 9, 8, 9, 9, 8, 10, 10, 6, 6, 8, 8, 3, 3, 3, 5, 10, 11, 10, 12, 12, 8, 8, 10, 10, 5, 5, 5, 9, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 9, 2, 2, 6, 6, 5, 6, 5, 2, 2, 6, 6, 5, 6, 5, 2, 2, 5, 6, 5, 6, 6, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3, 3, 6, 6, 8, 9, 9, 9, 8, 9, 8, 10, 9, 11, 10, 11, 8, 10, 9, 10, 8, 3, 3, 4, 6, 7, 7, 7, 5, 5, 4, 4, 4, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 11, 8, 5, 5, 8, 12, 11, 12, 10, 11, 10, 12, 12, 12, 12, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 5, 4, 3, 3, 5, 9, 10, 8, 9, 8, 9, 9, 8, 6, 6, 8, 9, 8, 9, 9, 8, 8, 9, 10, 10, 10, 8, 2, 2, 6, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 2, 2, 3, 4, 3, 3, 3, 5, 7, 7, 7, 8, 7, 5, 5, 7, 3, 3, 4, 4, 4, 6, 6, 6, 10, 11, 9, 11, 11, 9, 8, 10, 9, 10, 10, 8, 6, 6, 9, 9, 11, 12, 11, 13, 7, 7, 10, 10, 9, 9, 12, 13, 11, 12, 11, 12, 11, 11, 11, 7, 7, 8, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 3, 3, 2, 2, 3, 3, 3, 0, 0, 0, 0, 3, 3, 2, 0, 3, 3, 3, 3, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 3, 3, 3, 0, 0, 0, 2, 0, 4, 4, 2, 0, 1, 2, 2, 4, 4, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 4, 4, 1, 0, 0, 2, 1, 2, 1, 1, 1, 5, 1, 4, 4, 0, 2, 1, 0, 5, 5, 1, 2, 1, 2, 3, 2, 5, 5, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 4, 4, 0, 0, 0, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 2, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 7, 7, 1, 2, 1, 2, 3, 2, 7, 7, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 1, 1, 1, 3, 3, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 8, 8, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 3, 0, 2, 2, 1, 0, 5, 2, 1, 0, 0, 3, 0, 2, 2, 2, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 3, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 2, 0, 9, 9, 2, 1, 2, 9, 9, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 4, 4, 4, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 2, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 505, 3662, 313, 2958, 31, 5628, 8540, 8358, 2131, 203, 465, 2361, 203, 465, 22977, 203, 465, 16539, 203, 465, 29590, 203, 465, 27374, 203, 1070, 2368, 8540, 8358, 32, 2393, 5866, 1188, 6227, 1183, 5392, 30, 3398, 9505, 984, 203, 1070, 4527, 1188, 319, 203, 589, 1505, 81, 955, 81, 1267, 26, 1473, 81, 955, 30, 372, 81, 2872, 30, 2799, 711, 284, 1929, 81, 16317, 280, 225, 34, 284, 436, 1623, 328, 1300, 81, 955, 44, 291, 1169, 81, 2872, 280, 2933, 291, 436, 1202, 30, 853, 328, 372, 81, 2872, 32, 3028, 2262, 324, 415, 1623, 77, 678, 79, 863, 786, 44, 400, 1169, 81, 2872, 280, 3177, 291, 415, 646, 1169, 81, 2872, 44, 324, 4036, 291, 436, 1202, 30, 853, 328, 2799, 32, 3028, 2262, 324, 415, 1623, 77, 678, 79, 863, 786, 44, 400, 3636, 34835, 4912, 101, 499, 2799, 904, 101, 6132, 101, 15860, 26, 466, 26, 1094, 471, 596, 26, 678, 471, 596, 26, 853, 2610, 324, 1929, 81, 16317, 280, 1929, 81, 16317, 29, 35, 284, 415, 1929, 81, 16317, 610, 225, 34, 44, 291, 3636, 34835, 440, 2023, 4684, 14995, 904, 101, 15860, 26, 466, 26, 452, 81, 2872, 2610, 203, 589, 1420, 81, 858, 26, 5459, 711, 284, 6486, 314, 280, 5166, 77, 34, 997, 2714, 452, 2468, 26, 5459, 77, 35, 997, 371, 890, 2468, 1026, 225, 34, 32, 35, 27, 284, 7652, 81, 26827, 7550, 26, 5459, 27, 284, 1505, 81, 955, 81, 1267, 26, 5459, 77, 34, 997, 668, 16242, 1026, 5556, 3447, 1483, 314, 563, 1483, 314, 835, 5556, 3447, 3153, 2510, 2714, 1461, 3524, 28858, 5545, 563, 7697, 10359, 34, 32, 35, 2113, 20, 8853, 993, 563, 34, 1748, 284, 1505, 81, 955, 81, 1267, 26, 5459, 77, 35, 997, 668, 16242, 1026, 5556, 3447, 1483, 314, 563, 1483, 314, 835, 5556, 3447, 3153, 2510, 13162, 1461, 3524, 28858, 5545, 563, 7697, 440, 34, 32, 35, 2113, 20, 8853, 993, 563, 34, 1748, 284, 5166, 77, 34, 997, 470, 5536, 26, 1815, 30, 225, 35, 27, 284, 7652, 81, 8587, 26, 5459, 27, 284, 1505, 81, 955, 81, 1267, 26, 5459, 77, 34, 997, 668, 16242, 1026, 5556, 3447, 1483, 314, 563, 1483, 314, 835, 5556, 3447, 3153, 2510, 2714, 1461, 3524, 28858, 5545, 563, 7697, 10359, 34, 32, 35, 2113, 20, 8853, 993, 563, 35, 1748, 284, 1505, 81, 955, 81, 1267, 26, 5459, 77, 35, 997, 668, 16242, 1026, 5556, 3447, 1483, 314, 563, 1483, 314, 835, 5556, 3447, 3153, 2510, 13162, 1461, 3524, 28858, 5545, 563, 7697, 440, 34, 32, 35, 2113, 20, 8853, 993, 563, 35, 1748, 284, 6486, 314, 280, 5166, 77, 34, 997, 2714, 452, 2468, 26, 5459, 77, 34, 997, 371, 890, 2468, 1026, 225, 34, 32, 36, 27, 284, 1505, 81, 955, 81, 1267, 26, 5459, 77, 34, 997, 668, 16242, 1026, 5556, 3447, 1483, 314, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 9, 5, 7, 7, 7, 7, 7, 7, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 7, 7, 6, 6, 4, 4, 5, 6, 7, 5, 5, 8, 8, 7, 8, 7, 5, 5, 7, 9, 10, 9, 8, 8, 7, 7, 7, 11, 11, 10, 10, 4, 4, 5, 6, 7, 7, 5, 5, 5, 4, 4, 5, 6, 7, 5, 5, 7, 8, 7, 5, 5, 7, 9, 10, 9, 8, 8, 7, 7, 7, 9, 11, 14, 14, 14, 14, 14, 14, 14, 14, 13, 15, 15, 16, 15, 13, 15, 16, 15, 13, 15, 16, 15, 6, 6, 9, 9, 8, 8, 10, 10, 9, 10, 2, 2, 3, 5, 5, 4, 4, 5, 3, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 9, 11, 11, 12, 12, 12, 11, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 7, 8, 7, 7, 7, 7, 6, 10, 9, 10, 9, 9, 9, 9, 8, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 6, 5, 2, 2, 5, 5, 5, 5, 5, 9, 8, 9, 8, 8, 8, 7, 5, 5, 9, 9, 9, 8, 8, 6, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 9, 9, 9, 9, 8, 6, 2, 2, 5, 5, 5, 5, 5, 9, 8, 9, 8, 8, 8, 7, 5, 5, 9, 9, 9, 8, 8, 6, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 9, 9, 9, 9, 8, 6, 2, 2, 6, 7, 6, 6, 6, 5, 6, 5, 5, 6, 5, 2, 2, 5, 5, 5, 6, 5, 2, 2, 5, 5, 5, 5, 5, 9, 8, 9, 8, 8, 8, 7, 5, 5, 9, 9, 9, 8, 8, 6, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 9, 9, 9, 9, 8, 6, 2, 2, 5, 5, 5, 5, 5, 9, 8, 9, 8, 8, 8, 7, 5, 5, 9, 9, 9, 8, 8, 6, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 9, 9, 9, 9, 8, 6, 2, 2, 5, 4, 4, 7, 8, 7, 7, 7, 7, 6, 10, 9, 10, 9, 9, 9, 9, 8, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 9, 8, 9, 8, 8, 8, 7, 5, 5, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 0, 1, 2, 2, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 9, 9, 0, 10, 10, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 10, 10, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 5, 5, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 5, 5, 2, 1, 1, 1, 2, 2, 2, 5, 5, 3, 1, 2, 3, 3, 0, 2, 1, 3, 3, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 5, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 5, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 5, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 5, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2 ]