Datasets:

---

patrykbart

/

codeparrot-clean-no-comments-starencoder-small

like 0

[ 465, 13625, 203, 465, 5523, 203, 465, 15798, 203, 1070, 1619, 1356, 1188, 1619, 4018, 203, 465, 13092, 203, 1070, 3312, 32, 1467, 282, 39067, 1188, 4450, 81, 5961, 81, 27680, 203, 1070, 2098, 19631, 32, 864, 4177, 32, 3325, 1467, 282, 1188, 7089, 1467, 282, 203, 1070, 2098, 19631, 32, 14481, 32, 1222, 36120, 1188, 11656, 81, 761, 203, 1070, 2098, 19631, 32, 3550, 32, 5426, 1188, 13630, 203, 1070, 2098, 19631, 32, 3550, 32, 7085, 1188, 15448, 203, 50, 1819, 4018, 203, 589, 5742, 81, 47010, 26, 47010, 30, 319, 1132, 30, 1115, 5321, 711, 284, 1596, 44, 291, 41116, 81, 2024, 81, 7101, 280, 41116, 32, 4526, 2740, 1132, 30, 1115, 5321, 27, 291, 1201, 41116, 81, 2024, 81, 7101, 438, 646, 1665, 30, 766, 324, 313, 1467, 282, 4717, 1665, 544, 6063, 78, 96, 20, 291, 6761, 41116, 81, 2024, 81, 7101, 284, 2940, 3268, 619, 1137, 44, 291, 3124, 280, 1605, 291, 2218, 646, 41116, 32, 1436, 81, 3926, 32, 2951, 2262, 324, 3124, 32, 1689, 26, 47010, 32, 1436, 81, 3926, 32, 371, 922, 1436, 27, 291, 3636, 34835, 26, 466, 26, 530, 27, 474, 313, 766, 96, 20, 474, 2706, 96, 2296, 2524, 26, 2076, 490, 284, 442, 1149, 26, 47010, 81, 2024, 81, 7101, 27, 203, 823, 7089, 1467, 282, 39067, 26, 18986, 32, 7233, 711, 10065, 665, 1505, 81, 43456, 26, 784, 30, 5556, 2196, 81, 47010, 30, 5556, 5430, 30, 5556, 4870, 47, 2521, 30, 5556, 2080, 47, 1815, 30, 5556, 7650, 81, 928, 2969, 101, 47, 1815, 30, 5556, 1487, 81, 1433, 761, 47, 1815, 30, 5556, 29590, 81, 5321, 19704, 711, 291, 1201, 6937, 26, 784, 30, 15798, 32, 7233, 27, 291, 630, 32, 25839, 1810, 26, 1696, 81, 47010, 30, 4985, 7089, 1467, 282, 30, 4985, 3124, 347, 1318, 2702, 41116, 438, 646, 312, 2196, 41116, 7144, 291, 630, 32, 25839, 1810, 26, 4446, 30, 4985, 308, 668, 30, 8825, 471, 4985, 3124, 347, 1318, 2702, 5430, 884, 646, 312, 1149, 7144, 291, 623, 11656, 81, 761, 26, 4446, 30, 4870, 30, 3775, 7650, 81, 928, 2969, 101, 47, 5538, 81, 928, 2969, 101, 30, 3775, 1487, 81, 1433, 761, 47, 1297, 81, 1433, 761, 30, 3775, 29590, 81, 5321, 47, 1433, 761, 81, 5321, 27, 619, 308, 761, 30, 18146, 471, 766, 400, 5742, 81, 47010, 26, 1696, 81, 47010, 30, 18146, 30, 803, 27, 619, 41116, 81, 2024, 44, 324, 415, 2080, 44, 400, 3124, 280, 2884, 1318, 2196, 41116, 30267, 41101, 312, 1056, 21092, 561, 313, 5556, 313, 3163, 96, 1330, 35145, 1643, 26, 1696, 81, 47010, 3667, 823, 29215, 426, 28154, 400, 630, 32, 5299, 26, 47010, 81, 2024, 30, 5518, 3124, 47, 2076, 27, 324, 813, 44, 400, 3124, 280, 2884, 1318, 2196, 41116, 30267, 41101, 1289, 1056, 21092, 561, 313, 5556, 313, 3163, 35145, 1643, 26, 1696, 81, 47010, 3667, 823, 29215, 426, 28154, 400, 630, 32, 31196, 1324, 26, 1657, 26, 47010, 81, 2024, 471, 225, 34, 30, 3124, 47, 2076, 27, 324, 442, 41116, 81, 2024, 284, 665, 1505, 81, 4295 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 3, 5, 3, 3, 5, 3, 2, 2, 4, 4, 4, 8, 8, 8, 8, 7, 7, 9, 10, 9, 11, 9, 9, 11, 9, 5, 5, 6, 8, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 8, 5, 5, 7, 8, 8, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 6, 6, 7, 8, 11, 12, 12, 12, 10, 11, 10, 7, 7, 11, 12, 11, 16, 15, 16, 16, 16, 14, 15, 14, 13, 11, 6, 6, 7, 9, 13, 13, 14, 13, 11, 11, 13, 14, 13, 10, 10, 15, 14, 13, 12, 13, 12, 3, 3, 4, 6, 7, 7, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 4, 3, 3, 5, 7, 8, 7, 7, 8, 9, 7, 4, 4, 7, 8, 8, 7, 8, 8, 8, 7, 7, 7, 8, 8, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 7, 8, 7, 7, 7, 9, 8, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 10, 10, 10, 11, 10, 10, 10, 10, 10, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 10, 10, 10, 12, 12, 12, 11, 12, 12, 12, 12, 10, 10, 10, 12, 12, 11, 12, 12, 12, 12, 10, 8, 8, 11, 10, 10, 10, 6, 7, 6, 10, 10, 10, 11, 11, 11, 10, 10, 10, 10, 10, 8, 8, 10, 10, 5, 5, 5, 7, 7, 7, 7, 10, 10, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 16, 16, 16, 16, 14, 13, 16, 16, 16, 15, 16, 16, 15, 15, 8, 8, 11, 12, 11, 12, 12, 12, 11, 11, 11, 12, 13, 11, 7, 7, 8, 8, 8, 11, 11, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 15, 15, 17, 17, 15, 14, 17, 17, 17, 16, 17, 17, 16, 16, 9, 9, 12, 13, 13, 12, 14, 14, 15, 15, 15, 14, 12, 13, 12, 12, 13, 14, 12, 6, 6, 7, 8, 8, 2, 2, 3, 4, 4 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 2, 1, 4, 4, 4, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 4, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 0, 1, 1, 10, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 3, 3, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 3, 3, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 2, 0, 1, 2, 2, 11, 11, 0, 1, 1, 2, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 9, 2, 2, 2, 2, 0, 0, 0, 0, 11, 2, 2, 2, 2, 0, 0, 0, 13, 2, 2, 2, 2, 0, 0, 15, 2, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 7, 2, 2, 2, 2, 1, 1, 1, 0, 0, 9, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 2, 1, 3, 3, 1, 1, 1, 4, 4, 1, 1, 1 ]

[ 1270, 44, 284, 1188, 15798, 36, 619, 15798, 203, 7343, 29986, 44, 284, 1188, 15798, 203, 465, 2322, 203, 465, 17735, 37, 203, 465, 29590, 203, 1070, 47605, 1188, 1359, 203, 1070, 47605, 32, 1199, 1188, 24864, 37, 203, 1070, 47605, 32, 8524, 1188, 3850, 3028, 203, 823, 2108, 1996, 12067, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 9899, 30, 630, 32, 983, 280, 29590, 32, 4765, 270, 957, 346, 284, 665, 28921, 26, 784, 711, 291, 2322, 32, 23754, 26, 784, 32, 983, 27, 284, 665, 894, 81, 10514, 26, 784, 711, 291, 3570, 280, 1359, 32, 890, 1371, 324, 313, 8304, 563, 301, 400, 313, 1199, 983, 563, 2430, 1902, 33, 1693, 392, 400, 313, 1449, 31, 381, 563, 313, 35, 90, 20, 324, 320, 291, 1790, 291, 3082, 280, 24864, 37, 26, 784, 32, 983, 30, 3570, 27, 291, 630, 32, 5299, 26, 1199, 32, 1648, 30, 24864, 37, 32, 3459, 81, 4530, 27, 291, 630, 32, 6549, 26, 1199, 32, 22583, 32, 371, 440, 2848, 31, 678, 392, 32375, 297, 279, 1516, 1157, 284, 665, 894, 81, 2848, 81, 678, 81, 16655, 26, 784, 711, 291, 3570, 280, 1359, 32, 890, 1371, 324, 313, 8304, 563, 301, 400, 313, 1199, 983, 563, 2430, 1902, 33, 1693, 392, 400, 313, 1449, 31, 381, 563, 313, 35, 90, 20, 324, 320, 291, 1790, 291, 3570, 32, 470, 440, 8304, 392, 313, 2848, 31, 678, 392, 313, 5266, 7241, 678, 657, 291, 623, 17735, 37, 32, 3517, 26, 784, 32, 983, 27, 619, 457, 44, 324, 457, 32, 4526, 440, 2978, 1614, 1400, 1256, 81, 1648, 280, 225, 35, 657, 324, 457, 32, 4526, 440, 6037, 4925, 11154, 308, 314, 14035, 11190, 5578, 14451, 291, 3082, 280, 24864, 37, 26, 784, 32, 983, 30, 3570, 27, 291, 630, 32, 5299, 26, 1199, 32, 1648, 30, 24864, 37, 32, 3459, 81, 4530, 27, 291, 630, 32, 5299, 26, 1199, 32, 22583, 32, 371, 440, 2848, 31, 678, 2113, 656, 3570, 32, 371, 440, 8304, 392, 313, 2848, 31, 678, 2131, 291, 3570, 32, 2546, 81, 1762, 440, 8304, 392, 313, 2848, 31, 678, 657, 291, 3082, 280, 24864, 37, 26, 784, 32, 983, 30, 3570, 27, 291, 630, 32, 5299, 26, 1199, 32, 1648, 30, 24864, 37, 32, 3459, 81, 4530, 27, 291, 630, 32, 5299, 26, 1199, 32, 22583, 32, 371, 440, 2848, 31, 678, 2113, 656, 313, 5266, 7241, 678, 657, 284, 665, 894, 81, 3248, 81, 15377, 81, 8680, 26, 784, 711, 291, 4345, 280, 301, 1802, 35, 44, 1665, 30, 1802, 36, 44, 1665, 30, 400, 37, 44, 225, 36, 30, 4511, 38, 44, 225, 37, 30, 4511, 41, 44, 225, 37, 30, 400, 39, 44, 225, 36, 30, 1802, 40, 44, 1665, 291, 320, 291, 623, 17735, 37, 32, 3517, 26, 784, 32, 983, 27, 619, 457, 44, 324, 457, 32, 4526, 440, 2978, 1614, 1400, 1256, 81, 1648, 280, 225, 36, 657, 324, 457, 32, 4526, 440, 6037, 4925, 11154, 2884, 715, 313, 264, 804, 14035, 11190, 5578, 2360, 715, 313 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 3, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 7, 8, 9, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 14, 12, 14, 14, 14, 14, 11, 11, 14, 14, 14, 14, 12, 14, 14, 14, 11, 11, 9, 9, 4, 4, 6, 6, 8, 8, 10, 9, 10, 8, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 13, 12, 13, 11, 12, 11, 13, 13, 13, 13, 11, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 14, 12, 14, 14, 14, 14, 11, 11, 14, 14, 14, 14, 12, 14, 14, 14, 11, 11, 9, 9, 4, 4, 7, 8, 7, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 4, 4, 5, 11, 10, 11, 10, 12, 11, 12, 10, 8, 8, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 8, 8, 10, 9, 10, 8, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 9, 11, 11, 11, 11, 7, 7, 9, 10, 9, 11, 11, 9, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 9, 9, 4, 4, 6, 6, 8, 8, 10, 9, 10, 8, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 9, 11, 11, 11, 11, 7, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 9, 8, 8, 7, 7, 9, 8, 8, 7, 7, 9, 8, 8, 9, 7, 7, 9, 8, 8, 9, 7, 7, 9, 8, 8, 9, 7, 7, 9, 8, 8, 9, 7, 7, 9, 8, 8, 7, 7, 4, 4, 5, 11, 10, 11, 10, 12, 11, 12, 10, 8, 8, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 9, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 10, 10 ]

[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 3, 3, 3, 3, 3, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 0, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 4, 4, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 0, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 0, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 0, 1, 1, 2, 2, 0, 3, 3, 2, 2, 0, 5, 5, 2, 2, 2, 0, 7, 7, 2, 2, 2, 0, 9, 9, 2, 2, 2, 0, 11, 11, 2, 2, 2, 0, 13, 13, 2, 2, 4, 4, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 465, 15798, 203, 465, 5237, 203, 465, 316, 203, 18820, 280, 330, 83, 110, 278, 110, 363, 110, 302, 110, 269, 110, 698, 110, 1170, 110, 272, 110, 979, 110, 325, 110, 266, 110, 1028, 110, 267, 110, 271, 110, 1382, 110, 452, 110, 104, 8169, 47170, 15796, 110, 4849, 8169, 19067, 203, 46371, 935, 280, 7185, 19, 1492, 35130, 23, 24, 25, 33645, 26536, 29, 5437, 1569, 39301, 49, 50, 77, 11468, 1736, 21258, 82, 109, 16839, 112, 12032, 203, 18820, 81, 37602, 280, 316, 32, 6993, 26, 100, 28249, 7846, 101, 9501, 25, 904, 26206, 30, 316, 32, 59, 27, 203, 13338, 81, 27801, 280, 316, 32, 6993, 26, 100, 44860, 83, 31, 15188, 31, 76, 42774, 1674, 83, 31, 15188, 31, 76, 26392, 203, 13686, 81, 38880, 16995, 280, 316, 32, 6993, 26, 100, 21735, 101, 28, 48113, 83, 31, 15188, 31, 76, 6155, 77, 51, 31, 76, 6155, 19067, 904, 447, 1413, 935, 27, 203, 11886, 16838, 280, 316, 32, 6993, 26, 100, 20, 80, 23, 101, 28, 49, 2009, 51, 31, 21948, 31, 108, 1130, 20, 904, 447, 1413, 935, 27, 203, 18820, 81, 16838, 280, 316, 32, 6993, 26, 100, 28249, 7846, 101, 16886, 23, 101, 5421, 84, 25, 904, 308, 46371, 935, 30, 26206, 471, 316, 32, 59, 27, 203, 18820, 81, 14378, 280, 316, 32, 6993, 26, 100, 10255, 84, 7846, 101, 15980, 101, 33113, 25, 904, 308, 18820, 30, 447, 1413, 935, 471, 316, 32, 59, 27, 203, 7100, 4964, 68, 3204, 280, 316, 32, 6993, 26, 100, 25, 2009, 15457, 45, 44294, 1674, 8834, 7846, 101, 9905, 904, 26206, 27, 203, 589, 1780, 1732, 26, 878, 711, 284, 3330, 264, 8153, 280, 316, 32, 2998, 9442, 101, 370, 1344, 27, 284, 1628, 280, 1605, 284, 436, 3594, 328, 8153, 44, 291, 415, 35200, 81, 27801, 32, 1903, 26, 1112, 27, 556, 632, 53, 81, 38880, 16995, 32, 2872, 26, 1112, 711, 324, 1628, 32, 1689, 26, 1112, 27, 324, 4036, 291, 415, 26206, 81, 37602, 32, 2872, 26, 1112, 711, 324, 1628, 32, 1689, 26, 1112, 32, 5729, 1157, 324, 4036, 291, 1628, 32, 1689, 26, 11886, 16838, 32, 1113, 26, 5962, 345, 44, 345, 32, 1363, 26, 34, 547, 7607, 1026, 3594, 490, 284, 1628, 280, 313, 4939, 2524, 26, 928, 27, 284, 1628, 280, 26206, 81, 16838, 32, 1113, 26, 5962, 345, 44, 6611, 101, 23, 101, 25, 904, 308, 291, 345, 32, 1363, 26, 35, 471, 291, 345, 32, 1363, 26, 36, 547, 34399, 346, 284, 2588, 1628, 27, 284, 1628, 280, 26206, 81, 14378, 32, 1113, 26, 5962, 345, 44, 345, 32, 1363, 26, 34, 547, 34399, 1026, 1628, 27, 284, 1628, 280, 10534, 4964, 68, 3204, 32, 1113, 26, 5962, 345, 44, 6611, 101, 23, 101, 25, 904, 308, 291, 345, 32, 1363, 26, 35, 471, 291, 345, 32, 1363, 26, 36, 547, 34399, 346, 284, 2588, 1628, 27, 284, 442, 1628, 203, 823, 1979, 1732, 4470, 26, 18986, 32, 7233, 711, 284, 3330, 264, 665, 894, 81, 99, 81, 363, 81, 83, 26, 784, 711, 291 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 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, 0, 3, 3, 2, 2, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 5, 5, 5, 5, 4, 7, 7, 7, 7, 7, 5, 6, 6, 6, 6, 5, 6, 4, 3, 3, 3, 2, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 3, 2, 5, 5, 5, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 4, 3, 3, 2, 5, 5, 5, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 4, 3, 3, 3, 2, 5, 5, 5, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 6, 6, 6, 5, 6, 4, 3, 3, 3, 2, 5, 5, 5, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 6, 7, 7, 6, 6, 6, 5, 6, 4, 3, 3, 3, 3, 2, 5, 5, 5, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 4, 1, 2, 2, 2, 3, 2, 1, 4, 1, 5, 4, 7, 7, 7, 8, 8, 8, 7, 7, 2, 5, 4, 5, 2, 3, 4, 3, 4, 4, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 8, 5, 10, 10, 10, 10, 10, 10, 6, 7, 4, 5, 8, 8, 8, 8, 8, 8, 8, 7, 5, 10, 10, 10, 10, 12, 12, 12, 11, 6, 7, 4, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 12, 10, 15, 15, 15, 14, 14, 13, 12, 10, 9, 2, 5, 4, 4, 8, 7, 7, 7, 7, 2, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 9, 10, 10, 10, 10, 10, 8, 8, 9, 9, 12, 12, 12, 11, 11, 9, 9, 14, 14, 14, 13, 13, 12, 11, 9, 9, 7, 7, 2, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 9, 7, 12, 12, 12, 11, 11, 10, 9, 7, 7, 2, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 10, 10, 10, 10, 10, 8, 8, 9, 9, 12, 12, 12, 11, 11, 9, 9, 14, 14, 14, 13, 13, 12, 11, 9, 9, 7, 7, 2, 3, 4, 4, 1, 2, 2, 2, 2, 4, 4, 4, 2, 1, 4, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 12, 1, 1, 1, 1, 2, 12, 0, 12, 0, 0, 0, 0, 2, 0, 1, 2, 3, 3, 5, 0, 0, 2, 5, 2, 1, 2, 3, 3, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 3, 1, 5, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 3, 1, 5, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 3, 1, 5, 0, 0, 0, 2, 2, 2, 1, 1, 5, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 3, 3, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 3, 3, 5, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 3, 3, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 3, 3, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 3, 3, 5, 7, 1, 1, 13, 1, 1, 1, 1, 0, 0, 2, 2, 13, 0, 13, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]

[ 465, 5741, 203, 465, 1133, 203, 465, 5589, 203, 1070, 1561, 32, 605, 81, 4156, 32, 48989, 1188, 42602, 203, 1070, 4377, 5410, 1188, 7699, 203, 589, 11214, 81, 363, 81, 10894, 26, 83, 30, 84, 711, 284, 312, 280, 5589, 32, 3034, 2009, 7753, 32, 2754, 103, 26, 106, 27, 436, 816, 328, 312, 614, 225, 34, 27, 284, 323, 280, 5589, 32, 3034, 2009, 7753, 32, 359, 335, 26, 106, 30, 27601, 6593, 35, 27, 436, 816, 328, 323, 614, 225, 34, 27, 284, 442, 312, 474, 323, 203, 589, 6850, 26, 1160, 30, 706, 81, 4554, 711, 284, 273, 81, 1327, 280, 1133, 32, 1003, 346, 284, 1542, 32, 6569, 346, 284, 2080, 81, 5410, 280, 225, 34, 32, 284, 9580, 30, 9580, 81, 8293, 280, 5518, 1605, 284, 11214, 280, 1605, 284, 5941, 280, 1605, 284, 6784, 81, 8293, 280, 1605, 284, 436, 595, 30, 5254, 328, 10703, 26, 605, 81, 4554, 711, 291, 308, 106, 30, 533, 30, 533, 81, 3965, 30, 5254, 81, 3965, 27, 280, 5254, 291, 533, 81, 8293, 280, 1542, 26, 106, 30, 5941, 47, 4432, 81, 3965, 27, 291, 21708, 280, 7699, 26, 107, 81, 8293, 30, 533, 30, 533, 81, 3965, 30, 5254, 81, 3965, 27, 291, 2080, 81, 5410, 280, 2080, 81, 5410, 474, 1897, 26, 7513, 26, 11384, 490, 291, 9580, 32, 1689, 26, 7513, 26, 107, 490, 291, 9580, 81, 8293, 32, 1689, 26, 7513, 26, 107, 81, 8293, 490, 291, 5941, 32, 1689, 26, 7513, 26, 4432, 81, 3965, 490, 291, 11214, 32, 1689, 26, 7513, 26, 10894, 81, 363, 81, 10894, 26, 107, 30, 533, 81, 8293, 2610, 291, 6784, 81, 8293, 32, 1689, 26, 7513, 26, 10894, 81, 363, 81, 10894, 26, 107, 30, 308, 107, 81, 8293, 848, 225, 34, 32, 39, 547, 1808, 28214, 291, 3555, 533, 45, 3555, 533, 81, 8293, 45, 3555, 533, 81, 3965, 45, 3555, 816, 45, 3555, 5254, 81, 3965, 45, 3555, 5254, 284, 2080, 81, 5410, 14374, 2069, 26, 605, 81, 4554, 27, 284, 1245, 2665, 280, 5436, 26, 291, 9580, 47, 3875, 30, 291, 9580, 81, 8293, 47, 3875, 81, 8293, 30, 291, 11214, 47, 10894, 30, 291, 6784, 81, 8293, 47, 10060, 81, 8293, 30, 291, 5941, 47, 3965, 30, 291, 2080, 81, 5410, 47, 1327, 81, 5410, 30, 291, 1542, 47, 1160, 30, 284, 829, 284, 1542, 32, 3239, 346, 284, 273, 35, 47, 1003, 32, 1003, 346, 284, 5741, 32, 1338, 440, 6312, 15652, 28315, 35, 88, 111, 6791, 2296, 1643, 26, 1003, 32, 1003, 346, 429, 273, 81, 1327, 490, 284, 442, 1245, 2665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 10, 9, 10, 10, 9, 10, 9, 7, 8, 8, 8, 7, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 10, 9, 10, 10, 9, 10, 9, 9, 10, 12, 9, 7, 8, 8, 8, 7, 6, 7, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 6, 6, 4, 4, 5, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 6, 5, 3, 3, 8, 7, 7, 7, 7, 8, 8, 7, 7, 8, 8, 7, 6, 6, 4, 4, 7, 7, 6, 6, 8, 9, 8, 8, 9, 10, 10, 10, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 9, 11, 11, 12, 11, 4, 4, 7, 8, 7, 9, 9, 10, 9, 4, 4, 8, 8, 7, 8, 7, 9, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 11, 11, 11, 11, 11, 11, 12, 11, 11, 12, 12, 11, 4, 4, 8, 8, 7, 8, 7, 9, 9, 11, 11, 11, 11, 11, 11, 12, 11, 11, 16, 16, 16, 15, 15, 16, 16, 16, 14, 14, 13, 4, 4, 5, 4, 4, 5, 6, 6, 4, 4, 5, 6, 6, 4, 4, 5, 4, 4, 5, 6, 6, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 4, 4, 6, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 8, 8, 8, 6, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 8, 8, 8, 6, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 8, 8, 8, 6, 6, 6, 7, 8, 6, 6, 6, 2, 2, 5, 6, 5, 2, 2, 5, 4, 7, 6, 7, 6, 2, 2, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 11, 10, 11, 10, 8, 8, 9, 9, 7, 2, 2, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 2, 2, 1, 4, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 3, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 2, 1, 1, 0, 6, 6, 2, 1, 2, 2, 3, 3, 2, 6, 6, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 7, 1, 1, 7, 7, 1, 1, 1, 1, 1, 7, 7, 1, 0, 0, 0, 0, 5, 5, 0, 0, 7, 7, 0, 0, 0, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 7, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 5, 5, 0, 2, 1, 0, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 0, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 5, 5, 9, 5, 5, 11, 1, 1, 5, 5, 13, 1, 1, 5, 5, 15, 5, 5, 17, 1, 1, 5, 5, 19, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 5, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 9, 2, 1, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 1, 13, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 4, 4, 13, 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 ]

[ 823, 4354, 19543, 26, 1473, 711, 203, 202, 97, 280, 1665, 203, 202, 1819, 47, 2521, 203, 202, 25942, 47, 2521, 1659, 202, 96, 4078, 47, 2521, 1659, 202, 589, 1156, 1664, 3207, 784, 30, 605, 711, 357, 202, 465, 2361, 357, 202, 1793, 2156, 440, 1771, 9708, 101, 8501, 2859, 32, 1260, 20, 904, 706, 710, 426, 3490, 619, 2361, 81, 761, 44, 355, 202, 784, 32, 97, 280, 2361, 32, 944, 26, 1260, 81, 761, 39336, 1473, 785, 357, 202, 784, 32, 25942, 47, 64, 7580, 26, 630, 829, 357, 202, 784, 32, 96, 4078, 47, 15619, 57, 26, 630, 829, 203, 202, 589, 19979, 26, 784, 711, 357, 202, 784, 32, 96, 4078, 32, 18554, 26, 313, 12575, 1672, 636, 438, 904, 101, 30, 11578, 9619, 436, 6892, 597, 11555, 904, 630, 32, 97, 710, 426, 785, 829, 357, 202, 784, 32, 12220, 346, 203, 202, 589, 17051, 26, 784, 711, 357, 202, 784, 32, 96, 4078, 32, 18554, 26, 5461, 101, 439, 2318, 844, 1159, 4717, 11555, 904, 630, 32, 97, 710, 13599, 785, 829, 357, 202, 784, 32, 12220, 346, 203, 202, 589, 14884, 26, 784, 711, 357, 202, 1270, 44, 355, 202, 784, 32, 96, 4078, 32, 18554, 26, 313, 59, 3860, 20498, 13585, 829, 355, 202, 465, 5237, 355, 202, 1070, 2192, 1188, 2192, 355, 202, 5457, 280, 225, 35, 34, 34, 34, 34, 8667, 202, 100, 668, 30, 4950, 617, 280, 2192, 2009, 3731, 32, 21633, 614, 5518, 5518, 5868, 27, 355, 202, 325, 540, 668, 44, 603, 202, 101, 280, 5237, 32, 21633, 32, 25637, 922, 7201, 346, 603, 202, 784, 32, 2416, 26, 101, 27, 603, 202, 784, 32, 12220, 346, 355, 202, 1824, 44, 603, 202, 784, 32, 96, 4078, 32, 18554, 26, 313, 2023, 1509, 32, 13516, 1741, 13585, 829, 12494, 202, 784, 32, 11765, 332, 346, 603, 202, 784, 32, 12220, 346, 355, 202, 601, 357, 202, 7343, 44, 355, 202, 784, 32, 96, 4078, 32, 751, 26, 313, 8534, 2037, 15380, 12220, 20, 829, 203, 202, 589, 46953, 26, 784, 26477, 1132, 38747, 5321, 711, 357, 202, 784, 32, 96, 4078, 32, 751, 26, 313, 11765, 332, 20, 829, 357, 202, 1270, 44, 355, 202, 983, 280, 330, 1771, 9708, 101, 33, 25833, 33, 27360, 25, 904, 630, 32, 97, 710, 426, 785, 355, 202, 465, 5237, 355, 202, 3731, 32, 983, 32, 1689, 26, 1519, 829, 355, 202, 2795, 81, 10340, 280, 1156, 465, 3207, 330, 11765, 332, 25, 829, 355, 202, 2795, 81, 10340, 32, 1945, 26, 784, 30, 983, 27, 357, 202, 7343, 3268, 44, 355, 202, 784, 32, 96, 4078, 32, 751, 26, 313, 32984, 5650, 1757, 17448, 11555, 829, 357, 202, 601, 15773, 202, 6446, 19066, 1659, 202, 589, 2164, 26, 784, 30, 11722, 30, 22485, 47, 2521, 30, 29203, 47, 2521, 711, 357, 202, 784, 32, 1819, 47, 1222, 26, 630, 30, 2471, 829, 4512, 202, 784, 32, 6446, 32, 1689, 26, 11722, 27, 357, 202, 4068, 280, 2471, 32, 2998, 26, 2521, 27, 357, 202, 325, 2069, 26, 4068, 19162, 35 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 2, 2, 5, 4, 5, 2, 2, 5, 4, 5, 2, 2, 5, 5, 4, 5, 2, 2, 3, 3, 4, 4, 5, 4, 5, 4, 3, 3, 5, 5, 4, 4, 5, 5, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 14, 14, 8, 8, 10, 10, 5, 5, 5, 10, 9, 10, 8, 8, 11, 12, 11, 12, 12, 12, 11, 11, 11, 4, 4, 8, 7, 8, 6, 8, 8, 8, 8, 8, 4, 4, 8, 7, 8, 8, 6, 8, 8, 8, 8, 8, 2, 2, 3, 3, 4, 5, 4, 3, 3, 9, 8, 9, 9, 7, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 9, 11, 11, 7, 4, 4, 8, 7, 8, 7, 2, 2, 3, 3, 4, 5, 4, 3, 3, 9, 8, 9, 9, 7, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 9, 11, 11, 7, 4, 4, 8, 7, 8, 7, 2, 2, 3, 3, 4, 5, 4, 3, 3, 5, 5, 5, 5, 11, 10, 11, 11, 9, 10, 9, 9, 11, 11, 11, 11, 9, 6, 6, 7, 7, 6, 6, 7, 7, 7, 7, 6, 6, 9, 8, 8, 9, 9, 9, 9, 9, 6, 6, 10, 10, 9, 9, 9, 8, 8, 10, 13, 12, 13, 11, 10, 10, 10, 10, 6, 6, 7, 7, 8, 7, 7, 7, 11, 10, 10, 15, 16, 14, 15, 14, 13, 12, 8, 8, 12, 11, 12, 11, 12, 11, 8, 8, 12, 11, 12, 11, 7, 7, 8, 8, 8, 8, 14, 13, 14, 14, 12, 13, 12, 12, 14, 14, 14, 14, 14, 14, 12, 9, 9, 13, 12, 13, 13, 12, 9, 9, 13, 12, 13, 12, 6, 6, 7, 5, 5, 6, 6, 6, 6, 12, 11, 12, 12, 10, 11, 10, 10, 12, 12, 12, 12, 12, 10, 2, 2, 3, 3, 4, 5, 4, 6, 4, 6, 4, 3, 3, 9, 8, 9, 9, 7, 8, 7, 7, 9, 9, 9, 7, 4, 4, 5, 5, 5, 5, 9, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 12, 10, 12, 12, 6, 6, 7, 7, 6, 6, 11, 10, 11, 9, 10, 9, 9, 9, 6, 6, 9, 9, 9, 8, 8, 10, 10, 10, 12, 12, 12, 10, 6, 6, 10, 10, 10, 9, 10, 9, 10, 9, 10, 9, 5, 5, 6, 6, 6, 6, 6, 12, 11, 12, 12, 10, 11, 10, 10, 12, 12, 12, 12, 12, 10, 4, 4, 5, 2, 2, 5, 4, 2, 2, 3, 3, 4, 5, 4, 5, 4, 6, 5, 6, 4, 6, 5, 6, 4, 3, 3, 8, 7, 8, 6, 8, 8, 8, 8, 8, 8, 4, 4, 9, 8, 9, 7, 8, 7, 8, 7, 4, 4, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 5, 8, 9, 8, 7 ]

[ 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 4, 4, 1, 1, 1, 2, 3, 2, 4, 4, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 4, 4, 5, 5, 2, 1, 2, 5, 5, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 6, 6, 2, 1, 2, 6, 6, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 7, 7, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 5, 5, 1, 5, 5, 5, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 3, 3, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 5, 5, 4, 4, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 6, 0, 0, 3, 3, 3, 3, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 8, 8, 2, 1, 2, 1, 2, 1, 2, 8, 8, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 3, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 4, 4, 0, 0, 4, 4, 10, 10, 2, 1, 2, 3, 2, 0, 5, 2, 2, 0, 7, 2, 2, 10, 10, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 3, 1, 1, 1, 2 ]

[ 1070, 20803, 32, 407, 1188, 6350, 203, 1070, 638, 2304, 32, 6172, 81, 30875, 1188, 4376, 203, 465, 38576, 525, 203, 465, 4159, 203, 465, 2322, 203, 465, 316, 203, 1270, 44, 284, 645, 35381, 1188, 4361, 30, 4361, 2886, 30, 4361, 3713, 284, 35381, 280, 2933, 203, 7343, 44, 284, 35381, 280, 3177, 203, 823, 44519, 500, 1950, 44, 284, 665, 1156, 1664, 3207, 784, 30, 7361, 711, 291, 630, 32, 2195, 280, 7361, 291, 630, 32, 2848, 280, 38576, 525, 32, 1486, 3135, 346, 284, 477, 7621, 32, 2501, 26, 426, 347, 19252, 97, 392, 3097, 81, 1819, 47, 1815, 30, 1289, 81, 4911, 47, 1815, 27, 284, 477, 7621, 32, 331, 1455, 875, 26, 35, 34, 30, 225, 40, 34, 30, 6350, 32, 9001, 620, 32, 496, 27, 284, 2498, 665, 617, 19252, 500, 1950, 26, 784, 30, 3692, 30, 9305, 2596, 44, 596, 711, 291, 2470, 280, 5053, 1240, 31, 6143, 950, 330, 24258, 33, 39, 32, 34, 308, 2839, 18389, 225, 35, 34, 32, 34, 45, 13378, 40, 38, 45, 816, 40, 38, 27, 330, 1750, 330, 17953, 25723, 33, 39, 37, 41, 32, 37, 40, 308, 31966, 30, 456, 426, 87, 26297, 27, 330, 1750, 330, 18098, 33, 40, 41, 32, 34, 32, 37, 37, 43, 40, 32, 43, 43, 19495, 33, 39, 37, 41, 32, 37, 40, 6040, 291, 39842, 280, 3037, 5270, 392, 313, 1349, 31625, 392, 313, 300, 15920, 392, 313, 85, 9993, 392, 313, 45359, 392, 353, 313, 1848, 1704, 392, 313, 374, 8963, 392, 313, 545, 271, 23450, 392, 313, 101, 481, 14916, 48846, 392, 313, 3625, 3936, 6112, 392, 353, 313, 44451, 48846, 392, 313, 29749, 1091, 1446, 291, 663, 17855, 81, 1333, 101, 280, 3037, 1271, 392, 313, 1704, 269, 392, 313, 17395, 392, 313, 29563, 392, 313, 39388, 392, 313, 102, 20690, 392, 656, 313, 20796, 392, 313, 90, 11573, 392, 313, 38618, 392, 313, 290, 31956, 392, 313, 14612, 392, 313, 43085, 1446, 291, 24893, 97, 81, 3481, 280, 3447, 26109, 563, 313, 641, 555, 1499, 32, 19252, 500, 1950, 32, 508, 33, 352, 33, 19252, 500, 12923, 33, 26109, 33, 19252, 500, 1950, 31, 26109, 31, 18779, 31, 16003, 32, 12848, 49, 1333, 12614, 5556, 313, 18779, 563, 313, 641, 555, 1499, 32, 19252, 500, 1950, 32, 508, 33, 352, 33, 19252, 500, 12923, 33, 8304, 33, 19252, 500, 1950, 31, 8304, 31, 18779, 31, 16003, 32, 12848, 49, 1333, 12614, 5556, 313, 42220, 563, 313, 525, 555, 1499, 32, 19252, 500, 1950, 32, 508, 33, 352, 33, 19252, 500, 12923, 33, 42220, 33, 19252, 500, 1950, 31, 42220, 31, 18779, 31, 16003, 32, 12848, 49, 1333, 347, 111, 291, 9667, 280, 428, 276, 3778, 2008, 26, 443, 4083, 770, 1492, 9330, 1563, 12456, 82, 6603, 10228, 46, 5272, 2008, 48, 429, 6262, 80, 82, 6603, 49, 5421, 96, 1446, 291, 30034, 280, 2706, 96, 78, 101, 22189, 291, 1596, 44, 324, 24893, 500, 280, 2596, 32, 2998, 12573, 11134, 324, 1418, 280, 24893, 500, 77, 34, 79, 324, 24893, 500, 32, 2546, 26, 1621, 27 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 4, 3, 4, 4, 4, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 5, 2, 2, 4, 4, 1, 2, 2, 2, 2, 5, 5, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 9, 8, 9, 9, 8, 2, 2, 7, 6, 7, 6, 8, 7, 9, 9, 9, 6, 8, 8, 7, 8, 6, 6, 8, 8, 7, 8, 6, 3, 3, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 7, 7, 6, 6, 8, 9, 9, 7, 8, 6, 3, 3, 4, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 7, 7, 11, 11, 11, 11, 9, 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, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 7, 7, 10, 10, 8, 10, 10, 10, 8, 10, 10, 10, 8, 10, 10, 10, 8, 10, 10, 8, 8, 10, 10, 10, 8, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 8, 10, 10, 10, 8, 10, 10, 10, 5, 5, 8, 8, 8, 8, 7, 7, 10, 10, 8, 10, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 10, 8, 8, 10, 10, 8, 10, 10, 10, 8, 10, 10, 8, 10, 10, 10, 8, 10, 10, 8, 10, 10, 5, 5, 8, 8, 8, 7, 7, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 5, 5, 7, 7, 8, 8, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 5, 5, 7, 7, 10, 9, 9, 9, 5, 5, 6, 6, 6, 10, 9, 9, 11, 12, 11, 13, 7, 7, 9, 9, 11, 10, 11, 10, 7, 7, 11, 10, 11, 10, 11, 10 ]

[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 6, 3, 3, 3, 3, 0, 0, 0, 7, 7, 1, 1, 7, 7, 7, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 1, 3, 3, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 2, 2, 5, 2, 1, 1, 1, 2, 2, 2, 2, 2, 3, 1, 3, 3, 3, 3, 3, 7, 7, 3, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 5, 5, 0, 0, 0, 1, 1, 1, 5, 5, 6, 6, 6, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1 ]

[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 465, 35094, 203, 1070, 6436, 32, 1262, 32, 10125, 1188, 308, 284, 7976, 30, 619, 1813, 955, 30, 2099, 682, 30, 22483, 30, 10761, 81, 2228, 30, 22213, 30, 11668, 30, 284, 619, 955, 30, 2154, 30, 629, 42, 30, 629, 35, 40, 30, 629, 37, 36, 30, 629, 40, 38, 30, 3502, 30, 19133, 81, 2516, 30, 27601, 30, 284, 2979, 6158, 284, 829, 203, 1070, 6436, 32, 1262, 1188, 20006, 203, 1070, 6436, 32, 1262, 1188, 595, 1338, 30, 27224, 203, 505, 464, 505, 280, 428, 284, 330, 13006, 370, 330, 13006, 6849, 370, 330, 14748, 370, 330, 88, 374, 557, 100, 370, 330, 16243, 836, 370, 330, 2754, 370, 330, 2754, 103, 370, 284, 330, 359, 335, 370, 330, 104, 19173, 370, 330, 22161, 36, 86, 370, 330, 3965, 81, 7711, 370, 330, 359, 335, 81, 7711, 370, 284, 330, 359, 335, 81, 7711, 81, 1070, 370, 330, 2754, 103, 81, 7711, 370, 330, 2754, 103, 81, 7711, 81, 1070, 370, 1481, 203, 955, 81, 1126, 81, 7147, 280, 35094, 32, 9865, 26, 284, 20006, 32, 955, 81, 1126, 81, 7147, 30, 2297, 1057, 10337, 683, 203, 91, 35, 280, 595, 1338, 26, 410, 42, 27, 203, 91, 36, 280, 595, 1338, 26, 410, 35, 40, 27, 203, 91, 38, 280, 595, 1338, 26, 410, 37, 36, 27, 203, 589, 617, 887, 81, 410, 26, 741, 30, 3857, 711, 284, 415, 3857, 2511, 595, 35, 32, 1449, 461, 7461, 2377, 595, 35, 32, 887, 44, 291, 442, 629, 42, 284, 415, 3857, 2511, 595, 36, 32, 1449, 461, 7461, 2377, 595, 36, 32, 887, 44, 291, 442, 629, 35, 40, 284, 415, 3857, 2511, 595, 38, 32, 1449, 461, 7461, 2377, 595, 38, 32, 887, 44, 291, 442, 629, 37, 36, 284, 442, 629, 40, 38, 203, 589, 617, 16243, 81, 19059, 26, 95, 711, 284, 442, 308, 95, 21713, 203, 50, 955, 81, 1126, 81, 7147, 2176, 16243, 81, 19059, 27, 203, 589, 296, 374, 557, 100, 26, 95, 711, 284, 345, 280, 619, 1813, 955, 26, 95, 27, 284, 415, 345, 32, 29704, 333, 225, 36, 44, 291, 3636, 10091, 440, 1612, 2298, 526, 2377, 225, 36, 31, 86, 7144, 284, 442, 345, 6894, 2037, 31, 35, 79, 203, 50, 955, 81, 1126, 81, 7147, 2176, 16243, 81, 19059, 27, 203, 589, 19567, 836, 26, 95, 711, 284, 345, 280, 619, 1813, 955, 26, 95, 27, 284, 415, 345, 32, 29704, 333, 225, 35, 44, 291, 3636, 10091, 440, 1612, 2298, 526, 2377, 225, 35, 31, 86, 7144, 284, 442, 345, 77, 23523, 35, 30, 44878, 203, 589, 25397, 26, 64, 30, 488, 47, 2521, 30, 831, 47, 34, 30, 9710, 47, 1808, 30, 2532, 1057, 53, 7831, 284, 415, 488, 438, 1665, 44, 291, 488, 280, 489, 284, 345, 280, 22483, 1162, 64, 30, 488, 471, 9710, 47, 12010, 30, 2532, 47, 1174, 27, 284, 415, 831, 2377, 488, 44, 291, 442, 345, 284, 415, 831, 2377, 225, 34, 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, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 7, 7, 0, 3, 3, 2, 2, 4, 4, 5, 5, 4, 0, 3, 3, 2, 2, 4, 4, 5, 5, 5, 4, 0, 3, 3, 2, 2, 4, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 5, 7, 6, 7, 4, 4, 5, 5, 7, 6, 7, 3, 3, 3, 5, 6, 2, 2, 3, 5, 5, 7, 6, 7, 4, 4, 5, 5, 7, 6, 7, 3, 3, 3, 5, 6, 6, 2, 2, 3, 5, 5, 7, 6, 7, 4, 4, 5, 5, 7, 6, 7, 3, 3, 3, 5, 6, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 4, 0, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 5, 5, 7, 7, 7, 8, 7, 3, 3, 4, 6, 7, 5, 5, 6, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 7, 8, 5, 0, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 1, 2, 2, 3, 3, 4, 3, 2, 2, 5, 5, 7, 7, 7, 8, 7, 3, 3, 4, 6, 7, 5, 5, 6, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 6, 8, 5, 5, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 5, 5, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 2, 2, 4, 4, 6, 8, 7, 7, 7, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 2, 2, 3, 4, 4, 5, 3, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 4, 4, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 4, 4, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 4, 4, 3, 1, 1, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 12, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 13, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 2, 1, 1, 1, 0, 14, 14, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 1, 2, 14, 14, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 4, 4, 3, 1, 1, 2, 3, 3 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 32625, 32, 4266, 1188, 32625, 858, 203, 465, 12500, 203, 24411, 32, 539, 440, 15847, 657, 261, 203, 465, 4395, 203, 465, 6436, 619, 2065, 203, 1070, 2156, 81, 419, 673, 32, 2958, 32, 87, 1837, 1188, 743, 833, 282, 1369, 203, 1070, 2156, 81, 419, 673, 32, 2958, 32, 87, 1837, 1188, 743, 833, 282, 1369, 81, 8979, 2265, 203, 1070, 2156, 81, 419, 673, 32, 2958, 32, 87, 1837, 1188, 8745, 203, 465, 3619, 419, 673, 203, 823, 2752, 833, 282, 1369, 44621, 1006, 26, 41827, 858, 32, 7233, 711, 334, 477, 3613, 32, 2675, 4912, 101, 32, 32171, 282, 1369, 81, 8979, 2265, 32, 6073, 20, 904, 1156, 426, 8223, 334, 665, 894, 81, 3399, 81, 1295, 81, 4849, 81, 4893, 26, 784, 30, 4395, 81, 6073, 711, 284, 4181, 280, 3619, 419, 673, 32, 944, 81, 4873, 81, 3626, 440, 4873, 81, 100, 1069, 657, 284, 10388, 1719, 81, 11278, 280, 8745, 32, 3626, 81, 7007, 29067, 81, 955, 26, 3626, 27, 284, 4950, 10388, 1719, 81, 11278, 280, 8745, 32, 297, 81, 37732, 81, 4873, 81, 3626, 26, 7007, 1719, 81, 11278, 27, 284, 10388, 29067, 81, 586, 81, 90, 385, 81, 1643, 280, 8745, 32, 1553, 81, 7007, 29067, 81, 586, 81, 90, 385, 26, 7007, 1719, 81, 11278, 27, 284, 7377, 280, 225, 35, 87, 36, 284, 4950, 4950, 8316, 30, 1929, 81, 16845, 30, 1929, 81, 466, 1966, 81, 462, 81, 23776, 280, 78, 291, 743, 833, 282, 1369, 32, 7924, 26, 7007, 1719, 81, 11278, 30, 7377, 47, 4893, 27, 284, 37004, 81, 5919, 280, 8745, 32, 371, 81, 48224, 81, 3959, 81, 5919, 26, 7007, 1719, 81, 11278, 30, 15607, 10388, 29067, 81, 586, 81, 90, 385, 81, 1643, 27, 284, 1929, 81, 3235, 17480, 280, 2069, 26, 7007, 1719, 81, 11278, 27, 284, 8316, 81, 668, 280, 2065, 32, 2951, 1162, 1516, 81, 16845, 30, 225, 34, 490, 284, 7377, 81, 668, 280, 1605, 284, 436, 617, 328, 2155, 26, 36, 711, 397, 8316, 81, 668, 280, 2065, 32, 1689, 26, 1295, 81, 668, 30, 2065, 32, 12091, 26, 1295, 30, 7197, 35, 30, 225, 35, 3662, 6013, 47, 35, 27, 397, 7377, 81, 668, 32, 1689, 26, 4893, 27, 284, 743, 833, 282, 1369, 81, 8979, 2265, 32, 3399, 81, 1295, 81, 4849, 81, 4893, 26, 291, 8316, 81, 668, 32, 70, 30, 291, 7377, 81, 668, 30, 291, 1929, 81, 3235, 17480, 30, 291, 1929, 81, 466, 1966, 81, 462, 81, 23776, 30, 291, 37004, 81, 5919, 30, 291, 1929, 81, 466, 1966, 81, 452, 81, 1172, 47, 34, 27, 284, 630, 32, 6549, 26, 3613, 81, 6073, 32, 2245, 32, 10910, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 334, 32625, 858, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]

[ 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, 3, 0, 1, 1, 0, 4, 3, 4, 3, 5, 5, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 7, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 7, 7, 9, 10, 10, 10, 10, 10, 10, 9, 10, 9, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 9, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 9, 5, 5, 7, 7, 8, 8, 8, 5, 5, 8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 10, 10, 10, 9, 10, 9, 10, 10, 10, 10, 9, 9, 10, 11, 9, 5, 5, 8, 8, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 5, 5, 8, 8, 8, 7, 7, 9, 10, 10, 10, 10, 9, 5, 5, 8, 8, 7, 7, 9, 10, 9, 11, 11, 11, 10, 10, 11, 10, 5, 5, 8, 8, 7, 7, 5, 5, 6, 6, 6, 8, 9, 8, 6, 6, 10, 10, 9, 9, 11, 12, 11, 12, 12, 12, 11, 11, 13, 14, 13, 14, 13, 13, 16, 14, 14, 15, 14, 11, 12, 13, 11, 7, 7, 11, 11, 10, 11, 10, 11, 10, 5, 5, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 9, 9, 8, 8, 8, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 9, 10, 8, 5, 5, 8, 9, 8, 11, 11, 11, 10, 11, 9, 10, 8, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 6, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 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, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 2, 0, 0, 6, 6, 0, 7, 7, 1, 1, 0, 8, 8, 0, 0, 0, 1, 2, 1, 4, 4, 8, 8, 0, 0, 0, 0, 9, 9, 0, 0, 0, 1, 2, 1, 4, 4, 9, 9, 0, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 0, 1, 2, 1, 4, 4, 10, 10, 0, 11, 11, 0, 0, 0, 12, 12, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 12, 12, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 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, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 4, 4, 10, 10, 10, 1, 1, 1, 10, 10, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 5, 2, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 5, 5, 5, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 9, 9, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 11, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 13, 13, 0, 0, 1, 1, 1, 1, 13, 13, 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 ]

[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 2957, 32, 11400, 1188, 15103, 30, 2305, 30, 1984, 203, 1070, 8527, 32, 2957, 32, 11400, 32, 1574, 1188, 907, 203, 1070, 8527, 32, 4338, 32, 9947, 1188, 10838, 1074, 203, 1070, 8527, 32, 12023, 1188, 5605, 203, 2300, 32, 4846, 431, 297, 4094, 346, 203, 965, 15719, 280, 15103, 22869, 284, 1984, 26, 100, 28249, 37143, 291, 330, 3707, 32, 4338, 32, 5546, 370, 291, 636, 347, 2833, 2113, 284, 1984, 26, 100, 28249, 7468, 9764, 370, 291, 10838, 1074, 32, 302, 81, 1071, 26, 2387, 81, 426, 1057, 5646, 33, 7468, 32, 916, 1425, 291, 636, 347, 7468, 2113, 284, 1984, 26, 100, 28249, 19022, 9764, 370, 291, 10838, 1074, 32, 302, 81, 1071, 26, 2387, 81, 426, 1057, 5646, 33, 19022, 32, 916, 1425, 291, 636, 347, 19022, 2113, 284, 1984, 26, 100, 28249, 11604, 9764, 370, 291, 10838, 1074, 32, 302, 81, 1071, 26, 2387, 81, 426, 1057, 5646, 33, 11604, 32, 916, 1425, 291, 636, 347, 11604, 2113, 284, 1984, 26, 100, 28249, 15765, 2411, 3528, 9764, 370, 291, 10838, 1074, 32, 302, 81, 1071, 26, 2387, 81, 426, 1057, 5646, 33, 15765, 2411, 3528, 32, 916, 1425, 291, 636, 347, 15765, 2411, 3528, 2113, 284, 1984, 26, 100, 28249, 13606, 9764, 370, 291, 10838, 1074, 32, 302, 81, 1071, 26, 2387, 81, 426, 1057, 5646, 33, 13606, 32, 916, 1425, 291, 636, 347, 13606, 2113, 284, 1984, 26, 100, 28249, 2300, 13093, 2305, 26, 2300, 32, 2851, 32, 11400, 3662, 284, 1984, 26, 100, 28249, 3707, 13093, 2305, 440, 3707, 32, 11400, 392, 3583, 347, 3707, 12941, 284, 1984, 26, 100, 28249, 12892, 13093, 2305, 463, 464, 2393, 32, 11400, 13356, 284, 1984, 26, 100, 28249, 9701, 13093, 2305, 463, 9701, 32, 11400, 13356, 284, 1984, 26, 100, 28249, 5646, 13093, 2305, 440, 96, 417, 8522, 32, 11400, 392, 3583, 347, 96, 417, 8522, 12941, 203, 27, 474, 907, 26, 3550, 32, 21512, 81, 2413, 30, 1825, 81, 2388, 47, 3550, 32, 21512, 81, 7789, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 4, 3, 4, 4, 4, 4, 3, 0, 3, 3, 2, 2, 5, 5, 5, 7, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 8, 10, 10, 5, 5, 7, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 9, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 7, 7, 8, 10, 10, 5, 5, 7, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 9, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 7, 7, 8, 10, 10, 5, 5, 7, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 9, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 7, 7, 8, 10, 10, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 9, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 8, 10, 10, 10, 10, 5, 5, 7, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 9, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 7, 7, 8, 10, 10, 5, 5, 7, 9, 9, 9, 9, 7, 9, 12, 11, 12, 10, 11, 9, 5, 5, 7, 9, 9, 9, 9, 7, 9, 11, 11, 11, 11, 9, 10, 12, 12, 5, 5, 7, 9, 9, 9, 9, 7, 9, 11, 11, 11, 11, 11, 5, 5, 7, 9, 9, 9, 9, 7, 9, 11, 11, 11, 11, 5, 5, 7, 9, 9, 9, 9, 7, 9, 11, 11, 11, 11, 11, 11, 9, 10, 12, 12, 12, 12, 5, 5, 3, 3, 5, 7, 6, 7, 7, 7, 5, 5, 7, 7, 6, 8, 7, 8, 8, 8, 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 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 343, 2632, 203, 465, 4395, 203, 1070, 2322, 315, 81, 2304, 1188, 1133, 2304, 203, 1070, 281, 15130, 1188, 4684, 203, 1070, 281, 15130, 32, 4882, 32, 2243, 1188, 11152, 81, 5176, 203, 1070, 281, 15130, 32, 4882, 32, 2243, 1188, 4684, 619, 894, 81, 5740, 203, 1070, 281, 15130, 1188, 8745, 203, 589, 617, 371, 81, 9211, 81, 34652, 2262, 284, 442, 5053, 2848, 950, 4395, 32, 34652, 32, 2848, 30, 324, 330, 426, 81, 2872, 81, 2649, 950, 4395, 32, 34652, 32, 426, 81, 2872, 81, 2649, 30, 324, 330, 850, 81, 11965, 950, 4395, 32, 34652, 32, 850, 81, 11965, 30, 324, 330, 371, 81, 4255, 950, 4395, 32, 34652, 32, 371, 81, 4255, 30, 324, 330, 4255, 81, 1367, 950, 4395, 32, 34652, 32, 4255, 81, 1367, 30, 324, 330, 426, 950, 4395, 32, 34652, 32, 426, 30, 324, 330, 7003, 950, 4395, 32, 34652, 32, 7003, 30, 324, 330, 297, 81, 417, 950, 4395, 32, 34652, 32, 297, 81, 417, 30, 324, 330, 7073, 950, 4395, 32, 34652, 32, 7073, 30, 324, 330, 7073, 81, 10354, 950, 4395, 32, 34652, 32, 7073, 81, 10354, 30, 324, 330, 22745, 81, 9217, 265, 950, 4395, 32, 34652, 32, 22745, 81, 9217, 265, 30, 324, 330, 2135, 81, 38570, 950, 4395, 32, 34652, 32, 2135, 81, 38570, 30, 324, 330, 1516, 81, 15934, 950, 4395, 32, 34652, 32, 1516, 81, 15934, 30, 324, 330, 426, 81, 2872, 81, 2649, 950, 4395, 32, 34652, 32, 426, 81, 2872, 81, 2649, 30, 324, 330, 1516, 81, 1746, 81, 15934, 950, 4395, 32, 34652, 32, 1516, 81, 1746, 81, 15934, 111, 203, 50, 583, 102, 32, 583, 102, 203, 823, 2108, 4607, 26, 858, 81, 5740, 32, 1761, 6692, 7233, 711, 284, 4904, 280, 11152, 81, 5176, 32, 9539, 81, 5176, 81, 494, 346, 284, 477, 3613, 32, 2675, 463, 85, 15130, 32, 1199, 32, 41204, 32, 1237, 32, 5176, 81, 371, 370, 442, 81, 853, 47, 5176, 27, 284, 665, 894, 81, 371, 81, 1170, 81, 314, 26, 784, 30, 4904, 81, 371, 81, 3613, 711, 291, 10582, 280, 617, 371, 81, 9211, 81, 34652, 346, 291, 4904, 280, 4684, 32, 4607, 32, 371, 81, 1170, 81, 314, 26, 784, 32, 1819, 30, 3391, 4395, 32, 34652, 32, 5176, 81, 314, 30, 3391, 1115, 9211, 27, 291, 630, 32, 25839, 1810, 26, 5176, 30, 4684, 32, 4607, 27, 291, 630, 1114, 6055, 26, 784, 30, 630, 32, 5176, 30, 4904, 27, 291, 4904, 81, 371, 81, 3613, 32, 862, 81, 10910, 81, 8232, 81, 1793, 26, 784, 32, 1819, 30, 2270, 4395, 32, 34652, 32, 5176, 81, 314, 30, 2270, 1115, 9211, 27, 284, 477, 3613, 32, 2675, 463, 85, 15130, 32, 1199, 32, 41204, 32, 1237, 32, 5176, 81, 1297, 370, 400, 442, 81, 853, 47, 5176, 27, 284, 665, 894, 81, 1297, 26, 784, 30, 4904, 81, 1297, 81, 3613, 711, 291, 4904, 280, 4684, 32, 4607, 26, 1819, 47, 784, 32, 1819, 30, 636, 1057, 5176, 81, 426, 683, 291, 4904, 32, 1297, 346, 291, 630, 32, 5299 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 7, 7, 5, 7, 8, 6, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 5, 7, 8, 6, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 5, 7, 8, 6, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 5, 7, 8, 6, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 5, 7, 8, 6, 7, 7, 7, 4, 4, 4, 7, 7, 5, 7, 8, 6, 7, 4, 4, 4, 7, 7, 5, 7, 8, 6, 7, 4, 4, 4, 7, 7, 7, 7, 5, 7, 8, 6, 7, 7, 7, 4, 4, 4, 7, 7, 5, 7, 8, 6, 7, 4, 4, 4, 7, 7, 7, 7, 5, 7, 8, 6, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 7, 5, 7, 8, 6, 7, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 5, 7, 8, 6, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 5, 7, 8, 6, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 5, 7, 8, 6, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 5, 7, 8, 6, 7, 7, 7, 7, 7, 4, 0, 2, 4, 4, 3, 4, 4, 1, 2, 2, 3, 3, 5, 5, 5, 4, 5, 5, 5, 3, 2, 2, 5, 5, 8, 8, 7, 8, 8, 8, 8, 8, 7, 3, 3, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 8, 9, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 6, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 11, 12, 10, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 10, 10, 12, 13, 11, 12, 12, 12, 10, 10, 10, 12, 10, 6, 6, 9, 10, 10, 9, 10, 9, 9, 10, 11, 9, 6, 6, 9, 10, 9, 10, 9, 9, 10, 11, 9, 9, 9, 6, 6, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 9, 11, 10, 11, 9, 9, 9, 11, 12, 10, 11, 11, 11, 9, 9, 9, 11, 9, 3, 3, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 9, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 6, 5, 5, 8, 8, 10, 11, 10, 12, 11, 13, 12, 13, 10, 10, 11, 13, 13, 13, 13, 6, 6, 9, 10, 9, 6, 6, 9, 10 ]

[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 3, 3, 2, 2, 0, 6, 6, 0, 6, 6, 0, 7, 7, 1, 1, 1, 1, 1, 2, 7, 7, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 7, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 9, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 11, 0, 2, 2, 2, 1, 1, 1, 1, 2, 13, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 15, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 17, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 19, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 21, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 23, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 25, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 27, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 29, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 8, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2 ]

[ 9592, 203, 8533, 203, 4360, 499, 2678, 864, 1229, 13369, 203, 6873, 499, 225, 36, 34, 35, 38, 33, 35, 34, 33, 43, 203, 9592, 203, 465, 2322, 203, 21, 21924, 203, 6177, 81, 4065, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 2322, 32, 983, 32, 568, 1515, 490, 203, 21, 225, 17670, 8533, 203, 21, 595, 4966, 280, 44, 1148, 101, 111, 307, 21150, 24180, 52, 505, 75, 273, 563, 330, 35, 36, 41, 32, 34, 32, 34, 32, 35, 370, 284, 313, 1199, 563, 330, 96, 929, 304, 4279, 370, 284, 313, 625, 563, 330, 37, 37, 34, 40, 370, 284, 313, 496, 563, 330, 858, 370, 284, 313, 2895, 563, 330, 25870, 370, 203, 111, 203, 21, 225, 17670, 15646, 203, 1996, 81, 16134, 81, 5203, 81, 6191, 710, 496, 785, 474, 25487, 474, 4581, 81, 6191, 710, 2895, 785, 474, 3770, 25, 474, 4581, 81, 6191, 710, 2035, 785, 474, 25487, 474, 766, 528, 4581, 81, 6191, 710, 625, 785, 474, 13637, 474, 4581, 81, 6191, 710, 1199, 785, 474, 26652, 15245, 47, 3310, 42, 25, 203, 3550, 280, 301, 284, 330, 9534, 81, 7241, 950, 330, 23121, 107, 36892, 29, 90, 7643, 11704, 2739, 34, 74, 37, 107, 26371, 96, 40, 69, 6203, 6082, 75, 34, 92, 545, 39659, 64, 40, 83, 74, 10030, 39687, 6543, 29338, 53, 370, 284, 330, 2811, 950, 9399, 30, 284, 330, 1574, 81, 983, 950, 2322, 32, 983, 32, 2524, 26, 6177, 81, 4065, 30, 330, 1574, 1425, 203, 111, 203, 21, 225, 19122, 7759, 10216, 38081, 203, 25461, 81, 2930, 81, 4804, 280, 225, 35, 34, 203, 21, 225, 11729, 54, 81, 58, 9394, 81, 4804, 81, 5807, 280, 225, 40, 34, 21, 225, 19122, 45894, 38081, 7539, 5789, 203, 25461, 81, 10812, 2893, 81, 22812, 280, 5053, 4683, 950, 225, 35, 35, 30, 330, 3459, 950, 225, 43, 43, 111, 203, 21, 31120, 5861, 46961, 22760, 8133, 25, 203, 6664, 4546, 81, 17945, 81, 37728, 8094, 280, 540, 25, 451, 25, 203, 6664, 4546, 81, 55, 1400, 59, 25, 203, 6664, 4546, 81, 17945, 81, 13001, 280, 540, 25, 451, 25, 203, 33751, 81, 4065, 280, 2322, 32, 983, 32, 2524, 26, 6177, 81, 4065, 30, 330, 1574, 33, 4462, 25844, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1459, 21565, 81, 4065, 284, 1459, 10161, 5696, 81, 4065, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 4, 2, 2, 2, 2, 4, 4, 4, 4, 3, 7, 5, 6, 6, 6, 5, 9, 9, 9, 7, 8, 7, 11, 9, 10, 10, 10, 10, 10, 7, 10, 10, 10, 9, 9, 9, 9, 7, 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, 1, 1, 4, 2, 4, 4, 4, 4, 4, 4, 2, 1, 1, 4, 4, 1, 4, 4, 1, 1, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 11, 13, 10, 10, 12, 12, 12, 13, 13, 13, 13, 9, 11, 8, 8, 7, 9, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 7, 9, 9, 9, 5, 4, 6, 6, 6, 6, 6, 5, 3, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 9, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 9, 7, 4, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 4, 4, 7, 5, 5, 6, 4, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 1, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]

[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 6, 0, 1, 1, 1, 1, 2, 7, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 15, 15, 15, 15, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 3, 3, 2, 2, 0, 22, 22, 22, 22, 22, 22, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 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 ]

[ 589, 13203, 81, 46329, 81, 5350, 26, 96, 711, 284, 442, 10365, 564, 81, 9793, 81, 46329, 26, 96, 30, 225, 35, 27, 261, 203, 589, 10365, 564, 81, 9793, 81, 46329, 26, 96, 30, 312, 711, 284, 415, 310, 610, 225, 35, 556, 310, 610, 225, 34, 44, 291, 442, 312, 10065, 813, 44, 291, 442, 10365, 564, 81, 9793, 81, 46329, 26, 96, 429, 225, 35, 30, 310, 319, 312, 27, 203, 589, 10365, 564, 26, 96, 711, 284, 415, 310, 610, 225, 35, 556, 310, 610, 225, 34, 44, 16189, 442, 225, 35, 284, 813, 44, 16189, 442, 310, 319, 10365, 564, 26, 96, 429, 225, 35, 27, 203, 589, 2575, 2262, 284, 1459, 13203, 81, 46329, 81, 5350, 26, 35, 36, 27, 284, 1459, 10365, 564, 26, 34, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 5, 6, 4, 4, 5, 5, 6, 3, 3, 3, 5, 3, 3, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 10, 9, 9, 10, 8, 8, 9, 9, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 5, 5, 6, 4, 4, 5, 5, 6, 3, 3, 3, 5, 6, 3, 3, 4, 4, 4, 6, 7, 7, 9, 9, 11, 10, 10, 11, 9, 0, 1, 1, 2, 1, 1, 3, 5, 5, 5, 5, 5, 6, 6, 5, 2, 2, 3, 5, 5, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 3, 3, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 4, 4, 4, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 3, 3, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 22977, 30, 5237, 30, 29590, 203, 2524, 280, 2322, 32, 983, 32, 2524, 203, 12210, 81, 4065, 280, 2322, 32, 983, 32, 2998, 26, 500, 32, 983, 32, 35490, 4064, 761, 28154, 77, 34, 79, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 12210, 81, 4065, 30, 31001, 370, 330, 1040, 21180, 203, 500, 32, 31015, 26, 12210, 81, 4065, 27, 203, 465, 4527, 203, 2474, 1057, 1745, 85, 31, 8494, 25, 203, 807, 3412, 7146, 280, 2322, 32, 983, 32, 21379, 26, 2524, 26, 12210, 81, 4065, 30, 31001, 370, 31001, 370, 330, 605, 370, 330, 22476, 2847, 203, 589, 1968, 26, 2142, 30, 24633, 30, 10750, 47, 2700, 30, 4583, 47, 2521, 711, 284, 354, 280, 2107, 9860, 370, 330, 4205, 370, 330, 1832, 370, 6470, 102, 370, 8930, 426, 11915, 1439, 2473, 1643, 26, 426, 47, 2474, 2177, 284, 415, 10750, 44, 291, 354, 32, 1689, 13692, 1347, 31, 2613, 657, 284, 354, 32, 1689, 46661, 284, 4527, 32, 1945, 26, 104, 30, 1519, 47, 2524, 26, 12210, 81, 4065, 30, 330, 893, 31, 1439, 2847, 284, 354, 280, 2107, 9860, 370, 330, 4205, 370, 330, 1832, 370, 6470, 102, 370, 2604, 79, 284, 415, 4583, 44, 291, 354, 32, 1689, 13692, 1832, 31, 626, 657, 291, 354, 32, 1689, 440, 3375, 1279, 3375, 16054, 1643, 26, 3375, 47, 3375, 490, 284, 415, 24633, 44, 16189, 354, 32, 1689, 13692, 1347, 31, 2613, 657, 284, 354, 32, 1689, 36909, 284, 4527, 32, 1945, 26, 104, 30, 1519, 47, 2524, 26, 12210, 81, 4065, 1947, 893, 2847, 203, 589, 1968, 81, 4205, 26, 1132, 711, 284, 415, 2181, 32, 3375, 44, 291, 2181, 32, 2142, 1454, 2726, 21113, 415, 2181, 32, 2142, 813, 9142, 474, 2181, 32, 3375, 2867, 40, 79, 284, 2604, 280, 4527, 32, 371, 81, 2142, 26, 1132, 30, 8912, 27, 284, 1968, 26, 2142, 30, 2181, 32, 36005, 30, 2181, 32, 13874, 30, 2181, 32, 3375, 27, 284, 415, 646, 2181, 32, 1696, 44, 291, 4527, 32, 89, 3209, 81, 4205, 81, 2018, 26, 2142, 27, 203, 589, 1420, 81, 267, 81, 8654, 26, 1132, 711, 284, 415, 2181, 32, 858, 44, 291, 316, 16462, 81, 6281, 81, 1357, 280, 20089, 81, 6281, 81, 1357, 280, 330, 35, 34, 95, 25, 291, 316, 16462, 81, 5566, 81, 1357, 280, 20089, 81, 5566, 81, 1357, 280, 330, 36, 34, 34, 14919, 25, 284, 813, 44, 291, 20089, 81, 6281, 81, 1357, 280, 330, 37, 34, 34, 95, 25, 291, 20089, 81, 5566, 81, 1357, 280, 330, 35, 24468, 25, 291, 316, 16462, 81, 6281, 81, 1357, 280, 330, 37, 34, 34, 95, 25, 291, 316, 16462, 81, 5566, 81, 1357, 280, 330, 35, 24468, 25, 284, 4527, 32, 12830, 81, 7241, 81, 4658, 463, 2714, 3365, 31, 1237, 31, 678, 370, 330, 2714, 3365, 683, 284, 4527, 32, 12830, 81, 7241, 81, 4658, 463, 5872, 21143, 31, 1237, 31, 678, 370, 225, 330, 5872, 21143, 683, 284, 2181, 32, 1696, 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, 1, 1, 1, 1, 0, 3, 2, 2, 4, 5, 3, 4, 0, 3, 3, 3, 2, 2, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 3, 4, 3, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 7, 9, 7, 9, 9, 0, 4, 3, 4, 3, 4, 4, 4, 3, 0, 1, 1, 0, 3, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 7, 7, 7, 6, 6, 8, 6, 8, 6, 8, 8, 6, 8, 8, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 9, 9, 9, 9, 8, 7, 9, 8, 9, 7, 2, 2, 3, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 6, 5, 5, 6, 8, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 2, 2, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 2, 2, 3, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 4, 4, 7, 8, 7, 11, 11, 11, 11, 10, 9, 11, 10, 11, 9, 2, 2, 3, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 6, 5, 5, 6, 8, 8, 9, 9, 9, 8, 10, 10, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 3, 3, 3, 7, 8, 6, 6, 11, 9, 9, 10, 11, 9, 9, 7, 7, 9, 10, 8, 10, 8, 2, 2, 4, 4, 6, 7, 7, 7, 6, 7, 6, 6, 6, 2, 2, 5, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 6, 7, 5, 2, 2, 3, 4, 5, 6, 3, 3, 3, 7, 8, 8, 8, 8, 8, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 3, 3, 3, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 3, 3, 4, 4, 4, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 5, 5, 8, 8, 8, 8, 7, 7, 9, 9, 9, 5, 5, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 5, 5, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 2, 2, 5, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 2, 2, 5, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 2, 2, 5, 6, 4 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 5, 5, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 8, 8, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 8, 8, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 5, 5, 5, 5, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 4, 4, 6, 6, 6, 6, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0 ]

[ 9592, 203, 2272, 2297, 7367, 8684, 372, 4450, 26687, 18112, 17679, 688, 884, 313, 7741, 318, 20, 645, 312, 706, 739, 32, 886, 9608, 2164, 37383, 17340, 322, 26687, 18112, 3984, 688, 4630, 21726, 12225, 4549, 706, 2702, 619, 1509, 769, 328, 1604, 8153, 30, 17340, 322, 26687, 18112, 3984, 688, 7410, 322, 706, 739, 4630, 11353, 32, 5802, 884, 3134, 12350, 8710, 432, 26687, 18112, 3984, 9608, 44, 5193, 9608, 461, 3395, 9608, 32, 19247, 9608, 6058, 17340, 322, 3996, 688, 4630, 21726, 12225, 409, 10005, 101, 322, 6440, 14098, 328, 322, 706, 32, 10901, 9608, 6058, 10891, 299, 322, 3377, 432, 322, 390, 14229, 101, 328, 312, 3996, 37250, 372, 4630, 21726, 12225, 1542, 322, 706, 32, 1348, 2297, 1401, 8684, 436, 4335, 432, 3282, 8253, 32, 203, 9592, 203, 465, 1933, 203, 465, 31074, 203, 1270, 44, 284, 1188, 6436, 619, 2065, 203, 7343, 29986, 44, 284, 3636, 29986, 440, 10337, 438, 646, 6713, 544, 1370, 2664, 7144, 203, 1270, 44, 3701, 645, 18414, 32, 5136, 1188, 663, 297, 5901, 203, 7343, 29986, 44, 284, 3636, 29986, 440, 36568, 438, 646, 6713, 544, 1370, 2664, 7144, 203, 1070, 638, 1251, 605, 1188, 4004, 750, 30, 14360, 1212, 750, 203, 1070, 638, 23626, 15357, 1188, 6466, 30827, 203, 1070, 638, 39933, 26552, 17003, 1020, 2316, 1188, 3645, 10521, 30886, 18112, 4711, 203, 1070, 638, 4078, 26552, 17003, 1020, 2316, 1188, 498, 3924, 395, 18112, 4711, 203, 823, 447, 15178, 1475, 23588, 2262, 284, 5881, 284, 1348, 443, 438, 312, 6652, 623, 8684, 436, 9608, 26687, 18112, 17679, 645, 706, 32, 2030, 4304, 322, 319, 39933, 81, 95, 274, 81, 26892, 2132, 7027, 319, 4078, 81, 95, 274, 81, 26892, 2132, 7027, 319, 39933, 81, 12704, 81, 26892, 1167, 7027, 319, 4078, 81, 12704, 81, 26892, 1167, 7027, 319, 39933, 81, 1328, 552, 7027, 319, 39933, 81, 26892, 7368, 7027, 461, 319, 4078, 81, 26892, 7368, 28, 4438, 32, 284, 5881, 284, 665, 36444, 81, 95, 274, 81, 26892, 2132, 26, 784, 30, 26611, 15357, 30, 706, 711, 291, 5881, 291, 14164, 5679, 3377, 436, 312, 36444, 26687, 18112, 3984, 623, 312, 5193, 2702, 810, 319, 23626, 15357, 28, 328, 2532, 372, 1769, 12178, 322, 16356, 432, 706, 2702, 810, 319, 605, 8440, 1348, 667, 8727, 322, 2412, 4209, 44, 1802, 35, 32, 319, 23626, 15357, 28, 769, 2244, 1980, 432, 322, 499, 1427, 5781, 3406, 30827, 333, 23626, 15357, 5856, 443, 6621, 9228, 461, 6731, 706, 32, 1802, 36, 32, 319, 605, 28, 769, 399, 1149, 432, 5436, 101, 6621, 9801, 645, 322, 3984, 328, 301, 9309, 44, 786, 111, 2179, 32, 5938, 403, 528, 428, 715, 301, 1014, 330, 25294, 950, 330, 52, 370, 1014, 330, 29173, 950, 330, 741, 5020, 370, 1014, 2417, 715, 801, 715, 2417, 528, 1481, 291, 1348, 667, 4302, 5052, 322, 7433, 432, 312, 1541, 1182, 46197, 436, 2504, 16579, 432, 2819, 20861, 25, 46197, 32, 701, 8113, 1259, 561, 9585, 600, 28625, 4878, 1900, 21161, 16356, 7433, 436, 2504, 1541, 32, 2030, 1615, 18624, 1196, 312, 499, 1427, 5781, 42559, 30886, 18112, 4711 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 4, 4, 1, 2, 2, 2, 2, 2, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 1, 1, 3, 4, 5, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 4, 4, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]

[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 4, 4, 0, 1, 2, 0, 0, 0, 0, 4, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 1, 1, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 94, 2321, 1482, 107, 1593, 366, 21, 102, 12261, 30, 1133, 203, 465, 316, 203, 1070, 8527, 1188, 10548, 203, 823, 9261, 2247, 1241, 26, 8538, 32, 1241, 711, 284, 2899, 620, 280, 10548, 32, 16357, 346, 284, 2340, 280, 10548, 32, 1547, 1176, 346, 284, 1133, 280, 10548, 32, 30400, 346, 284, 1780, 280, 10548, 32, 16357, 346, 284, 1795, 280, 10548, 32, 16357, 346, 284, 665, 5063, 81, 2795, 620, 26, 784, 711, 291, 2899, 620, 280, 630, 32, 32854, 81, 605, 710, 2795, 620, 785, 291, 415, 2899, 620, 610, 1044, 25, 7099, 950, 324, 442, 2899, 620, 291, 3636, 10548, 32, 24536, 463, 2795, 620, 81, 530, 683, 284, 665, 5063, 81, 770, 26, 784, 711, 291, 2340, 280, 630, 32, 32854, 81, 605, 710, 770, 785, 291, 11610, 280, 7138, 32, 770, 32, 16003, 346, 291, 415, 2340, 333, 11610, 474, 7138, 32, 32888, 26, 6124, 280, 225, 42, 27, 461, 2340, 848, 11610, 44, 324, 442, 2340, 291, 3636, 10548, 32, 24536, 463, 770, 81, 530, 683, 284, 665, 5063, 81, 1003, 26, 784, 711, 291, 1133, 280, 630, 32, 32854, 81, 605, 710, 1003, 785, 291, 415, 1133, 2377, 225, 35, 461, 1133, 2511, 225, 37, 44, 324, 442, 1133, 291, 3636, 10548, 32, 24536, 463, 1003, 81, 530, 683, 284, 665, 5063, 81, 1311, 26, 784, 711, 291, 5257, 280, 316, 32, 6993, 26, 103, 28249, 77, 83, 31, 15188, 31, 76, 34, 31, 43, 78, 103, 38, 87, 34, 34, 15641, 103, 43, 1919, 39, 6155, 22, 683, 291, 1780, 280, 630, 32, 32854, 81, 605, 710, 1311, 785, 291, 456, 280, 2069, 26, 1311, 27, 291, 415, 456, 2377, 225, 35, 461, 456, 2511, 225, 35, 34, 461, 5257, 32, 2872, 26, 1311, 711, 324, 442, 1780, 291, 3636, 10548, 32, 24536, 463, 1311, 81, 530, 683, 284, 665, 5063, 81, 1286, 26, 784, 711, 291, 5257, 280, 316, 32, 6993, 26, 103, 28249, 77, 5173, 5090, 11249, 8173, 117, 9622, 1448, 1121, 19151, 18818, 2537, 21188, 21153, 7186, 4830, 12613, 2586, 3087, 11186, 33645, 2735, 25715, 78, 101, 78, 106, 36, 35, 15641, 106, 41, 87, 78, 103, 38, 87, 34, 34, 15641, 103, 43, 1919, 39, 6155, 22, 683, 291, 5257, 81, 5006, 280, 316, 32, 6993, 26, 103, 25, 14747, 101, 19918, 683, 291, 1795, 280, 630, 32, 32854, 81, 605, 710, 1286, 785, 291, 456, 280, 2069, 26, 1286, 27, 291, 415, 456, 2377, 225, 35, 461, 456, 2511, 225, 35, 34, 34, 461, 5257, 32, 2872, 26, 1286, 27, 461, 646, 5257, 81, 5006, 32, 2872, 26, 1286, 711, 324, 442, 1795, 291, 3636, 10548, 32, 24536, 463, 1286, 81, 530, 683, 203, 823, 13337, 2247, 1241, 26, 8538, 32, 1241, 711, 284, 2899, 620, 280, 10548, 32, 16357, 346, 284, 2340, 280, 10548, 32, 1547, 1176, 346, 284, 1133, 280, 10548, 32, 30400, 346, 284, 7618, 558, 280, 10548, 32, 16357, 346, 284, 1491, 1792, 280, 10548, 32, 16357, 346, 284, 1491, 705, 280, 10548, 32, 16357, 346, 284, 665, 5063, 81, 2795, 620, 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 ]

[ 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 9, 9, 7, 9, 9, 9, 4, 4, 5, 7, 6, 6, 8, 8, 8, 5, 5, 7, 8, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 7, 9, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 4, 4, 5, 7, 7, 8, 8, 10, 11, 10, 12, 11, 11, 12, 10, 6, 6, 7, 7, 5, 5, 5, 7, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 7, 9, 9, 4, 4, 5, 7, 7, 8, 6, 6, 7, 7, 8, 5, 5, 5, 7, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 10, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 7, 9, 9, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 8, 8, 9, 7, 7, 8, 8, 9, 9, 6, 6, 8, 9, 8, 9, 8, 5, 5, 7, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 8, 4, 4, 4, 7, 7, 6, 8, 9, 8, 10, 10, 10, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 9, 9, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8, 9, 4, 4, 4, 5, 9, 10, 8, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 5, 8, 8, 4, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 7, 9, 9, 9, 0, 1, 1, 2, 2, 4, 4, 4, 1, 1, 5, 5, 4, 7, 6, 7, 7, 6, 5, 5, 7, 7, 7, 2, 2, 5, 7, 7, 7, 7, 7, 2, 5, 5, 4, 4, 7, 7, 7, 2, 2, 5, 5, 5, 6, 7, 7, 6, 2, 5, 5, 4, 7 ]

[ 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 4, 4, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 4, 4, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 4, 4, 3, 0, 2, 1, 1, 1, 1, 2, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 4, 4, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 3, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 3, 3, 0, 4, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 4, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 4, 4, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 4, 4, 4, 1, 1, 4, 4, 4, 5, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 5, 5, 1, 1, 0, 0, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 0, 0, 0, 0 ]

[ 1070, 18792, 1188, 3850, 3028, 203, 465, 6436, 619, 2065, 203, 465, 12643, 619, 6121, 203, 1070, 12643, 1188, 19800, 70, 203, 1070, 33286, 81, 1282, 39306, 1188, 1565, 4421, 9389, 203, 1070, 1288, 91, 45817, 32, 605, 32, 1632, 81, 6308, 1188, 546, 58, 7257, 72, 30, 3139, 750, 1484, 1547, 30, 3139, 750, 1562, 27906, 203, 1070, 1288, 91, 45817, 32, 605, 32, 2848, 81, 15416, 1188, 24068, 19854, 3135, 2900, 3300, 203, 1070, 1288, 91, 45817, 32, 2304, 32, 1131, 81, 6460, 1188, 1424, 81, 2516, 30, 6042, 81, 3494, 203, 1070, 1288, 91, 45817, 32, 2304, 32, 24464, 81, 2304, 1188, 1505, 81, 18713, 81, 464, 81, 8786, 203, 823, 701, 5017, 25264, 2900, 3300, 26, 12100, 19854, 3135, 2900, 3300, 711, 284, 477, 2358, 81, 2516, 26, 291, 12872, 47, 2665, 30, 291, 14461, 47, 37887, 9389, 30, 291, 6144, 81, 7711, 47, 2420, 30, 291, 12414, 81, 7787, 47, 7111, 32, 9273, 30, 284, 829, 284, 665, 1156, 1664, 3207, 784, 30, 353, 12872, 30, 353, 14461, 30, 353, 12414, 81, 7787, 30, 353, 6144, 81, 7711, 47, 1815, 711, 291, 630, 1114, 9433, 280, 12872, 291, 630, 1114, 2810, 280, 301, 678, 44, 3118, 32, 2810, 436, 1202, 30, 3118, 328, 3850, 3028, 26, 9433, 4370, 291, 630, 1114, 10542, 280, 14461, 291, 630, 1114, 8084, 81, 7787, 280, 12414, 81, 7787, 291, 6042, 81, 3494, 26, 9433, 30, 739, 26, 33938, 7257, 72, 471, 827, 26, 784, 14585, 426, 8223, 291, 415, 6144, 81, 7711, 44, 324, 6144, 81, 9433, 81, 16620, 26, 668, 26, 9433, 32, 2810, 6182, 14461, 27, 291, 630, 1114, 18780, 280, 12872, 710, 2679, 5695, 1055, 291, 630, 1114, 101, 3631, 280, 12872, 710, 2679, 5695, 6057, 284, 477, 17614, 284, 665, 645, 81, 4710, 26, 6933, 30, 7990, 30, 14461, 30, 12414, 81, 7787, 711, 291, 442, 9011, 26, 2665, 26, 4710, 32, 40957, 6182, 14461, 30, 12414, 81, 7787, 27, 284, 477, 2433, 284, 665, 2401, 81, 7230, 81, 2632, 26, 784, 711, 291, 442, 630, 1114, 10542, 6448, 35, 79, 284, 477, 2433, 284, 665, 33286, 81, 10542, 26, 784, 711, 291, 442, 630, 1114, 10542, 284, 477, 2433, 284, 665, 20996, 26, 784, 711, 291, 442, 630, 1114, 18780, 284, 665, 2454, 81, 1294, 81, 23692, 26, 784, 30, 6090, 30, 1477, 81, 2632, 30, 943, 81, 2632, 30, 13638, 711, 291, 415, 1477, 81, 2632, 646, 328, 630, 1114, 18780, 44, 324, 3636, 3139, 750, 1484, 1547, 26, 1366, 81, 2632, 27, 291, 415, 943, 81, 2632, 646, 328, 630, 1114, 18780, 44, 324, 3636, 3139, 750, 1484, 1547, 26, 416, 81, 2632, 27, 291, 7057, 81, 42913, 280, 630, 1114, 101, 3631, 32, 371, 81, 42913, 26, 3512, 27, 291, 415, 429, 35, 328, 7057, 81, 42913, 44, 324, 6658, 81, 3512, 280, 13638, 77, 5474, 81, 42913, 610, 429, 35, 79, 324, 3636, 3139, 750, 1562, 27906, 26, 3371, 81, 3512, 27, 291, 2340, 81, 42913, 280, 630, 1114, 18780, 32, 6099, 81, 42913, 26, 1366, 81, 2632, 30, 943, 81, 2632 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 6, 6, 6, 6, 6, 6, 7, 8, 6, 6, 6, 7, 8, 8, 6, 6, 6, 8, 8, 7, 8, 6, 6, 6, 8, 8, 7, 9, 8, 9, 6, 6, 6, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 7, 7, 6, 7, 5, 4, 4, 8, 9, 7, 7, 5, 5, 8, 9, 7, 7, 10, 9, 9, 10, 11, 8, 9, 10, 10, 9, 9, 11, 11, 12, 11, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 8, 8, 8, 9, 8, 8, 10, 11, 11, 11, 10, 8, 11, 12, 11, 10, 10, 5, 5, 6, 7, 7, 6, 6, 6, 10, 10, 10, 10, 10, 12, 12, 15, 14, 15, 14, 10, 10, 5, 5, 8, 9, 7, 7, 9, 11, 11, 9, 5, 5, 8, 9, 9, 7, 7, 9, 11, 11, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 6, 5, 4, 4, 6, 8, 10, 10, 13, 12, 13, 12, 8, 8, 8, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 9, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 7, 7, 6, 6, 6, 7, 8, 5, 5, 5, 7, 9, 9, 9, 9, 10, 10, 10, 9, 4, 4, 5, 7, 7, 6, 6, 6, 7, 8, 5, 5, 5, 7, 9, 9, 9, 9, 10, 10, 10, 9, 4, 4, 7, 7, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 9, 8, 4, 4, 5, 8, 6, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 9, 11, 11, 11, 10, 10, 12, 9, 6, 6, 7, 9, 9, 9, 9, 10, 10, 10, 9, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9 ]

[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 1, 4, 4, 4, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 1, 2, 1, 4, 4, 4, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 4, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 9, 9, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 1, 0, 0, 7, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 2, 0, 0, 9, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 5, 1, 1, 5, 5, 5, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 5, 5, 1, 4, 4, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3 ]

[ 433, 422, 21300, 22229, 26, 1473, 711, 284, 1524, 334, 588, 1997, 665, 1156, 1664, 3207, 784, 30, 2678, 800, 30, 13462, 81, 268, 1525, 444, 81, 800, 711, 291, 1524, 275, 630, 32, 99, 800, 280, 2678, 800, 291, 630, 32, 18184, 81, 268, 1525, 444, 81, 800, 280, 13462, 81, 268, 1525, 444, 81, 800, 203, 61, 15456, 41425, 69, 280, 301, 400, 313, 1676, 20, 499, 766, 715, 21300, 22229, 26, 2678, 800, 280, 313, 10706, 29, 65, 392, 10631, 13462, 81, 268, 1525, 444, 81, 800, 280, 313, 10706, 29, 65, 20, 2588, 400, 313, 2853, 619, 20, 499, 766, 715, 21300, 22229, 26, 2678, 800, 280, 313, 10706, 29, 69, 392, 10631, 13462, 81, 268, 1525, 444, 81, 800, 280, 313, 10706, 29, 69, 20, 2588, 400, 313, 4775, 20, 499, 766, 715, 21300, 22229, 26, 2678, 800, 280, 313, 10706, 29, 67, 392, 10631, 13462, 81, 268, 1525, 444, 81, 800, 280, 313, 10706, 29, 67, 20, 2588, 400, 313, 2751, 3049, 16656, 20, 499, 766, 715, 21300, 22229, 26, 2678, 800, 280, 313, 10706, 29, 58, 392, 10631, 13462, 81, 268, 1525, 444, 81, 800, 280, 313, 10706, 29, 58, 20, 2588, 400, 313, 4699, 20, 499, 766, 715, 21300, 22229, 26, 2678, 800, 280, 313, 10706, 29, 13184, 392, 10631, 13462, 81, 268, 1525, 444, 81, 800, 280, 313, 10706, 29, 13184, 20, 2588, 400, 313, 669, 1630, 20, 499, 766, 715, 21300, 22229, 26, 2678, 800, 280, 313, 10706, 1046, 392, 10631, 13462, 81, 268, 1525, 444, 81, 800, 280, 313, 10706, 474, 43563, 20, 2588, 400, 313, 1113, 1630, 20, 499, 766, 715, 21300, 22229, 26, 2678, 800, 280, 313, 10706, 10873, 392, 10631, 13462, 81, 268, 1525, 444, 81, 800, 280, 313, 10706, 474, 6470, 7362, 2588, 1802, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 4, 4, 2, 2, 3, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 5, 4, 6, 6, 6, 8, 7, 7, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 6, 3, 3, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 8, 7, 7, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 6, 3, 3, 6, 6, 4, 4, 5, 4, 6, 6, 6, 8, 7, 7, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 6, 3, 3, 6, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 8, 7, 7, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 6, 3, 3, 6, 6, 4, 4, 5, 4, 6, 6, 6, 8, 7, 7, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 6, 3, 3, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 8, 7, 7, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 6, 3, 3, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 8, 7, 7, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 6, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 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, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 3, 3, 2, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 1, 2, 5, 5, 2, 5, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 7, 7, 2, 7, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 1, 2, 9, 9, 2, 9, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 11, 11, 2, 11, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 13, 13, 2, 13, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 5237, 30, 2322, 30, 1133, 30, 821, 4775, 203, 1070, 7060, 1188, 18760, 19794, 225, 203, 823, 24267, 5998, 44, 284, 665, 1156, 1664, 3207, 784, 30, 12497, 761, 30, 24621, 20183, 1902, 33, 1693, 370, 12532, 20183, 1902, 33, 1693, 370, 16154, 20183, 1902, 33, 1693, 7831, 291, 630, 32, 21633, 280, 24621, 291, 630, 32, 9362, 280, 12532, 291, 630, 32, 8228, 280, 16154, 291, 630, 32, 6320, 761, 280, 12497, 761, 284, 665, 19249, 518, 26, 784, 711, 291, 1596, 44, 324, 12497, 280, 2322, 32, 15793, 346, 324, 415, 12497, 848, 225, 34, 44, 400, 5237, 32, 4775, 26, 34, 27, 291, 2940, 546, 21887, 30, 484, 44, 324, 5237, 32, 8228, 32, 1821, 440, 15793, 588, 35, 3803, 44, 904, 86, 10027, 101, 5421, 96, 20, 904, 308, 87, 32, 12864, 30, 484, 32, 466, 731, 490, 324, 5237, 32, 4775, 26, 35, 27, 291, 2322, 32, 31015, 32087, 291, 2322, 32, 2021, 314, 346, 291, 2322, 32, 378, 912, 26, 34, 27, 291, 1596, 44, 324, 12497, 280, 2322, 32, 15793, 346, 324, 415, 12497, 848, 225, 34, 44, 400, 5237, 32, 4775, 26, 34, 27, 291, 2940, 546, 21887, 30, 484, 44, 324, 5237, 32, 8228, 32, 1821, 440, 15793, 588, 36, 3803, 44, 904, 86, 10027, 101, 5421, 96, 20, 904, 308, 87, 32, 12864, 30, 484, 32, 466, 731, 490, 324, 5237, 32, 4775, 26, 35, 27, 291, 5237, 32, 9362, 32, 9321, 346, 291, 5237, 32, 8228, 32, 9321, 346, 291, 7065, 280, 803, 26, 784, 32, 21633, 30, 330, 100, 683, 291, 1259, 280, 803, 26, 784, 32, 9362, 30, 330, 83, 48891, 291, 408, 280, 803, 26, 784, 32, 8228, 30, 330, 83, 44292, 225, 34, 27, 291, 2322, 32, 12130, 36, 26, 3434, 32, 5039, 7888, 1026, 5237, 32, 21633, 32, 5039, 7888, 1157, 291, 2322, 32, 12130, 36, 26, 762, 32, 5039, 7888, 1026, 5237, 32, 9362, 32, 5039, 7888, 1157, 291, 2322, 32, 12130, 36, 26, 277, 32, 5039, 7888, 1026, 5237, 32, 8228, 32, 5039, 7888, 1157, 291, 821, 4775, 32, 3317, 26, 784, 32, 286, 1915, 314, 27, 291, 12497, 280, 596, 26, 500, 32, 371, 6320, 1157, 291, 803, 26, 784, 32, 6320, 761, 1947, 105, 29, 1814, 1821, 4912, 101, 78, 96, 20, 904, 12497, 27, 284, 665, 409, 1915, 314, 26, 784, 711, 291, 2322, 32, 2546, 26, 784, 32, 6320, 761, 27, 284, 665, 1477, 26, 784, 711, 291, 1596, 44, 324, 19176, 280, 803, 26, 784, 32, 6320, 761, 1947, 100, 683, 324, 12497, 280, 629, 26, 7132, 32, 850, 922, 7201, 1157, 324, 19176, 32, 2679, 346, 291, 2940, 45338, 44, 324, 12497, 280, 1665, 291, 415, 12497, 44, 324, 1474, 280, 313, 6320, 761, 904, 101, 3425, 5375, 32, 24267, 5998, 3425, 3974, 21194, 96, 20, 324, 5237, 32, 8228, 32, 1821, 26, 1436, 904, 630, 32, 6320, 761, 27, 324, 5237, 32, 4775, 26, 35, 27, 291, 630, 32, 19186, 518, 346, 291, 630, 32, 1945, 346, 284, 665, 4719, 26, 784, 711, 291, 1596, 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, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 7, 7, 7, 7, 4, 5, 7, 7, 7, 7, 4, 5, 7, 7, 7, 7, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 10, 11, 10, 6, 6, 7, 8, 8, 9, 7, 7, 7, 11, 12, 11, 12, 11, 5, 5, 6, 7, 6, 6, 6, 6, 6, 11, 12, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 13, 11, 11, 14, 13, 14, 12, 12, 13, 14, 14, 12, 7, 7, 10, 11, 10, 11, 10, 4, 4, 7, 8, 7, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 5, 5, 5, 8, 8, 10, 11, 10, 6, 6, 7, 8, 8, 9, 7, 7, 7, 11, 12, 11, 12, 11, 5, 5, 6, 7, 6, 6, 6, 6, 6, 11, 12, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 13, 11, 11, 14, 13, 14, 12, 12, 13, 14, 14, 12, 7, 7, 10, 11, 10, 11, 10, 4, 4, 8, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 4, 4, 6, 6, 8, 10, 9, 10, 8, 8, 10, 10, 4, 4, 6, 6, 8, 10, 9, 10, 8, 8, 10, 10, 4, 4, 6, 6, 8, 10, 9, 10, 8, 8, 10, 10, 8, 9, 8, 4, 4, 7, 8, 8, 7, 10, 9, 10, 10, 9, 7, 10, 11, 9, 10, 10, 9, 4, 4, 7, 8, 8, 7, 10, 9, 10, 10, 9, 7, 10, 11, 9, 10, 10, 9, 4, 4, 7, 8, 8, 7, 10, 9, 10, 10, 9, 7, 10, 11, 9, 10, 10, 9, 4, 4, 8, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 6, 6, 8, 11, 10, 11, 11, 10, 4, 4, 9, 11, 10, 11, 11, 9, 11, 11, 11, 8, 7, 10, 11, 11, 10, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 8, 9, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 10, 12, 11, 12, 12, 10, 12, 12, 6, 6, 8, 8, 10, 15, 14, 15, 14, 13, 12, 6, 6, 9, 10, 9, 5, 5, 6, 6, 6, 6, 9, 9, 4, 4, 5, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 6, 6, 10, 11, 9, 10, 9, 11, 10, 10, 11, 12, 12, 9, 6, 6, 9, 10, 9, 10, 9, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 1, 1, 1, 2, 2, 7, 1, 1, 1, 2, 2, 9, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 3, 3, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 5, 5, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 4, 4, 4, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 4, 4, 3, 1, 3, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 5, 5, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 5, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 1, 0, 0, 2, 2, 1, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 3, 3, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 1, 3, 3, 4, 2, 1, 2, 4, 4, 0 ]

[ 2206, 8648, 203, 20, 203, 1070, 638, 2304, 1188, 3616, 81, 9785, 203, 1070, 35094, 1188, 33845, 203, 465, 2322, 203, 465, 3363, 203, 465, 22977, 203, 465, 16539, 203, 465, 29590, 203, 465, 787, 1909, 203, 1270, 44, 284, 1188, 31830, 771, 1147, 32, 9211, 619, 31830, 203, 7343, 29986, 44, 284, 31830, 280, 1665, 225, 588, 203, 589, 4871, 81, 452, 81, 7003, 81, 761, 26, 88, 711, 284, 313, 264, 477, 4071, 101, 26, 88, 27, 284, 665, 296, 81, 266, 81, 761, 26, 10555, 711, 291, 623, 2156, 26, 10555, 30, 330, 4506, 683, 619, 9233, 44, 324, 706, 280, 9233, 32, 850, 346, 291, 706, 280, 296, 26, 605, 27, 291, 623, 2156, 26, 10555, 30, 330, 12108, 48891, 619, 963, 88, 44, 324, 963, 88, 32, 1821, 26, 605, 27, 284, 442, 296, 81, 266, 81, 761, 203, 589, 4871, 81, 452, 81, 878, 81, 761, 26, 88, 711, 284, 313, 264, 477, 4071, 101, 26, 88, 27, 284, 665, 296, 81, 266, 81, 761, 26, 10555, 711, 291, 623, 3363, 32, 1676, 26, 10555, 30, 330, 100, 370, 7328, 1057, 3310, 31, 42, 683, 619, 9233, 44, 324, 706, 280, 9233, 32, 850, 346, 291, 706, 280, 296, 26, 605, 27, 291, 623, 3363, 32, 1676, 26, 10555, 30, 330, 105, 44292, 7328, 1057, 3310, 31, 42, 683, 619, 963, 88, 44, 324, 963, 88, 32, 1821, 26, 605, 27, 284, 442, 296, 81, 266, 81, 761, 203, 589, 1149, 81, 3227, 26, 1382, 81, 668, 30, 2290, 30, 15909, 711, 284, 313, 9388, 1169, 39630, 432, 4102, 1809, 572, 623, 4102, 27378, 572, 328, 4102, 1382, 81, 668, 572, 20, 284, 436, 595, 30, 354, 328, 10703, 26, 1382, 81, 668, 711, 291, 415, 354, 610, 2290, 44, 324, 322, 81, 668, 77, 91, 79, 280, 15909, 203, 589, 1420, 30990, 26, 2501, 30, 44705, 711, 284, 313, 284, 415, 646, 6937, 26, 2501, 30, 1149, 711, 291, 2016, 280, 787, 1909, 32, 2998, 26, 2501, 27, 284, 3691, 1515, 280, 1665, 284, 415, 5461, 36, 20, 328, 2016, 44, 291, 3691, 1515, 280, 29590, 32, 4765, 86, 1433, 26, 4254, 347, 15514, 14026, 657, 291, 3691, 10555, 280, 2322, 32, 983, 32, 2524, 26, 30606, 30, 2322, 32, 983, 32, 15705, 26, 35380, 490, 284, 1596, 44, 291, 1149, 81, 3227, 26, 2501, 30, 5461, 35, 392, 44705, 27, 291, 415, 3691, 1515, 44, 324, 1149, 81, 3227, 26, 2501, 30, 5461, 36, 392, 3691, 10555, 27, 291, 16539, 32, 1553, 81, 1851, 26, 2501, 27, 291, 415, 3691, 1515, 44, 324, 22977, 32, 1500, 26, 2868, 10555, 30, 44705, 27, 284, 8295, 44, 291, 415, 3691, 1515, 44, 324, 22977, 32, 100, 41718, 26, 30606, 27, 203, 589, 533, 1707, 81, 42084, 26, 35380, 711, 284, 533, 103, 295, 592, 714, 271, 280, 3177, 284, 1596, 44, 291, 16539, 32, 1851, 463, 107, 1707, 31, 42084, 370, 12532, 47, 1676, 26, 500, 32, 1902, 1693, 30, 330, 105, 1425, 16154, 47, 1676, 26, 500, 32, 1902, 1693, 30, 330, 105, 2847, 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, 2, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 6, 6, 5, 6, 4, 4, 1, 2, 2, 2, 2, 2, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 1, 6, 6, 6, 7, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 11, 12, 11, 11, 13, 13, 9, 9, 6, 6, 6, 9, 9, 11, 12, 11, 5, 5, 7, 7, 9, 10, 9, 5, 5, 6, 11, 12, 11, 11, 13, 13, 9, 9, 11, 6, 6, 6, 11, 10, 11, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 1, 6, 6, 6, 7, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 11, 12, 11, 12, 11, 11, 13, 13, 11, 12, 14, 14, 14, 14, 9, 9, 6, 6, 6, 9, 9, 11, 12, 11, 5, 5, 7, 7, 9, 10, 9, 5, 5, 6, 11, 12, 11, 12, 11, 11, 13, 13, 11, 12, 14, 14, 14, 14, 9, 9, 11, 6, 6, 6, 11, 10, 11, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 6, 5, 3, 3, 5, 6, 6, 5, 5, 5, 10, 10, 9, 10, 9, 8, 8, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 1, 3, 4, 6, 7, 6, 6, 6, 3, 3, 6, 6, 9, 8, 9, 8, 9, 8, 2, 2, 5, 4, 4, 2, 2, 3, 6, 6, 4, 4, 3, 3, 3, 7, 6, 6, 8, 9, 9, 9, 8, 10, 9, 11, 11, 11, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 2, 2, 3, 3, 3, 7, 7, 7, 8, 7, 7, 9, 9, 7, 7, 4, 4, 5, 6, 5, 5, 5, 9, 9, 9, 10, 9, 9, 11, 11, 9, 10, 9, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 5, 6, 5, 5, 5, 9, 10, 9, 10, 10, 9, 9, 9, 3, 3, 4, 4, 4, 6, 7, 6, 6, 6, 10, 11, 11, 10, 11, 10, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 7, 8, 10, 10, 12, 11, 12, 12, 10, 10, 12, 12, 7, 8, 10, 10, 12, 11, 12, 12, 10, 10, 12, 12, 4 ]

[ 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 10, 10, 10, 10, 0, 0, 0, 0, 2, 1, 1, 10, 3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 11, 11, 1, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 11, 11, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 0, 12, 12, 1, 1, 1, 1, 1, 1, 2, 1, 2, 12, 12, 12, 12, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 14, 14, 1, 2, 1, 2, 2, 2, 14, 14, 14, 14, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 5, 5, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 5, 5, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 5, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 15, 15, 1, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 5, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2 ]

[ 465, 2322, 203, 465, 26671, 2593, 203, 589, 894, 81, 311, 2208, 26, 1664, 81, 31157, 2593, 711, 284, 1201, 3219, 81, 31157, 2593, 32, 311, 2208, 346, 610, 2726, 46, 2388, 772, 858, 5601, 35, 347, 658, 20, 5601, 36, 347, 8268, 20, 5601, 37, 347, 12192, 3537, 25, 10000, 4145, 858, 36, 772, 1251, 804, 347, 35, 33407, 1251, 804, 347, 36, 33407, 1251, 804, 347, 37, 18694, 858, 36, 6457, 10000, 4145, 858, 48, 6060, 1344, 377, 858, 855, 2388, 22639, 284, 1201, 3219, 81, 31157, 2593, 32, 311, 2208, 346, 610, 26542, 26, 1664, 81, 31157, 2593, 27, 284, 1201, 3219, 81, 31157, 2593, 32, 311, 2208, 26, 2700, 30, 3177, 27, 610, 26542, 26, 1664, 81, 31157, 2593, 27, 284, 1201, 3219, 81, 31157, 2593, 32, 311, 2208, 26, 1294, 47, 2700, 27, 610, 26542, 26, 1664, 81, 31157, 2593, 27, 284, 1201, 3219, 81, 31157, 2593, 32, 311, 2208, 26, 15917, 47, 2700, 27, 610, 26542, 26, 1664, 81, 31157, 2593, 27, 284, 1201, 3219, 81, 31157, 2593, 32, 311, 2208, 26, 15917, 47, 2700, 30, 5081, 47, 2700, 27, 610, 26542, 26, 1664, 81, 31157, 2593, 27, 284, 1201, 3219, 81, 31157, 2593, 32, 311, 2208, 26, 1815, 27, 610, 596, 26, 1664, 81, 31157, 2593, 27, 284, 1201, 3219, 81, 31157, 2593, 32, 311, 2208, 26, 1815, 30, 3177, 27, 610, 596, 26, 1664, 81, 31157, 2593, 27, 284, 1201, 3219, 81, 31157, 2593, 32, 311, 2208, 26, 15917, 47, 1815, 27, 610, 596, 26, 1664, 81, 31157, 2593, 27, 284, 1201, 3219, 81, 31157, 2593, 32, 311, 2208, 26, 15917, 47, 1815, 30, 5081, 47, 2700, 27, 610, 596, 26, 1664, 81, 31157, 2593, 27, 284, 1201, 3219, 81, 31157, 2593, 32, 311, 2208, 26, 1815, 30, 5081, 47, 2700, 27, 610, 596, 26, 1664, 81, 31157, 2593, 27, 203, 589, 894, 81, 2208, 26, 1664, 81, 31157, 2593, 711, 284, 540, 280, 26671, 2593, 32, 68, 15736, 4397, 346, 284, 1596, 44, 291, 706, 280, 3219, 81, 31157, 2593, 32, 311, 2208, 922, 4434, 463, 3310, 31, 42, 683, 284, 2940, 23174, 11867, 924, 44, 291, 706, 280, 3219, 81, 31157, 2593, 32, 311, 2208, 346, 284, 540, 32, 2208, 26, 605, 27, 284, 1201, 596, 26, 100, 27, 610, 596, 26, 1664, 81, 31157, 2593, 27, 203, 589, 894, 81, 2208, 81, 1070, 81, 761, 26, 1664, 81, 31157, 2593, 30, 3691, 1515, 711, 284, 296, 280, 3691, 1515, 32, 2524, 440, 5937, 32, 2593, 657, 284, 296, 32, 1821, 26, 1664, 81, 31157, 2593, 32, 311, 2208, 1157, 284, 540, 280, 26671, 2593, 32, 68, 15736, 4397, 26, 466, 26, 88, 471, 645, 81, 761, 47, 1815, 27, 284, 1201, 596, 26, 100, 27, 610, 596, 26, 1664, 81, 31157, 2593, 27, 203, 589, 894, 81, 3574, 26, 1664, 81, 31157, 2593, 711, 284, 1201, 3219, 81, 31157, 2593, 610, 3219, 81, 31157, 2593, 284, 3051, 280, 3219, 81, 31157, 2593, 32, 2232, 81, 1251, 346, 284, 1201, 3051, 610, 3051, 284, 1201, 3051, 610, 3219, 81, 31157, 2593, 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, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 7, 7, 7, 6, 7, 7, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 7, 7, 7, 6, 7, 7, 6, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 7, 7, 7, 6, 7, 7, 6, 7, 6, 6, 6, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 7, 7, 7, 6, 7, 7, 6, 8, 7, 8, 6, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 7, 7, 7, 6, 7, 7, 6, 8, 7, 8, 6, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 7, 7, 7, 6, 7, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 7, 7, 7, 6, 7, 7, 6, 7, 6, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 7, 7, 7, 6, 7, 7, 6, 7, 6, 6, 6, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 7, 7, 7, 6, 7, 7, 6, 8, 7, 8, 6, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 7, 7, 7, 6, 7, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 7, 7, 7, 6, 7, 7, 6, 7, 6, 6, 7, 8, 6, 4, 4, 6, 7, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 2, 2, 3, 3, 3, 6, 6, 11, 11, 11, 10, 11, 11, 10, 9, 8, 10, 10, 10, 10, 3, 3, 4, 5, 5, 4, 4, 4, 7, 7, 10, 10, 10, 9, 10, 10, 9, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 6, 7, 6, 4, 4, 6, 7, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 1, 1, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 2, 2, 5, 6, 5, 8, 8, 8, 8, 7, 8, 8, 7, 2, 2, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 9, 8, 6, 8, 8, 7, 8, 6, 2, 2, 3, 6, 7, 6, 4, 4, 6, 7, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 5, 5, 5, 4, 4, 5, 5, 5, 2, 2, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 2, 2, 3, 4, 4, 7, 7, 7, 6 ]

[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 8, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 9, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 10, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 2, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 4, 4, 3, 1, 1, 0, 0, 0, 0 ]

[ 465, 5237, 203, 465, 2322, 203, 1070, 29947, 1188, 4705, 30, 15363, 203, 1070, 29947, 32, 2501, 32, 858, 1188, 894, 203, 1070, 29947, 32, 2501, 32, 3789, 1188, 2443, 203, 1070, 29947, 32, 2501, 32, 101, 2452, 1188, 309, 2452, 203, 1070, 1673, 2304, 32, 2501, 32, 1832, 81, 8121, 1188, 1968, 81, 8121, 203, 1648, 81, 800, 280, 3941, 1648, 20, 203, 325, 5237, 32, 1648, 81, 1338, 2867, 36, 79, 333, 308, 36, 30, 225, 41, 27, 556, 5237, 32, 1648, 81, 1338, 2867, 36, 79, 848, 308, 36, 30, 225, 41, 711, 284, 1459, 440, 25796, 30, 343, 5519, 543, 7171, 1503, 225, 36, 32, 41, 432, 4262, 7144, 284, 5237, 32, 4775, 26, 35, 27, 203, 3563, 1515, 81, 668, 280, 5034, 1515, 81, 668, 280, 1665, 203, 325, 2322, 32, 426, 610, 330, 28950, 950, 284, 15525, 68, 18524, 81, 3197, 280, 2322, 32, 12757, 32, 371, 463, 16555, 18524, 81, 3197, 370, 9142, 284, 2181, 280, 5237, 32, 6118, 31445, 284, 436, 1638, 328, 2181, 44, 291, 415, 1638, 32, 15990, 12664, 30083, 5207, 31, 1515, 47, 7831, 324, 15525, 68, 18524, 81, 3197, 280, 1638, 32, 2998, 463, 47, 11968, 35, 79, 324, 5237, 32, 6118, 32, 2546, 26, 626, 27, 284, 415, 15525, 68, 18524, 81, 3197, 44, 291, 6971, 1515, 81, 668, 280, 428, 500, 32, 983, 32, 2524, 26, 16555, 18524, 81, 3197, 30, 330, 1017, 12357, 291, 5034, 1515, 81, 668, 280, 428, 500, 32, 983, 32, 2524, 26, 16555, 18524, 81, 3197, 30, 330, 1356, 12357, 203, 605, 81, 2536, 280, 41449, 6074, 33, 1588, 33, 1588, 35, 370, 3083, 2107, 1771, 33, 86, 5519, 543, 32, 35, 370, 400, 330, 1771, 33, 100, 4903, 1515, 32, 35, 16578, 1090, 2726, 6074, 33, 1427, 33, 86, 5519, 543, 9299, 101, 25, 904, 1503, 81, 800, 30, 3083, 2107, 10958, 1392, 370, 400, 330, 10229, 370, 400, 330, 10229, 31, 26942, 370, 400, 330, 10229, 31, 3602, 370, 400, 330, 35342, 16578, 1090, 1481, 203, 1393, 81, 1515, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 203, 862, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 1393, 81, 1515, 30, 313, 843, 12941, 313, 9085, 330, 843, 25, 3362, 3107, 203, 979, 3051, 30, 29141, 30, 2276, 328, 2322, 32, 11905, 26, 500, 32, 983, 32, 2524, 26, 1393, 81, 1515, 30, 313, 843, 2131, 44, 284, 436, 803, 328, 2276, 44, 291, 1519, 280, 2322, 32, 983, 32, 2524, 26, 2388, 30, 803, 27, 291, 415, 1519, 32, 20643, 440, 86, 5519, 543, 32, 775, 10280, 324, 7275, 280, 2322, 32, 983, 32, 2998, 26, 2388, 5594, 31, 35, 79, 324, 706, 81, 2536, 32, 1689, 26, 400, 2726, 6074, 33, 6921, 9708, 101, 33, 7257, 81, 40182, 25, 904, 7275, 30, 353, 3037, 843, 9708, 101, 33, 86, 5519, 543, 32, 775, 20, 904, 7275, 5259, 203, 325, 646, 2322, 32, 12757, 32, 371, 463, 4409, 1781, 44044, 3746, 683, 610, 330, 1815, 950, 284, 1447, 81 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 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, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 5, 6, 6, 6, 4, 6, 4, 3, 3, 5, 4, 4, 5, 4, 2, 2, 5, 6, 6, 6, 4, 6, 4, 3, 3, 5, 4, 4, 5, 4, 1, 1, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 6, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 0, 1, 1, 3, 4, 2, 2, 4, 4, 1, 1, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 6, 2, 2, 4, 4, 6, 7, 5, 2, 2, 3, 3, 3, 3, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 5, 5, 9, 9, 9, 9, 8, 8, 11, 12, 11, 13, 13, 10, 9, 6, 6, 10, 11, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 7, 7, 7, 6, 6, 11, 10, 11, 9, 10, 9, 10, 10, 10, 10, 9, 9, 11, 11, 4, 4, 7, 7, 7, 6, 6, 11, 10, 11, 9, 10, 9, 10, 10, 10, 10, 9, 9, 11, 11, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 4, 4, 4, 7, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 3, 3, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 1, 1, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 6, 6, 6, 5, 5, 7, 7, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 4, 3, 7, 6, 7, 5, 6, 5, 6, 6, 6, 5, 5, 7, 7, 1, 1, 1, 3, 3, 3, 3, 3, 3, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 8, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 5, 5, 8, 8, 12, 13, 11, 12, 11, 12, 11, 10, 11, 9, 6, 6, 10, 10, 9, 10, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 10, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 11, 0, 1, 1, 2, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 3, 3, 5, 5, 1, 1, 5 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 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, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 4, 4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 8, 8, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 3, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 3, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 10, 10, 0, 2, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 1, 1, 2, 3, 3, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 13, 13, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 0, 14, 14, 1, 1, 1, 1, 14, 14, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 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, 1, 2, 1, 1, 3, 0, 15, 15, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 15, 15, 0 ]

[ 6045, 81, 9968, 81, 1167, 81, 2665, 280, 301, 284, 330, 681, 25, 499, 330, 1167, 370, 284, 330, 4151, 25, 499, 428, 4456, 5053, 6298, 25, 499, 225, 38, 42, 835, 291, 5053, 1617, 25, 499, 225, 38, 42, 835, 291, 5053, 681, 16436, 499, 225, 35, 40, 111, 3701, 1481, 203, 111, 203, 6045, 81, 19041, 81, 1167, 81, 2665, 280, 301, 284, 330, 681, 25, 499, 330, 1167, 370, 284, 330, 4151, 25, 499, 428, 291, 5053, 22988, 25, 499, 225, 35, 40, 835, 291, 5053, 86, 625, 25, 499, 225, 35, 40, 835, 291, 5053, 1657, 25, 499, 225, 35, 40, 835, 291, 5053, 16671, 1036, 25, 499, 225, 35, 40, 111, 284, 1481, 203, 111, 203, 6045, 81, 2403, 81, 1167, 81, 2665, 280, 301, 284, 330, 681, 25, 499, 330, 1167, 370, 284, 330, 4151, 25, 499, 428, 291, 5053, 681, 16436, 499, 225, 35, 40, 111, 284, 1481, 203, 111, 203, 6045, 81, 5243, 81, 1167, 81, 2665, 280, 301, 284, 330, 681, 25, 499, 330, 1167, 370, 284, 330, 4151, 25, 499, 428, 291, 5053, 11357, 25, 499, 225, 35, 835, 291, 5053, 98, 38, 81, 1141, 25, 499, 225, 36, 835, 291, 5053, 1141, 81, 34, 81, 626, 34, 25, 499, 225, 35, 40, 835, 291, 5053, 1141, 81, 35, 81, 626, 34, 25, 499, 225, 35, 40, 111, 3701, 1481, 203, 111, 203, 6045, 81, 9968, 81, 2859, 81, 2665, 280, 301, 284, 330, 681, 25, 499, 330, 4519, 370, 284, 330, 2810, 25, 499, 330, 9968, 81, 102, 370, 284, 330, 13488, 25, 499, 330, 45358, 25, 203, 111, 203, 6045, 81, 2403, 81, 2859, 81, 2665, 280, 301, 284, 330, 681, 25, 499, 330, 4519, 370, 284, 330, 2810, 25, 499, 330, 2403, 81, 102, 370, 284, 330, 13488, 25, 499, 330, 45358, 25, 203, 111, 203, 6045, 81, 5243, 81, 2859, 81, 2665, 280, 301, 284, 330, 681, 25, 499, 330, 4519, 370, 284, 330, 2810, 25, 499, 330, 5243, 81, 102, 370, 284, 330, 13488, 25, 499, 330, 45358, 25, 203, 111, 203, 6045, 81, 1274, 81, 2665, 280, 301, 284, 330, 681, 25, 499, 330, 1274, 370, 284, 330, 2872, 81, 681, 25, 499, 330, 900, 672, 370, 284, 330, 6299, 25, 499, 225, 40, 38, 30, 284, 330, 1357, 25, 499, 330, 2403, 81, 102, 370, 284, 330, 1986, 25, 499, 330, 5243, 81, 102, 370, 284, 330, 14663, 25, 499, 1665, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]

[ 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 6, 6, 4, 4, 5, 5, 9, 9, 7, 7, 8, 8, 6, 5, 5, 9, 9, 7, 7, 8, 8, 6, 5, 5, 9, 9, 7, 7, 8, 8, 6, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 6, 6, 4, 4, 5, 5, 9, 9, 7, 7, 8, 8, 6, 5, 5, 9, 9, 9, 7, 7, 8, 8, 6, 5, 5, 9, 9, 7, 7, 8, 8, 6, 5, 5, 9, 9, 9, 7, 7, 8, 8, 6, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 6, 6, 4, 4, 5, 5, 9, 9, 7, 7, 8, 8, 6, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 6, 6, 4, 4, 5, 5, 9, 9, 7, 7, 8, 6, 5, 5, 9, 9, 9, 9, 9, 7, 7, 8, 6, 5, 5, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 6, 5, 5, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 6, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 6, 6, 4, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 6, 6, 4, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 6, 6, 4, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 6, 6, 4, 4, 5, 5, 3, 3, 3, 6, 6, 4, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 3, 2, 2, 1, 1, 1, 1, 2, 2, 5, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 1, 2, 1, 1, 2, 2, 5, 2, 2, 1, 1, 2, 1, 1, 2, 2, 7, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 5, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 7, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 2, 2, 1, 2, 5, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 2, 2, 1, 2, 5, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 2, 2, 1, 2, 5, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 2, 2, 2, 1, 2, 5, 5, 2, 2, 2, 2, 2, 1, 2, 7, 7, 1, 1, 1, 2, 2, 2, 1, 2, 9, 9, 1, 1, 1, 2, 2, 2, 1, 2, 11, 11, 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 ]

[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 30, 20654, 203, 1070, 40096, 431, 2531, 32, 26518, 431, 2531, 1188, 3081, 1972, 203, 465, 316, 203, 1070, 40096, 431, 2531, 32, 2304, 1188, 12780, 203, 1070, 3619, 1287, 2518, 32, 716, 32, 1225, 486, 32, 2021, 1188, 19741, 1139, 7167, 885, 203, 1070, 40096, 431, 2531, 32, 1225, 486, 32, 27027, 1188, 506, 8643, 2573, 493, 203, 465, 5741, 203, 505, 2116, 505, 280, 313, 828, 272, 2523, 90, 819, 20, 203, 505, 11794, 505, 280, 313, 10581, 225, 36, 34, 35, 36, 30, 886, 11929, 101, 5412, 20, 203, 505, 1648, 505, 280, 313, 34, 32, 35, 20, 203, 505, 42086, 505, 280, 313, 828, 272, 2523, 90, 819, 20, 203, 505, 1935, 505, 280, 313, 380, 108, 34, 36, 36, 50, 1008, 2713, 32, 7589, 20, 203, 505, 770, 505, 280, 313, 16202, 225, 35, 42, 30, 225, 36, 34, 35, 41, 20, 203, 4666, 1139, 81, 39369, 81, 14137, 280, 3037, 722, 65, 2739, 392, 313, 10870, 392, 313, 34004, 392, 313, 66, 1194, 14406, 69, 392, 313, 1225, 486, 32, 18833, 392, 39395, 40368, 392, 313, 14459, 32, 1771, 1446, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 1683, 32620, 3886, 26819, 26, 26819, 711, 284, 438, 81, 8231, 280, 3177, 284, 665, 1156, 1664, 3207, 784, 30, 1688, 81, 3607, 1057, 751, 35, 32, 2901, 7831, 291, 630, 32, 2024, 81, 3607, 280, 1688, 81, 3607, 284, 665, 1505, 26, 784, 711, 291, 442, 630, 1114, 1206, 32620, 300, 81, 1553, 346, 284, 665, 617, 1206, 32620, 300, 81, 1553, 26, 784, 711, 291, 646, 81, 32620, 300, 81, 5607, 280, 316, 32, 6993, 440, 609, 424, 27976, 646, 16673, 3424, 657, 291, 15941, 300, 81, 5607, 280, 316, 32, 6993, 463, 609, 424, 27976, 16673, 3424, 683, 291, 436, 4950, 1628, 328, 10703, 26, 1676, 26, 784, 32, 2024, 81, 3607, 8531, 324, 415, 2069, 26, 1206, 81, 32620, 300, 81, 5607, 32, 32852, 26, 928, 490, 848, 225, 34, 44, 400, 442, 2933, 324, 4348, 2069, 26, 32620, 300, 81, 5607, 32, 32852, 26, 928, 490, 848, 225, 34, 44, 400, 442, 3177, 284, 665, 3809, 26, 784, 711, 291, 12780, 26, 4666, 1139, 81, 39369, 81, 14137, 27, 291, 5246, 486, 81, 1131, 280, 19741, 1139, 7167, 885, 32, 1070, 81, 5660, 46661, 291, 309, 2161, 81, 2810, 280, 5246, 486, 81, 1131, 32, 3963, 32, 371, 440, 2117, 56, 657, 291, 310, 545, 1601, 280, 309, 2161, 81, 2810, 77, 36, 79, 291, 7450, 280, 309, 2161, 81, 2810, 77, 37, 79, 291, 310, 11179, 280, 309, 2161, 81, 2810, 77, 38, 79, 291, 6885, 280, 1605, 291, 415, 646, 313, 613, 7383, 20, 328, 5246, 486, 81, 1131, 32, 3963, 44, 324, 6885, 32, 1689, 15520, 2665, 563, 313, 34004, 392, 1014, 313, 1141, 563, 3447, 81, 470, 563, 3447, 613, 7383, 563, 1605, 1540, 1748, 291, 415, 310, 545, 1601, 333, 225, 35, 34, 34, 461, 7450, 610, 225, 34, 32, 36, 44, 324, 309, 2161, 81, 2810 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 2, 2, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 5, 5, 7, 9, 9, 11, 10, 11, 11, 11, 9, 5, 5, 7, 10, 13, 13, 13, 13, 13, 13, 12, 13, 12, 13, 12, 8, 8, 9, 7, 7, 7, 9, 7, 7, 8, 11, 14, 14, 14, 14, 13, 14, 13, 14, 13, 9, 9, 10, 8, 8, 8, 10, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 7, 7, 6, 6, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 10, 10, 10, 9, 10, 8, 9, 8, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 7, 8, 7, 4, 4, 6, 6, 8, 8, 8, 7, 8, 7, 4, 4, 7, 6, 6, 8, 8, 8, 7, 8, 7, 4, 4, 6, 6, 4, 4, 5, 6, 9, 9, 9, 7, 7, 9, 9, 9, 8, 9, 5, 5, 5, 9, 10, 9, 13, 13, 11, 13, 13, 10, 10, 13, 13, 11, 15, 15, 15, 13, 17, 17, 17, 15, 14, 10, 4, 4, 5, 8, 8, 7, 7, 8, 8, 8, 6, 6, 7, 7, 8, 8, 8, 5, 5, 5, 10, 10, 10 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 1, 6, 4, 4, 0, 0, 0, 0, 5, 5, 0, 0, 1, 2, 2, 1, 4, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 15, 15, 1, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 0, 0, 3, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 4, 4, 4, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 4, 4, 7, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 7, 7, 7, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 4, 4, 8, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 8, 8, 8, 0, 0, 0 ]

[ 465, 5237, 30, 2192, 30, 1133, 30, 6234, 30, 27374, 203, 823, 358, 3285, 44, 334, 665, 1156, 1664, 3207, 630, 30, 13363, 30, 5868, 8063, 284, 630, 32, 5039, 7888, 280, 13363, 32, 5039, 7888, 346, 284, 630, 32, 24239, 280, 1133, 32, 1003, 346, 474, 5868, 334, 665, 1156, 466, 3207, 630, 8063, 284, 442, 330, 19602, 7846, 91, 9726, 101, 9905, 904, 308, 630, 32, 5039, 7888, 30, 1133, 32, 20834, 26, 6611, 58, 6069, 63, 6069, 69, 370, 1133, 32, 1696, 1003, 26, 630, 32, 24239, 829, 829, 829, 203, 823, 3042, 8155, 44, 334, 665, 1156, 1664, 3207, 630, 30, 13363, 30, 5868, 8063, 284, 630, 32, 5039, 7888, 280, 13363, 32, 5039, 7888, 346, 284, 630, 32, 24239, 280, 1133, 32, 1003, 346, 474, 5868, 334, 665, 1156, 466, 3207, 630, 8063, 284, 442, 330, 6755, 72, 7846, 91, 9726, 101, 9905, 904, 308, 630, 32, 5039, 7888, 30, 1133, 32, 20834, 26, 6611, 58, 6069, 63, 6069, 69, 370, 1133, 32, 1696, 1003, 26, 630, 32, 24239, 829, 829, 829, 203, 823, 47167, 44, 334, 665, 1156, 1664, 3207, 630, 30, 5868, 280, 1665, 8063, 284, 630, 32, 24239, 280, 5868, 461, 1133, 32, 1003, 346, 474, 5868, 556, 1665, 334, 665, 1156, 466, 3207, 630, 8063, 284, 442, 330, 16718, 7846, 101, 9905, 904, 308, 630, 32, 24239, 461, 1133, 32, 20834, 26, 6611, 58, 6069, 63, 6069, 69, 370, 1133, 32, 1696, 1003, 26, 630, 32, 24239, 829, 829, 829, 203, 823, 506, 33652, 44, 334, 665, 1156, 1664, 3207, 630, 30, 9750, 8063, 284, 630, 3667, 7101, 280, 9750, 284, 630, 32, 1293, 280, 47167, 346, 334, 665, 3111, 26, 630, 30, 1422, 47, 2521, 8063, 284, 630, 32, 1293, 280, 1665, 284, 1596, 44, 397, 415, 1422, 44, 291, 1201, 19326, 26, 630, 3667, 7101, 30, 330, 5261, 25, 2588, 1422, 291, 630, 3667, 7101, 32, 5261, 26, 34835, 30, 1422, 829, 397, 1603, 280, 630, 3667, 7101, 32, 1978, 346, 397, 1201, 6937, 26, 1603, 30, 308, 19602, 30, 3042, 8155, 30, 47167, 27, 2588, 330, 5790, 10774, 1603, 904, 100, 25, 904, 1603, 397, 630, 32, 1293, 280, 1603, 284, 2940, 21300, 19497, 44, 397, 3636, 284, 2940, 12305, 21863, 44, 397, 3555, 630, 3667, 7101, 397, 3097, 284, 2940, 34835, 30, 3124, 44, 397, 1459, 330, 924, 12454, 3124, 284, 2940, 44, 397, 27374, 32, 1216, 81, 14806, 346, 334, 665, 1156, 13707, 3207, 630, 8063, 284, 442, 6611, 91, 44, 904, 101, 25, 904, 308, 630, 3667, 7101, 32, 5123, 81, 1744, 32, 88, 81, 12300, 30, 630, 32, 1293, 829, 203, 823, 570, 3790, 13069, 690, 26, 506, 33652, 8063, 334, 665, 1156, 1664, 3207, 630, 30, 9750, 8063, 284, 506, 33652, 3667, 1664, 3207, 630, 30, 9750, 829, 284, 630, 3667, 21803, 280, 428, 13198, 225, 34, 32, 34, 34, 1481, 904, 101, 78, 96, 25, 904, 1133, 32, 27749, 346, 1481, 284, 630, 3667, 1366, 280, 1133, 32, 1003, 346, 284, 630, 3667, 22331, 280, 2933, 334, 665, 3111, 26, 630, 30, 1422, 47 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 9, 10, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 9, 9, 7, 7, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 9, 11, 12, 12, 11, 11, 12, 13, 11, 9, 7, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 9, 10, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 9, 9, 7, 7, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 9, 11, 12, 12, 11, 11, 12, 13, 11, 9, 7, 0, 1, 1, 1, 1, 1, 3, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 11, 12, 11, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 3, 3, 5, 8, 8, 8, 8, 6, 6, 7, 9, 10, 8, 8, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 10, 12, 13, 13, 12, 12, 13, 14, 12, 10, 7, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 5, 5, 7, 7, 7, 7, 9, 11, 11, 12, 13, 11, 11, 13, 13, 11, 9, 8, 8, 12, 13, 11, 12, 11, 11, 11, 11, 11, 6, 6, 8, 8, 11, 12, 10, 11, 10, 6, 6, 7, 9, 9, 9, 9, 11, 10, 10, 11, 10, 10, 10, 9, 7, 10, 10, 10, 10, 10, 10, 8, 8, 6, 6, 9, 10, 8, 8, 5, 5, 6, 7, 6, 6, 6, 5, 5, 6, 7, 6, 6, 6, 8, 9, 10, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 8, 10, 10, 8, 5, 5, 6, 6, 6, 10, 11, 11, 11, 10, 2, 2, 3, 4, 4, 4, 4, 3, 3, 5, 8, 8, 8, 8, 8, 6, 6, 7, 10, 11, 9, 10, 10, 10, 8, 9, 9, 9, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 3, 3, 8, 7, 8, 8, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 7, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 8, 8, 10, 11, 10, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 2, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 2, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 4, 4, 1, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 0, 2, 0, 0, 1, 1, 3, 1, 3, 3, 3, 1, 1, 4, 1, 4, 4, 4, 0, 1, 2, 3, 3, 1, 1, 5, 5, 5, 5, 5, 5, 0, 1, 1, 0, 1, 1, 6, 6, 6, 0, 2, 2, 2, 1, 3, 3, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 3, 2, 2, 0, 5, 5, 1, 1, 1, 2, 2, 1, 2, 5, 5, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 2, 2, 2, 3 ]

[ 465, 42406, 203, 465, 2361, 203, 465, 1133, 203, 465, 22045, 203, 465, 5167, 203, 1070, 5167, 1188, 4448, 984, 30, 9476, 924, 30, 20955, 203, 1070, 273, 38200, 1188, 4479, 203, 1070, 273, 38200, 32, 525, 1580, 1188, 10726, 44970, 203, 1070, 638, 1237, 1188, 8059, 2710, 203, 1070, 638, 11452, 1188, 516, 3222, 984, 30, 516, 3222, 2554, 924, 30, 766, 284, 27507, 444, 984, 30, 27507, 444, 2554, 924, 203, 1070, 638, 1986, 1188, 25333, 1397, 30, 394, 38200, 1397, 30, 4082, 203, 1070, 638, 1040, 32, 13558, 1188, 11322, 81, 267, 81, 731, 30, 438, 81, 13558, 444, 203, 823, 4448, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2043, 30, 353, 3408, 47, 2551, 2710, 32, 2035, 30, 353, 1503, 47, 2551, 2710, 32, 1648, 30, 353, 2196, 47, 2551, 2710, 32, 1696, 711, 291, 630, 32, 1580, 280, 2043, 291, 630, 32, 6967, 81, 6482, 280, 630, 32, 1580, 32, 6989, 438, 646, 1665, 291, 630, 32, 2035, 280, 3408, 291, 630, 32, 1648, 280, 1503, 291, 630, 32, 1696, 280, 2196, 284, 665, 745, 26, 784, 30, 4125, 30, 2803, 30, 1678, 30, 5081, 47, 2700, 711, 291, 3636, 22210, 346, 284, 665, 11656, 26, 784, 30, 4125, 30, 2803, 30, 1678, 30, 5081, 711, 291, 6341, 280, 596, 26, 410, 26, 1003, 32, 1003, 5156, 291, 706, 280, 630, 32, 1832, 81, 605, 26, 2132, 30, 5081, 27, 291, 12841, 280, 330, 641, 25, 415, 1678, 813, 330, 525, 25, 291, 1984, 280, 5461, 101, 555, 23, 101, 20, 904, 308, 13627, 30, 630, 32, 2035, 27, 291, 2803, 280, 301, 324, 330, 1959, 950, 4125, 30, 324, 330, 496, 950, 630, 32, 1580, 32, 496, 30, 324, 330, 5561, 950, 6341, 30, 324, 330, 605, 950, 706, 30, 324, 330, 9569, 950, 630, 32, 9569, 26, 605, 30, 6341, 471, 324, 330, 1643, 950, 330, 1260, 25, 291, 320, 291, 442, 1984, 30, 2803, 284, 665, 1968, 81, 605, 26, 784, 30, 2803, 30, 5081, 47, 2700, 711, 291, 415, 646, 5081, 44, 324, 706, 280, 301, 400, 330, 2062, 950, 630, 32, 1648, 30, 400, 330, 3325, 950, 630, 32, 1696, 30, 400, 330, 1104, 950, 2803, 324, 320, 291, 813, 44, 324, 706, 280, 2803, 291, 442, 2361, 32, 16958, 26, 605, 30, 5456, 4044, 4310, 370, 370, 14589, 2847, 284, 665, 8191, 26, 784, 30, 706, 30, 6341, 711, 291, 309, 280, 630, 1114, 954, 39, 26, 605, 474, 630, 32, 1580, 32, 725, 81, 678, 27, 291, 442, 630, 1114, 954, 39, 4912, 101, 23, 101, 23, 101, 20, 904, 308, 5561, 30, 309, 30, 630, 32, 1580, 32, 7241, 81, 678, 490, 284, 477, 16099, 284, 665, 617, 954, 39, 26, 605, 711, 291, 442, 42406, 32, 954, 39, 26, 605, 32, 4434, 463, 3310, 31, 42, 12097, 6949, 13995, 346, 284, 665, 1505, 81, 1986, 26, 784, 30, 5127, 711, 291, 415, 646, 5127, 32, 1253, 461, 630, 32, 1580, 32, 13225, 81, 1237, 81, 731, 44, 324, 415, 438, 81, 13558, 444, 26, 5243 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 5, 7, 7, 6, 7, 4, 4, 4, 5, 7, 7, 6, 7, 4, 4, 4, 5, 7, 7, 6, 7, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 10, 10, 13, 12, 13, 12, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 6, 6, 9, 9, 7, 7, 7, 7, 9, 9, 4, 4, 6, 6, 9, 9, 9, 9, 9, 7, 7, 9, 8, 8, 9, 10, 8, 4, 4, 6, 6, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 10, 11, 9, 10, 7, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 10, 11, 10, 11, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 7, 7, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 5, 5, 5, 8, 8, 9, 9, 12, 12, 10, 11, 12, 9, 9, 9, 12, 12, 10, 11, 12, 9, 9, 9, 12, 12, 10, 9, 9, 5, 5, 6, 6, 6, 9, 9, 4, 4, 5, 7, 8, 7, 8, 7, 7, 9, 8, 11, 11, 9, 11, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 9, 9, 11, 12, 10, 11, 11, 11, 8, 4, 4, 5, 7, 8, 8, 7, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 9, 9, 9, 11, 12, 10, 11, 11, 11, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 10, 11, 11, 10, 13, 12, 13, 12, 14, 14, 14, 14, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 9, 6, 6, 8, 9, 7, 8, 8, 8, 8, 8, 5, 5, 5, 7, 9, 9, 9, 9, 11 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 6, 6, 0, 7, 7, 0, 1, 2, 2, 7, 7, 0, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 7, 9, 0, 0, 9, 9, 0, 0, 0, 0, 10, 10, 0, 10, 10, 0, 10, 10, 0, 0, 10, 10, 0, 11, 11, 0, 1, 2, 11, 11, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 12, 12, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 2, 2, 2, 5, 0, 0, 2, 2, 2, 2, 2, 7, 0, 0, 2, 2, 2, 2, 2, 9, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 1, 1, 0, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 2, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 0, 2, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 1, 2, 7, 2, 2, 2, 1, 2, 9, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 11, 1, 2, 2, 2, 4, 4, 5, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 3, 3, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 0, 0, 4, 4, 4, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 1, 0, 3, 0, 2, 2, 2, 4, 4, 4, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 5, 2, 2, 2, 2, 4, 4, 1, 5, 5, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]

[ 465, 2919, 2208, 203, 465, 2322, 203, 465, 19571, 203, 465, 45301, 983, 203, 465, 787, 1909, 203, 465, 5237, 203, 465, 1340, 81, 7101, 81, 104, 42, 203, 465, 804, 94, 81, 6308, 203, 1647, 81, 983, 30, 617, 280, 2322, 32, 983, 32, 2998, 4064, 761, 8223, 203, 1855, 81, 983, 280, 2322, 32, 983, 32, 19573, 49149, 26, 500, 32, 983, 32, 2524, 26, 1647, 81, 983, 30, 2322, 32, 568, 1515, 30, 2322, 32, 568, 1515, 30, 2322, 32, 568, 1515, 490, 203, 589, 3185, 81, 2184, 2262, 284, 4118, 280, 2919, 2208, 32, 2828, 2825, 346, 284, 4118, 32, 669, 81, 1762, 12664, 12187, 31, 17255, 31, 2536, 683, 284, 4118, 32, 669, 81, 1762, 12664, 5937, 31, 1260, 31, 363, 31, 24088, 370, 2125, 1057, 2157, 81, 1508, 370, 1244, 47, 2700, 27, 284, 4118, 32, 669, 81, 1762, 12664, 17255, 31, 5843, 31, 761, 683, 284, 4118, 32, 669, 81, 1762, 12664, 1017, 370, 3466, 1057, 17255, 81, 24015, 370, 2125, 1057, 1689, 683, 284, 4118, 32, 669, 81, 1762, 12664, 2024, 31, 5660, 683, 284, 4118, 32, 669, 81, 1762, 12664, 3337, 31, 10950, 31, 761, 683, 284, 4118, 32, 669, 81, 1762, 12664, 10529, 370, 2125, 1057, 2157, 81, 1508, 370, 1244, 47, 2700, 27, 284, 4118, 32, 669, 81, 1762, 12664, 1821, 31, 761, 31, 2585, 31, 325, 31, 8968, 370, 827, 1057, 410, 683, 284, 4118, 32, 5820, 81, 1146, 39579, 1246, 81, 1132, 346, 284, 2075, 30, 2181, 280, 4118, 32, 2208, 81, 1132, 346, 284, 415, 2075, 32, 2024, 81, 5660, 438, 1665, 44, 291, 4118, 32, 731, 463, 11387, 6377, 1688, 3362, 1471, 769, 2024, 31, 5660, 11834, 284, 415, 2075, 32, 12187, 81, 17255, 81, 2536, 438, 1665, 44, 291, 2075, 32, 12187, 81, 17255, 81, 2536, 280, 1605, 284, 813, 44, 291, 2075, 32, 12187, 81, 17255, 81, 2536, 280, 787, 1909, 32, 2998, 26, 2184, 32, 12187, 81, 17255, 81, 2536, 27, 284, 415, 2069, 26, 1132, 27, 863, 225, 35, 44, 291, 4118, 32, 731, 463, 11387, 6377, 11114, 225, 35, 1509, 803, 619, 2793, 30, 1273, 904, 86, 2702, 4564, 904, 2069, 26, 1132, 490, 284, 2075, 32, 17255, 81, 3607, 280, 2322, 32, 983, 32, 35490, 26, 1132, 77, 34, 1130, 284, 442, 2075, 203, 589, 622, 81, 9535, 81, 1515, 81, 28950, 26, 3607, 711, 284, 6491, 81, 983, 81, 1696, 280, 2322, 32, 983, 32, 2808, 983, 26, 3607, 30, 1914, 81, 983, 27, 284, 6491, 81, 1515, 81, 1696, 280, 2322, 32, 983, 32, 7781, 26, 9535, 81, 983, 81, 1696, 27, 284, 442, 6491, 81, 1515, 81, 1696, 32, 3227, 26, 500, 32, 983, 32, 12595, 30, 45301, 983, 32, 12595, 27, 203, 589, 2866, 81, 1260, 81, 363, 81, 24088, 26, 17146, 30, 2568, 81, 426, 30, 1688, 81, 5660, 711, 284, 2361, 81, 800, 280, 13183, 32, 452, 81, 1260, 346, 284, 2361, 81, 15705, 280, 2568, 81, 426, 474, 5608, 1260, 25, 284, 2361, 81, 3607, 280, 2322, 32, 983, 32, 2524, 26, 2024, 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, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 4, 4, 4, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 7, 8, 8, 6, 6, 7, 8, 8, 6, 6, 7, 8, 8, 6, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 7, 6, 7, 7, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 8, 8, 8, 8, 5, 6, 7, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 6, 8, 8, 8, 8, 5, 6, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 6, 8, 8, 8, 8, 5, 6, 7, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 8, 8, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 5, 6, 6, 6, 4, 4, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 6, 6, 6, 6, 6, 4, 4, 3, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 3, 3, 4, 4, 4, 8, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 9, 11, 10, 11, 11, 11, 11, 11, 9, 2, 2, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 2, 2, 5, 6, 6, 6, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 7, 6, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 3, 6, 6, 6, 6, 5, 6, 5, 8, 7, 8, 6, 7, 5, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 5, 5, 7, 7, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7 ]

[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 5, 2, 2, 1, 1, 7, 2, 2, 1, 0, 10, 10, 1, 1, 2, 10, 10, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 11, 0, 2, 2, 2, 1, 1, 11, 11, 11, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 12, 0, 2, 2, 2, 2, 2, 1, 1, 12, 12, 12, 0, 2, 2, 2, 2, 2, 0, 0, 12, 12, 4, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 13, 1, 1, 1, 1, 1, 2, 13, 13, 13, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 15, 0, 11, 11, 1, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 3, 2, 1, 0, 12, 12, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 12, 12, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1 ]

[ 1070, 5295, 1188, 21414, 203, 1070, 5295, 1188, 551, 635, 5731, 203, 589, 8520, 3582, 26, 101, 711, 284, 309, 280, 309, 32, 7201, 346, 284, 415, 309, 610, 5307, 950, 291, 442, 1665, 284, 813, 44, 291, 442, 21414, 26, 410, 26, 101, 490, 203, 589, 1487, 3350, 26, 3242, 711, 284, 2678, 280, 1605, 284, 4345, 280, 4345, 32, 2998, 45830, 284, 3051, 280, 8520, 3582, 26, 3242, 77, 34, 1989, 284, 2678, 32, 1689, 26, 2388, 293, 284, 5417, 280, 225, 35, 45, 284, 2218, 2678, 44, 291, 42244, 280, 2678, 32, 3235, 26, 34, 27, 291, 415, 646, 42244, 44, 324, 4036, 291, 415, 5417, 610, 2069, 26, 3242, 711, 324, 1626, 291, 2841, 280, 8520, 3582, 26, 3242, 77, 2875, 1130, 291, 42244, 32, 1873, 280, 2841, 291, 2678, 32, 1689, 26, 1873, 27, 291, 5417, 1454, 225, 35, 291, 415, 5417, 610, 2069, 26, 3242, 711, 324, 1626, 291, 2091, 280, 8520, 3582, 26, 3242, 77, 2875, 1130, 291, 5417, 1454, 225, 35, 291, 42244, 32, 990, 280, 2091, 291, 2678, 32, 1689, 26, 990, 27, 284, 442, 3051, 203, 589, 1459, 1212, 26, 1528, 30, 10525, 711, 284, 6115, 280, 3330, 284, 436, 595, 328, 2155, 26, 9378, 711, 291, 6115, 1454, 2706, 102, 20, 284, 6115, 1454, 596, 26, 1528, 32, 695, 27, 284, 1459, 26, 5682, 27, 203, 589, 1459, 3350, 26, 2388, 30, 10525, 711, 284, 415, 646, 3051, 44, 291, 442, 284, 1459, 3350, 26, 2388, 32, 990, 30, 10525, 474, 225, 35, 27, 284, 1459, 1212, 26, 2388, 30, 10525, 27, 284, 1459, 3350, 26, 2388, 32, 1873, 30, 10525, 474, 225, 35, 27, 203, 2388, 280, 1487, 3350, 440, 38, 30, 225, 37, 30, 225, 39, 30, 225, 36, 30, 588, 30, 588, 30, 225, 41, 657, 203, 91, 30, 354, 280, 551, 635, 5731, 26, 2388, 471, 1605, 203, 5525, 595, 32, 16421, 2262, 284, 354, 32, 1689, 26, 91, 32, 1978, 1157, 203, 979, 1541, 328, 354, 44, 284, 1459, 26, 1251, 32, 695, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]

[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 6, 3, 3, 5, 3, 3, 4, 4, 4, 6, 8, 10, 10, 11, 10, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 6, 8, 7, 8, 7, 2, 2, 5, 6, 5, 6, 5, 2, 2, 4, 4, 5, 2, 2, 2, 3, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 6, 5, 5, 5, 4, 4, 5, 6, 6, 8, 9, 8, 5, 5, 4, 4, 6, 6, 8, 8, 10, 9, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 7, 8, 7, 4, 4, 6, 6, 7, 4, 4, 5, 6, 6, 8, 9, 8, 5, 5, 4, 4, 6, 6, 8, 8, 10, 9, 10, 9, 4, 4, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 6, 6, 9, 8, 2, 2, 4, 4, 6, 8, 7, 8, 6, 2, 2, 5, 6, 5, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 3, 3, 3, 2, 2, 5, 5, 7, 6, 7, 5, 5, 6, 6, 7, 5, 2, 2, 5, 5, 6, 5, 5, 5, 2, 2, 5, 5, 7, 6, 7, 5, 5, 6, 6, 7, 5, 0, 3, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 3, 2, 2, 5, 5, 5, 6, 5, 3, 0, 1, 1, 3, 4, 3, 1, 1, 5, 6, 5, 8, 7, 8, 7, 0, 1, 1, 1, 1, 1, 1, 1, 5, 7, 6, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 2, 1, 1, 0, 1, 1, 4, 4, 4, 0, 1, 0, 1, 1, 1, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 4, 4, 4, 8, 8, 8, 8, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 0, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 3, 3, 7, 1, 1, 1, 1, 1, 7, 7, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 3, 3, 0, 2, 0, 0, 3, 3, 0, 2, 1, 1, 1, 4, 4, 9, 0, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 0, 5, 5, 1, 2, 1, 2, 2, 2, 5, 5, 0, 1, 0, 0, 0, 4, 4, 0, 1, 0, 1, 2, 1, 1, 3, 3, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 4, 4, 0, 1, 0, 1, 2, 1, 1, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 8, 8, 0, 2, 1, 8, 8, 0, 2, 1, 0, 0, 2, 1, 0, 9, 9, 9, 9, 9, 9, 9, 1, 0, 1, 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 ]

[ 1482, 203, 465, 2322, 203, 465, 15798, 203, 465, 22977, 203, 465, 1133, 203, 465, 29590, 203, 1070, 5154, 107, 20673, 32, 2613, 1188, 10421, 30, 10421, 31597, 30, 37336, 924, 203, 823, 10421, 7233, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 3667, 1515, 280, 29590, 32, 4765, 86, 1433, 346, 284, 665, 28921, 26, 784, 711, 291, 22977, 32, 100, 41718, 26, 784, 3667, 1515, 27, 284, 665, 894, 81, 12724, 81, 2536, 81, 1174, 26, 784, 711, 291, 3320, 280, 10421, 26, 784, 3667, 1515, 30, 225, 37, 34, 27, 291, 909, 280, 323, 20, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 20, 291, 3320, 32, 470, 440, 678, 35, 392, 909, 27, 291, 3320, 32, 470, 440, 678, 36, 392, 909, 27, 291, 3320, 32, 470, 440, 678, 37, 392, 909, 27, 291, 630, 32, 5299, 26, 2613, 32, 891, 30, 225, 37, 34, 27, 291, 588, 351, 1133, 32, 7840, 26, 35, 27, 291, 3320, 32, 371, 81, 853, 440, 678, 35, 657, 291, 3320, 280, 10421, 26, 784, 3667, 1515, 30, 225, 37, 34, 30, 1847, 81, 1003, 47, 34, 27, 291, 630, 32, 5299, 26, 2613, 32, 891, 30, 225, 37, 34, 27, 291, 630, 32, 6549, 26, 2613, 32, 2040, 440, 678, 35, 2131, 291, 630, 32, 6549, 26, 2613, 32, 2040, 440, 678, 36, 2131, 291, 630, 32, 6549, 26, 2613, 32, 2040, 440, 678, 37, 2131, 291, 3320, 32, 470, 440, 678, 38, 392, 909, 27, 291, 630, 32, 5299, 26, 2613, 32, 891, 30, 225, 37, 34, 27, 291, 630, 32, 6549, 26, 2613, 32, 2040, 440, 678, 35, 2131, 291, 630, 32, 14846, 26, 2613, 32, 2040, 440, 678, 36, 2131, 291, 630, 32, 6549, 26, 2613, 32, 2040, 440, 678, 37, 2131, 291, 630, 32, 6549, 26, 2613, 32, 2040, 440, 678, 38, 2131, 284, 665, 894, 81, 9785, 26, 784, 711, 291, 3320, 280, 10421, 26, 784, 3667, 1515, 30, 225, 35, 34, 27, 291, 630, 32, 14846, 26, 2613, 32, 2040, 440, 9785, 2131, 291, 623, 630, 32, 23895, 26, 2597, 31597, 711, 324, 3320, 32, 371, 81, 853, 440, 9785, 657, 284, 665, 894, 81, 2560, 81, 9785, 26, 784, 711, 291, 3320, 280, 10421, 26, 784, 3667, 1515, 30, 225, 34, 30, 1847, 81, 1003, 47, 34, 27, 291, 3320, 32, 2560, 440, 9785, 35, 657, 291, 3320, 32, 2560, 440, 9785, 36, 657, 284, 665, 894, 81, 2157, 81, 7538, 26, 784, 711, 291, 3320, 280, 10421, 26, 784, 3667, 1515, 30, 225, 35, 34, 27, 291, 909, 280, 323, 20, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 20, 291, 3320, 32, 470, 440, 678, 392, 909, 27, 291, 630, 32, 5299, 26, 2613, 32, 891, 30, 225, 35, 34, 27, 291, 630, 32, 6549, 26, 2613, 32, 2040, 440, 678, 2131, 291, 630, 32, 5299, 26, 2613, 32, 371, 81, 853, 440, 678, 2113, 909, 27, 284, 665, 894, 81, 2157, 81, 6398, 26, 784, 711, 291, 3320, 280, 10421, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 8, 8, 9, 9, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 8, 7, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 4, 4, 6, 6, 8, 10, 9, 10, 8, 8, 9, 9, 8, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 11, 11, 4, 4, 7, 8, 7, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 11, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 8, 8, 9, 9, 8, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 11, 4, 4, 5, 9, 10, 9, 10, 10, 9, 5, 5, 9, 10, 10, 10, 9, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 8, 8, 9, 8, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 8, 8, 9, 9, 8, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 11, 11, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10 ]

[ 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 6, 6, 0, 6, 6, 0, 0, 7, 7, 1, 2, 0, 1, 2, 2, 7, 7, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 4, 4, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 1, 0 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 3363, 203, 465, 5237, 203, 465, 1933, 203, 465, 24297, 203, 465, 2322, 32, 983, 203, 465, 15798, 203, 465, 1619, 1356, 203, 1070, 1344, 4071, 1188, 409, 43736, 203, 1070, 29590, 1188, 19584, 24723, 974, 30, 8664, 86, 1433, 203, 297, 81, 2958, 37, 280, 5237, 32, 1648, 81, 1338, 77, 34, 79, 2377, 225, 37, 203, 1270, 44, 284, 15390, 203, 7343, 3270, 924, 44, 3701, 15390, 280, 596, 203, 1270, 44, 284, 1695, 800, 203, 7343, 3270, 924, 44, 3701, 1695, 800, 280, 596, 203, 1070, 638, 2282, 81, 22450, 1188, 308, 284, 2971, 972, 30, 18394, 2338, 30, 6160, 7233, 30, 803, 383, 1006, 2976, 30, 617, 3651, 30, 1930, 81, 1409, 28998, 30, 7116, 325, 203, 27, 203, 823, 516, 3350, 74, 3898, 70, 7233, 26, 2762, 7233, 711, 284, 665, 894, 81, 13079, 102, 26, 784, 711, 291, 4345, 280, 630, 32, 2208, 10385, 83, 772, 84, 48, 52, 377, 84, 772, 85, 48, 53, 377, 85, 855, 83, 22639, 291, 1418, 280, 630, 32, 2208, 41412, 78, 203, 46, 13079, 44, 5160, 1503, 347, 35, 32, 34, 20, 284, 12048, 44, 13079, 347, 525, 555, 1499, 32, 105, 37, 32, 1088, 33, 35, 43, 43, 43, 33, 74, 3898, 33, 4859, 413, 334, 333, 13079, 44, 2387, 2530, 347, 22189, 1681, 334, 333, 13079, 44, 2387, 2530, 36823, 284, 333, 3986, 772, 13079, 44, 853, 31, 1028, 2192, 3784, 83, 33, 84, 33, 878, 19284, 9278, 3986, 48, 334, 576, 13079, 44, 2387, 48, 203, 377, 13079, 44, 5160, 48, 2699, 683, 291, 376, 280, 2971, 972, 32, 74, 3898, 70, 26, 1621, 27, 291, 736, 280, 376, 26, 3242, 27, 291, 630, 32, 5299, 41412, 78, 203, 1888, 2593, 1503, 347, 35, 32, 34, 35254, 203, 46, 3986, 48, 52, 377, 3986, 48, 203, 2699, 370, 3775, 596, 26, 575, 490, 284, 665, 894, 81, 13079, 102, 81, 2543, 3242, 81, 731, 26, 784, 711, 291, 630, 32, 23895, 26, 22239, 30, 2971, 972, 32, 74, 3898, 70, 30, 2971, 972, 32, 1308, 3350, 1157, 284, 665, 894, 81, 13079, 102, 81, 1131, 81, 4108, 26, 784, 711, 291, 630, 32, 23895, 26, 18082, 30, 2971, 972, 32, 74, 3898, 70, 30, 1665, 27, 284, 665, 894, 81, 13079, 102, 81, 5790, 81, 5160, 26, 784, 711, 291, 1418, 280, 630, 32, 2208, 41412, 78, 203, 46, 13079, 44, 5160, 1503, 347, 35, 32, 34, 20, 291, 12048, 44, 13079, 347, 525, 555, 1499, 32, 105, 37, 32, 1088, 33, 35, 43, 43, 43, 33, 74, 3898, 33, 4859, 413, 284, 333, 13079, 44, 5160, 1681, 203, 377, 13079, 44, 5160, 48, 2699, 683, 291, 630, 32, 23895, 26, 324, 2971, 972, 32, 74, 3898, 70, 38106, 30, 2971, 972, 32, 74, 3898, 70, 30, 1418, 27, 284, 665, 894, 81, 13079, 102, 81, 2991, 26, 784, 711, 291, 4345, 280, 630, 32, 2208, 10385, 83, 772, 84, 48, 52, 377, 84, 772, 85, 48, 53, 377, 85, 855, 83, 22639, 291, 1418, 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, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 5, 6, 6, 6, 4, 5, 4, 3, 3, 4, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 4, 1, 2, 2, 3, 2, 2, 2, 6, 5, 5, 0, 1, 1, 4, 4, 4, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 8, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 8, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 8, 9, 9, 9, 7, 7, 10, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 8, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 7, 7, 9, 8, 9, 9, 9, 9, 7, 7, 9, 8, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6 ]

[ 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, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 11, 11, 11, 11, 11, 3, 3, 1, 3, 3, 3, 0, 0, 0, 12, 12, 12, 12, 0, 12, 3, 3, 1, 3, 3, 3, 0, 0, 0, 0, 13, 13, 0, 0, 0, 13, 13, 13, 13, 0, 13, 13, 0, 13, 13, 0, 13, 13, 0, 0, 0, 13, 13, 0, 13, 13, 0, 0, 0, 13, 13, 0, 13, 13, 0, 14, 14, 1, 1, 1, 1, 1, 2, 1, 1, 2, 14, 14, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 3, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0 ]

[ 465, 5237, 203, 465, 2361, 203, 465, 7744, 203, 29520, 280, 225, 35, 34, 203, 605, 280, 1605, 203, 1793, 2156, 26, 3731, 32, 6118, 77, 35, 614, 313, 100, 657, 619, 296, 44, 284, 1654, 280, 2385, 280, 225, 34, 284, 436, 1628, 328, 296, 44, 291, 415, 1628, 77, 34, 79, 610, 5100, 563, 324, 4036, 291, 3946, 280, 1628, 32, 2998, 346, 291, 415, 3946, 77, 35, 79, 610, 313, 2328, 72, 563, 324, 2830, 280, 2361, 32, 12474, 440, 4939, 2524, 26, 3028, 77, 36, 5979, 35, 5259, 324, 2830, 710, 3985, 785, 280, 1654, 324, 2830, 710, 998, 785, 280, 2385, 291, 4348, 3946, 77, 35, 79, 610, 313, 9718, 75, 563, 324, 2830, 280, 2361, 32, 12474, 440, 4939, 2524, 26, 3028, 77, 36, 5979, 35, 5259, 324, 1654, 280, 225, 34, 324, 2385, 280, 2069, 26, 2067, 710, 101, 24587, 4137, 3490, 324, 436, 595, 328, 2155, 26, 34, 30, 2385, 711, 400, 415, 2830, 710, 101, 24587, 4137, 8150, 91, 5795, 3985, 12132, 528, 1654, 1454, 225, 35, 324, 4036, 291, 813, 44, 324, 4036, 291, 415, 1654, 2377, 5596, 14984, 9394, 461, 330, 9512, 25, 328, 2830, 461, 330, 4474, 25, 328, 2830, 44, 324, 706, 32, 1689, 26, 2067, 27, 203, 1216, 440, 27882, 19190, 4897, 12211, 484, 1082, 13196, 484, 978, 1654, 2385, 657, 203, 979, 595, 328, 2155, 26, 35, 30, 2069, 26, 605, 8531, 284, 12211, 280, 11366, 1162, 605, 77, 91, 5795, 9512, 785, 429, 706, 77, 91, 31, 35, 5795, 9512, 3490, 319, 225, 35, 35, 35, 35, 36, 34, 319, 7744, 32, 4952, 26, 3812, 32, 35895, 26, 605, 77, 91, 5795, 4474, 785, 2610, 284, 13196, 280, 11366, 1162, 605, 77, 91, 5795, 4474, 785, 429, 706, 77, 91, 31, 35, 5795, 4474, 3490, 319, 225, 35, 35, 35, 35, 36, 42, 27, 3701, 1596, 44, 291, 415, 12211, 848, 225, 37, 28, 605, 77, 91, 5795, 929, 106, 785, 556, 13196, 848, 225, 37, 28, 605, 77, 91, 5795, 929, 107, 12132, 324, 4036, 291, 1459, 4912, 88, 904, 88, 904, 88, 904, 88, 904, 88, 904, 88, 904, 86, 904, 86, 20, 904, 308, 605, 77, 91, 5795, 9512, 2188, 706, 77, 91, 5795, 4474, 2188, 12211, 30, 706, 77, 91, 5795, 929, 106, 2188, 13196, 30, 706, 77, 91, 5795, 929, 107, 2188, 706, 77, 91, 5795, 3985, 2188, 706, 77, 91, 5795, 998, 7698, 284, 2940, 25085, 44, 291, 3097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 0, 1, 1, 6, 9, 8, 9, 7, 8, 7, 6, 8, 8, 4, 4, 1, 1, 1, 4, 4, 5, 5, 6, 2, 2, 3, 3, 3, 3, 3, 3, 5, 7, 8, 7, 6, 6, 8, 5, 5, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 7, 8, 7, 6, 6, 8, 8, 8, 5, 5, 8, 8, 10, 11, 10, 14, 13, 12, 14, 13, 15, 14, 16, 13, 6, 6, 9, 11, 11, 8, 8, 6, 6, 9, 11, 11, 8, 8, 5, 5, 6, 8, 9, 8, 7, 7, 9, 9, 9, 6, 6, 9, 9, 11, 12, 11, 15, 14, 13, 15, 14, 16, 15, 17, 14, 7, 7, 9, 9, 10, 7, 7, 9, 9, 11, 13, 12, 14, 14, 14, 14, 7, 7, 8, 8, 8, 10, 11, 10, 10, 10, 8, 8, 10, 13, 15, 15, 15, 15, 13, 12, 13, 13, 10, 10, 13, 13, 14, 7, 7, 5, 5, 6, 6, 6, 4, 4, 5, 8, 8, 9, 9, 7, 7, 10, 10, 8, 8, 6, 6, 9, 9, 7, 7, 5, 5, 5, 9, 10, 9, 10, 9, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 1, 1, 3, 4, 3, 3, 5, 6, 5, 1, 1, 4, 4, 6, 13, 12, 13, 12, 13, 13, 10, 10, 12, 14, 13, 14, 12, 13, 13, 8, 8, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 12, 11, 12, 11, 14, 13, 14, 13, 14, 14, 11, 2, 2, 4, 4, 6, 12, 11, 12, 11, 12, 12, 9, 9, 11, 13, 12, 13, 11, 12, 12, 7, 7, 8, 8, 8, 8, 8, 8, 6, 2, 2, 3, 3, 3, 5, 7, 7, 9, 8, 11, 10, 11, 10, 11, 11, 11, 6, 6, 7, 7, 9, 8, 11, 10, 11, 10, 11, 11, 11, 5, 5, 4, 4, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 12, 11, 12, 11, 12, 12, 9, 11, 12, 11, 12, 12, 9, 9, 9, 11, 12, 11, 12, 12, 12, 9, 9, 9, 11, 12, 11, 12, 12, 12, 9, 11, 12, 11, 12, 12, 9, 11, 12, 11, 12, 12, 3, 3, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 5, 5, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 5, 5, 5, 0, 0, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 5, 5, 0, 0, 0, 2, 1, 5, 5, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 3, 3, 0, 1, 2, 0, 0, 3, 3, 0, 1, 2, 0, 0, 2, 2, 4, 0, 2, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 3, 3, 0, 0, 2, 3, 3, 0, 0, 1, 0, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 3, 3, 2, 2, 5, 5, 5, 5, 5, 3, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 3, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 7, 7, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 5, 5, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 5, 5, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 3, 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 ]

[ 1070, 20717, 1188, 20642, 3103, 2281, 30, 5547, 1959, 203, 1070, 638, 9777, 1188, 10864, 46302, 81, 21448, 203, 1070, 638, 2304, 1188, 4705, 81, 42515, 30, 2350, 265, 30, 21096, 81, 668, 203, 465, 5741, 203, 465, 43008, 203, 465, 5237, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 505, 2116, 505, 280, 330, 93, 3394, 91, 25, 203, 465, 19493, 203, 589, 11322, 81, 267, 81, 87, 13202, 26, 1126, 30, 319, 1132, 30, 1115, 4124, 711, 284, 2218, 2933, 44, 291, 1596, 44, 324, 442, 667, 2740, 1132, 30, 1115, 4124, 27, 291, 2940, 45338, 619, 484, 44, 324, 415, 484, 32, 12864, 610, 19493, 32, 55, 21737, 44, 400, 4036, 324, 813, 44, 400, 3636, 203, 589, 622, 81, 1070, 81, 3926, 26, 3926, 30, 2163, 47, 1815, 30, 5868, 47, 2521, 711, 284, 442, 11322, 81, 267, 81, 87, 13202, 26, 3926, 32, 371, 30, 2163, 30, 5868, 27, 203, 589, 3333, 26, 88, 30, 2678, 81, 266, 30, 2678, 81, 541, 711, 284, 2218, 2933, 44, 291, 308, 91, 30, 816, 27, 280, 622, 81, 1070, 81, 3926, 26, 99, 81, 266, 27, 291, 415, 595, 438, 1665, 44, 324, 1626, 291, 2678, 81, 541, 32, 524, 1162, 91, 30, 296, 2740, 106, 2610, 203, 589, 2498, 81, 20907, 2262, 284, 645, 42408, 1188, 11935, 284, 1596, 44, 291, 2043, 280, 11935, 32, 1486, 26, 4186, 46302, 81, 21448, 27, 291, 442, 2069, 26, 1580, 27, 848, 225, 34, 284, 2940, 45338, 44, 291, 442, 3177, 284, 2940, 3268, 44, 291, 442, 3177, 203, 589, 622, 81, 1580, 2262, 284, 645, 42408, 1188, 11935, 284, 1596, 44, 291, 2043, 280, 11935, 32, 1486, 26, 3959, 47, 4186, 46302, 81, 21448, 27, 291, 442, 2043, 415, 2069, 26, 1580, 27, 848, 225, 34, 813, 1665, 284, 2940, 45338, 44, 291, 442, 1665, 284, 2940, 3268, 44, 291, 442, 1665, 203, 589, 8825, 1125, 26, 1132, 711, 284, 436, 312, 328, 2181, 44, 291, 415, 6937, 26, 83, 30, 308, 7288, 30, 1149, 8531, 324, 6761, 312, 291, 813, 44, 324, 6761, 308, 83, 21713, 203, 589, 622, 81, 96, 10331, 26, 96, 1132, 30, 2181, 711, 284, 415, 34292, 438, 646, 1665, 44, 291, 310, 10331, 280, 34292, 284, 4348, 6937, 26, 1132, 30, 308, 7288, 30, 1149, 8531, 291, 310, 10331, 280, 2069, 26, 1132, 27, 284, 813, 44, 291, 310, 10331, 280, 629, 26, 3731, 32, 1449, 891, 517, 225, 35, 34, 34, 34, 34, 34, 34, 27, 10065, 442, 310, 10331, 203, 589, 11935, 81, 1110, 26, 1580, 30, 2899, 30, 2181, 30, 1474, 30, 5254, 891, 47, 35, 30, 3208, 47, 2700, 30, 34292, 47, 2521, 711, 284, 2519, 81, 6654, 280, 1560, 26, 1436, 27, 284, 310, 10331, 280, 622, 81, 96, 10331, 26, 96, 1132, 30, 2181, 27, 284, 310, 6789, 280, 2069, 26, 1580, 27, 284, 4082, 32, 2811, 463, 13449, 81, 1110, 44, 2069, 26, 1580, 27, 280, 19553, 1643, 26, 1657, 26, 1580, 2610, 284, 2202, 280, 2043, 32, 944, 81, 41058, 81, 1071, 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, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 3, 3, 3, 5, 5, 5, 7, 9, 11, 9, 9, 11, 9, 5, 5, 6, 7, 7, 6, 6, 6, 8, 10, 11, 9, 9, 10, 11, 11, 8, 8, 8, 8, 8, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 7, 6, 7, 5, 5, 5, 5, 5, 0, 1, 1, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 3, 8, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 8, 8, 7, 8, 7, 9, 8, 8, 10, 12, 10, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 3, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 9, 9, 9, 9, 8, 4, 4, 5, 8, 9, 8, 6, 6, 7, 3, 3, 4, 4, 4, 4, 6, 3, 3, 4, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 3, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 8, 4, 4, 5, 6, 6, 9, 10, 9, 7, 7, 8, 6, 6, 3, 3, 4, 4, 4, 4, 6, 3, 3, 4, 4, 4, 4, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 3, 3, 3, 3, 5, 7, 8, 7, 7, 9, 8, 8, 8, 5, 5, 8, 5, 5, 6, 6, 6, 9, 11, 10, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 7, 6, 6, 3, 3, 4, 6, 7, 6, 6, 8, 7, 7, 7, 4, 4, 8, 7, 7, 9, 10, 9, 3, 3, 4, 4, 4, 8, 7, 7, 9, 12, 11, 12, 12, 10, 10, 11, 11, 11, 11, 11, 11, 11, 9, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 7, 7, 6, 6, 6, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 9, 9, 10, 9, 2, 2, 4, 4, 6, 7, 7, 7, 7, 7, 6, 2 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 8, 8, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 4, 4, 4, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 10, 10, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 11, 11, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 11, 11, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 12, 12, 1, 1, 2, 12, 12, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 0, 0, 13, 13, 1, 1, 2, 13, 13, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 0, 0, 14, 14, 1, 2, 1, 2, 14, 14, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 4, 0, 1, 1, 0, 15, 15, 1, 1, 1, 2, 1, 1, 2, 2, 2, 15, 15, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 3, 3, 3, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 5, 5, 5, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 0, 16, 16, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 9, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 16, 16, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4 ]

[ 1070, 35094, 1188, 7360, 203, 465, 2322, 203, 465, 22977, 203, 1070, 8206, 13835, 32, 28783, 32, 7353, 1188, 4447, 17760, 30, 34228, 30, 24490, 30, 3547, 203, 1070, 8206, 13835, 32, 1840, 32, 731, 1188, 3081, 203, 1070, 8206, 13835, 32, 1840, 32, 1580, 1188, 5822, 1969, 203, 1070, 594, 9635, 103, 32, 37551, 1188, 622, 81, 37551, 81, 1070, 81, 983, 203, 1070, 594, 9635, 103, 32, 37551, 32, 8366, 1188, 1884, 3902, 4767, 203, 1070, 594, 9635, 103, 32, 37551, 32, 15074, 1188, 1884, 3902, 16318, 203, 1070, 594, 9635, 103, 32, 37551, 32, 4882, 1188, 2196, 81, 37551, 81, 314, 203, 1070, 594, 9635, 103, 32, 37551, 32, 4882, 32, 858, 81, 5660, 1188, 3964, 81, 5660, 203, 1070, 594, 9635, 103, 32, 4275, 1188, 2032, 5965, 203, 1070, 594, 9635, 103, 32, 1356, 1188, 1531, 203, 1070, 594, 9635, 103, 32, 1293, 32, 4275, 1188, 1884, 3902, 1078, 5965, 203, 1070, 594, 9635, 103, 32, 1293, 32, 4882, 32, 2282, 1188, 5025, 35506, 203, 1070, 594, 9635, 103, 32, 2243, 32, 37551, 1188, 5822, 81, 37551, 203, 1070, 594, 9635, 103, 32, 1356, 32, 3613, 265, 1188, 31054, 203, 823, 1884, 3902, 16318, 35506, 26, 1078, 35506, 711, 284, 477, 3221, 17760, 284, 665, 14553, 26, 784, 711, 291, 6761, 2599, 26, 2659, 95, 16318, 35506, 30, 630, 547, 23741, 346, 291, 6761, 630, 32, 2018, 81, 1536, 81, 1163, 346, 291, 630, 32, 6385, 280, 630, 32, 1163, 32, 371, 81, 1536, 922, 371, 81, 8676, 81, 6385, 346, 291, 630, 32, 4219, 280, 630, 32, 6385, 32, 371, 81, 761, 81, 4219, 346, 284, 477, 3221, 17760, 284, 665, 6672, 81, 37551, 26, 784, 30, 1351, 95, 81, 983, 47, 3287, 81, 5660, 711, 291, 1351, 95, 280, 622, 81, 37551, 81, 1070, 81, 983, 26, 37551, 81, 983, 27, 291, 20613, 280, 1884, 3902, 16318, 26, 784, 32, 1580, 30, 630, 32, 4219, 27, 291, 6761, 20613, 32, 669, 81, 37551, 26, 1696, 81, 37551, 81, 314, 26, 37551, 471, 1351, 95, 27, 291, 1351, 95, 81, 10615, 280, 6761, 20613, 32, 7211, 346, 291, 34228, 1162, 37551, 30, 1351, 95, 81, 10615, 77, 34, 5259, 203, 823, 13290, 7233, 26, 2659, 95, 16318, 35506, 711, 284, 477, 3221, 17760, 284, 665, 894, 81, 37551, 81, 4984, 81, 761, 26, 784, 711, 291, 1351, 95, 30, 1351, 95, 81, 1293, 280, 6761, 630, 32, 7211, 81, 37551, 346, 291, 1351, 95, 81, 5660, 280, 630, 32, 2682, 2976, 346, 291, 6761, 5822, 81, 37551, 26, 324, 630, 32, 1580, 30, 1351, 95, 81, 1293, 32, 314, 30, 1351, 95, 81, 5660, 27, 291, 19358, 280, 1351, 95, 32, 371, 81, 5567, 36, 39, 40, 346, 291, 1351, 95, 81, 314, 280, 2196, 81, 37551, 81, 314, 26, 37551, 27, 291, 1351, 95, 81, 678, 280, 1531, 32, 7345, 4912, 101, 6069, 101, 20, 904, 308, 37551, 81, 314, 30, 19358, 490, 291, 1351, 95, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 37551, 81, 5660, 30, 1351, 95, 81, 678, 27, 291, 630 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 7, 11, 12, 12, 12, 12, 11, 11, 11, 10, 9, 5, 5, 7, 9, 10, 10, 10, 10, 10, 9, 5, 5, 8, 9, 7, 7, 12, 13, 11, 12, 12, 12, 11, 10, 10, 10, 10, 10, 9, 5, 5, 8, 9, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 2, 2, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 7, 7, 7, 6, 7, 7, 7, 5, 4, 4, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 9, 5, 5, 7, 7, 9, 9, 9, 11, 10, 11, 9, 9, 10, 11, 9, 5, 5, 7, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 12, 11, 9, 10, 9, 5, 5, 8, 8, 8, 7, 7, 8, 10, 11, 10, 5, 5, 8, 10, 9, 9, 11, 11, 11, 10, 11, 10, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 9, 8, 8, 9, 9, 9, 7, 7, 8, 10, 11, 11, 11, 10, 5, 5, 8, 8, 8, 7, 7, 9, 10, 10, 9, 5, 5, 7, 9, 9, 9, 9, 9, 10, 11, 9, 9, 11, 11, 11, 10, 11, 9, 9, 10, 10, 10, 9, 5, 5, 7, 7, 10, 9, 10, 10, 10, 10, 10, 10, 9, 5, 5, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 10, 9, 5, 5, 8, 8, 8, 7, 7, 9, 10, 9, 12, 12, 12, 12, 10, 10, 12, 12, 12, 11, 11, 11, 5, 5, 8, 8, 8, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 5, 5 ]

[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 0, 0, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 10, 10, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 10, 10, 0, 0, 0, 11, 11, 0, 0, 1, 2, 11, 11, 0, 0, 12, 12, 0, 0, 1, 2, 12, 12, 0, 13, 13, 0, 0, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 14, 14, 0, 0, 1, 2, 1, 4, 1, 6, 14, 14, 0, 0, 15, 15, 0, 0, 1, 2, 1, 4, 15, 15, 0, 0, 0, 16, 16, 0, 0, 1, 2, 1, 4, 4, 16, 16, 0, 17, 17, 1, 1, 1, 2, 1, 1, 2, 17, 17, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 3, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 3, 2, 3, 0, 18, 18, 1, 2, 1, 1, 1, 1, 2, 18, 18, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 1, 5, 5, 5, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 623, 81, 9849, 203, 465, 2322, 203, 465, 316, 203, 465, 22977, 203, 465, 7060, 203, 465, 6314, 203, 465, 16539, 203, 465, 1133, 203, 465, 14465, 203, 1070, 18792, 1188, 3850, 3028, 30, 1459, 81, 203, 1070, 281, 4072, 1356, 1188, 4942, 30, 5016, 30, 5338, 203, 1070, 281, 4072, 1356, 32, 1251, 1188, 308, 1212, 30, 4004, 924, 30, 10018, 924, 30, 656, 2887, 81, 6173, 81, 3732, 81, 2416, 27, 203, 823, 475, 277, 1212, 26, 1212, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 4904, 30, 2267, 81, 5172, 30, 23729, 81, 3337, 30, 4759, 81, 3337, 30, 594, 7773, 81, 625, 30, 6562, 81, 2811, 81, 625, 30, 2815, 81, 1956, 30, 4131, 47, 1815, 30, 5298, 81, 3337, 47, 2521, 30, 810, 33619, 278, 81, 625, 1057, 34, 370, 4706, 81, 9578, 47, 2521, 711, 291, 2599, 26, 54, 277, 1212, 30, 630, 14585, 1664, 3207, 426, 30, 4904, 30, 2267, 81, 5172, 30, 23729, 81, 3337, 30, 4759, 81, 3337, 30, 594, 7773, 81, 625, 30, 6562, 81, 2811, 81, 625, 30, 2815, 81, 1956, 30, 4131, 30, 5298, 81, 3337, 30, 810, 33619, 278, 81, 625, 30, 4706, 81, 9578, 47, 9236, 81, 9578, 27, 291, 630, 32, 371, 81, 35329, 81, 1648, 346, 291, 630, 1114, 86, 277, 81, 1163, 81, 2184, 280, 2149, 291, 415, 630, 32, 5176, 32, 2040, 3397, 545, 1403, 2262, 324, 630, 1114, 2991, 81, 4867, 346, 284, 665, 622, 81, 3789, 81, 35329, 81, 2388, 26, 784, 711, 291, 442, 2322, 32, 983, 32, 2524, 26, 784, 32, 371, 81, 3789, 81, 1515, 1026, 330, 5379, 370, 330, 35329, 683, 284, 665, 622, 81, 1251, 81, 35329, 81, 2388, 26, 784, 711, 291, 442, 2322, 32, 983, 32, 2524, 26, 784, 32, 371, 81, 983, 1026, 330, 5379, 370, 330, 35329, 683, 284, 665, 622, 81, 2957, 81, 1515, 26, 784, 711, 291, 442, 2322, 32, 983, 32, 2524, 26, 784, 32, 371, 81, 983, 1026, 330, 5379, 370, 330, 35329, 370, 330, 2957, 683, 284, 665, 622, 81, 3732, 26, 784, 30, 4559, 426, 711, 291, 442, 4942, 32, 2524, 81, 1771, 26, 500, 32, 983, 32, 2524, 26, 784, 32, 371, 81, 3789, 81, 1515, 1026, 330, 5379, 370, 330, 35329, 1425, 330, 1771, 370, 4559, 426, 27, 284, 665, 622, 81, 3732, 81, 1132, 26, 784, 30, 4559, 426, 711, 291, 442, 428, 2282, 32, 2524, 81, 1771, 26, 500, 32, 983, 32, 2524, 26, 784, 32, 371, 81, 3789, 81, 1515, 1026, 330, 5379, 370, 330, 35329, 1425, 330, 1771, 370, 330, 86, 277, 1425, 4559, 426, 79, 284, 665, 622, 81, 2121, 26, 784, 711, 291, 308, 1251, 81, 639, 30, 15084, 280, 630, 32, 4573, 81, 11201, 710, 7003, 785, 291, 442, 4942, 32, 2682, 81, 86, 277, 81, 2121, 26, 784, 32, 371, 81, 3789, 81, 1515, 1026, 630, 32, 371, 81, 983, 1026, 1541, 81, 639, 27, 284, 665, 622, 81, 35329, 81, 1648, 26, 784, 711, 291 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 6, 5, 7, 7, 4, 6, 6, 5, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 9, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 5, 8, 9, 7, 8, 8, 8, 8, 7, 5, 5, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 7, 9, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 9, 10, 10, 10, 9, 7, 9, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 9, 10, 10, 10, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 11, 10, 11, 9, 10, 9, 12, 11, 12, 12, 12, 12, 12, 11, 9, 11, 11, 9, 11, 11, 7, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 9, 8, 9, 9, 9, 8, 12, 11, 12, 10, 11, 10, 13, 12, 13, 13, 13, 13, 13, 12, 10, 12, 12, 10, 12, 12, 8, 10, 10, 8, 10, 10, 10, 6, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 8, 8, 7, 7, 6, 6, 8, 9, 9, 9, 7, 9, 9, 4, 4, 5, 7, 8, 8, 8, 8, 8, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 7, 9, 10, 10, 10, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 9, 9, 0, 9, 9, 0, 0, 10, 10, 0, 0, 10, 10, 10, 10, 10, 10, 0, 11, 11, 0, 0, 1, 2, 11, 11, 0, 11, 11, 0, 11, 11, 0, 11, 11, 11, 0, 0, 0, 0, 0, 0, 11, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 11, 11, 2, 2, 13, 13, 13, 2, 2, 15, 15, 15, 15, 2, 2, 17, 17, 2, 2, 19, 2, 2, 2, 0, 0, 21, 2, 2, 2, 0, 0, 0, 0, 23, 1, 2, 2, 0, 0, 25, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 11, 11, 11, 1, 1, 13, 13, 13, 13, 1, 1, 15, 15, 1, 1, 1, 1, 19, 19, 1, 1, 21, 21, 21, 21, 1, 1, 0, 0, 23, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 3, 0, 2, 0, 2, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 5, 5, 1, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 7 ]

[ 1551, 81, 1338, 280, 301, 284, 313, 426, 563, 313, 8882, 21224, 24060, 392, 284, 313, 2116, 563, 313, 18102, 21224, 3003, 284, 313, 1648, 563, 308, 34, 30, 225, 34, 30, 225, 39, 471, 284, 313, 1551, 1610, 563, 308, 36, 30, 225, 41, 30, 225, 35, 471, 284, 313, 2645, 563, 313, 1074, 37, 54, 848, 15635, 848, 18102, 21224, 308, 3007, 5715, 284, 313, 2310, 563, 313, 27210, 4324, 1098, 9555, 3640, 24060, 432, 3449, 1418, 392, 284, 313, 5691, 563, 313, 1206, 6305, 11281, 392, 284, 313, 6419, 81, 965, 563, 4320, 284, 313, 3153, 563, 313, 6938, 392, 203, 111, 203, 465, 323, 978, 203, 465, 323, 7174, 203, 1070, 7744, 2304, 1188, 4107, 30, 9320, 203, 1070, 323, 978, 32, 2962, 1188, 14975, 1653, 30, 892, 1653, 30, 2854, 1653, 30, 8174, 1653, 30, 7819, 1653, 203, 823, 2222, 27210, 26, 84, 978, 32, 2516, 32, 7145, 711, 284, 3145, 81, 314, 426, 280, 313, 7174, 32, 669, 81, 4917, 81, 452, 81, 1473, 20, 284, 3145, 81, 1172, 280, 313, 890, 506, 45913, 44, 1015, 20, 284, 3145, 81, 2184, 280, 5053, 18250, 370, 330, 1413, 1680, 370, 330, 2883, 2695, 6040, 284, 10156, 81, 4917, 280, 14975, 1653, 26, 426, 347, 9833, 81, 4917, 392, 1244, 47, 2700, 30, 768, 3048, 347, 43346, 322, 4302, 432, 4324, 24060, 657, 284, 636, 81, 1855, 81, 1473, 280, 892, 1653, 26, 291, 636, 347, 7900, 488, 31304, 392, 291, 3048, 347, 14762, 844, 34456, 312, 9526, 392, 291, 1244, 347, 17438, 657, 284, 3345, 81, 1366, 81, 4917, 280, 14975, 1653, 26, 426, 347, 2546, 81, 1366, 81, 4917, 392, 1244, 47, 1815, 30, 8479, 3048, 347, 2682, 312, 11655, 30, 3345, 556, 646, 657, 284, 1695, 81, 2273, 280, 8174, 1653, 26, 426, 347, 1439, 81, 2273, 24060, 392, 1847, 6593, 36, 34, 30, 1378, 16783, 81, 1449, 47, 35, 34, 30, 1769, 47, 36, 34, 30, 1244, 47, 34, 32, 36, 30, 1378, 3048, 347, 2021, 8074, 1695, 81, 2273, 657, 284, 793, 81, 9535, 81, 1439, 81, 2273, 280, 14975, 1653, 26, 426, 347, 2808, 32, 1439, 81, 2273, 392, 1244, 47, 2700, 30, 3391, 3048, 347, 316, 730, 661, 556, 7976, 1695, 81, 2273, 657, 284, 6491, 81, 1439, 81, 2273, 280, 8174, 1653, 26, 426, 347, 9535, 81, 2273, 392, 1847, 6593, 39, 30, 11244, 16783, 81, 1449, 47, 39, 30, 1769, 47, 36, 34, 30, 1244, 47, 34, 32, 36, 30, 11244, 3048, 347, 8882, 21224, 48, 10766, 657, 284, 6491, 81, 1644, 280, 8174, 1653, 26, 426, 347, 9535, 81, 1644, 392, 1847, 6593, 39, 30, 9111, 16783, 81, 1449, 47, 39, 30, 1769, 47, 36, 34, 30, 1244, 47, 34, 32, 36, 30, 9111, 3048, 347, 8882, 21224, 48, 10766, 657, 284, 3100, 81, 2273, 280, 8174, 1653, 26, 426, 347, 36, 32, 2384, 392, 1847, 6593, 39, 30, 6619, 16783, 81, 1449, 47, 39, 30, 1769, 47, 36, 34, 30, 1244, 47, 34, 32, 36, 30, 6619, 3048, 347, 36, 32, 2384, 436, 458, 461, 688, 657 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 5, 5, 6, 5, 5, 6, 5, 3, 3, 6, 6, 6, 4, 6, 5, 5, 6, 5, 5, 6, 5, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 3, 3, 6, 6, 4, 6, 6, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 6, 7, 8, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 7, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 6, 7, 8, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 6, 7, 9, 9, 6, 6, 6, 8, 8, 7, 8, 8, 6, 6, 7, 8, 8, 6, 6, 7, 8, 8, 8, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 6, 7, 8, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 6, 7, 9, 6, 6, 6, 8, 8, 7, 8, 6, 6, 7, 8, 8, 6, 6, 7, 8, 8, 8, 6, 6, 6, 7, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 6, 7, 9, 6, 6, 6, 8, 8, 7, 8, 6, 6, 7, 8, 8, 6, 6, 7, 8, 8, 8, 6, 6, 6, 7, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 6, 7, 9, 6, 6, 6, 8, 8, 7, 8, 6, 6, 7, 8, 8, 6, 6, 7, 8, 8, 8, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9 ]

[ 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 2, 1, 2, 5, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 1, 1, 2, 7, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 13, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 15, 2, 2, 1, 2, 17, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 1, 2, 0, 0, 0, 2, 1, 2, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 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, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 0, 0, 5, 2, 2, 1, 1, 7, 2, 2, 1, 1, 9, 2, 2, 2, 1, 1, 1, 11, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 0, 0, 5, 2, 1, 1, 7, 2, 2, 1, 1, 9, 2, 2, 2, 1, 1, 1, 11, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 0, 0, 5, 2, 1, 1, 7, 2, 2, 1, 1, 9, 2, 2, 2, 1, 1, 1, 11, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 0, 0, 5, 2, 1, 1, 7, 2, 2, 1, 1, 9, 2, 2, 2, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 2 ]

[ 12960, 47333, 24234, 203, 12960, 47333, 24234, 203, 465, 15798, 203, 1070, 894, 1188, 2193, 203, 465, 19493, 203, 465, 3363, 203, 465, 31074, 203, 465, 6234, 203, 465, 2192, 203, 465, 29590, 203, 465, 1133, 203, 465, 27374, 203, 465, 5523, 203, 465, 5237, 203, 465, 2322, 203, 465, 1417, 203, 465, 5624, 203, 465, 1619, 1356, 203, 1070, 18105, 612, 1188, 7664, 203, 465, 7060, 203, 465, 7744, 203, 465, 19571, 203, 465, 1671, 203, 1270, 44, 284, 1188, 43008, 203, 7343, 29986, 44, 284, 43008, 280, 3177, 203, 1270, 44, 284, 1188, 296, 7858, 94, 203, 7343, 29986, 44, 284, 296, 7858, 94, 280, 1665, 203, 8472, 280, 2193, 32, 8472, 203, 8037, 280, 330, 47204, 570, 335, 3299, 1597, 2442, 78, 103, 35, 36, 37, 38, 78, 100, 78, 96, 2473, 4434, 463, 3310, 31, 42, 683, 225, 203, 1270, 44, 284, 1188, 617, 3426, 619, 3664, 284, 1188, 26313, 203, 7343, 29986, 44, 284, 3664, 280, 1665, 284, 26313, 280, 1665, 203, 1270, 44, 284, 1188, 617, 4817, 203, 7343, 29986, 44, 284, 617, 4817, 280, 1665, 203, 589, 617, 8791, 81, 4817, 81, 3374, 2262, 284, 1596, 44, 291, 309, 280, 6234, 32, 4817, 26, 4817, 32, 12249, 81, 16819, 30, 6234, 32, 30492, 81, 20369, 30, 6234, 32, 16819, 81, 20369, 27, 284, 2940, 308, 2212, 924, 30, 546, 21887, 711, 291, 442, 3177, 284, 813, 44, 291, 309, 32, 2679, 346, 284, 442, 2933, 203, 589, 617, 8791, 81, 4817, 81, 39879, 2262, 284, 1596, 44, 291, 309, 280, 6234, 32, 4817, 26, 4817, 32, 12249, 81, 68, 4135, 30, 6234, 32, 30492, 81, 20285, 25742, 30, 225, 34, 27, 284, 2940, 308, 2212, 924, 30, 546, 21887, 711, 291, 442, 3177, 284, 813, 44, 291, 309, 32, 2679, 346, 284, 442, 2933, 203, 19805, 81, 22251, 81, 16819, 280, 617, 8791, 81, 4817, 81, 3374, 346, 203, 19805, 81, 22251, 81, 68, 4135, 280, 617, 8791, 81, 4817, 81, 39879, 346, 203, 3364, 2109, 81, 1844, 280, 1417, 32, 955, 440, 91, 1895, 1094, 891, 203, 823, 14835, 12364, 1006, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 1666, 280, 6234, 32, 4817, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 13169, 27, 291, 630, 32, 625, 280, 2193, 32, 2539, 81, 625, 26, 784, 32, 1666, 27, 291, 630, 32, 1666, 32, 12220, 26, 35, 27, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 1666, 32, 2679, 346, 291, 630, 32, 1666, 280, 1665, 203, 823, 14835, 20971, 1006, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 1666, 280, 6234, 32, 4817, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 54, 15693, 27, 291, 630, 32, 625, 280, 2193, 32, 2539, 81, 625, 26, 784, 32, 1666, 27, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 1666, 32, 2679, 346, 291, 630, 32, 1666, 280, 1665, 203, 823, 7800, 11691, 20253, 7233, 26, 18986, 32, 7233, 711, 284, 415, 26313, 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, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 3, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 5, 5, 0, 3, 2, 2, 3, 4, 0, 3, 2, 2, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 6, 6, 6, 6, 0, 0, 1, 1, 1, 1, 3, 6, 4, 4, 2, 2, 3, 1, 2, 2, 2, 2, 2, 5, 5, 3, 3, 5, 5, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 3, 3, 4, 6, 6, 5, 5, 6, 5, 4, 4, 6, 3, 3, 4, 4, 4, 8, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 8, 8, 9, 8, 3, 3, 4, 6, 6, 5, 5, 6, 5, 4, 4, 6, 3, 3, 4, 4, 4, 8, 9, 8, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 5, 6, 5, 7, 7, 4, 4, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 3, 3 ]

[ 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 5, 5, 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, 0, 14, 14, 0, 15, 15, 0, 16, 16, 0, 17, 17, 0, 18, 18, 0, 19, 19, 0, 0, 20, 20, 0, 20, 20, 0, 21, 21, 0, 22, 22, 0, 23, 23, 0, 24, 24, 0, 25, 25, 25, 25, 0, 25, 3, 3, 3, 3, 3, 0, 0, 0, 26, 26, 26, 26, 0, 0, 0, 26, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 29, 29, 29, 29, 0, 0, 1, 1, 2, 2, 1, 29, 3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 30, 30, 30, 30, 0, 0, 30, 3, 3, 3, 3, 3, 0, 0, 0, 0, 31, 31, 1, 1, 1, 1, 1, 2, 31, 31, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 0, 0, 3, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 4, 4, 4, 0, 2, 1, 4, 4, 1, 0, 32, 32, 1, 1, 1, 1, 1, 2, 32, 32, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 1, 5, 1, 0, 0, 3, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 4, 4, 4, 0, 2, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 36, 36, 1, 1, 2, 0, 1, 2, 2, 36, 36, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 37, 37, 1, 1, 2, 0, 1, 2, 2, 37, 37, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 38, 38, 1, 1, 1, 2, 0, 1, 2, 2, 38, 38, 0, 0, 0 ]

[ 465, 16672, 30, 11412, 30, 7138, 203, 1070, 29969, 1188, 5380, 30, 31168, 1215, 203, 1070, 7138, 1188, 7138, 203, 589, 13503, 1215, 2262, 284, 8049, 1215, 280, 5380, 26, 1131, 2976, 27, 3701, 1869, 2931, 280, 428, 106, 436, 816, 328, 8049, 1215, 32, 1731, 1515, 346, 415, 816, 32, 297, 81, 1515, 7662, 3701, 623, 2156, 308, 4700, 1512, 30, 330, 105, 683, 619, 345, 44, 291, 7272, 280, 11412, 32, 7572, 26, 95, 27, 291, 7272, 32, 7572, 441, 4901, 983, 1195, 20415, 518, 10699, 2266, 13120, 1947, 55, 282, 27186, 18378, 1195, 14792, 18378, 3490, 291, 436, 595, 328, 1869, 2931, 44, 324, 16829, 4542, 280, 5380, 26, 91, 27, 324, 1459, 440, 1382, 2354, 3362, 372, 2164, 438, 3003, 41627, 4542, 27, 324, 803, 720, 280, 1149, 26, 41627, 4542, 32, 13285, 463, 326, 1109, 2847, 324, 4844, 1250, 280, 225, 34, 324, 296, 2573, 1043, 280, 7138, 32, 2174, 346, 324, 45727, 1043, 280, 296, 2573, 1043, 324, 37270, 1043, 280, 7138, 32, 44832, 440, 19264, 225, 34, 35, 225, 35, 43, 39, 34, 392, 5461, 84, 904, 86, 904, 75, 657, 324, 436, 296, 328, 803, 720, 44, 400, 296, 1250, 3644, 280, 308, 1215, 32, 4597, 26, 88, 547, 270, 81, 891, 517, 7081, 13120, 27, 400, 4844, 1250, 280, 4844, 1250, 474, 296, 1250, 3644, 400, 296, 2573, 1043, 280, 7138, 32, 1070, 5561, 26, 1215, 32, 4597, 26, 88, 547, 270, 81, 29290, 27, 400, 415, 296, 2573, 1043, 2377, 45727, 1043, 44, 528, 3097, 400, 813, 44, 528, 45727, 1043, 280, 296, 2573, 1043, 528, 415, 296, 2573, 1043, 2511, 37270, 1043, 44, 715, 3097, 528, 813, 44, 715, 37270, 1043, 280, 296, 2573, 1043, 324, 7272, 32, 7572, 441, 2009, 91, 30, 6175, 1250, 30, 362, 3316, 1043, 30, 890, 445, 1043, 1130, 203, 3922, 280, 16672, 32, 26633, 346, 203, 3922, 32, 669, 81, 2669, 440, 2024, 392, 3049, 347, 1215, 372, 461, 4870, 436, 322, 15599, 372, 1487, 7144, 203, 3922, 32, 669, 81, 2669, 440, 1131, 392, 3049, 347, 1215, 372, 1509, 3362, 7144, 203, 3922, 32, 669, 81, 2669, 10359, 103, 392, 7915, 9660, 392, 827, 47, 466, 30, 16682, 18278, 84, 392, 313, 11256, 392, 313, 1232, 392, 313, 6193, 3439, 3049, 347, 3010, 432, 18583, 436, 15945, 19089, 1334, 657, 203, 1132, 280, 4118, 32, 2208, 81, 1132, 346, 203, 325, 2181, 32, 2024, 44, 284, 11412, 1512, 280, 2181, 32, 2024, 203, 325, 2181, 32, 1131, 44, 284, 1509, 2976, 280, 2181, 32, 1131, 203, 325, 2181, 32, 9660, 610, 313, 11256, 563, 284, 7081, 13120, 280, 225, 35, 34, 36, 38, 284, 2266, 13120, 280, 11608, 7319, 1145, 107, 1592, 4731, 284, 1459, 440, 28685, 12998, 328, 21184, 1145, 107, 1592, 657, 203, 12106, 2181, 32, 9660, 610, 313, 1232, 563, 284, 7081, 13120, 280, 225, 35, 34, 36, 38, 28, 35, 34, 36, 38, 284, 2266, 13120, 280, 11608, 36938, 17156, 1592, 4731, 284, 1459, 440, 28685, 12998, 328, 20692, 17156, 1592, 657, 203, 12106, 2181, 32, 9660, 280, 347, 6193 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 4, 4, 6, 5, 6, 6, 6, 9, 8, 9, 9, 8, 5, 6, 8, 9, 9, 9, 8, 2, 2, 3, 7, 9, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 7, 10, 10, 11, 11, 11, 9, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 5, 6, 5, 5, 5, 9, 8, 8, 10, 11, 10, 6, 6, 9, 11, 11, 11, 11, 11, 11, 11, 10, 10, 9, 6, 6, 9, 8, 8, 10, 13, 13, 12, 13, 12, 14, 14, 14, 6, 6, 9, 8, 8, 9, 6, 6, 9, 9, 8, 8, 10, 11, 10, 6, 6, 9, 8, 8, 9, 9, 6, 6, 9, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 6, 6, 7, 7, 7, 8, 7, 7, 7, 11, 11, 10, 10, 16, 15, 16, 15, 16, 15, 14, 14, 14, 12, 12, 13, 11, 8, 8, 11, 10, 10, 12, 11, 11, 12, 12, 8, 8, 11, 11, 10, 10, 12, 13, 13, 12, 16, 15, 16, 15, 16, 15, 14, 14, 14, 12, 8, 8, 9, 11, 11, 10, 10, 11, 9, 9, 9, 9, 9, 10, 10, 10, 14, 13, 13, 14, 14, 11, 11, 12, 14, 14, 13, 13, 14, 12, 12, 12, 12, 12, 13, 13, 13, 17, 16, 16, 17, 17, 6, 6, 9, 10, 10, 9, 11, 10, 11, 11, 10, 11, 11, 11, 10, 11, 11, 11, 10, 0, 3, 2, 2, 4, 5, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 5, 5, 3, 4, 5, 3, 3, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 1, 1, 2, 3, 1, 1, 1, 5, 4, 4, 5, 6, 0, 1, 1, 2, 3, 1, 1, 1, 5, 4, 4, 5, 6, 0, 1, 1, 3, 4, 2, 2, 4, 4, 1, 1, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 1, 2, 2, 4, 5, 3, 3, 5, 5, 2, 2, 6, 5, 5, 7, 7, 7, 7, 6, 7, 7, 7, 7, 3, 3, 6, 5, 5, 7, 7, 7, 7, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 1, 2, 2, 4, 5, 3, 3, 5 ]

[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 3, 0, 2, 2, 2, 1, 4, 4, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 2, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 0, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 2, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 7, 7, 7, 3, 7, 7, 7, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 5, 5, 3, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 5, 5, 0, 2, 2, 1, 1, 1, 3, 3, 1, 5, 5, 5, 1, 7, 7, 7, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 2, 1, 1, 7, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 9, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 9, 9, 1, 2, 9, 9, 9, 0, 0, 0, 2, 2, 0, 10, 10, 1, 2, 10, 10, 10, 0, 0, 0, 2, 2, 0, 11, 11, 0, 2, 1, 1, 1, 2, 11, 11, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 11, 5, 5, 0, 2, 1, 1, 1 ]

[ 1070, 11993, 1188, 11406, 81, 6229, 1392, 203, 465, 11685, 203, 1070, 16560, 32, 1262, 32, 11452, 1188, 5675, 8161, 924, 30, 17874, 924, 30, 6287, 7530, 924, 30, 6287, 27981, 30, 1992, 81, 731, 203, 1070, 16560, 32, 1262, 32, 37966, 1188, 6324, 32734, 203, 1070, 16560, 32, 1262, 32, 9247, 1188, 18475, 1397, 203, 1070, 16560, 32, 1262, 32, 9247, 32, 9613, 1188, 26303, 30, 17874, 203, 1070, 16560, 32, 1262, 32, 41809, 1188, 498, 1013, 35363, 30, 3139, 38743, 30, 14346, 2920, 1868, 203, 1070, 16560, 32, 20898, 32, 1262, 32, 11452, 1188, 20913, 924, 2207, 203, 1070, 16560, 32, 20898, 32, 1262, 32, 41809, 32, 3902, 81, 41809, 1188, 5471, 1456, 362, 2920, 203, 1070, 4377, 1188, 4549, 619, 617, 3378, 203, 325, 11406, 81, 6229, 1392, 44, 284, 645, 11993, 1188, 6204, 30, 27087, 30, 14580, 30, 12671, 30, 19209, 30, 5648, 30, 2768, 1881, 30, 16545, 284, 394, 280, 2768, 1881, 463, 70, 683, 284, 390, 3246, 620, 280, 5648, 77, 14489, 9532, 8386, 1397, 77, 14293, 30, 17874, 614, 394, 30, 14580, 77, 466, 30, 6204, 6137, 6204, 3212, 203, 823, 3725, 38759, 11208, 26, 1473, 711, 284, 4549, 280, 617, 3378, 284, 665, 1156, 1664, 3207, 784, 30, 2043, 30, 1359, 30, 16614, 30, 409, 15248, 711, 291, 630, 1114, 1580, 280, 2043, 291, 630, 1114, 6282, 280, 16614, 291, 630, 1114, 17012, 280, 409, 15248, 291, 630, 1114, 1163, 280, 1359, 284, 665, 617, 2560, 81, 4332, 26, 291, 630, 30, 291, 2869, 81, 1363, 81, 426, 30, 16189, 3501, 81, 4573, 81, 426, 30, 16189, 20072, 81, 426, 30, 16189, 1115, 5321, 10065, 8063, 291, 9011, 280, 10306, 32, 3235, 463, 6933, 370, 1665, 27, 16189, 1048, 81, 1110, 280, 301, 1802, 38, 34, 35, 44, 5675, 8161, 924, 30, 225, 38, 34, 38, 44, 6287, 27981, 30, 225, 38, 34, 43, 44, 6287, 7530, 924, 291, 320, 291, 1048, 81, 1110, 32, 1877, 26, 5321, 32, 3235, 463, 731, 81, 1110, 370, 2149, 490, 291, 4125, 81, 1648, 280, 313, 36, 34, 35, 42, 31, 34, 35, 31, 34, 35, 20, 291, 1984, 280, 630, 1114, 2560, 81, 4332, 32, 4519, 710, 965, 785, 16189, 1519, 81, 1643, 81, 8299, 280, 301, 324, 330, 30015, 950, 630, 1114, 6282, 32, 965, 440, 3142, 81, 1363, 81, 426, 392, 2869, 81, 1363, 81, 426, 30, 330, 466, 1425, 324, 330, 5002, 4711, 558, 950, 630, 1114, 6282, 32, 965, 440, 5002, 81, 4573, 81, 426, 392, 3501, 81, 4573, 81, 426, 30, 330, 466, 1425, 324, 330, 19838, 558, 950, 630, 1114, 6282, 32, 965, 440, 19838, 81, 426, 392, 20072, 81, 426, 30, 330, 466, 1425, 324, 330, 40800, 950, 630, 1114, 6282, 32, 965, 440, 784, 1114, 1163, 32, 10736, 81, 314, 392, 630, 1114, 1163, 32, 10736, 81, 314, 30, 330, 466, 1425, 291, 320, 291, 1984, 280, 630, 1114, 1580, 32, 1643, 81, 965, 26, 965, 30, 1115, 983, 81, 1643, 81, 8299, 27, 291, 2467, 81, 5138, 280, 2149, 16189, 2467, 81, 5138, 710, 1237, 31, 1648 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 2, 2, 4, 4, 6, 6, 8, 8, 2, 2, 5, 5, 4, 4, 5, 7, 6, 9, 9, 8, 9, 8, 8, 8, 7, 7, 7, 8, 9, 8, 8, 8, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 6, 4, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 7, 6, 6, 7, 9, 9, 9, 8, 8, 9, 9, 7, 7, 9, 9, 9, 8, 8, 9, 7, 7, 9, 9, 9, 8, 8, 9, 9, 7, 7, 4, 4, 8, 8, 7, 8, 7, 10, 9, 10, 9, 11, 11, 11, 11, 9, 9, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 7, 9, 9, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 10, 10, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 10, 11, 11, 11, 11, 10, 10, 12, 12, 7, 7, 10, 10, 10, 10, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 10, 11, 11, 11, 11, 10, 10, 12, 12, 7, 7, 10, 10, 10, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 10, 11, 11, 10, 10, 12, 12, 7, 7, 10, 10, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 13, 11, 12, 12, 12, 10, 10, 12, 12, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 8, 4, 4, 7, 7, 6, 6, 4, 4, 8, 8, 7, 9, 9, 9 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 8, 8, 0, 0, 0, 0, 9, 9, 9, 9, 3, 3, 2, 0, 10, 10, 1, 1, 1, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 5, 2, 5, 5, 5, 2, 2, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 5, 5, 5, 5, 2, 2, 2, 7, 7, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 3, 3, 2, 2, 2, 0, 0, 0, 5, 5, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 1, 2, 2, 2, 1, 1, 2, 5, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 2, 2, 2, 1, 2, 7, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 3, 2, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 30, 15390, 81, 30839, 203, 1070, 1619, 1356, 1188, 13734, 203, 1070, 27374, 1188, 2179, 81, 14806, 203, 1070, 11171, 1188, 11171, 38, 203, 1070, 1288, 6591, 32, 2282, 1188, 5490, 53, 81, 4416, 81, 2319, 203, 1070, 1288, 6591, 32, 2282, 32, 17486, 81, 1436, 1188, 42938, 203, 1070, 1288, 6591, 32, 2282, 32, 9605, 32, 1160, 1188, 12122, 30, 3927, 3113, 5188, 203, 1070, 1288, 6591, 32, 2282, 32, 9605, 32, 1217, 1188, 2156, 3034, 81, 4373, 81, 668, 203, 1070, 1288, 6591, 32, 1786, 32, 2122, 32, 3259, 1188, 9128, 1183, 30, 9128, 2123, 65, 30, 5614, 4049, 1761, 30, 1390, 720, 4191, 2123, 65, 203, 823, 1390, 720, 26, 4191, 1183, 711, 284, 617, 2029, 81, 1170, 280, 3927, 3113, 5188, 32, 426, 30, 284, 443, 7155, 2338, 26, 936, 720, 4191, 2123, 65, 711, 291, 1326, 81, 7613, 280, 330, 108, 6591, 81, 4373, 81, 26878, 81, 371, 81, 668, 81, 1357, 25, 291, 1789, 81, 7613, 280, 330, 108, 6591, 81, 4373, 81, 26878, 81, 371, 81, 668, 81, 1986, 25, 291, 1509, 81, 3648, 280, 2726, 5176, 81, 314, 370, 27, 291, 1688, 81, 3648, 280, 2726, 314, 370, 330, 426, 370, 330, 297, 81, 2480, 370, 330, 699, 683, 284, 665, 622, 81, 605, 26, 784, 30, 3523, 711, 291, 442, 630, 1114, 1903, 26, 26878, 81, 4373, 81, 668, 30, 3523, 30, 630, 32, 1357, 32, 1131, 32, 5176, 81, 314, 30, 3177, 27, 284, 665, 2887, 26, 784, 711, 291, 623, 13734, 26, 784, 32, 9605, 32, 2848, 1157, 619, 3523, 44, 324, 630, 32, 1986, 32, 6263, 31445, 280, 630, 32, 371, 81, 605, 26, 2848, 27, 203, 823, 2648, 26, 4191, 1183, 711, 284, 443, 7155, 2338, 26, 4191, 2123, 65, 711, 291, 1326, 81, 7613, 280, 330, 108, 6591, 81, 4373, 81, 26878, 81, 1297, 81, 1357, 25, 291, 1789, 81, 7613, 280, 330, 108, 6591, 81, 4373, 81, 26878, 81, 1297, 81, 1986, 25, 291, 1509, 81, 3648, 280, 2726, 5176, 81, 314, 370, 330, 426, 370, 330, 297, 81, 2480, 370, 330, 699, 683, 291, 1688, 81, 3648, 280, 2726, 314, 370, 330, 426, 683, 284, 665, 2887, 26, 784, 711, 291, 1509, 280, 630, 32, 1357, 32, 1131, 291, 1509, 32, 2895, 280, 11171, 38, 922, 6949, 291, 623, 13734, 26, 784, 32, 9605, 32, 2848, 1157, 619, 3523, 44, 324, 1596, 44, 400, 4904, 280, 3523, 32, 1217, 26, 4607, 547, 2029, 81, 1170, 26, 314, 47, 1131, 32, 5176, 81, 314, 547, 2232, 346, 400, 4905, 81, 658, 280, 3523, 32, 1217, 26, 2961, 3113, 5188, 45940, 528, 2761, 26, 4607, 32, 314, 379, 1131, 32, 5176, 81, 314, 45940, 528, 2761, 26, 2961, 3113, 5188, 32, 426, 379, 1131, 32, 426, 547, 2232, 346, 400, 415, 4905, 81, 658, 44, 528, 3636, 3268, 463, 2961, 3113, 5644, 7316, 34, 10589, 3425, 5375, 544, 458, 4904, 2473, 1643, 26, 1131, 32, 426, 490, 400, 3796, 280, 3927, 3113, 5188, 26 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 7, 7, 6, 7, 5, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 7, 4, 4, 7, 7, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 8, 8, 8, 8, 8, 7, 7, 7, 7, 10, 11, 9, 10, 8, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 10, 14, 13, 14, 12, 13, 12, 8, 8, 5, 5, 5, 11, 12, 10, 11, 9, 8, 8, 10, 11, 11, 11, 10, 11, 10, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 7, 6, 6, 9, 9, 7, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 9, 9, 8, 4, 4, 5, 10, 14, 13, 14, 12, 13, 12, 8, 8, 5, 5, 5, 7, 7, 7, 10, 10, 16, 17, 16, 17, 16, 15, 15, 15, 14, 16, 15, 17, 16, 17, 17, 17, 14, 13, 12, 8, 8, 11, 11, 10, 10, 18, 19, 18, 19, 19, 19, 18, 17, 16, 16, 19, 18, 19, 17, 19, 18, 19, 19, 19, 16, 15, 14, 14, 17, 17, 17, 16, 17, 15, 17, 16, 17, 14, 13, 12, 8, 8, 9, 10, 10, 9, 9, 9, 11, 13, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 15, 17, 16, 17, 15, 8, 8, 10, 10, 12, 12, 12 ]

[ 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, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 0, 0, 0, 0, 8, 8, 0, 1, 2, 1, 4, 1, 6, 8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 2, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 5, 2, 2, 2, 1, 1, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 10, 10, 2, 1, 1, 2, 10, 10, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 1, 2, 4, 4, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1 ]

[ 465, 22045, 203, 465, 2361, 203, 465, 2322, 203, 465, 12388, 203, 465, 13077, 203, 1070, 18971, 1188, 24014, 203, 1070, 18971, 1188, 1326, 203, 1070, 18971, 1188, 1930, 81, 1986, 203, 725, 280, 24014, 4064, 426, 8223, 203, 32392, 280, 12388, 32, 3765, 81, 35, 203, 50, 725, 32, 4351, 3247, 26496, 370, 4438, 11414, 3705, 3490, 203, 589, 26658, 2262, 284, 3616, 280, 1326, 32, 371, 81, 1260, 26, 25451, 47, 1815, 30, 7650, 47, 1815, 27, 284, 1459, 440, 1104, 23498, 284, 1459, 26, 1260, 32, 16958, 26, 2403, 30, 10525, 47, 38, 490, 284, 736, 280, 1930, 27647, 1394, 26, 2403, 27, 284, 736, 280, 2361, 32, 16958, 26, 575, 30, 10525, 47, 38, 27, 284, 1459, 26, 575, 27, 284, 540, 280, 1930, 81, 1986, 26, 575, 27, 284, 540, 32, 5078, 710, 1777, 31, 620, 785, 280, 330, 3164, 33, 1260, 25, 284, 442, 540, 203, 589, 1930, 27647, 1394, 26, 2403, 711, 284, 415, 3616, 32, 371, 440, 1267, 1895, 371, 440, 1141, 657, 863, 313, 3524, 31, 10401, 563, 291, 442, 12388, 32, 2203, 81, 29718, 26, 2403, 32, 371, 440, 1267, 1895, 371, 440, 1141, 2131, 284, 1056, 280, 3616, 32, 371, 440, 1267, 657, 284, 3377, 280, 1056, 32, 371, 440, 5138, 657, 284, 1430, 288, 280, 3377, 32, 371, 440, 3524, 31, 681, 657, 284, 1430, 288, 280, 1430, 288, 32, 7201, 346, 284, 415, 1430, 288, 10844, 38, 34, 35, 93, 950, 291, 1430, 288, 1057, 6614, 25, 284, 7193, 280, 3377, 32, 371, 440, 939, 1889, 657, 284, 24903, 280, 596, 26, 2403, 32, 371, 440, 1267, 1895, 371, 440, 1141, 2131, 284, 415, 1430, 288, 44, 291, 415, 1430, 288, 328, 12388, 32, 1186, 935, 81, 15630, 44, 324, 24903, 280, 313, 1318, 786, 432, 1370, 301, 1186, 935, 81, 2319, 111, 13077, 438, 301, 2715, 71, 111, 39996, 101, 35145, 1643, 26, 2715, 71, 47, 12892, 32, 371, 81, 10401, 26, 32392, 30, 1430, 288, 471, 13850, 935, 81, 2319, 47, 34946, 27, 291, 813, 44, 324, 24903, 280, 313, 4282, 2800, 1330, 1159, 1346, 13077, 432, 688, 827, 32, 886, 3380, 786, 432, 1370, 1604, 13077, 438, 301, 2715, 71, 111, 39996, 101, 35145, 1643, 26, 400, 2434, 71, 47, 12892, 32, 371, 81, 10401, 26, 32392, 490, 284, 4348, 7193, 44, 291, 24903, 280, 313, 1318, 3380, 786, 432, 1370, 13077, 438, 301, 2715, 71, 111, 39996, 101, 35145, 1643, 26, 2715, 71, 47, 12892, 32, 371, 81, 10401, 26, 32392, 490, 284, 813, 44, 291, 24903, 280, 313, 1318, 3380, 786, 432, 1370, 13077, 438, 301, 2715, 71, 111, 39996, 101, 35145, 1643, 26, 2715, 71, 47, 12892, 32, 371, 81, 10401, 26, 32392, 490, 284, 1459, 440, 1397, 23498, 284, 1459, 26, 21282, 27, 284, 24903, 1454, 2706, 96, 37138, 813, 439, 883, 3049, 844, 623, 11610, 12791, 284, 442, 301, 291, 313, 21282, 563, 24903, 30, 291, 313, 2751, 1031, 563, 24903, 30, 291, 313, 1855, 563, 313, 2833, 20, 284, 320, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 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, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 5, 0, 3, 2, 2, 3, 4, 4, 4, 0, 2, 5, 4, 5, 4, 6, 6, 4, 5, 8, 8, 1, 2, 2, 3, 2, 2, 5, 5, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 3, 3, 6, 8, 8, 3, 3, 6, 9, 8, 9, 8, 9, 8, 8, 9, 10, 8, 3, 3, 5, 5, 7, 7, 7, 8, 7, 3, 3, 5, 5, 7, 8, 7, 8, 7, 7, 8, 9, 7, 3, 3, 6, 7, 6, 3, 3, 5, 5, 7, 7, 7, 8, 7, 3, 3, 7, 8, 6, 8, 8, 8, 8, 5, 5, 7, 7, 7, 7, 3, 3, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 8, 9, 8, 10, 10, 7, 6, 8, 8, 4, 4, 6, 6, 6, 6, 3, 3, 5, 7, 8, 8, 8, 7, 12, 11, 12, 11, 13, 13, 10, 9, 11, 11, 2, 2, 4, 4, 6, 7, 6, 8, 8, 2, 2, 4, 4, 6, 7, 6, 8, 8, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 2, 2, 5, 4, 4, 7, 6, 7, 6, 2, 2, 3, 5, 4, 6, 6, 6, 6, 6, 3, 3, 7, 6, 8, 8, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 2, 2, 4, 4, 6, 11, 10, 11, 10, 12, 12, 9, 8, 10, 10, 2, 2, 3, 4, 3, 3, 3, 5, 7, 6, 6, 7, 8, 8, 8, 8, 5, 5, 5, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 12, 12, 11, 14, 13, 14, 14, 14, 13, 14, 13, 13, 14, 13, 10, 12, 12, 12, 11, 12, 10, 5, 5, 6, 6, 6, 9, 9, 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, 12, 11, 11, 11, 13, 12, 15, 14, 15, 15, 15, 14, 15, 14, 3, 3, 4, 4, 4, 4, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 11, 11, 10, 13, 12, 13, 13, 13, 12, 13, 12, 3, 3, 4, 4, 4, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 11, 11, 10, 13, 12, 13, 13, 13, 12, 13, 12, 2, 2, 5, 7, 7, 2, 2, 5, 6, 5, 2, 2, 4, 4, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 7, 7, 5, 4, 4, 4, 7, 7, 7, 5, 4, 4, 4, 7, 7, 5, 7, 7, 4, 4, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 2, 10, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 8, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 5, 0, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 4, 4, 8, 1, 8, 8, 8, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 0, 0, 0, 3, 2, 1, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 8, 8, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 8, 8, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 12, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 5, 1, 2, 1, 1, 0, 12, 12, 0, 0, 1, 1, 1, 1, 12 ]

[ 465, 5237, 203, 465, 1344, 4071, 203, 1070, 16539, 1188, 447, 1676, 30, 21925, 1304, 203, 81, 13289, 32739, 280, 330, 3902, 31, 4783, 31, 2314, 340, 14569, 31, 2067, 5937, 25, 203, 589, 617, 2067, 5937, 26, 7003, 30, 354, 3225, 30, 3692, 81, 5553, 30, 3692, 81, 5483, 711, 284, 2181, 280, 428, 291, 617, 13289, 32739, 30, 291, 6470, 86, 370, 291, 6470, 57, 370, 291, 5298, 30, 291, 11363, 1366, 31, 2468, 47, 34, 106, 23, 34, 42, 74, 25, 904, 308, 104, 3225, 429, 308, 38, 319, 3692, 81, 5553, 3662, 291, 11363, 4048, 31, 2468, 47, 34, 106, 23, 34, 42, 74, 25, 904, 308, 104, 3225, 474, 225, 38, 474, 308, 38, 319, 3692, 81, 5483, 12634, 284, 8839, 280, 3692, 81, 5553, 284, 5430, 280, 225, 34, 284, 436, 1628, 328, 447, 1676, 26, 1132, 30, 12532, 47, 18165, 547, 9362, 32, 850, 922, 2998, 9442, 96, 7831, 291, 415, 1628, 32, 15990, 463, 330, 711, 324, 415, 8839, 610, 225, 34, 44, 400, 1459, 330, 4289, 5769, 1628, 324, 813, 44, 400, 1459, 330, 264, 5769, 1628, 324, 8839, 5912, 225, 35, 324, 5430, 1454, 225, 35, 284, 415, 646, 5430, 44, 291, 1459, 330, 264, 308, 1206, 2431, 9905, 203, 589, 617, 14211, 81, 1338, 26, 687, 711, 284, 442, 301, 291, 330, 93, 14764, 16926, 950, 2107, 9597, 438, 11135, 370, 225, 34, 30, 225, 34, 614, 291, 330, 93, 14764, 10094, 16380, 1507, 5516, 950, 2107, 1318, 8050, 432, 458, 5573, 438, 330, 324, 330, 2050, 432, 600, 12404, 6613, 688, 2298, 526, 10768, 328, 3536, 30, 330, 324, 330, 271, 438, 4447, 706, 370, 1802, 34, 30, 225, 34, 614, 291, 330, 93, 14764, 5516, 53, 4160, 1464, 4767, 950, 2107, 2272, 12404, 438, 1742, 432, 312, 330, 324, 330, 7508, 688, 2298, 5742, 328, 3536, 30, 1273, 561, 34157, 312, 9914, 6731, 330, 324, 11363, 1259, 600, 30434, 5573, 1631, 1760, 561, 370, 1802, 35, 30, 225, 35, 614, 291, 330, 93, 14764, 10094, 3817, 5077, 950, 2107, 2272, 5573, 11420, 312, 3894, 688, 438, 330, 324, 330, 31238, 432, 322, 3022, 6945, 101, 15012, 1340, 30, 461, 438, 646, 312, 2080, 330, 324, 330, 359, 757, 29391, 3414, 2260, 370, 225, 34, 30, 225, 34, 614, 291, 330, 93, 14764, 16926, 3013, 2780, 950, 2107, 2272, 2968, 12404, 438, 646, 48911, 981, 810, 330, 324, 330, 83, 2080, 2965, 5941, 12404, 370, 225, 35, 30, 225, 34, 614, 291, 330, 93, 14764, 16926, 10094, 950, 2107, 2272, 30434, 5573, 12404, 438, 646, 330, 324, 330, 1001, 369, 981, 810, 312, 2080, 2965, 5941, 12404, 370, 225, 35, 30, 225, 34, 614, 291, 330, 93, 14764, 16926, 750, 2538, 950, 2107, 2272, 12404, 30789, 312, 3909, 688, 330, 324, 330, 12172, 4799, 312, 2080, 706, 31, 3419, 2965, 30, 1273, 438, 646, 14628, 810, 330, 324, 330, 83, 2080, 2965, 5941, 12404, 370, 225, 34, 30, 225, 35, 614, 291, 330, 93, 14764, 11055, 4329, 950, 2107, 2272, 12404, 3404, 322, 7299, 432, 330, 324, 330, 83, 1491 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 5, 5, 6, 6, 5, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 9, 8, 8, 11, 10, 10, 11, 11, 9, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 10, 9, 9, 10, 8, 8, 11, 10, 10, 11, 11, 9, 2, 2, 4, 4, 5, 5, 2, 2, 4, 4, 5, 2, 2, 3, 3, 3, 10, 10, 11, 10, 10, 11, 12, 10, 9, 7, 8, 7, 6, 5, 8, 7, 3, 3, 5, 7, 8, 7, 9, 7, 5, 5, 7, 8, 8, 9, 7, 7, 7, 9, 11, 11, 9, 7, 7, 8, 8, 8, 10, 12, 12, 10, 6, 6, 8, 8, 9, 6, 6, 8, 8, 9, 2, 2, 3, 4, 3, 3, 3, 5, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 8, 8, 8, 8, 6, 9, 9, 9, 9, 7, 8, 7, 7, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 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, 7, 8, 7, 7, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 8, 7, 7, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 6, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 7, 8, 7, 7, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 7, 8, 7, 7, 8, 7, 5, 5, 8, 8, 8, 8, 8, 6, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 8, 7, 7, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 6, 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, 7, 8, 7, 7, 8, 7, 5, 5, 8, 8, 8, 8, 8, 6, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10 ]

[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 4, 4, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 9, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 2, 4, 4, 3, 3, 3, 0, 1, 1, 1, 1, 3, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 4, 4, 4, 0, 1, 1, 0, 3, 3, 0, 0, 2, 3, 3, 0, 0, 2, 4, 4, 4, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 465, 5237, 30, 323, 108, 36, 203, 1070, 1671, 1188, 319, 203, 1070, 4712, 3812, 1188, 319, 203, 6016, 1263, 1392, 280, 225, 35, 203, 57, 1438, 1460, 280, 225, 34, 203, 3459, 81, 10301, 280, 225, 35, 87, 29, 37, 34, 42, 203, 4683, 81, 10301, 280, 429, 35, 87, 37, 34, 42, 203, 3459, 81, 13899, 2426, 280, 225, 34, 24988, 203, 3459, 81, 34046, 940, 81, 3687, 81, 27803, 40952, 280, 225, 35, 34, 34, 34, 203, 3459, 81, 6755, 1263, 3593, 81, 18416, 280, 225, 35, 34, 203, 19958, 280, 225, 35, 32, 34, 203, 12317, 280, 1605, 203, 4917, 280, 1605, 203, 36309, 280, 1605, 203, 8581, 11832, 280, 1605, 203, 589, 8851, 1777, 26, 88, 30, 595, 711, 203, 202, 325, 595, 610, 225, 34, 44, 357, 202, 325, 296, 32, 998, 32087, 610, 225, 34, 44, 442, 296, 357, 202, 1824, 44, 442, 296, 2867, 88, 32, 1809, 4207, 3830, 203, 202, 12106, 595, 610, 225, 35, 44, 357, 202, 325, 296, 32, 998, 32087, 610, 225, 34, 556, 296, 32, 998, 34203, 657, 610, 225, 35, 44, 442, 225, 34, 357, 202, 1824, 44, 355, 202, 325, 296, 32, 998, 32087, 610, 225, 36, 44, 603, 202, 601, 296, 77, 88, 32, 1809, 32087, 29, 35, 44, 88, 32, 100, 1809, 4207, 3830, 355, 202, 1824, 44, 603, 202, 601, 296, 77, 88, 32, 1809, 32087, 29, 35, 10056, 203, 202, 1824, 44, 357, 202, 325, 296, 32, 998, 32087, 863, 225, 36, 44, 442, 225, 34, 357, 202, 1824, 44, 442, 296, 77, 88, 32, 100, 1809, 32087, 29, 35, 10056, 203, 589, 9169, 39727, 26, 4917, 711, 203, 202, 4537, 280, 428, 3459, 81, 10301, 30, 7482, 81, 10301, 30, 3459, 81, 10301, 79, 203, 202, 934, 280, 225, 428, 4683, 81, 10301, 30, 14369, 81, 10301, 30, 14369, 81, 10301, 79, 203, 202, 979, 8851, 328, 24060, 44, 357, 202, 979, 595, 328, 2155, 26, 37, 711, 355, 202, 979, 354, 328, 2155, 26, 37, 711, 603, 202, 934, 77, 91, 79, 280, 1769, 26, 934, 77, 91, 614, 13228, 77, 1161, 77, 104, 22191, 91, 1130, 603, 202, 4537, 77, 91, 79, 280, 1847, 26, 4537, 77, 91, 614, 13228, 77, 1161, 77, 104, 22191, 91, 1130, 203, 202, 601, 12905, 30, 934, 203, 589, 41947, 5635, 26, 9309, 30, 6122, 1493, 711, 1659, 202, 325, 9228, 77, 34, 79, 848, 6122, 1493, 77, 34, 79, 461, 9228, 77, 35, 79, 848, 6122, 1493, 77, 35, 79, 461, 9228, 77, 36, 79, 848, 6122, 1493, 77, 36, 2786, 202, 601, 225, 34, 203, 202, 325, 9228, 77, 34, 79, 2511, 6122, 1493, 77, 34, 79, 461, 9228, 77, 35, 79, 848, 6122, 1493, 77, 35, 79, 461, 9228, 77, 36, 79, 848, 6122, 1493, 77, 36, 2786, 202, 601, 225, 35, 203, 202, 325, 9228, 77, 34, 79, 848, 6122, 1493, 77, 34, 79, 461, 9228, 77, 35, 79, 848, 6122, 1493, 77, 35, 79, 461, 9228, 77, 36, 79, 2511, 6122, 1493, 77, 36, 2786, 202, 601, 225, 36 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 2, 2, 3, 3, 3, 0, 3, 2, 2, 0, 3, 2, 2, 0, 3, 2, 2, 0, 3, 3, 2, 2, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 4, 4, 5, 3, 3, 3, 5, 5, 8, 9, 8, 6, 6, 7, 5, 5, 7, 5, 5, 6, 6, 6, 8, 9, 13, 12, 13, 12, 14, 3, 3, 4, 4, 5, 5, 6, 4, 4, 4, 6, 6, 10, 11, 10, 8, 8, 9, 7, 7, 10, 11, 10, 12, 8, 8, 9, 6, 6, 8, 9, 6, 6, 7, 7, 7, 7, 9, 9, 12, 13, 12, 10, 10, 11, 9, 9, 9, 11, 11, 12, 17, 16, 17, 16, 14, 15, 13, 16, 15, 16, 16, 15, 17, 9, 9, 10, 10, 10, 10, 12, 12, 13, 18, 17, 18, 17, 15, 16, 14, 3, 3, 4, 4, 4, 4, 6, 6, 9, 10, 9, 7, 7, 8, 6, 6, 8, 9, 6, 6, 7, 7, 7, 9, 10, 15, 14, 15, 15, 14, 12, 13, 11, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 5, 5, 6, 6, 5, 6, 6, 6, 5, 2, 2, 5, 4, 4, 4, 6, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 7, 8, 7, 5, 5, 7, 7, 7, 7, 9, 10, 9, 7, 7, 12, 11, 12, 11, 10, 10, 12, 14, 13, 14, 13, 12, 14, 16, 15, 16, 15, 14, 13, 8, 8, 12, 11, 12, 11, 10, 10, 12, 14, 13, 14, 13, 12, 14, 16, 15, 16, 15, 14, 13, 2, 2, 3, 3, 4, 5, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 3, 7, 8, 7, 6, 6, 8, 7, 8, 7, 5, 5, 7, 8, 7, 6, 6, 8, 7, 8, 7, 4, 4, 6, 7, 6, 5, 5, 7, 6, 7, 6, 3, 5, 5, 6, 2, 2, 3, 3, 7, 8, 7, 6, 6, 8, 7, 8, 7, 5, 5, 7, 8, 7, 6, 6, 8, 7, 8, 7, 4, 4, 6, 7, 6, 5, 5, 7, 6, 7, 6, 3, 5, 5, 6, 2, 2, 3, 3, 7, 8, 7, 6, 6, 8, 7, 8, 7, 5, 5, 7, 8, 7, 6, 6, 8, 7, 8, 7, 4, 4, 6, 7, 6, 5, 5, 7, 6, 7, 6, 3, 5, 5, 6 ]

[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 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, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 15, 1, 2, 1, 2, 2, 2, 15, 15, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 4, 4, 4, 0, 1, 0, 0, 2, 1, 2, 0, 0, 4, 4, 1, 1, 2, 4, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 4, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 4, 4, 4, 4, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 5, 5, 5, 5, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 4, 4, 4, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 5, 5, 5, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 3, 5, 5, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 3, 4, 4, 3, 3, 1, 2, 0, 17, 17, 1, 2, 1, 2, 2, 3, 2, 17, 17, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 4, 4, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 4, 4, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1 ]

[ 465, 6436, 619, 2065, 203, 823, 5892, 265, 81, 45057, 26, 1473, 711, 284, 313, 264, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 4698, 3251, 280, 3177, 284, 665, 8157, 26, 784, 30, 74, 711, 291, 313, 351, 415, 1593, 32, 29704, 610, 225, 35, 44, 1593, 280, 1593, 32, 12091, 3736, 35, 30, 35, 27, 291, 630, 32, 74, 887, 280, 2065, 32, 887, 26, 74, 30, 5082, 47, 34, 27, 291, 630, 32, 74, 1449, 280, 2065, 32, 1449, 26, 74, 30, 5082, 47, 34, 27, 291, 630, 32, 4698, 3251, 280, 2933, 284, 665, 4522, 26, 784, 30, 74, 711, 291, 313, 351, 415, 1593, 32, 29704, 610, 225, 35, 44, 1593, 280, 1593, 32, 12091, 3736, 35, 30, 35, 27, 291, 415, 646, 630, 32, 4698, 3251, 44, 630, 32, 4698, 26, 74, 27, 291, 1593, 1545, 280, 225, 36, 32, 34, 319, 308, 308, 74, 6894, 10056, 31, 784, 32, 74, 887, 25104, 784, 32, 74, 1449, 429, 630, 32, 74, 887, 27, 829, 429, 225, 35, 32, 34, 291, 442, 1593, 1545, 3701, 665, 707, 3792, 26, 784, 30, 74, 711, 291, 313, 351, 415, 1593, 32, 29704, 610, 225, 35, 44, 1593, 280, 1593, 32, 12091, 3736, 35, 30, 35, 27, 291, 415, 646, 630, 32, 4698, 3251, 44, 324, 3636, 3268, 463, 29774, 1401, 646, 2583, 8157, 3251, 683, 291, 1593, 311, 1545, 280, 225, 34, 32, 39, 8088, 74, 6894, 44, 6155, 35, 20106, 784, 32, 74, 1449, 429, 630, 32, 74, 887, 27, 474, 630, 32, 74, 887, 291, 442, 1593, 311, 1545, 203, 823, 5892, 265, 81, 6009, 869, 26, 1473, 711, 284, 313, 264, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 4698, 3251, 280, 3177, 284, 665, 8157, 26, 784, 30, 74, 711, 291, 313, 351, 415, 1593, 32, 29704, 610, 225, 35, 44, 1593, 280, 1593, 32, 12091, 3736, 35, 30, 35, 27, 291, 630, 32, 74, 6009, 280, 2065, 32, 6009, 26, 74, 30, 5082, 47, 34, 27, 291, 630, 32, 74, 1530, 225, 280, 2065, 32, 1530, 26, 74, 30, 5082, 47, 34, 27, 291, 630, 32, 4698, 3251, 280, 2933, 284, 665, 4522, 26, 784, 30, 74, 711, 291, 313, 351, 415, 1593, 32, 29704, 610, 225, 35, 44, 1593, 280, 1593, 32, 12091, 3736, 35, 30, 35, 27, 291, 415, 646, 630, 32, 4698, 3251, 44, 630, 32, 4698, 26, 74, 27, 291, 15376, 280, 2065, 32, 88, 1338, 26, 2356, 32, 1808, 40, 38, 547, 20259, 291, 1593, 1545, 280, 308, 74, 6894, 10056, 31, 784, 32, 74, 6009, 25104, 784, 32, 74, 1530, 29, 17685, 27, 291, 442, 1593, 1545, 3701, 665, 707, 3792, 26, 784, 30, 74, 711, 291, 313, 351, 415, 1593, 32, 29704, 610, 225, 35, 44, 1593, 280, 1593, 32, 12091, 3736, 35, 30, 35, 27, 291, 415, 646, 630, 32, 4698, 3251, 44, 324, 3636, 3268, 463, 29774, 1401, 646, 2583, 8157, 3251, 683, 291, 15376, 280, 2065, 32, 88, 1338, 26, 2356, 32, 1808, 40, 38, 547, 20259, 291, 1593, 311, 1545, 280 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 5, 4, 3, 3, 3, 3, 5, 7, 8, 6, 6, 7, 5, 5, 8, 8, 10, 11, 10, 12, 10, 11, 10, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 5, 4, 3, 3, 3, 3, 5, 7, 8, 6, 6, 7, 5, 5, 8, 8, 10, 11, 10, 12, 10, 11, 10, 4, 4, 5, 6, 7, 8, 8, 5, 5, 9, 10, 9, 10, 9, 4, 4, 7, 6, 6, 9, 9, 9, 8, 8, 9, 14, 13, 14, 12, 14, 13, 14, 14, 11, 14, 13, 14, 14, 12, 12, 13, 14, 14, 11, 9, 7, 7, 8, 8, 8, 4, 4, 5, 6, 2, 2, 3, 4, 4, 5, 4, 5, 4, 3, 3, 3, 3, 5, 7, 8, 6, 6, 7, 5, 5, 8, 8, 10, 11, 10, 12, 10, 11, 10, 4, 4, 5, 6, 7, 8, 8, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 6, 6, 10, 10, 10, 9, 13, 12, 13, 12, 12, 10, 12, 11, 12, 12, 10, 10, 11, 12, 12, 9, 7, 7, 8, 9, 9, 4, 4, 5, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 5, 4, 3, 3, 3, 3, 5, 7, 8, 6, 6, 7, 5, 5, 8, 8, 10, 11, 10, 12, 10, 11, 10, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 6, 6, 6, 8, 9, 8, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 5, 4, 3, 3, 3, 3, 5, 7, 8, 6, 6, 7, 5, 5, 8, 8, 10, 11, 10, 12, 10, 11, 10, 4, 4, 5, 6, 7, 8, 8, 5, 5, 9, 10, 9, 10, 9, 4, 4, 6, 6, 9, 10, 10, 9, 11, 10, 11, 11, 11, 9, 8, 4, 4, 7, 6, 6, 11, 10, 11, 9, 11, 10, 11, 11, 8, 11, 10, 11, 11, 9, 10, 8, 4, 4, 5, 6, 2, 2, 3, 4, 4, 5, 4, 5, 4, 3, 3, 3, 3, 5, 7, 8, 6, 6, 7, 5, 5, 8, 8, 10, 11, 10, 12, 10, 11, 10, 4, 4, 5, 6, 7, 8, 8, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 9, 10, 10, 9, 11, 10, 11, 11, 11, 9, 8, 4, 4, 7, 7, 6 ]

[ 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 5, 5, 1, 2, 1, 2, 3, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 5, 5, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 0, 2, 2, 0, 0, 5, 5, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 5, 5, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 3, 1, 5, 5, 3, 1, 2, 1, 2, 3, 2, 3, 3, 3, 3, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 5, 5, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 3, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 5, 5, 1, 2, 1, 2, 3, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 5, 5, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 0, 2, 2, 0, 0, 5, 5, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 5, 5, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 4, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 5, 5, 4, 1, 5, 5, 3, 1, 2, 1, 2, 3, 2, 3, 3, 3, 3, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 5, 5, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 5, 5, 0, 0, 0 ]

[ 1070, 8527, 32, 36287, 1188, 2908, 30, 5668, 30, 2908, 81, 452, 81, 1986, 203, 465, 10020, 203, 1070, 4377, 8538, 1188, 2192, 102, 1241, 203, 1070, 4377, 8538, 1188, 3022, 1241, 203, 1070, 4377, 2304, 1188, 6687, 1733, 203, 1070, 4377, 2304, 1188, 6687, 6705, 1733, 203, 1070, 4377, 2304, 1188, 10572, 1733, 203, 1070, 4377, 2304, 1188, 892, 1733, 203, 1070, 4377, 2304, 32, 1215, 1733, 1188, 5380, 203, 1070, 4377, 2304, 32, 1215, 1733, 1188, 13030, 203, 1070, 4377, 3868, 32, 2447, 1227, 1188, 12059, 1227, 203, 1070, 4377, 3868, 32, 2727, 620, 1188, 1995, 9491, 285, 620, 203, 1070, 4377, 3868, 32, 5506, 620, 1188, 15660, 620, 203, 1070, 4377, 2304, 1188, 6548, 1733, 203, 1070, 4377, 2304, 1188, 1171, 1733, 203, 1070, 4377, 8288, 1188, 1245, 203, 589, 3022, 1908, 26, 1357, 711, 284, 1596, 44, 291, 3523, 280, 1326, 32, 2848, 291, 1340, 280, 12059, 1227, 32, 725, 19735, 81, 3164, 32, 853, 291, 2404, 280, 3523, 32, 371, 463, 2393, 81, 1956, 683, 291, 2074, 81, 314, 280, 3523, 32, 371, 463, 2250, 81, 314, 683, 291, 3022, 280, 4247, 291, 1149, 280, 4247, 291, 1149, 280, 6687, 1733, 32, 371, 81, 3164, 81, 1648, 26, 324, 1340, 30, 2404, 30, 2074, 81, 314, 27, 291, 415, 1326, 32, 1959, 610, 313, 2788, 563, 324, 3022, 280, 1326, 32, 2848, 32, 371, 463, 105, 81, 725, 81, 1613, 683, 324, 442, 2908, 26, 1357, 30, 13030, 32, 725, 6285, 81, 3164, 1908, 30, 3775, 5053, 668, 950, 1149, 30, 330, 3164, 950, 3022, 30, 6029, 330, 1436, 950, 4247, 1748, 291, 4348, 1326, 32, 1959, 610, 313, 3705, 563, 324, 4356, 280, 1326, 32, 3705, 324, 3022, 280, 2192, 9275, 26, 753, 27, 324, 2234, 280, 2192, 102, 1241, 26, 3164, 27, 324, 415, 646, 2234, 32, 297, 81, 1327, 2262, 400, 442, 2908, 26, 1357, 30, 13030, 32, 725, 6285, 81, 3164, 1908, 30, 4985, 5053, 668, 950, 1149, 30, 330, 3164, 950, 3022, 30, 7686, 330, 599, 950, 2234, 30, 330, 1436, 950, 4247, 1748, 324, 1326, 32, 2848, 710, 105, 81, 725, 81, 1613, 785, 280, 3022, 324, 442, 5668, 26, 1215, 32, 725, 6285, 81, 9236, 1908, 27, 284, 2940, 3268, 619, 538, 44, 291, 1245, 32, 731, 26, 4206, 1227, 32, 725, 19735, 81, 3164, 32, 853, 30, 1665, 30, 538, 27, 291, 442, 2908, 26, 1357, 30, 13030, 32, 725, 6285, 81, 3164, 1908, 30, 2855, 5053, 668, 950, 1149, 30, 330, 3164, 950, 3022, 30, 5556, 330, 1436, 950, 596, 26, 327, 25952, 203, 589, 3022, 1922, 26, 1357, 711, 284, 1340, 280, 12059, 1227, 32, 3164, 1922, 32, 853, 284, 1845, 44187, 280, 1149, 26, 1290, 9491, 285, 620, 27, 284, 7079, 280, 1149, 26, 5506, 620, 27, 284, 10737, 280, 1665, 284, 1596, 44, 291, 415, 646, 6548, 1733, 32, 1553, 81, 3615, 26, 1357, 711, 324, 442, 5668, 26, 1215, 32, 12646, 27, 291, 415, 646, 6548, 1733, 32, 1553, 81, 9198, 26, 1357, 30, 330, 3164, 370, 330, 1297, 7831, 324, 442, 2908, 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, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 3, 4, 4, 1, 1, 0, 1, 1, 4, 3, 4, 4, 1, 1, 0, 1, 1, 4, 3, 4, 4, 1, 1, 3, 0, 1, 1, 4, 3, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 4, 3, 4, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 3, 6, 6, 7, 8, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 7, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 6, 6, 4, 4, 6, 6, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 8, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 6, 6, 7, 9, 10, 9, 9, 10, 11, 11, 11, 11, 11, 9, 9, 9, 13, 13, 11, 10, 10, 13, 13, 11, 10, 10, 10, 13, 13, 11, 10, 5, 5, 6, 8, 9, 7, 7, 9, 9, 6, 6, 9, 9, 10, 11, 7, 7, 9, 9, 11, 11, 12, 11, 7, 7, 9, 9, 11, 11, 11, 12, 11, 7, 7, 8, 9, 11, 12, 12, 12, 11, 8, 8, 10, 12, 13, 12, 12, 13, 14, 14, 14, 14, 14, 12, 12, 12, 16, 16, 14, 13, 13, 16, 16, 14, 13, 13, 13, 16, 16, 14, 13, 13, 16, 16, 14, 13, 7, 7, 11, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 8, 10, 12, 11, 12, 12, 12, 12, 12, 10, 3, 3, 4, 5, 5, 4, 4, 4, 8, 9, 8, 11, 11, 10, 11, 11, 11, 11, 9, 10, 8, 8, 8, 8, 8, 5, 5, 6, 8, 9, 8, 8, 9, 10, 10, 10, 10, 10, 8, 8, 8, 12, 12, 10, 9, 9, 12, 12, 10, 9, 9, 9, 12, 12, 10, 12, 13, 12, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 7, 6, 7, 7, 5, 6, 2, 2, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 2, 2, 4, 4, 2, 2, 3, 3, 3, 5, 6, 9, 8, 9, 9, 9, 8, 9, 8, 5, 5, 7, 9, 11, 10, 11, 9, 4, 4, 5, 6, 9, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 8, 10, 10, 5, 5, 7, 9 ]

[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 0, 7, 7, 0, 0, 8, 8, 0, 1, 2, 2, 8, 8, 0, 9, 9, 0, 1, 2, 2, 9, 9, 0, 10, 10, 0, 1, 2, 2, 10, 10, 0, 0, 11, 11, 0, 1, 2, 2, 11, 11, 0, 0, 0, 0, 12, 12, 0, 1, 2, 2, 12, 12, 0, 0, 13, 13, 0, 13, 13, 0, 0, 14, 14, 0, 14, 14, 0, 0, 15, 15, 0, 15, 15, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 2, 2, 7, 0, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 5, 5, 1, 2, 3, 5, 5, 5, 1, 2, 5, 5, 7, 7, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 3, 3, 3, 1, 0, 2, 2, 2, 1, 3, 3, 0, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 5, 5, 1, 2, 3, 5, 5, 5, 1, 2, 5, 5, 5, 1, 2, 7, 5, 3, 3, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 3, 3, 5, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 5, 5, 1, 2, 3, 5, 5, 5, 1, 2, 5, 1, 1, 1, 0, 17, 17, 1, 2, 1, 2, 17, 17, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0 ]

[ 465, 2361, 203, 465, 2322, 203, 465, 5237, 203, 1070, 35094, 1188, 33845, 203, 1070, 11993, 1188, 6204, 30, 27087, 30, 14580, 30, 19209, 30, 1682, 30, 5648, 30, 1756, 30, 2768, 1881, 30, 9936, 203, 1070, 1288, 37790, 1188, 5675, 203, 1070, 1288, 26645, 32, 1356, 1188, 345, 4903, 203, 1070, 1288, 26645, 32, 3378, 1188, 622, 81, 21355, 30, 622, 81, 496, 203, 1070, 1288, 26645, 32, 13933, 32, 13933, 1188, 6042, 81, 25478, 270, 81, 13933, 81, 3968, 203, 76, 792, 2027, 81, 3197, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 505, 7748, 203, 3765, 81, 9842, 69, 44, 14580, 77, 466, 30, 27087, 40557, 1300, 3212, 280, 2149, 203, 18250, 1345, 81, 3765, 81, 9842, 69, 44, 1756, 77, 466, 79, 280, 739, 346, 203, 12550, 10330, 81, 3765, 81, 9842, 69, 44, 1756, 77, 466, 79, 280, 739, 346, 203, 4206, 70, 280, 2768, 1881, 440, 4206, 70, 392, 5085, 47, 14489, 40557, 1300, 1130, 203, 589, 2156, 1237, 81, 858, 81, 1126, 26, 7986, 44, 596, 27, 967, 27087, 9532, 4206, 70, 614, 12059, 70, 2786, 284, 665, 7767, 26, 858, 81, 1298, 44, 12059, 70, 27, 967, 12059, 70, 44, 291, 477, 4071, 101, 26, 858, 81, 1298, 27, 291, 665, 617, 4133, 81, 13842, 81, 5098, 2740, 1132, 44, 1300, 30, 1115, 5321, 44, 1300, 27, 967, 1300, 44, 324, 31290, 10330, 81, 3765, 81, 9842, 69, 32, 669, 26, 858, 81, 1298, 3667, 426, 8223, 324, 442, 894, 81, 1298, 2740, 1132, 30, 1115, 5321, 27, 291, 11752, 15801, 1345, 81, 3765, 81, 9842, 69, 32, 669, 26, 858, 81, 1298, 3667, 426, 8223, 291, 5895, 81, 9842, 69, 77, 7986, 79, 280, 617, 4133, 81, 13842, 81, 5098, 291, 442, 9936, 26, 4206, 70, 30, 617, 4133, 81, 13842, 81, 5098, 27, 10065, 442, 7767, 203, 589, 7279, 81, 3707, 26, 3631, 81, 668, 44, 1682, 77, 410, 614, 1256, 81, 4243, 44, 1682, 77, 466, 1130, 967, 1665, 44, 284, 24482, 280, 622, 81, 21355, 440, 108, 37790, 657, 284, 1256, 81, 3631, 280, 428, 371, 81, 496, 26, 426, 474, 6640, 108, 37790, 32, 508, 392, 24482, 547, 314, 436, 636, 328, 1256, 81, 4243, 79, 284, 1201, 9668, 81, 668, 610, 1256, 81, 3631, 203, 50, 13933, 81, 858, 81, 1126, 4207, 3707, 33, 289, 33, 16550, 44, 1526, 657, 203, 589, 1015, 81, 16550, 26, 1580, 44, 5675, 27, 967, 1665, 44, 284, 1056, 280, 2043, 32, 669, 81, 16550, 26, 291, 18393, 6020, 324, 301, 400, 313, 426, 563, 313, 890, 3443, 392, 400, 313, 2310, 563, 313, 1812, 3443, 436, 6325, 392, 324, 801, 291, 2505, 284, 829, 284, 6042, 81, 25478, 270, 81, 13933, 81, 3968, 26, 1267, 30, 2430, 3707, 33, 289, 33, 16550, 392, 313, 1526, 392, 313, 36, 34, 34, 81, 34, 657, 284, 1256, 81, 314, 280, 225, 36, 40, 284, 1056, 280, 2043, 32, 669, 81, 16550, 26, 291, 18393, 6020 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 10, 0, 3, 3, 3, 3, 2, 2, 5, 7, 5, 5, 8, 8, 8, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 7, 5, 2, 2, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 7, 5, 2, 2, 4, 0, 3, 3, 2, 2, 4, 4, 6, 6, 6, 4, 5, 7, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 3, 2, 1, 1, 4, 7, 7, 6, 4, 6, 4, 1, 1, 3, 4, 6, 6, 6, 5, 5, 7, 4, 3, 3, 5, 3, 3, 3, 8, 8, 8, 9, 9, 9, 8, 5, 5, 6, 7, 7, 7, 7, 7, 7, 10, 8, 8, 7, 7, 10, 8, 8, 7, 6, 6, 6, 6, 6, 11, 11, 11, 11, 11, 11, 10, 11, 10, 12, 12, 12, 11, 12, 12, 7, 7, 8, 10, 10, 10, 12, 10, 10, 12, 10, 4, 4, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 9, 9, 9, 8, 9, 9, 4, 4, 8, 8, 8, 7, 8, 7, 6, 6, 7, 7, 7, 7, 7, 4, 4, 5, 7, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 3, 6, 8, 6, 2, 4, 4, 3, 3, 6, 8, 6, 1, 1, 1, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 2, 2, 5, 5, 4, 4, 8, 8, 8, 8, 10, 9, 9, 11, 11, 11, 11, 11, 8, 8, 7, 5, 6, 6, 6, 7, 7, 5, 2, 2, 3, 5, 5, 4, 4, 5, 5, 0, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 5, 4, 4, 3, 2, 2, 2, 2, 2, 5, 5, 7, 8, 8, 8, 7, 7, 7, 8, 9, 9, 10, 10, 13, 13, 11, 13, 13, 13, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 10, 10, 9, 9, 7, 7, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 5, 5, 6, 6, 3, 3, 5, 5, 7, 8, 8, 8, 7, 7, 7, 8 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 0, 2, 2, 2, 0, 14, 14, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 14, 14, 1, 1, 1, 0, 1, 0, 1, 14, 14, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 3, 3, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 6, 6, 1, 0, 0, 1, 1, 1, 1, 1, 1, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 6, 6, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 6, 6, 3, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 6, 6, 1, 0, 15, 15, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 3, 3, 1, 0, 1, 15, 15, 15, 15, 15, 0, 0, 0, 0, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 6, 6, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 16, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 2, 2, 6, 6, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1 ]

[ 1070, 2361, 8358, 1356, 1188, 4226, 5392, 203, 1070, 2361, 8358, 1356, 32, 5291, 3265, 9505, 2059, 1188, 447, 29291, 3265, 9505, 2059, 203, 1070, 2361, 8358, 1356, 32, 3426, 5178, 1188, 48418, 203, 465, 3995, 203, 465, 26313, 203, 465, 15798, 203, 589, 1015, 26, 83, 30, 323, 711, 284, 442, 312, 29, 84, 203, 823, 447, 29291, 2059, 4470, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1536, 81, 5178, 26, 784, 30, 6929, 47, 2521, 711, 291, 2145, 280, 447, 29291, 3265, 9505, 2059, 26146, 5007, 392, 225, 34, 471, 3664, 81, 5178, 47, 5178, 27, 291, 2145, 32, 3317, 81, 1126, 26, 669, 27, 291, 3664, 280, 26313, 32, 3021, 26, 1977, 47, 1786, 32, 6455, 81, 1444, 424, 27, 291, 3664, 32, 19186, 280, 2933, 291, 3664, 32, 1366, 346, 291, 2601, 280, 2145, 32, 4817, 32, 371, 9184, 426, 8532, 35, 79, 291, 2043, 280, 4226, 5392, 440, 525, 555, 5007, 8029, 34, 16054, 1643, 26, 625, 490, 291, 436, 617, 328, 2155, 26, 35, 34, 711, 324, 312, 30, 323, 280, 3995, 32, 3855, 1026, 3995, 32, 3855, 346, 324, 1056, 280, 2043, 32, 669, 26, 83, 30, 323, 27, 324, 630, 32, 5299, 26, 1267, 30, 312, 29, 84, 27, 291, 2145, 32, 1786, 81, 2679, 346, 291, 3664, 32, 2524, 346, 284, 665, 894, 81, 2988, 81, 5178, 26, 784, 711, 291, 6929, 280, 48418, 26, 36, 27, 291, 6929, 32, 1366, 346, 291, 630, 32, 858, 81, 1536, 81, 5178, 26, 5178, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 4, 5, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 11, 11, 9, 10, 9, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 11, 10, 11, 11, 11, 11, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 7, 4, 4, 6, 6, 10, 11, 9, 10, 10, 10, 9, 8, 7, 4, 4, 6, 6, 8, 8, 12, 12, 12, 12, 12, 12, 11, 10, 11, 10, 4, 4, 5, 5, 5, 7, 8, 8, 7, 5, 5, 9, 9, 8, 8, 11, 12, 11, 9, 11, 12, 11, 6, 6, 8, 8, 10, 11, 10, 11, 10, 10, 10, 6, 6, 9, 10, 9, 10, 9, 9, 10, 11, 9, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 2, 1, 2, 2, 2, 6, 6, 0, 1, 2, 0, 7, 7, 1, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 7, 7, 7, 1, 1, 1, 1, 7, 7, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 4942, 1188, 15022, 203, 1070, 4759, 32, 1160, 1188, 345, 203, 1070, 2575, 32, 4073, 81, 4313, 1188, 498, 203, 465, 20717, 203, 1070, 4942, 1188, 8745, 203, 589, 1974, 81, 2988, 81, 23528, 26, 7173, 81, 687, 30, 9565, 81, 853, 30, 11748, 47, 2700, 30, 5079, 81, 9785, 47, 2700, 711, 284, 31122, 280, 345, 32, 6767, 3402, 28632, 32, 1809, 81, 658, 1371, 95, 32, 6767, 3402, 28632, 32, 17593, 81, 7173, 81, 687, 44, 9565, 81, 687, 30, 2476, 345, 32, 6767, 3402, 28632, 32, 17593, 81, 2035, 81, 426, 44, 15022, 32, 8472, 81, 2474, 1748, 284, 415, 31122, 438, 646, 1665, 44, 291, 31122, 32, 23528, 81, 297, 81, 267, 280, 9565, 81, 853, 291, 31122, 32, 2853, 81, 8968, 81, 4151, 26, 17050, 47, 9353, 27, 291, 498, 32, 94, 32, 1338, 463, 9032, 31122, 2149, 909, 1279, 16805, 1643, 26, 7173, 81, 687, 30, 9565, 81, 853, 490, 284, 813, 44, 291, 415, 646, 5079, 81, 9785, 44, 324, 498, 32, 94, 32, 5691, 463, 12014, 372, 2290, 31122, 9565, 19553, 1643, 26, 7173, 81, 687, 490, 203, 589, 1974, 81, 9453, 81, 2988, 81, 23528, 26, 23528, 30, 438, 81, 267, 711, 284, 31122, 32, 23528, 81, 297, 81, 267, 280, 438, 81, 267, 284, 31122, 32, 2853, 81, 8968, 81, 4151, 26, 17050, 47, 1815, 27, 284, 498, 32, 94, 32, 1338, 463, 9032, 7503, 31122, 2149, 909, 1279, 16805, 1643, 26, 23528, 30, 438, 81, 267, 490, 203, 823, 8437, 44, 284, 617, 625, 81, 668, 280, 1605, 284, 827, 280, 1665, 284, 11406, 81, 12195, 280, 330, 17593, 25, 284, 11406, 81, 1164, 9382, 280, 330, 98, 19095, 25, 284, 11406, 81, 3429, 56, 42, 39, 41, 38, 280, 330, 1970, 88, 42, 39, 41, 38, 25, 284, 617, 2516, 280, 20073, 470, 2009, 2319, 81, 12195, 30, 11406, 81, 1164, 9382, 30, 11406, 81, 3429, 56, 42, 39, 41, 38, 1130, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 203, 823, 5582, 3437, 26, 3437, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 203, 823, 4237, 3437, 26, 3437, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 203, 823, 439, 1952, 373, 26, 1612, 3437, 30, 5582, 3437, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 203, 823, 570, 23450, 1761, 44, 284, 1156, 2559, 32095, 505, 280, 20717, 32, 1319, 3103, 2281, 284, 477, 16099, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 1700, 81, 4133, 26, 4133, 711, 291, 442, 1665, 30, 1665, 284, 477, 16099, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 1199, 81, 4133, 26, 678, 711, 291, 442, 1665, 284, 665, 3627, 81, 1877, 26, 784, 30, 3627, 30, 5372, 81, 4151, 711, 291, 1550, 81, 4133, 30, 1202, 280, 630, 32, 371, 81, 1700, 81, 4133, 26, 4133, 27, 291, 415, 1550, 81, 4133, 438, 646, 1665, 44, 324, 537, 81, 4133, 280, 630, 32, 2067, 346, 324, 10306, 280, 2149, 324, 436, 1600, 328, 5372, 81, 4151, 44, 400, 909, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 7, 8, 8, 8, 6, 7, 7, 7, 6, 11, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 8, 8, 9, 9, 7, 7, 7, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 7, 2, 2, 3, 4, 4, 4, 3, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 8, 9, 7, 8, 7, 11, 11, 11, 11, 11, 11, 10, 9, 10, 10, 10, 9, 9, 10, 10, 9, 3, 3, 4, 4, 4, 6, 7, 8, 8, 6, 6, 6, 11, 12, 10, 11, 10, 14, 14, 14, 14, 14, 14, 13, 12, 13, 13, 13, 12, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 6, 6, 6, 6, 6, 4, 4, 5, 5, 2, 2, 5, 6, 6, 6, 6, 6, 5, 7, 6, 7, 5, 2, 2, 6, 7, 5, 6, 5, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 7, 8, 8, 7, 0, 1, 1, 1, 1, 1, 5, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 0, 1, 1, 2, 2, 1, 1, 1, 5, 5, 5, 4, 4, 5, 6, 6, 6, 2, 2, 5, 3, 3, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 7, 2, 2, 5, 3, 3, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 8, 8, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 6, 6, 8, 8, 6, 6, 7, 7, 7, 8, 8, 7, 7, 7, 10 ]

[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 5, 5, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 3, 3, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 6, 6, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 5, 5, 5, 5, 1, 3, 3, 6, 1, 1, 1, 2, 6, 6, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 0, 0, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 2, 0, 0, 0, 10, 10, 1, 1, 2, 1, 1, 2, 2, 3, 2, 10, 10, 0, 1, 1, 1, 2, 0, 0, 0, 11, 11, 1, 1, 11, 11, 11, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 3, 3, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 3, 3, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 0 ]

[ 465, 1133, 203, 1070, 5237, 1188, 4323, 203, 1270, 44, 284, 645, 35381, 1188, 4361, 203, 7343, 29986, 44, 284, 4323, 463, 2272, 3261, 7171, 322, 298, 335, 741, 2297, 78, 96, 7203, 623, 44, 12798, 10773, 2443, 298, 335, 741, 683, 203, 465, 707, 41431, 90, 550, 86, 203, 1216, 27265, 1061, 41431, 677, 722, 19027, 44, 7914, 312, 33919, 1778, 19, 203, 2272, 6550, 2280, 9830, 793, 432, 322, 4865, 447, 335, 741, 4253, 32, 203, 1318, 19120, 225, 35, 40, 106, 35, 40, 323, 500, 1464, 328, 598, 5501, 32, 1645, 884, 645, 546, 583, 11653, 44, 203, 525, 555, 37154, 32, 38729, 1855, 32, 508, 33, 1055, 32, 1317, 49, 5473, 47, 42, 42, 37, 38, 32, 34, 203, 23858, 1531, 48003, 35286, 4593, 24319, 31, 3910, 38753, 31, 10334, 399, 6228, 225, 37, 32, 34, 203, 1061, 625, 318, 1177, 32, 203, 8331, 30249, 29, 53, 372, 4323, 19, 203, 41135, 203, 28607, 6112, 90, 550, 86, 32, 11846, 26, 34, 27, 203, 28607, 6112, 90, 550, 86, 32, 29006, 26, 34, 32, 40, 27, 203, 1644, 30, 2384, 280, 707, 41431, 90, 550, 86, 32, 371, 81, 3229, 346, 203, 1275, 280, 4361, 32, 1676, 463, 315, 5501, 32, 1645, 683, 203, 1270, 44, 284, 2218, 2933, 44, 291, 436, 337, 81, 106, 328, 2155, 26, 410, 26, 1275, 32, 891, 77, 34, 79, 517, 1861, 8531, 324, 436, 337, 81, 107, 328, 2155, 26, 410, 26, 1275, 32, 891, 77, 35, 79, 517, 2384, 8531, 400, 2080, 280, 3177, 400, 436, 816, 328, 2155, 26, 1644, 711, 528, 436, 533, 328, 2155, 26, 2273, 711, 715, 6573, 280, 4791, 32, 371, 7790, 7728, 97, 81, 106, 319, 1861, 27, 474, 533, 30, 308, 97, 81, 107, 319, 2384, 27, 474, 816, 490, 715, 540, 30, 485, 30, 323, 280, 629, 26, 7790, 77, 34, 5727, 629, 26, 7790, 77, 35, 5727, 629, 26, 7790, 77, 36, 1130, 715, 415, 540, 556, 485, 556, 323, 44, 1014, 2080, 280, 2933, 715, 707, 41431, 90, 550, 86, 32, 470, 81, 7790, 26, 106, 30, 533, 30, 540, 30, 485, 30, 323, 27, 400, 415, 2080, 44, 528, 707, 41431, 90, 550, 86, 32, 2245, 346, 528, 1133, 32, 7840, 26, 34, 32, 39, 27, 203, 7343, 21300, 19497, 44, 284, 707, 41431, 90, 550, 86, 32, 1719, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 3, 3, 3, 3, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 0, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 3, 0, 4, 3, 3, 2, 2, 5, 5, 5, 5, 4, 5, 5, 5, 4, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 1, 1, 1, 1, 3, 3, 3, 3, 5, 6, 6, 5, 5, 7, 9, 9, 13, 12, 13, 11, 12, 11, 10, 10, 9, 5, 5, 7, 8, 8, 7, 7, 9, 11, 11, 15, 14, 15, 13, 14, 13, 12, 12, 11, 7, 7, 10, 10, 8, 8, 9, 9, 9, 11, 12, 11, 9, 9, 11, 11, 11, 13, 14, 13, 11, 11, 14, 14, 16, 17, 17, 16, 21, 21, 21, 20, 20, 19, 18, 18, 17, 17, 21, 21, 21, 20, 20, 19, 18, 18, 17, 12, 12, 15, 15, 15, 15, 14, 14, 17, 19, 18, 19, 18, 15, 17, 19, 18, 19, 18, 15, 17, 19, 18, 19, 18, 12, 12, 13, 15, 15, 14, 14, 13, 13, 13, 16, 16, 12, 12, 16, 16, 16, 16, 15, 16, 16, 16, 15, 16, 15, 15, 15, 15, 15, 15, 15, 15, 15, 8, 8, 9, 9, 9, 9, 14, 14, 14, 14, 13, 14, 13, 10, 10, 13, 14, 13, 14, 14, 14, 13, 1, 2, 2, 3, 2, 2, 2, 7, 7, 7, 7, 6, 7, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 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, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 3, 3, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 5, 5, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 9, 3, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 26313, 30, 1133, 30, 16539, 203, 1070, 37640, 1188, 319, 203, 1786, 81, 9184, 47, 28042, 5264, 26, 19608, 6283, 829, 203, 1786, 81, 9184, 32, 2539, 26, 13961, 3624, 81, 15205, 490, 203, 1786, 81, 9184, 32, 12220, 26, 35, 27, 203, 625, 280, 2145, 81, 9184, 32, 371, 9184, 426, 8532, 35, 79, 203, 6572, 280, 313, 85, 37, 34, 43, 35, 88, 39, 88, 31, 41, 87, 36, 88, 31, 38, 43, 34, 42, 31, 84, 40, 36, 42, 31, 35, 42, 36, 37, 35, 38896, 39, 34, 37, 38, 20, 203, 339, 20230, 81, 2122, 26, 2145, 81, 9184, 30, 313, 12547, 17293, 392, 4511, 2719, 81, 314, 280, 11171, 30, 4511, 2719, 81, 4820, 280, 428, 11171, 30, 42192, 81, 3624, 81, 7420, 2505, 4511, 23300, 280, 428, 42192, 81, 3624, 81, 21448, 2505, 27384, 829, 203, 1216, 313, 21054, 436, 3387, 544, 19608, 6283, 3826, 904, 86, 20, 904, 2601, 203, 1580, 81, 9184, 30, 2043, 81, 1338, 280, 2145, 81, 9184, 32, 7494, 346, 203, 1216, 313, 24898, 3387, 645, 3003, 2043, 81, 1338, 203, 809, 280, 26313, 32, 4631, 346, 203, 589, 2575, 3426, 26, 9184, 711, 284, 1596, 44, 291, 623, 5440, 44, 324, 13363, 32, 2714, 5528, 100, 78, 96, 19016, 372, 39190, 32, 428, 35, 79, 1477, 23113, 30, 428, 36, 79, 4719, 5327, 100, 78, 96, 78, 100, 78, 96, 657, 291, 2218, 2933, 44, 324, 706, 280, 13363, 32, 12084, 26, 35, 27, 324, 415, 2069, 26, 605, 27, 610, 225, 34, 44, 1626, 324, 415, 706, 610, 313, 35, 563, 400, 623, 5440, 44, 528, 13363, 32, 2714, 440, 15624, 9934, 39190, 78, 100, 78, 96, 657, 400, 2322, 32, 2946, 440, 41335, 7925, 429, 85, 5841, 41335, 32, 2957, 1477, 9934, 81, 31242, 657, 324, 4348, 706, 610, 313, 36, 563, 400, 623, 5440, 44, 528, 13363, 32, 2714, 440, 41139, 9934, 39190, 78, 100, 78, 96, 657, 400, 2322, 32, 2946, 440, 41335, 7925, 429, 85, 5841, 41335, 32, 2957, 4719, 9934, 81, 31242, 657, 324, 813, 44, 400, 1459, 313, 15628, 18025, 101, 12032, 904, 706, 400, 623, 5440, 44, 528, 1688, 280, 313, 311, 268, 5343, 8593, 18025, 101, 10854, 100, 78, 96, 20, 904, 308, 605, 21713, 528, 13363, 32, 2714, 26, 2024, 27, 284, 2940, 45338, 44, 291, 1459, 313, 9294, 3363, 1048, 20, 203, 589, 39494, 26, 9184, 711, 284, 2218, 2933, 44, 291, 1133, 32, 7840, 26, 39, 27, 291, 337, 280, 16539, 32, 1553, 81, 2024, 14141, 41335, 7925, 392, 4825, 85, 392, 4288, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 2998, 4064, 761, 505, 5594, 34, 614, 313, 41335, 32, 2957, 2113, 324, 313, 1517, 6890, 291, 534, 1729, 280, 2149, 291, 436, 8710, 328, 428, 106, 32, 2998, 346, 436, 816, 328, 337, 32, 2998, 5528, 96, 657, 2786, 324, 415, 2069, 26, 10031, 27, 848, 225, 35, 44, 400, 534, 1729, 77, 10031, 77, 34, 3212, 280, 8710, 77, 35, 79, 291, 17295, 280, 534, 1729, 32, 371, 440, 10069, 81, 31242 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 2, 4, 4, 4, 4, 5, 4, 0, 4, 4, 4, 3, 4, 3, 4, 5, 5, 5, 4, 0, 4, 4, 4, 3, 4, 3, 4, 3, 0, 3, 2, 2, 6, 6, 5, 6, 6, 6, 5, 4, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 5, 5, 5, 3, 3, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 5, 5, 5, 6, 6, 6, 6, 5, 3, 3, 4, 4, 5, 6, 6, 6, 6, 5, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 0, 4, 4, 4, 3, 3, 4, 4, 2, 2, 5, 5, 4, 5, 4, 0, 1, 1, 3, 3, 3, 3, 1, 2, 2, 0, 3, 2, 2, 4, 5, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 5, 5, 5, 9, 10, 9, 12, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 11, 4, 4, 5, 5, 5, 5, 8, 8, 10, 11, 10, 11, 10, 6, 6, 7, 10, 11, 10, 8, 8, 9, 7, 7, 6, 6, 7, 8, 8, 10, 10, 7, 7, 9, 9, 9, 9, 13, 14, 13, 15, 15, 15, 16, 16, 16, 16, 15, 8, 8, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 7, 7, 8, 9, 9, 11, 11, 8, 8, 10, 10, 10, 10, 14, 15, 14, 16, 16, 16, 17, 17, 17, 17, 16, 9, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 7, 7, 8, 8, 8, 10, 13, 13, 13, 13, 11, 11, 9, 9, 10, 10, 10, 10, 13, 13, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 16, 14, 14, 16, 15, 11, 11, 14, 15, 14, 15, 14, 3, 3, 4, 4, 4, 4, 6, 8, 8, 8, 8, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3, 3, 3, 7, 8, 7, 8, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 11, 11, 11, 9, 11, 11, 9, 9, 12, 13, 11, 12, 11, 16, 15, 16, 14, 15, 14, 15, 15, 14, 13, 12, 11, 13, 13, 13, 13, 9, 9, 11, 11, 4, 4, 7, 6, 6, 4, 4, 5, 5, 5, 9, 8, 9, 8, 6, 7, 7, 7, 9, 10, 9, 12, 11, 6, 5, 5, 7, 10, 11, 10, 8, 8, 9, 7, 7, 7, 12, 11, 13, 12, 13, 12, 10, 10, 11, 12, 11, 4, 4, 6, 6, 9, 8, 9, 8, 10, 10, 10 ]

[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 5, 1, 1, 1, 0, 0, 7, 7, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 9, 9, 2, 1, 1, 1, 1, 2, 1, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 10, 10, 1, 1, 1, 1, 10, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 2, 0, 13, 13, 2, 1, 2, 13, 13, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 2, 1, 3, 2, 2, 2, 0, 2, 1, 0, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1 ]

[ 465, 6733, 4738, 32, 17867, 203, 823, 358, 874, 4863, 1394, 26, 874, 4738, 32, 17867, 32, 1243, 711, 284, 617, 6460, 280, 301, 291, 330, 452, 950, 5053, 3648, 950, 2933, 835, 291, 330, 525, 81, 1517, 81, 687, 950, 5053, 3648, 950, 2933, 835, 291, 330, 21782, 950, 5053, 3648, 950, 2933, 835, 284, 320, 284, 617, 4890, 81, 1110, 280, 301, 291, 330, 452, 950, 5053, 678, 950, 330, 452, 370, 330, 681, 950, 330, 466, 8885, 291, 330, 1436, 81, 314, 950, 5053, 678, 950, 330, 1436, 606, 370, 330, 681, 950, 330, 466, 8885, 291, 330, 525, 81, 1517, 81, 687, 950, 5053, 678, 950, 330, 525, 8693, 370, 330, 681, 950, 330, 410, 8885, 291, 330, 21782, 950, 5053, 678, 950, 330, 21782, 370, 330, 681, 950, 330, 2420, 8885, 291, 330, 731, 81, 1436, 950, 5053, 678, 950, 330, 21833, 370, 330, 681, 950, 330, 466, 8885, 284, 320, 284, 665, 1156, 1664, 3207, 291, 630, 30, 291, 1115, 5321, 284, 8063, 291, 2599, 26, 28330, 4863, 1394, 30, 630, 14585, 1664, 3207, 326, 5321, 27, 291, 630, 32, 452, 280, 10306, 710, 452, 785, 291, 630, 32, 1436, 81, 314, 280, 10306, 32, 371, 463, 1436, 81, 314, 370, 1665, 27, 291, 630, 32, 525, 81, 1517, 81, 687, 280, 10306, 710, 525, 81, 1517, 81, 687, 785, 291, 630, 32, 21782, 280, 10306, 710, 21782, 785, 291, 630, 32, 731, 81, 1436, 280, 10306, 32, 371, 463, 731, 81, 1436, 370, 1665, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 3, 2, 3, 0, 1, 1, 2, 2, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 5, 4, 4, 5, 5, 8, 8, 6, 10, 10, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 6, 10, 10, 8, 7, 5, 5, 8, 8, 6, 10, 10, 8, 7, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 8, 8, 6, 10, 10, 8, 10, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 8, 8, 8, 8, 6, 10, 10, 8, 10, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 6, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 8, 8, 8, 8, 6, 10, 10, 8, 10, 10, 7, 10, 10, 8, 10, 10, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 9, 7, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 7, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 2, 2, 2, 1, 2, 5, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 7, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 9, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1359, 203, 589, 2575, 2262, 284, 415, 5237, 32, 1648, 81, 1338, 77, 34, 79, 333, 225, 37, 556, 5237, 32, 1648, 81, 1338, 77, 35, 79, 333, 225, 39, 44, 291, 1459, 440, 8312, 225, 37, 32, 39, 556, 21962, 438, 2129, 372, 1420, 322, 3619, 70, 3231, 2145, 657, 291, 442, 284, 645, 46032, 1188, 4527, 284, 415, 4527, 32, 1809, 81, 2285, 440, 19681, 101, 657, 438, 1665, 44, 291, 1459, 440, 1318, 25103, 101, 2297, 438, 2129, 372, 1420, 322, 3619, 70, 3231, 2145, 657, 291, 442, 284, 645, 2145, 12283, 32, 3604, 2059, 1188, 1420, 2059, 284, 436, 1638, 328, 5237, 32, 6118, 44, 291, 415, 1638, 610, 5237, 32, 6118, 77, 34, 79, 556, 1638, 610, 34863, 324, 4036, 291, 4348, 1638, 32, 15990, 440, 751, 347, 711, 324, 1596, 44, 400, 1359, 32, 1786, 32, 47329, 280, 629, 26, 626, 6448, 35, 19572, 324, 2940, 10091, 44, 400, 1459, 440, 3817, 1245, 3193, 657, 400, 442, 291, 4348, 1638, 32, 15990, 440, 887, 17680, 347, 711, 324, 1596, 44, 400, 1929, 280, 629, 26, 626, 6448, 35, 19572, 400, 415, 1929, 2511, 225, 35, 44, 528, 1459, 440, 887, 17680, 2298, 526, 10761, 2784, 225, 35, 657, 528, 442, 400, 1359, 32, 1786, 32, 887, 17680, 280, 1929, 324, 2940, 10091, 44, 400, 1459, 440, 3817, 1847, 4362, 2385, 657, 400, 442, 291, 4348, 17917, 328, 1638, 44, 324, 1359, 32, 1786, 32, 639, 2185, 3437, 280, 1638, 291, 813, 44, 324, 1459, 4064, 1427, 505, 77, 505, 1427, 9818, 1055, 440, 6772, 44, 10280, 997, 7201, 1157, 324, 442, 284, 1420, 2059, 346, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 3, 7, 8, 8, 8, 6, 7, 6, 5, 5, 6, 4, 4, 7, 8, 8, 8, 6, 7, 6, 5, 5, 6, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 2, 2, 3, 3, 3, 2, 2, 3, 6, 7, 7, 7, 6, 8, 8, 8, 4, 4, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 2, 2, 3, 5, 4, 5, 5, 3, 3, 5, 2, 2, 3, 3, 3, 4, 5, 3, 3, 3, 5, 7, 7, 9, 10, 8, 9, 8, 6, 6, 7, 7, 5, 5, 5, 5, 6, 8, 9, 8, 10, 10, 8, 6, 6, 8, 8, 8, 13, 14, 12, 13, 11, 11, 13, 15, 14, 17, 15, 8, 8, 9, 9, 9, 9, 13, 15, 15, 15, 15, 10, 10, 5, 5, 6, 8, 9, 8, 10, 10, 10, 8, 6, 6, 8, 8, 8, 11, 11, 13, 15, 14, 17, 15, 9, 9, 10, 11, 11, 12, 10, 10, 10, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 11, 11, 9, 9, 13, 14, 12, 13, 13, 11, 11, 8, 8, 9, 9, 9, 9, 13, 15, 15, 15, 15, 15, 10, 10, 5, 5, 6, 7, 7, 6, 6, 6, 11, 12, 10, 11, 11, 11, 9, 9, 5, 5, 6, 6, 6, 10, 14, 14, 13, 17, 17, 17, 17, 16, 18, 18, 18, 13, 13, 12, 7, 7, 2, 2, 5, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 1, 1, 1, 4, 4, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 3, 0, 1, 2, 2, 3, 3, 0, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 3, 3, 3, 3, 1, 1, 1, 1, 2, 3, 3, 0, 0, 5, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 6, 1, 1, 6, 6, 6, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 7, 7, 7, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 4, 4, 0, 1, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 3219, 203, 465, 15396, 203, 465, 3619, 4746, 930, 366, 203, 1070, 15396, 1188, 456, 268, 203, 589, 12460, 2262, 284, 3649, 9257, 284, 9257, 280, 456, 268, 32, 23037, 346, 284, 9257, 32, 1689, 26, 103, 20, 12257, 1642, 242, 20693, 15874, 36019, 392, 1044, 20, 12257, 1642, 241, 20693, 15874, 36019, 657, 284, 9257, 32, 1689, 26, 103, 20, 12257, 13071, 12257, 1642, 242, 9411, 231, 15874, 392, 1044, 20, 12257, 13071, 12257, 1642, 241, 9411, 231, 15874, 657, 284, 9257, 32, 1689, 26, 103, 20, 12257, 1642, 121, 13892, 21049, 13071, 20451, 35408, 392, 1044, 20, 12257, 1642, 121, 13892, 21049, 13071, 18642, 20451, 35408, 657, 284, 9257, 32, 1689, 26, 103, 20, 12257, 18642, 21049, 18642, 15874, 1642, 120, 13892, 12257, 17182, 18642, 35408, 392, 1044, 20, 12257, 18642, 21049, 21049, 18642, 15874, 1642, 120, 13892, 12257, 17182, 18642, 35408, 657, 284, 9257, 32, 1689, 26, 103, 20, 24500, 9411, 247, 17182, 28655, 15776, 20451, 35408, 392, 1044, 20, 24500, 9411, 247, 17182, 28655, 15776, 657, 284, 9257, 32, 1689, 26, 103, 20, 20413, 13071, 18642, 18481, 21049, 1642, 120, 21049, 19179, 13071, 13071, 1642, 121, 392, 1044, 20, 20413, 13071, 18642, 18481, 21049, 35408, 1642, 120, 21049, 19179, 13071, 13071, 1642, 121, 657, 284, 9257, 32, 1689, 26, 103, 20, 20413, 13071, 18642, 18481, 21049, 1642, 120, 13892, 12257, 13071, 9411, 237, 392, 1044, 20, 20413, 13071, 18642, 18481, 21049, 35408, 1642, 120, 13892, 12257, 13071, 9411, 237, 657, 284, 9257, 32, 1689, 26, 103, 20, 20413, 13071, 18642, 18481, 21049, 1642, 120, 9411, 122, 10852, 8706, 392, 1044, 20, 20413, 13071, 18642, 18481, 21049, 35408, 1642, 120, 9411, 122, 10852, 8706, 657, 284, 9257, 32, 1689, 26, 103, 20, 20413, 13071, 18642, 18481, 21049, 35408, 12257, 9411, 117, 392, 1044, 20, 20413, 13071, 18642, 18481, 21049, 12257, 9411, 117, 657, 284, 9257, 32, 1689, 26, 103, 20, 20413, 13071, 18642, 18481, 21049, 35408, 13728, 21049, 16163, 20451, 10852, 392, 1044, 20, 20413, 13071, 18642, 18481, 13728, 21049, 16163, 20451, 10852, 657, 284, 9257, 32, 1689, 26, 103, 20, 20413, 13071, 18642, 18481, 26, 21049, 35408, 6505, 15874, 9411, 122, 26, 21049, 35408, 6505, 392, 1044, 20, 20413, 13071, 18642, 18481, 21049, 35408, 15874, 9411, 122, 657, 284, 9257, 32, 1689, 26, 103, 20, 4633, 229, 20413, 13071, 13943, 24842, 1642, 246, 35408, 392, 1044, 20, 4633, 229, 20413, 13071, 13943, 24842, 657, 284, 9257, 32, 1689, 26, 103, 20, 13943, 16603, 17182, 28655, 15776, 20451, 35408, 392, 1044, 20, 13943, 16603, 17182, 28655, 15776, 657, 284, 9257, 32, 1689, 26, 103, 20, 1642, 238, 11791, 1642, 258, 19477, 35408, 24743, 19179, 13071, 35408, 392, 1044, 20, 1642, 238, 11791, 1642, 258, 21049, 35408, 24743, 19179, 13071, 35408, 657, 284, 9257, 32, 1689, 26, 103, 20, 1642, 258, 13892, 13943, 77, 12257, 20413, 79, 35408, 29359, 13892, 12136, 49, 10852, 392, 1044, 20, 1642, 258, 13892, 13943, 12257, 35408, 29359, 13892, 10852, 657, 284, 9257, 32, 1689, 26, 103, 20, 1642, 259, 9411, 257, 20451, 10852, 21049, 35408, 392, 1044, 20, 1642, 259, 9411, 257, 20451 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 1, 1, 3, 2, 2, 4, 4, 7, 6, 7, 6, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 2, 2, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 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, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 6, 5, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 6, 6, 6, 6, 6, 5, 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, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 2, 4, 4, 0, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1070, 8527, 32, 12023, 1188, 5605, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 39808, 94, 32, 12301, 32, 2300, 1188, 9128, 1658, 13976, 203, 1070, 4345, 864, 704, 32, 2300, 1188, 9366, 4191, 203, 1070, 4549, 1188, 12831, 203, 823, 12831, 4191, 26, 4191, 1658, 13976, 30, 5605, 32, 1243, 4191, 711, 284, 3233, 81, 4151, 280, 2726, 496, 505, 699, 370, 330, 7615, 81, 605, 683, 284, 1149, 81, 2751, 280, 308, 528, 330, 496, 370, 330, 30939, 370, 330, 48982, 370, 27, 284, 1149, 81, 2029, 280, 2726, 496, 505, 297, 81, 15989, 370, 27, 284, 3829, 280, 2726, 496, 370, 330, 9701, 370, 330, 678, 370, 330, 48982, 370, 330, 30939, 25, 829, 203, 2300, 32, 2851, 32, 3317, 26, 4290, 30, 12831, 4191, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 2, 2, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 5, 2, 2, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 3, 3, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 39187, 986, 81, 30162, 81, 9910, 307, 470, 32, 2282, 32, 1439, 81, 24715, 32, 669, 81, 3142, 1188, 2222, 2291, 1761, 6861, 203, 22471, 81, 19666, 81, 21770, 280, 428, 38, 37, 30, 225, 40, 35, 79, 203, 823, 28864, 26, 1103, 2291, 1761, 6861, 711, 284, 665, 617, 371, 81, 3968, 26, 784, 30, 2869, 81, 9664, 711, 291, 442, 2869, 81, 9664, 32, 371, 440, 3968, 392, 301, 324, 313, 4151, 563, 428, 400, 3447, 426, 563, 313, 965, 392, 313, 681, 563, 313, 800, 392, 313, 2310, 563, 313, 965, 372, 5822, 7079, 645, 3918, 400, 301, 528, 313, 426, 563, 313, 93, 2425, 81, 6416, 81, 314, 392, 313, 681, 563, 313, 5823, 392, 528, 313, 2310, 563, 313, 4457, 1202, 645, 831, 2425, 81, 6416, 1858, 3612, 324, 2505, 324, 313, 36712, 563, 3037, 93, 2425, 81, 6416, 81, 314, 1446, 291, 1790, 284, 665, 617, 371, 81, 890, 81, 3142, 26, 784, 711, 291, 4916, 81, 1274, 280, 630, 32, 1199, 81, 2859, 32, 11278, 32, 371, 440, 93, 2425, 81, 6416, 657, 291, 6442, 388, 520, 1571, 81, 1274, 280, 630, 32, 1199, 81, 2859, 32, 11278, 32, 371, 440, 93, 2425, 81, 3351, 388, 520, 1571, 657, 291, 415, 4916, 81, 1274, 438, 1665, 556, 6442, 388, 520, 1571, 81, 1274, 438, 1665, 44, 324, 3636, 3268, 440, 10075, 7171, 831, 2425, 4916, 10343, 372, 2307, 657, 291, 436, 3082, 81, 643, 328, 630, 32, 1199, 81, 2848, 78, 324, 638, 1217, 26, 6416, 81, 1274, 30, 6442, 388, 520, 1571, 81, 1274, 5421, 324, 638, 2029, 26, 3351, 388, 520, 1571, 81, 1274, 32, 98, 32, 6005, 779, 379, 6416, 81, 1274, 32, 98, 32, 6005, 779, 5421, 324, 638, 2029, 26, 3351, 388, 520, 1571, 81, 1274, 32, 98, 32, 2731, 779, 32, 266, 5908, 22471, 81, 19666, 81, 21770, 490, 78, 291, 638, 464, 2262, 324, 2698, 280, 3082, 81, 643, 1114, 302, 2665, 346, 324, 6761, 3447, 93, 2425, 81, 6416, 81, 314, 563, 2698, 1365, 6005, 779, 34866, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 28864, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 3, 0, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 8, 8, 7, 8, 7, 9, 9, 7, 8, 8, 11, 11, 9, 10, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 10, 10, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 8, 8, 11, 11, 9, 12, 12, 12, 12, 12, 12, 12, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 10, 11, 11, 11, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 6, 6, 10, 11, 11, 11, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 8, 7, 7, 6, 6, 8, 8, 8, 8, 8, 7, 7, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 6, 5, 5, 14, 15, 15, 15, 14, 14, 13, 14, 13, 14, 14, 14, 13, 13, 14, 14, 14, 14, 14, 13, 12, 11, 12, 11, 15, 15, 15, 15, 15, 15, 14, 15, 13, 14, 14, 12, 15, 15, 15, 14, 15, 13, 14, 14, 11, 10, 9, 10, 9, 14, 14, 14, 14, 14, 14, 13, 14, 12, 13, 13, 11, 12, 12, 12, 12, 12, 12, 12, 11, 8, 8, 7, 8, 7, 5, 5, 8, 8, 11, 11, 10, 11, 11, 10, 6, 6, 8, 12, 12, 12, 12, 12, 12, 12, 10, 11, 13, 13, 13, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 1, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 3, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 3, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 0, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 5, 5, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 10581, 225, 36, 34, 35, 41, 30, 506, 9635, 1507, 103, 8159, 2764, 31202, 30, 6355, 32, 203, 23858, 1531, 322, 3940, 1177, 30, 3036, 225, 36, 32, 34, 308, 1382, 313, 3786, 724, 203, 9619, 1631, 646, 793, 458, 803, 2940, 328, 4953, 623, 322, 1177, 32, 203, 4282, 1631, 4224, 312, 1933, 432, 322, 1177, 821, 203, 525, 555, 1499, 32, 2104, 32, 1088, 33, 4188, 33, 4092, 31, 36, 32, 34, 203, 23093, 2129, 810, 4556, 4927, 556, 5119, 372, 328, 4127, 30, 2932, 203, 17935, 1531, 322, 1177, 438, 2728, 544, 600, 313, 1099, 2756, 20, 5120, 30, 203, 26510, 3901, 1878, 5181, 2241, 2964, 4473, 30, 3154, 3915, 556, 4500, 32, 203, 7488, 322, 1177, 436, 322, 2818, 2898, 5132, 4227, 461, 203, 28219, 1531, 322, 1177, 32, 203, 9592, 203, 465, 27374, 203, 1070, 13625, 1188, 33953, 203, 465, 34571, 344, 271, 2852, 32, 36301, 81, 7439, 81, 10500, 619, 894, 1732, 81, 7439, 81, 10500, 203, 465, 11450, 32, 2755, 619, 13249, 203, 1070, 11450, 32, 2755, 32, 1216, 81, 2755, 1188, 1459, 81, 2811, 30, 1459, 81, 731, 203, 1070, 34571, 344, 271, 2852, 32, 6844, 9452, 81, 2304, 1188, 1487, 81, 363, 81, 1366, 81, 2416, 81, 1793, 81, 3926, 30, 766, 203, 371, 81, 4295, 81, 1070, 81, 3926, 30, 1974, 81, 5478, 81, 3931, 81, 1267, 761, 203, 1070, 11450, 32, 2755, 1188, 894, 1732, 81, 2755, 203, 589, 5742, 81, 1731, 1353, 81, 13449, 26, 2997, 81, 668, 30, 706, 81, 6319, 30, 12889, 81, 1517, 30, 2664, 81, 668, 711, 284, 13179, 81, 668, 280, 1605, 284, 1688, 81, 99, 280, 1665, 284, 436, 2664, 81, 426, 328, 2664, 81, 668, 44, 291, 1760, 81, 1647, 280, 894, 1732, 81, 7439, 81, 10500, 32, 1831, 291, 2181, 81, 2665, 280, 33953, 2009, 440, 2997, 81, 668, 392, 3111, 81, 668, 471, 6619, 2884, 605, 81, 6319, 392, 706, 81, 6319, 471, 6619, 2884, 2946, 81, 426, 392, 2664, 81, 426, 471, 6619, 2884, 4124, 81, 13449, 392, 2933, 471, 6619, 2884, 2024, 81, 99, 392, 1688, 81, 99, 471, 6619, 8834, 4456, 2164, 30, 13179, 81, 668, 30, 1688, 81, 99, 280, 1487, 81, 363, 81, 1366, 81, 2416, 81, 1793, 81, 3926, 26, 1977, 81, 1647, 30, 2181, 81, 2665, 30, 5899, 2264, 13179, 81, 668, 30, 1688, 81, 99, 27, 284, 1459, 81, 2811, 440, 2416, 44, 301, 34, 16054, 1643, 26, 2416, 490, 284, 436, 3992, 328, 13179, 81, 668, 44, 291, 3992, 32, 2524, 346, 284, 1056, 81, 668, 280, 622, 81, 4295, 81, 1070, 81, 3926, 26, 2024, 81, 99, 27, 284, 2664, 81, 1517, 81, 668, 280, 1605, 284, 2664, 81, 1267, 761, 81, 668, 280, 1605, 284, 3111, 81, 35558, 81, 668, 280, 1605, 284, 12889, 81, 3931, 81, 668, 280, 1605, 284, 436, 1056, 328, 1056, 81, 668, 44, 291, 3111, 81, 1517, 81, 668, 280, 1056, 77, 34, 79, 291, 8556, 81, 1267, 761, 81, 668, 280, 1056, 77, 35, 79, 291, 2664, 81, 426, 280, 1056, 77 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 7, 8, 4, 4, 7, 7, 6, 6, 8, 10, 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, 9, 9, 12, 12, 12, 12, 10, 10, 9, 9, 12, 12, 12, 12, 10, 11, 11, 10, 9, 9, 4, 4, 7, 7, 8, 8, 7, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8, 2, 2, 5, 5, 5, 9, 9, 9, 9, 9, 8, 7, 8, 7, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 7, 8, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 7, 8, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 7, 8, 7, 4, 4, 7, 7, 6, 6, 7 ]

[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 4, 4, 0, 2, 1, 1, 0, 5, 5, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 1, 2, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 8, 8, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 8, 8, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 5, 5, 0, 0, 0, 0, 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, 2, 7, 7, 1, 1, 1, 1, 1, 2, 9, 3, 3, 9, 1, 1, 5, 5, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 5, 5, 1, 1, 7, 7, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 10, 10, 10, 3, 3, 10, 10, 10, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2 ]

[ 465, 6436, 619, 2065, 203, 465, 18414, 32, 7295, 203, 589, 540, 874, 26, 83, 711, 284, 442, 2065, 32, 8663, 26, 2356, 32, 1036, 26, 83, 326, 36, 32, 34, 4165, 83, 32, 891, 27, 203, 589, 13316, 26, 83, 30, 537, 81, 887, 47, 34, 32, 34, 30, 537, 81, 1449, 47, 35, 32, 34, 711, 284, 310, 280, 308, 83, 429, 2065, 32, 13493, 26, 83, 490, 517, 1897, 26, 2356, 32, 404, 648, 26, 83, 429, 2065, 32, 13493, 26, 83, 2610, 284, 442, 310, 319, 308, 890, 81, 1449, 429, 537, 81, 887, 27, 474, 537, 81, 887, 203, 589, 14089, 81, 14298, 26, 83, 30, 1411, 280, 313, 6081, 2921, 392, 3104, 47, 43, 30, 2926, 1057, 1327, 7831, 284, 415, 1411, 610, 313, 19351, 563, 291, 4376, 3718, 280, 2065, 32, 5783, 26, 1322, 4165, 1322, 291, 442, 18414, 32, 7295, 32, 19351, 6081, 2921, 26, 83, 30, 4376, 3718, 30, 2926, 347, 1327, 657, 3701, 4348, 1411, 610, 313, 6081, 2921, 563, 291, 4376, 3718, 280, 2065, 32, 5783, 26, 1322, 4165, 1322, 291, 442, 2065, 32, 6081, 2921, 26, 83, 30, 4376, 3718, 30, 2926, 347, 1327, 657, 10065, 813, 44, 291, 9789, 280, 2065, 32, 9121, 26, 1322, 33, 36, 27, 291, 415, 2926, 610, 330, 2620, 950, 324, 9789, 10439, 225, 36, 291, 540, 280, 2065, 32, 2951, 26, 83, 32, 3229, 77, 34, 79, 474, 225, 36, 28, 6126, 27, 291, 540, 2867, 6126, 79, 280, 312, 77, 34, 79, 291, 540, 77, 6126, 5979, 6126, 79, 280, 312, 291, 540, 6448, 6126, 10056, 280, 312, 6448, 35, 79, 291, 309, 280, 2065, 32, 33438, 1036, 26, 100, 30, 9710, 47, 1808, 27, 291, 309, 77, 1322, 10056, 280, 309, 77, 1322, 10056, 429, 309, 20129, 1322, 79, 291, 963, 280, 309, 77, 1322, 31, 35, 10056, 33, 1322, 291, 415, 2926, 610, 330, 8786, 950, 324, 415, 963, 32, 3229, 77, 34, 79, 863, 312, 32, 3229, 77, 34, 2786, 400, 963, 280, 308, 541, 20129, 35, 30, 44878, 474, 963, 77, 35, 19670, 2417, 1130, 517, 225, 36, 324, 442, 963, 291, 4348, 2926, 610, 330, 1327, 950, 324, 442, 963, 77, 6126, 5979, 6126, 79, 291, 813, 44, 23688, 442, 963, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 2, 2, 0, 1, 1, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 9, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 7, 8, 5, 0, 1, 1, 2, 3, 2, 2, 4, 4, 3, 4, 4, 4, 2, 2, 4, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 8, 7, 7, 9, 10, 9, 10, 9, 5, 5, 7, 10, 9, 10, 10, 9, 11, 10, 10, 12, 13, 12, 13, 12, 2, 2, 3, 5, 5, 8, 8, 8, 7, 7, 8, 8, 6, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 5, 5, 5, 2, 3, 4, 2, 2, 3, 5, 5, 1, 1, 3, 4, 4, 6, 6, 3, 3, 7, 6, 6, 9, 10, 9, 10, 9, 8, 4, 4, 5, 8, 9, 7, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 8, 10, 10, 3, 3, 4, 5, 5, 7, 7, 7, 4, 4, 8, 7, 7, 10, 11, 10, 11, 10, 9, 5, 5, 6, 8, 9, 9, 8, 9, 8, 8, 9, 8, 8, 9, 11, 11, 3, 3, 4, 4, 4, 7, 7, 9, 10, 9, 11, 10, 11, 9, 5, 5, 6, 7, 7, 9, 9, 6, 6, 9, 9, 10, 5, 5, 7, 7, 9, 10, 9, 13, 12, 13, 11, 12, 11, 10, 10, 12, 11, 12, 9, 5, 5, 8, 10, 8, 7, 7, 8, 9, 8, 5, 5, 8, 10, 9, 11, 8, 7, 7, 5, 5, 8, 11, 9, 7, 7, 8, 10, 8, 5, 5, 7, 7, 9, 10, 10, 9, 10, 9, 9, 10, 11, 9, 5, 5, 8, 10, 9, 7, 7, 9, 11, 10, 8, 8, 9, 12, 9, 5, 5, 7, 7, 9, 12, 11, 12, 10, 8, 9, 5, 5, 6, 7, 7, 9, 9, 6, 6, 8, 11, 12, 10, 11, 10, 9, 9, 11, 12, 10, 11, 10, 8, 8, 11, 11, 16, 15, 18, 15, 15, 14, 14, 15, 17, 16, 15, 15, 12, 12, 13, 7, 7, 8, 6, 6, 7, 8, 8, 10, 10, 7, 7, 9, 10, 12, 11, 13, 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 ]

[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 3, 3, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 1, 1, 2, 2, 5, 2, 2, 2, 7, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 3, 3, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 2, 0, 0, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 3, 3, 1, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 2, 0, 0, 5, 5, 5, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 9, 1, 1, 1, 2, 9, 9, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 3, 3, 1, 9, 9, 4, 1, 1, 1, 2, 4, 4, 0, 1, 0, 2, 1, 1, 9, 9, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 540, 3513, 81, 2122, 32, 1160, 32, 687, 1188, 4402, 620, 203, 1070, 3312, 32, 8774, 32, 18986, 81, 1439, 1188, 3772, 7233, 203, 823, 3456, 66, 1295, 750, 2551, 1006, 26, 1761, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 2140, 66, 1295, 750, 2551, 1006, 30, 630, 547, 23741, 26, 1793, 81, 32971, 81, 7787, 47, 1815, 27, 291, 630, 32, 24219, 81, 1367, 280, 630, 32, 605, 81, 7101, 32, 1297, 81, 4603, 81, 24219, 81, 1367, 26, 1935, 1057, 858, 50, 2763, 32, 508, 683, 291, 10017, 81, 363, 81, 21750, 280, 428, 324, 2726, 2232, 81, 4594, 81, 687, 370, 330, 2232, 81, 10004, 81, 687, 1425, 324, 2726, 5064, 81, 3521, 370, 330, 927, 21144, 81, 927, 5687, 527, 1425, 324, 2726, 14378, 81, 3521, 370, 330, 9782, 81, 10963, 110, 1793, 81, 12187, 81, 1762, 683, 291, 1481, 291, 7000, 21094, 280, 630, 32, 605, 81, 7101, 32, 1297, 81, 4603, 81, 4594, 21094, 81, 6446, 346, 291, 436, 7000, 81, 687, 81, 853, 30, 617, 328, 10017, 81, 363, 81, 21750, 44, 324, 7000, 81, 687, 280, 630, 32, 605, 81, 7101, 32, 1297, 81, 4603, 81, 687, 26, 400, 786, 47, 4594, 81, 687, 81, 853, 30, 400, 1340, 620, 47, 1227, 620, 32, 36831, 1016, 324, 829, 324, 630, 32, 605, 81, 7101, 32, 1297, 81, 4603, 81, 4594, 21094, 81, 4594, 26, 400, 7000, 21094, 606, 47, 4594, 21094, 32, 4594, 21094, 606, 30, 400, 7000, 21094, 2062, 47, 4594, 21094, 32, 1648, 30, 400, 1340, 606, 47, 4594, 81, 687, 32, 687, 606, 324, 829, 291, 7000, 21094, 81, 1986, 280, 630, 32, 605, 81, 7101, 32, 1297, 81, 4603, 81, 4594, 21094, 81, 1986, 26, 324, 24198, 606, 47, 784, 32, 24219, 81, 1367, 32, 24219, 606, 30, 324, 7000, 21094, 606, 47, 4594, 21094, 32, 4594, 21094, 606, 30, 324, 7000, 21094, 2062, 47, 4594, 21094, 32, 1648, 291, 829, 291, 436, 7000, 81, 1055, 30, 24565, 7592, 81, 687, 81, 2810, 27, 328, 10703, 26, 6964, 81, 363, 81, 21750, 711, 324, 7000, 280, 7000, 21094, 32, 6964, 77, 4594, 81, 1055, 79, 324, 436, 7592, 81, 853, 328, 7592, 81, 687, 81, 2810, 32, 2998, 44868, 7831, 400, 7592, 81, 687, 280, 630, 32, 605, 81, 7101, 32, 1297, 81, 4603, 81, 687, 26, 853, 47, 10004, 81, 853, 27, 400, 630, 32, 605, 81, 7101, 32, 1297, 81, 4603, 81, 4594, 21094, 81, 1986, 81, 10004, 26, 528, 7000, 21094, 1397, 606, 47, 4594, 21094, 81, 1986, 32, 4594, 21094, 1397, 606, 30, 528, 7000, 606, 47, 4594, 32, 4594, 21094, 9927, 606, 30, 528, 786, 1227, 606, 47, 10004, 81, 687, 32, 687, 606, 400, 829, 284, 665, 894, 81, 1732, 81, 2372, 10467, 81, 10004, 81, 687, 81, 19807, 26, 784, 711, 291, 298, 1295, 81, 1553, 81, 6263, 280, 301, 324, 330, 47327, 81, 605, 950, 301, 400, 630, 32, 24219, 81, 1367, 32, 1935, 44, 301, 528, 330, 88, 23771, 501, 81, 1238, 17581, 18344, 1484, 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, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 9, 9, 9, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 8, 10, 9, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 5, 7, 7, 7, 7, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 11, 12, 12, 12, 10, 11, 11, 11, 11, 11, 10, 10, 10, 11, 12, 12, 12, 12, 12, 10, 10, 10, 12, 11, 13, 13, 12, 13, 13, 10, 10, 6, 6, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 11, 11, 10, 12, 12, 11, 12, 12, 12, 9, 9, 9, 11, 11, 10, 12, 12, 11, 12, 9, 9, 9, 11, 10, 12, 12, 12, 11, 12, 12, 9, 9, 4, 4, 7, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 10, 9, 12, 11, 12, 12, 12, 10, 11, 11, 8, 8, 8, 10, 10, 9, 11, 11, 10, 11, 11, 11, 8, 8, 8, 10, 10, 9, 11, 11, 10, 11, 8, 8, 4, 4, 5, 7, 7, 6, 6, 7, 8, 8, 8, 8, 7, 5, 5, 7, 8, 8, 8, 8, 8, 7, 5, 5, 8, 8, 11, 10, 11, 9, 10, 10, 10, 9, 6, 6, 7, 8, 8, 7, 7, 10, 10, 10, 10, 9, 10, 9, 11, 7, 7, 11, 11, 10, 10, 13, 14, 14, 14, 12, 13, 13, 13, 13, 13, 12, 14, 13, 14, 14, 14, 12, 8, 8, 12, 13, 13, 13, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 13, 13, 13, 12, 14, 14, 14, 14, 13, 14, 14, 14, 14, 11, 11, 11, 13, 12, 14, 13, 14, 14, 14, 14, 11, 11, 11, 13, 13, 12, 14, 14, 14, 13, 14, 14, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 6, 6, 7, 7, 10, 10, 10, 10, 8, 9, 9, 12, 13, 13, 13, 11, 12, 10, 10, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14 ]

[ 0, 0, 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 4, 4, 3, 3, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 3, 0, 0, 2, 2, 2, 1, 1, 5, 5, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 0, 0, 2, 2, 1, 1, 1, 0, 5, 0, 0, 0, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 0, 0, 2, 2, 1, 1, 4, 4, 6, 0, 0, 1, 1, 2, 3, 3, 3, 3, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 6, 6, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 5, 5, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 0, 0, 0, 2, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1070, 15306, 1867, 32, 3378, 1188, 33897, 203, 1070, 15306, 1867, 32, 18246, 32, 11215, 81, 2989, 1188, 25189, 7145, 203, 1070, 15306, 1867, 32, 18246, 32, 2958, 1188, 23745, 8312, 7145, 203, 1070, 15306, 1867, 32, 2304, 32, 4419, 1188, 6935, 81, 13646, 203, 1793, 33897, 26, 22288, 81, 314, 347, 2763, 81, 15377, 81, 6586, 81, 22288, 392, 1477, 81, 770, 47, 6124, 81, 13646, 26, 36, 471, 10098, 81, 7568, 18750, 18779, 657, 619, 30075, 44, 284, 5573, 81, 35, 280, 23745, 8312, 7145, 26, 2795, 81, 314, 347, 6586, 81, 35, 392, 4262, 81, 27325, 47, 5962, 44, 313, 1508, 81, 35, 657, 284, 7140, 81, 35, 280, 25189, 7145, 26, 2795, 81, 314, 347, 2524, 81, 35, 392, 6595, 81, 5275, 347, 4108, 81, 7815, 81, 271, 81, 34106, 657, 284, 861, 81, 35, 280, 25189, 7145, 26, 2795, 81, 314, 347, 1508, 81, 35, 657, 284, 901, 81, 35, 280, 25189, 7145, 26, 2795, 81, 314, 347, 1870, 81, 35, 657, 284, 5573, 81, 36, 280, 23745, 8312, 7145, 26, 2795, 81, 314, 347, 6586, 81, 36, 392, 4262, 81, 27325, 47, 5962, 44, 313, 1508, 81, 36, 657, 284, 7140, 81, 36, 280, 25189, 7145, 26, 2795, 81, 314, 347, 2524, 81, 36, 392, 6595, 81, 5275, 347, 4108, 81, 7815, 81, 271, 81, 34106, 657, 284, 861, 81, 36, 280, 25189, 7145, 26, 2795, 81, 314, 347, 1508, 81, 36, 657, 284, 901, 81, 36, 280, 25189, 7145, 26, 2795, 81, 314, 347, 1870, 81, 36, 657, 284, 901, 81, 37, 280, 25189, 7145, 26, 2795, 81, 314, 347, 1870, 81, 37, 657, 284, 5573, 81, 35, 3776, 861, 81, 35, 3776, 7140, 81, 35, 284, 5573, 81, 35, 3776, 901, 81, 35, 3776, 5573, 81, 36, 3776, 428, 1508, 81, 36, 30, 901, 81, 36, 79, 3776, 7140, 81, 36, 3776, 901, 81, 37, 3776, 7140, 81, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 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, 6, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 8, 8, 7, 9, 9, 9, 9, 10, 9, 6, 8, 8, 7, 9, 9, 4, 4, 1, 1, 1, 5, 5, 4, 4, 6, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 6, 8, 8, 7, 8, 8, 8, 10, 10, 10, 10, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 6, 8, 8, 7, 8, 8, 8, 10, 10, 10, 10, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 2, 2, 6, 6, 5, 5, 6, 6, 4, 4, 5, 5, 2, 2, 10, 10, 9, 9, 10, 10, 8, 8, 9, 9, 7, 7, 9, 9, 9, 8, 8, 9, 9, 8, 6, 6, 7, 7, 5, 5, 6, 6, 4, 4, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 0, 0, 1, 1, 1, 1, 0, 0, 5, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 12643, 203, 589, 622, 871, 21722, 7167, 26, 2302, 7983, 2696, 30, 7159, 711, 203, 202, 748, 13141, 2665, 19704, 203, 202, 7318, 748, 4243, 47, 2302, 7983, 2696, 77, 7159, 997, 47199, 440, 1827, 657, 203, 202, 890, 748, 4243, 47, 2302, 7983, 2696, 77, 2302, 7983, 2696, 32, 6057, 77, 34, 3212, 203, 202, 979, 595, 328, 2155, 26, 34, 30, 1657, 26, 7318, 748, 4243, 8531, 357, 202, 748, 13141, 2665, 77, 7318, 748, 4243, 77, 91, 3212, 47, 890, 748, 4243, 77, 91, 79, 203, 202, 601, 932, 13141, 2665, 203, 589, 1487, 35427, 3698, 720, 26, 1479, 668, 30, 2302, 7983, 2696, 426, 711, 203, 202, 17777, 318, 10982, 19704, 203, 202, 979, 13063, 30, 4873, 328, 5018, 668, 32, 40957, 2262, 357, 202, 325, 13063, 610, 10557, 7983, 2696, 426, 44, 355, 202, 17777, 318, 10982, 77, 7159, 7770, 4873, 355, 202, 2302, 7983, 2696, 47, 4873, 357, 202, 1824, 44, 355, 202, 1479, 47, 4873, 355, 202, 1216, 5018, 32, 6057, 355, 202, 2592, 13141, 2665, 47, 371, 871, 21722, 7167, 26, 2302, 7983, 2696, 30, 7159, 27, 355, 202, 1216, 2623, 13141, 2665, 355, 202, 17777, 318, 1479, 47, 1479, 32, 13141, 26, 6057, 47, 2592, 13141, 2665, 27, 355, 202, 979, 1202, 30, 853, 328, 2623, 13141, 2665, 32, 40957, 2262, 603, 202, 325, 1202, 280, 347, 1827, 563, 577, 202, 17777, 318, 1479, 77, 853, 7770, 34, 355, 202, 1216, 5018, 30, 17777, 318, 1479, 355, 202, 17777, 318, 10982, 77, 7159, 7770, 17777, 318, 1479, 203, 202, 3220, 7159, 19066, 203, 202, 979, 13063, 30, 4873, 328, 39918, 10982, 32, 40957, 2262, 357, 202, 325, 13063, 6901, 2302, 7983, 2696, 426, 44, 355, 202, 3220, 7159, 32, 1689, 26, 4873, 32, 47199, 26, 34, 490, 203, 202, 3220, 7159, 95, 47, 24464, 32, 7232, 26, 3220, 7159, 27, 203, 202, 3220, 7159, 426, 47, 2302, 7983, 2696, 32, 6057, 32, 2810, 77, 34, 79, 203, 202, 17777, 318, 10982, 77, 3220, 7159, 426, 7770, 3220, 7159, 95, 203, 202, 601, 39918, 10982, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 1, 5, 5, 5, 4, 2, 2, 5, 5, 5, 4, 8, 8, 8, 7, 8, 7, 7, 6, 8, 8, 2, 2, 5, 5, 5, 4, 6, 6, 6, 5, 8, 8, 8, 7, 8, 6, 7, 6, 2, 2, 3, 3, 3, 3, 5, 6, 5, 7, 7, 8, 8, 8, 7, 3, 3, 8, 8, 8, 7, 9, 9, 9, 8, 9, 8, 6, 8, 8, 8, 7, 8, 7, 2, 2, 3, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 4, 2, 2, 3, 3, 4, 5, 3, 3, 6, 5, 6, 5, 3, 3, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 10, 10, 10, 9, 10, 9, 9, 6, 6, 9, 9, 9, 8, 9, 5, 5, 6, 6, 6, 6, 10, 9, 10, 7, 7, 8, 8, 9, 10, 7, 7, 10, 10, 10, 9, 11, 11, 11, 11, 11, 12, 12, 12, 11, 12, 11, 7, 7, 8, 8, 9, 9, 7, 7, 10, 10, 10, 9, 12, 11, 12, 11, 13, 12, 13, 13, 13, 11, 7, 7, 8, 8, 9, 10, 8, 8, 11, 11, 10, 11, 10, 8, 8, 10, 10, 11, 11, 13, 13, 10, 10, 15, 15, 15, 14, 15, 14, 14, 7, 7, 8, 8, 8, 9, 9, 9, 7, 7, 11, 11, 11, 10, 11, 10, 10, 10, 10, 2, 2, 5, 5, 4, 2, 2, 3, 3, 4, 5, 3, 3, 6, 5, 6, 5, 3, 3, 5, 5, 6, 7, 7, 7, 7, 5, 5, 5, 10, 10, 9, 10, 9, 12, 11, 12, 11, 12, 11, 2, 2, 5, 5, 5, 4, 7, 6, 7, 6, 7, 7, 6, 2, 2, 5, 5, 5, 4, 8, 8, 8, 7, 8, 6, 7, 5, 6, 5, 2, 2, 6, 6, 6, 5, 6, 6, 6, 5, 5, 5, 5, 2, 2, 3, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 2, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 4, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 3, 3, 0, 0, 0, 0, 2, 0, 0, 4, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 1, 2, 2, 3, 3, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 5, 5, 1, 2, 5, 5, 0, 0, 0, 2, 1, 5, 5, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 6, 6, 6, 3, 3, 3, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 4, 4, 3, 3, 1, 2, 3, 3, 0, 0, 2, 1, 3, 3, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 4, 4, 7, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 18971, 1188, 13313, 30, 1326, 30, 5170, 30, 34705, 203, 465, 7138, 203, 465, 5741, 203, 465, 316, 203, 1070, 298, 872, 29524, 32, 3378, 1188, 11617, 1763, 203, 1070, 298, 872, 29524, 32, 1786, 1188, 6109, 2790, 203, 22582, 81, 12182, 280, 34705, 463, 22582, 81, 12182, 370, 1156, 426, 8223, 203, 823, 6259, 518, 8354, 1074, 26, 4738, 2790, 32, 2291, 711, 284, 665, 622, 26, 784, 711, 291, 2404, 280, 4247, 291, 1980, 81, 314, 280, 4247, 291, 415, 330, 28310, 726, 31, 9052, 25, 328, 1326, 32, 5078, 461, 330, 12452, 31, 779, 25, 328, 1326, 32, 5078, 44, 324, 2404, 280, 1326, 32, 5078, 710, 28310, 726, 31, 9052, 785, 324, 1980, 81, 314, 280, 1326, 32, 5078, 710, 12452, 31, 779, 785, 291, 4348, 330, 74, 31, 28310, 726, 31, 6333, 25, 328, 1326, 32, 5078, 44, 324, 420, 81, 3423, 280, 1326, 32, 5078, 710, 74, 31, 28310, 726, 31, 6333, 785, 324, 9667, 81, 1217, 81, 14117, 280, 316, 32, 1903, 463, 3424, 1736, 11952, 3424, 27, 4310, 3424, 14796, 29548, 27, 4310, 3424, 7243, 420, 81, 3423, 27, 23688, 415, 9667, 81, 1217, 81, 14117, 461, 2069, 26, 7920, 81, 1217, 81, 14117, 32, 6332, 1157, 610, 225, 38, 44, 400, 415, 9667, 81, 1217, 81, 14117, 32, 1363, 26, 35, 27, 610, 330, 1956, 25, 461, 9667, 81, 1217, 81, 14117, 32, 1363, 26, 37, 27, 610, 330, 2386, 81, 314, 950, 528, 2404, 280, 9667, 81, 1217, 81, 14117, 32, 1363, 26, 36, 27, 528, 1980, 81, 314, 280, 9667, 81, 1217, 81, 14117, 32, 1363, 26, 38, 27, 400, 4348, 9667, 81, 1217, 81, 14117, 32, 1363, 26, 35, 27, 610, 330, 2386, 81, 314, 25, 461, 9667, 81, 1217, 81, 14117, 32, 1363, 26, 37, 27, 610, 330, 1956, 950, 528, 1980, 81, 314, 280, 9667, 81, 1217, 81, 14117, 32, 1363, 26, 36, 27, 528, 2404, 280, 9667, 81, 1217, 81, 14117, 32, 1363, 26, 38, 27, 291, 415, 646, 2404, 461, 646, 1980, 81, 314, 44, 324, 5741, 32, 8447, 463, 2023, 1980, 2404, 556, 804, 2431, 645, 322, 4826, 683, 324, 442, 13313, 26, 38, 34, 35, 27, 291, 1980, 81, 1956, 81, 2067, 280, 11617, 1763, 32, 1217, 32, 2029, 81, 1170, 26, 1956, 47, 1956, 547, 2232, 346, 291, 415, 646, 1980, 81, 1956, 81, 2067, 44, 324, 5741, 32, 8447, 440, 2386, 2404, 1300, 904, 101, 646, 2431, 20, 904, 2404, 27, 324, 442, 13313, 26, 38, 34, 35, 27, 291, 9985, 81, 1003, 280, 7138, 32, 6665, 32, 44026, 346, 291, 23192, 81, 267, 280, 1980, 81, 1956, 81, 2067, 32, 22171, 81, 267, 291, 415, 9985, 81, 1003, 848, 23192, 81, 267, 44, 324, 5741, 32, 8447, 440, 2386, 2404, 904, 101, 1401, 22054, 20, 904, 2404, 27, 324, 442, 13313, 26, 38, 34, 37, 27, 291, 415, 1980, 81, 1956, 81, 2067, 32, 2386, 81, 314, 863, 1980, 81, 314, 44, 324, 5741, 32, 8447, 440, 2386, 804, 904, 101, 645, 322, 2404, 1957, 646, 2530, 322, 1980, 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, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 9, 9, 9, 9, 9, 7, 7, 8, 9, 6, 6, 9, 9, 9, 9, 7, 7, 8, 9, 5, 5, 5, 8, 8, 10, 11, 9, 11, 11, 11, 11, 11, 6, 6, 9, 9, 8, 8, 10, 11, 9, 11, 11, 11, 11, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 6, 6, 6, 10, 10, 9, 9, 11, 12, 10, 12, 12, 12, 12, 12, 12, 12, 7, 7, 10, 10, 10, 10, 9, 9, 11, 12, 11, 13, 14, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 12, 12, 11, 7, 7, 8, 10, 10, 10, 10, 9, 9, 12, 15, 15, 15, 15, 15, 14, 15, 14, 10, 10, 11, 8, 8, 8, 10, 15, 15, 15, 15, 14, 15, 14, 15, 14, 12, 12, 14, 14, 11, 11, 15, 15, 15, 15, 14, 15, 14, 15, 14, 12, 12, 14, 14, 14, 14, 10, 10, 13, 13, 16, 16, 16, 16, 15, 16, 15, 16, 15, 11, 11, 14, 14, 13, 13, 16, 16, 16, 16, 15, 16, 15, 16, 15, 10, 10, 11, 16, 16, 16, 16, 15, 16, 15, 16, 15, 13, 13, 15, 15, 15, 15, 12, 12, 16, 16, 16, 16, 15, 16, 15, 16, 15, 13, 13, 15, 15, 11, 11, 15, 15, 14, 14, 17, 17, 17, 17, 16, 17, 16, 17, 16, 12, 12, 14, 14, 17, 17, 17, 17, 16, 17, 16, 17, 16, 4, 4, 5, 7, 6, 6, 7, 8, 8, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 7, 9, 10, 10, 10, 9, 4, 4, 7, 7, 7, 7, 6, 6, 12, 11, 12, 10, 11, 11, 11, 10, 12, 11, 12, 10, 9, 8, 4, 4, 5, 6, 7, 7, 7, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 6, 6, 7, 9, 10, 10, 10, 9, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 7, 8, 8, 8, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 6, 6, 7, 9, 10, 10, 10, 9, 4, 4, 5, 8, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 0, 7, 7, 1, 1, 1, 2, 0, 0, 1, 2, 2, 7, 7, 0, 2, 1, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 0, 1, 1, 2, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 5, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 8, 0, 0, 1, 1, 2, 2, 8, 8, 8, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 4, 4, 9, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 9, 9, 9, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 465, 6234, 203, 2282, 81, 5078, 280, 766, 284, 313, 3663, 44, 4749, 32, 1349, 906, 3355, 32, 508, 78, 100, 78, 96, 20, 474, 766, 284, 313, 2798, 44, 19114, 31, 18916, 78, 100, 78, 96, 20, 474, 766, 284, 313, 7071, 44, 1344, 33, 916, 30, 3164, 33, 17193, 29, 2593, 30, 3164, 33, 2593, 45, 99, 47, 34, 32, 43, 26477, 1109, 45, 99, 47, 34, 32, 42, 78, 100, 78, 96, 20, 474, 766, 284, 313, 1240, 31, 6143, 44, 36995, 33, 39, 32, 34, 308, 74, 35, 35, 45, 7946, 27, 32381, 33, 39, 37, 42, 32, 35, 308, 31966, 30, 2124, 26297, 27, 11766, 33, 35, 42, 32, 34, 32, 35, 34, 36, 39, 32, 35, 37, 37, 19495, 33, 39, 37, 42, 32, 35, 47431, 15839, 33, 34, 32, 39, 78, 100, 78, 96, 20, 474, 766, 284, 313, 7071, 31, 5971, 44, 931, 31, 352, 45, 99, 47, 34, 32, 41, 39, 34, 78, 100, 78, 96, 20, 203, 81, 5078, 280, 766, 284, 313, 2788, 517, 2122, 33, 371, 7086, 1120, 32, 1317, 49, 639, 47, 1772, 639, 4808, 33, 35, 32, 35, 78, 100, 78, 96, 20, 474, 766, 284, 4942, 81, 5078, 474, 766, 284, 2706, 100, 78, 96, 20, 203, 21, 36589, 2980, 280, 766, 284, 313, 3705, 517, 2122, 33, 371, 7086, 1120, 36, 32, 1317, 4808, 33, 35, 32, 35, 78, 100, 78, 96, 20, 474, 766, 284, 4942, 81, 5078, 474, 766, 284, 313, 1777, 31, 2380, 44, 225, 41, 78, 100, 78, 96, 20, 474, 766, 284, 2706, 100, 78, 96, 20, 474, 766, 284, 313, 639, 47, 1772, 639, 866, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 309, 280, 6234, 32, 4817, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 13169, 27, 284, 309, 32, 3517, 26146, 639, 32, 1349, 906, 3355, 32, 508, 392, 225, 42, 34, 490, 284, 309, 32, 2714, 26, 371, 81, 5078, 27, 284, 3112, 280, 1605, 284, 2218, 2933, 44, 291, 343, 280, 309, 32, 12084, 26, 35, 34, 36, 38, 27, 291, 415, 343, 44, 324, 3112, 32, 1689, 26, 86, 27, 291, 813, 44, 324, 1626, 284, 706, 280, 35617, 2524, 26, 2668, 27, 284, 309, 32, 2679, 346, 284, 1459, 706, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 2, 2, 2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 7, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 0, 3, 3, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 4, 4, 5, 4, 5, 5, 3, 3, 3, 3, 6, 6, 6, 5, 0, 1, 1, 1, 1, 1, 1, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 5, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 3, 3, 3, 3, 5, 6, 6, 6, 2, 2, 2, 2, 4, 4, 4, 4, 4, 0, 1, 3, 3, 3, 2, 4, 4, 1, 1, 1, 7, 7, 7, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 2, 2, 2, 6, 6, 5, 6, 6, 6, 2, 5, 5, 4, 2, 3, 4, 4, 3, 3, 3, 6, 6, 9, 9, 9, 9, 8, 9, 9, 4, 4, 5, 5, 5, 10, 10, 10, 10, 10, 10, 5, 6, 6, 6, 8, 2, 5, 5, 4, 7, 7, 7, 7, 2, 2, 2, 6, 6, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 3, 3, 2, 2, 2, 2, 0, 1, 1, 2, 0, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 3, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 6, 0, 0, 0, 1, 1, 1, 6, 6, 6, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 3, 3, 3, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 3, 0, 0, 0, 3, 4, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 4, 4, 4, 0, 3, 0, 0, 0, 2, 2, 1, 1, 3, 3, 3, 2, 2, 3, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3995, 203, 465, 802, 203, 465, 29590, 203, 465, 22977, 203, 465, 41911, 36871, 619, 337, 7887, 203, 1070, 638, 3560, 81, 1237, 1188, 1487, 203, 81, 2739, 81, 12455, 81, 15630, 280, 301, 284, 330, 5670, 370, 284, 330, 12644, 370, 284, 330, 15456, 370, 284, 330, 10129, 370, 284, 330, 7516, 613, 45598, 370, 284, 330, 20799, 370, 284, 330, 15781, 370, 284, 330, 31141, 370, 284, 330, 6016, 370, 284, 330, 1023, 2396, 370, 284, 330, 25869, 370, 261, 203, 111, 203, 20740, 81, 3539, 280, 330, 3968, 32, 5930, 25, 203, 81, 6016, 81, 20219, 43695, 280, 301, 4511, 540, 370, 950, 330, 17799, 32075, 370, 4511, 540, 10255, 102, 950, 330, 3999, 32075, 25, 4511, 320, 203, 589, 617, 878, 81, 1643, 265, 26, 12595, 711, 284, 17584, 280, 617, 6016, 81, 20219, 43695, 32, 371, 26, 12595, 30, 330, 32075, 31576, 683, 284, 442, 17584, 32, 1643, 26, 12595, 27, 203, 589, 617, 8136, 81, 983, 26, 1199, 81, 983, 711, 284, 343, 359, 30, 1519, 280, 2322, 32, 983, 32, 2998, 26, 1199, 81, 983, 27, 284, 415, 343, 359, 610, 40496, 291, 3082, 81, 983, 280, 2322, 32, 983, 32, 2524, 39054, 1519, 27, 284, 442, 3082, 81, 983, 203, 589, 617, 2018, 81, 3560, 81, 1199, 26, 1433, 81, 1515, 30, 1344, 81, 761, 30, 706, 81, 6057, 30, 528, 3338, 81, 6057, 30, 9710, 30, 1519, 30, 1858, 81, 426, 30, 18935, 30, 528, 5489, 30, 18188, 30, 3066, 1057, 761, 7831, 284, 1858, 280, 5548, 26, 1433, 81, 1515, 30, 1344, 81, 761, 30, 1750, 1858, 81, 426, 30, 1750, 706, 81, 6057, 30, 1750, 3338, 81, 6057, 30, 1750, 9710, 30, 18935, 30, 5489, 27, 284, 5365, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 1433, 81, 1515, 30, 358, 5180, 1400, 81, 3539, 27, 284, 1596, 44, 291, 623, 9042, 3976, 26, 1433, 81, 1515, 30, 1344, 81, 761, 30, 706, 81, 6057, 30, 3775, 3338, 81, 6057, 30, 9710, 30, 18935, 30, 5365, 81, 761, 27, 619, 5365, 44, 324, 5365, 32, 1821, 346, 291, 623, 8258, 1996, 2798, 26, 983, 30, 18188, 27, 619, 457, 44, 324, 6213, 280, 457, 32, 7017, 346, 324, 415, 646, 5489, 44, 400, 6213, 32, 4526, 26, 1274, 32, 1297, 81, 1217, 1157, 324, 6213, 32, 4526, 26, 1274, 32, 3215, 81, 1217, 1157, 324, 457, 32, 3375, 346, 284, 8295, 44, 291, 415, 3066, 610, 330, 6175, 950, 324, 22977, 32, 100, 41718, 26, 1433, 81, 1515, 27, 291, 813, 44, 324, 2322, 32, 23754, 26, 3968, 81, 761, 27, 203, 589, 617, 371, 81, 3855, 81, 761, 2262, 284, 442, 35617, 2524, 26, 3855, 32, 11447, 26, 800, 32, 14510, 81, 37314, 27, 436, 617, 328, 2155, 26, 35, 34, 490, 203, 823, 21862, 5965, 26, 984, 711, 284, 3097, 203, 823, 9042, 3976, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1779, 81, 1515, 30, 1344, 81, 761, 30, 5018, 81, 6057, 30, 353, 6090, 30, 9710, 30, 18935, 30, 5365 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 2, 2, 3, 0, 1, 1, 4, 4, 4, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 3, 3, 3, 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, 3, 3, 6, 6, 6, 4, 6, 6, 6, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 7, 6, 7, 6, 7, 6, 6, 8, 8, 8, 2, 2, 3, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 6, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 2, 2, 3, 5, 4, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 8, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 1, 1, 4, 4, 6, 7, 7, 7, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 2, 2, 3, 3, 3, 5, 10, 10, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 10, 11, 11, 10, 10, 10, 10, 10, 10, 11, 11, 10, 8, 8, 5, 5, 5, 9, 10, 9, 4, 4, 5, 10, 10, 10, 11, 10, 10, 10, 8, 8, 5, 5, 5, 8, 8, 10, 11, 10, 6, 6, 7, 8, 7, 7, 7, 11, 12, 11, 14, 13, 14, 14, 14, 13, 6, 6, 9, 10, 9, 12, 11, 12, 12, 12, 11, 6, 6, 9, 10, 9, 3, 3, 4, 4, 4, 6, 7, 7, 9, 9, 6, 6, 10, 11, 11, 10, 11, 11, 11, 10, 6, 6, 7, 7, 7, 11, 12, 11, 12, 12, 12, 11, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 6, 5, 8, 7, 8, 7, 9, 8, 9, 9, 9, 7, 5, 6, 6, 6, 8, 9, 9, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 1, 1, 2, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 3, 1, 1, 2, 2, 2, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 0, 11, 11, 1, 1, 1, 2, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 0, 12, 12, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 7, 7, 2, 2, 2, 2, 2, 2, 13, 13, 2, 2, 2, 2, 2, 2, 2, 2, 2, 21, 1, 2, 12, 12, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 5, 5, 1, 1, 1, 7, 7, 1, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 13, 13, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 2, 2, 3, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 1, 1, 1, 2, 13, 13, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 14, 14, 1, 2, 1, 2, 14, 14, 0, 15, 15, 1, 2, 1, 2, 15, 15, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]

[ 1070, 298, 1269, 362, 1356, 32, 3626, 1199, 1188, 3909, 3771, 30, 6061, 1120, 30, 570, 59, 203, 1070, 298, 1269, 362, 1356, 32, 95, 5185, 1040, 1188, 8556, 1536, 203, 1070, 298, 1269, 362, 1356, 32, 3626, 1188, 6061, 203, 1070, 298, 1269, 362, 1356, 32, 3086, 1188, 11408, 203, 1070, 298, 1269, 362, 1356, 32, 12118, 1188, 390, 4846, 2406, 2044, 11198, 203, 1070, 298, 1269, 362, 1356, 32, 12118, 1188, 1224, 9512, 1323, 479, 620, 81, 11198, 203, 1070, 298, 1269, 362, 1356, 32, 17806, 32, 35585, 1188, 5022, 1391, 81, 2352, 3113, 30, 5022, 1391, 81, 1706, 81, 9690, 30, 766, 291, 5022, 1391, 81, 11198, 203, 1070, 298, 1269, 362, 1356, 32, 1040, 1188, 31034, 30, 1224, 1392, 203, 1070, 298, 1269, 362, 1356, 32, 3034, 1188, 766, 291, 13850, 81, 2352, 3113, 30, 766, 291, 9753, 81, 2352, 3113, 30, 766, 291, 27702, 1186, 81, 2352, 3113, 30, 766, 291, 18323, 81, 9690, 3113, 30, 766, 291, 5022, 1391, 81, 1706, 81, 2352, 3113, 30, 766, 291, 9781, 4672, 30, 766, 291, 624, 8426, 3113, 30, 766, 291, 624, 8426, 70, 279, 267, 3113, 30, 766, 291, 18323, 81, 2352, 3113, 203, 823, 6934, 61, 9512, 1323, 479, 26, 3771, 711, 284, 11408, 81, 1868, 280, 907, 1959, 26, 2344, 32, 90, 4744, 2344, 27, 284, 7113, 81, 1339, 280, 18323, 81, 9690, 3113, 284, 5570, 3113, 81, 1339, 280, 27702, 1186, 81, 2352, 3113, 284, 42691, 81, 1339, 280, 1224, 9512, 1323, 479, 620, 81, 11198, 284, 665, 1487, 3771, 26, 784, 30, 1769, 81, 37234, 6593, 35, 30, 1929, 81, 30736, 47, 35, 30, 1115, 3086, 711, 291, 456, 30, 309, 280, 11408, 26, 784, 471, 630, 32, 101, 291, 8556, 1536, 26, 3086, 30, 5760, 47, 43, 30, 47571, 47, 35, 30, 31640, 47, 35, 30, 4654, 12258, 47, 35, 43, 27, 291, 630, 32, 2344, 81, 1868, 26, 94, 30, 1115, 3086, 27, 291, 630, 32, 29596, 26, 94, 32, 891, 77, 34, 614, 456, 32, 891, 77, 35, 1130, 291, 309, 32, 23304, 267, 280, 624, 8426, 70, 279, 267, 3113, 26, 94, 32, 101, 32, 23304, 267, 32, 106, 30, 456, 32, 101, 32, 23304, 267, 32, 107, 30, 630, 30, 6619, 1769, 81, 37234, 47, 1449, 81, 37234, 30, 1929, 81, 30736, 47, 1516, 81, 30736, 27, 291, 309, 32, 105, 8426, 280, 624, 8426, 3113, 26, 94, 32, 101, 32, 105, 8426, 32, 106, 30, 456, 32, 101, 32, 105, 8426, 32, 107, 30, 630, 27, 291, 436, 540, 328, 456, 32, 101, 32, 6264, 993, 44, 324, 309, 32, 6264, 993, 32, 1689, 26, 400, 630, 32, 9690, 81, 1339, 26, 100, 32, 106, 30, 540, 32, 107, 30, 630, 30, 14573, 47, 100, 32, 37408, 490, 291, 436, 540, 328, 456, 32, 101, 32, 2138, 44, 324, 309, 32, 2138, 32, 1689, 26, 784, 32, 2352, 3113, 81, 1339, 26, 100, 32, 106, 30, 540, 32, 107, 30, 630, 490, 291, 456, 32, 1536, 1934, 346, 291, 415, 1769, 81, 37234, 848, 225, 35, 44, 324 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 3, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 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, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 1, 1, 2, 1, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 7, 4, 4, 6, 6, 5, 6, 4, 4, 6, 4, 3, 3, 7, 7, 6, 6, 9, 10, 9, 7, 8, 9, 4, 4, 7, 7, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 9, 8, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 7, 4, 4, 7, 8, 7, 10, 9, 10, 8, 9, 8, 7, 9, 10, 8, 9, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 12, 11, 12, 10, 11, 11, 9, 10, 8, 8, 11, 12, 10, 11, 11, 9, 10, 8, 8, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 12, 11, 12, 10, 11, 11, 9, 10, 8, 8, 11, 12, 10, 11, 11, 9, 10, 8, 8, 8, 4, 4, 5, 5, 5, 7, 8, 6, 7, 7, 5, 5, 5, 10, 11, 11, 9, 10, 9, 9, 9, 11, 12, 12, 12, 11, 13, 12, 13, 11, 11, 12, 13, 11, 11, 11, 11, 12, 14, 13, 14, 11, 4, 4, 5, 5, 5, 7, 8, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 12, 11, 12, 12, 12, 12, 11, 13, 12, 13, 11, 11, 12, 13, 11, 11, 11, 4, 4, 7, 8, 8, 7, 4, 4, 5, 7, 7, 6, 6, 7, 5, 5 ]

[ 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 7, 6, 0, 0, 0, 0, 7, 7, 0, 0, 0, 1, 2, 7, 7, 7, 7, 0, 0, 8, 8, 0, 0, 0, 1, 2, 8, 8, 3, 8, 0, 0, 0, 8, 8, 6, 8, 0, 0, 0, 8, 8, 9, 8, 0, 0, 0, 0, 8, 8, 12, 8, 0, 0, 0, 8, 8, 15, 8, 0, 0, 0, 0, 0, 0, 8, 8, 18, 8, 0, 8, 8, 21, 8, 0, 0, 8, 8, 24, 8, 0, 0, 0, 0, 0, 8, 8, 27, 8, 0, 0, 0, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 4, 1, 2, 1, 2, 2, 0, 0, 3, 1, 2, 2, 0, 0, 5, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 0, 9, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 3, 2, 3, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 3, 2, 1, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 0, 0, 9, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 3, 2, 1, 1, 1, 4, 4, 6, 6, 6, 0, 2, 3, 2, 2, 6, 6, 6, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 7, 0, 2, 2, 1, 4, 4, 7, 7, 7, 0, 2, 3, 2, 7, 7, 7, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 4, 4, 9, 0, 0, 1, 1, 2, 9, 9 ]

[ 465, 13092, 203, 1070, 298, 1975, 274, 81, 725, 32, 8538, 1188, 5412, 1241, 203, 1070, 298, 1975, 274, 81, 2250, 32, 3378, 1188, 31724, 81, 6229, 9135, 30, 11567, 527, 16769, 81, 12146, 81, 24916, 203, 50, 12408, 32, 1826, 32, 28913, 463, 20808, 81, 687, 370, 11567, 527, 16769, 81, 12146, 81, 24916, 27, 203, 50, 12408, 32, 1826, 32, 11025, 81, 1199, 203, 589, 894, 81, 6008, 81, 687, 81, 5790, 26, 20808, 81, 687, 711, 284, 2234, 81, 605, 280, 301, 291, 330, 687, 950, 5215, 81, 687, 30, 291, 330, 1553, 1621, 950, 31724, 81, 6229, 9135, 32, 3494, 8532, 34, 614, 291, 330, 27207, 950, 330, 13611, 370, 291, 330, 1855, 81, 4189, 950, 225, 35, 30, 284, 320, 284, 2234, 280, 5412, 1241, 26, 599, 81, 605, 27, 284, 1201, 646, 2234, 32, 297, 81, 1327, 346, 284, 1201, 330, 687, 25, 328, 2234, 32, 4275, 284, 1201, 2069, 26, 599, 32, 4275, 32, 3494, 1157, 610, 225, 35, 203, 50, 12408, 32, 1826, 32, 11025, 81, 1199, 203, 589, 894, 81, 6008, 81, 687, 81, 5006, 81, 5790, 2262, 284, 2234, 81, 605, 280, 301, 291, 330, 687, 950, 330, 225, 5769, 291, 330, 1553, 1621, 950, 31724, 81, 6229, 9135, 32, 3494, 8532, 34, 614, 291, 330, 27207, 950, 330, 13611, 370, 291, 330, 1855, 81, 4189, 950, 225, 35, 30, 284, 320, 284, 2234, 280, 5412, 1241, 26, 599, 81, 605, 27, 284, 1201, 646, 2234, 32, 297, 81, 1327, 346, 284, 1201, 330, 687, 25, 328, 2234, 32, 4275, 284, 1201, 2069, 26, 599, 32, 4275, 32, 3494, 1157, 610, 225, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 6, 5, 6, 4, 5, 4, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 4, 1, 2, 5, 4, 5, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 6, 6, 5, 5, 6, 6, 9, 9, 7, 8, 8, 6, 6, 6, 9, 9, 9, 7, 11, 11, 11, 10, 11, 10, 9, 8, 6, 6, 9, 9, 7, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 6, 6, 6, 3, 3, 5, 5, 7, 7, 8, 8, 8, 7, 3, 3, 4, 5, 7, 8, 8, 8, 7, 3, 3, 4, 7, 7, 5, 5, 6, 7, 3, 3, 4, 7, 11, 10, 11, 9, 10, 9, 5, 5, 6, 0, 2, 5, 4, 5, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 6, 5, 5, 6, 6, 9, 9, 7, 9, 9, 6, 6, 9, 9, 9, 7, 11, 11, 11, 10, 11, 10, 9, 8, 6, 6, 9, 9, 7, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 6, 6, 6, 3, 3, 5, 5, 7, 7, 8, 8, 8, 7, 3, 3, 4, 5, 7, 8, 8, 8, 7, 3, 3, 4, 7, 7, 5, 5, 6, 7, 3, 3, 4, 7, 11, 10, 11, 9, 10, 9, 5, 5, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 1, 3, 1, 0, 0, 2, 1, 2, 2, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 3, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 2, 7, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 2, 2, 2, 1, 4, 4, 3, 1, 2, 1, 1, 2, 2, 4, 4, 4, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 3, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 2, 7, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 2, 2, 2, 1, 4, 4, 3, 1, 2, 1, 1, 2, 2, 4, 4, 4, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 12460, 203, 465, 2322, 203, 465, 16539, 203, 1070, 4354, 30608, 32, 1163, 1188, 45623, 203, 1070, 4354, 30608, 32, 8524, 1188, 308, 284, 2299, 81, 2501, 81, 9362, 30, 438, 81, 24917, 30, 438, 81, 4463, 30, 438, 81, 4783, 30, 2156, 81, 761, 30, 1510, 27, 203, 1070, 4354, 30608, 32, 2304, 32, 12329, 1188, 308, 284, 7901, 81, 33802, 81, 22902, 30, 622, 81, 5123, 81, 13074, 342, 930, 101, 30, 622, 81, 5123, 81, 1356, 1515, 30, 4082, 27, 203, 38150, 81, 983, 280, 2322, 32, 983, 32, 2524, 463, 89, 4520, 31, 14820, 1954, 31, 36, 32, 34, 370, 330, 36, 32, 35, 34, 32, 34, 370, 330, 38150, 683, 203, 3316, 983, 280, 313, 1356, 33, 89, 4520, 31, 14820, 1954, 31, 36, 32, 34, 33, 36, 32, 35, 34, 32, 34, 33, 38150, 20, 203, 2613, 3316, 280, 313, 1356, 33, 89, 4520, 31, 14820, 1954, 31, 36, 32, 34, 33, 36, 32, 35, 34, 32, 34, 20, 203, 89, 4520, 81, 14820, 1954, 81, 1217, 81, 38150, 280, 1665, 203, 1270, 44, 284, 5034, 1515, 280, 622, 81, 5123, 81, 1356, 1515, 463, 57, 4520, 24169, 1954, 370, 330, 36, 32, 34, 683, 203, 7343, 10091, 44, 284, 4082, 32, 5691, 26, 291, 6113, 7133, 31, 5123, 32, 6319, 32, 57, 4520, 24169, 1954, 20, 10302, 30, 330, 291, 330, 8119, 570, 4520, 24169, 1954, 4253, 646, 2431, 25, 284, 829, 284, 5034, 1515, 280, 1665, 203, 325, 5034, 1515, 44, 284, 33382, 280, 428, 291, 2322, 32, 983, 32, 2524, 26, 1356, 1515, 30, 330, 89, 4520, 31, 14820, 1954, 31, 36, 32, 34, 33, 89, 4520, 31, 14820, 1954, 31, 1217, 31, 38150, 1425, 291, 330, 89, 4520, 31, 14820, 1954, 31, 1217, 31, 38150, 31, 40, 38, 370, 291, 330, 89, 4520, 31, 14820, 1954, 31, 1217, 31, 38150, 370, 284, 1481, 284, 436, 4774, 328, 33382, 44, 291, 485, 4520, 81, 14820, 1954, 81, 1217, 81, 38150, 280, 1510, 26, 3515, 27, 291, 415, 485, 4520, 81, 14820, 1954, 81, 1217, 81, 38150, 438, 646, 1665, 44, 324, 1626, 284, 415, 485, 4520, 81, 14820, 1954, 81, 1217, 81, 38150, 438, 1665, 44, 291, 4082, 32, 5691, 26, 324, 6113, 7133, 31, 5123, 32, 6319, 32, 57, 4520, 24169, 1954, 20, 10302, 30, 4558, 330, 324, 6113, 89, 4520, 31, 14820, 1954, 31, 1217, 31, 38150, 20, 438, 646, 328, 398, 4065, 556, 20894, 5034, 4921, 4564, 291, 829, 284, 813, 44, 291, 26672, 30, 19634, 30, 6826, 22450, 280, 622, 81, 5123, 81, 13074, 342, 930, 101, 463, 57, 4520, 24169, 1954, 370, 330, 36, 32, 34, 683, 291, 19634, 1454, 7901, 81, 33802, 81, 22902, 463, 89, 4520, 31, 14820, 1954, 683, 291, 415, 438, 81, 4463, 44, 324, 1447, 280, 39395, 9685, 20, 291, 4348, 438, 81, 24917, 556, 438, 81, 4783, 44, 324, 1447, 280, 39395, 762, 20, 291, 415, 1447, 44, 324, 11522, 81, 8820, 280, 1605, 324, 5257, 280, 2322, 32, 983, 32, 2524, 26, 1356, 1515, 30, 2454, 483, 81, 983, 30 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 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, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 1, 2, 2, 2, 2, 2, 6, 7, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 3, 3, 6, 5, 5, 0, 1, 1, 2, 1, 1, 1, 4, 4, 5, 5, 8, 9, 7, 8, 7, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 3, 3, 3, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 3, 3, 4, 4, 4, 8, 8, 8, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 5, 5, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 5, 5, 6, 7, 7, 6, 6, 6, 9, 9, 11, 11, 6, 6, 7, 9, 9, 8, 8, 9, 9, 7, 7, 7, 10, 10, 12, 12, 5, 5, 6, 6, 6, 6, 10, 10, 9, 9, 7, 7, 9, 9, 12, 13, 11, 12, 11, 12, 12, 11, 11, 12, 12, 12, 11 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 10, 3, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 0, 0, 11, 11, 1, 11, 11, 11, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 4, 0, 0, 1, 1, 2, 2, 4, 4, 4, 0, 0, 1, 2, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1 ]

[ 465, 1542, 32, 2304, 203, 465, 30902, 619, 4257, 203, 1070, 29551, 47291, 1188, 3089, 203, 1070, 540, 3513, 81, 2122, 32, 24219, 81, 20784, 1188, 40469, 6729, 203, 13411, 280, 313, 41, 36, 37, 40, 39, 84, 41, 85, 34, 34, 37, 41, 20, 203, 1746, 81, 13411, 280, 313, 43, 85, 43, 39, 41, 369, 38, 43, 40, 3589, 20, 203, 6586, 81, 5919, 280, 1665, 203, 27263, 81, 267, 280, 1665, 203, 589, 10750, 26, 3483, 81, 426, 711, 284, 27311, 48742, 13874, 16335, 101, 20, 904, 6863, 81, 426, 15435, 203, 589, 2835, 4944, 26, 3483, 81, 426, 711, 284, 27311, 48742, 1746, 4944, 16335, 101, 20, 904, 6863, 81, 426, 15435, 203, 589, 10750, 81, 100, 3513, 2262, 284, 3089, 32, 669, 81, 2592, 440, 24219, 81, 1367, 392, 4257, 32, 2137, 440, 13738, 81, 8543, 392, 1542, 32, 2304, 32, 2759, 26, 18306, 6729, 471, 12607, 47, 1815, 490, 203, 589, 2835, 4944, 81, 100, 3513, 2262, 284, 3089, 32, 3798, 81, 2592, 440, 24219, 81, 1367, 392, 313, 13738, 81, 8543, 657, 203, 589, 10750, 81, 7982, 2262, 284, 3097, 203, 589, 2835, 4944, 81, 7982, 2262, 284, 3097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 2, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 7, 8, 8, 8, 8, 6, 6, 7, 7, 5, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 7, 8, 7, 9, 9, 9, 9, 7, 10, 11, 9, 10, 9, 10, 10, 9, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 2, 1, 1, 1, 2, 8, 8, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 9, 9, 1, 2, 1, 1, 1, 2, 9, 9, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 10, 10, 1, 1, 1, 2, 10, 10, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 2, 1, 0, 11, 11, 1, 1, 1, 1, 2, 11, 11, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 12, 12, 1, 1, 2, 12, 12, 0, 13, 13, 1, 1, 1, 2, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 15798, 203, 465, 5741, 203, 7490, 32, 6390, 1063, 26, 2649, 47, 7490, 32, 1589, 27, 203, 465, 7138, 203, 465, 24297, 203, 465, 2361, 203, 465, 2322, 203, 1070, 2398, 3703, 1188, 2398, 3703, 619, 2398, 3703, 203, 1070, 3717, 8442, 1188, 3717, 8442, 619, 3717, 8442, 203, 1070, 3717, 8442, 1261, 1188, 3717, 8442, 1261, 619, 3717, 8442, 1261, 203, 1070, 3717, 8442, 5773, 1188, 3717, 8442, 5773, 619, 3717, 8442, 5773, 203, 1070, 3717, 8442, 1261, 5773, 1188, 3717, 8442, 1261, 5773, 619, 3717, 8442, 1261, 5773, 203, 1070, 24300, 414, 1188, 24300, 414, 1261, 619, 24300, 414, 1261, 203, 1070, 24300, 414, 1188, 24300, 414, 619, 24300, 414, 203, 823, 2108, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 39891, 280, 313, 33003, 20, 291, 630, 32, 2250, 280, 313, 7534, 20, 291, 630, 32, 34426, 280, 313, 16257, 20, 291, 630, 32, 770, 800, 280, 313, 36, 34, 35, 42, 31, 34, 38, 31, 34, 35, 20, 291, 630, 32, 2901, 7963, 873, 280, 2398, 3703, 26, 784, 32, 39891, 27, 284, 665, 646, 445, 505, 466, 3207, 784, 711, 291, 1459, 26, 784, 32, 2901, 7963, 873, 27, 284, 665, 894, 505, 1664, 3207, 784, 711, 291, 1596, 44, 324, 2398, 3703, 4207, 3780, 12724, 657, 291, 2940, 29316, 619, 13489, 44, 324, 1459, 440, 7700, 3268, 44, 904, 101, 20, 904, 13489, 27, 291, 1596, 44, 324, 20927, 280, 2398, 3703, 440, 33003, 657, 324, 20927, 32, 5522, 440, 6876, 2250, 392, 630, 32, 34426, 30, 313, 36, 34, 35, 42, 31, 34, 38, 31, 34, 35, 657, 291, 2940, 29316, 619, 13489, 44, 324, 1459, 440, 7700, 3268, 44, 904, 101, 20, 904, 13489, 27, 291, 1596, 44, 324, 2398, 3703, 440, 33003, 657, 324, 20927, 32, 5522, 440, 17828, 625, 14460, 392, 313, 2139, 2174, 566, 360, 24778, 392, 313, 36, 34, 35, 42, 31, 34, 38, 31, 34, 35, 657, 291, 2940, 29316, 619, 13489, 44, 324, 1459, 440, 7700, 3268, 44, 904, 101, 20, 904, 13489, 27, 291, 1596, 44, 324, 2398, 3703, 440, 33003, 657, 324, 20927, 32, 5522, 440, 17828, 625, 14460, 392, 313, 3499, 2797, 53, 37, 48138, 1599, 392, 313, 36, 34, 35, 42, 31, 34, 38, 31, 34, 35, 657, 291, 2940, 29316, 619, 13489, 44, 324, 1459, 440, 7700, 3268, 44, 904, 101, 20, 904, 13489, 27, 284, 665, 894, 505, 33644, 3207, 784, 711, 291, 20927, 280, 2398, 3703, 440, 33003, 657, 291, 20927, 32, 5522, 440, 7534, 392, 313, 16257, 392, 313, 36, 34, 35, 42, 31, 34, 38, 31, 34, 35, 657, 291, 31764, 280, 20927, 1365, 2613, 101, 1446, 291, 1459, 26, 2613, 101, 27, 291, 1201, 6937, 26, 2613, 101, 30, 5436, 27, 291, 273, 2496, 280, 20927, 1365, 1421, 83, 1446, 291, 1459, 26, 1421, 83, 27, 291, 1201, 6937, 26, 1421, 83, 30, 3717, 8442, 1261, 27, 291, 8349, 280, 20927, 1365, 1421, 83, 392, 2884, 44135, 3945, 32, 1555, 774, 32 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 4, 3, 4, 4, 3, 5, 4, 6, 5, 6, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 4, 2, 2, 3, 0, 1, 1, 3, 1, 1, 4, 2, 2, 3, 0, 1, 1, 3, 3, 1, 1, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 3, 1, 1, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 4, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 1, 1, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 1, 1, 4, 2, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 9, 9, 11, 11, 11, 5, 5, 6, 7, 7, 6, 6, 6, 10, 13, 13, 13, 13, 13, 13, 11, 11, 10, 4, 4, 5, 5, 5, 8, 8, 10, 10, 12, 12, 6, 6, 9, 10, 9, 11, 11, 11, 9, 10, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 7, 7, 6, 6, 6, 10, 13, 13, 13, 13, 13, 13, 11, 11, 10, 4, 4, 5, 5, 5, 9, 9, 11, 11, 6, 6, 9, 10, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 7, 7, 6, 6, 6, 10, 13, 13, 13, 13, 13, 13, 11, 11, 10, 4, 4, 5, 5, 5, 9, 9, 11, 11, 6, 6, 9, 10, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 7, 7, 6, 6, 6, 10, 13, 13, 13, 13, 13, 13, 11, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 10, 4, 4, 7, 8, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 7, 9, 9, 9, 4, 4, 7, 8, 8, 7, 4, 4, 5, 7, 8, 8, 7, 7, 7, 4, 4, 7, 6, 6, 7, 9, 9, 9, 4, 4, 7, 8, 8, 7, 4, 4, 5, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 6, 6, 7, 9, 9, 9, 7, 10, 10, 10, 10, 10, 10 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 8, 8, 0, 3, 3, 2, 0, 9, 9, 0, 9, 9, 0, 3, 3, 2, 0, 10, 10, 0, 0, 10, 10, 0, 0, 3, 3, 2, 2, 0, 11, 11, 0, 0, 11, 11, 0, 0, 3, 3, 2, 2, 0, 12, 12, 0, 0, 0, 12, 12, 0, 0, 0, 3, 3, 2, 2, 2, 0, 13, 13, 0, 13, 13, 0, 0, 3, 3, 2, 2, 0, 14, 14, 0, 14, 14, 0, 3, 3, 2, 0, 15, 15, 2, 0, 1, 2, 2, 15, 15, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 3, 3, 0, 1, 1, 2, 2, 2, 0, 2, 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, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 4, 4, 7, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1 ]

[ 465, 15798, 203, 465, 20069, 1783, 619, 20069, 203, 465, 999, 18160, 19011, 203, 465, 3995, 203, 1070, 1933, 1188, 28667, 203, 1070, 343, 2632, 1188, 343, 2632, 30, 706, 30, 18186, 203, 589, 636, 81, 1473, 26, 2067, 30, 636, 711, 334, 2830, 3667, 426, 505, 280, 636, 334, 442, 2830, 203, 23626, 280, 428, 284, 636, 81, 1473, 26, 365, 32, 3406, 32, 25953, 3291, 463, 76, 867, 672, 1425, 400, 330, 76, 867, 672, 1425, 284, 636, 81, 1473, 26, 365, 32, 3406, 32, 55, 5334, 500, 81, 24511, 13986, 26, 35, 34, 34, 30, 298, 47, 35, 1569, 35, 34, 34, 30, 36575, 47, 2700, 30, 23737, 47, 2700, 471, 400, 330, 527, 81, 93, 35, 81, 642, 1138, 318, 81, 1347, 81, 35721, 1425, 284, 636, 81, 1473, 26, 365, 32, 3406, 32, 55, 5334, 500, 81, 24511, 13986, 26, 35, 34, 34, 30, 298, 47, 39, 1569, 35, 34, 34, 30, 36575, 47, 2700, 30, 23737, 47, 2700, 471, 400, 330, 527, 81, 93, 39, 81, 642, 1138, 318, 81, 1347, 81, 35721, 1425, 284, 636, 81, 1473, 26, 365, 32, 3406, 32, 55, 5334, 500, 81, 24511, 13986, 26, 35, 34, 34, 30, 298, 47, 35, 1569, 35, 34, 34, 30, 36575, 47, 1815, 30, 23737, 47, 2700, 471, 400, 330, 527, 81, 93, 35, 81, 47682, 81, 1347, 81, 35721, 1425, 284, 636, 81, 1473, 26, 365, 32, 3406, 32, 55, 5334, 500, 81, 24511, 13986, 26, 35, 34, 34, 30, 298, 47, 39, 1569, 35, 34, 34, 30, 36575, 47, 1815, 30, 23737, 47, 2700, 471, 400, 330, 527, 81, 93, 39, 81, 47682, 81, 1347, 81, 35721, 1425, 284, 636, 81, 1473, 26, 365, 32, 3406, 32, 55, 5334, 500, 81, 24511, 13986, 26, 35, 34, 34, 30, 298, 47, 35, 1569, 35, 34, 34, 30, 36575, 47, 2700, 30, 23737, 47, 1815, 471, 400, 330, 527, 81, 93, 35, 81, 642, 1138, 318, 81, 35721, 1425, 284, 636, 81, 1473, 26, 365, 32, 3406, 32, 55, 5334, 500, 81, 24511, 13986, 26, 35, 34, 34, 30, 298, 47, 39, 1569, 35, 34, 34, 30, 36575, 47, 2700, 30, 23737, 47, 1815, 471, 400, 330, 527, 81, 93, 39, 81, 642, 1138, 318, 81, 35721, 1425, 284, 636, 81, 1473, 26, 365, 32, 3406, 32, 55, 5334, 500, 81, 24511, 13986, 26, 35, 34, 34, 30, 298, 47, 35, 1569, 35, 34, 34, 30, 36575, 47, 1815, 30, 23737, 47, 1815, 471, 400, 330, 527, 81, 93, 35, 81, 47682, 81, 35721, 1425, 284, 636, 81, 1473, 26, 365, 32, 3406, 32, 55, 5334, 500, 81, 24511, 13986, 26, 35, 34, 34, 30, 298, 47, 39, 1569, 35, 34, 34, 30, 36575, 47, 1815, 30, 23737, 47, 1815, 471, 400, 330, 527, 81, 93, 39, 81, 47682, 81, 35721, 1425, 284, 636, 81, 1473, 26, 365, 32, 3406, 32, 3350, 26, 35, 34, 34, 30, 225, 37, 30, 827, 47, 365, 32, 27803, 81, 1413, 9674, 1345, 471, 400, 330, 3350, 81, 642, 1138, 318, 1425, 284, 636, 81, 1473, 26, 365 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 6, 6, 4, 4, 2, 2, 3, 0, 3, 2, 2, 3, 3, 5, 5, 5, 9, 8, 9, 7, 8, 8, 7, 9, 9, 9, 9, 5, 5, 7, 7, 7, 7, 3, 3, 5, 5, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 7, 7, 8, 9, 7, 7, 8, 9, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 7, 7, 8, 9, 7, 7, 8, 9, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 7, 7, 8, 9, 7, 7, 8, 9, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 7, 7, 8, 9, 7, 7, 8, 9, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 7, 7, 8, 9, 7, 7, 8, 9, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 7, 7, 8, 9, 7, 7, 8, 9, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 7, 7, 8, 9, 7, 7, 8, 9, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 10, 10, 10, 10, 10, 7, 7, 8, 9, 7, 7, 8, 9, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 7, 8, 7, 7, 8, 10, 9, 10, 10, 10, 10, 10, 7, 5, 5, 7, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 9 ]

[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 2, 2, 0, 0, 4, 4, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0 ]

[ 1070, 638, 468, 708, 445, 1188, 2454, 203, 589, 5510, 81, 371, 2262, 284, 665, 1412, 81, 1536, 81, 878, 26, 1580, 711, 291, 1789, 280, 2043, 32, 371, 4207, 8881, 33, 12353, 657, 291, 1201, 225, 36, 34, 34, 610, 1789, 32, 1517, 81, 687, 291, 1201, 5436, 26, 324, 636, 347, 6899, 278, 543, 624, 24566, 392, 324, 3048, 347, 525, 555, 29436, 8761, 48703, 32, 508, 33, 289, 7995, 33, 2372, 278, 543, 31, 105, 24566, 392, 324, 20664, 11414, 2372, 278, 543, 370, 330, 2372, 278, 543, 31, 105, 24566, 370, 330, 12353, 2188, 324, 10022, 33792, 324, 2280, 347, 525, 555, 5007, 33, 12353, 33, 13822, 31, 4266, 33, 266, 31, 12191, 392, 291, 829, 610, 2454, 26, 1986, 27, 284, 665, 1412, 81, 1347, 81, 1536, 81, 878, 26, 1580, 711, 291, 1789, 280, 2043, 32, 371, 4207, 8881, 33, 479, 40987, 657, 291, 1201, 225, 36, 34, 34, 610, 1789, 32, 1517, 81, 687, 291, 1201, 313, 525, 555, 5007, 33, 479, 40987, 33, 8761, 31, 878, 33, 1704, 307, 31, 7020, 20, 610, 766, 324, 2454, 26, 1986, 39336, 2763, 785, 284, 665, 1412, 81, 24943, 81, 5815, 47357, 81, 7230, 26, 1580, 711, 291, 1789, 280, 2043, 32, 371, 4207, 8881, 33, 37390, 31, 12117, 272, 657, 291, 1201, 225, 36, 34, 34, 610, 1789, 32, 1517, 81, 687, 291, 1201, 2107, 1746, 370, 330, 38164, 13443, 370, 330, 3518, 785, 610, 2454, 26, 1986, 39336, 3481, 785, 284, 665, 1412, 81, 13983, 4279, 81, 266, 81, 678, 26, 1580, 711, 291, 1789, 280, 2043, 32, 371, 4207, 8881, 33, 23289, 2489, 31, 11871, 657, 291, 1201, 225, 36, 34, 34, 610, 1789, 32, 1517, 81, 687, 284, 665, 561, 81, 3255, 81, 668, 81, 6036, 81, 1347, 81, 678, 26, 1580, 711, 291, 1789, 280, 2043, 32, 371, 4207, 8881, 29594, 291, 1201, 225, 36, 34, 34, 610, 1789, 32, 1517, 81, 687, 291, 706, 280, 2454, 26, 1986, 27, 291, 1201, 313, 525, 555, 5007, 33, 8881, 33, 12353, 20, 610, 706, 710, 6899, 278, 543, 624, 24566, 785, 291, 1201, 2069, 26, 605, 27, 2377, 225, 36, 34, 10065, 665, 561, 81, 45116, 81, 6036, 81, 878, 81, 297, 81, 27120, 26, 1580, 711, 291, 1789, 280, 2043, 32, 371, 4207, 8881, 33, 12353, 33, 1393, 33, 3462, 657, 291, 1201, 225, 37, 34, 36, 610, 1789, 32, 1517, 81, 687, 291, 1201, 4145, 83, 976, 3784, 12353, 33, 1393, 33, 3462, 13469, 328, 2454, 26, 1986, 30, 619, 81, 1260, 47, 2700, 27, 284, 665, 561, 81, 45116, 81, 6036, 81, 678, 81, 297, 81, 278, 81, 7909, 26, 1580, 711, 291, 1789, 280, 2043, 32, 371, 4207, 8881, 33, 2372, 278, 543, 31, 105, 24566, 657, 291, 1201, 225, 37, 34, 36, 610, 1789, 32, 1517, 81, 687, 291, 1201, 4145, 83, 976, 3784, 8881, 33, 12353, 13469, 328, 2454, 26, 1986, 30, 619, 81, 1260, 47, 2700, 27, 203, 589, 5510, 81, 1526, 2262, 284, 665, 561, 81, 3255, 81, 278, 81, 731, 26, 1580, 711, 291 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 4, 4, 4, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 7, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 5, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 8, 8, 9, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 4, 4, 5, 7, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 6, 9, 10, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 7, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 5, 9, 9, 7, 9, 9, 9, 7, 9, 9, 6, 6, 9, 10, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 7, 7, 7, 6, 6, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 4, 4, 5, 7, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 8, 9, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 7, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 8, 10, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 7, 7, 7, 6, 6, 7, 8, 8, 8, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 8, 10, 10, 9, 10, 8, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 7, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 2, 2, 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, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0 ]

[ 465, 2322, 203, 9081, 280, 428, 284, 330, 26275, 32, 407, 32, 4846, 431, 542, 370, 284, 330, 26275, 32, 407, 32, 1409, 28998, 370, 284, 330, 26275, 32, 407, 32, 1071, 687, 785, 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, 2250, 280, 1044, 20, 86, 3732, 1262, 20, 203, 11794, 280, 1044, 20, 36, 34, 35, 41, 30, 394, 37073, 869, 30084, 26147, 20, 203, 2116, 280, 1044, 20, 70, 37073, 869, 30084, 26147, 20, 203, 6426, 81, 426, 280, 1044, 20, 86, 3732, 1262, 20, 203, 1648, 280, 1044, 20, 37, 32, 35, 37, 32, 34, 20, 203, 3779, 280, 1503, 203, 4189, 280, 1665, 203, 10444, 81, 15719, 280, 1605, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 10425, 81, 1017, 81, 20940, 280, 3177, 203, 916, 81, 4661, 280, 330, 1536, 25, 203, 267, 81, 100, 671, 280, 2322, 32, 12757, 32, 371, 463, 4409, 1781, 44044, 3746, 370, 1665, 27, 610, 330, 1815, 25, 203, 325, 646, 544, 81, 100, 671, 44, 10065, 1459, 463, 908, 1491, 20674, 6093, 30865, 284, 1188, 309, 27392, 81, 100, 671, 81, 4661, 284, 4159, 81, 4661, 280, 330, 26275, 81, 100, 671, 81, 4661, 25, 284, 4159, 81, 4661, 81, 983, 280, 428, 26275, 81, 100, 671, 81, 4661, 32, 371, 81, 916, 81, 4661, 81, 983, 7662, 203, 916, 81, 1574, 81, 983, 280, 2107, 81, 1574, 785, 203, 916, 4756, 81, 15705, 280, 17246, 1427, 2473, 1643, 26, 6426, 81, 426, 27, 203, 24189, 81, 7594, 280, 301, 203, 111, 203, 24189, 81, 17274, 280, 428, 284, 308, 2590, 81, 1427, 30, 17246, 32, 8581, 2473, 1643, 26, 6426, 81, 426, 471, 275, 1044, 25, 2537, 12217, 2473, 1643, 26, 6426, 81, 426, 471, 275, 4081, 30, 330, 12505, 1425, 203, 79, 203, 1588, 81, 5646, 280, 428, 284, 308, 2590, 81, 1427, 30, 5867, 81, 426, 30, 1044, 25, 2537, 12217, 2473, 1643, 26, 6426, 81, 426, 471, 275, 428, 2116, 614, 225, 35, 27, 203, 79, 203, 8581, 1338, 81, 17274, 280, 428, 284, 308, 2590, 81, 1427, 30, 5867, 81, 426, 30, 1044, 25, 2537, 12217, 2473, 1643, 26, 6426, 81, 426, 471, 275, 4081, 30, 5867, 81, 426, 30, 1044, 25, 2852, 2330, 436, 26934, 308, 39461, 27, 706, 370, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]

[ 1, 1, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 5, 5, 3, 3, 5, 5, 0, 1, 1, 2, 3, 3, 3, 1, 1, 1, 5, 7, 7, 7, 7, 7, 2, 2, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 6, 6, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 8, 8, 8, 7, 6, 7, 7, 7, 6, 4, 4, 8, 8, 8, 8, 7, 6, 7, 7, 7, 6, 4, 4, 4, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 5, 5, 4, 4, 8, 8, 8, 8, 7, 6, 7, 7, 7, 6, 4, 4, 6, 5, 4, 5, 4, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 4, 4, 5, 5, 4, 4, 8, 8, 8, 8, 7, 6, 7, 7, 7, 6, 4, 4, 4, 4, 5, 5, 4, 4, 6, 6, 6, 6, 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 ]

[ 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 17, 17, 1, 1, 1, 1, 17, 17, 17, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 9, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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 ]

[ 465, 7138, 203, 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 9042, 12067, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 17777, 81, 2592, 26, 103, 25, 19435, 81, 1436, 8030, 370, 330, 2142, 81, 5178, 81, 314, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 24174, 452, 47, 494, 710, 19435, 32, 2633, 4198, 2188, 744, 47, 1815, 490, 291, 3082, 32, 1297, 81, 1055, 26, 103, 25, 19435, 81, 1436, 8030, 370, 2107, 1436, 81, 7354, 3490, 291, 3082, 32, 1297, 81, 5665, 26, 103, 25, 19435, 81, 1436, 8030, 370, 2107, 3524, 81, 314, 370, 330, 2142, 81, 5178, 81, 314, 370, 330, 1436, 81, 7354, 3490, 291, 3082, 32, 1297, 81, 1055, 26, 103, 25, 19435, 81, 1436, 8030, 370, 2107, 3524, 81, 314, 370, 330, 2142, 81, 5178, 81, 314, 370, 330, 1436, 81, 7354, 3490, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 1055, 26, 103, 25, 19435, 81, 1436, 8030, 370, 2107, 3524, 81, 314, 370, 330, 2142, 81, 5178, 81, 314, 370, 330, 1436, 81, 7354, 3490, 291, 3082, 32, 2560, 81, 5665, 26, 103, 25, 19435, 81, 1436, 8030, 370, 2107, 3524, 81, 314, 370, 330, 2142, 81, 5178, 81, 314, 370, 330, 1436, 81, 7354, 3490, 291, 3082, 32, 2560, 81, 1055, 26, 103, 25, 19435, 81, 1436, 8030, 370, 2107, 1436, 81, 7354, 3490, 291, 3636, 26405, 440, 11394, 10156, 458, 12742, 32, 330, 1175, 9375, 32, 2142, 81, 5178, 25, 461, 2819, 2078, 4881, 526, 34264, 7144, 291, 3082, 32, 17777, 81, 2592, 26, 103, 25, 19435, 81, 1436, 8030, 370, 330, 2142, 81, 5178, 81, 314, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 24174, 452, 47, 494, 710, 19435, 32, 2633, 4198, 7698, 284, 4549, 280, 301, 291, 1044, 25, 2393, 32, 1363, 950, 301, 324, 330, 4232, 950, 5053, 1473, 81, 426, 950, 330, 1564, 8885, 324, 1044, 25, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 5665, 950, 330, 1815, 370, 330, 1449, 81, 1322, 950, 330, 42, 34, 45306, 324, 330, 11893, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 46046, 1176, 370, 5518, 5053, 452, 950, 1044, 20, 494, 710, 2393, 32, 7040, 785, 392, 330, 7919, 46819, 1578, 950, 330, 2700, 370, 330, 5006, 950, 330, 1815, 18143, 291, 801, 291, 1044, 25, 2393, 32, 9198, 950, 301, 324, 330, 4232, 950, 5053, 24576, 950, 11608, 103, 25, 1286, 81, 681, 505, 725, 81, 1172, 370, 1044, 25, 1286, 81, 681, 505, 1160, 370, 1044, 25, 10762, 2004, 683, 392, 330, 5665, 81, 36202, 950, 313, 1162, 103, 25, 1286, 81, 681, 370, 1044 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 12, 11, 13, 13, 13, 13, 13, 9, 10, 11, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 10, 10, 4, 4, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 12, 11, 13, 13, 13, 13, 13, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12 ]

[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 5, 1, 2, 5, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 465, 5237, 203, 465, 2322, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 41723, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 4963, 683, 203, 465, 15798, 203, 465, 22977, 203, 465, 22186, 32, 4280, 619, 2971, 203, 1070, 22186, 32, 913, 1188, 660, 81, 4765, 86, 1433, 203, 1070, 22186, 32, 1580, 32, 11201, 1188, 5675, 203, 1070, 22186, 32, 419, 95, 32, 5558, 32, 11201, 32, 625, 381, 81, 2796, 1188, 766, 284, 8437, 381, 30367, 19735, 23257, 203, 465, 3312, 1114, 14481, 619, 617, 14481, 203, 823, 358, 4911, 1006, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 1486, 280, 5675, 26, 18132, 81, 6426, 280, 429, 35, 30, 28029, 280, 3177, 30, 324, 816, 2613, 280, 3177, 30, 5867, 81, 6460, 280, 3177, 27, 291, 630, 32, 858, 81, 4652, 280, 617, 14481, 32, 371, 81, 858, 81, 20933, 81, 1320, 346, 291, 630, 32, 858, 81, 4652, 36, 280, 617, 14481, 32, 371, 81, 858, 81, 20933, 81, 1320, 36, 346, 291, 630, 32, 858, 81, 4652, 37, 280, 617, 14481, 32, 371, 81, 858, 81, 20933, 81, 1320, 37, 346, 291, 630, 32, 858, 81, 18348, 280, 428, 784, 32, 858, 81, 4652, 30, 630, 32, 858, 81, 4652, 36, 30, 630, 32, 858, 81, 4652, 37, 79, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 1486, 32, 6976, 346, 291, 630, 32, 1486, 32, 16080, 346, 284, 665, 894, 81, 625, 381, 81, 24811, 26, 784, 711, 291, 21022, 280, 301, 2607, 1524, 4697, 308, 1123, 31, 405, 3899, 33, 5002, 1501, 353, 2377, 725, 31, 405, 3899, 33, 5002, 1501, 31, 1771, 31, 36, 32, 36, 32, 34, 2607, 829, 1010, 563, 766, 203, 26488, 1123, 31, 405, 3899, 33, 5002, 1501, 523, 2377, 725, 31, 405, 3899, 33, 5002, 1501, 31, 1771, 31, 36, 32, 36, 32, 34, 829, 392, 2607, 1524, 4697, 308, 308, 485, 15114, 31, 7615, 33, 5872, 543, 829, 308, 831, 286, 31, 1439, 33, 93, 5952, 829, 829, 203, 1010, 563, 766, 203, 26488, 308, 485, 15114, 31, 7615, 33, 5872, 543, 829, 523, 308, 831, 286, 31, 1439, 33, 93, 5952, 829, 829, 392, 2607, 1524, 4697, 308, 333, 3435, 31, 8820, 33, 106, 482, 31, 1356, 31, 35, 32, 36, 4511, 308, 2377, 3435, 31, 8820, 33, 106, 482, 31, 1356, 31, 35, 32, 36, 3501, 33, 34629, 829, 829, 2607, 3330, 563, 766, 203, 26488, 333, 3435, 31, 8820, 33, 106, 482, 31, 1356, 31, 35, 32, 36, 523, 308, 2377, 3435, 31, 8820, 33, 106, 482, 31, 1356, 31, 35, 32, 36, 549, 3501, 33, 34629, 829, 829, 392, 291, 320, 291, 436, 9143, 30, 2799, 328, 21022, 32, 3028, 2262, 324, 554, 280, 8437, 381, 30367, 19735, 23257, 26, 9059, 27, 324, 630, 32, 5299, 26, 3140, 30, 554, 32, 7393, 1157, 284, 665, 894, 81, 1664, 26, 784, 711, 291, 1869, 95, 280, 630, 32, 1486, 32, 2166, 95, 346, 291, 1869, 95, 36, 280, 630, 32, 1486, 32, 2166, 95, 346, 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, 5, 4, 5, 3, 4, 3, 4, 3, 3, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 5, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 10, 10, 10, 9, 9, 11, 8, 8, 9, 9, 8, 8, 8, 10, 9, 9, 8, 8, 10, 10, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 8, 8, 10, 10, 10, 10, 10, 11, 10, 6, 6, 9, 10, 9, 10, 9, 9, 11, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 10, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 9, 8, 4 ]

[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 2, 1, 1, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 2, 2, 1, 4, 1, 6, 1, 8, 8, 8, 8, 9, 9, 3, 9, 0, 0, 0, 0, 0, 10, 10, 0, 2, 1, 1, 2, 0, 11, 11, 1, 1, 2, 0, 1, 2, 2, 11, 11, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 5, 5, 1, 1, 0, 0, 7, 7, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 0, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 4 ]

[ 465, 26313, 203, 1070, 3619, 36102, 32, 8524, 1188, 14323, 203, 589, 4187, 4084, 2262, 284, 415, 19326, 26, 4084, 30, 313, 2795, 81, 5087, 10280, 291, 442, 14323, 346, 284, 442, 617, 2247, 4084, 346, 203, 823, 617, 2247, 4084, 26, 4084, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 14323, 3667, 1664, 3207, 784, 27, 291, 630, 32, 464, 81, 8246, 81, 5087, 280, 26313, 32, 5356, 26, 784, 32, 8458, 27, 291, 630, 32, 311, 15009, 81, 8246, 280, 225, 34, 284, 665, 617, 524, 26, 784, 30, 1623, 711, 291, 14323, 1114, 524, 26, 784, 30, 1623, 27, 291, 630, 32, 311, 15009, 81, 8246, 1454, 225, 35, 284, 665, 2899, 81, 5087, 26, 784, 711, 291, 630, 32, 464, 81, 8246, 81, 5087, 32, 22214, 346, 291, 1596, 44, 324, 707, 15009, 280, 630, 32, 311, 15009, 81, 8246, 429, 225, 35, 324, 415, 707, 15009, 2511, 225, 34, 44, 400, 415, 707, 15009, 333, 225, 34, 44, 528, 3636, 10091, 463, 2795, 81, 5087, 346, 3823, 5133, 5075, 6496, 683, 400, 630, 32, 464, 81, 8246, 81, 5087, 32, 9353, 1934, 346, 324, 630, 32, 311, 15009, 81, 8246, 280, 707, 15009, 291, 8295, 44, 324, 630, 32, 464, 81, 8246, 81, 5087, 32, 3779, 346, 284, 665, 7140, 26, 784, 711, 291, 630, 32, 464, 81, 8246, 81, 5087, 32, 22214, 346, 291, 1596, 44, 324, 2218, 630, 32, 311, 15009, 81, 8246, 44, 400, 630, 32, 464, 81, 8246, 81, 5087, 32, 1684, 346, 291, 8295, 44, 324, 630, 32, 464, 81, 8246, 81, 5087, 32, 3779, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 3, 3, 5, 7, 2, 2, 3, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 5, 5, 5, 9, 8, 8, 10, 11, 11, 11, 11, 9, 9, 10, 6, 6, 7, 9, 8, 8, 9, 7, 7, 7, 9, 11, 10, 10, 11, 9, 9, 9, 11, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 8, 8, 12, 13, 13, 13, 13, 13, 11, 12, 12, 11, 6, 6, 9, 10, 10, 10, 10, 8, 8, 9, 5, 5, 6, 6, 6, 11, 12, 12, 12, 12, 12, 10, 11, 10, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 5, 5, 5, 7, 8, 9, 9, 9, 9, 7, 7, 7, 12, 13, 13, 13, 13, 13, 11, 12, 11, 5, 5, 6, 6, 6, 11, 12, 12, 12, 12, 12, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 4, 4, 1, 0, 0, 1, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 3, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 316, 203, 465, 22977, 203, 465, 5237, 203, 465, 29590, 203, 1070, 894, 32, 2846, 32, 16064, 1188, 2556, 19975, 7233, 30, 2108, 4888, 22751, 30, 3219, 81, 1163, 203, 1070, 15798, 1188, 3319, 39286, 203, 465, 8792, 1832, 32, 4280, 32, 2184, 619, 484, 713, 985, 203, 1070, 8792, 1832, 32, 4280, 1188, 1420, 203, 1070, 8792, 1832, 32, 4280, 32, 1832, 81, 751, 1188, 24261, 3313, 924, 203, 1070, 8792, 1832, 32, 4280, 32, 1163, 1188, 1968, 81, 1762, 30, 1968, 81, 983, 30, 622, 81, 1832, 81, 751, 81, 983, 30, 622, 81, 751, 81, 3607, 30, 622, 81, 6319, 983, 203, 1070, 8792, 1832, 32, 4280, 32, 1163, 1188, 2443, 81, 983, 30, 1245, 81, 761, 81, 1643, 30, 1245, 81, 983, 30, 1914, 81, 8478, 203, 1070, 8792, 1832, 32, 4280, 32, 1163, 1188, 5238, 2031, 30, 8145, 10165, 203, 1070, 8792, 1832, 32, 4280, 32, 1163, 1188, 4040, 81, 4065, 81, 7100, 31254, 30, 3219, 81, 1832, 81, 2184, 203, 1070, 8792, 1832, 32, 4280, 32, 761, 4280, 1188, 1933, 81, 1515, 30, 13947, 30, 2866, 81, 761, 203, 1070, 8792, 1832, 32, 4280, 32, 2184, 1188, 12251, 81, 7223, 81, 7416, 81, 9857, 203, 1070, 8792, 1832, 32, 4280, 32, 978, 36, 4849, 37, 1188, 17078, 203, 823, 24261, 3313, 1063, 1006, 26, 45715, 7233, 711, 284, 3691, 1515, 280, 1665, 284, 665, 14553, 26, 784, 711, 291, 17078, 26, 87, 713, 985, 27, 291, 2599, 26, 21321, 3313, 1063, 1006, 30, 630, 547, 23741, 346, 291, 630, 32, 30606, 280, 29590, 32, 4765, 86, 1433, 346, 284, 665, 34086, 81, 9236, 26, 784, 711, 291, 436, 773, 328, 2322, 32, 12757, 32, 3494, 2262, 324, 415, 773, 32, 15990, 463, 55, 26019, 9492, 81, 683, 461, 773, 863, 330, 55, 26019, 9492, 81, 24111, 6191, 14137, 950, 400, 3555, 2322, 32, 12757, 77, 869, 79, 284, 665, 28921, 26, 784, 711, 291, 2599, 26, 21321, 3313, 1063, 1006, 30, 630, 547, 519, 282, 3211, 346, 291, 1596, 44, 324, 22977, 32, 100, 41718, 26, 784, 32, 30606, 27, 291, 2940, 546, 21887, 44, 324, 3097, 291, 29590, 32, 1433, 1515, 280, 1665, 284, 665, 8488, 26, 784, 30, 2181, 47, 2521, 711, 291, 2075, 280, 3219, 81, 1163, 26, 1132, 47, 1132, 27, 291, 442, 2075, 32, 1163, 284, 665, 894, 81, 1536, 81, 1163, 26, 784, 711, 291, 630, 32, 35161, 81, 9236, 346, 291, 484, 84, 81, 1704, 280, 484, 713, 985, 32, 2208, 81, 2184, 26, 1132, 6020, 1130, 291, 1359, 81, 2184, 280, 484, 84, 81, 1704, 32, 371, 81, 2184, 81, 1170, 81, 1906, 463, 1163, 683, 291, 630, 32, 5299, 26, 5807, 81, 4065, 81, 7100, 31254, 710, 1832, 983, 2188, 330, 1832, 683, 291, 630, 32, 5299, 26, 5807, 81, 4065, 81, 7100, 31254, 710, 3789, 983, 2188, 9142, 291, 630, 32, 5299, 26, 5807, 81, 4065, 81, 7100, 31254, 710, 43322, 81, 3477, 2188, 330, 3477, 683, 291, 630, 32, 5299, 26, 5807, 81, 4065, 81, 7100, 31254, 710, 6319, 983, 2188 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 9, 10, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 8, 9, 7, 8, 7, 5, 5, 7, 10, 11, 10, 12, 12, 12, 12, 12, 8, 8, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 11, 12, 10, 11, 10, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 5, 5, 5, 9, 10, 10, 9, 11, 10, 11, 9, 5, 5, 6, 7, 6, 6, 6, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 8, 8, 10, 9, 10, 8, 4, 4, 5, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 8, 10, 9, 10, 4, 4, 7, 7, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 6, 6, 0, 0, 7, 7, 0, 0, 2, 0, 4, 1, 1, 2, 2, 0, 8, 8, 0, 1, 2, 8, 8, 0, 9, 9, 0, 1, 2, 1, 4, 4, 4, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 1, 4, 10, 10, 0, 0, 10, 10, 0, 0, 10, 10, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 11, 11, 0, 1, 2, 1, 4, 11, 11, 0, 0, 11, 11, 0, 0, 0, 0, 11, 11, 0, 0, 11, 11, 0, 0, 0, 12, 12, 0, 1, 2, 1, 4, 12, 12, 0, 12, 12, 0, 0, 13, 13, 0, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 14, 14, 0, 1, 2, 1, 4, 4, 14, 14, 0, 0, 14, 14, 14, 14, 0, 0, 0, 15, 15, 0, 1, 2, 1, 4, 15, 15, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 1, 2, 1, 4, 4, 4, 4, 16, 16, 0, 17, 17, 1, 1, 1, 2, 1, 1, 2, 17, 17, 0, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 4, 4, 3, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 1, 3, 3, 3, 4, 4, 0, 2, 2, 0, 0, 4, 4, 4, 2, 1, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2 ]

[ 465, 6234, 203, 465, 5741, 203, 465, 1133, 203, 1070, 619, 841, 1262, 1188, 26635, 203, 1070, 11337, 1188, 23624, 203, 465, 11337, 1862, 203, 1070, 11736, 512, 948, 1188, 4101, 13172, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 14453, 2059, 26, 9998, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 2965, 280, 1665, 30, 2601, 280, 1665, 711, 357, 202, 9998, 3667, 1664, 3207, 784, 27, 357, 202, 784, 32, 1297, 81, 4817, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 13169, 27, 357, 202, 784, 32, 470, 81, 31897, 81, 3225, 346, 357, 202, 784, 32, 2539, 1162, 2468, 30, 2601, 490, 357, 202, 784, 32, 12220, 26, 39, 27, 203, 202, 589, 2887, 81, 7494, 26, 784, 711, 357, 202, 5210, 280, 630, 32, 7494, 346, 357, 202, 325, 6092, 438, 1665, 44, 355, 202, 601, 357, 202, 9184, 30, 8705, 280, 6092, 357, 202, 751, 32, 1338, 463, 24137, 3387, 645, 904, 101, 370, 26542, 26, 3225, 490, 357, 202, 890, 1776, 280, 14453, 9998, 26, 9184, 27, 357, 202, 890, 1776, 32, 2853, 3663, 280, 8705, 77, 34, 79, 357, 202, 890, 1776, 32, 2853, 3437, 280, 8705, 77, 35, 79, 357, 202, 784, 32, 266, 6286, 32, 1689, 26, 890, 1776, 27, 203, 202, 589, 2145, 4495, 26, 784, 711, 357, 202, 601, 2933, 203, 202, 589, 1156, 13707, 3207, 784, 711, 357, 202, 601, 313, 12364, 2059, 904, 101, 6069, 86, 20, 904, 308, 784, 32, 3225, 77, 34, 614, 630, 32, 3225, 77, 35, 1130, 203, 202, 505, 466, 505, 280, 1156, 13707, 505, 203, 823, 14453, 9998, 26, 9613, 1862, 32, 1862, 9998, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 13363, 280, 1665, 30, 22256, 47, 2044, 13172, 30, 2965, 280, 1665, 30, 2601, 280, 1665, 711, 357, 202, 9613, 1862, 32, 1862, 9998, 3667, 1664, 3207, 784, 30, 13363, 47, 9184, 30, 22256, 47, 12782, 27, 357, 202, 784, 32, 10687, 280, 3177, 357, 202, 784, 32, 2853, 3663, 280, 3330, 357, 202, 784, 32, 2853, 3437, 280, 429, 35, 357, 202, 325, 2965, 438, 646, 1665, 461, 2601, 438, 646, 1665, 44, 355, 202, 784, 32, 3517, 26, 2468, 30, 2601, 27, 203, 202, 589, 5008, 26, 784, 30, 3408, 30, 2601, 711, 357, 202, 784, 32, 2853, 3663, 280, 3408, 357, 202, 784, 32, 2853, 3437, 280, 2601, 357, 202, 784, 32, 10687, 280, 3177, 357, 202, 751, 32, 1338, 440, 3517, 904, 101, 6069, 86, 392, 630, 32, 2853, 3663, 30, 630, 32, 2853, 3437, 27, 357, 202, 784, 32, 1297, 81, 4817, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 13169, 27, 357, 202, 751, 32, 1338, 440, 2797, 3387, 8158, 30, 561, 1098, 11322, 45882, 7144, 357, 202, 19059, 32, 3517, 26, 784, 30, 308, 784, 32, 2853, 3663, 30, 630, 32, 2853, 3437, 490, 203, 202, 589, 30407, 26, 784, 711, 357, 202, 784, 32, 3517, 26, 784, 32, 2853, 3663, 30, 630, 32, 2853, 3437, 27, 203, 202, 589, 2887, 81, 1821 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 8, 7, 8, 8, 8, 8, 8, 7, 4, 4, 8, 7, 8, 7, 9, 8, 8, 8, 4, 4, 8, 7, 8, 7, 8, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 8, 4, 4, 5, 5, 6, 6, 5, 5, 5, 7, 4, 4, 8, 7, 7, 6, 6, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 10, 9, 4, 4, 7, 7, 6, 6, 8, 8, 9, 8, 4, 4, 8, 8, 7, 8, 8, 6, 6, 7, 8, 7, 4, 4, 8, 8, 7, 8, 8, 6, 6, 7, 8, 7, 4, 4, 9, 8, 9, 9, 7, 8, 7, 8, 8, 7, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 9, 10, 8, 9, 8, 7, 9, 10, 8, 9, 8, 2, 2, 5, 5, 5, 4, 4, 5, 5, 0, 1, 1, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 6, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 9, 9, 8, 9, 9, 7, 8, 8, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 6, 6, 8, 4, 4, 5, 5, 7, 7, 7, 6, 6, 7, 7, 7, 5, 5, 5, 10, 9, 10, 9, 10, 9, 9, 9, 2, 2, 3, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 7, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 8, 9, 9, 7, 7, 8, 9, 9, 7, 4, 4, 8, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 8, 7, 8, 7, 8, 7, 7, 10, 9, 10, 10, 8, 8, 9, 10, 10, 8, 2, 2, 3, 3, 4, 5, 4, 3, 3, 8, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 9, 7, 2, 2, 3, 3, 4, 4 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 4, 4, 3, 3, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 3, 2, 3, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 9, 9, 1, 2, 0, 0, 1, 2, 2, 2, 9, 9, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 2, 2, 7, 7, 2, 2, 9, 9, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 1, 4, 4, 4, 4, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 1, 5, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 3, 3, 3, 2, 2, 3, 4, 4, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 4, 4, 3, 3, 1, 1 ]

[ 465, 2322, 203, 1070, 15798, 1188, 19205, 203, 465, 343, 2632, 203, 1070, 4395, 1188, 7841, 203, 1070, 9206, 424, 32, 15215, 1188, 1476, 81, 2795, 30, 1519, 203, 1070, 9755, 14612, 32, 906, 13547, 1188, 37401, 203, 1070, 298, 6075, 930, 32, 3512, 1188, 4961, 3682, 14673, 81, 3602, 81, 3197, 81, 5425, 30, 7901, 81, 3512, 203, 1070, 4377, 2304, 32, 16447, 1188, 23471, 203, 1070, 638, 2304, 1188, 447, 15219, 7233, 203, 7789, 81, 4065, 280, 1519, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 7781, 4064, 761, 505, 7748, 203, 3765, 81, 30521, 81, 3197, 280, 32252, 81, 4065, 517, 313, 2282, 33, 858, 33, 858, 31, 4661, 20, 261, 203, 823, 2108, 9913, 424, 9417, 6859, 6701, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 3140, 81, 16059, 81, 24015, 280, 428, 324, 1519, 463, 2282, 33, 1574, 33, 16059, 1425, 324, 1519, 463, 2282, 33, 1574, 1425, 324, 1519, 463, 1251, 81, 3477, 10820, 16520, 1425, 324, 1519, 463, 1251, 81, 3477, 1425, 324, 1519, 463, 1251, 81, 3477, 33, 16520, 31, 5607, 31, 5248, 33, 1251, 81, 3477, 1425, 324, 1519, 463, 94, 874, 33, 1574, 33, 16059, 33, 27119, 1425, 324, 1519, 463, 94, 874, 33, 1574, 33, 16059, 1425, 324, 1519, 463, 94, 874, 33, 1574, 33, 20680, 33, 16059, 1425, 324, 1519, 463, 13007, 33, 1574, 33, 16059, 1425, 324, 1519, 463, 13007, 33, 1574, 33, 16059, 33, 27119, 1425, 291, 1481, 291, 2599, 26, 1006, 9913, 424, 9417, 6859, 6701, 30, 630, 547, 23741, 346, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 3140, 81, 16059, 81, 24015, 280, 1605, 291, 2599, 26, 1006, 9913, 424, 9417, 6859, 6701, 30, 630, 547, 519, 282, 3211, 346, 284, 665, 894, 81, 6589, 81, 3512, 26, 784, 711, 291, 623, 7841, 463, 98, 6075, 930, 32, 3512, 32, 69, 350, 18748, 32, 3317, 683, 619, 4395, 81, 3317, 44, 324, 623, 7841, 463, 98, 6075, 930, 32, 3512, 32, 9134, 32, 1366, 7831, 400, 623, 7841, 463, 98, 6075, 930, 32, 3512, 32, 4526, 81, 8363, 81, 6589, 683, 619, 4395, 81, 8363, 44, 528, 1476, 81, 2795, 26, 715, 330, 98, 6075, 930, 32, 3512, 32, 6589, 81, 3512, 370, 715, 2075, 7814, 4155, 563, 2933, 835, 528, 829, 528, 630, 32, 5299, 26, 3613, 81, 3317, 32, 1851, 81, 998, 30, 225, 36, 27, 528, 630, 32, 5299, 26, 3613, 81, 8363, 32, 1851, 81, 998, 30, 225, 35, 27, 528, 43689, 81, 28090, 81, 1132, 280, 4395, 81, 3317, 32, 1851, 81, 1132, 81, 668, 77, 34, 1674, 34, 79, 528, 630, 32, 25839, 1810, 26, 16059, 81, 28090, 81, 1132, 77, 34, 614, 37401, 27, 528, 630, 32, 25839, 1810, 26, 16059, 81, 28090, 81, 1132, 77, 35, 614, 1149, 27, 528, 630, 32, 862, 3637, 1324, 26, 16059, 81, 28090, 81, 1132, 77, 35, 614, 630, 32, 3140, 81, 16059, 81, 24015, 27, 284, 665, 894, 81, 6589, 81, 4661, 81, 3512, 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, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 8, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 10, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 9, 11, 11, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 4, 4, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 8, 10, 10, 5, 5, 5, 7, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 7, 7, 9, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 12, 12, 14, 14, 9, 9, 9, 13, 13, 13, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 14, 18, 18, 16, 15, 13, 13, 10, 10, 13, 14, 13, 15, 15, 15, 14, 15, 15, 15, 13, 13, 14, 13, 10, 10, 13, 14, 13, 15, 15, 15, 14, 15, 15, 15, 13, 13, 14, 13, 10, 10, 13, 13, 13, 13, 12, 12, 16, 16, 15, 16, 16, 16, 16, 16, 14, 15, 14, 14, 13, 10, 10, 13, 14, 14, 13, 15, 15, 15, 15, 15, 14, 15, 14, 13, 13, 10, 10, 13, 14, 14, 13, 15, 15, 15, 15, 15, 14, 15, 14, 13, 13, 10, 10, 13, 14, 14, 14, 13, 15, 15, 15, 15, 15, 14, 15, 14, 13, 14, 15, 15, 15, 15, 15, 13, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5 ]

[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 4, 4, 0, 5, 5, 0, 1, 2, 2, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 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, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 2, 1, 1, 3, 3, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 1, 3, 3, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 3, 3, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 3, 3, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1 ]

[ 465, 16672, 203, 465, 7060, 203, 465, 5237, 203, 1070, 11993, 1188, 1682, 203, 465, 7169, 81, 1803, 203, 823, 11024, 44, 284, 665, 1156, 1664, 3207, 784, 27, 967, 1665, 44, 291, 630, 1114, 1132, 44, 16672, 32, 5916, 280, 1665, 291, 630, 32, 2208, 26, 3731, 32, 6118, 27, 284, 665, 622, 81, 1367, 81, 4555, 26, 784, 27, 967, 1560, 44, 291, 442, 630, 1114, 1132, 32, 1367, 81, 4555, 284, 665, 617, 2208, 81, 1132, 26, 784, 30, 2181, 44, 1682, 77, 466, 1130, 967, 1665, 44, 291, 4118, 280, 16672, 32, 26633, 26, 2310, 1057, 8536, 28266, 29954, 11834, 291, 4118, 32, 669, 81, 2669, 26, 324, 6470, 101, 370, 324, 2125, 1057, 2157, 81, 1508, 370, 324, 3466, 1057, 1367, 81, 4555, 370, 324, 3049, 1057, 4311, 8822, 25, 291, 829, 291, 630, 1114, 1132, 280, 4118, 32, 2208, 81, 1132, 26, 1132, 27, 284, 665, 3185, 26, 784, 30, 2181, 44, 1682, 77, 466, 1130, 967, 1665, 44, 291, 630, 1114, 2208, 81, 1132, 26, 1132, 77, 35, 19572, 203, 823, 6688, 44, 284, 665, 1156, 1664, 3207, 784, 27, 967, 1665, 44, 291, 1596, 44, 324, 630, 32, 1163, 346, 324, 5237, 32, 4775, 26, 784, 32, 1945, 1157, 291, 2940, 308, 9471, 924, 30, 21300, 19497, 711, 324, 5237, 32, 4775, 26, 35, 35, 38, 27, 291, 2940, 1171, 8112, 619, 3756, 44, 324, 5237, 32, 4775, 26, 3893, 27, 284, 477, 16099, 284, 665, 1359, 346, 967, 1665, 44, 291, 415, 19326, 26, 7295, 30, 330, 14840, 18165, 7831, 324, 7060, 32, 7295, 26, 7295, 32, 14840, 18165, 30, 7060, 32, 14840, 81, 54, 3314, 27, 284, 477, 16099, 284, 665, 617, 2245, 81, 27404, 26, 27404, 44, 7169, 81, 1803, 32, 27259, 27, 967, 1665, 44, 291, 1542, 280, 308, 324, 29954, 32, 371, 81, 40081, 346, 474, 330, 330, 474, 29954, 32, 371, 81, 426, 346, 474, 330, 330, 474, 324, 29954, 32, 371, 81, 681, 346, 474, 330, 330, 474, 596, 26, 27404, 32, 371, 81, 13886, 81, 1449, 1157, 474, 324, 330, 95, 26643, 7404, 474, 596, 26, 27404, 32, 371, 81, 34383, 1157, 474, 330, 20998, 25, 291, 829, 291, 415, 29954, 32, 371, 81, 13218, 346, 610, 6470, 950, 324, 1603, 280, 20514, 324, 415, 29954, 32, 371, 81, 3306, 346, 848, 225, 34, 44, 400, 1603, 1454, 596, 26, 27404, 32, 371, 81, 3306, 1157, 474, 330, 44799, 25, 400, 415, 29954, 32, 371, 81, 34383, 346, 848, 225, 34, 44, 528, 7169, 280, 8930, 34, 44, 38, 32, 36, 88, 16805, 1643, 26, 1808, 26, 715, 29954, 32, 371, 81, 3306, 26536, 27404, 32, 371, 81, 34383, 1157, 517, 225, 35, 34, 34, 34, 34, 34, 34, 27, 528, 1603, 1454, 5769, 330, 474, 596, 26, 7370, 27, 474, 330, 73, 25, 400, 11632, 280, 8930, 34, 44, 37, 32, 35, 88, 16805, 1643, 26, 1808, 26, 528, 29954, 32, 371, 81, 13886, 1157, 517, 29954, 32, 371, 81, 3306, 1157, 400, 1603, 1454, 5769, 330, 474, 596, 26, 14991, 27, 474, 330, 90 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 3, 3, 3, 7, 8, 6, 6, 8, 9, 6, 6, 4, 4, 7, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 3, 5, 7, 8, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 8, 10, 8, 3, 3, 3, 3, 3, 6, 6, 8, 9, 8, 10, 9, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 7, 7, 7, 9, 9, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 9, 8, 2, 2, 3, 4, 5, 4, 4, 5, 5, 8, 10, 8, 3, 3, 3, 3, 3, 7, 8, 8, 8, 7, 9, 8, 10, 9, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 3, 3, 3, 5, 5, 5, 9, 10, 9, 6, 6, 9, 10, 9, 12, 11, 12, 11, 5, 5, 6, 8, 8, 7, 7, 8, 7, 6, 6, 10, 11, 10, 11, 11, 11, 10, 5, 5, 6, 8, 7, 7, 6, 6, 6, 10, 11, 10, 11, 10, 2, 2, 5, 3, 3, 4, 5, 4, 4, 4, 4, 4, 6, 8, 9, 8, 8, 10, 10, 10, 6, 6, 10, 11, 10, 12, 11, 12, 12, 10, 10, 11, 12, 12, 12, 12, 10, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 7, 6, 6, 9, 9, 8, 9, 5, 4, 4, 4, 4, 4, 7, 7, 8, 8, 19, 20, 20, 20, 19, 17, 17, 19, 16, 16, 18, 19, 19, 19, 18, 15, 15, 17, 14, 14, 14, 16, 17, 17, 17, 16, 13, 13, 15, 12, 12, 14, 17, 16, 17, 17, 17, 17, 17, 16, 11, 11, 11, 13, 13, 13, 10, 10, 12, 15, 14, 15, 15, 15, 14, 9, 9, 11, 11, 8, 8, 5, 5, 6, 9, 10, 10, 10, 9, 7, 7, 9, 6, 6, 9, 9, 7, 7, 8, 11, 12, 12, 12, 11, 9, 9, 10, 8, 8, 8, 11, 11, 14, 17, 16, 17, 17, 17, 16, 12, 12, 14, 14, 9, 9, 10, 13, 14, 14, 14, 13, 11, 11, 12, 10, 10, 10, 13, 13, 17, 17, 17, 17, 17, 17, 17, 16, 15, 18, 18, 18, 18, 21, 22, 22, 22, 21, 22, 21, 22, 22, 22, 21, 16, 16, 17, 17, 17, 17, 17, 17, 17, 15, 11, 11, 13, 13, 17, 15, 15, 17, 18, 17, 14, 14, 16, 16, 9, 9, 11, 11, 15, 15, 15, 15, 15, 15, 15, 14, 13, 16, 16, 16, 16, 18, 19, 19, 19, 18, 14, 14, 16, 17, 17, 17, 16, 9, 9, 11, 11, 15, 13, 13, 15, 16, 15, 12, 12, 14 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 5, 5, 5, 5, 5, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 6, 6, 0, 2, 1, 0, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 3, 3, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 6, 6, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 2, 1, 1, 6, 6, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 0, 1, 3, 3, 3, 3, 3, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 6, 6, 6, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 3, 1, 1, 1, 1, 3, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 0, 0, 4, 0, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 3, 3, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 6, 6, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 3, 3, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 3, 3, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 3, 3, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 2958, 32, 605, 32, 4156, 1188, 5890, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8482, 81, 3229, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8482, 81, 2285, 203, 1070, 14785, 32, 2958, 32, 15704, 1188, 9161, 619, 1224, 203, 1070, 14785, 32, 2958, 32, 15704, 32, 3483, 1188, 1695, 81, 32370, 81, 1823, 203, 1070, 14785, 32, 2958, 32, 15704, 32, 8216, 32, 32370, 1188, 6215, 81, 8644, 203, 1070, 14785, 32, 2958, 32, 15704, 32, 8216, 32, 32370, 1188, 802, 81, 10122, 203, 1070, 14785, 32, 2958, 32, 15704, 32, 2304, 1188, 5396, 81, 2304, 203, 1070, 14785, 32, 2958, 32, 15704, 32, 2304, 1188, 5239, 81, 2304, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3498, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4479, 81, 800, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 802, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 32, 2453, 3886, 1188, 540, 35134, 81, 18651, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 32, 2453, 3886, 1188, 540, 35134, 81, 800, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 1040, 32, 4213, 81, 1358, 1188, 20211, 81, 1358, 203, 29715, 81, 3349, 81, 45568, 81, 46371, 935, 44182, 280, 313, 5729, 81, 363, 81, 7201, 81, 98, 24661, 20, 203, 34923, 81, 567, 81, 11990, 34193, 8993, 280, 313, 29903, 20, 203, 5754, 779, 56, 280, 6215, 81, 8644, 32, 5754, 779, 56, 203, 1844, 280, 6215, 81, 8644, 32, 1844, 203, 17905, 280, 6215, 81, 8644, 32, 17905, 203, 7498, 280, 6215, 81, 8644, 32, 7498, 203, 5807, 81, 45568, 81, 29396, 280, 540, 44860, 11555, 35130, 23, 24, 346, 34254, 3370, 5437, 78, 1569, 44, 6456, 2449, 49, 23110, 77, 32291, 8156, 46905, 109, 16839, 22018, 785, 25, 203, 81, 41790, 1319, 81, 2474, 280, 313, 16413, 20, 203, 81, 779, 56, 81, 2474, 280, 313, 29147, 20, 203, 81, 6223, 72, 81, 779, 56, 81, 2474, 280, 313, 604, 104, 81, 29147, 20, 203, 81, 8242, 2347, 792, 7267, 81, 41790, 1319, 81, 2474, 280, 313, 16413, 20, 203, 81, 8242, 2347, 792, 7267, 81, 7498, 69, 81, 2474, 280, 313, 10410, 20, 203, 81, 8242, 2347, 792, 7267, 81, 24021, 81, 7498, 69, 280, 313, 2812, 81, 10410, 20, 203, 81, 8242, 2347, 792, 7267, 81, 5493, 81, 24021, 69, 280, 313, 1516, 81, 17274, 20, 203, 50, 15704, 81, 1358, 26, 284, 313, 15704, 32, 8216, 32, 19561, 32, 32370, 32, 1031, 2863, 1649, 392, 354, 35, 6020, 1130, 203, 823, 3319, 2863, 1649, 26, 1439, 81, 32370, 81, 1823, 32, 23719, 265, 2626, 9452, 4772, 711, 334, 665, 1156, 1664, 3207, 784 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 3, 4, 4, 4, 0, 3, 2, 2, 4, 4, 3, 4, 0, 3, 2, 2, 4, 4, 3, 4, 0, 3, 2, 2, 4, 4, 3, 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, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 5, 6, 1, 2, 2, 3, 3, 3, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 2, 2, 4, 5, 5, 6 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 3, 3, 0, 10, 10, 1, 2, 1, 4, 1, 6, 10, 10, 0, 0, 0, 0, 0, 11, 11, 1, 2, 1, 4, 1, 6, 1, 8, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 1, 6, 1, 8, 12, 12, 0, 0, 0, 13, 13, 1, 2, 1, 4, 1, 6, 13, 13, 0, 0, 0, 14, 14, 1, 2, 1, 4, 1, 6, 14, 14, 0, 0, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 0, 0, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 0, 0, 0, 0, 18, 18, 1, 2, 1, 4, 18, 18, 0, 0, 0, 19, 19, 1, 2, 1, 4, 1, 6, 6, 19, 19, 0, 0, 0, 0, 0, 0, 20, 20, 1, 2, 1, 4, 1, 6, 6, 20, 20, 0, 0, 0, 0, 0, 0, 21, 21, 1, 2, 1, 4, 1, 6, 6, 6, 21, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 2, 36, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1 ]

[ 465, 5741, 203, 465, 6234, 203, 465, 1133, 203, 465, 11171, 203, 465, 18851, 700, 203, 1070, 1476, 289, 1188, 1695, 203, 1070, 1476, 289, 1188, 14735, 619, 13489, 203, 1070, 1476, 289, 1188, 7079, 619, 1148, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 7921, 81, 14247, 280, 225, 40, 34, 203, 823, 15637, 26, 1439, 32, 1761, 711, 284, 665, 1156, 1664, 3207, 784, 30, 400, 2145, 81, 11431, 81, 426, 30, 400, 2145, 81, 3926, 81, 426, 47, 2521, 30, 400, 2145, 81, 15753, 81, 678, 47, 2521, 30, 400, 3860, 12142, 81, 2035, 1057, 5007, 370, 400, 3860, 12142, 81, 496, 1057, 17020, 370, 400, 3860, 12142, 81, 2895, 1057, 17020, 370, 400, 3860, 12142, 81, 104, 2035, 1057, 13093, 400, 3860, 12142, 81, 625, 47, 39, 40, 41, 36, 30, 400, 17778, 47, 2700, 30, 400, 5868, 47, 7921, 81, 14247, 30, 400, 16049, 444, 47, 2700, 30, 400, 2267, 81, 2560, 47, 1815, 30, 400, 8063, 291, 2599, 26, 5392, 30, 630, 14585, 1664, 3207, 31178, 81, 2035, 30, 3860, 12142, 81, 496, 30, 3860, 12142, 81, 2895, 30, 1891, 3860, 12142, 81, 104, 2035, 30, 3860, 12142, 81, 625, 30, 17778, 27, 291, 630, 1114, 6572, 280, 596, 26, 6572, 32, 6572, 38, 1157, 291, 630, 1114, 1786, 81, 11431, 81, 426, 280, 2145, 81, 11431, 81, 426, 291, 630, 1114, 1786, 81, 3926, 81, 426, 280, 2145, 81, 3926, 81, 426, 291, 630, 1114, 1786, 81, 15753, 81, 678, 280, 2145, 81, 15753, 81, 678, 291, 630, 1114, 5457, 280, 5868, 291, 630, 1114, 297, 81, 15628, 280, 3177, 291, 630, 1114, 20114, 81, 314, 280, 1665, 291, 630, 1114, 1986, 280, 1665, 291, 630, 1114, 11431, 81, 426, 280, 330, 1580, 5290, 34, 9956, 327, 5290, 35, 16805, 1643, 26, 784, 1114, 1786, 81, 11431, 81, 426, 30, 630, 1114, 6572, 27, 291, 630, 1114, 3926, 81, 426, 280, 330, 1580, 5290, 34, 9956, 3926, 5290, 35, 16805, 1643, 26, 784, 1114, 1786, 81, 3926, 81, 426, 30, 630, 1114, 6572, 27, 415, 630, 1114, 1786, 81, 3926, 81, 426, 813, 4247, 291, 630, 1114, 19566, 444, 280, 16049, 444, 291, 630, 1114, 2837, 81, 2560, 280, 2267, 81, 2560, 291, 5523, 280, 630, 1114, 2682, 81, 3926, 26, 784, 1114, 3926, 81, 426, 30, 1665, 30, 768, 16049, 444, 47, 784, 1114, 19566, 444, 30, 768, 2267, 81, 2560, 47, 1815, 27, 291, 12473, 280, 18851, 700, 32, 9117, 26, 3237, 47, 784, 1114, 3781, 30, 6619, 31252, 47, 3926, 30, 6619, 16301, 6020, 784, 1114, 267, 81, 1986, 614, 6619, 5514, 11414, 24088, 3490, 291, 12473, 32, 19885, 346, 284, 665, 793, 81, 1786, 26, 784, 30, 15053, 81, 426, 47, 2521, 30, 5523, 81, 426, 47, 2521, 30, 5868, 47, 2521, 711, 291, 415, 15053, 81, 426, 438, 646, 1665, 44, 324, 630, 1114, 1786, 81, 11431, 81, 426, 47, 15053, 81, 426, 291, 415, 5523, 81, 426, 438, 646, 1665, 44, 324, 630, 1114, 1786, 81, 3926, 81, 426, 47, 5523, 81, 426, 291, 415, 5868, 438 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 2, 2, 0, 1, 1, 3, 1, 1, 2, 2, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 7, 7, 4, 4, 6, 6, 6, 5, 7, 7, 4, 4, 6, 6, 6, 5, 7, 7, 4, 4, 6, 6, 6, 6, 5, 7, 4, 4, 6, 6, 6, 5, 6, 6, 6, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 6, 6, 4, 4, 4, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 3, 3, 9, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 11, 10, 11, 11, 10, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 11, 10, 11, 11, 11, 11, 11, 9, 9, 10, 11, 9, 7, 7, 8, 9, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 8, 8, 8, 10, 9, 11, 10, 11, 11, 8, 8, 8, 10, 10, 9, 10, 8, 4, 4, 6, 6, 9, 8, 9, 8, 10, 9, 11, 10, 11, 8, 8, 8, 9, 10, 8, 8, 8, 9, 12, 11, 12, 12, 12, 10, 8, 8, 9, 12, 12, 4, 4, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 9, 9, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 9, 9, 4, 4, 5, 6 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 6, 6, 3, 3, 0, 7, 7, 0, 7, 7, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 10, 10, 2, 0, 1, 2, 2, 10, 10, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 0, 7, 2, 2, 2, 2, 0, 0, 0, 9, 1, 2, 2, 2, 0, 0, 0, 11, 1, 2, 2, 2, 0, 0, 0, 13, 1, 2, 2, 2, 0, 0, 0, 0, 15, 1, 2, 2, 0, 0, 0, 17, 2, 2, 2, 2, 2, 2, 2, 19, 2, 2, 2, 2, 21, 2, 2, 2, 2, 2, 2, 0, 23, 2, 2, 2, 2, 0, 0, 25, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 1, 7, 7, 7, 7, 1, 1, 9, 9, 9, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 5, 0, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 0, 1, 2, 2, 2, 2, 1, 1, 7, 1, 2, 4, 4, 0, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 7, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 2, 1 ]

[ 465, 42406, 203, 465, 6436, 203, 1070, 13134, 32, 1439, 1188, 3772, 38469, 30, 1709, 1889, 13976, 30, 7892, 203, 1070, 13134, 32, 3242, 32, 3242, 1188, 35732, 3350, 15401, 203, 1070, 13134, 32, 2304, 32, 29678, 1188, 5799, 203, 1070, 13134, 1188, 39820, 203, 1070, 13134, 32, 2304, 32, 3855, 1188, 1505, 81, 3855, 81, 1293, 203, 1070, 736, 335, 1606, 32, 4073, 1188, 7139, 203, 1070, 736, 335, 1606, 32, 8319, 81, 466, 21412, 1188, 6608, 15036, 12240, 203, 1070, 736, 335, 1606, 32, 3239, 81, 470, 81, 28295, 1188, 9500, 12280, 1633, 14960, 17955, 885, 4815, 203, 1070, 736, 335, 1606, 32, 3292, 299, 81, 466, 21412, 1188, 15061, 1633, 10332, 7583, 299, 8089, 203, 505, 2116, 505, 280, 330, 55, 1588, 340, 274, 394, 757, 25610, 333, 37076, 340, 274, 32, 102, 757, 25610, 50, 15931, 87, 32, 311, 5285, 32, 283, 6457, 203, 3459, 81, 1844, 280, 6436, 32, 91, 1338, 26, 10337, 32, 410, 37, 36, 547, 1449, 203, 823, 22929, 8089, 26, 1761, 38469, 711, 284, 665, 1156, 1664, 3207, 784, 30, 353, 1695, 81, 28978, 47, 24453, 3350, 15401, 26, 1449, 81, 5905, 1057, 2837, 1425, 353, 5683, 81, 470, 81, 7101, 47, 6096, 12280, 1633, 14960, 17955, 885, 4815, 1026, 353, 3995, 81, 3287, 47, 2521, 711, 291, 630, 32, 1439, 81, 28978, 280, 1695, 81, 28978, 291, 630, 32, 3239, 81, 470, 81, 7101, 280, 5683, 81, 470, 81, 7101, 291, 630, 32, 3855, 81, 3287, 280, 3995, 81, 3287, 284, 665, 5683, 81, 37491, 26, 784, 30, 310, 30, 24904, 30, 533, 30, 7533, 299, 81, 13987, 30, 3995, 81, 1293, 711, 291, 43397, 280, 1605, 291, 7533, 81, 7101, 280, 630, 32, 3239, 81, 470, 81, 7101, 32, 371, 81, 3287, 81, 9582, 26, 324, 310, 30, 24904, 30, 533, 30, 3995, 81, 1293, 291, 829, 291, 436, 595, 30, 11229, 328, 10703, 26, 3292, 81, 7101, 711, 324, 415, 630, 32, 3855, 81, 3287, 438, 646, 1665, 44, 400, 19501, 280, 3995, 81, 1293, 32, 11447, 26, 528, 2069, 26, 107, 471, 528, 1334, 47, 410, 26, 784, 32, 3855, 81, 3287, 28, 1657, 26, 107, 3662, 528, 298, 47, 9582, 30, 7084, 47, 1815, 400, 829, 400, 11229, 280, 6436, 32, 1771, 998, 26, 782, 30, 1847, 1322, 47, 1657, 26, 107, 490, 400, 309, 280, 11229, 32, 1036, 346, 400, 11229, 280, 6436, 32, 955, 2009, 1808, 26, 105, 27, 517, 309, 436, 341, 328, 11229, 1130, 324, 7139, 32, 371, 922, 1821, 440, 19, 19812, 37993, 9318, 308, 91, 29, 35, 490, 324, 3236, 280, 630, 1114, 2682, 81, 28978, 26, 18833, 30, 533, 30, 11229, 30, 3995, 81, 1293, 27, 324, 7533, 299, 81, 13987, 32, 669, 81, 28978, 26, 445, 30, 24904, 30, 533, 30, 11229, 27, 324, 43397, 32, 1689, 26, 445, 27, 291, 442, 43397, 284, 665, 617, 2682, 81, 28978, 26, 784, 30, 24904, 30, 533, 30, 3964, 81, 9582, 30, 3995, 81, 1293, 711, 291, 9124, 280, 3995, 81, 1293, 32, 21378, 26, 3459, 81, 1844, 27, 291, 3236, 280 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 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, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 6, 6, 5, 7, 6, 7, 7, 7, 5, 4, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 6, 6, 5, 7, 7, 7, 7, 9, 9, 9, 8, 10, 10, 4, 4, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 4, 4, 7, 7, 6, 6, 9, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 4, 4, 5, 6, 6, 5, 5, 7, 8, 8, 8, 7, 5, 5, 7, 9, 10, 10, 10, 8, 8, 8, 7, 7, 7, 10, 10, 13, 13, 12, 13, 12, 12, 12, 14, 15, 14, 12, 12, 13, 15, 15, 18, 17, 18, 18, 18, 16, 18, 18, 19, 18, 12, 12, 13, 14, 12, 12, 13, 14, 12, 12, 8, 8, 10, 10, 12, 13, 13, 12, 13, 12, 12, 14, 13, 15, 15, 16, 15, 8, 8, 10, 10, 12, 13, 12, 8, 8, 10, 10, 12, 13, 12, 16, 16, 17, 16, 14, 14, 13, 14, 14, 14, 13, 6, 6, 11, 12, 11, 10, 9, 11, 11, 11, 11, 9, 12, 11, 12, 10, 6, 6, 8, 8, 10, 11, 11, 11, 10, 11, 10, 10, 10, 10, 10, 10, 11, 11, 10, 6, 6, 10, 10, 10, 9, 10, 10, 10, 9, 10, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 10, 9, 10, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 9, 9, 9, 8, 4, 4, 6 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 0, 8, 8, 0, 0, 1, 2, 2, 2, 2, 8, 8, 0, 0, 0, 9, 9, 0, 0, 1, 2, 2, 2, 2, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 1, 2, 2, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 13, 13, 1, 2, 1, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 2, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 7, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 9, 2, 2, 11, 11, 2, 1, 1, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 1, 4, 4, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 3, 0, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 5, 5, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 3, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 4, 4, 3, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0 ]

[ 1070, 47917, 1188, 5111, 30, 438, 652, 203, 9487, 81, 2383, 17330, 6031, 81, 280, 2629, 32, 3889, 203, 589, 14314, 26, 869, 81, 1132, 711, 334, 442, 18559, 81, 2383, 17330, 6031, 3133, 7232, 32, 4699, 26, 9487, 81, 2383, 17330, 6031, 3739, 4209, 27, 203, 589, 43980, 26, 846, 30, 296, 30, 2919, 81, 2067, 711, 334, 415, 18559, 81, 2383, 17330, 6031, 3133, 5376, 44, 284, 18559, 81, 2383, 17330, 6031, 3133, 5376, 32, 1851, 26, 846, 30, 296, 30, 2919, 81, 2067, 27, 334, 813, 44, 284, 5923, 36, 280, 308, 846, 32, 2998, 25416, 415, 438, 652, 26, 846, 27, 813, 5923, 27, 284, 436, 595, 328, 2155, 26, 1657, 26, 846, 8531, 397, 415, 595, 328, 5923, 36, 44, 291, 296, 32, 1851, 26, 2215, 81, 2067, 30, 5923, 36, 77, 91, 614, 595, 30, 5923, 27, 203, 589, 1992, 26, 846, 30, 296, 30, 2919, 81, 2067, 711, 334, 415, 18559, 81, 2383, 17330, 6031, 3133, 1110, 44, 284, 442, 18559, 81, 2383, 17330, 6031, 3133, 1110, 32, 1851, 26, 846, 30, 296, 30, 2919, 81, 2067, 27, 334, 813, 44, 284, 456, 280, 2069, 26, 846, 27, 284, 736, 280, 2629, 26, 94, 27, 284, 5923, 36, 280, 308, 846, 32, 2998, 25416, 415, 438, 652, 26, 846, 27, 813, 5923, 27, 284, 436, 595, 328, 2155, 26, 94, 711, 397, 415, 595, 328, 5923, 36, 44, 291, 736, 77, 91, 79, 280, 296, 32, 1851, 26, 2215, 81, 2067, 30, 5923, 36, 77, 91, 614, 595, 30, 5923, 27, 397, 442, 736, 203, 589, 11665, 26, 846, 30, 296, 30, 909, 30, 2919, 81, 2067, 711, 334, 415, 5923, 32, 8920, 44, 284, 415, 2919, 81, 2067, 44, 397, 442, 5923, 32, 8920, 26, 2539, 26, 88, 30, 2919, 81, 2067, 471, 909, 27, 284, 813, 44, 397, 442, 5923, 32, 8920, 26, 88, 30, 909, 27, 334, 42445, 280, 909, 334, 665, 296, 26, 695, 30, 1650, 711, 284, 42445, 280, 296, 32, 1851, 26, 2215, 81, 2067, 30, 42445, 30, 909, 30, 1650, 30, 5923, 27, 334, 43980, 26, 846, 30, 296, 27, 334, 442, 42445, 203, 589, 11494, 26, 846, 30, 1477, 30, 2919, 81, 416, 711, 334, 415, 4209, 32, 1322, 2511, 225, 36, 44, 284, 442, 18559, 81, 2383, 17330, 6031, 3133, 6099, 32, 1851, 26, 846, 30, 1477, 27, 334, 813, 44, 284, 442, 18559, 81, 2383, 17330, 6031, 3133, 6099, 32, 1851, 26, 846, 30, 1477, 30, 2919, 81, 416, 27, 203, 589, 1869, 3428, 26, 846, 30, 1650, 30, 2624, 7434, 30, 773, 81, 1132, 711, 334, 442, 18559, 81, 2383, 17330, 6031, 3133, 16629, 32, 4699, 26, 397, 5923, 30, 11494, 26, 8299, 30, 225, 35, 490, 203, 589, 5551, 1076, 26, 846, 30, 2830, 30, 2919, 81, 91, 711, 334, 1869, 3428, 26, 846, 30, 2919, 81, 91, 30, 225, 34, 30, 2830, 27, 203, 589, 2761, 26, 846, 30, 296, 30, 2919, 81, 2067, 711, 334, 415, 18559, 81, 2383, 17330, 6031, 3133, 2029, 44, 284, 442, 18559, 81, 2383, 17330, 6031 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 2, 2, 3, 4, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 3, 7, 7, 7, 7, 7, 7, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 9, 9, 9, 9, 9, 9, 7, 8, 7, 8, 7, 7, 7, 7, 8, 8, 7, 3, 3, 4, 4, 4, 8, 7, 7, 12, 11, 12, 11, 9, 9, 11, 11, 12, 11, 9, 9, 8, 5, 5, 6, 6, 6, 8, 10, 10, 11, 10, 6, 6, 8, 9, 9, 10, 8, 8, 8, 12, 13, 12, 13, 13, 13, 12, 12, 14, 13, 14, 13, 12, 12, 12, 12, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 9, 9, 9, 9, 9, 9, 7, 8, 7, 8, 7, 7, 7, 7, 8, 8, 7, 3, 3, 4, 4, 4, 7, 7, 9, 10, 9, 5, 5, 7, 7, 9, 10, 9, 5, 5, 8, 7, 7, 12, 11, 12, 11, 9, 9, 11, 11, 12, 11, 9, 9, 8, 5, 5, 6, 6, 6, 8, 9, 8, 6, 6, 8, 9, 9, 10, 8, 8, 8, 12, 13, 12, 11, 11, 13, 14, 13, 14, 14, 14, 13, 13, 15, 14, 15, 14, 13, 13, 13, 13, 7, 7, 8, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 3, 3, 3, 5, 6, 6, 5, 5, 5, 7, 9, 10, 9, 11, 11, 12, 11, 11, 12, 12, 11, 9, 9, 5, 5, 6, 6, 6, 8, 10, 11, 10, 11, 10, 10, 10, 2, 2, 4, 4, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 5, 5, 5, 2, 2, 3, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 6, 4, 4, 5, 3, 3, 3, 5, 9, 9, 9, 9, 9, 9, 7, 8, 7, 8, 7, 7, 7, 3, 3, 4, 4, 4, 6, 10, 10, 10, 10, 10, 10, 8, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 7, 7, 7, 7, 7, 7, 5, 6, 5, 5, 5, 5, 5, 7, 8, 7, 7, 8, 7, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 5, 5, 5, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 9, 9, 9, 9 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 1, 2, 2, 2, 2, 5, 5, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 3, 2, 3, 1, 1, 1, 1, 0, 4, 4, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 3, 2, 3, 1, 1, 1, 1, 5, 5, 1, 0, 5, 5, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 5, 5, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 4, 0, 6, 6, 2, 1, 2, 2, 2, 2, 5, 5, 2, 6, 6, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 0, 7, 7, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 7, 7, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 0, 8, 8, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 8, 8, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 1, 0, 9, 9, 2, 1, 2, 2, 2, 2, 5, 5, 2, 9, 9, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 6233, 633, 1546, 32, 1262, 32, 1439, 2459, 13059, 1188, 3772, 2459, 750, 1097, 13059, 30, 3772, 2459, 13059, 203, 465, 6436, 203, 465, 27374, 30, 5237, 203, 1070, 6233, 633, 1546, 32, 1262, 1188, 3992, 7090, 203, 1070, 48885, 38, 1188, 10701, 2852, 203, 465, 2322, 203, 465, 17240, 203, 1070, 6233, 633, 1546, 32, 1262, 32, 7236, 1188, 2398, 9794, 203, 1070, 6233, 633, 1546, 32, 1262, 32, 12696, 13059, 1188, 38765, 1097, 203, 7202, 292, 4789, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 203, 1270, 44, 284, 436, 296, 328, 2322, 32, 26366, 26, 500, 32, 983, 32, 21379, 26, 7202, 292, 4789, 474, 3056, 15096, 41095, 291, 2297, 81, 426, 30, 1447, 280, 2322, 32, 983, 32, 48271, 26, 88, 27, 4456, 415, 1447, 610, 5608, 978, 950, 4288, 2297, 280, 1156, 465, 25300, 335, 633, 1546, 32, 3477, 32, 311, 42142, 81, 286, 20103, 32, 1262, 32, 15096, 4564, 474, 2297, 81, 426, 27, 203, 7343, 3268, 30, 484, 44, 284, 1459, 484, 284, 27374, 32, 1216, 81, 14806, 346, 284, 3097, 203, 979, 595, 30, 281, 328, 10703, 26, 15096, 32, 311, 42142, 685, 20103, 1761, 32, 1061, 42142, 685, 20103, 1761, 3667, 1113, 4820, 16369, 711, 284, 1459, 313, 10655, 707, 42142, 47604, 8218, 9318, 281, 32, 426, 203, 823, 1683, 42142, 1097, 2459, 13059, 26, 1761, 2459, 750, 1097, 13059, 711, 284, 636, 280, 313, 1061, 42142, 81, 685, 20103, 20, 284, 665, 1156, 1664, 3207, 784, 30, 706, 1097, 1658, 711, 291, 3772, 2459, 750, 1097, 13059, 3667, 1664, 3207, 784, 30, 706, 1097, 1658, 27, 291, 630, 32, 605, 1097, 1658, 280, 706, 1097, 1658, 291, 630, 32, 12696, 101, 280, 1605, 291, 630, 32, 1131, 750, 280, 1665, 284, 665, 739, 44640, 26, 784, 30, 706, 711, 291, 630, 32, 1131, 750, 280, 706, 203, 823, 1683, 42142, 685, 20103, 2459, 13059, 26, 1761, 2459, 13059, 711, 284, 636, 280, 313, 1061, 42142, 81, 685, 20103, 20, 284, 665, 1156, 1664, 3207, 784, 30, 706, 13059, 711, 291, 3772, 2459, 13059, 3667, 1664, 3207, 784, 30, 706, 13059, 27, 291, 630, 32, 605, 13059, 280, 706, 13059, 291, 630, 32, 311, 42142, 1868, 280, 17240, 32, 311, 42142, 685, 20103, 44844, 32, 1061, 42142, 685, 20103, 44844, 291, 415, 630, 32, 605, 13059, 32, 1647, 1365, 1061, 42142, 81, 685, 20103, 1446, 438, 1665, 44, 324, 630, 32, 605, 13059, 32, 1647, 1365, 1061, 42142, 81, 685, 20103, 1446, 280, 630, 284, 665, 7596, 5472, 26, 784, 30, 1509, 12276, 101, 711, 291, 630, 32, 286, 980, 3021, 280, 1683, 42142, 685, 20103, 3021, 26, 784, 32, 605, 13059, 30, 1509, 12276, 101, 30, 630, 32, 605, 13059, 32, 1647, 1365, 1061, 42142, 81, 685, 20103, 6494, 311, 42142, 1868, 27, 291, 630, 32, 286, 980, 3021, 32, 1366, 346, 291, 442, 630, 32, 286, 980, 3021, 284, 665, 34207, 5472, 26, 784, 711, 291, 4523, 1097, 280, 630, 32, 605, 13059, 77, 784, 32, 605, 13059, 1114, 2480, 1658, 1918, 79, 291, 4523, 1097, 1114, 605, 5450 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 0, 1, 1, 1, 1, 3, 3, 3, 5, 6, 5, 9, 8, 9, 7, 8, 7, 9, 9, 9, 8, 8, 10, 10, 3, 3, 8, 8, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 5, 6, 6, 8, 8, 5, 5, 8, 8, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 12, 10, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 3, 6, 7, 7, 7, 6, 3, 3, 0, 1, 1, 2, 2, 1, 1, 3, 8, 7, 8, 8, 8, 8, 8, 6, 7, 7, 7, 7, 7, 5, 6, 6, 6, 3, 1, 1, 3, 5, 5, 5, 5, 5, 5, 3, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 7, 8, 8, 8, 8, 8, 4, 4, 5, 9, 10, 10, 8, 9, 7, 9, 9, 9, 9, 9, 9, 6, 6, 5, 5, 5, 11, 12, 12, 10, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 10, 9, 10, 10, 8, 8, 9, 9, 8, 8, 12, 13, 13, 11, 12, 10, 12, 12, 12, 12, 12, 12, 10, 10, 10, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 4, 4, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 9, 7, 10, 9, 10, 10, 8, 9, 9, 9, 7, 4, 4, 9, 8, 9, 9 ]

[ 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 10, 10, 10, 10, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 10, 3, 3, 3, 3, 3, 3, 3, 0, 5, 5, 0, 2, 2, 2, 1, 5, 5, 0, 11, 11, 1, 1, 11, 11, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 11, 11, 0, 1, 1, 1, 1, 1, 1, 0, 3, 2, 0, 12, 12, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 12, 12, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 13, 13, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 13, 13, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 3, 3, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 2, 1, 2, 2, 2, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2 ]

[ 1070, 622, 4617, 1188, 622, 4617, 202, 203, 465, 1695, 40, 38, 1000, 203, 1325, 994, 98, 81, 4617, 280, 3330, 203, 589, 739, 81, 11753, 26, 4617, 81, 1322, 30, 739, 81, 5457, 711, 203, 202, 3264, 931, 5772, 98, 81, 4617, 203, 202, 5525, 739, 81, 5457, 848, 225, 34, 44, 357, 202, 1613, 35, 280, 5081, 81, 1131, 5528, 96, 31634, 844, 2124, 372, 4705, 312, 537, 12572, 436, 10653, 49, 308, 75, 33, 96, 711, 7788, 357, 202, 325, 2192, 35, 610, 330, 75, 25, 556, 2192, 35, 610, 330, 107, 950, 355, 202, 5525, 739, 81, 5457, 848, 225, 34, 44, 603, 202, 12817, 35, 280, 622, 4617, 26, 13232, 280, 2706, 96, 6574, 11409, 1370, 12572, 44, 7788, 603, 202, 325, 646, 20038, 35, 32, 297, 1166, 2262, 577, 202, 12817, 36, 280, 622, 4617, 26, 13232, 280, 313, 6574, 11409, 1370, 12572, 4056, 44, 7788, 577, 202, 325, 20038, 35, 610, 20038, 36, 44, 1379, 202, 325, 2069, 26, 12817, 36, 27, 333, 3097, 81, 1322, 44, 1488, 202, 1216, 313, 396, 12572, 2298, 1159, 2149, 7125, 556, 1829, 19, 2296, 1643, 26, 4617, 81, 1322, 27, 1488, 202, 470, 81, 5457, 5912, 225, 35, 1488, 202, 1216, 313, 396, 2448, 1159, 2149, 16554, 26, 101, 35346, 2296, 1643, 26, 470, 81, 5457, 27, 1488, 202, 7505, 1379, 202, 1824, 44, 1488, 202, 1325, 994, 98, 81, 4617, 280, 1695, 40, 38, 32, 84, 40, 38, 4434, 26, 12817, 36, 27, 1488, 202, 1216, 2706, 96, 1720, 47, 12572, 10819, 12633, 1720, 12194, 96, 20, 1488, 202, 4025, 20038, 35, 30, 20038, 36, 1488, 202, 601, 2933, 577, 202, 1824, 44, 1379, 202, 1216, 313, 396, 12572, 1957, 646, 2530, 19, 5294, 8959, 36285, 14351, 96, 20, 1379, 202, 470, 81, 5457, 5912, 225, 35, 1379, 202, 1216, 313, 396, 2448, 1159, 2149, 16554, 26, 101, 35346, 2296, 1643, 26, 470, 81, 5457, 27, 1379, 202, 7505, 603, 202, 1824, 44, 577, 202, 1216, 313, 396, 8073, 12572, 14351, 96, 20, 577, 202, 470, 81, 5457, 5912, 225, 35, 577, 202, 1216, 313, 396, 2448, 1159, 2149, 16554, 26, 101, 35346, 2296, 1643, 26, 470, 81, 5457, 27, 577, 202, 7505, 357, 202, 12106, 2192, 35, 610, 330, 64, 25, 556, 2192, 35, 610, 330, 96, 950, 355, 202, 601, 3177, 355, 202, 2969, 3162, 357, 202, 1824, 44, 355, 202, 325, 739, 81, 5457, 848, 225, 34, 44, 603, 202, 1216, 313, 396, 5294, 6612, 13894, 75, 6945, 556, 13894, 96, 6945, 5341, 1755, 11555, 603, 202, 470, 81, 5457, 5912, 225, 35, 603, 202, 1216, 313, 396, 2448, 1159, 2149, 16554, 26, 101, 35346, 2296, 1643, 26, 470, 81, 5457, 27, 355, 202, 1824, 44, 603, 202, 1216, 2706, 96, 1043, 4306, 30, 4322, 316, 31, 1945, 322, 3460, 461, 8959, 36350, 4938, 14351, 96, 20, 603, 202, 4775, 26, 35, 27, 203, 589, 2549, 81, 22053, 26, 470, 81, 5457, 711, 203, 202, 5525, 739, 81, 5457, 848, 225, 34, 44, 357, 202, 12817, 280, 622, 4617, 26, 13232, 280, 2706, 96 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 3, 1, 1, 3, 0, 0, 1, 1, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 3, 4, 4, 4, 4, 2, 2, 3, 3, 5, 5, 4, 4, 5, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 8, 7, 7, 9, 9, 6, 6, 8, 7, 7, 9, 9, 5, 5, 7, 7, 9, 9, 8, 8, 9, 7, 7, 7, 11, 11, 10, 10, 12, 12, 14, 13, 13, 16, 15, 15, 15, 15, 15, 15, 8, 8, 9, 9, 10, 13, 12, 13, 13, 12, 9, 9, 13, 13, 12, 12, 14, 14, 16, 15, 15, 17, 17, 17, 17, 17, 17, 17, 10, 10, 11, 11, 13, 12, 12, 13, 11, 11, 11, 13, 13, 16, 17, 17, 16, 14, 14, 15, 15, 13, 13, 13, 15, 15, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 17, 18, 18, 18, 17, 14, 14, 17, 17, 17, 16, 16, 17, 14, 14, 15, 15, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 17, 18, 18, 18, 17, 14, 14, 15, 13, 13, 14, 14, 14, 14, 18, 18, 18, 18, 18, 17, 17, 20, 20, 19, 20, 20, 20, 20, 19, 20, 20, 19, 15, 15, 16, 16, 19, 18, 18, 18, 18, 18, 18, 18, 19, 18, 15, 15, 16, 16, 18, 17, 17, 18, 15, 15, 16, 16, 11, 11, 12, 12, 12, 12, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 16, 13, 13, 16, 16, 16, 15, 15, 16, 13, 13, 14, 14, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 16, 17, 17, 17, 16, 13, 13, 14, 9, 9, 10, 10, 10, 10, 12, 12, 14, 14, 14, 14, 15, 14, 11, 11, 14, 14, 14, 13, 13, 14, 11, 11, 12, 12, 16, 16, 16, 16, 16, 16, 16, 16, 16, 15, 14, 15, 15, 15, 14, 11, 11, 12, 5, 5, 6, 6, 9, 8, 8, 10, 10, 7, 7, 9, 8, 8, 10, 10, 6, 6, 8, 8, 7, 7, 8, 5, 5, 5, 6, 6, 6, 6, 8, 8, 10, 10, 9, 9, 10, 8, 8, 8, 10, 10, 12, 12, 12, 12, 12, 13, 12, 12, 12, 13, 12, 12, 12, 9, 9, 12, 12, 12, 11, 11, 12, 9, 9, 10, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 13, 13, 13, 12, 8, 8, 9, 9, 9, 9, 11, 11, 14, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 13, 10, 10, 13, 13, 14, 13, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 3, 5, 5, 4, 4, 5, 3, 3, 3, 7, 6, 6, 8, 8, 10, 9, 9, 12 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 1, 1, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 4, 4, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 4, 4, 0, 0, 3, 3, 1, 1, 1, 1, 5, 5, 5, 5, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0 ]

[ 465, 5741, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 341, 873, 32, 2304, 32, 12035, 1188, 308, 284, 13030, 39, 1241, 1547, 1176, 30, 284, 13030, 39, 1241, 1043, 1176, 203, 27, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 13030, 39, 1043, 1176, 26, 3378, 32, 1043, 1176, 711, 284, 5881, 284, 6028, 3717, 1600, 688, 5251, 322, 13030, 39, 1043, 1612, 6852, 284, 5881, 284, 665, 2234, 1495, 26, 784, 30, 1115, 5321, 711, 291, 5881, 291, 4417, 2992, 3115, 1600, 291, 5881, 291, 10071, 280, 5053, 599, 81, 823, 950, 13030, 39, 1241, 1043, 1176, 111, 291, 10071, 32, 1877, 26, 5321, 27, 291, 442, 2599, 26, 6441, 39, 1043, 1176, 30, 630, 547, 599, 1495, 14605, 10514, 27, 203, 823, 13030, 39, 1547, 1176, 26, 3378, 32, 1547, 1176, 711, 284, 5881, 284, 6028, 3717, 1600, 688, 5251, 322, 13030, 39, 1547, 1612, 6852, 284, 5881, 284, 665, 2234, 1495, 26, 784, 30, 1115, 5321, 711, 291, 5881, 291, 4417, 2992, 3115, 1600, 291, 5881, 291, 10071, 280, 5053, 599, 81, 823, 950, 13030, 39, 1241, 1547, 1176, 111, 291, 10071, 32, 1877, 26, 5321, 27, 291, 442, 2599, 26, 6441, 39, 1547, 1176, 30, 630, 547, 599, 1495, 14605, 10514, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 10, 10, 10, 10, 8, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 5, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 9, 7, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 10, 10, 10, 10, 8, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 5, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 4, 4, 1, 1, 1, 2, 0, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 0, 1, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8527, 32, 1199, 1188, 12522, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 291, 2726, 1439, 370, 330, 34, 34, 39, 37, 81, 2837, 81, 36, 34, 35, 40, 34, 39, 36, 43, 81, 36, 37, 39, 39, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 2529, 3553, 26, 324, 1524, 324, 31636, 32757, 5503, 12139, 1123, 81, 13806, 81, 8644, 45, 324, 20258, 1878, 37992, 32757, 1123, 81, 13806, 81, 8644, 2469, 324, 10246, 2698, 81, 2171, 346, 27879, 1404, 619, 804, 30, 400, 1695, 81, 5784, 4018, 32, 314, 619, 3460, 81, 4018, 81, 314, 30, 400, 3460, 81, 4018, 81, 6416, 32, 314, 619, 12606, 95, 81, 4018, 81, 6416, 81, 314, 30, 400, 1695, 81, 1719, 834, 1928, 32, 314, 619, 13087, 81, 4548, 81, 314, 30, 400, 1695, 81, 11218, 15536, 1928, 32, 314, 619, 9608, 81, 2243, 81, 4548, 81, 314, 30, 400, 2385, 26, 1439, 81, 16320, 38510, 32, 314, 27, 619, 3380, 81, 16320, 81, 44513, 1728, 30, 400, 3632, 26, 1732, 1412, 1695, 81, 16320, 38510, 32, 5020, 81, 3220, 438, 646, 744, 556, 1695, 81, 16320, 38510, 32, 4510, 1865, 81, 3220, 438, 646, 744, 1615, 225, 35, 813, 225, 34, 943, 27, 21361, 81, 44513, 1728, 81, 12596, 324, 645, 1695, 81, 16320, 38510, 324, 7140, 1695, 81, 2848, 16320, 544, 1695, 81, 2848, 16320, 32, 314, 280, 1695, 81, 16320, 38510, 32, 2848, 81, 16320, 81, 314, 324, 7140, 1695, 81, 11218, 15536, 1928, 544, 1695, 81, 11218, 15536, 1928, 32, 314, 280, 1695, 81, 2848, 16320, 32, 11218, 81, 2243, 81, 4548, 81, 314, 324, 7140, 1695, 81, 1719, 834, 1928, 10542, 544, 1695, 81, 1719, 834, 1928, 10542, 32, 314, 280, 1695, 81, 2848, 16320, 32, 16593, 81, 4548, 81, 10542, 81, 314, 324, 7140, 1695, 81, 11218, 2243, 38510, 544, 1695, 81, 11218, 2243, 38510, 32, 314, 280, 1695, 81, 16320, 38510, 32, 11218, 81, 2243, 81, 38510, 81, 314, 324, 7140, 1695, 81, 16593, 38510, 544, 1695, 81, 16593, 38510, 32, 314, 280, 1695, 81, 11218, 2243, 38510, 32, 16593, 81, 38510, 81, 314, 324, 7140, 1695, 81, 1719, 834, 1928, 544, 1695, 81, 1719, 834, 1928, 32, 314, 280, 1695, 81, 16593, 38510, 32, 16593, 81, 4548, 81, 314, 324, 7140, 1695, 81, 5784, 4018, 544, 1695, 81, 5784, 4018, 32, 16593, 81, 4548, 81, 314, 280, 1695, 81, 1719, 834, 1928, 32, 314, 324, 7140, 1695, 81, 6416, 3460, 81, 4018, 81, 6416, 544, 3460, 81, 4018, 81, 6416, 32, 314, 280, 1695, 81, 5784, 4018, 32, 6416, 81, 314, 324, 2154, 1695, 81, 1719, 834, 1928, 10542, 32, 1366, 81, 770, 2511, 21831, 81, 14880, 403, 770, 324, 461, 1695, 81, 1719, 834, 1928, 10542, 32, 416, 81, 770, 2377, 225, 21831, 81, 14880, 403, 770, 324, 2350, 810, 324, 1695, 81, 5784, 4018, 32, 314, 30, 324, 3460, 81, 4018, 81, 6416, 32, 314, 30, 324, 1695, 81, 1719, 834, 1928, 32, 314, 30, 324, 1695 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 48885, 39, 1188, 34031, 203, 1070, 1695, 1188, 9200, 1761, 203, 1070, 2202, 32, 7822, 633, 1071, 1188, 319, 203, 589, 622, 56, 265, 469, 6975, 9071, 1243, 2262, 203, 202, 1160, 280, 34031, 32, 67, 8090, 1097, 1243, 346, 203, 202, 979, 296, 328, 9200, 1761, 922, 42072, 56, 265, 469, 6975, 44, 357, 202, 1094, 280, 34031, 32, 67, 8090, 1097, 26, 88, 32, 426, 27, 357, 202, 1094, 32, 18768, 26, 88, 30, 2202, 32, 9777, 32, 14483, 81, 4601, 81, 17484, 27, 357, 202, 1160, 32, 1689, 2352, 26, 1094, 27, 203, 202, 601, 1542, 203, 589, 622, 58, 4156, 9071, 1243, 2262, 203, 202, 1160, 280, 34031, 32, 67, 8090, 1097, 1243, 346, 203, 202, 979, 420, 328, 9200, 1761, 922, 42072, 58, 4156, 499, 357, 202, 1094, 280, 34031, 32, 67, 8090, 1097, 26, 90, 32, 426, 27, 357, 202, 1094, 32, 18768, 26, 90, 30, 2202, 32, 9777, 32, 14483, 81, 4601, 81, 17484, 27, 357, 202, 1160, 32, 1689, 2352, 26, 1094, 27, 203, 202, 601, 1542, 203, 589, 622, 6417, 1729, 9071, 1243, 2262, 203, 202, 1160, 280, 34031, 32, 67, 8090, 1097, 1243, 346, 203, 202, 979, 345, 328, 9200, 1761, 922, 42072, 6417, 1729, 44, 357, 202, 1094, 280, 34031, 32, 67, 8090, 1097, 26, 95, 32, 426, 27, 357, 202, 1094, 32, 18768, 26, 95, 30, 2202, 32, 9777, 32, 14483, 81, 4601, 81, 17484, 27, 357, 202, 1160, 32, 1689, 2352, 26, 1094, 27, 203, 202, 601, 1542, 203, 589, 622, 75, 14623, 101, 9071, 1243, 2262, 203, 202, 1160, 280, 34031, 32, 67, 8090, 1097, 1243, 346, 203, 202, 979, 533, 328, 9200, 1761, 922, 42072, 75, 14623, 101, 44, 357, 202, 1094, 280, 34031, 32, 67, 8090, 1097, 26, 75, 14623, 1074, 26, 107, 547, 7822, 633, 5287, 3933, 1157, 357, 202, 1094, 32, 18768, 26, 107, 30, 2202, 32, 9777, 32, 14483, 81, 4601, 81, 17484, 27, 357, 202, 1160, 32, 1689, 2352, 26, 1094, 27, 203, 202, 601, 1542, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 3, 3, 3, 6, 6, 5, 5, 5, 5, 5, 3, 3, 3, 7, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 8, 7, 8, 7, 8, 7, 7, 9, 10, 8, 9, 9, 9, 9, 9, 7, 4, 4, 8, 7, 8, 8, 7, 8, 7, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 3, 3, 3, 6, 6, 5, 5, 5, 3, 3, 3, 7, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 8, 7, 8, 7, 8, 7, 7, 9, 10, 8, 9, 9, 9, 9, 9, 7, 4, 4, 8, 7, 8, 8, 7, 8, 7, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 3, 3, 3, 6, 6, 5, 5, 5, 3, 3, 3, 7, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 8, 7, 8, 7, 8, 7, 7, 9, 10, 8, 9, 9, 9, 9, 9, 7, 4, 4, 8, 7, 8, 8, 7, 8, 7, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 3, 3, 3, 6, 6, 5, 5, 5, 5, 3, 3, 3, 7, 6, 6, 8, 9, 9, 9, 8, 12, 12, 12, 12, 13, 12, 11, 11, 11, 11, 10, 4, 4, 8, 7, 8, 7, 8, 7, 7, 9, 10, 8, 9, 9, 9, 9, 9, 7, 4, 4, 8, 7, 8, 8, 7, 8, 7, 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 ]

[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 2, 0, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 2, 0, 5, 5, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 2, 0, 6, 6, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 823, 12186, 26, 1473, 711, 284, 665, 438, 3665, 26, 784, 30, 309, 30, 298, 711, 291, 1459, 26, 101, 30, 298, 27, 291, 345, 30, 310, 280, 2069, 26, 101, 471, 2069, 26, 98, 27, 291, 11339, 280, 428, 428, 3177, 436, 533, 328, 35198, 26, 96, 474, 225, 35, 27, 1481, 436, 816, 328, 35198, 26, 95, 474, 225, 35, 27, 1481, 291, 11339, 77, 34, 1674, 34, 79, 280, 2933, 291, 436, 594, 328, 35198, 26, 35, 30, 310, 474, 225, 35, 711, 324, 415, 298, 77, 92, 31, 35, 79, 610, 30156, 461, 11339, 77, 34, 1674, 92, 31, 35, 2786, 400, 11339, 77, 34, 1674, 92, 79, 280, 2933, 291, 436, 595, 328, 35198, 26, 35, 30, 345, 474, 225, 35, 711, 324, 436, 594, 328, 35198, 26, 35, 30, 310, 474, 225, 35, 711, 400, 415, 308, 101, 77, 91, 31, 35, 79, 610, 298, 77, 92, 31, 35, 79, 556, 298, 77, 92, 31, 35, 79, 610, 25687, 657, 461, 11339, 77, 91, 31, 35, 1674, 92, 31, 35, 2786, 262, 528, 11339, 77, 91, 1674, 92, 79, 280, 2933, 400, 415, 298, 77, 92, 31, 35, 79, 610, 11570, 563, 528, 415, 11339, 77, 91, 1674, 92, 31, 35, 79, 556, 11339, 77, 91, 31, 35, 1674, 92, 2786, 262, 715, 11339, 77, 91, 1674, 92, 79, 280, 2933, 2264, 291, 436, 2698, 328, 11339, 44, 324, 1459, 26, 643, 27, 291, 442, 11339, 6448, 35, 1674, 31, 35, 79, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 1459, 26, 13628, 922, 297, 3665, 440, 2321, 1461, 83, 2131, 284, 1459, 26, 13628, 922, 297, 3665, 440, 2321, 1461, 2321, 2131, 284, 1459, 26, 13628, 922, 297, 3665, 440, 16646, 1461, 2321, 2131, 284, 1459, 26, 13628, 922, 297, 3665, 440, 2321, 392, 11570, 2131, 284, 1459, 26, 13628, 922, 297, 3665, 440, 2321, 392, 313, 83, 28, 2131, 284, 1459, 26, 13628, 922, 297, 3665, 440, 360, 392, 25687, 28, 2131, 284, 1459, 26, 13628, 922, 297, 3665, 440, 28930, 392, 313, 85, 28, 83, 28, 84, 2131, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 7, 7, 4, 4, 7, 7, 6, 6, 9, 10, 9, 7, 9, 10, 9, 4, 4, 6, 6, 7, 8, 8, 9, 9, 9, 11, 13, 12, 12, 13, 11, 8, 7, 8, 8, 8, 10, 12, 11, 11, 12, 10, 7, 4, 4, 8, 9, 8, 8, 7, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 8, 9, 7, 5, 5, 7, 10, 12, 11, 12, 10, 9, 9, 8, 8, 10, 11, 10, 11, 10, 11, 9, 7, 7, 12, 13, 12, 12, 11, 10, 10, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 8, 9, 7, 5, 5, 7, 7, 7, 9, 10, 9, 9, 10, 10, 11, 9, 7, 7, 9, 15, 14, 16, 15, 16, 14, 13, 13, 14, 16, 15, 16, 14, 12, 12, 14, 16, 15, 16, 14, 13, 13, 15, 10, 10, 12, 14, 13, 14, 12, 13, 12, 13, 11, 9, 9, 9, 14, 15, 14, 14, 13, 12, 12, 8, 8, 9, 11, 13, 12, 13, 11, 10, 10, 12, 9, 9, 11, 14, 15, 14, 15, 14, 15, 13, 12, 12, 14, 16, 15, 16, 14, 14, 13, 11, 11, 11, 16, 17, 16, 16, 15, 14, 14, 4, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 9, 4, 4, 5, 7, 9, 7, 7, 8, 6, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 9, 9, 8, 8, 7, 9, 9, 9, 9, 2, 2, 5, 9, 9, 8, 8, 7, 9, 9, 9, 9, 2, 2, 5, 9, 9, 8, 8, 7, 9, 9, 9, 9, 2, 2, 5, 9, 9, 8, 8, 7, 9, 9, 7, 9, 2, 2, 5, 9, 9, 8, 8, 7, 9, 9, 7, 9, 9, 9, 2, 2, 5, 9, 9, 8, 8, 7, 9, 9, 7, 9, 9, 2, 2, 5, 9, 9, 8, 8, 7, 9, 9, 7, 9, 9, 9, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 2, 0, 0, 0, 4, 4, 4, 4, 4, 1, 1, 1, 1, 3, 3, 2, 1, 4, 4, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 4, 4, 5, 5, 5, 1, 1, 1, 1, 3, 3, 2, 1, 5, 5, 0, 0, 0, 1, 1, 1, 1, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 5, 5, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 4, 4, 4, 6, 6, 6, 6, 6, 6, 1, 1, 1, 4, 4, 7, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 3, 3, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 3, 3, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 3, 3, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 3, 3, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 3, 3, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 3, 3, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 638, 9003, 1188, 27556, 203, 823, 12253, 3711, 26, 1473, 711, 284, 26600, 81, 36419, 280, 2149, 284, 9182, 81, 823, 280, 27556, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 3317, 81, 32133, 463, 1206, 370, 630, 32, 32133, 81, 1206, 27, 291, 630, 32, 3317, 81, 32133, 463, 2040, 370, 630, 32, 32133, 81, 2040, 27, 284, 665, 3909, 81, 32133, 26, 784, 30, 636, 30, 2771, 711, 291, 630, 32, 32133, 81, 36419, 77, 426, 79, 280, 2771, 284, 477, 16099, 284, 665, 26600, 81, 1206, 26, 16937, 30, 1541, 30, 786, 711, 291, 442, 646, 20638, 32, 2872, 81, 1251, 26, 16937, 32, 2208, 81, 9003, 26, 853, 5594, 34, 614, 1541, 27, 284, 477, 16099, 284, 665, 26600, 81, 2040, 26, 16937, 30, 1541, 30, 786, 711, 291, 436, 1541, 30, 3361, 328, 20638, 32, 1731, 81, 605, 2009, 1251, 10794, 324, 415, 3361, 44, 400, 442, 1346, 26, 528, 20638, 32, 2872, 81, 605, 26, 16937, 32, 2208, 81, 9003, 26, 853, 5594, 34, 614, 3361, 490, 284, 665, 3185, 81, 9003, 26, 784, 30, 9182, 711, 291, 442, 630, 32, 9003, 81, 823, 32, 2208, 26, 9003, 27, 284, 665, 2530, 26, 784, 30, 9182, 30, 706, 711, 291, 30945, 280, 630, 32, 2208, 81, 9003, 26, 9003, 27, 291, 1541, 3631, 280, 2149, 291, 436, 9182, 328, 30945, 44, 324, 436, 1541, 328, 630, 32, 2872, 81, 605, 26, 9003, 30, 706, 711, 400, 1541, 314, 280, 804, 26, 1251, 27, 400, 415, 1541, 314, 646, 328, 1541, 3631, 44, 528, 1541, 3631, 77, 1251, 314, 79, 280, 1665, 528, 6761, 1541, 284, 665, 2530, 81, 605, 26, 784, 30, 9182, 30, 706, 711, 291, 436, 1541, 30, 3361, 328, 630, 1114, 1731, 81, 605, 26, 605, 711, 324, 2530, 280, 630, 32, 2872, 81, 1251, 26, 9003, 30, 1541, 27, 324, 415, 2530, 44, 400, 2354, 81, 9003, 280, 9182, 32, 1978, 81, 9003, 400, 415, 2354, 81, 9003, 44, 528, 415, 3361, 44, 715, 436, 1541, 328, 630, 32, 2872, 81, 605, 26, 1978, 81, 9003, 30, 3361, 711, 1014, 6761, 1541, 400, 813, 44, 528, 6761, 1541, 324, 415, 3361, 461, 646, 9182, 32, 49099, 610, 630, 32, 9003, 81, 823, 32, 31590, 44, 400, 436, 1541, 328, 630, 32, 2872, 81, 605, 26, 9003, 30, 3361, 711, 528, 6761, 1541, 284, 665, 2530, 81, 1251, 26, 784, 30, 9182, 30, 1541, 711, 291, 2530, 280, 1169, 26, 784, 32, 2872, 81, 7004, 26, 9003, 30, 1541, 490, 291, 415, 2530, 461, 9182, 32, 10407, 44, 324, 2530, 11819, 1169, 26, 784, 32, 2872, 81, 10407, 26, 9003, 30, 1541, 490, 291, 415, 2530, 461, 9182, 32, 98, 40065, 500, 44, 324, 2530, 11819, 1169, 26, 784, 32, 2872, 81, 98, 40065, 500, 26, 9003, 30, 1541, 490, 291, 442, 2530, 284, 665, 2530, 81, 7004, 26, 784, 30, 9182, 30, 1541, 711, 291, 415, 9182, 32, 13074, 44, 324, 6761, 630, 32, 2872, 81, 681, 26, 9003, 32, 13074, 30, 1541, 27, 291, 415, 9182, 32, 314 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 7, 9, 10, 10, 10, 9, 13, 12, 13, 13, 13, 12, 13, 12, 11, 10, 9, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 9, 6, 6, 8, 8, 8, 8, 10, 12, 12, 12, 14, 15, 15, 15, 14, 18, 17, 18, 18, 18, 17, 18, 17, 16, 15, 14, 14, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 10, 10, 10, 9, 10, 9, 9, 9, 7, 7, 11, 10, 10, 12, 13, 12, 8, 8, 9, 11, 10, 10, 10, 11, 9, 9, 9, 14, 13, 14, 14, 13, 12, 12, 10, 10, 12, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 7, 8, 8, 8, 7, 8, 7, 5, 5, 8, 8, 10, 11, 11, 11, 10, 11, 10, 10, 10, 6, 6, 7, 7, 7, 7, 11, 11, 10, 10, 11, 12, 12, 12, 8, 8, 9, 10, 10, 9, 9, 9, 11, 11, 11, 11, 13, 13, 13, 15, 16, 16, 16, 15, 16, 16, 16, 15, 15, 15, 13, 13, 16, 9, 9, 10, 10, 10, 13, 6, 6, 7, 8, 8, 9, 11, 12, 10, 10, 12, 13, 13, 13, 11, 12, 7, 7, 7, 9, 9, 9, 11, 12, 12, 12, 11, 12, 11, 11, 11, 9, 9, 12, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 11, 10, 11, 11, 11, 10, 11, 10, 10, 10, 4, 4, 5, 6, 6, 7, 8, 5, 5, 5, 8, 8, 10, 13, 12, 13, 13, 13, 12, 13, 12, 12, 12, 4, 4, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 8, 8, 10, 13, 12, 13, 13, 13, 13, 13, 12, 13, 12, 12, 12, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 7, 5, 5, 5, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 10, 10, 4, 4, 5, 6, 7 ]

[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 2, 0, 0, 0, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 5, 5, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 7, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 8, 1, 1, 2, 1, 2, 2, 2, 2, 2, 8, 8, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 4, 4, 4, 0, 5, 5, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 9, 1, 1, 2, 1, 2, 2, 2, 2, 2, 9, 9, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 4, 4, 10, 1, 1, 2, 1, 2, 2, 2, 2, 2, 10, 10, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 1, 1, 2 ]

[ 465, 316, 203, 2754, 6020, 1481, 203, 979, 595, 328, 2155, 308, 35, 30, 225, 39, 34, 711, 284, 736, 280, 308, 91, 8088, 91, 29, 35, 4165, 36, 27, 284, 3934, 32, 1689, 26, 575, 27, 203, 589, 438, 81, 22478, 26, 1516, 711, 284, 3649, 3934, 284, 3934, 81, 1657, 280, 2069, 26, 2754, 27, 284, 436, 595, 328, 2155, 26, 34, 30, 3934, 81, 1657, 711, 291, 415, 308, 1516, 610, 3934, 77, 91, 10794, 324, 442, 2933, 291, 4348, 308, 1516, 333, 3934, 77, 91, 10794, 324, 442, 3177, 284, 442, 3177, 203, 998, 280, 225, 34, 203, 88, 850, 280, 2156, 440, 98, 38, 36, 4068, 32, 2760, 392, 313, 100, 657, 203, 979, 1628, 328, 296, 850, 44, 284, 1344, 280, 225, 316, 32, 2998, 440, 22088, 1628, 27, 203, 2999, 81, 878, 280, 1149, 26, 878, 27, 203, 1657, 81, 102, 280, 2069, 26, 2999, 81, 878, 27, 203, 979, 595, 328, 2155, 26, 34, 30, 2069, 81, 102, 711, 284, 415, 3380, 81, 878, 77, 91, 997, 15990, 12573, 7831, 291, 4036, 284, 2152, 280, 428, 655, 26, 85, 27, 436, 281, 328, 3380, 81, 878, 77, 91, 3212, 284, 2069, 81, 2094, 280, 2069, 26, 2094, 27, 284, 415, 308, 297, 81, 22478, 26, 1036, 26, 2094, 27, 429, 308, 40, 38, 319, 2069, 81, 2094, 490, 610, 2933, 711, 291, 2385, 1454, 225, 35, 291, 1459, 3380, 81, 878, 77, 91, 614, 3632, 26, 2094, 27, 429, 308, 40, 38, 319, 2069, 81, 2094, 27, 203, 1216, 313, 2999, 12614, 2385, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 3, 0, 1, 1, 1, 1, 2, 4, 3, 3, 4, 4, 3, 1, 1, 4, 4, 8, 7, 10, 9, 10, 8, 7, 5, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3, 5, 6, 5, 5, 6, 6, 5, 3, 3, 5, 8, 7, 7, 8, 9, 8, 5, 5, 7, 5, 5, 6, 9, 8, 8, 9, 10, 9, 6, 6, 8, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 0, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 4, 6, 7, 6, 9, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 1, 1, 1, 1, 3, 4, 3, 3, 4, 4, 3, 1, 1, 3, 7, 7, 6, 7, 6, 6, 5, 7, 3, 3, 2, 2, 4, 4, 7, 7, 8, 7, 5, 6, 6, 6, 8, 8, 7, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 7, 7, 7, 7, 10, 10, 11, 10, 8, 8, 11, 11, 10, 10, 11, 11, 9, 5, 5, 4, 3, 3, 6, 6, 7, 4, 4, 5, 7, 7, 6, 7, 6, 5, 8, 9, 8, 6, 6, 9, 9, 8, 8, 9, 9, 7, 0, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 3, 1, 1, 1, 3, 3, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 5, 5, 0, 2, 1, 1, 1, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 4, 0, 1, 1, 2, 2, 2, 4, 4, 0, 4, 4, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 6, 6, 6, 6, 3, 6, 6, 6, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 9, 9, 9, 9, 1, 1, 1, 1, 3, 3, 1, 9, 9, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 5, 5, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 3, 2, 3, 5, 5, 0, 0, 0, 0, 1, 1, 1, 5, 5, 3, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 2, 3, 3, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 2, 2, 2, 0, 10, 10, 1, 1, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 11993, 1188, 6204, 30, 10726, 17325, 30, 27087, 30, 14580, 30, 12671, 30, 5648, 30, 2768, 1881, 203, 465, 11685, 203, 1070, 16560, 32, 1262, 32, 4396, 81, 37966, 1188, 10726, 1097, 32734, 30, 10726, 720, 203, 1070, 16560, 32, 1262, 32, 11452, 1188, 5675, 8161, 924, 30, 17874, 924, 30, 6287, 7530, 924, 30, 6287, 27981, 30, 1992, 81, 731, 203, 1070, 16560, 32, 1262, 32, 9247, 1188, 18475, 1397, 203, 1070, 16560, 32, 1262, 32, 9247, 32, 9613, 1188, 10726, 15718, 30, 26303, 203, 1070, 16560, 32, 20898, 32, 1262, 32, 11452, 1188, 20913, 924, 2207, 203, 1070, 2417, 1188, 4549, 619, 617, 3378, 203, 70, 280, 2768, 1881, 463, 70, 683, 203, 24851, 620, 280, 5648, 77, 14489, 9532, 8386, 1397, 77, 14293, 30, 10726, 15718, 614, 394, 30, 14580, 77, 466, 30, 6204, 6137, 6204, 3212, 203, 823, 17347, 7804, 4711, 16796, 11208, 44, 284, 4549, 280, 617, 3378, 284, 665, 1156, 1664, 3207, 784, 30, 2043, 30, 1359, 30, 16614, 30, 409, 15248, 27, 967, 1665, 44, 291, 630, 1114, 1580, 280, 2043, 291, 630, 1114, 6282, 280, 16614, 291, 630, 1114, 17012, 280, 409, 15248, 291, 630, 1114, 1163, 280, 1359, 284, 2498, 665, 622, 26, 291, 630, 30, 291, 2869, 81, 1363, 81, 426, 44, 596, 30, 291, 3501, 81, 8494, 81, 426, 44, 596, 30, 291, 3387, 81, 426, 44, 596, 30, 291, 1115, 5321, 284, 829, 967, 7286, 3378, 32, 4599, 7804, 4711, 2798, 563, 291, 9011, 280, 10306, 32, 3235, 463, 6933, 370, 1665, 27, 16189, 1048, 81, 1110, 280, 301, 1802, 38, 34, 35, 44, 5675, 8161, 924, 30, 225, 38, 34, 38, 44, 6287, 27981, 30, 225, 38, 34, 43, 44, 6287, 7530, 924, 291, 320, 291, 1048, 81, 1110, 32, 1877, 26, 5321, 32, 3235, 463, 731, 81, 1110, 370, 2149, 490, 291, 4125, 81, 1648, 280, 313, 36, 34, 35, 43, 31, 34, 36, 31, 34, 35, 20, 291, 5514, 280, 313, 3164, 33, 1260, 20, 291, 1984, 280, 630, 32, 371, 32, 4519, 710, 965, 785, 16189, 1519, 81, 1643, 81, 8299, 280, 301, 324, 330, 40800, 950, 630, 1114, 6282, 32, 965, 440, 784, 1114, 1163, 32, 10736, 81, 314, 392, 630, 1114, 1163, 32, 10736, 81, 314, 30, 330, 466, 1425, 324, 330, 30015, 950, 630, 1114, 6282, 32, 965, 440, 3142, 81, 1363, 81, 426, 392, 2869, 81, 1363, 81, 426, 30, 330, 466, 1425, 324, 330, 5002, 4599, 558, 950, 630, 1114, 6282, 32, 965, 440, 5002, 81, 8494, 81, 426, 392, 3501, 81, 8494, 81, 426, 30, 330, 466, 1425, 324, 330, 3841, 558, 950, 630, 1114, 6282, 32, 965, 440, 3841, 81, 426, 392, 3387, 81, 426, 30, 330, 466, 1425, 291, 320, 291, 1984, 280, 630, 1114, 1580, 32, 1643, 81, 965, 26, 965, 30, 1115, 983, 81, 1643, 81, 8299, 27, 291, 2467, 81, 5138, 280, 2149, 16189, 2467, 81, 5138, 710, 1237, 31, 1648, 785, 280, 630, 1114, 6282, 32, 1217, 440, 1237, 81, 1648, 392, 4125, 81, 1648, 30, 330, 466, 683, 291, 3338, 81, 5138 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 0, 3, 2, 2, 4, 4, 6, 6, 0, 3, 3, 2, 2, 3, 5, 4, 7, 7, 6, 7, 6, 6, 7, 6, 5, 5, 5, 6, 7, 6, 6, 6, 4, 4, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 5, 4, 4, 4, 6, 6, 5, 5, 4, 4, 4, 6, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 7, 6, 6, 7, 9, 9, 9, 8, 8, 9, 9, 7, 7, 9, 9, 9, 8, 8, 9, 7, 7, 9, 9, 9, 8, 8, 9, 9, 7, 7, 4, 4, 8, 8, 7, 8, 7, 10, 9, 10, 9, 11, 11, 11, 11, 9, 9, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 8, 8, 8, 4, 4, 6, 6, 9, 10, 8, 9, 7, 9, 9, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 10, 10, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 13, 11, 12, 12, 12, 10, 10, 12, 12, 7, 7, 10, 10, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 10, 11, 11, 11, 11, 10, 10, 12, 12, 7, 7, 10, 10, 10, 10, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 10, 11, 11, 11, 11, 10, 10, 12, 12, 7, 7, 10, 10, 10, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 10, 11, 11, 10, 10, 12, 12, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 8, 4, 4, 7, 7, 6, 6, 4, 4, 8, 8, 7, 9, 9, 9, 9, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 8, 9, 9, 8, 8, 10, 10, 4, 4, 7, 7 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 7, 7, 7, 7, 3, 3, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 4, 1, 2, 2, 2, 5, 2, 5, 5, 5, 2, 2, 0, 10, 10, 1, 1, 1, 1, 10, 10, 10, 0, 0, 2, 3, 3, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 6, 6, 0, 2, 0, 0, 6, 6, 0, 2, 0, 0, 2, 6, 6, 0, 2, 0, 0, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 5, 5, 3, 3, 3, 0, 0, 7, 7, 3, 3, 3, 1, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 7, 7, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 3, 3, 2, 2, 2, 0, 0, 0, 5, 5, 2, 2, 2, 2, 7, 7, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 7, 7, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 1, 1, 1, 2, 7, 7, 0, 0, 0, 2, 0, 2, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 3, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 1, 2, 2, 2, 1, 1, 2, 7, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 2, 2, 2, 7, 7, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 2, 7, 7, 0, 0 ]

[ 1070, 37920, 32, 2304, 1188, 7138, 81, 2304, 619, 7138, 203, 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 9042, 12067, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 669, 81, 2592, 26, 103, 25, 6528, 81, 1155, 500, 2408, 370, 330, 23443, 2827, 370, 2855, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 24174, 452, 47, 494, 710, 6528, 32, 63, 352, 2827, 65, 13443, 2188, 744, 47, 1815, 471, 2855, 4986, 81, 1536, 47, 2700, 27, 291, 3082, 32, 669, 81, 2592, 26, 103, 25, 6528, 81, 405, 5360, 2408, 370, 330, 23443, 2827, 370, 2855, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 24174, 452, 47, 494, 710, 6528, 32, 63, 352, 2827, 65, 13443, 2188, 744, 47, 1815, 471, 2855, 4986, 81, 1536, 47, 2700, 27, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 2592, 26, 103, 25, 6528, 81, 1155, 500, 2408, 370, 330, 23443, 2827, 81, 314, 683, 291, 3082, 32, 2560, 81, 2592, 26, 103, 25, 6528, 81, 405, 5360, 2408, 370, 330, 23443, 2827, 81, 314, 683, 284, 4549, 280, 301, 291, 1044, 25, 2393, 32, 1363, 950, 301, 324, 330, 4232, 950, 5053, 1473, 81, 426, 950, 330, 1564, 8885, 324, 1044, 25, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 5665, 950, 330, 1815, 370, 330, 1449, 81, 1322, 950, 330, 42, 34, 45306, 324, 330, 11893, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 46046, 1176, 370, 5518, 5053, 452, 950, 1044, 20, 494, 710, 2393, 32, 7040, 785, 392, 330, 7919, 46819, 1578, 950, 330, 2700, 370, 330, 5006, 950, 330, 1815, 18143, 291, 801, 291, 1044, 25, 2393, 32, 9198, 950, 301, 324, 330, 4232, 950, 5053, 24576, 950, 11608, 103, 25, 1286, 81, 681, 505, 725, 81, 1172, 370, 1044, 25, 1286, 81, 681, 505, 1160, 370, 1044, 25, 10762, 2004, 683, 392, 330, 5665, 81, 36202, 950, 313, 1162, 103, 25, 1286, 81, 681, 370, 1044, 25, 10762, 2004, 1425, 5715, 330, 1473, 81, 426, 950, 330, 7040, 8885, 324, 330, 10762, 2004, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 35, 34, 34, 45306, 324, 330, 1286, 81, 681, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 370, 5518, 5053, 452, 950, 1044, 20, 494, 710, 1286, 2516, 32, 14264, 785, 3612, 471, 324, 1044, 25, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 9, 10, 11, 9, 7, 7, 9, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 9, 10, 11, 9, 7, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 5, 5, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11 ]

[ 0, 0, 1, 2, 0, 0, 0, 0, 3, 3, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 0, 0, 7, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 0, 0, 7, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 5, 1, 2, 5, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 465, 2322, 203, 1070, 29551, 47291, 1188, 3089, 203, 13411, 280, 330, 34, 37, 36, 35, 81, 3798, 81, 1526, 381, 81, 15106, 25, 203, 1746, 81, 13411, 280, 330, 34, 37, 36, 34, 81, 8311, 1125, 81, 15636, 25, 203, 9236, 280, 2322, 32, 12757, 710, 32234, 81, 44756, 785, 203, 589, 10750, 2262, 284, 415, 4706, 646, 328, 3037, 9732, 392, 313, 12191, 18270, 291, 3089, 32, 4526, 463, 10486, 4925, 15873, 31636, 16212, 5503, 12139, 26547, 81, 15636, 81, 1526, 381, 81, 1693, 683, 291, 3089, 32, 4526, 463, 10486, 4925, 9196, 81, 6446, 31636, 16212, 5503, 12139, 26547, 81, 8856, 81, 6446, 81, 1526, 381, 81, 1693, 683, 284, 3089, 32, 4526, 463, 10486, 4925, 12877, 31636, 16212, 5503, 12139, 26547, 81, 8881, 81, 1526, 381, 683, 284, 3089, 32, 4526, 463, 10486, 4925, 12877, 81, 6446, 31636, 16212, 5503, 12139, 26547, 81, 8881, 81, 6446, 81, 1526, 381, 683, 203, 589, 2835, 4944, 2262, 284, 415, 4706, 646, 328, 3037, 9732, 392, 313, 12191, 18270, 291, 3089, 32, 4526, 27265, 324, 23762, 4925, 15873, 8897, 16212, 313, 16671, 81, 15636, 81, 1526, 381, 81, 1693, 20, 324, 6210, 308, 400, 17490, 16753, 9196, 81, 681, 280, 330, 11371, 25, 10813, 528, 2364, 381, 438, 646, 744, 461, 2364, 381, 328, 2726, 2232, 370, 330, 3090, 683, 400, 15734, 528, 2364, 381, 438, 744, 400, 7082, 324, 829, 291, 3330, 657, 291, 3089, 32, 4526, 27265, 324, 23762, 4925, 9196, 81, 6446, 8897, 16212, 313, 16671, 81, 8856, 81, 6446, 81, 1526, 381, 81, 1693, 20, 324, 6210, 308, 400, 17490, 16753, 9196, 81, 681, 280, 330, 11371, 25, 10813, 528, 2364, 381, 438, 646, 744, 461, 2364, 381, 328, 2726, 2232, 370, 330, 3090, 683, 400, 15734, 528, 2364, 381, 438, 744, 400, 7082, 324, 829, 291, 3330, 657, 291, 3089, 32, 4526, 27265, 324, 23762, 4925, 12877, 8897, 16212, 313, 16671, 81, 8881, 81, 1526, 381, 20, 324, 6210, 308, 400, 17490, 16753, 3079, 81, 681, 280, 330, 11371, 25, 10813, 528, 2364, 381, 438, 646, 744, 461, 2364, 381, 328, 2726, 2232, 370, 330, 3090, 683, 400, 15734, 528, 2364, 381, 438, 744, 400, 7082, 324, 829, 291, 3330, 657, 291, 3089, 32, 4526, 27265, 324, 23762, 4925, 12877, 81, 6446, 8897, 16212, 313, 16671, 81, 8881, 81, 6446, 81, 1526, 381, 20, 324, 6210, 308, 400, 17490, 16753, 3079, 81, 681, 280, 330, 11371, 25, 10813, 528, 2364, 381, 438, 646, 744, 461, 2364, 381, 328, 2726, 2232, 370, 330, 3090, 683, 400, 15734, 528, 2364, 381, 438, 744, 400, 7082, 324, 829, 291, 3330, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]

[ 1, 1, 0, 1, 1, 3, 1, 1, 0, 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, 0, 3, 2, 2, 4, 5, 3, 5, 5, 5, 5, 0, 1, 1, 2, 1, 1, 3, 4, 4, 4, 7, 7, 5, 7, 7, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 1, 1, 3, 4, 4, 4, 7, 7, 5, 7, 7, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 5, 5, 2, 5, 5, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 2, 6, 6, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]

[ 589, 2575, 2262, 284, 3649, 24479, 284, 24479, 280, 2107, 83, 370, 330, 84, 370, 330, 85, 370, 330, 86, 370, 330, 87, 370, 330, 88, 370, 400, 330, 89, 370, 330, 90, 370, 330, 91, 370, 330, 92, 370, 330, 93, 370, 330, 94, 370, 400, 330, 95, 370, 330, 96, 370, 330, 97, 370, 330, 98, 370, 330, 99, 370, 330, 100, 370, 400, 330, 101, 370, 330, 102, 370, 330, 103, 370, 330, 104, 370, 330, 105, 370, 330, 106, 370, 400, 330, 107, 370, 330, 108, 785, 284, 3649, 1474, 1261, 284, 1474, 1261, 280, 1605, 284, 11655, 280, 629, 26, 1131, 440, 6545, 225, 35, 372, 9336, 32, 225, 36, 372, 9843, 5327, 96, 2005, 29450, 284, 415, 11655, 610, 225, 35, 44, 291, 9336, 346, 284, 4348, 11655, 610, 225, 36, 44, 291, 3097, 10065, 813, 44, 291, 1459, 313, 3817, 11655, 20, 291, 2575, 346, 203, 589, 9336, 2262, 284, 1474, 280, 5081, 81, 1131, 440, 6545, 312, 802, 372, 9336, 308, 30194, 1755, 48775, 96, 2005, 7788, 284, 7443, 36149, 10210, 280, 629, 26, 1131, 440, 6545, 600, 4991, 645, 225, 35, 31, 36, 39, 436, 322, 5733, 3491, 96, 2005, 29450, 284, 415, 646, 1474, 32, 297, 4893, 2262, 291, 1459, 313, 6574, 6612, 1755, 19400, 1991, 1370, 1474, 3107, 291, 2575, 346, 284, 813, 44, 291, 3097, 284, 415, 7443, 36149, 10210, 333, 225, 35, 556, 7443, 36149, 10210, 848, 225, 36, 39, 44, 291, 1459, 313, 3817, 1451, 32, 5294, 6612, 312, 2080, 5733, 786, 3107, 291, 2575, 346, 284, 813, 44, 291, 3097, 284, 1474, 1261, 280, 1149, 26, 1436, 27, 284, 436, 11692, 328, 1474, 1261, 44, 291, 415, 24479, 32, 1055, 26, 11371, 27, 474, 7443, 36149, 10210, 333, 225, 36, 39, 44, 324, 1474, 1261, 77, 11371, 79, 280, 24479, 77, 33185, 32, 1055, 26, 11371, 27, 474, 7443, 36149, 10210, 79, 291, 813, 44, 324, 11692, 280, 24479, 9357, 33185, 32, 1055, 26, 11371, 27, 474, 7443, 36149, 10210, 27, 904, 225, 36, 39, 79, 284, 1474, 280, 313, 4939, 2524, 26, 1436, 1261, 27, 284, 1459, 313, 10195, 7443, 36149, 318, 1474, 438, 1924, 284, 1459, 1474, 203, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]

[ 1, 1, 2, 1, 1, 3, 2, 2, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 2, 2, 3, 4, 2, 2, 5, 4, 4, 2, 2, 4, 4, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 2, 2, 3, 4, 4, 5, 3, 3, 3, 7, 3, 3, 4, 5, 5, 6, 4, 4, 4, 3, 3, 4, 4, 4, 6, 8, 8, 8, 5, 5, 8, 0, 1, 1, 2, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 2, 2, 5, 5, 4, 4, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 2, 2, 3, 4, 6, 7, 7, 6, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 3, 3, 4, 4, 4, 2, 2, 3, 6, 6, 5, 5, 6, 4, 4, 6, 6, 5, 5, 6, 6, 3, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 3, 3, 4, 4, 4, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3, 4, 3, 3, 3, 5, 9, 10, 9, 10, 9, 7, 7, 8, 8, 6, 6, 7, 7, 5, 5, 5, 10, 9, 10, 9, 8, 8, 9, 13, 12, 13, 12, 13, 12, 10, 10, 11, 11, 9, 5, 5, 6, 6, 6, 9, 9, 10, 16, 15, 16, 15, 16, 15, 13, 13, 14, 14, 12, 11, 11, 12, 12, 10, 2, 2, 4, 4, 8, 7, 6, 7, 7, 6, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 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, 1, 1, 1, 1, 1 ]

[ 0, 0, 2, 0, 0, 0, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 4, 4, 2, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 4, 5, 1, 1, 2, 5, 5, 5, 1, 5, 5, 4, 1, 1, 2, 4, 4, 4, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 4, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 4, 4, 4, 4, 4, 3, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 4, 4, 4, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 5, 5, 5, 3, 5, 5, 5, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 2, 1, 1, 1, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 4, 4, 8, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 316, 203, 1070, 1984, 2208, 1188, 1984, 2208, 30, 3185, 81, 11790, 203, 1070, 7138, 1188, 30784, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 1262, 32, 24894, 1188, 7507, 882, 7063, 30, 7462, 882, 7063, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 3634, 81, 4770, 203, 1070, 7459, 1495, 32, 1199, 32, 3378, 32, 4151, 32, 6932, 1188, 16685, 1176, 203, 823, 8755, 69, 8997, 1572, 26, 3378, 32, 1572, 711, 284, 665, 622, 81, 1217, 81, 470, 26, 784, 711, 291, 22513, 280, 2599, 26, 4077, 69, 8997, 1572, 30, 630, 547, 371, 81, 1217, 81, 470, 346, 291, 22513, 280, 22513, 32, 2029, 26, 2480, 47, 1815, 27, 291, 442, 22513, 203, 823, 35321, 26, 3378, 32, 1243, 711, 284, 1780, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 11771, 47, 1815, 27, 284, 4504, 81, 1311, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 37, 34, 30, 11771, 47, 1815, 27, 284, 23685, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 11771, 47, 1815, 27, 284, 1202, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 30, 11771, 47, 1815, 27, 284, 20206, 483, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 11771, 47, 1815, 27, 284, 8277, 269, 81, 7159, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 11771, 47, 1815, 27, 284, 456, 10352, 1316, 81, 1793, 81, 380, 42869, 280, 4549, 32, 10215, 26, 5006, 47, 1815, 27, 284, 6027, 81, 1204, 280, 4549, 32, 2413, 1176, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 11771, 47, 1815, 27, 284, 1420, 81, 1003, 280, 16685, 1176, 26, 1536, 47, 36, 28, 40, 34, 28, 35, 34, 34, 34, 34, 34, 34, 27, 10065, 32656, 280, 4549, 32, 30400, 26, 1536, 47, 37, 30, 9474, 16682, 4310, 11244, 308, 35, 30, 330, 6877, 24261, 1425, 11244, 308, 36, 30, 330, 21321, 1425, 11244, 308, 37, 30, 330, 5947, 1425, 11244, 308, 38, 30, 330, 15016, 1425, 11244, 308, 39, 30, 330, 6877, 20764, 1425, 9474, 2588, 9474, 27927, 6020, 291, 7507, 882, 7063, 26, 35, 471, 291, 7462, 882, 7063, 26, 39, 471, 284, 8834, 284, 17934, 280, 4549, 32, 39471, 26, 1536, 47, 1815, 27, 284, 4523, 280, 4549, 32, 39471, 26, 1536, 47, 1815, 27, 284, 4684, 280, 4549, 32, 1572, 346, 284, 4523, 81, 5740, 280, 8755, 69, 8997, 1572, 346, 284, 665, 4131, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 415, 646, 630, 32, 4021, 81, 1311, 461, 630, 32, 1311, 44, 324, 630, 32, 4021, 81, 1311, 280, 630, 32, 1311, 6448, 37, 34, 10056, 291, 2599, 26, 21797, 30, 630, 547, 2853, 2740, 1132, 30, 1115, 5321, 27, 284, 477, 2433, 284, 665, 18574, 26, 784, 711, 291, 442, 630, 32, 1945, 81, 1003, 32, 2999, 81, 6360, 346, 319, 225, 35, 34, 34, 34, 284 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 8, 4, 4, 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, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 6, 7, 8, 6, 2, 2, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 6, 8, 7, 10, 9, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 6, 6, 7, 8, 8, 10, 9, 9, 11, 11, 11, 8, 8, 10, 9, 9, 11, 11, 8, 8, 10, 9, 9, 11, 11, 8, 8, 10, 9, 9, 11, 11, 8, 8, 10, 9, 9, 11, 11, 11, 8, 8, 6, 6, 7, 8, 8, 10, 10, 10, 11, 10, 8, 8, 10, 10, 10, 11, 10, 8, 8, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 8, 9, 9, 9, 6, 6, 7, 8, 5, 5, 5, 9, 10, 10, 10, 8, 8, 10, 11, 9, 12, 12, 10, 4, 4, 9, 10, 9, 9, 9, 8, 7, 9, 7, 7, 9, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 10, 11, 11, 11, 9, 10, 10, 10, 9, 7, 7, 8, 8, 8, 8, 2 ]

[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 4, 4, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 1, 6, 1, 8, 7, 7, 0, 0, 8, 8, 1, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 0, 9, 9, 2, 0, 1, 2, 2, 9, 9, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 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, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 3, 3, 1, 2, 2, 2, 1, 5, 5, 1, 2, 2, 2, 1, 7, 7, 1, 2, 2, 2, 1, 9, 9, 1, 1, 2, 2, 2, 1, 1, 5, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 14, 2, 1, 2, 2, 1, 2, 2, 1, 2, 14, 14, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 15, 15, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 4 ]

[ 42112, 958, 7680, 373, 816, 84, 6053, 30, 2458, 6053, 8463, 30, 39362, 36, 30, 268, 30, 2458, 6053, 2796, 203, 1070, 39231, 1188, 39231, 203, 1070, 1984, 2208, 1188, 3185, 81, 99, 2003, 203, 465, 5237, 203, 465, 2361, 203, 21, 1984, 47, 3731, 32, 6118, 77, 34, 79, 203, 21, 2887, 47, 410, 26, 3731, 32, 6118, 77, 35, 1130, 203, 589, 1149, 81, 6956, 2262, 284, 296, 47, 39362, 36, 32, 305, 33786, 463, 525, 555, 1499, 32, 98, 16946, 32, 7598, 33, 21398, 683, 284, 25714, 47, 1467, 19959, 32101, 26, 88, 32, 850, 1157, 284, 281, 332, 94, 47, 591, 32, 18889, 463, 374, 370, 12157, 823, 11501, 3153, 31, 668, 31, 1094, 18143, 284, 540, 591, 6020, 26, 106, 32, 83, 710, 823, 2188, 816, 32, 83, 710, 1311, 3490, 436, 816, 328, 281, 332, 94, 79, 284, 14821, 19066, 284, 436, 47362, 30, 878, 328, 540, 591, 44, 291, 4791, 47, 591, 32, 1809, 463, 1275, 370, 12157, 3825, 950, 878, 1748, 710, 1617, 785, 291, 1149, 81, 1094, 47, 2458, 6053, 8463, 32, 12861, 26, 1172, 47, 878, 30, 12301, 1658, 47, 1275, 27, 291, 1149, 81, 1094, 32, 17514, 463, 20331, 502, 81, 893, 370, 1275, 27, 291, 1984, 1057, 109, 34, 37613, 1141, 47, 14824, 24, 3153, 1279, 35, 16805, 1643, 2176, 965, 30, 30044, 27, 291, 438, 81, 6175, 47, 1815, 291, 14821, 32, 1689, 1162, 965, 30, 668, 81, 1094, 30, 297, 81, 6175, 490, 284, 816, 84, 6053, 2796, 32, 669, 4542, 3637, 2176, 2956, 30, 14824, 30, 1657, 26, 14824, 490, 284, 588, 106, 261, 588, 264, 816, 84, 6053, 2796, 32, 416, 1419, 4542, 2176, 2956, 27, 225, 203, 589, 1149, 81, 11966, 26, 3153, 711, 284, 296, 47, 39362, 36, 32, 305, 33786, 463, 525, 555, 1499, 32, 98, 16946, 32, 7598, 33, 21398, 26565, 3153, 27, 284, 25714, 47, 1467, 19959, 32101, 26, 88, 32, 850, 1157, 284, 354, 805, 362, 47, 591, 32, 18889, 463, 83, 370, 12157, 823, 11501, 5000, 31, 668, 31, 1094, 31, 3369, 18143, 284, 540, 591, 6020, 26, 106, 710, 6928, 8150, 35, 23751, 106, 32, 1275, 30, 106, 32, 1809, 3353, 20862, 463, 507, 370, 12157, 823, 11501, 9732, 31, 1338, 6040, 490, 436, 816, 328, 354, 805, 362, 79, 284, 14821, 19066, 284, 436, 8355, 314, 30, 893, 30, 9732, 1338, 328, 540, 591, 44, 291, 4791, 47, 893, 710, 1617, 785, 291, 8355, 426, 47, 893, 710, 3825, 785, 291, 36935, 47, 9732, 1338, 32, 1809, 463, 662, 370, 12157, 823, 11501, 14987, 31, 426, 6040, 547, 878, 291, 3340, 520, 1657, 859, 47, 9732, 1338, 32, 1809, 463, 662, 370, 12157, 823, 11501, 16607, 31, 2171, 6040, 547, 878, 291, 16962, 426, 47, 103, 15907, 34, 40602, 35, 40602, 36, 16805, 1643, 26, 25465, 30, 5978, 426, 30, 348, 520, 1657, 859, 27, 291, 1149, 81, 1094, 47, 2458, 6053, 8463, 32, 12861, 26, 1172, 47, 25190, 426, 30, 12301, 1658, 47, 1275, 27, 291, 1149, 81, 1094, 32, 17514, 463, 20331, 502, 81, 893 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 3, 3, 1, 3, 3, 3, 3, 3, 1, 3, 3, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 5, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 5, 5, 6, 6, 6, 6, 6, 9, 9, 8, 2, 2, 5, 5, 5, 7, 7, 7, 6, 8, 8, 7, 10, 8, 10, 10, 10, 10, 10, 7, 2, 2, 5, 4, 5, 6, 9, 8, 7, 9, 7, 6, 9, 8, 7, 9, 7, 6, 6, 6, 6, 7, 7, 7, 2, 5, 5, 2, 3, 5, 5, 5, 3, 3, 4, 4, 3, 7, 7, 10, 10, 10, 9, 11, 11, 10, 13, 13, 12, 10, 7, 9, 9, 4, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 8, 8, 4, 7, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 9, 9, 9, 4, 7, 7, 7, 7, 7, 4, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 2, 2, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 7, 7, 8, 7, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 7, 7, 7, 7, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 2, 5, 5, 6, 6, 6, 6, 6, 9, 9, 8, 2, 2, 5, 5, 5, 7, 7, 7, 6, 8, 8, 7, 10, 8, 10, 10, 10, 10, 10, 10, 10, 7, 2, 2, 5, 4, 5, 6, 8, 10, 8, 7, 7, 6, 8, 8, 8, 6, 9, 9, 9, 9, 8, 10, 10, 9, 12, 10, 12, 12, 12, 12, 8, 6, 6, 6, 6, 7, 7, 7, 2, 5, 5, 2, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 3, 7, 7, 8, 7, 9, 9, 4, 7, 7, 7, 8, 7, 9, 9, 4, 7, 7, 10, 10, 10, 10, 9, 11, 11, 10, 13, 11, 13, 13, 13, 13, 9, 8, 4, 7, 7, 7, 7, 7, 10, 10, 10, 10, 9, 11, 11, 10, 13, 11, 13, 13, 13, 13, 9, 8, 4, 7, 7, 7, 6, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 8, 8, 8, 8, 8, 7, 9, 9, 9 ]

[ -1, -1, 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, 2, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 4, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 3, 4, 4, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 3, 1, 3, 2, 2, 2, 2, 3, 3, 3, 4, 0, 2, 4, 5, 0, 0, 2, 5, 5, 3, 3, 5, 0, 0, 0, 0, 2, 1, 1, 2, 3, 1, 2, 2, 3, 2, 1, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 5, 0, 0, 0, 0, 2, 5, 0, 0, 2, 1, 1, 1, 3, 3, 3, 3, 5, 5, 5, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 4, 4, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 3, 3, 4, 0, 2, 4, 5, 0, 0, 0, 2, 2, 4, 4, 5, 5, 3, 3, 5, 0, 0, 0, 2, 1, 2, 5, 0, 0, 0, 0, 2, 1, 2, 5, 0, 0, 0, 0, 0, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 2, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 3, 3, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 8482, 36, 6800, 32, 2304, 1188, 1118, 9337, 203, 465, 14785, 32, 8524, 32, 104, 35, 619, 5239, 203, 823, 2108, 68, 644, 300, 36, 9141, 26, 4213, 32, 858, 32, 7233, 711, 334, 665, 894, 68, 644, 300, 36, 9594, 1578, 26, 784, 711, 284, 420, 19107, 27481, 280, 2065, 32, 955, 21145, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 30, 225, 35, 30, 225, 40, 30, 225, 41, 30, 225, 34, 614, 6029, 428, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 30, 225, 35, 30, 225, 40, 30, 225, 42, 30, 225, 41, 13138, 284, 10647, 280, 2065, 32, 955, 21145, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 30, 225, 35, 30, 225, 40, 30, 225, 41, 30, 225, 34, 614, 6029, 428, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 30, 225, 35, 30, 225, 40, 30, 225, 42, 30, 225, 41, 13138, 284, 630, 32, 862, 1934, 4173, 26, 19283, 32, 19283, 81, 96, 26, 90, 19107, 27481, 30, 10647, 471, 225, 35, 32, 34, 30, 35012, 47, 35, 87, 31, 34, 37, 27, 334, 665, 894, 68, 644, 300, 36, 1726, 11941, 26, 784, 711, 284, 420, 19107, 27481, 280, 2065, 32, 955, 21145, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 30, 225, 35, 30, 225, 40, 30, 225, 41, 30, 225, 34, 614, 6029, 428, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 30, 225, 35, 30, 225, 40, 30, 225, 42, 30, 225, 41, 13138, 284, 10647, 280, 2065, 32, 955, 21145, 42, 30, 225, 43, 30, 225, 35, 34, 30, 225, 35, 35, 30, 225, 35, 36, 30, 225, 35, 37, 30, 225, 35, 38, 30, 225, 35, 39, 30, 225, 35, 40, 30, 225, 35, 41, 614, 6029, 428, 43, 30, 225, 35, 34, 30, 225, 35, 35, 30, 225, 35, 36, 30, 225, 35, 37, 30, 225, 35, 38, 30, 225, 35, 39, 30, 225, 35, 40, 30, 225, 35, 41, 30, 225, 34, 13138, 284, 630, 32, 5299, 26, 19283, 32, 19283, 81, 96, 26, 90, 19107, 27481, 30, 10647, 471, 225, 34, 32, 34, 27, 334, 665, 894, 68, 644, 300, 36, 12221, 31057, 26, 784, 711, 284, 420, 19107, 27481, 280, 2065, 32, 955, 21145, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 30, 225, 35, 30, 225, 40, 30, 225, 41, 30, 225, 34, 614, 6029, 428, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 30, 225, 35, 30, 225, 40, 30, 225, 42, 30, 225, 41, 13138, 284, 10647, 280, 2065, 32, 955, 21145, 35, 30, 225, 43, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 30, 225 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 4, 4, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 10, 10, 9, 10, 10, 10, 9, 9, 9, 7, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 4, 4, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 9, 9, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 10, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 10, 10, 10, 9, 9, 9, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 4, 4, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 2, 0, 4, 4, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 13, 1, 1, 15, 1, 1, 17, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 3, 9, 3, 3, 11, 3, 3, 13, 3, 3, 15, 3, 3, 17, 3, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 13, 1, 1, 15, 1, 1, 17, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 3, 9, 3, 3, 11, 3, 3, 13, 3, 3, 15, 3, 3, 17, 3, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 13, 1, 1, 15, 1, 1, 17, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 3, 9, 3, 3, 11, 3, 3, 13, 3, 3, 15, 3, 3, 17, 3, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 1, 13, 13, 1, 1, 15, 15, 1, 1, 17, 17, 1, 1, 19, 19, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 5, 5, 3, 3, 7, 7, 3, 3, 9, 9, 3, 3, 11, 11, 3, 3, 13, 13, 3, 3, 15, 15, 3, 3, 17, 17, 3, 3, 19, 3, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 13, 1, 1, 15, 1, 1, 17, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 3, 9, 3, 3, 11, 3, 3, 13, 3, 3, 15, 3, 3, 17, 3, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1 ]

[ 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 203, 81, 496, 81, 1160, 280, 1665, 203, 1270, 44, 284, 645, 8527, 32, 2304, 32, 1647, 81, 6696, 1188, 1188, 81, 800, 203, 7343, 29986, 44, 284, 645, 8527, 32, 2304, 32, 1647, 81, 6696, 1188, 1188, 81, 1170, 81, 983, 619, 1188, 81, 800, 261, 203, 589, 622, 81, 496, 81, 1160, 2262, 284, 3649, 617, 496, 81, 1160, 284, 415, 646, 617, 496, 81, 1160, 44, 291, 1596, 44, 324, 645, 8527, 32, 12023, 32, 2393, 1188, 622, 81, 496, 81, 1160, 291, 2940, 29986, 44, 324, 645, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 291, 813, 44, 324, 2680, 280, 622, 81, 496, 81, 1160, 346, 291, 617, 496, 81, 1160, 280, 2680, 284, 442, 617, 496, 81, 1160, 203, 9036, 81, 4975, 81, 14483, 280, 18623, 26, 3550, 30, 330, 9036, 81, 4975, 81, 14483, 370, 330, 2393, 32, 1240, 683, 203, 1270, 44, 284, 10757, 81, 4975, 81, 14483, 81, 2474, 280, 10757, 81, 4975, 81, 14483, 32, 2998, 3949, 11968, 35, 79, 203, 7343, 44121, 44, 284, 3636, 19444, 462, 631, 30096, 26, 291, 313, 5790, 1256, 1542, 30267, 3191, 1401, 372, 526, 328, 322, 2179, 313, 291, 5335, 725, 81, 1172, 32, 1160, 81, 426, 2473, 2296, 1643, 26, 9036, 81, 4975, 81, 14483, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 5, 5, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 4, 5, 6, 5, 6, 6, 6, 4, 4, 7, 7, 7, 7, 5, 5, 6, 6, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 4, 2, 2, 3, 4, 5, 5, 5, 3, 3, 3, 5, 5, 5, 7, 8, 9, 8, 9, 7, 7, 9, 9, 9, 9, 5, 5, 6, 6, 6, 6, 8, 9, 10, 9, 10, 9, 10, 8, 8, 5, 5, 6, 6, 6, 9, 9, 11, 11, 11, 11, 11, 4, 4, 7, 7, 7, 6, 6, 2, 2, 3, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 8, 7, 8, 7, 9, 6, 5, 1, 2, 2, 2, 2, 2, 4, 6, 6, 6, 6, 6, 6, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 8, 9, 9, 9, 9, 9, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 6, 3, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 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 ]

[ 1070, 36387, 32, 4351, 39, 37, 32, 4133, 1188, 6287, 3157, 10527, 203, 1070, 36387, 32, 4351, 39, 37, 32, 1517, 1188, 5400, 203, 465, 36387, 32, 4351, 39, 37, 619, 540, 39, 37, 203, 1070, 13625, 1188, 636, 41766, 203, 465, 16672, 203, 465, 1133, 203, 465, 14465, 203, 17450, 3157, 280, 636, 41766, 440, 17450, 3157, 392, 313, 19305, 6161, 786, 657, 203, 823, 7051, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 29065, 711, 291, 415, 646, 636, 44, 324, 3636, 3268, 440, 1564, 636, 2298, 526, 3943, 7144, 291, 415, 646, 29065, 44, 324, 3636, 3268, 440, 1564, 2484, 2298, 526, 3943, 7144, 291, 630, 32, 426, 280, 596, 26, 426, 27, 291, 630, 32, 15946, 280, 629, 26, 15946, 27, 291, 415, 2069, 26, 784, 32, 28862, 81, 928, 7486, 547, 2998, 440, 1924, 490, 863, 225, 38, 44, 324, 3636, 3268, 440, 3817, 2350, 30, 4304, 932, 2612, 44, 904, 101, 20, 904, 630, 27, 284, 665, 4250, 26, 784, 30, 4250, 711, 291, 540, 280, 1605, 291, 436, 1256, 328, 4250, 44, 324, 415, 630, 328, 1256, 32, 6332, 44, 400, 540, 32, 1689, 26, 496, 27, 291, 442, 540, 284, 665, 22329, 81, 11541, 26, 784, 30, 938, 3434, 431, 81, 4116, 30, 4250, 711, 291, 9212, 280, 1605, 291, 44566, 81, 928, 280, 630, 32, 28862, 81, 928, 26, 3707, 27, 291, 48540, 6161, 280, 5461, 101, 32, 1363, 15231, 101, 20, 904, 308, 784, 32, 426, 30, 938, 3434, 431, 81, 4116, 27, 291, 9212, 32, 1689, 26, 17450, 3157, 26, 19305, 6161, 32, 5729, 1026, 44566, 81, 928, 490, 291, 48540, 6161, 280, 5461, 101, 32, 15946, 15231, 101, 20, 904, 308, 784, 32, 15946, 30, 938, 3434, 431, 81, 4116, 27, 291, 9212, 32, 1689, 26, 17450, 3157, 26, 19305, 6161, 32, 5729, 1026, 44566, 81, 928, 490, 291, 442, 9212, 284, 477, 17614, 284, 665, 3185, 81, 28862, 81, 928, 26, 6933, 30, 1628, 711, 291, 8710, 280, 1628, 32, 2998, 17919, 657, 291, 415, 2069, 26, 10031, 27, 863, 225, 37, 461, 2069, 26, 10031, 27, 863, 225, 38, 44, 324, 3636, 3268, 440, 3817, 2350, 44566, 1628, 44, 904, 101, 20, 904, 1628, 27, 291, 636, 280, 8710, 77, 34, 79, 291, 29065, 280, 8710, 77, 36, 79, 291, 952, 101, 280, 1605, 291, 415, 2069, 26, 10031, 27, 610, 225, 38, 44, 324, 952, 101, 280, 8710, 77, 37, 997, 2998, 45830, 291, 442, 7051, 26, 426, 30, 29065, 471, 952, 101, 284, 665, 44566, 81, 928, 26, 784, 30, 4250, 711, 291, 952, 101, 280, 3003, 2296, 2524, 26, 11939, 26, 1110, 26, 5962, 1044, 44, 1044, 32, 699, 30, 630, 32, 3707, 26, 3707, 7748, 291, 442, 5461, 101, 44, 106, 6069, 86, 6069, 101, 20, 904, 308, 784, 32, 426, 30, 630, 32, 15946, 30, 952, 101, 27, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 442, 630, 32, 426, 610, 1604, 32, 426, 461, 630, 32, 15946, 610, 1604, 32, 15946, 284, 665, 1156, 941, 3207 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 2, 2, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 5, 8, 13, 12, 13, 13, 13, 12, 12, 11, 10, 12, 10, 6, 6, 7, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 8, 9, 10, 7, 7, 7, 11, 12, 11, 12, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 8, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 12, 12, 11, 12, 11, 9, 10, 10, 9, 4, 4, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 10, 9, 10, 8, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 12, 12, 11, 12, 11, 9, 10, 10, 9, 4, 4, 5, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 9, 10, 9, 11, 5, 5, 6, 10, 11, 10, 8, 8, 9, 7, 7, 10, 11, 10, 8, 8, 9, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 5, 5, 7, 7, 8, 9, 8, 5, 5, 7, 7, 8, 9, 8, 5, 5, 8, 7, 7, 5, 5, 6, 9, 10, 9, 7, 7, 8, 6, 6, 6, 10, 9, 9, 12, 13, 12, 12, 11, 5, 5, 6, 9, 10, 9, 9, 9, 7, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 10, 9, 8, 10, 10, 12, 12, 13, 13, 13, 13, 14, 15, 12, 12, 14, 15, 14, 15, 14, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 7, 8, 9, 6, 6, 8, 9, 7, 7, 8, 9, 2, 2, 3, 4, 4 ]

[ 0, 0, 1, 2, 2, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 4, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 8, 8, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 4, 4, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 3, 3, 3, 3, 2, 4, 4, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 3, 3, 3, 3, 2, 4, 4, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 3, 3, 1, 4, 4, 6, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 4, 4, 5, 1, 1, 1, 1, 1, 2, 5, 5, 5, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 3, 2, 1, 1, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 5, 2, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 4, 4, 6, 1, 1 ]

[ 1070, 540, 26266, 4891, 32, 4338, 1188, 319, 203, 50, 9715, 26, 17570, 829, 203, 589, 1650, 26, 1357, 711, 284, 907, 280, 3177, 284, 4159, 280, 4451, 26, 4451, 26, 90, 37, 463, 1612, 36408, 21180, 284, 484, 599, 280, 2234, 26, 636, 1057, 17089, 418, 4891, 33, 13229, 370, 1411, 47, 3705, 30, 400, 2125, 32601, 284, 484, 599, 32, 669, 26, 291, 1600, 470, 26, 324, 1509, 81, 3864, 26, 426, 1057, 17089, 418, 4891, 31, 13229, 81, 314, 370, 786, 1057, 34, 34, 1425, 324, 1509, 81, 878, 463, 17089, 418, 4891, 31, 13229, 81, 878, 370, 330, 1031, 5692, 370, 786, 1057, 1031, 1600, 786, 1425, 324, 1509, 81, 878, 463, 17089, 418, 4891, 31, 13229, 81, 1574, 370, 330, 5972, 3319, 5692, 370, 786, 1057, 1031, 1600, 907, 370, 400, 907, 47, 1815, 471, 324, 1509, 81, 9599, 463, 17089, 418, 4891, 31, 13229, 81, 9599, 370, 330, 1031, 21694, 370, 786, 1057, 51, 1344, 328, 1344, 5951, 1425, 324, 1509, 81, 1613, 463, 17089, 418, 4891, 31, 13229, 81, 1613, 370, 330, 1908, 370, 786, 47, 36, 30, 1802, 202, 2184, 280, 428, 308, 35, 30, 330, 5482, 35, 1425, 308, 36, 30, 330, 5482, 36, 1425, 308, 37, 30, 330, 5482, 37, 683, 25859, 324, 1509, 81, 1613, 463, 17089, 418, 4891, 31, 13229, 81, 1613, 31, 6844, 370, 330, 1908, 308, 11726, 7243, 786, 6020, 36, 30, 37, 614, 1802, 202, 2184, 280, 428, 308, 35, 30, 330, 5482, 35, 1425, 308, 36, 30, 330, 5482, 36, 1425, 308, 37, 30, 330, 5482, 37, 683, 2505, 4609, 47, 1815, 471, 324, 1509, 81, 1613, 463, 17089, 418, 4891, 31, 13229, 81, 1613, 36, 370, 330, 1908, 36, 308, 11726, 7243, 786, 6020, 36, 30, 38, 614, 1802, 202, 2184, 280, 428, 308, 35, 30, 330, 5482, 35, 1425, 308, 36, 30, 330, 5482, 36, 1425, 308, 37, 30, 330, 5482, 37, 1425, 308, 38, 30, 330, 5482, 38, 1425, 308, 39, 30, 330, 5482, 39, 683, 2505, 4609, 47, 1815, 471, 324, 1509, 81, 1613, 463, 17089, 418, 4891, 31, 13229, 81, 1613, 36, 31, 6825, 370, 330, 1908, 36, 308, 24396, 4294, 27, 1425, 324, 1505, 12936, 463, 17089, 418, 4891, 31, 13229, 81, 7905, 307, 370, 330, 2140, 9975, 307, 370, 1802, 202, 12936, 280, 428, 2726, 35, 370, 330, 1705, 225, 35, 370, 2933, 471, 2726, 36, 370, 330, 1705, 225, 36, 370, 3177, 471, 2726, 37, 370, 330, 1705, 225, 37, 370, 2933, 45516, 324, 6465, 81, 1632, 1026, 291, 829, 284, 829, 284, 4159, 32, 669, 26, 4451, 26, 87, 599, 27, 829, 284, 1340, 280, 5881, 203, 11802, 17089, 418, 4891, 31, 13229, 81, 1613, 36, 1814, 1613, 36, 473, 203, 11802, 17089, 418, 4891, 31, 13229, 81, 1613, 36, 31, 6825, 1814, 1613, 36, 1371, 334, 5674, 44, 330, 1908, 645, 43900, 370, 334, 9340, 1612, 2380, 44, 225, 37, 30, 334, 20297, 44, 301, 324, 1984, 44, 5461, 101, 392, 324, 14980, 44, 330, 1260, 370, 324, 706, 44, 667, 26, 2132, 27, 301, 442 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 3, 3, 2, 3, 1, 1, 0, 2, 4, 4, 4, 4, 1, 2, 2, 3, 4, 3, 2, 2, 5, 5, 3, 3, 5, 5, 7, 7, 9, 11, 11, 11, 13, 13, 13, 3, 3, 6, 5, 5, 7, 7, 8, 10, 10, 10, 10, 10, 10, 7, 8, 9, 7, 7, 7, 8, 3, 3, 7, 6, 7, 6, 6, 6, 8, 8, 8, 8, 10, 10, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 11, 13, 13, 13, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 10, 11, 13, 13, 13, 13, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 10, 11, 13, 13, 13, 13, 10, 10, 11, 12, 10, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 10, 11, 13, 13, 13, 13, 13, 13, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 10, 11, 12, 10, 10, 10, 12, 11, 11, 12, 14, 13, 13, 15, 15, 15, 12, 14, 13, 13, 15, 15, 15, 12, 14, 13, 13, 15, 15, 15, 12, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 10, 11, 13, 12, 13, 12, 10, 10, 12, 11, 11, 12, 14, 13, 13, 15, 15, 15, 12, 14, 13, 13, 15, 15, 15, 12, 14, 13, 13, 15, 15, 15, 12, 10, 11, 12, 10, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 10, 11, 13, 12, 13, 12, 10, 10, 12, 11, 11, 12, 14, 13, 13, 15, 15, 15, 12, 14, 13, 13, 15, 15, 15, 12, 14, 13, 13, 15, 15, 15, 12, 14, 13, 13, 15, 15, 15, 12, 14, 13, 13, 15, 15, 15, 12, 10, 11, 12, 10, 8, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 8, 8, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 10, 10, 12, 11, 11, 12, 15, 15, 13, 15, 15, 15, 15, 13, 13, 12, 15, 15, 13, 15, 15, 15, 15, 13, 13, 12, 15, 15, 13, 15, 15, 15, 15, 13, 13, 8, 8, 10, 10, 10, 8, 8, 6, 6, 3, 3, 6, 7, 6, 6, 8, 9, 9, 8, 6, 3, 3, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]

[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 1, 5, 4, 4, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 7, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 2, 1, 1, 1, 0, 7, 7, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 2, 2, 1, 5, 5, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 5, 1, 2, 3, 2, 1, 1, 0, 7, 7, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 2, 2, 1, 5, 5, 1, 1, 2, 2, 1, 9, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 5, 1, 2, 3, 2, 1, 1, 0, 7, 7, 2, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 2, 2, 1, 5, 5, 1, 1, 2, 2, 1, 7, 7, 1, 1, 2, 2, 1, 9, 9, 1, 1, 2, 2, 1, 9, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 5, 5, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 3, 1, 1, 1, 2, 3, 3, 2, 1, 2, 5, 1, 1, 1, 2, 5, 5, 1, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 465, 296, 31501, 203, 465, 296, 31501, 32, 10514, 203, 465, 15798, 203, 1070, 296, 31501, 32, 1262, 32, 1637, 32, 496, 81, 4642, 32, 496, 81, 4642, 1188, 1015, 30, 3345, 30, 622, 81, 4642, 30, 4233, 81, 268, 17530, 203, 858, 81, 11541, 280, 296, 31501, 32, 371, 81, 858, 81, 11541, 463, 14845, 6401, 683, 203, 858, 81, 10950, 280, 3037, 1240, 1446, 203, 823, 2108, 14845, 3160, 26, 18986, 32, 7233, 711, 203, 202, 589, 14553, 26, 784, 711, 357, 202, 48020, 32, 1199, 32, 2602, 27265, 1877, 4878, 4216, 22610, 739, 529, 32355, 82, 47, 34, 2154, 2935, 1057, 14845, 6401, 25, 355, 202, 363, 415, 1693, 26, 13163, 2649, 30, 34, 11096, 34, 41135, 357, 202, 48020, 32, 1199, 32, 2602, 27265, 1877, 529, 3007, 14845, 6401, 82, 739, 7423, 1057, 858, 36, 50, 2763, 32, 508, 25, 355, 202, 2767, 636, 40547, 858, 31, 5224, 31, 1526, 25, 41135, 357, 202, 48020, 32, 3815, 81, 2613, 26, 27357, 347, 14845, 6401, 657, 357, 202, 496, 280, 296, 31501, 32, 371, 81, 1427, 440, 1240, 392, 313, 858, 35, 50, 2763, 32, 508, 657, 357, 202, 496, 32, 669, 81, 9715, 440, 22965, 10702, 657, 357, 202, 496, 280, 296, 31501, 32, 371, 81, 1427, 440, 1240, 392, 313, 858, 36, 50, 2763, 32, 508, 657, 357, 202, 496, 32, 669, 81, 9715, 440, 52, 4073, 657, 357, 202, 48020, 32, 470, 81, 496, 440, 858, 35, 50, 2763, 32, 508, 657, 203, 202, 589, 28921, 26, 784, 711, 357, 202, 48020, 32, 470, 81, 496, 440, 32222, 657, 357, 202, 3815, 81, 268, 17530, 440, 14845, 9953, 657, 357, 202, 3815, 81, 268, 17530, 440, 14845, 6401, 657, 203, 202, 589, 894, 81, 6390, 81, 9198, 26, 784, 711, 357, 202, 1526, 280, 296, 31501, 32, 371, 81, 1427, 440, 14845, 6401, 392, 7286, 858, 31, 5224, 31, 1526, 657, 357, 202, 784, 32, 6549, 26, 1526, 32, 2040, 81, 9198, 440, 850, 2131, 203, 202, 589, 894, 81, 33994, 81, 266, 81, 1427, 26, 784, 711, 357, 202, 48020, 32, 10514, 32, 669, 81, 1536, 440, 14845, 9953, 392, 7286, 1006, 20019, 9953, 225, 35, 392, 313, 858, 35, 50, 2763, 32, 508, 392, 355, 202, 20, 30751, 657, 357, 202, 1526, 280, 296, 31501, 32, 371, 81, 1427, 440, 14845, 6401, 392, 7286, 858, 31, 5224, 31, 1526, 657, 357, 202, 784, 32, 14846, 26, 1526, 32, 2040, 81, 9198, 440, 850, 2131, 357, 202, 1526, 35, 280, 296, 31501, 32, 371, 81, 1427, 440, 14845, 6401, 392, 7286, 858, 31, 5224, 31, 1526, 31, 35, 657, 357, 202, 784, 32, 6549, 26, 1526, 35, 32, 2040, 81, 9198, 440, 850, 2131, 203, 202, 589, 894, 81, 33994, 81, 266, 81, 3734, 26, 784, 711, 357, 202, 48020, 32, 10514, 32, 669, 81, 1536, 440, 14845, 9953, 392, 7286, 1006, 20019, 9953, 225, 35, 392, 313, 858, 35, 50, 2763, 32, 508, 392, 355, 202, 20, 30751, 657, 357, 202, 4243, 280, 428, 86, 32, 426, 436, 343, 328, 296, 31501, 32, 371 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 3, 4, 5, 4, 3, 3, 9, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 9, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 8, 7, 8, 8, 8, 7, 9, 8, 10, 10, 10, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 7, 8, 8, 8, 7, 9, 9, 9, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 7, 8, 8, 8, 7, 9, 9, 9, 4, 4, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 3, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 7, 9, 9, 4, 4, 7, 7, 7, 7, 7, 9, 9, 9, 4, 4, 7, 7, 7, 7, 7, 9, 9, 9, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 4, 4, 8, 7, 8, 7, 10, 9, 10, 10, 10, 9, 11, 11, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 4, 4, 8, 7, 8, 7, 10, 9, 10, 10, 10, 9, 11, 11, 4, 4, 7, 7, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 7, 8, 7, 10, 10, 9, 10, 10, 10, 9, 11, 11, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 4, 4, 7, 6, 6, 9, 8, 9, 7, 8, 8, 8, 11, 10, 11 ]

[ 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 6, 6, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2 ]

[ 9592, 203, 225, 12684, 5011, 8981, 2245, 8443, 203, 9592, 203, 465, 39032, 22136, 32, 966, 8132, 619, 298, 8132, 203, 465, 39032, 22136, 203, 465, 5237, 203, 465, 22045, 36, 203, 465, 2361, 203, 465, 316, 203, 465, 1933, 203, 465, 7138, 203, 465, 1133, 203, 465, 14461, 203, 1070, 3185, 770, 1188, 3185, 1547, 203, 1070, 622, 605, 1188, 28, 203, 1070, 2519, 1934, 1188, 28, 203, 21, 26219, 7837, 19752, 6017, 234, 10775, 2653, 32, 944, 81, 496, 2665, 463, 21376, 401, 33, 2665, 33, 2665, 81, 12505, 32, 2760, 683, 203, 4441, 22136, 32, 944, 81, 496, 2665, 463, 21376, 401, 33, 2665, 33, 2665, 81, 770, 32, 2760, 683, 203, 4441, 22136, 32, 944, 81, 496, 2665, 463, 21376, 401, 33, 2665, 33, 2665, 36, 32, 2760, 683, 203, 21, 39032, 22136, 32, 944, 81, 496, 2665, 3247, 2388, 33, 30702, 33, 9263, 33, 21376, 401, 33, 31060, 88, 3991, 17962, 26, 94, 711, 284, 5881, 284, 29887, 237, 2929, 78, 29251, 78, 5702, 78, 13548, 225, 8597, 37342, 3382, 2705, 284, 5881, 284, 14471, 280, 2149, 284, 436, 816, 328, 456, 44, 291, 436, 533, 328, 816, 44, 324, 14471, 77, 107, 79, 280, 330, 2705, 25, 284, 442, 14471, 203, 589, 24910, 26, 466, 711, 284, 5881, 284, 225, 13265, 30849, 4498, 19752, 1121, 46771, 25205, 46670, 19752, 6017, 234, 4475, 19752, 6226, 284, 5881, 284, 8153, 280, 298, 8132, 32, 6306, 26, 466, 27, 284, 1024, 280, 1605, 284, 436, 341, 328, 8153, 44, 291, 1024, 32, 1689, 2009, 105, 32, 1112, 32, 4434, 463, 3310, 31, 42, 1425, 341, 32, 4555, 32, 4434, 463, 3310, 31, 42, 45325, 284, 442, 1024, 203, 589, 30891, 26, 374, 30, 827, 711, 284, 5881, 19752, 6226, 5787, 254, 8054, 1121, 35764, 3603, 9409, 2097, 4314, 284, 588, 622, 322, 2818, 8153, 14714, 544, 322, 827, 844, 2637, 284, 5881, 284, 540, 374, 280, 1605, 284, 436, 341, 328, 1024, 44, 291, 415, 341, 77, 35, 79, 610, 827, 44, 324, 540, 374, 32, 1689, 26, 105, 77, 34, 1130, 284, 442, 540, 374, 203, 589, 3896, 2348, 26, 2157, 711, 284, 5881, 284, 588, 24044, 284, 588, 1505, 3377, 328, 2968, 284, 5881, 284, 9473, 280, 2149, 284, 436, 816, 328, 2968, 32, 3494, 2262, 291, 9473, 77, 106, 79, 280, 1605, 291, 436, 533, 328, 816, 32, 2998, 440, 313, 711, 324, 594, 280, 1605, 324, 594, 280, 316, 32, 32852, 26, 100, 10255, 105, 44292, 533, 27, 324, 415, 594, 863, 1605, 44, 400, 9473, 77, 106, 997, 1689, 26, 92, 27, 284, 442, 9473, 203, 589, 622, 1625, 620, 885, 26, 374, 30, 9473, 30, 3896, 30, 534, 30, 3896, 4220, 711, 284, 5881, 284, 225, 13265, 30849, 4498, 10054, 19752, 5044, 1121, 17830, 2308, 16178, 3035, 510, 10188, 25273, 19752, 1121, 9409, 36539, 1121, 6395, 16148, 5622, 34, 1121, 11565, 4231, 19893, 15225, 3047, 2909, 14778, 27239, 1121, 12533, 39314, 18073, 5622, 25244, 1121, 25305, 7874, 8901, 19752, 3087, 16607, 30, 2705, 284, 588, 9169, 322, 3738, 432, 322, 2467, 8153, 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, 1, 1, 1, 4, 4, 4, 4, 2, 2, 3, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 3, 3, 1, 3, 3, 3, 1, 1, 3, 1, 1, 1, 1, 1, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 2, 3, 0, 0, 0, 1, 3, 3, 3, 4, 3, 3, 3, 3, 3, 8, 6, 8, 8, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 4, 7, 6, 7, 6, 2, 2, 2, 4, 4, 5, 2, 2, 4, 3, 4, 4, 4, 3, 3, 7, 8, 8, 7, 12, 12, 10, 11, 11, 12, 12, 8, 8, 12, 12, 11, 12, 12, 12, 12, 10, 11, 11, 11, 12, 12, 8, 3, 4, 2, 2, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 4, 5, 5, 2, 3, 3, 4, 3, 3, 3, 8, 6, 6, 7, 5, 5, 5, 10, 10, 10, 2, 3, 3, 2, 2, 2, 2, 3, 2, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 3, 3, 4, 3, 5, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 6, 6, 4, 5, 6, 5, 7, 8, 5, 8, 9, 9, 6, 6, 6, 6, 6, 8, 11, 12, 12, 11, 6, 6, 6, 7, 7, 8, 8, 7, 7, 7, 7, 7, 13, 13, 11, 12, 12, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5 ]

[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 11, 0, 0, 11, 0, 0, 0, 12, 12, 0, 12, 12, 12, 13, 13, 0, 13, 13, 13, 13, 13, 3, 3, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 20, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 21, 21, 1, 1, 1, 0, 22, 22, 22, 1, 1, 1, 2, 1, 1, 1, 1, 2, 22, 22, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 4, 4, 4, 0, 0, 2, 4, 4, 1, 3, 3, 3, 3, 3, 3, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 4, 1, 2, 2, 3, 23, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 2, 2, 4, 2, 2, 3, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 4, 3, 3, 1, 1, 1, 2, 1, 2, 24, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 5, 1, 1, 1, 0, 2, 1, 0, 2, 2, 5, 5, 5, 5, 5, 0, 2, 1, 2, 3, 5, 5, 5, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 25, 25, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 2, 7, 7, 7, 9, 9, 2, 25, 25, 1, 1, 1, 1, 1, 1, 1 ]