------- (15, 16384, 10) ALL distance distributions (10, 16384, 10) has 1 possible DDs: {[16, 160, 720, 1920, 3360, 4032, 3360, 1920, 720, 160, 16]} (11, 16384, 10) has 17 possible DDs: {[0, 176, 0, 2640, 0, 7392, 0, 5280, 0, 880, 0, 16], [1, 165, 55, 2475, 330, 6930, 462, 4950, 165, 825, 11, 15], [2, 154, 110, 2310, 660, 6468, 924, 4620, 330, 770, 22, 14], [3, 143, 165, 2145, 990, 6006, 1386, 4290, 495, 715, 33, 13], [4, 132, 220, 1980, 1320, 5544, 1848, 3960, 660, 660, 44, 12], [5, 121, 275, 1815, 1650, 5082, 2310, 3630, 825, 605, 55, 11], [6, 110, 330, 1650, 1980, 4620, 2772, 3300, 990, 550, 66, 10], [7, 99, 385, 1485, 2310, 4158, 3234, 2970, 1155, 495, 77, 9], [8, 88, 440, 1320, 2640, 3696, 3696, 2640, 1320, 440, 88, 8], [9, 77, 495, 1155, 2970, 3234, 4158, 2310, 1485, 385, 99, 7], [10, 66, 550, 990, 3300, 2772, 4620, 1980, 1650, 330, 110, 6], [11, 55, 605, 825, 3630, 2310, 5082, 1650, 1815, 275, 121, 5], [12, 44, 660, 660, 3960, 1848, 5544, 1320, 1980, 220, 132, 4], [13, 33, 715, 495, 4290, 1386, 6006, 990, 2145, 165, 143, 3], [14, 22, 770, 330, 4620, 924, 6468, 660, 2310, 110, 154, 2], [15, 11, 825, 165, 4950, 462, 6930, 330, 2475, 55, 165, 1], [16, 0, 880, 0, 5280, 0, 7392, 0, 2640, 0, 176, 0]} (12, 16384, 10) has 81 possible DDs: {[0, 88, 88, 1320, 1320, 3696, 3696, 2640, 2640, 440, 440, 8, 8], [0, 89, 77, 1375, 1155, 4026, 3234, 3102, 2310, 605, 385, 19, 7], [0, 90, 66, 1430, 990, 4356, 2772, 3564, 1980, 770, 330, 30, 6], [0, 91, 55, 1485, 825, 4686, 2310, 4026, 1650, 935, 275, 41, 5], [0, 92, 44, 1540, 660, 5016, 1848, 4488, 1320, 1100, 220, 52, 4], [0, 93, 33, 1595, 495, 5346, 1386, 4950, 990, 1265, 165, 63, 3], [0, 94, 22, 1650, 330, 5676, 924, 5412, 660, 1430, 110, 74, 2], [0, 95, 11, 1705, 165, 6006, 462, 5874, 330, 1595, 55, 85, 1], [0, 96, 0, 1760, 0, 6336, 0, 6336, 0, 1760, 0, 96, 0], [1, 77, 143, 1155, 1650, 3234, 4158, 2310, 2805, 385, 451, 7, 8], [1, 78, 132, 1210, 1485, 3564, 3696, 2772, 2475, 550, 396, 18, 7], [1, 79, 121, 1265, 1320, 3894, 3234, 3234, 2145, 715, 341, 29, 6], [1, 80, 110, 1320, 1155, 4224, 2772, 3696, 1815, 880, 286, 40, 5], [1, 81, 99, 1375, 990, 4554, 2310, 4158, 1485, 1045, 231, 51, 4], [1, 82, 88, 1430, 825, 4884, 1848, 4620, 1155, 1210, 176, 62, 3], [1, 83, 77, 1485, 660, 5214, 1386, 5082, 825, 1375, 121, 73, 2], [1, 84, 66, 1540, 495, 5544, 924, 5544, 495, 1540, 66, 84, 1], [1, 85, 55, 1595, 330, 5874, 462, 6006, 165, 1705, 11, 95, 0], [2, 66, 198, 990, 1980, 2772, 4620, 1980, 2970, 330, 462, 6, 8], [2, 67, 187, 1045, 1815, 3102, 4158, 2442, 2640, 495, 407, 17, 7], [2, 68, 176, 1100, 1650, 3432, 3696, 2904, 2310, 660, 352, 28, 6], [2, 69, 165, 1155, 1485, 3762, 3234, 3366, 1980, 825, 297, 39, 5], [2, 70, 154, 1210, 1320, 4092, 2772, 3828, 1650, 990, 242, 50, 4], [2, 71, 143, 1265, 1155, 4422, 2310, 4290, 1320, 1155, 187, 61, 3], [2, 72, 132, 1320, 990, 4752, 1848, 4752, 990, 1320, 132, 72, 2], [2, 73, 121, 1375, 825, 5082, 1386, 5214, 660, 1485, 77, 83, 1], [2, 74, 110, 1430, 660, 5412, 924, 5676, 330, 1650, 22, 94, 0], [3, 55, 253, 825, 2310, 2310, 5082, 1650, 3135, 275, 473, 5, 8], [3, 56, 242, 880, 2145, 2640, 4620, 2112, 2805, 440, 418, 16, 7], [3, 57, 231, 935, 1980, 2970, 4158, 2574, 2475, 605, 363, 27, 6], [3, 58, 220, 990, 1815, 3300, 3696, 3036, 2145, 770, 308, 38, 5], [3, 59, 209, 1045, 1650, 3630, 3234, 3498, 1815, 935, 253, 49, 4], [3, 60, 198, 1100, 1485, 3960, 2772, 3960, 1485, 1100, 198, 60, 3], [3, 61, 187, 1155, 1320, 4290, 2310, 4422, 1155, 1265, 143, 71, 2], [3, 62, 176, 1210, 1155, 4620, 1848, 4884, 825, 1430, 88, 82, 1], [3, 63, 165, 1265, 990, 4950, 1386, 5346, 495, 1595, 33, 93, 0], [4, 44, 308, 660, 2640, 1848, 5544, 1320, 3300, 220, 484, 4, 8], [4, 45, 297, 715, 2475, 2178, 5082, 1782, 2970, 385, 429, 15, 7], [4, 46, 286, 770, 2310, 2508, 4620, 2244, 2640, 550, 374, 26, 6], [4, 47, 275, 825, 2145, 2838, 4158, 2706, 2310, 715, 319, 37, 5], [4, 48, 264, 880, 1980, 3168, 3696, 3168, 1980, 880, 264, 48, 4], [4, 49, 253, 935, 1815, 3498, 3234, 3630, 1650, 1045, 209, 59, 3], [4, 50, 242, 990, 1650, 3828, 2772, 4092, 1320, 1210, 154, 70, 2], [4, 51, 231, 1045, 1485, 4158, 2310, 4554, 990, 1375, 99, 81, 1], [4, 52, 220, 1100, 1320, 4488, 1848, 5016, 660, 1540, 44, 92, 0], [5, 33, 363, 495, 2970, 1386, 6006, 990, 3465, 165, 495, 3, 8], [5, 34, 352, 550, 2805, 1716, 5544, 1452, 3135, 330, 440, 14, 7], [5, 35, 341, 605, 2640, 2046, 5082, 1914, 2805, 495, 385, 25, 6], [5, 36, 330, 660, 2475, 2376, 4620, 2376, 2475, 660, 330, 36, 5], [5, 37, 319, 715, 2310, 2706, 4158, 2838, 2145, 825, 275, 47, 4], [5, 38, 308, 770, 2145, 3036, 3696, 3300, 1815, 990, 220, 58, 3], [5, 39, 297, 825, 1980, 3366, 3234, 3762, 1485, 1155, 165, 69, 2], [5, 40, 286, 880, 1815, 3696, 2772, 4224, 1155, 1320, 110, 80, 1], [5, 41, 275, 935, 1650, 4026, 2310, 4686, 825, 1485, 55, 91, 0], [6, 22, 418, 330, 3300, 924, 6468, 660, 3630, 110, 506, 2, 8], [6, 23, 407, 385, 3135, 1254, 6006, 1122, 3300, 275, 451, 13, 7], [6, 24, 396, 440, 2970, 1584, 5544, 1584, 2970, 440, 396, 24, 6], [6, 25, 385, 495, 2805, 1914, 5082, 2046, 2640, 605, 341, 35, 5], [6, 26, 374, 550, 2640, 2244, 4620, 2508, 2310, 770, 286, 46, 4], [6, 27, 363, 605, 2475, 2574, 4158, 2970, 1980, 935, 231, 57, 3], [6, 28, 352, 660, 2310, 2904, 3696, 3432, 1650, 1100, 176, 68, 2], [6, 29, 341, 715, 2145, 3234, 3234, 3894, 1320, 1265, 121, 79, 1], [6, 30, 330, 770, 1980, 3564, 2772, 4356, 990, 1430, 66, 90, 0], [7, 11, 473, 165, 3630, 462, 6930, 330, 3795, 55, 517, 1, 8], [7, 12, 462, 220, 3465, 792, 6468, 792, 3465, 220, 462, 12, 7], [7, 13, 451, 275, 3300, 1122, 6006, 1254, 3135, 385, 407, 23, 6], [7, 14, 440, 330, 3135, 1452, 5544, 1716, 2805, 550, 352, 34, 5], [7, 15, 429, 385, 2970, 1782, 5082, 2178, 2475, 715, 297, 45, 4], [7, 16, 418, 440, 2805, 2112, 4620, 2640, 2145, 880, 242, 56, 3], [7, 17, 407, 495, 2640, 2442, 4158, 3102, 1815, 1045, 187, 67, 2], [7, 18, 396, 550, 2475, 2772, 3696, 3564, 1485, 1210, 132, 78, 1], [7, 19, 385, 605, 2310, 3102, 3234, 4026, 1155, 1375, 77, 89, 0], [8, 0, 528, 0, 3960, 0, 7392, 0, 3960, 0, 528, 0, 8], [8, 1, 517, 55, 3795, 330, 6930, 462, 3630, 165, 473, 11, 7], [8, 2, 506, 110, 3630, 660, 6468, 924, 3300, 330, 418, 22, 6], [8, 3, 495, 165, 3465, 990, 6006, 1386, 2970, 495, 363, 33, 5], [8, 4, 484, 220, 3300, 1320, 5544, 1848, 2640, 660, 308, 44, 4], [8, 5, 473, 275, 3135, 1650, 5082, 2310, 2310, 825, 253, 55, 3], [8, 6, 462, 330, 2970, 1980, 4620, 2772, 1980, 990, 198, 66, 2], [8, 7, 451, 385, 2805, 2310, 4158, 3234, 1650, 1155, 143, 77, 1], [8, 8, 440, 440, 2640, 2640, 3696, 3696, 1320, 1320, 88, 88, 0]} (13, 16384, 10) has 365 possible DDs: {[0, 37, 164, 330, 2420, 363, 6600, 396, 4488, 715, 660, 202, 4, 5], [0, 38, 153, 385, 2255, 693, 6138, 858, 4158, 880, 605, 213, 3, 5], [0, 38, 154, 374, 2310, 528, 6468, 396, 4620, 550, 770, 158, 14, 4], [0, 39, 142, 440, 2090, 1023, 5676, 1320, 3828, 1045, 550, 224, 2, 5], [0, 39, 143, 429, 2145, 858, 6006, 858, 4290, 715, 715, 169, 13, 4], [0, 39, 144, 418, 2200, 693, 6336, 396, 4752, 385, 880, 114, 24, 3], [0, 40, 131, 495, 1925, 1353, 5214, 1782, 3498, 1210, 495, 235, 1, 5], [0, 40, 132, 484, 1980, 1188, 5544, 1320, 3960, 880, 660, 180, 12, 4], [0, 40, 133, 473, 2035, 1023, 5874, 858, 4422, 550, 825, 125, 23, 3], [0, 40, 134, 462, 2090, 858, 6204, 396, 4884, 220, 990, 70, 34, 2], [0, 41, 120, 550, 1760, 1683, 4752, 2244, 3168, 1375, 440, 246, 0, 5], [0, 41, 121, 539, 1815, 1518, 5082, 1782, 3630, 1045, 605, 191, 11, 4], [0, 41, 122, 528, 1870, 1353, 5412, 1320, 4092, 715, 770, 136, 22, 3], [0, 41, 123, 517, 1925, 1188, 5742, 858, 4554, 385, 935, 81, 33, 2], [0, 41, 124, 506, 1980, 1023, 6072, 396, 5016, 55, 1100, 26, 44, 1], [0, 42, 110, 594, 1650, 1848, 4620, 2244, 3300, 1210, 550, 202, 10, 4], [0, 42, 111, 583, 1705, 1683, 4950, 1782, 3762, 880, 715, 147, 21, 3], [0, 42, 112, 572, 1760, 1518, 5280, 1320, 4224, 550, 880, 92, 32, 2], [0, 42, 113, 561, 1815, 1353, 5610, 858, 4686, 220, 1045, 37, 43, 1], [0, 43, 99, 649, 1485, 2178, 4158, 2706, 2970, 1375, 495, 213, 9, 4], [0, 43, 100, 638, 1540, 2013, 4488, 2244, 3432, 1045, 660, 158, 20, 3], [0, 43, 101, 627, 1595, 1848, 4818, 1782, 3894, 715, 825, 103, 31, 2], [0, 43, 102, 616, 1650, 1683, 5148, 1320, 4356, 385, 990, 48, 42, 1], [0, 44, 88, 704, 1320, 2508, 3696, 3168, 2640, 1540, 440, 224, 8, 4], [0, 44, 89, 693, 1375, 2343, 4026, 2706, 3102, 1210, 605, 169, 19, 3], [0, 44, 90, 682, 1430, 2178, 4356, 2244, 3564, 880, 770, 114, 30, 2], [0, 44, 91, 671, 1485, 2013, 4686, 1782, 4026, 550, 935, 59, 41, 1], [0, 44, 92, 660, 1540, 1848, 5016, 1320, 4488, 220, 1100, 4, 52, 0], [0, 45, 77, 759, 1155, 2838, 3234, 3630, 2310, 1705, 385, 235, 7, 4], [0, 45, 78, 748, 1210, 2673, 3564, 3168, 2772, 1375, 550, 180, 18, 3], [0, 45, 79, 737, 1265, 2508, 3894, 2706, 3234, 1045, 715, 125, 29, 2], [0, 45, 80, 726, 1320, 2343, 4224, 2244, 3696, 715, 880, 70, 40, 1], [0, 45, 81, 715, 1375, 2178, 4554, 1782, 4158, 385, 1045, 15, 51, 0], [0, 46, 66, 814, 990, 3168, 2772, 4092, 1980, 1870, 330, 246, 6, 4], [0, 46, 67, 803, 1045, 3003, 3102, 3630, 2442, 1540, 495, 191, 17, 3], [0, 46, 68, 792, 1100, 2838, 3432, 3168, 2904, 1210, 660, 136, 28, 2], [0, 46, 69, 781, 1155, 2673, 3762, 2706, 3366, 880, 825, 81, 39, 1], [0, 46, 70, 770, 1210, 2508, 4092, 2244, 3828, 550, 990, 26, 50, 0], [0, 47, 55, 869, 825, 3498, 2310, 4554, 1650, 2035, 275, 257, 5, 4], [0, 47, 56, 858, 880, 3333, 2640, 4092, 2112, 1705, 440, 202, 16, 3], [0, 47, 57, 847, 935, 3168, 2970, 3630, 2574, 1375, 605, 147, 27, 2], [0, 47, 58, 836, 990, 3003, 3300, 3168, 3036, 1045, 770, 92, 38, 1], [0, 47, 59, 825, 1045, 2838, 3630, 2706, 3498, 715, 935, 37, 49, 0], [0, 48, 44, 924, 660, 3828, 1848, 5016, 1320, 2200, 220, 268, 4, 4], [0, 48, 45, 913, 715, 3663, 2178, 4554, 1782, 1870, 385, 213, 15, 3], [0, 48, 46, 902, 770, 3498, 2508, 4092, 2244, 1540, 550, 158, 26, 2], [0, 48, 47, 891, 825, 3333, 2838, 3630, 2706, 1210, 715, 103, 37, 1], [0, 48, 48, 880, 880, 3168, 3168, 3168, 3168, 880, 880, 48, 48, 0], [0, 49, 33, 979, 495, 4158, 1386, 5478, 990, 2365, 165, 279, 3, 4], [0, 49, 34, 968, 550, 3993, 1716, 5016, 1452, 2035, 330, 224, 14, 3], [0, 49, 35, 957, 605, 3828, 2046, 4554, 1914, 1705, 495, 169, 25, 2], [0, 49, 36, 946, 660, 3663, 2376, 4092, 2376, 1375, 660, 114, 36, 1], [0, 49, 37, 935, 715, 3498, 2706, 3630, 2838, 1045, 825, 59, 47, 0], [0, 50, 22, 1034, 330, 4488, 924, 5940, 660, 2530, 110, 290, 2, 4], [0, 50, 23, 1023, 385, 4323, 1254, 5478, 1122, 2200, 275, 235, 13, 3], [0, 50, 24, 1012, 440, 4158, 1584, 5016, 1584, 1870, 440, 180, 24, 2], [0, 50, 25, 1001, 495, 3993, 1914, 4554, 2046, 1540, 605, 125, 35, 1], [0, 50, 26, 990, 550, 3828, 2244, 4092, 2508, 1210, 770, 70, 46, 0], [0, 51, 11, 1089, 165, 4818, 462, 6402, 330, 2695, 55, 301, 1, 4], [0, 51, 12, 1078, 220, 4653, 792, 5940, 792, 2365, 220, 246, 12, 3], [0, 51, 13, 1067, 275, 4488, 1122, 5478, 1254, 2035, 385, 191, 23, 2], [0, 51, 14, 1056, 330, 4323, 1452, 5016, 1716, 1705, 550, 136, 34, 1], [0, 51, 15, 1045, 385, 4158, 1782, 4554, 2178, 1375, 715, 81, 45, 0], [0, 52, 0, 1144, 0, 5148, 0, 6864, 0, 2860, 0, 312, 0, 4], [0, 52, 1, 1133, 55, 4983, 330, 6402, 462, 2530, 165, 257, 11, 3], [0, 52, 2, 1122, 110, 4818, 660, 5940, 924, 2200, 330, 202, 22, 2], [0, 52, 3, 1111, 165, 4653, 990, 5478, 1386, 1870, 495, 147, 33, 1], [0, 52, 4, 1100, 220, 4488, 1320, 5016, 1848, 1540, 660, 92, 44, 0], [1, 27, 208, 220, 2585, 231, 6600, 528, 4323, 825, 616, 212, 3, 5], [1, 27, 209, 209, 2640, 66, 6930, 66, 4785, 495, 781, 157, 14, 4], [1, 28, 197, 275, 2420, 561, 6138, 990, 3993, 990, 561, 223, 2, 5], [1, 28, 198, 264, 2475, 396, 6468, 528, 4455, 660, 726, 168, 13, 4], [1, 28, 199, 253, 2530, 231, 6798, 66, 4917, 330, 891, 113, 24, 3], [1, 29, 186, 330, 2255, 891, 5676, 1452, 3663, 1155, 506, 234, 1, 5], [1, 29, 187, 319, 2310, 726, 6006, 990, 4125, 825, 671, 179, 12, 4], [1, 29, 188, 308, 2365, 561, 6336, 528, 4587, 495, 836, 124, 23, 3], [1, 29, 189, 297, 2420, 396, 6666, 66, 5049, 165, 1001, 69, 34, 2], [1, 30, 175, 385, 2090, 1221, 5214, 1914, 3333, 1320, 451, 245, 0, 5], [1, 30, 176, 374, 2145, 1056, 5544, 1452, 3795, 990, 616, 190, 11, 4], [1, 30, 177, 363, 2200, 891, 5874, 990, 4257, 660, 781, 135, 22, 3], [1, 30, 178, 352, 2255, 726, 6204, 528, 4719, 330, 946, 80, 33, 2], [1, 30, 179, 341, 2310, 561, 6534, 66, 5181, 0, 1111, 25, 44, 1], [1, 31, 165, 429, 1980, 1386, 5082, 1914, 3465, 1155, 561, 201, 10, 4], [1, 31, 166, 418, 2035, 1221, 5412, 1452, 3927, 825, 726, 146, 21, 3], [1, 31, 167, 407, 2090, 1056, 5742, 990, 4389, 495, 891, 91, 32, 2], [1, 31, 168, 396, 2145, 891, 6072, 528, 4851, 165, 1056, 36, 43, 1], [1, 32, 154, 484, 1815, 1716, 4620, 2376, 3135, 1320, 506, 212, 9, 4], [1, 32, 155, 473, 1870, 1551, 4950, 1914, 3597, 990, 671, 157, 20, 3], [1, 32, 156, 462, 1925, 1386, 5280, 1452, 4059, 660, 836, 102, 31, 2], [1, 32, 157, 451, 1980, 1221, 5610, 990, 4521, 330, 1001, 47, 42, 1], [1, 33, 143, 539, 1650, 2046, 4158, 2838, 2805, 1485, 451, 223, 8, 4], [1, 33, 144, 528, 1705, 1881, 4488, 2376, 3267, 1155, 616, 168, 19, 3], [1, 33, 145, 517, 1760, 1716, 4818, 1914, 3729, 825, 781, 113, 30, 2], [1, 33, 146, 506, 1815, 1551, 5148, 1452, 4191, 495, 946, 58, 41, 1], [1, 33, 147, 495, 1870, 1386, 5478, 990, 4653, 165, 1111, 3, 52, 0], [1, 34, 132, 594, 1485, 2376, 3696, 3300, 2475, 1650, 396, 234, 7, 4], [1, 34, 133, 583, 1540, 2211, 4026, 2838, 2937, 1320, 561, 179, 18, 3], [1, 34, 134, 572, 1595, 2046, 4356, 2376, 3399, 990, 726, 124, 29, 2], [1, 34, 135, 561, 1650, 1881, 4686, 1914, 3861, 660, 891, 69, 40, 1], [1, 34, 136, 550, 1705, 1716, 5016, 1452, 4323, 330, 1056, 14, 51, 0], [1, 35, 121, 649, 1320, 2706, 3234, 3762, 2145, 1815, 341, 245, 6, 4], [1, 35, 122, 638, 1375, 2541, 3564, 3300, 2607, 1485, 506, 190, 17, 3], [1, 35, 123, 627, 1430, 2376, 3894, 2838, 3069, 1155, 671, 135, 28, 2], [1, 35, 124, 616, 1485, 2211, 4224, 2376, 3531, 825, 836, 80, 39, 1], [1, 35, 125, 605, 1540, 2046, 4554, 1914, 3993, 495, 1001, 25, 50, 0], [1, 36, 110, 704, 1155, 3036, 2772, 4224, 1815, 1980, 286, 256, 5, 4], [1, 36, 111, 693, 1210, 2871, 3102, 3762, 2277, 1650, 451, 201, 16, 3], [1, 36, 112, 682, 1265, 2706, 3432, 3300, 2739, 1320, 616, 146, 27, 2], [1, 36, 113, 671, 1320, 2541, 3762, 2838, 3201, 990, 781, 91, 38, 1], [1, 36, 114, 660, 1375, 2376, 4092, 2376, 3663, 660, 946, 36, 49, 0], [1, 37, 99, 759, 990, 3366, 2310, 4686, 1485, 2145, 231, 267, 4, 4], [1, 37, 100, 748, 1045, 3201, 2640, 4224, 1947, 1815, 396, 212, 15, 3], [1, 37, 101, 737, 1100, 3036, 2970, 3762, 2409, 1485, 561, 157, 26, 2], [1, 37, 102, 726, 1155, 2871, 3300, 3300, 2871, 1155, 726, 102, 37, 1], [1, 37, 103, 715, 1210, 2706, 3630, 2838, 3333, 825, 891, 47, 48, 0], [1, 38, 88, 814, 825, 3696, 1848, 5148, 1155, 2310, 176, 278, 3, 4], [1, 38, 89, 803, 880, 3531, 2178, 4686, 1617, 1980, 341, 223, 14, 3], [1, 38, 90, 792, 935, 3366, 2508, 4224, 2079, 1650, 506, 168, 25, 2], [1, 38, 91, 781, 990, 3201, 2838, 3762, 2541, 1320, 671, 113, 36, 1], [1, 38, 92, 770, 1045, 3036, 3168, 3300, 3003, 990, 836, 58, 47, 0], [1, 39, 77, 869, 660, 4026, 1386, 5610, 825, 2475, 121, 289, 2, 4], [1, 39, 78, 858, 715, 3861, 1716, 5148, 1287, 2145, 286, 234, 13, 3], [1, 39, 79, 847, 770, 3696, 2046, 4686, 1749, 1815, 451, 179, 24, 2], [1, 39, 80, 836, 825, 3531, 2376, 4224, 2211, 1485, 616, 124, 35, 1], [1, 39, 81, 825, 880, 3366, 2706, 3762, 2673, 1155, 781, 69, 46, 0], [1, 40, 66, 924, 495, 4356, 924, 6072, 495, 2640, 66, 300, 1, 4], [1, 40, 67, 913, 550, 4191, 1254, 5610, 957, 2310, 231, 245, 12, 3], [1, 40, 68, 902, 605, 4026, 1584, 5148, 1419, 1980, 396, 190, 23, 2], [1, 40, 69, 891, 660, 3861, 1914, 4686, 1881, 1650, 561, 135, 34, 1], [1, 40, 70, 880, 715, 3696, 2244, 4224, 2343, 1320, 726, 80, 45, 0], [1, 41, 55, 979, 330, 4686, 462, 6534, 165, 2805, 11, 311, 0, 4], [1, 41, 56, 968, 385, 4521, 792, 6072, 627, 2475, 176, 256, 11, 3], [1, 41, 57, 957, 440, 4356, 1122, 5610, 1089, 2145, 341, 201, 22, 2], [1, 41, 58, 946, 495, 4191, 1452, 5148, 1551, 1815, 506, 146, 33, 1], [1, 41, 59, 935, 550, 4026, 1782, 4686, 2013, 1485, 671, 91, 44, 0], [1, 42, 45, 1023, 220, 4851, 330, 6534, 297, 2640, 121, 267, 10, 3], [1, 42, 46, 1012, 275, 4686, 660, 6072, 759, 2310, 286, 212, 21, 2], [1, 42, 47, 1001, 330, 4521, 990, 5610, 1221, 1980, 451, 157, 32, 1], [1, 42, 48, 990, 385, 4356, 1320, 5148, 1683, 1650, 616, 102, 43, 0], [1, 43, 35, 1067, 110, 5016, 198, 6534, 429, 2475, 231, 223, 20, 2], [1, 43, 36, 1056, 165, 4851, 528, 6072, 891, 2145, 396, 168, 31, 1], [1, 43, 37, 1045, 220, 4686, 858, 5610, 1353, 1815, 561, 113, 42, 0], [1, 44, 25, 1111, 0, 5181, 66, 6534, 561, 2310, 341, 179, 30, 1], [1, 44, 26, 1100, 55, 5016, 396, 6072, 1023, 1980, 506, 124, 41, 0], [2, 17, 252, 110, 2750, 99, 6600, 660, 4158, 935, 572, 222, 2, 5], [2, 18, 241, 165, 2585, 429, 6138, 1122, 3828, 1100, 517, 233, 1, 5], [2, 18, 242, 154, 2640, 264, 6468, 660, 4290, 770, 682, 178, 12, 4], [2, 18, 243, 143, 2695, 99, 6798, 198, 4752, 440, 847, 123, 23, 3], [2, 19, 230, 220, 2420, 759, 5676, 1584, 3498, 1265, 462, 244, 0, 5], [2, 19, 231, 209, 2475, 594, 6006, 1122, 3960, 935, 627, 189, 11, 4], [2, 19, 232, 198, 2530, 429, 6336, 660, 4422, 605, 792, 134, 22, 3], [2, 19, 233, 187, 2585, 264, 6666, 198, 4884, 275, 957, 79, 33, 2], [2, 20, 220, 264, 2310, 924, 5544, 1584, 3630, 1100, 572, 200, 10, 4], [2, 20, 221, 253, 2365, 759, 5874, 1122, 4092, 770, 737, 145, 21, 3], [2, 20, 222, 242, 2420, 594, 6204, 660, 4554, 440, 902, 90, 32, 2], [2, 20, 223, 231, 2475, 429, 6534, 198, 5016, 110, 1067, 35, 43, 1], [2, 21, 209, 319, 2145, 1254, 5082, 2046, 3300, 1265, 517, 211, 9, 4], [2, 21, 210, 308, 2200, 1089, 5412, 1584, 3762, 935, 682, 156, 20, 3], [2, 21, 211, 297, 2255, 924, 5742, 1122, 4224, 605, 847, 101, 31, 2], [2, 21, 212, 286, 2310, 759, 6072, 660, 4686, 275, 1012, 46, 42, 1], [2, 22, 198, 374, 1980, 1584, 4620, 2508, 2970, 1430, 462, 222, 8, 4], [2, 22, 199, 363, 2035, 1419, 4950, 2046, 3432, 1100, 627, 167, 19, 3], [2, 22, 200, 352, 2090, 1254, 5280, 1584, 3894, 770, 792, 112, 30, 2], [2, 22, 201, 341, 2145, 1089, 5610, 1122, 4356, 440, 957, 57, 41, 1], [2, 22, 202, 330, 2200, 924, 5940, 660, 4818, 110, 1122, 2, 52, 0], [2, 23, 187, 429, 1815, 1914, 4158, 2970, 2640, 1595, 407, 233, 7, 4], [2, 23, 188, 418, 1870, 1749, 4488, 2508, 3102, 1265, 572, 178, 18, 3], [2, 23, 189, 407, 1925, 1584, 4818, 2046, 3564, 935, 737, 123, 29, 2], [2, 23, 190, 396, 1980, 1419, 5148, 1584, 4026, 605, 902, 68, 40, 1], [2, 23, 191, 385, 2035, 1254, 5478, 1122, 4488, 275, 1067, 13, 51, 0], [2, 24, 176, 484, 1650, 2244, 3696, 3432, 2310, 1760, 352, 244, 6, 4], [2, 24, 177, 473, 1705, 2079, 4026, 2970, 2772, 1430, 517, 189, 17, 3], [2, 24, 178, 462, 1760, 1914, 4356, 2508, 3234, 1100, 682, 134, 28, 2], [2, 24, 179, 451, 1815, 1749, 4686, 2046, 3696, 770, 847, 79, 39, 1], [2, 24, 180, 440, 1870, 1584, 5016, 1584, 4158, 440, 1012, 24, 50, 0], [2, 25, 165, 539, 1485, 2574, 3234, 3894, 1980, 1925, 297, 255, 5, 4], [2, 25, 166, 528, 1540, 2409, 3564, 3432, 2442, 1595, 462, 200, 16, 3], [2, 25, 167, 517, 1595, 2244, 3894, 2970, 2904, 1265, 627, 145, 27, 2], [2, 25, 168, 506, 1650, 2079, 4224, 2508, 3366, 935, 792, 90, 38, 1], [2, 25, 169, 495, 1705, 1914, 4554, 2046, 3828, 605, 957, 35, 49, 0], [2, 26, 154, 594, 1320, 2904, 2772, 4356, 1650, 2090, 242, 266, 4, 4], [2, 26, 155, 583, 1375, 2739, 3102, 3894, 2112, 1760, 407, 211, 15, 3], [2, 26, 156, 572, 1430, 2574, 3432, 3432, 2574, 1430, 572, 156, 26, 2], [2, 26, 157, 561, 1485, 2409, 3762, 2970, 3036, 1100, 737, 101, 37, 1], [2, 26, 158, 550, 1540, 2244, 4092, 2508, 3498, 770, 902, 46, 48, 0], [2, 27, 143, 649, 1155, 3234, 2310, 4818, 1320, 2255, 187, 277, 3, 4], [2, 27, 144, 638, 1210, 3069, 2640, 4356, 1782, 1925, 352, 222, 14, 3], [2, 27, 145, 627, 1265, 2904, 2970, 3894, 2244, 1595, 517, 167, 25, 2], [2, 27, 146, 616, 1320, 2739, 3300, 3432, 2706, 1265, 682, 112, 36, 1], [2, 27, 147, 605, 1375, 2574, 3630, 2970, 3168, 935, 847, 57, 47, 0], [2, 28, 132, 704, 990, 3564, 1848, 5280, 990, 2420, 132, 288, 2, 4], [2, 28, 133, 693, 1045, 3399, 2178, 4818, 1452, 2090, 297, 233, 13, 3], [2, 28, 134, 682, 1100, 3234, 2508, 4356, 1914, 1760, 462, 178, 24, 2], [2, 28, 135, 671, 1155, 3069, 2838, 3894, 2376, 1430, 627, 123, 35, 1], [2, 28, 136, 660, 1210, 2904, 3168, 3432, 2838, 1100, 792, 68, 46, 0], [2, 29, 121, 759, 825, 3894, 1386, 5742, 660, 2585, 77, 299, 1, 4], [2, 29, 122, 748, 880, 3729, 1716, 5280, 1122, 2255, 242, 244, 12, 3], [2, 29, 123, 737, 935, 3564, 2046, 4818, 1584, 1925, 407, 189, 23, 2], [2, 29, 124, 726, 990, 3399, 2376, 4356, 2046, 1595, 572, 134, 34, 1], [2, 29, 125, 715, 1045, 3234, 2706, 3894, 2508, 1265, 737, 79, 45, 0], [2, 30, 110, 814, 660, 4224, 924, 6204, 330, 2750, 22, 310, 0, 4], [2, 30, 111, 803, 715, 4059, 1254, 5742, 792, 2420, 187, 255, 11, 3], [2, 30, 112, 792, 770, 3894, 1584, 5280, 1254, 2090, 352, 200, 22, 2], [2, 30, 113, 781, 825, 3729, 1914, 4818, 1716, 1760, 517, 145, 33, 1], [2, 30, 114, 770, 880, 3564, 2244, 4356, 2178, 1430, 682, 90, 44, 0], [2, 31, 100, 858, 550, 4389, 792, 6204, 462, 2585, 132, 266, 10, 3], [2, 31, 101, 847, 605, 4224, 1122, 5742, 924, 2255, 297, 211, 21, 2], [2, 31, 102, 836, 660, 4059, 1452, 5280, 1386, 1925, 462, 156, 32, 1], [2, 31, 103, 825, 715, 3894, 1782, 4818, 1848, 1595, 627, 101, 43, 0], [2, 32, 89, 913, 385, 4719, 330, 6666, 132, 2750, 77, 277, 9, 3], [2, 32, 90, 902, 440, 4554, 660, 6204, 594, 2420, 242, 222, 20, 2], [2, 32, 91, 891, 495, 4389, 990, 5742, 1056, 2090, 407, 167, 31, 1], [2, 32, 92, 880, 550, 4224, 1320, 5280, 1518, 1760, 572, 112, 42, 0], [2, 33, 79, 957, 275, 4884, 198, 6666, 264, 2585, 187, 233, 19, 2], [2, 33, 80, 946, 330, 4719, 528, 6204, 726, 2255, 352, 178, 30, 1], [2, 33, 81, 935, 385, 4554, 858, 5742, 1188, 1925, 517, 123, 41, 0], [2, 34, 69, 1001, 165, 5049, 66, 6666, 396, 2420, 297, 189, 29, 1], [2, 34, 70, 990, 220, 4884, 396, 6204, 858, 2090, 462, 134, 40, 0], [3, 8, 285, 55, 2750, 297, 6138, 1254, 3663, 1210, 473, 243, 0, 5], [3, 8, 286, 44, 2805, 132, 6468, 792, 4125, 880, 638, 188, 11, 4], [3, 9, 275, 99, 2640, 462, 6006, 1254, 3795, 1045, 583, 199, 10, 4], [3, 9, 276, 88, 2695, 297, 6336, 792, 4257, 715, 748, 144, 21, 3], [3, 9, 277, 77, 2750, 132, 6666, 330, 4719, 385, 913, 89, 32, 2], [3, 10, 264, 154, 2475, 792, 5544, 1716, 3465, 1210, 528, 210, 9, 4], [3, 10, 265, 143, 2530, 627, 5874, 1254, 3927, 880, 693, 155, 20, 3], [3, 10, 266, 132, 2585, 462, 6204, 792, 4389, 550, 858, 100, 31, 2], [3, 10, 267, 121, 2640, 297, 6534, 330, 4851, 220, 1023, 45, 42, 1], [3, 11, 253, 209, 2310, 1122, 5082, 2178, 3135, 1375, 473, 221, 8, 4], [3, 11, 254, 198, 2365, 957, 5412, 1716, 3597, 1045, 638, 166, 19, 3], [3, 11, 255, 187, 2420, 792, 5742, 1254, 4059, 715, 803, 111, 30, 2], [3, 11, 256, 176, 2475, 627, 6072, 792, 4521, 385, 968, 56, 41, 1], [3, 11, 257, 165, 2530, 462, 6402, 330, 4983, 55, 1133, 1, 52, 0], [3, 12, 242, 264, 2145, 1452, 4620, 2640, 2805, 1540, 418, 232, 7, 4], [3, 12, 243, 253, 2200, 1287, 4950, 2178, 3267, 1210, 583, 177, 18, 3], [3, 12, 244, 242, 2255, 1122, 5280, 1716, 3729, 880, 748, 122, 29, 2], [3, 12, 245, 231, 2310, 957, 5610, 1254, 4191, 550, 913, 67, 40, 1], [3, 12, 246, 220, 2365, 792, 5940, 792, 4653, 220, 1078, 12, 51, 0], [3, 13, 231, 319, 1980, 1782, 4158, 3102, 2475, 1705, 363, 243, 6, 4], [3, 13, 232, 308, 2035, 1617, 4488, 2640, 2937, 1375, 528, 188, 17, 3], [3, 13, 233, 297, 2090, 1452, 4818, 2178, 3399, 1045, 693, 133, 28, 2], [3, 13, 234, 286, 2145, 1287, 5148, 1716, 3861, 715, 858, 78, 39, 1], [3, 13, 235, 275, 2200, 1122, 5478, 1254, 4323, 385, 1023, 23, 50, 0], [3, 14, 220, 374, 1815, 2112, 3696, 3564, 2145, 1870, 308, 254, 5, 4], [3, 14, 221, 363, 1870, 1947, 4026, 3102, 2607, 1540, 473, 199, 16, 3], [3, 14, 222, 352, 1925, 1782, 4356, 2640, 3069, 1210, 638, 144, 27, 2], [3, 14, 223, 341, 1980, 1617, 4686, 2178, 3531, 880, 803, 89, 38, 1], [3, 14, 224, 330, 2035, 1452, 5016, 1716, 3993, 550, 968, 34, 49, 0], [3, 15, 209, 429, 1650, 2442, 3234, 4026, 1815, 2035, 253, 265, 4, 4], [3, 15, 210, 418, 1705, 2277, 3564, 3564, 2277, 1705, 418, 210, 15, 3], [3, 15, 211, 407, 1760, 2112, 3894, 3102, 2739, 1375, 583, 155, 26, 2], [3, 15, 212, 396, 1815, 1947, 4224, 2640, 3201, 1045, 748, 100, 37, 1], [3, 15, 213, 385, 1870, 1782, 4554, 2178, 3663, 715, 913, 45, 48, 0], [3, 16, 198, 484, 1485, 2772, 2772, 4488, 1485, 2200, 198, 276, 3, 4], [3, 16, 199, 473, 1540, 2607, 3102, 4026, 1947, 1870, 363, 221, 14, 3], [3, 16, 200, 462, 1595, 2442, 3432, 3564, 2409, 1540, 528, 166, 25, 2], [3, 16, 201, 451, 1650, 2277, 3762, 3102, 2871, 1210, 693, 111, 36, 1], [3, 16, 202, 440, 1705, 2112, 4092, 2640, 3333, 880, 858, 56, 47, 0], [3, 17, 187, 539, 1320, 3102, 2310, 4950, 1155, 2365, 143, 287, 2, 4], [3, 17, 188, 528, 1375, 2937, 2640, 4488, 1617, 2035, 308, 232, 13, 3], [3, 17, 189, 517, 1430, 2772, 2970, 4026, 2079, 1705, 473, 177, 24, 2], [3, 17, 190, 506, 1485, 2607, 3300, 3564, 2541, 1375, 638, 122, 35, 1], [3, 17, 191, 495, 1540, 2442, 3630, 3102, 3003, 1045, 803, 67, 46, 0], [3, 18, 176, 594, 1155, 3432, 1848, 5412, 825, 2530, 88, 298, 1, 4], [3, 18, 177, 583, 1210, 3267, 2178, 4950, 1287, 2200, 253, 243, 12, 3], [3, 18, 178, 572, 1265, 3102, 2508, 4488, 1749, 1870, 418, 188, 23, 2], [3, 18, 179, 561, 1320, 2937, 2838, 4026, 2211, 1540, 583, 133, 34, 1], [3, 18, 180, 550, 1375, 2772, 3168, 3564, 2673, 1210, 748, 78, 45, 0], [3, 19, 165, 649, 990, 3762, 1386, 5874, 495, 2695, 33, 309, 0, 4], [3, 19, 166, 638, 1045, 3597, 1716, 5412, 957, 2365, 198, 254, 11, 3], [3, 19, 167, 627, 1100, 3432, 2046, 4950, 1419, 2035, 363, 199, 22, 2], [3, 19, 168, 616, 1155, 3267, 2376, 4488, 1881, 1705, 528, 144, 33, 1], [3, 19, 169, 605, 1210, 3102, 2706, 4026, 2343, 1375, 693, 89, 44, 0], [3, 20, 155, 693, 880, 3927, 1254, 5874, 627, 2530, 143, 265, 10, 3], [3, 20, 156, 682, 935, 3762, 1584, 5412, 1089, 2200, 308, 210, 21, 2], [3, 20, 157, 671, 990, 3597, 1914, 4950, 1551, 1870, 473, 155, 32, 1], [3, 20, 158, 660, 1045, 3432, 2244, 4488, 2013, 1540, 638, 100, 43, 0], [3, 21, 144, 748, 715, 4257, 792, 6336, 297, 2695, 88, 276, 9, 3], [3, 21, 145, 737, 770, 4092, 1122, 5874, 759, 2365, 253, 221, 20, 2], [3, 21, 146, 726, 825, 3927, 1452, 5412, 1221, 2035, 418, 166, 31, 1], [3, 21, 147, 715, 880, 3762, 1782, 4950, 1683, 1705, 583, 111, 42, 0], [3, 22, 134, 792, 605, 4422, 660, 6336, 429, 2530, 198, 232, 19, 2], [3, 22, 135, 781, 660, 4257, 990, 5874, 891, 2200, 363, 177, 30, 1], [3, 22, 136, 770, 715, 4092, 1320, 5412, 1353, 1870, 528, 122, 41, 0], [3, 23, 123, 847, 440, 4752, 198, 6798, 99, 2695, 143, 243, 18, 2], [3, 23, 124, 836, 495, 4587, 528, 6336, 561, 2365, 308, 188, 29, 1], [3, 23, 125, 825, 550, 4422, 858, 5874, 1023, 2035, 473, 133, 40, 0], [3, 24, 113, 891, 330, 4917, 66, 6798, 231, 2530, 253, 199, 28, 1], [3, 24, 114, 880, 385, 4752, 396, 6336, 693, 2200, 418, 144, 39, 0], [4, 0, 308, 44, 2640, 660, 5544, 1848, 3300, 1320, 484, 220, 8, 4], [4, 0, 309, 33, 2695, 495, 5874, 1386, 3762, 990, 649, 165, 19, 3], [4, 0, 310, 22, 2750, 330, 6204, 924, 4224, 660, 814, 110, 30, 2], [4, 0, 311, 11, 2805, 165, 6534, 462, 4686, 330, 979, 55, 41, 1], [4, 0, 312, 0, 2860, 0, 6864, 0, 5148, 0, 1144, 0, 52, 0], [4, 1, 297, 99, 2475, 990, 5082, 2310, 2970, 1485, 429, 231, 7, 4], [4, 1, 298, 88, 2530, 825, 5412, 1848, 3432, 1155, 594, 176, 18, 3], [4, 1, 299, 77, 2585, 660, 5742, 1386, 3894, 825, 759, 121, 29, 2], [4, 1, 300, 66, 2640, 495, 6072, 924, 4356, 495, 924, 66, 40, 1], [4, 1, 301, 55, 2695, 330, 6402, 462, 4818, 165, 1089, 11, 51, 0], [4, 2, 286, 154, 2310, 1320, 4620, 2772, 2640, 1650, 374, 242, 6, 4], [4, 2, 287, 143, 2365, 1155, 4950, 2310, 3102, 1320, 539, 187, 17, 3], [4, 2, 288, 132, 2420, 990, 5280, 1848, 3564, 990, 704, 132, 28, 2], [4, 2, 289, 121, 2475, 825, 5610, 1386, 4026, 660, 869, 77, 39, 1], [4, 2, 290, 110, 2530, 660, 5940, 924, 4488, 330, 1034, 22, 50, 0], [4, 3, 275, 209, 2145, 1650, 4158, 3234, 2310, 1815, 319, 253, 5, 4], [4, 3, 276, 198, 2200, 1485, 4488, 2772, 2772, 1485, 484, 198, 16, 3], [4, 3, 277, 187, 2255, 1320, 4818, 2310, 3234, 1155, 649, 143, 27, 2], [4, 3, 278, 176, 2310, 1155, 5148, 1848, 3696, 825, 814, 88, 38, 1], [4, 3, 279, 165, 2365, 990, 5478, 1386, 4158, 495, 979, 33, 49, 0], [4, 4, 264, 264, 1980, 1980, 3696, 3696, 1980, 1980, 264, 264, 4, 4], [4, 4, 265, 253, 2035, 1815, 4026, 3234, 2442, 1650, 429, 209, 15, 3], [4, 4, 266, 242, 2090, 1650, 4356, 2772, 2904, 1320, 594, 154, 26, 2], [4, 4, 267, 231, 2145, 1485, 4686, 2310, 3366, 990, 759, 99, 37, 1], [4, 4, 268, 220, 2200, 1320, 5016, 1848, 3828, 660, 924, 44, 48, 0], [4, 5, 253, 319, 1815, 2310, 3234, 4158, 1650, 2145, 209, 275, 3, 4], [4, 5, 254, 308, 1870, 2145, 3564, 3696, 2112, 1815, 374, 220, 14, 3], [4, 5, 255, 297, 1925, 1980, 3894, 3234, 2574, 1485, 539, 165, 25, 2], [4, 5, 256, 286, 1980, 1815, 4224, 2772, 3036, 1155, 704, 110, 36, 1], [4, 5, 257, 275, 2035, 1650, 4554, 2310, 3498, 825, 869, 55, 47, 0], [4, 6, 242, 374, 1650, 2640, 2772, 4620, 1320, 2310, 154, 286, 2, 4], [4, 6, 243, 363, 1705, 2475, 3102, 4158, 1782, 1980, 319, 231, 13, 3], [4, 6, 244, 352, 1760, 2310, 3432, 3696, 2244, 1650, 484, 176, 24, 2], [4, 6, 245, 341, 1815, 2145, 3762, 3234, 2706, 1320, 649, 121, 35, 1], [4, 6, 246, 330, 1870, 1980, 4092, 2772, 3168, 990, 814, 66, 46, 0], [4, 7, 231, 429, 1485, 2970, 2310, 5082, 990, 2475, 99, 297, 1, 4], [4, 7, 232, 418, 1540, 2805, 2640, 4620, 1452, 2145, 264, 242, 12, 3], [4, 7, 233, 407, 1595, 2640, 2970, 4158, 1914, 1815, 429, 187, 23, 2], [4, 7, 234, 396, 1650, 2475, 3300, 3696, 2376, 1485, 594, 132, 34, 1], [4, 7, 235, 385, 1705, 2310, 3630, 3234, 2838, 1155, 759, 77, 45, 0], [4, 8, 220, 484, 1320, 3300, 1848, 5544, 660, 2640, 44, 308, 0, 4], [4, 8, 221, 473, 1375, 3135, 2178, 5082, 1122, 2310, 209, 253, 11, 3], [4, 8, 222, 462, 1430, 2970, 2508, 4620, 1584, 1980, 374, 198, 22, 2], [4, 8, 223, 451, 1485, 2805, 2838, 4158, 2046, 1650, 539, 143, 33, 1], [4, 8, 224, 440, 1540, 2640, 3168, 3696, 2508, 1320, 704, 88, 44, 0], [4, 9, 210, 528, 1210, 3465, 1716, 5544, 792, 2475, 154, 264, 10, 3], [4, 9, 211, 517, 1265, 3300, 2046, 5082, 1254, 2145, 319, 209, 21, 2], [4, 9, 212, 506, 1320, 3135, 2376, 4620, 1716, 1815, 484, 154, 32, 1], [4, 9, 213, 495, 1375, 2970, 2706, 4158, 2178, 1485, 649, 99, 43, 0], [4, 10, 199, 583, 1045, 3795, 1254, 6006, 462, 2640, 99, 275, 9, 3], [4, 10, 200, 572, 1100, 3630, 1584, 5544, 924, 2310, 264, 220, 20, 2], [4, 10, 201, 561, 1155, 3465, 1914, 5082, 1386, 1980, 429, 165, 31, 1], [4, 10, 202, 550, 1210, 3300, 2244, 4620, 1848, 1650, 594, 110, 42, 0], [4, 11, 188, 638, 880, 4125, 792, 6468, 132, 2805, 44, 286, 8, 3], [4, 11, 189, 627, 935, 3960, 1122, 6006, 594, 2475, 209, 231, 19, 2], [4, 11, 190, 616, 990, 3795, 1452, 5544, 1056, 2145, 374, 176, 30, 1], [4, 11, 191, 605, 1045, 3630, 1782, 5082, 1518, 1815, 539, 121, 41, 0], [4, 12, 178, 682, 770, 4290, 660, 6468, 264, 2640, 154, 242, 18, 2], [4, 12, 179, 671, 825, 4125, 990, 6006, 726, 2310, 319, 187, 29, 1], [4, 12, 180, 660, 880, 3960, 1320, 5544, 1188, 1980, 484, 132, 40, 0], [4, 13, 168, 726, 660, 4455, 528, 6468, 396, 2475, 264, 198, 28, 1], [4, 13, 169, 715, 715, 4290, 858, 6006, 858, 2145, 429, 143, 39, 0], [4, 14, 157, 781, 495, 4785, 66, 6930, 66, 2640, 209, 209, 27, 1], [4, 14, 158, 770, 550, 4620, 396, 6468, 528, 2310, 374, 154, 38, 0], [5, 0, 243, 473, 1210, 3663, 1254, 6138, 297, 2750, 55, 285, 8, 3], [5, 0, 244, 462, 1265, 3498, 1584, 5676, 759, 2420, 220, 230, 19, 2], [5, 0, 245, 451, 1320, 3333, 1914, 5214, 1221, 2090, 385, 175, 30, 1], [5, 0, 246, 440, 1375, 3168, 2244, 4752, 1683, 1760, 550, 120, 41, 0], [5, 1, 233, 517, 1100, 3828, 1122, 6138, 429, 2585, 165, 241, 18, 2], [5, 1, 234, 506, 1155, 3663, 1452, 5676, 891, 2255, 330, 186, 29, 1], [5, 1, 235, 495, 1210, 3498, 1782, 5214, 1353, 1925, 495, 131, 40, 0], [5, 2, 222, 572, 935, 4158, 660, 6600, 99, 2750, 110, 252, 17, 2], [5, 2, 223, 561, 990, 3993, 990, 6138, 561, 2420, 275, 197, 28, 1], [5, 2, 224, 550, 1045, 3828, 1320, 5676, 1023, 2090, 440, 142, 39, 0], [5, 3, 212, 616, 825, 4323, 528, 6600, 231, 2585, 220, 208, 27, 1], [5, 3, 213, 605, 880, 4158, 858, 6138, 693, 2255, 385, 153, 38, 0], [5, 4, 202, 660, 715, 4488, 396, 6600, 363, 2420, 330, 164, 37, 0]} (14, 16384, 10) has 1441 possible DDs: {[0, 13, 154, 21, 1903, 704, 3795, 4026, 1254, 3773, 0, 673, 59, 6, 3], [0, 13, 155, 10, 1958, 539, 4125, 3564, 1716, 3443, 165, 618, 70, 5, 3], [0, 13, 156, 0, 2002, 429, 4290, 3432, 1716, 3575, 0, 728, 26, 15, 2], [0, 14, 144, 65, 1793, 869, 3663, 4026, 1386, 3608, 110, 629, 69, 5, 3], [0, 14, 145, 54, 1848, 704, 3993, 3564, 1848, 3278, 275, 574, 80, 4, 3], [0, 14, 146, 43, 1903, 539, 4323, 3102, 2310, 2948, 440, 519, 91, 3, 3], [0, 14, 146, 44, 1892, 594, 4158, 3432, 1848, 3410, 110, 684, 36, 14, 2], [0, 14, 147, 32, 1958, 374, 4653, 2640, 2772, 2618, 605, 464, 102, 2, 3], [0, 14, 147, 33, 1947, 429, 4488, 2970, 2310, 3080, 275, 629, 47, 13, 2], [0, 14, 148, 21, 2013, 209, 4983, 2178, 3234, 2288, 770, 409, 113, 1, 3], [0, 14, 148, 22, 2002, 264, 4818, 2508, 2772, 2750, 440, 574, 58, 12, 2], [0, 14, 148, 23, 1991, 319, 4653, 2838, 2310, 3212, 110, 739, 3, 23, 1], [0, 14, 149, 10, 2068, 44, 5313, 1716, 3696, 1958, 935, 354, 124, 0, 3], [0, 14, 149, 11, 2057, 99, 5148, 2046, 3234, 2420, 605, 519, 69, 11, 2], [0, 14, 149, 12, 2046, 154, 4983, 2376, 2772, 2882, 275, 684, 14, 22, 1], [0, 15, 133, 120, 1628, 1199, 3201, 4488, 1056, 3773, 55, 640, 68, 5, 3], [0, 15, 134, 109, 1683, 1034, 3531, 4026, 1518, 3443, 220, 585, 79, 4, 3], [0, 15, 135, 98, 1738, 869, 3861, 3564, 1980, 3113, 385, 530, 90, 3, 3], [0, 15, 135, 99, 1727, 924, 3696, 3894, 1518, 3575, 55, 695, 35, 14, 2], [0, 15, 136, 87, 1793, 704, 4191, 3102, 2442, 2783, 550, 475, 101, 2, 3], [0, 15, 136, 88, 1782, 759, 4026, 3432, 1980, 3245, 220, 640, 46, 13, 2], [0, 15, 137, 76, 1848, 539, 4521, 2640, 2904, 2453, 715, 420, 112, 1, 3], [0, 15, 137, 77, 1837, 594, 4356, 2970, 2442, 2915, 385, 585, 57, 12, 2], [0, 15, 137, 78, 1826, 649, 4191, 3300, 1980, 3377, 55, 750, 2, 23, 1], [0, 15, 138, 65, 1903, 374, 4851, 2178, 3366, 2123, 880, 365, 123, 0, 3], [0, 15, 138, 66, 1892, 429, 4686, 2508, 2904, 2585, 550, 530, 68, 11, 2], [0, 15, 138, 67, 1881, 484, 4521, 2838, 2442, 3047, 220, 695, 13, 22, 1], [0, 15, 139, 55, 1947, 264, 5016, 2046, 3366, 2255, 715, 475, 79, 10, 2], [0, 15, 139, 56, 1936, 319, 4851, 2376, 2904, 2717, 385, 640, 24, 21, 1], [0, 15, 140, 44, 2002, 99, 5346, 1584, 3828, 1925, 880, 420, 90, 9, 2], [0, 15, 140, 45, 1991, 154, 5181, 1914, 3366, 2387, 550, 585, 35, 20, 1], [0, 16, 122, 175, 1463, 1529, 2739, 4950, 726, 3938, 0, 651, 67, 5, 3], [0, 16, 123, 164, 1518, 1364, 3069, 4488, 1188, 3608, 165, 596, 78, 4, 3], [0, 16, 124, 153, 1573, 1199, 3399, 4026, 1650, 3278, 330, 541, 89, 3, 3], [0, 16, 124, 154, 1562, 1254, 3234, 4356, 1188, 3740, 0, 706, 34, 14, 2], [0, 16, 125, 142, 1628, 1034, 3729, 3564, 2112, 2948, 495, 486, 100, 2, 3], [0, 16, 125, 143, 1617, 1089, 3564, 3894, 1650, 3410, 165, 651, 45, 13, 2], [0, 16, 126, 131, 1683, 869, 4059, 3102, 2574, 2618, 660, 431, 111, 1, 3], [0, 16, 126, 132, 1672, 924, 3894, 3432, 2112, 3080, 330, 596, 56, 12, 2], [0, 16, 126, 133, 1661, 979, 3729, 3762, 1650, 3542, 0, 761, 1, 23, 1], [0, 16, 127, 120, 1738, 704, 4389, 2640, 3036, 2288, 825, 376, 122, 0, 3], [0, 16, 127, 121, 1727, 759, 4224, 2970, 2574, 2750, 495, 541, 67, 11, 2], [0, 16, 127, 122, 1716, 814, 4059, 3300, 2112, 3212, 165, 706, 12, 22, 1], [0, 16, 128, 110, 1782, 594, 4554, 2508, 3036, 2420, 660, 486, 78, 10, 2], [0, 16, 128, 111, 1771, 649, 4389, 2838, 2574, 2882, 330, 651, 23, 21, 1], [0, 16, 129, 99, 1837, 429, 4884, 2046, 3498, 2090, 825, 431, 89, 9, 2], [0, 16, 129, 100, 1826, 484, 4719, 2376, 3036, 2552, 495, 596, 34, 20, 1], [0, 16, 130, 88, 1892, 264, 5214, 1584, 3960, 1760, 990, 376, 100, 8, 2], [0, 16, 130, 89, 1881, 319, 5049, 1914, 3498, 2222, 660, 541, 45, 19, 1], [0, 16, 131, 77, 1947, 99, 5544, 1122, 4422, 1430, 1155, 321, 111, 7, 2], [0, 16, 131, 78, 1936, 154, 5379, 1452, 3960, 1892, 825, 486, 56, 18, 1], [0, 16, 131, 79, 1925, 209, 5214, 1782, 3498, 2354, 495, 651, 1, 29, 0], [0, 16, 132, 68, 1980, 44, 5544, 1320, 3960, 2024, 660, 596, 12, 28, 0], [0, 17, 112, 219, 1353, 1694, 2607, 4950, 858, 3773, 110, 607, 77, 4, 3], [0, 17, 113, 208, 1408, 1529, 2937, 4488, 1320, 3443, 275, 552, 88, 3, 3], [0, 17, 114, 197, 1463, 1364, 3267, 4026, 1782, 3113, 440, 497, 99, 2, 3], [0, 17, 114, 198, 1452, 1419, 3102, 4356, 1320, 3575, 110, 662, 44, 13, 2], [0, 17, 115, 186, 1518, 1199, 3597, 3564, 2244, 2783, 605, 442, 110, 1, 3], [0, 17, 115, 187, 1507, 1254, 3432, 3894, 1782, 3245, 275, 607, 55, 12, 2], [0, 17, 116, 175, 1573, 1034, 3927, 3102, 2706, 2453, 770, 387, 121, 0, 3], [0, 17, 116, 176, 1562, 1089, 3762, 3432, 2244, 2915, 440, 552, 66, 11, 2], [0, 17, 116, 177, 1551, 1144, 3597, 3762, 1782, 3377, 110, 717, 11, 22, 1], [0, 17, 117, 165, 1617, 924, 4092, 2970, 2706, 2585, 605, 497, 77, 10, 2], [0, 17, 117, 166, 1606, 979, 3927, 3300, 2244, 3047, 275, 662, 22, 21, 1], [0, 17, 118, 154, 1672, 759, 4422, 2508, 3168, 2255, 770, 442, 88, 9, 2], [0, 17, 118, 155, 1661, 814, 4257, 2838, 2706, 2717, 440, 607, 33, 20, 1], [0, 17, 119, 143, 1727, 594, 4752, 2046, 3630, 1925, 935, 387, 99, 8, 2], [0, 17, 119, 144, 1716, 649, 4587, 2376, 3168, 2387, 605, 552, 44, 19, 1], [0, 17, 120, 132, 1782, 429, 5082, 1584, 4092, 1595, 1100, 332, 110, 7, 2], [0, 17, 120, 133, 1771, 484, 4917, 1914, 3630, 2057, 770, 497, 55, 18, 1], [0, 17, 120, 134, 1760, 539, 4752, 2244, 3168, 2519, 440, 662, 0, 29, 0], [0, 17, 121, 121, 1837, 264, 5412, 1122, 4554, 1265, 1265, 277, 121, 6, 2], [0, 17, 121, 122, 1826, 319, 5247, 1452, 4092, 1727, 935, 442, 66, 17, 1], [0, 17, 121, 123, 1815, 374, 5082, 1782, 3630, 2189, 605, 607, 11, 28, 0], [0, 17, 122, 110, 1892, 99, 5742, 660, 5016, 935, 1430, 222, 132, 5, 2], [0, 17, 122, 111, 1881, 154, 5577, 990, 4554, 1397, 1100, 387, 77, 16, 1], [0, 17, 122, 112, 1870, 209, 5412, 1320, 4092, 1859, 770, 552, 22, 27, 0], [0, 17, 123, 101, 1925, 44, 5742, 858, 4554, 1529, 935, 497, 33, 26, 0], [0, 18, 101, 274, 1188, 2024, 2145, 5412, 528, 3938, 55, 618, 76, 4, 3], [0, 18, 102, 263, 1243, 1859, 2475, 4950, 990, 3608, 220, 563, 87, 3, 3], [0, 18, 103, 252, 1298, 1694, 2805, 4488, 1452, 3278, 385, 508, 98, 2, 3], [0, 18, 103, 253, 1287, 1749, 2640, 4818, 990, 3740, 55, 673, 43, 13, 2], [0, 18, 104, 241, 1353, 1529, 3135, 4026, 1914, 2948, 550, 453, 109, 1, 3], [0, 18, 104, 242, 1342, 1584, 2970, 4356, 1452, 3410, 220, 618, 54, 12, 2], [0, 18, 105, 230, 1408, 1364, 3465, 3564, 2376, 2618, 715, 398, 120, 0, 3], [0, 18, 105, 231, 1397, 1419, 3300, 3894, 1914, 3080, 385, 563, 65, 11, 2], [0, 18, 105, 232, 1386, 1474, 3135, 4224, 1452, 3542, 55, 728, 10, 22, 1], [0, 18, 106, 220, 1452, 1254, 3630, 3432, 2376, 2750, 550, 508, 76, 10, 2], [0, 18, 106, 221, 1441, 1309, 3465, 3762, 1914, 3212, 220, 673, 21, 21, 1], [0, 18, 107, 209, 1507, 1089, 3960, 2970, 2838, 2420, 715, 453, 87, 9, 2], [0, 18, 107, 210, 1496, 1144, 3795, 3300, 2376, 2882, 385, 618, 32, 20, 1], [0, 18, 108, 198, 1562, 924, 4290, 2508, 3300, 2090, 880, 398, 98, 8, 2], [0, 18, 108, 199, 1551, 979, 4125, 2838, 2838, 2552, 550, 563, 43, 19, 1], [0, 18, 109, 187, 1617, 759, 4620, 2046, 3762, 1760, 1045, 343, 109, 7, 2], [0, 18, 109, 188, 1606, 814, 4455, 2376, 3300, 2222, 715, 508, 54, 18, 1], [0, 18, 110, 176, 1672, 594, 4950, 1584, 4224, 1430, 1210, 288, 120, 6, 2], [0, 18, 110, 177, 1661, 649, 4785, 1914, 3762, 1892, 880, 453, 65, 17, 1], [0, 18, 110, 178, 1650, 704, 4620, 2244, 3300, 2354, 550, 618, 10, 28, 0], [0, 18, 111, 165, 1727, 429, 5280, 1122, 4686, 1100, 1375, 233, 131, 5, 2], [0, 18, 111, 166, 1716, 484, 5115, 1452, 4224, 1562, 1045, 398, 76, 16, 1], [0, 18, 111, 167, 1705, 539, 4950, 1782, 3762, 2024, 715, 563, 21, 27, 0], [0, 18, 112, 154, 1782, 264, 5610, 660, 5148, 770, 1540, 178, 142, 4, 2], [0, 18, 112, 155, 1771, 319, 5445, 990, 4686, 1232, 1210, 343, 87, 15, 1], [0, 18, 112, 156, 1760, 374, 5280, 1320, 4224, 1694, 880, 508, 32, 26, 0], [0, 18, 113, 143, 1837, 99, 5940, 198, 5610, 440, 1705, 123, 153, 3, 2], [0, 18, 113, 144, 1826, 154, 5775, 528, 5148, 902, 1375, 288, 98, 14, 1], [0, 18, 113, 145, 1815, 209, 5610, 858, 4686, 1364, 1045, 453, 43, 25, 0], [0, 18, 114, 134, 1870, 44, 5940, 396, 5148, 1034, 1210, 398, 54, 24, 0], [0, 19, 90, 329, 1023, 2354, 1683, 5874, 198, 4103, 0, 629, 75, 4, 3], [0, 19, 91, 318, 1078, 2189, 2013, 5412, 660, 3773, 165, 574, 86, 3, 3], [0, 19, 92, 307, 1133, 2024, 2343, 4950, 1122, 3443, 330, 519, 97, 2, 3], [0, 19, 92, 308, 1122, 2079, 2178, 5280, 660, 3905, 0, 684, 42, 13, 2], [0, 19, 93, 296, 1188, 1859, 2673, 4488, 1584, 3113, 495, 464, 108, 1, 3], [0, 19, 93, 297, 1177, 1914, 2508, 4818, 1122, 3575, 165, 629, 53, 12, 2], [0, 19, 94, 285, 1243, 1694, 3003, 4026, 2046, 2783, 660, 409, 119, 0, 3], [0, 19, 94, 286, 1232, 1749, 2838, 4356, 1584, 3245, 330, 574, 64, 11, 2], [0, 19, 94, 287, 1221, 1804, 2673, 4686, 1122, 3707, 0, 739, 9, 22, 1], [0, 19, 95, 275, 1287, 1584, 3168, 3894, 2046, 2915, 495, 519, 75, 10, 2], [0, 19, 95, 276, 1276, 1639, 3003, 4224, 1584, 3377, 165, 684, 20, 21, 1], [0, 19, 96, 264, 1342, 1419, 3498, 3432, 2508, 2585, 660, 464, 86, 9, 2], [0, 19, 96, 265, 1331, 1474, 3333, 3762, 2046, 3047, 330, 629, 31, 20, 1], [0, 19, 97, 253, 1397, 1254, 3828, 2970, 2970, 2255, 825, 409, 97, 8, 2], [0, 19, 97, 254, 1386, 1309, 3663, 3300, 2508, 2717, 495, 574, 42, 19, 1], [0, 19, 98, 242, 1452, 1089, 4158, 2508, 3432, 1925, 990, 354, 108, 7, 2], [0, 19, 98, 243, 1441, 1144, 3993, 2838, 2970, 2387, 660, 519, 53, 18, 1], [0, 19, 99, 231, 1507, 924, 4488, 2046, 3894, 1595, 1155, 299, 119, 6, 2], [0, 19, 99, 232, 1496, 979, 4323, 2376, 3432, 2057, 825, 464, 64, 17, 1], [0, 19, 99, 233, 1485, 1034, 4158, 2706, 2970, 2519, 495, 629, 9, 28, 0], [0, 19, 100, 220, 1562, 759, 4818, 1584, 4356, 1265, 1320, 244, 130, 5, 2], [0, 19, 100, 221, 1551, 814, 4653, 1914, 3894, 1727, 990, 409, 75, 16, 1], [0, 19, 100, 222, 1540, 869, 4488, 2244, 3432, 2189, 660, 574, 20, 27, 0], [0, 19, 101, 209, 1617, 594, 5148, 1122, 4818, 935, 1485, 189, 141, 4, 2], [0, 19, 101, 210, 1606, 649, 4983, 1452, 4356, 1397, 1155, 354, 86, 15, 1], [0, 19, 101, 211, 1595, 704, 4818, 1782, 3894, 1859, 825, 519, 31, 26, 0], [0, 19, 102, 198, 1672, 429, 5478, 660, 5280, 605, 1650, 134, 152, 3, 2], [0, 19, 102, 199, 1661, 484, 5313, 990, 4818, 1067, 1320, 299, 97, 14, 1], [0, 19, 102, 200, 1650, 539, 5148, 1320, 4356, 1529, 990, 464, 42, 25, 0], [0, 19, 103, 187, 1727, 264, 5808, 198, 5742, 275, 1815, 79, 163, 2, 2], [0, 19, 103, 188, 1716, 319, 5643, 528, 5280, 737, 1485, 244, 108, 13, 1], [0, 19, 103, 189, 1705, 374, 5478, 858, 4818, 1199, 1155, 409, 53, 24, 0], [0, 19, 104, 177, 1771, 154, 5973, 66, 5742, 407, 1650, 189, 119, 12, 1], [0, 19, 104, 178, 1760, 209, 5808, 396, 5280, 869, 1320, 354, 64, 23, 0], [0, 20, 80, 373, 913, 2519, 1551, 5874, 330, 3938, 110, 585, 85, 3, 3], [0, 20, 81, 362, 968, 2354, 1881, 5412, 792, 3608, 275, 530, 96, 2, 3], [0, 20, 82, 351, 1023, 2189, 2211, 4950, 1254, 3278, 440, 475, 107, 1, 3], [0, 20, 82, 352, 1012, 2244, 2046, 5280, 792, 3740, 110, 640, 52, 12, 2], [0, 20, 83, 340, 1078, 2024, 2541, 4488, 1716, 2948, 605, 420, 118, 0, 3], [0, 20, 83, 341, 1067, 2079, 2376, 4818, 1254, 3410, 275, 585, 63, 11, 2], [0, 20, 84, 330, 1122, 1914, 2706, 4356, 1716, 3080, 440, 530, 74, 10, 2], [0, 20, 84, 331, 1111, 1969, 2541, 4686, 1254, 3542, 110, 695, 19, 21, 1], [0, 20, 85, 319, 1177, 1749, 3036, 3894, 2178, 2750, 605, 475, 85, 9, 2], [0, 20, 85, 320, 1166, 1804, 2871, 4224, 1716, 3212, 275, 640, 30, 20, 1], [0, 20, 86, 308, 1232, 1584, 3366, 3432, 2640, 2420, 770, 420, 96, 8, 2], [0, 20, 86, 309, 1221, 1639, 3201, 3762, 2178, 2882, 440, 585, 41, 19, 1], [0, 20, 87, 297, 1287, 1419, 3696, 2970, 3102, 2090, 935, 365, 107, 7, 2], [0, 20, 87, 298, 1276, 1474, 3531, 3300, 2640, 2552, 605, 530, 52, 18, 1], [0, 20, 88, 286, 1342, 1254, 4026, 2508, 3564, 1760, 1100, 310, 118, 6, 2], [0, 20, 88, 287, 1331, 1309, 3861, 2838, 3102, 2222, 770, 475, 63, 17, 1], [0, 20, 88, 288, 1320, 1364, 3696, 3168, 2640, 2684, 440, 640, 8, 28, 0], [0, 20, 89, 275, 1397, 1089, 4356, 2046, 4026, 1430, 1265, 255, 129, 5, 2], [0, 20, 89, 276, 1386, 1144, 4191, 2376, 3564, 1892, 935, 420, 74, 16, 1], [0, 20, 89, 277, 1375, 1199, 4026, 2706, 3102, 2354, 605, 585, 19, 27, 0], [0, 20, 90, 264, 1452, 924, 4686, 1584, 4488, 1100, 1430, 200, 140, 4, 2], [0, 20, 90, 265, 1441, 979, 4521, 1914, 4026, 1562, 1100, 365, 85, 15, 1], [0, 20, 90, 266, 1430, 1034, 4356, 2244, 3564, 2024, 770, 530, 30, 26, 0], [0, 20, 91, 253, 1507, 759, 5016, 1122, 4950, 770, 1595, 145, 151, 3, 2], [0, 20, 91, 254, 1496, 814, 4851, 1452, 4488, 1232, 1265, 310, 96, 14, 1], [0, 20, 91, 255, 1485, 869, 4686, 1782, 4026, 1694, 935, 475, 41, 25, 0], [0, 20, 92, 242, 1562, 594, 5346, 660, 5412, 440, 1760, 90, 162, 2, 2], [0, 20, 92, 243, 1551, 649, 5181, 990, 4950, 902, 1430, 255, 107, 13, 1], [0, 20, 92, 244, 1540, 704, 5016, 1320, 4488, 1364, 1100, 420, 52, 24, 0], [0, 20, 93, 231, 1617, 429, 5676, 198, 5874, 110, 1925, 35, 173, 1, 2], [0, 20, 93, 232, 1606, 484, 5511, 528, 5412, 572, 1595, 200, 118, 12, 1], [0, 20, 93, 233, 1595, 539, 5346, 858, 4950, 1034, 1265, 365, 63, 23, 0], [0, 20, 94, 221, 1661, 319, 5841, 66, 5874, 242, 1760, 145, 129, 11, 1], [0, 20, 94, 222, 1650, 374, 5676, 396, 5412, 704, 1430, 310, 74, 22, 0], [0, 21, 69, 428, 748, 2849, 1089, 6336, 0, 4103, 55, 596, 84, 3, 3], [0, 21, 70, 417, 803, 2684, 1419, 5874, 462, 3773, 220, 541, 95, 2, 3], [0, 21, 71, 406, 858, 2519, 1749, 5412, 924, 3443, 385, 486, 106, 1, 3], [0, 21, 71, 407, 847, 2574, 1584, 5742, 462, 3905, 55, 651, 51, 12, 2], [0, 21, 72, 395, 913, 2354, 2079, 4950, 1386, 3113, 550, 431, 117, 0, 3], [0, 21, 72, 396, 902, 2409, 1914, 5280, 924, 3575, 220, 596, 62, 11, 2], [0, 21, 73, 385, 957, 2244, 2244, 4818, 1386, 3245, 385, 541, 73, 10, 2], [0, 21, 73, 386, 946, 2299, 2079, 5148, 924, 3707, 55, 706, 18, 21, 1], [0, 21, 74, 374, 1012, 2079, 2574, 4356, 1848, 2915, 550, 486, 84, 9, 2], [0, 21, 74, 375, 1001, 2134, 2409, 4686, 1386, 3377, 220, 651, 29, 20, 1], [0, 21, 75, 363, 1067, 1914, 2904, 3894, 2310, 2585, 715, 431, 95, 8, 2], [0, 21, 75, 364, 1056, 1969, 2739, 4224, 1848, 3047, 385, 596, 40, 19, 1], [0, 21, 76, 352, 1122, 1749, 3234, 3432, 2772, 2255, 880, 376, 106, 7, 2], [0, 21, 76, 353, 1111, 1804, 3069, 3762, 2310, 2717, 550, 541, 51, 18, 1], [0, 21, 77, 341, 1177, 1584, 3564, 2970, 3234, 1925, 1045, 321, 117, 6, 2], [0, 21, 77, 342, 1166, 1639, 3399, 3300, 2772, 2387, 715, 486, 62, 17, 1], [0, 21, 77, 343, 1155, 1694, 3234, 3630, 2310, 2849, 385, 651, 7, 28, 0], [0, 21, 78, 330, 1232, 1419, 3894, 2508, 3696, 1595, 1210, 266, 128, 5, 2], [0, 21, 78, 331, 1221, 1474, 3729, 2838, 3234, 2057, 880, 431, 73, 16, 1], [0, 21, 78, 332, 1210, 1529, 3564, 3168, 2772, 2519, 550, 596, 18, 27, 0], [0, 21, 79, 319, 1287, 1254, 4224, 2046, 4158, 1265, 1375, 211, 139, 4, 2], [0, 21, 79, 320, 1276, 1309, 4059, 2376, 3696, 1727, 1045, 376, 84, 15, 1], [0, 21, 79, 321, 1265, 1364, 3894, 2706, 3234, 2189, 715, 541, 29, 26, 0], [0, 21, 80, 308, 1342, 1089, 4554, 1584, 4620, 935, 1540, 156, 150, 3, 2], [0, 21, 80, 309, 1331, 1144, 4389, 1914, 4158, 1397, 1210, 321, 95, 14, 1], [0, 21, 80, 310, 1320, 1199, 4224, 2244, 3696, 1859, 880, 486, 40, 25, 0], [0, 21, 81, 297, 1397, 924, 4884, 1122, 5082, 605, 1705, 101, 161, 2, 2], [0, 21, 81, 298, 1386, 979, 4719, 1452, 4620, 1067, 1375, 266, 106, 13, 1], [0, 21, 81, 299, 1375, 1034, 4554, 1782, 4158, 1529, 1045, 431, 51, 24, 0], [0, 21, 82, 286, 1452, 759, 5214, 660, 5544, 275, 1870, 46, 172, 1, 2], [0, 21, 82, 287, 1441, 814, 5049, 990, 5082, 737, 1540, 211, 117, 12, 1], [0, 21, 82, 288, 1430, 869, 4884, 1320, 4620, 1199, 1210, 376, 62, 23, 0], [0, 21, 83, 276, 1496, 649, 5379, 528, 5544, 407, 1705, 156, 128, 11, 1], [0, 21, 83, 277, 1485, 704, 5214, 858, 5082, 869, 1375, 321, 73, 22, 0], [0, 21, 84, 265, 1551, 484, 5709, 66, 6006, 77, 1870, 101, 139, 10, 1], [0, 21, 84, 266, 1540, 539, 5544, 396, 5544, 539, 1540, 266, 84, 21, 0], [0, 22, 59, 472, 638, 3014, 957, 6336, 132, 3938, 165, 552, 94, 2, 3], [0, 22, 60, 461, 693, 2849, 1287, 5874, 594, 3608, 330, 497, 105, 1, 3], [0, 22, 60, 462, 682, 2904, 1122, 6204, 132, 4070, 0, 662, 50, 12, 2], [0, 22, 61, 450, 748, 2684, 1617, 5412, 1056, 3278, 495, 442, 116, 0, 3], [0, 22, 61, 451, 737, 2739, 1452, 5742, 594, 3740, 165, 607, 61, 11, 2], [0, 22, 62, 440, 792, 2574, 1782, 5280, 1056, 3410, 330, 552, 72, 10, 2], [0, 22, 62, 441, 781, 2629, 1617, 5610, 594, 3872, 0, 717, 17, 21, 1], [0, 22, 63, 429, 847, 2409, 2112, 4818, 1518, 3080, 495, 497, 83, 9, 2], [0, 22, 63, 430, 836, 2464, 1947, 5148, 1056, 3542, 165, 662, 28, 20, 1], [0, 22, 64, 418, 902, 2244, 2442, 4356, 1980, 2750, 660, 442, 94, 8, 2], [0, 22, 64, 419, 891, 2299, 2277, 4686, 1518, 3212, 330, 607, 39, 19, 1], [0, 22, 65, 407, 957, 2079, 2772, 3894, 2442, 2420, 825, 387, 105, 7, 2], [0, 22, 65, 408, 946, 2134, 2607, 4224, 1980, 2882, 495, 552, 50, 18, 1], [0, 22, 66, 396, 1012, 1914, 3102, 3432, 2904, 2090, 990, 332, 116, 6, 2], [0, 22, 66, 397, 1001, 1969, 2937, 3762, 2442, 2552, 660, 497, 61, 17, 1], [0, 22, 66, 398, 990, 2024, 2772, 4092, 1980, 3014, 330, 662, 6, 28, 0], [0, 22, 67, 385, 1067, 1749, 3432, 2970, 3366, 1760, 1155, 277, 127, 5, 2], [0, 22, 67, 386, 1056, 1804, 3267, 3300, 2904, 2222, 825, 442, 72, 16, 1], [0, 22, 67, 387, 1045, 1859, 3102, 3630, 2442, 2684, 495, 607, 17, 27, 0], [0, 22, 68, 374, 1122, 1584, 3762, 2508, 3828, 1430, 1320, 222, 138, 4, 2], [0, 22, 68, 375, 1111, 1639, 3597, 2838, 3366, 1892, 990, 387, 83, 15, 1], [0, 22, 68, 376, 1100, 1694, 3432, 3168, 2904, 2354, 660, 552, 28, 26, 0], [0, 22, 69, 363, 1177, 1419, 4092, 2046, 4290, 1100, 1485, 167, 149, 3, 2], [0, 22, 69, 364, 1166, 1474, 3927, 2376, 3828, 1562, 1155, 332, 94, 14, 1], [0, 22, 69, 365, 1155, 1529, 3762, 2706, 3366, 2024, 825, 497, 39, 25, 0], [0, 22, 70, 352, 1232, 1254, 4422, 1584, 4752, 770, 1650, 112, 160, 2, 2], [0, 22, 70, 353, 1221, 1309, 4257, 1914, 4290, 1232, 1320, 277, 105, 13, 1], [0, 22, 70, 354, 1210, 1364, 4092, 2244, 3828, 1694, 990, 442, 50, 24, 0], [0, 22, 71, 341, 1287, 1089, 4752, 1122, 5214, 440, 1815, 57, 171, 1, 2], [0, 22, 71, 342, 1276, 1144, 4587, 1452, 4752, 902, 1485, 222, 116, 12, 1], [0, 22, 71, 343, 1265, 1199, 4422, 1782, 4290, 1364, 1155, 387, 61, 23, 0], [0, 22, 72, 330, 1342, 924, 5082, 660, 5676, 110, 1980, 2, 182, 0, 2], [0, 22, 72, 331, 1331, 979, 4917, 990, 5214, 572, 1650, 167, 127, 11, 1], [0, 22, 72, 332, 1320, 1034, 4752, 1320, 4752, 1034, 1320, 332, 72, 22, 0], [0, 22, 73, 320, 1386, 814, 5247, 528, 5676, 242, 1815, 112, 138, 10, 1], [0, 22, 73, 321, 1375, 869, 5082, 858, 5214, 704, 1485, 277, 83, 21, 0], [0, 22, 74, 310, 1430, 704, 5412, 396, 5676, 374, 1650, 222, 94, 20, 0], [0, 23, 49, 516, 528, 3179, 825, 6336, 264, 3773, 275, 508, 104, 1, 3], [0, 23, 50, 505, 583, 3014, 1155, 5874, 726, 3443, 440, 453, 115, 0, 3], [0, 23, 50, 506, 572, 3069, 990, 6204, 264, 3905, 110, 618, 60, 11, 2], [0, 23, 51, 495, 627, 2904, 1320, 5742, 726, 3575, 275, 563, 71, 10, 2], [0, 23, 52, 484, 682, 2739, 1650, 5280, 1188, 3245, 440, 508, 82, 9, 2], [0, 23, 52, 485, 671, 2794, 1485, 5610, 726, 3707, 110, 673, 27, 20, 1], [0, 23, 53, 473, 737, 2574, 1980, 4818, 1650, 2915, 605, 453, 93, 8, 2], [0, 23, 53, 474, 726, 2629, 1815, 5148, 1188, 3377, 275, 618, 38, 19, 1], [0, 23, 54, 462, 792, 2409, 2310, 4356, 2112, 2585, 770, 398, 104, 7, 2], [0, 23, 54, 463, 781, 2464, 2145, 4686, 1650, 3047, 440, 563, 49, 18, 1], [0, 23, 55, 451, 847, 2244, 2640, 3894, 2574, 2255, 935, 343, 115, 6, 2], [0, 23, 55, 452, 836, 2299, 2475, 4224, 2112, 2717, 605, 508, 60, 17, 1], [0, 23, 55, 453, 825, 2354, 2310, 4554, 1650, 3179, 275, 673, 5, 28, 0], [0, 23, 56, 440, 902, 2079, 2970, 3432, 3036, 1925, 1100, 288, 126, 5, 2], [0, 23, 56, 441, 891, 2134, 2805, 3762, 2574, 2387, 770, 453, 71, 16, 1], [0, 23, 56, 442, 880, 2189, 2640, 4092, 2112, 2849, 440, 618, 16, 27, 0], [0, 23, 57, 429, 957, 1914, 3300, 2970, 3498, 1595, 1265, 233, 137, 4, 2], [0, 23, 57, 430, 946, 1969, 3135, 3300, 3036, 2057, 935, 398, 82, 15, 1], [0, 23, 57, 431, 935, 2024, 2970, 3630, 2574, 2519, 605, 563, 27, 26, 0], [0, 23, 58, 418, 1012, 1749, 3630, 2508, 3960, 1265, 1430, 178, 148, 3, 2], [0, 23, 58, 419, 1001, 1804, 3465, 2838, 3498, 1727, 1100, 343, 93, 14, 1], [0, 23, 58, 420, 990, 1859, 3300, 3168, 3036, 2189, 770, 508, 38, 25, 0], [0, 23, 59, 407, 1067, 1584, 3960, 2046, 4422, 935, 1595, 123, 159, 2, 2], [0, 23, 59, 408, 1056, 1639, 3795, 2376, 3960, 1397, 1265, 288, 104, 13, 1], [0, 23, 59, 409, 1045, 1694, 3630, 2706, 3498, 1859, 935, 453, 49, 24, 0], [0, 23, 60, 396, 1122, 1419, 4290, 1584, 4884, 605, 1760, 68, 170, 1, 2], [0, 23, 60, 397, 1111, 1474, 4125, 1914, 4422, 1067, 1430, 233, 115, 12, 1], [0, 23, 60, 398, 1100, 1529, 3960, 2244, 3960, 1529, 1100, 398, 60, 23, 0], [0, 23, 61, 385, 1177, 1254, 4620, 1122, 5346, 275, 1925, 13, 181, 0, 2], [0, 23, 61, 386, 1166, 1309, 4455, 1452, 4884, 737, 1595, 178, 126, 11, 1], [0, 23, 61, 387, 1155, 1364, 4290, 1782, 4422, 1199, 1265, 343, 71, 22, 0], [0, 23, 62, 375, 1221, 1144, 4785, 990, 5346, 407, 1760, 123, 137, 10, 1], [0, 23, 62, 376, 1210, 1199, 4620, 1320, 4884, 869, 1430, 288, 82, 21, 0], [0, 23, 63, 364, 1276, 979, 5115, 528, 5808, 77, 1925, 68, 148, 9, 1], [0, 23, 63, 365, 1265, 1034, 4950, 858, 5346, 539, 1595, 233, 93, 20, 0], [0, 23, 64, 354, 1320, 869, 5280, 396, 5808, 209, 1760, 178, 104, 19, 0], [0, 24, 39, 560, 418, 3344, 693, 6336, 396, 3608, 385, 464, 114, 0, 3], [0, 24, 40, 550, 462, 3234, 858, 6204, 396, 3740, 220, 574, 70, 10, 2], [0, 24, 41, 539, 517, 3069, 1188, 5742, 858, 3410, 385, 519, 81, 9, 2], [0, 24, 41, 540, 506, 3124, 1023, 6072, 396, 3872, 55, 684, 26, 20, 1], [0, 24, 42, 528, 572, 2904, 1518, 5280, 1320, 3080, 550, 464, 92, 8, 2], [0, 24, 42, 529, 561, 2959, 1353, 5610, 858, 3542, 220, 629, 37, 19, 1], [0, 24, 43, 517, 627, 2739, 1848, 4818, 1782, 2750, 715, 409, 103, 7, 2], [0, 24, 43, 518, 616, 2794, 1683, 5148, 1320, 3212, 385, 574, 48, 18, 1], [0, 24, 44, 506, 682, 2574, 2178, 4356, 2244, 2420, 880, 354, 114, 6, 2], [0, 24, 44, 507, 671, 2629, 2013, 4686, 1782, 2882, 550, 519, 59, 17, 1], [0, 24, 44, 508, 660, 2684, 1848, 5016, 1320, 3344, 220, 684, 4, 28, 0], [0, 24, 45, 495, 737, 2409, 2508, 3894, 2706, 2090, 1045, 299, 125, 5, 2], [0, 24, 45, 496, 726, 2464, 2343, 4224, 2244, 2552, 715, 464, 70, 16, 1], [0, 24, 45, 497, 715, 2519, 2178, 4554, 1782, 3014, 385, 629, 15, 27, 0], [0, 24, 46, 484, 792, 2244, 2838, 3432, 3168, 1760, 1210, 244, 136, 4, 2], [0, 24, 46, 485, 781, 2299, 2673, 3762, 2706, 2222, 880, 409, 81, 15, 1], [0, 24, 46, 486, 770, 2354, 2508, 4092, 2244, 2684, 550, 574, 26, 26, 0], [0, 24, 47, 473, 847, 2079, 3168, 2970, 3630, 1430, 1375, 189, 147, 3, 2], [0, 24, 47, 474, 836, 2134, 3003, 3300, 3168, 1892, 1045, 354, 92, 14, 1], [0, 24, 47, 475, 825, 2189, 2838, 3630, 2706, 2354, 715, 519, 37, 25, 0], [0, 24, 48, 462, 902, 1914, 3498, 2508, 4092, 1100, 1540, 134, 158, 2, 2], [0, 24, 48, 463, 891, 1969, 3333, 2838, 3630, 1562, 1210, 299, 103, 13, 1], [0, 24, 48, 464, 880, 2024, 3168, 3168, 3168, 2024, 880, 464, 48, 24, 0], [0, 24, 49, 451, 957, 1749, 3828, 2046, 4554, 770, 1705, 79, 169, 1, 2], [0, 24, 49, 452, 946, 1804, 3663, 2376, 4092, 1232, 1375, 244, 114, 12, 1], [0, 24, 49, 453, 935, 1859, 3498, 2706, 3630, 1694, 1045, 409, 59, 23, 0], [0, 24, 50, 440, 1012, 1584, 4158, 1584, 5016, 440, 1870, 24, 180, 0, 2], [0, 24, 50, 441, 1001, 1639, 3993, 1914, 4554, 902, 1540, 189, 125, 11, 1], [0, 24, 50, 442, 990, 1694, 3828, 2244, 4092, 1364, 1210, 354, 70, 22, 0], [0, 24, 51, 430, 1056, 1474, 4323, 1452, 5016, 572, 1705, 134, 136, 10, 1], [0, 24, 51, 431, 1045, 1529, 4158, 1782, 4554, 1034, 1375, 299, 81, 21, 0], [0, 24, 52, 419, 1111, 1309, 4653, 990, 5478, 242, 1870, 79, 147, 9, 1], [0, 24, 52, 420, 1100, 1364, 4488, 1320, 5016, 704, 1540, 244, 92, 20, 0], [0, 24, 53, 409, 1155, 1199, 4818, 858, 5478, 374, 1705, 189, 103, 19, 0], [0, 24, 54, 398, 1210, 1034, 5148, 396, 5940, 44, 1870, 134, 114, 18, 0], [0, 25, 28, 615, 253, 3674, 231, 6798, 66, 3773, 330, 475, 113, 0, 3], [0, 25, 29, 605, 297, 3564, 396, 6666, 66, 3905, 165, 585, 69, 10, 2], [0, 25, 30, 594, 352, 3399, 726, 6204, 528, 3575, 330, 530, 80, 9, 2], [0, 25, 30, 595, 341, 3454, 561, 6534, 66, 4037, 0, 695, 25, 20, 1], [0, 25, 31, 583, 407, 3234, 1056, 5742, 990, 3245, 495, 475, 91, 8, 2], [0, 25, 31, 584, 396, 3289, 891, 6072, 528, 3707, 165, 640, 36, 19, 1], [0, 25, 32, 572, 462, 3069, 1386, 5280, 1452, 2915, 660, 420, 102, 7, 2], [0, 25, 32, 573, 451, 3124, 1221, 5610, 990, 3377, 330, 585, 47, 18, 1], [0, 25, 33, 561, 517, 2904, 1716, 4818, 1914, 2585, 825, 365, 113, 6, 2], [0, 25, 33, 562, 506, 2959, 1551, 5148, 1452, 3047, 495, 530, 58, 17, 1], [0, 25, 33, 563, 495, 3014, 1386, 5478, 990, 3509, 165, 695, 3, 28, 0], [0, 25, 34, 550, 572, 2739, 2046, 4356, 2376, 2255, 990, 310, 124, 5, 2], [0, 25, 34, 551, 561, 2794, 1881, 4686, 1914, 2717, 660, 475, 69, 16, 1], [0, 25, 34, 552, 550, 2849, 1716, 5016, 1452, 3179, 330, 640, 14, 27, 0], [0, 25, 35, 539, 627, 2574, 2376, 3894, 2838, 1925, 1155, 255, 135, 4, 2], [0, 25, 35, 540, 616, 2629, 2211, 4224, 2376, 2387, 825, 420, 80, 15, 1], [0, 25, 35, 541, 605, 2684, 2046, 4554, 1914, 2849, 495, 585, 25, 26, 0], [0, 25, 36, 528, 682, 2409, 2706, 3432, 3300, 1595, 1320, 200, 146, 3, 2], [0, 25, 36, 529, 671, 2464, 2541, 3762, 2838, 2057, 990, 365, 91, 14, 1], [0, 25, 36, 530, 660, 2519, 2376, 4092, 2376, 2519, 660, 530, 36, 25, 0], [0, 25, 37, 517, 737, 2244, 3036, 2970, 3762, 1265, 1485, 145, 157, 2, 2], [0, 25, 37, 518, 726, 2299, 2871, 3300, 3300, 1727, 1155, 310, 102, 13, 1], [0, 25, 37, 519, 715, 2354, 2706, 3630, 2838, 2189, 825, 475, 47, 24, 0], [0, 25, 38, 506, 792, 2079, 3366, 2508, 4224, 935, 1650, 90, 168, 1, 2], [0, 25, 38, 507, 781, 2134, 3201, 2838, 3762, 1397, 1320, 255, 113, 12, 1], [0, 25, 38, 508, 770, 2189, 3036, 3168, 3300, 1859, 990, 420, 58, 23, 0], [0, 25, 39, 495, 847, 1914, 3696, 2046, 4686, 605, 1815, 35, 179, 0, 2], [0, 25, 39, 496, 836, 1969, 3531, 2376, 4224, 1067, 1485, 200, 124, 11, 1], [0, 25, 39, 497, 825, 2024, 3366, 2706, 3762, 1529, 1155, 365, 69, 22, 0], [0, 25, 40, 485, 891, 1804, 3861, 1914, 4686, 737, 1650, 145, 135, 10, 1], [0, 25, 40, 486, 880, 1859, 3696, 2244, 4224, 1199, 1320, 310, 80, 21, 0], [0, 25, 41, 474, 946, 1639, 4191, 1452, 5148, 407, 1815, 90, 146, 9, 1], [0, 25, 41, 475, 935, 1694, 4026, 1782, 4686, 869, 1485, 255, 91, 20, 0], [0, 25, 42, 463, 1001, 1474, 4521, 990, 5610, 77, 1980, 35, 157, 8, 1], [0, 25, 42, 464, 990, 1529, 4356, 1320, 5148, 539, 1650, 200, 102, 19, 0], [0, 25, 43, 453, 1045, 1364, 4686, 858, 5610, 209, 1815, 145, 113, 18, 0], [0, 26, 19, 649, 187, 3729, 264, 6666, 198, 3740, 275, 541, 79, 9, 2], [0, 26, 20, 638, 242, 3564, 594, 6204, 660, 3410, 440, 486, 90, 8, 2], [0, 26, 20, 639, 231, 3619, 429, 6534, 198, 3872, 110, 651, 35, 19, 1], [0, 26, 21, 627, 297, 3399, 924, 5742, 1122, 3080, 605, 431, 101, 7, 2], [0, 26, 21, 628, 286, 3454, 759, 6072, 660, 3542, 275, 596, 46, 18, 1], [0, 26, 22, 616, 352, 3234, 1254, 5280, 1584, 2750, 770, 376, 112, 6, 2], [0, 26, 22, 617, 341, 3289, 1089, 5610, 1122, 3212, 440, 541, 57, 17, 1], [0, 26, 22, 618, 330, 3344, 924, 5940, 660, 3674, 110, 706, 2, 28, 0], [0, 26, 23, 605, 407, 3069, 1584, 4818, 2046, 2420, 935, 321, 123, 5, 2], [0, 26, 23, 606, 396, 3124, 1419, 5148, 1584, 2882, 605, 486, 68, 16, 1], [0, 26, 23, 607, 385, 3179, 1254, 5478, 1122, 3344, 275, 651, 13, 27, 0], [0, 26, 24, 594, 462, 2904, 1914, 4356, 2508, 2090, 1100, 266, 134, 4, 2], [0, 26, 24, 595, 451, 2959, 1749, 4686, 2046, 2552, 770, 431, 79, 15, 1], [0, 26, 24, 596, 440, 3014, 1584, 5016, 1584, 3014, 440, 596, 24, 26, 0], [0, 26, 25, 583, 517, 2739, 2244, 3894, 2970, 1760, 1265, 211, 145, 3, 2], [0, 26, 25, 584, 506, 2794, 2079, 4224, 2508, 2222, 935, 376, 90, 14, 1], [0, 26, 25, 585, 495, 2849, 1914, 4554, 2046, 2684, 605, 541, 35, 25, 0], [0, 26, 26, 572, 572, 2574, 2574, 3432, 3432, 1430, 1430, 156, 156, 2, 2], [0, 26, 26, 573, 561, 2629, 2409, 3762, 2970, 1892, 1100, 321, 101, 13, 1], [0, 26, 26, 574, 550, 2684, 2244, 4092, 2508, 2354, 770, 486, 46, 24, 0], [0, 26, 27, 561, 627, 2409, 2904, 2970, 3894, 1100, 1595, 101, 167, 1, 2], [0, 26, 27, 562, 616, 2464, 2739, 3300, 3432, 1562, 1265, 266, 112, 12, 1], [0, 26, 27, 563, 605, 2519, 2574, 3630, 2970, 2024, 935, 431, 57, 23, 0], [0, 26, 28, 550, 682, 2244, 3234, 2508, 4356, 770, 1760, 46, 178, 0, 2], [0, 26, 28, 551, 671, 2299, 3069, 2838, 3894, 1232, 1430, 211, 123, 11, 1], [0, 26, 28, 552, 660, 2354, 2904, 3168, 3432, 1694, 1100, 376, 68, 22, 0], [0, 26, 29, 540, 726, 2134, 3399, 2376, 4356, 902, 1595, 156, 134, 10, 1], [0, 26, 29, 541, 715, 2189, 3234, 2706, 3894, 1364, 1265, 321, 79, 21, 0], [0, 26, 30, 529, 781, 1969, 3729, 1914, 4818, 572, 1760, 101, 145, 9, 1], [0, 26, 30, 530, 770, 2024, 3564, 2244, 4356, 1034, 1430, 266, 90, 20, 0], [0, 26, 31, 518, 836, 1804, 4059, 1452, 5280, 242, 1925, 46, 156, 8, 1], [0, 26, 31, 519, 825, 1859, 3894, 1782, 4818, 704, 1595, 211, 101, 19, 0], [0, 26, 32, 508, 880, 1694, 4224, 1320, 5280, 374, 1760, 156, 112, 18, 0], [0, 26, 33, 497, 935, 1529, 4554, 858, 5742, 44, 1925, 101, 123, 17, 0], [0, 27, 9, 693, 77, 3894, 132, 6666, 330, 3575, 385, 497, 89, 8, 2], [0, 27, 10, 682, 132, 3729, 462, 6204, 792, 3245, 550, 442, 100, 7, 2], [0, 27, 10, 683, 121, 3784, 297, 6534, 330, 3707, 220, 607, 45, 18, 1], [0, 27, 11, 671, 187, 3564, 792, 5742, 1254, 2915, 715, 387, 111, 6, 2], [0, 27, 11, 672, 176, 3619, 627, 6072, 792, 3377, 385, 552, 56, 17, 1], [0, 27, 11, 673, 165, 3674, 462, 6402, 330, 3839, 55, 717, 1, 28, 0], [0, 27, 12, 660, 242, 3399, 1122, 5280, 1716, 2585, 880, 332, 122, 5, 2], [0, 27, 12, 661, 231, 3454, 957, 5610, 1254, 3047, 550, 497, 67, 16, 1], [0, 27, 12, 662, 220, 3509, 792, 5940, 792, 3509, 220, 662, 12, 27, 0], [0, 27, 13, 649, 297, 3234, 1452, 4818, 2178, 2255, 1045, 277, 133, 4, 2], [0, 27, 13, 650, 286, 3289, 1287, 5148, 1716, 2717, 715, 442, 78, 15, 1], [0, 27, 13, 651, 275, 3344, 1122, 5478, 1254, 3179, 385, 607, 23, 26, 0], [0, 27, 14, 638, 352, 3069, 1782, 4356, 2640, 1925, 1210, 222, 144, 3, 2], [0, 27, 14, 639, 341, 3124, 1617, 4686, 2178, 2387, 880, 387, 89, 14, 1], [0, 27, 14, 640, 330, 3179, 1452, 5016, 1716, 2849, 550, 552, 34, 25, 0], [0, 27, 15, 627, 407, 2904, 2112, 3894, 3102, 1595, 1375, 167, 155, 2, 2], [0, 27, 15, 628, 396, 2959, 1947, 4224, 2640, 2057, 1045, 332, 100, 13, 1], [0, 27, 15, 629, 385, 3014, 1782, 4554, 2178, 2519, 715, 497, 45, 24, 0], [0, 27, 16, 616, 462, 2739, 2442, 3432, 3564, 1265, 1540, 112, 166, 1, 2], [0, 27, 16, 617, 451, 2794, 2277, 3762, 3102, 1727, 1210, 277, 111, 12, 1], [0, 27, 16, 618, 440, 2849, 2112, 4092, 2640, 2189, 880, 442, 56, 23, 0], [0, 27, 17, 605, 517, 2574, 2772, 2970, 4026, 935, 1705, 57, 177, 0, 2], [0, 27, 17, 606, 506, 2629, 2607, 3300, 3564, 1397, 1375, 222, 122, 11, 1], [0, 27, 17, 607, 495, 2684, 2442, 3630, 3102, 1859, 1045, 387, 67, 22, 0], [0, 27, 18, 595, 561, 2464, 2937, 2838, 4026, 1067, 1540, 167, 133, 10, 1], [0, 27, 18, 596, 550, 2519, 2772, 3168, 3564, 1529, 1210, 332, 78, 21, 0], [0, 27, 19, 584, 616, 2299, 3267, 2376, 4488, 737, 1705, 112, 144, 9, 1], [0, 27, 19, 585, 605, 2354, 3102, 2706, 4026, 1199, 1375, 277, 89, 20, 0], [0, 27, 20, 573, 671, 2134, 3597, 1914, 4950, 407, 1870, 57, 155, 8, 1], [0, 27, 20, 574, 660, 2189, 3432, 2244, 4488, 869, 1540, 222, 100, 19, 0], [0, 27, 21, 562, 726, 1969, 3927, 1452, 5412, 77, 2035, 2, 166, 7, 1], [0, 27, 21, 563, 715, 2024, 3762, 1782, 4950, 539, 1705, 167, 111, 18, 0], [0, 27, 22, 552, 770, 1859, 4092, 1320, 5412, 209, 1870, 112, 122, 17, 0], [0, 28, 0, 726, 22, 3894, 330, 6204, 924, 3080, 660, 398, 110, 6, 2], [0, 28, 0, 727, 11, 3949, 165, 6534, 462, 3542, 330, 563, 55, 17, 1], [0, 28, 0, 728, 0, 4004, 0, 6864, 0, 4004, 0, 728, 0, 28, 0], [0, 28, 1, 715, 77, 3729, 660, 5742, 1386, 2750, 825, 343, 121, 5, 2], [0, 28, 1, 716, 66, 3784, 495, 6072, 924, 3212, 495, 508, 66, 16, 1], [0, 28, 1, 717, 55, 3839, 330, 6402, 462, 3674, 165, 673, 11, 27, 0], [0, 28, 2, 704, 132, 3564, 990, 5280, 1848, 2420, 990, 288, 132, 4, 2], [0, 28, 2, 705, 121, 3619, 825, 5610, 1386, 2882, 660, 453, 77, 15, 1], [0, 28, 2, 706, 110, 3674, 660, 5940, 924, 3344, 330, 618, 22, 26, 0], [0, 28, 3, 693, 187, 3399, 1320, 4818, 2310, 2090, 1155, 233, 143, 3, 2], [0, 28, 3, 694, 176, 3454, 1155, 5148, 1848, 2552, 825, 398, 88, 14, 1], [0, 28, 3, 695, 165, 3509, 990, 5478, 1386, 3014, 495, 563, 33, 25, 0], [0, 28, 4, 682, 242, 3234, 1650, 4356, 2772, 1760, 1320, 178, 154, 2, 2], [0, 28, 4, 683, 231, 3289, 1485, 4686, 2310, 2222, 990, 343, 99, 13, 1], [0, 28, 4, 684, 220, 3344, 1320, 5016, 1848, 2684, 660, 508, 44, 24, 0], [0, 28, 5, 671, 297, 3069, 1980, 3894, 3234, 1430, 1485, 123, 165, 1, 2], [0, 28, 5, 672, 286, 3124, 1815, 4224, 2772, 1892, 1155, 288, 110, 12, 1], [0, 28, 5, 673, 275, 3179, 1650, 4554, 2310, 2354, 825, 453, 55, 23, 0], [0, 28, 6, 660, 352, 2904, 2310, 3432, 3696, 1100, 1650, 68, 176, 0, 2], [0, 28, 6, 661, 341, 2959, 2145, 3762, 3234, 1562, 1320, 233, 121, 11, 1], [0, 28, 6, 662, 330, 3014, 1980, 4092, 2772, 2024, 990, 398, 66, 22, 0], [0, 28, 7, 650, 396, 2794, 2475, 3300, 3696, 1232, 1485, 178, 132, 10, 1], [0, 28, 7, 651, 385, 2849, 2310, 3630, 3234, 1694, 1155, 343, 77, 21, 0], [0, 28, 8, 639, 451, 2629, 2805, 2838, 4158, 902, 1650, 123, 143, 9, 1], [0, 28, 8, 640, 440, 2684, 2640, 3168, 3696, 1364, 1320, 288, 88, 20, 0], [0, 28, 9, 628, 506, 2464, 3135, 2376, 4620, 572, 1815, 68, 154, 8, 1], [0, 28, 9, 629, 495, 2519, 2970, 2706, 4158, 1034, 1485, 233, 99, 19, 0], [0, 28, 10, 617, 561, 2299, 3465, 1914, 5082, 242, 1980, 13, 165, 7, 1], [0, 28, 10, 618, 550, 2354, 3300, 2244, 4620, 704, 1650, 178, 110, 18, 0], [0, 28, 11, 607, 605, 2189, 3630, 1782, 5082, 374, 1815, 123, 121, 17, 0], [0, 28, 12, 596, 660, 2024, 3960, 1320, 5544, 44, 1980, 68, 132, 16, 0], [0, 29, 0, 662, 440, 2519, 3168, 2244, 4752, 539, 1760, 134, 120, 17, 0], [0, 29, 1, 651, 495, 2354, 3498, 1782, 5214, 209, 1925, 79, 131, 16, 0], [1, 5, 177, 10, 1793, 1067, 3201, 4620, 891, 3883, 11, 650, 67, 5, 3], [1, 6, 167, 54, 1683, 1232, 3069, 4620, 1023, 3718, 121, 606, 77, 4, 3], [1, 6, 168, 43, 1738, 1067, 3399, 4158, 1485, 3388, 286, 551, 88, 3, 3], [1, 6, 169, 32, 1793, 902, 3729, 3696, 1947, 3058, 451, 496, 99, 2, 3], [1, 6, 169, 33, 1782, 957, 3564, 4026, 1485, 3520, 121, 661, 44, 13, 2], [1, 6, 170, 21, 1848, 737, 4059, 3234, 2409, 2728, 616, 441, 110, 1, 3], [1, 6, 170, 22, 1837, 792, 3894, 3564, 1947, 3190, 286, 606, 55, 12, 2], [1, 6, 171, 10, 1903, 572, 4389, 2772, 2871, 2398, 781, 386, 121, 0, 3], [1, 6, 171, 11, 1892, 627, 4224, 3102, 2409, 2860, 451, 551, 66, 11, 2], [1, 6, 171, 12, 1881, 682, 4059, 3432, 1947, 3322, 121, 716, 11, 22, 1], [1, 6, 172, 0, 1947, 462, 4554, 2640, 2871, 2530, 616, 496, 77, 10, 2], [1, 6, 172, 1, 1936, 517, 4389, 2970, 2409, 2992, 286, 661, 22, 21, 1], [1, 7, 156, 109, 1518, 1562, 2607, 5082, 693, 3883, 66, 617, 76, 4, 3], [1, 7, 157, 98, 1573, 1397, 2937, 4620, 1155, 3553, 231, 562, 87, 3, 3], [1, 7, 158, 87, 1628, 1232, 3267, 4158, 1617, 3223, 396, 507, 98, 2, 3], [1, 7, 158, 88, 1617, 1287, 3102, 4488, 1155, 3685, 66, 672, 43, 13, 2], [1, 7, 159, 76, 1683, 1067, 3597, 3696, 2079, 2893, 561, 452, 109, 1, 3], [1, 7, 159, 77, 1672, 1122, 3432, 4026, 1617, 3355, 231, 617, 54, 12, 2], [1, 7, 160, 65, 1738, 902, 3927, 3234, 2541, 2563, 726, 397, 120, 0, 3], [1, 7, 160, 66, 1727, 957, 3762, 3564, 2079, 3025, 396, 562, 65, 11, 2], [1, 7, 160, 67, 1716, 1012, 3597, 3894, 1617, 3487, 66, 727, 10, 22, 1], [1, 7, 161, 55, 1782, 792, 4092, 3102, 2541, 2695, 561, 507, 76, 10, 2], [1, 7, 161, 56, 1771, 847, 3927, 3432, 2079, 3157, 231, 672, 21, 21, 1], [1, 7, 162, 44, 1837, 627, 4422, 2640, 3003, 2365, 726, 452, 87, 9, 2], [1, 7, 162, 45, 1826, 682, 4257, 2970, 2541, 2827, 396, 617, 32, 20, 1], [1, 7, 163, 33, 1892, 462, 4752, 2178, 3465, 2035, 891, 397, 98, 8, 2], [1, 7, 163, 34, 1881, 517, 4587, 2508, 3003, 2497, 561, 562, 43, 19, 1], [1, 7, 164, 22, 1947, 297, 5082, 1716, 3927, 1705, 1056, 342, 109, 7, 2], [1, 7, 164, 23, 1936, 352, 4917, 2046, 3465, 2167, 726, 507, 54, 18, 1], [1, 7, 165, 11, 2002, 132, 5412, 1254, 4389, 1375, 1221, 287, 120, 6, 2], [1, 7, 165, 12, 1991, 187, 5247, 1584, 3927, 1837, 891, 452, 65, 17, 1], [1, 7, 165, 13, 1980, 242, 5082, 1914, 3465, 2299, 561, 617, 10, 28, 0], [1, 7, 166, 1, 2046, 22, 5577, 1122, 4389, 1507, 1056, 397, 76, 16, 1], [1, 7, 166, 2, 2035, 77, 5412, 1452, 3927, 1969, 726, 562, 21, 27, 0], [1, 8, 145, 164, 1353, 1892, 2145, 5544, 363, 4048, 11, 628, 75, 4, 3], [1, 8, 146, 153, 1408, 1727, 2475, 5082, 825, 3718, 176, 573, 86, 3, 3], [1, 8, 147, 142, 1463, 1562, 2805, 4620, 1287, 3388, 341, 518, 97, 2, 3], [1, 8, 147, 143, 1452, 1617, 2640, 4950, 825, 3850, 11, 683, 42, 13, 2], [1, 8, 148, 131, 1518, 1397, 3135, 4158, 1749, 3058, 506, 463, 108, 1, 3], [1, 8, 148, 132, 1507, 1452, 2970, 4488, 1287, 3520, 176, 628, 53, 12, 2], [1, 8, 149, 120, 1573, 1232, 3465, 3696, 2211, 2728, 671, 408, 119, 0, 3], [1, 8, 149, 121, 1562, 1287, 3300, 4026, 1749, 3190, 341, 573, 64, 11, 2], [1, 8, 149, 122, 1551, 1342, 3135, 4356, 1287, 3652, 11, 738, 9, 22, 1], [1, 8, 150, 110, 1617, 1122, 3630, 3564, 2211, 2860, 506, 518, 75, 10, 2], [1, 8, 150, 111, 1606, 1177, 3465, 3894, 1749, 3322, 176, 683, 20, 21, 1], [1, 8, 151, 99, 1672, 957, 3960, 3102, 2673, 2530, 671, 463, 86, 9, 2], [1, 8, 151, 100, 1661, 1012, 3795, 3432, 2211, 2992, 341, 628, 31, 20, 1], [1, 8, 152, 88, 1727, 792, 4290, 2640, 3135, 2200, 836, 408, 97, 8, 2], [1, 8, 152, 89, 1716, 847, 4125, 2970, 2673, 2662, 506, 573, 42, 19, 1], [1, 8, 153, 77, 1782, 627, 4620, 2178, 3597, 1870, 1001, 353, 108, 7, 2], [1, 8, 153, 78, 1771, 682, 4455, 2508, 3135, 2332, 671, 518, 53, 18, 1], [1, 8, 154, 66, 1837, 462, 4950, 1716, 4059, 1540, 1166, 298, 119, 6, 2], [1, 8, 154, 67, 1826, 517, 4785, 2046, 3597, 2002, 836, 463, 64, 17, 1], [1, 8, 154, 68, 1815, 572, 4620, 2376, 3135, 2464, 506, 628, 9, 28, 0], [1, 8, 155, 55, 1892, 297, 5280, 1254, 4521, 1210, 1331, 243, 130, 5, 2], [1, 8, 155, 56, 1881, 352, 5115, 1584, 4059, 1672, 1001, 408, 75, 16, 1], [1, 8, 155, 57, 1870, 407, 4950, 1914, 3597, 2134, 671, 573, 20, 27, 0], [1, 8, 156, 44, 1947, 132, 5610, 792, 4983, 880, 1496, 188, 141, 4, 2], [1, 8, 156, 45, 1936, 187, 5445, 1122, 4521, 1342, 1166, 353, 86, 15, 1], [1, 8, 156, 46, 1925, 242, 5280, 1452, 4059, 1804, 836, 518, 31, 26, 0], [1, 8, 157, 34, 1991, 22, 5775, 660, 4983, 1012, 1331, 298, 97, 14, 1], [1, 8, 157, 35, 1980, 77, 5610, 990, 4521, 1474, 1001, 463, 42, 25, 0], [1, 9, 135, 208, 1243, 2057, 2013, 5544, 495, 3883, 121, 584, 85, 3, 3], [1, 9, 136, 197, 1298, 1892, 2343, 5082, 957, 3553, 286, 529, 96, 2, 3], [1, 9, 137, 186, 1353, 1727, 2673, 4620, 1419, 3223, 451, 474, 107, 1, 3], [1, 9, 137, 187, 1342, 1782, 2508, 4950, 957, 3685, 121, 639, 52, 12, 2], [1, 9, 138, 175, 1408, 1562, 3003, 4158, 1881, 2893, 616, 419, 118, 0, 3], [1, 9, 138, 176, 1397, 1617, 2838, 4488, 1419, 3355, 286, 584, 63, 11, 2], [1, 9, 139, 165, 1452, 1452, 3168, 4026, 1881, 3025, 451, 529, 74, 10, 2], [1, 9, 139, 166, 1441, 1507, 3003, 4356, 1419, 3487, 121, 694, 19, 21, 1], [1, 9, 140, 154, 1507, 1287, 3498, 3564, 2343, 2695, 616, 474, 85, 9, 2], [1, 9, 140, 155, 1496, 1342, 3333, 3894, 1881, 3157, 286, 639, 30, 20, 1], [1, 9, 141, 143, 1562, 1122, 3828, 3102, 2805, 2365, 781, 419, 96, 8, 2], [1, 9, 141, 144, 1551, 1177, 3663, 3432, 2343, 2827, 451, 584, 41, 19, 1], [1, 9, 142, 132, 1617, 957, 4158, 2640, 3267, 2035, 946, 364, 107, 7, 2], [1, 9, 142, 133, 1606, 1012, 3993, 2970, 2805, 2497, 616, 529, 52, 18, 1], [1, 9, 143, 121, 1672, 792, 4488, 2178, 3729, 1705, 1111, 309, 118, 6, 2], [1, 9, 143, 122, 1661, 847, 4323, 2508, 3267, 2167, 781, 474, 63, 17, 1], [1, 9, 143, 123, 1650, 902, 4158, 2838, 2805, 2629, 451, 639, 8, 28, 0], [1, 9, 144, 110, 1727, 627, 4818, 1716, 4191, 1375, 1276, 254, 129, 5, 2], [1, 9, 144, 111, 1716, 682, 4653, 2046, 3729, 1837, 946, 419, 74, 16, 1], [1, 9, 144, 112, 1705, 737, 4488, 2376, 3267, 2299, 616, 584, 19, 27, 0], [1, 9, 145, 99, 1782, 462, 5148, 1254, 4653, 1045, 1441, 199, 140, 4, 2], [1, 9, 145, 100, 1771, 517, 4983, 1584, 4191, 1507, 1111, 364, 85, 15, 1], [1, 9, 145, 101, 1760, 572, 4818, 1914, 3729, 1969, 781, 529, 30, 26, 0], [1, 9, 146, 88, 1837, 297, 5478, 792, 5115, 715, 1606, 144, 151, 3, 2], [1, 9, 146, 89, 1826, 352, 5313, 1122, 4653, 1177, 1276, 309, 96, 14, 1], [1, 9, 146, 90, 1815, 407, 5148, 1452, 4191, 1639, 946, 474, 41, 25, 0], [1, 9, 147, 77, 1892, 132, 5808, 330, 5577, 385, 1771, 89, 162, 2, 2], [1, 9, 147, 78, 1881, 187, 5643, 660, 5115, 847, 1441, 254, 107, 13, 1], [1, 9, 147, 79, 1870, 242, 5478, 990, 4653, 1309, 1111, 419, 52, 24, 0], [1, 9, 148, 67, 1936, 22, 5973, 198, 5577, 517, 1606, 199, 118, 12, 1], [1, 9, 148, 68, 1925, 77, 5808, 528, 5115, 979, 1276, 364, 63, 23, 0], [1, 10, 124, 263, 1078, 2387, 1551, 6006, 165, 4048, 66, 595, 84, 3, 3], [1, 10, 125, 252, 1133, 2222, 1881, 5544, 627, 3718, 231, 540, 95, 2, 3], [1, 10, 126, 241, 1188, 2057, 2211, 5082, 1089, 3388, 396, 485, 106, 1, 3], [1, 10, 126, 242, 1177, 2112, 2046, 5412, 627, 3850, 66, 650, 51, 12, 2], [1, 10, 127, 230, 1243, 1892, 2541, 4620, 1551, 3058, 561, 430, 117, 0, 3], [1, 10, 127, 231, 1232, 1947, 2376, 4950, 1089, 3520, 231, 595, 62, 11, 2], [1, 10, 128, 220, 1287, 1782, 2706, 4488, 1551, 3190, 396, 540, 73, 10, 2], [1, 10, 128, 221, 1276, 1837, 2541, 4818, 1089, 3652, 66, 705, 18, 21, 1], [1, 10, 129, 209, 1342, 1617, 3036, 4026, 2013, 2860, 561, 485, 84, 9, 2], [1, 10, 129, 210, 1331, 1672, 2871, 4356, 1551, 3322, 231, 650, 29, 20, 1], [1, 10, 130, 198, 1397, 1452, 3366, 3564, 2475, 2530, 726, 430, 95, 8, 2], [1, 10, 130, 199, 1386, 1507, 3201, 3894, 2013, 2992, 396, 595, 40, 19, 1], [1, 10, 131, 187, 1452, 1287, 3696, 3102, 2937, 2200, 891, 375, 106, 7, 2], [1, 10, 131, 188, 1441, 1342, 3531, 3432, 2475, 2662, 561, 540, 51, 18, 1], [1, 10, 132, 176, 1507, 1122, 4026, 2640, 3399, 1870, 1056, 320, 117, 6, 2], [1, 10, 132, 177, 1496, 1177, 3861, 2970, 2937, 2332, 726, 485, 62, 17, 1], [1, 10, 132, 178, 1485, 1232, 3696, 3300, 2475, 2794, 396, 650, 7, 28, 0], [1, 10, 133, 165, 1562, 957, 4356, 2178, 3861, 1540, 1221, 265, 128, 5, 2], [1, 10, 133, 166, 1551, 1012, 4191, 2508, 3399, 2002, 891, 430, 73, 16, 1], [1, 10, 133, 167, 1540, 1067, 4026, 2838, 2937, 2464, 561, 595, 18, 27, 0], [1, 10, 134, 154, 1617, 792, 4686, 1716, 4323, 1210, 1386, 210, 139, 4, 2], [1, 10, 134, 155, 1606, 847, 4521, 2046, 3861, 1672, 1056, 375, 84, 15, 1], [1, 10, 134, 156, 1595, 902, 4356, 2376, 3399, 2134, 726, 540, 29, 26, 0], [1, 10, 135, 143, 1672, 627, 5016, 1254, 4785, 880, 1551, 155, 150, 3, 2], [1, 10, 135, 144, 1661, 682, 4851, 1584, 4323, 1342, 1221, 320, 95, 14, 1], [1, 10, 135, 145, 1650, 737, 4686, 1914, 3861, 1804, 891, 485, 40, 25, 0], [1, 10, 136, 132, 1727, 462, 5346, 792, 5247, 550, 1716, 100, 161, 2, 2], [1, 10, 136, 133, 1716, 517, 5181, 1122, 4785, 1012, 1386, 265, 106, 13, 1], [1, 10, 136, 134, 1705, 572, 5016, 1452, 4323, 1474, 1056, 430, 51, 24, 0], [1, 10, 137, 121, 1782, 297, 5676, 330, 5709, 220, 1881, 45, 172, 1, 2], [1, 10, 137, 122, 1771, 352, 5511, 660, 5247, 682, 1551, 210, 117, 12, 1], [1, 10, 137, 123, 1760, 407, 5346, 990, 4785, 1144, 1221, 375, 62, 23, 0], [1, 10, 138, 111, 1826, 187, 5841, 198, 5709, 352, 1716, 155, 128, 11, 1], [1, 10, 138, 112, 1815, 242, 5676, 528, 5247, 814, 1386, 320, 73, 22, 0], [1, 10, 139, 101, 1870, 77, 6006, 66, 5709, 484, 1551, 265, 84, 21, 0], [1, 11, 114, 307, 968, 2552, 1419, 6006, 297, 3883, 176, 551, 94, 2, 3], [1, 11, 115, 296, 1023, 2387, 1749, 5544, 759, 3553, 341, 496, 105, 1, 3], [1, 11, 115, 297, 1012, 2442, 1584, 5874, 297, 4015, 11, 661, 50, 12, 2], [1, 11, 116, 285, 1078, 2222, 2079, 5082, 1221, 3223, 506, 441, 116, 0, 3], [1, 11, 116, 286, 1067, 2277, 1914, 5412, 759, 3685, 176, 606, 61, 11, 2], [1, 11, 117, 275, 1122, 2112, 2244, 4950, 1221, 3355, 341, 551, 72, 10, 2], [1, 11, 117, 276, 1111, 2167, 2079, 5280, 759, 3817, 11, 716, 17, 21, 1], [1, 11, 118, 264, 1177, 1947, 2574, 4488, 1683, 3025, 506, 496, 83, 9, 2], [1, 11, 118, 265, 1166, 2002, 2409, 4818, 1221, 3487, 176, 661, 28, 20, 1], [1, 11, 119, 253, 1232, 1782, 2904, 4026, 2145, 2695, 671, 441, 94, 8, 2], [1, 11, 119, 254, 1221, 1837, 2739, 4356, 1683, 3157, 341, 606, 39, 19, 1], [1, 11, 120, 242, 1287, 1617, 3234, 3564, 2607, 2365, 836, 386, 105, 7, 2], [1, 11, 120, 243, 1276, 1672, 3069, 3894, 2145, 2827, 506, 551, 50, 18, 1], [1, 11, 121, 231, 1342, 1452, 3564, 3102, 3069, 2035, 1001, 331, 116, 6, 2], [1, 11, 121, 232, 1331, 1507, 3399, 3432, 2607, 2497, 671, 496, 61, 17, 1], [1, 11, 121, 233, 1320, 1562, 3234, 3762, 2145, 2959, 341, 661, 6, 28, 0], [1, 11, 122, 220, 1397, 1287, 3894, 2640, 3531, 1705, 1166, 276, 127, 5, 2], [1, 11, 122, 221, 1386, 1342, 3729, 2970, 3069, 2167, 836, 441, 72, 16, 1], [1, 11, 122, 222, 1375, 1397, 3564, 3300, 2607, 2629, 506, 606, 17, 27, 0], [1, 11, 123, 209, 1452, 1122, 4224, 2178, 3993, 1375, 1331, 221, 138, 4, 2], [1, 11, 123, 210, 1441, 1177, 4059, 2508, 3531, 1837, 1001, 386, 83, 15, 1], [1, 11, 123, 211, 1430, 1232, 3894, 2838, 3069, 2299, 671, 551, 28, 26, 0], [1, 11, 124, 198, 1507, 957, 4554, 1716, 4455, 1045, 1496, 166, 149, 3, 2], [1, 11, 124, 199, 1496, 1012, 4389, 2046, 3993, 1507, 1166, 331, 94, 14, 1], [1, 11, 124, 200, 1485, 1067, 4224, 2376, 3531, 1969, 836, 496, 39, 25, 0], [1, 11, 125, 187, 1562, 792, 4884, 1254, 4917, 715, 1661, 111, 160, 2, 2], [1, 11, 125, 188, 1551, 847, 4719, 1584, 4455, 1177, 1331, 276, 105, 13, 1], [1, 11, 125, 189, 1540, 902, 4554, 1914, 3993, 1639, 1001, 441, 50, 24, 0], [1, 11, 126, 176, 1617, 627, 5214, 792, 5379, 385, 1826, 56, 171, 1, 2], [1, 11, 126, 177, 1606, 682, 5049, 1122, 4917, 847, 1496, 221, 116, 12, 1], [1, 11, 126, 178, 1595, 737, 4884, 1452, 4455, 1309, 1166, 386, 61, 23, 0], [1, 11, 127, 165, 1672, 462, 5544, 330, 5841, 55, 1991, 1, 182, 0, 2], [1, 11, 127, 166, 1661, 517, 5379, 660, 5379, 517, 1661, 166, 127, 11, 1], [1, 11, 127, 167, 1650, 572, 5214, 990, 4917, 979, 1331, 331, 72, 22, 0], [1, 11, 128, 155, 1716, 352, 5709, 198, 5841, 187, 1826, 111, 138, 10, 1], [1, 11, 128, 156, 1705, 407, 5544, 528, 5379, 649, 1496, 276, 83, 21, 0], [1, 11, 129, 145, 1760, 242, 5874, 66, 5841, 319, 1661, 221, 94, 20, 0], [1, 12, 104, 351, 858, 2717, 1287, 6006, 429, 3718, 286, 507, 104, 1, 3], [1, 12, 105, 340, 913, 2552, 1617, 5544, 891, 3388, 451, 452, 115, 0, 3], [1, 12, 105, 341, 902, 2607, 1452, 5874, 429, 3850, 121, 617, 60, 11, 2], [1, 12, 106, 330, 957, 2442, 1782, 5412, 891, 3520, 286, 562, 71, 10, 2], [1, 12, 107, 319, 1012, 2277, 2112, 4950, 1353, 3190, 451, 507, 82, 9, 2], [1, 12, 107, 320, 1001, 2332, 1947, 5280, 891, 3652, 121, 672, 27, 20, 1], [1, 12, 108, 308, 1067, 2112, 2442, 4488, 1815, 2860, 616, 452, 93, 8, 2], [1, 12, 108, 309, 1056, 2167, 2277, 4818, 1353, 3322, 286, 617, 38, 19, 1], [1, 12, 109, 297, 1122, 1947, 2772, 4026, 2277, 2530, 781, 397, 104, 7, 2], [1, 12, 109, 298, 1111, 2002, 2607, 4356, 1815, 2992, 451, 562, 49, 18, 1], [1, 12, 110, 286, 1177, 1782, 3102, 3564, 2739, 2200, 946, 342, 115, 6, 2], [1, 12, 110, 287, 1166, 1837, 2937, 3894, 2277, 2662, 616, 507, 60, 17, 1], [1, 12, 110, 288, 1155, 1892, 2772, 4224, 1815, 3124, 286, 672, 5, 28, 0], [1, 12, 111, 275, 1232, 1617, 3432, 3102, 3201, 1870, 1111, 287, 126, 5, 2], [1, 12, 111, 276, 1221, 1672, 3267, 3432, 2739, 2332, 781, 452, 71, 16, 1], [1, 12, 111, 277, 1210, 1727, 3102, 3762, 2277, 2794, 451, 617, 16, 27, 0], [1, 12, 112, 264, 1287, 1452, 3762, 2640, 3663, 1540, 1276, 232, 137, 4, 2], [1, 12, 112, 265, 1276, 1507, 3597, 2970, 3201, 2002, 946, 397, 82, 15, 1], [1, 12, 112, 266, 1265, 1562, 3432, 3300, 2739, 2464, 616, 562, 27, 26, 0], [1, 12, 113, 253, 1342, 1287, 4092, 2178, 4125, 1210, 1441, 177, 148, 3, 2], [1, 12, 113, 254, 1331, 1342, 3927, 2508, 3663, 1672, 1111, 342, 93, 14, 1], [1, 12, 113, 255, 1320, 1397, 3762, 2838, 3201, 2134, 781, 507, 38, 25, 0], [1, 12, 114, 242, 1397, 1122, 4422, 1716, 4587, 880, 1606, 122, 159, 2, 2], [1, 12, 114, 243, 1386, 1177, 4257, 2046, 4125, 1342, 1276, 287, 104, 13, 1], [1, 12, 114, 244, 1375, 1232, 4092, 2376, 3663, 1804, 946, 452, 49, 24, 0], [1, 12, 115, 231, 1452, 957, 4752, 1254, 5049, 550, 1771, 67, 170, 1, 2], [1, 12, 115, 232, 1441, 1012, 4587, 1584, 4587, 1012, 1441, 232, 115, 12, 1], [1, 12, 115, 233, 1430, 1067, 4422, 1914, 4125, 1474, 1111, 397, 60, 23, 0], [1, 12, 116, 220, 1507, 792, 5082, 792, 5511, 220, 1936, 12, 181, 0, 2], [1, 12, 116, 221, 1496, 847, 4917, 1122, 5049, 682, 1606, 177, 126, 11, 1], [1, 12, 116, 222, 1485, 902, 4752, 1452, 4587, 1144, 1276, 342, 71, 22, 0], [1, 12, 117, 210, 1551, 682, 5247, 660, 5511, 352, 1771, 122, 137, 10, 1], [1, 12, 117, 211, 1540, 737, 5082, 990, 5049, 814, 1441, 287, 82, 21, 0], [1, 12, 118, 199, 1606, 517, 5577, 198, 5973, 22, 1936, 67, 148, 9, 1], [1, 12, 118, 200, 1595, 572, 5412, 528, 5511, 484, 1606, 232, 93, 20, 0], [1, 12, 119, 189, 1650, 407, 5742, 66, 5973, 154, 1771, 177, 104, 19, 0], [1, 13, 93, 406, 693, 3047, 825, 6468, 99, 3883, 231, 518, 103, 1, 3], [1, 13, 94, 395, 748, 2882, 1155, 6006, 561, 3553, 396, 463, 114, 0, 3], [1, 13, 94, 396, 737, 2937, 990, 6336, 99, 4015, 66, 628, 59, 11, 2], [1, 13, 95, 385, 792, 2772, 1320, 5874, 561, 3685, 231, 573, 70, 10, 2], [1, 13, 96, 374, 847, 2607, 1650, 5412, 1023, 3355, 396, 518, 81, 9, 2], [1, 13, 96, 375, 836, 2662, 1485, 5742, 561, 3817, 66, 683, 26, 20, 1], [1, 13, 97, 363, 902, 2442, 1980, 4950, 1485, 3025, 561, 463, 92, 8, 2], [1, 13, 97, 364, 891, 2497, 1815, 5280, 1023, 3487, 231, 628, 37, 19, 1], [1, 13, 98, 352, 957, 2277, 2310, 4488, 1947, 2695, 726, 408, 103, 7, 2], [1, 13, 98, 353, 946, 2332, 2145, 4818, 1485, 3157, 396, 573, 48, 18, 1], [1, 13, 99, 341, 1012, 2112, 2640, 4026, 2409, 2365, 891, 353, 114, 6, 2], [1, 13, 99, 342, 1001, 2167, 2475, 4356, 1947, 2827, 561, 518, 59, 17, 1], [1, 13, 99, 343, 990, 2222, 2310, 4686, 1485, 3289, 231, 683, 4, 28, 0], [1, 13, 100, 330, 1067, 1947, 2970, 3564, 2871, 2035, 1056, 298, 125, 5, 2], [1, 13, 100, 331, 1056, 2002, 2805, 3894, 2409, 2497, 726, 463, 70, 16, 1], [1, 13, 100, 332, 1045, 2057, 2640, 4224, 1947, 2959, 396, 628, 15, 27, 0], [1, 13, 101, 319, 1122, 1782, 3300, 3102, 3333, 1705, 1221, 243, 136, 4, 2], [1, 13, 101, 320, 1111, 1837, 3135, 3432, 2871, 2167, 891, 408, 81, 15, 1], [1, 13, 101, 321, 1100, 1892, 2970, 3762, 2409, 2629, 561, 573, 26, 26, 0], [1, 13, 102, 308, 1177, 1617, 3630, 2640, 3795, 1375, 1386, 188, 147, 3, 2], [1, 13, 102, 309, 1166, 1672, 3465, 2970, 3333, 1837, 1056, 353, 92, 14, 1], [1, 13, 102, 310, 1155, 1727, 3300, 3300, 2871, 2299, 726, 518, 37, 25, 0], [1, 13, 103, 297, 1232, 1452, 3960, 2178, 4257, 1045, 1551, 133, 158, 2, 2], [1, 13, 103, 298, 1221, 1507, 3795, 2508, 3795, 1507, 1221, 298, 103, 13, 1], [1, 13, 103, 299, 1210, 1562, 3630, 2838, 3333, 1969, 891, 463, 48, 24, 0], [1, 13, 104, 286, 1287, 1287, 4290, 1716, 4719, 715, 1716, 78, 169, 1, 2], [1, 13, 104, 287, 1276, 1342, 4125, 2046, 4257, 1177, 1386, 243, 114, 12, 1], [1, 13, 104, 288, 1265, 1397, 3960, 2376, 3795, 1639, 1056, 408, 59, 23, 0], [1, 13, 105, 275, 1342, 1122, 4620, 1254, 5181, 385, 1881, 23, 180, 0, 2], [1, 13, 105, 276, 1331, 1177, 4455, 1584, 4719, 847, 1551, 188, 125, 11, 1], [1, 13, 105, 277, 1320, 1232, 4290, 1914, 4257, 1309, 1221, 353, 70, 22, 0], [1, 13, 106, 265, 1386, 1012, 4785, 1122, 5181, 517, 1716, 133, 136, 10, 1], [1, 13, 106, 266, 1375, 1067, 4620, 1452, 4719, 979, 1386, 298, 81, 21, 0], [1, 13, 107, 254, 1441, 847, 5115, 660, 5643, 187, 1881, 78, 147, 9, 1], [1, 13, 107, 255, 1430, 902, 4950, 990, 5181, 649, 1551, 243, 92, 20, 0], [1, 13, 108, 244, 1485, 737, 5280, 528, 5643, 319, 1716, 188, 103, 19, 0], [1, 14, 83, 450, 583, 3212, 693, 6468, 231, 3718, 341, 474, 113, 0, 3], [1, 14, 84, 440, 627, 3102, 858, 6336, 231, 3850, 176, 584, 69, 10, 2], [1, 14, 85, 429, 682, 2937, 1188, 5874, 693, 3520, 341, 529, 80, 9, 2], [1, 14, 85, 430, 671, 2992, 1023, 6204, 231, 3982, 11, 694, 25, 20, 1], [1, 14, 86, 418, 737, 2772, 1518, 5412, 1155, 3190, 506, 474, 91, 8, 2], [1, 14, 86, 419, 726, 2827, 1353, 5742, 693, 3652, 176, 639, 36, 19, 1], [1, 14, 87, 407, 792, 2607, 1848, 4950, 1617, 2860, 671, 419, 102, 7, 2], [1, 14, 87, 408, 781, 2662, 1683, 5280, 1155, 3322, 341, 584, 47, 18, 1], [1, 14, 88, 396, 847, 2442, 2178, 4488, 2079, 2530, 836, 364, 113, 6, 2], [1, 14, 88, 397, 836, 2497, 2013, 4818, 1617, 2992, 506, 529, 58, 17, 1], [1, 14, 88, 398, 825, 2552, 1848, 5148, 1155, 3454, 176, 694, 3, 28, 0], [1, 14, 89, 385, 902, 2277, 2508, 4026, 2541, 2200, 1001, 309, 124, 5, 2], [1, 14, 89, 386, 891, 2332, 2343, 4356, 2079, 2662, 671, 474, 69, 16, 1], [1, 14, 89, 387, 880, 2387, 2178, 4686, 1617, 3124, 341, 639, 14, 27, 0], [1, 14, 90, 374, 957, 2112, 2838, 3564, 3003, 1870, 1166, 254, 135, 4, 2], [1, 14, 90, 375, 946, 2167, 2673, 3894, 2541, 2332, 836, 419, 80, 15, 1], [1, 14, 90, 376, 935, 2222, 2508, 4224, 2079, 2794, 506, 584, 25, 26, 0], [1, 14, 91, 363, 1012, 1947, 3168, 3102, 3465, 1540, 1331, 199, 146, 3, 2], [1, 14, 91, 364, 1001, 2002, 3003, 3432, 3003, 2002, 1001, 364, 91, 14, 1], [1, 14, 91, 365, 990, 2057, 2838, 3762, 2541, 2464, 671, 529, 36, 25, 0], [1, 14, 92, 352, 1067, 1782, 3498, 2640, 3927, 1210, 1496, 144, 157, 2, 2], [1, 14, 92, 353, 1056, 1837, 3333, 2970, 3465, 1672, 1166, 309, 102, 13, 1], [1, 14, 92, 354, 1045, 1892, 3168, 3300, 3003, 2134, 836, 474, 47, 24, 0], [1, 14, 93, 341, 1122, 1617, 3828, 2178, 4389, 880, 1661, 89, 168, 1, 2], [1, 14, 93, 342, 1111, 1672, 3663, 2508, 3927, 1342, 1331, 254, 113, 12, 1], [1, 14, 93, 343, 1100, 1727, 3498, 2838, 3465, 1804, 1001, 419, 58, 23, 0], [1, 14, 94, 330, 1177, 1452, 4158, 1716, 4851, 550, 1826, 34, 179, 0, 2], [1, 14, 94, 331, 1166, 1507, 3993, 2046, 4389, 1012, 1496, 199, 124, 11, 1], [1, 14, 94, 332, 1155, 1562, 3828, 2376, 3927, 1474, 1166, 364, 69, 22, 0], [1, 14, 95, 320, 1221, 1342, 4323, 1584, 4851, 682, 1661, 144, 135, 10, 1], [1, 14, 95, 321, 1210, 1397, 4158, 1914, 4389, 1144, 1331, 309, 80, 21, 0], [1, 14, 96, 309, 1276, 1177, 4653, 1122, 5313, 352, 1826, 89, 146, 9, 1], [1, 14, 96, 310, 1265, 1232, 4488, 1452, 4851, 814, 1496, 254, 91, 20, 0], [1, 14, 97, 298, 1331, 1012, 4983, 660, 5775, 22, 1991, 34, 157, 8, 1], [1, 14, 97, 299, 1320, 1067, 4818, 990, 5313, 484, 1661, 199, 102, 19, 0], [1, 14, 98, 288, 1375, 902, 5148, 528, 5775, 154, 1826, 144, 113, 18, 0], [1, 15, 74, 484, 517, 3267, 726, 6336, 363, 3685, 286, 540, 79, 9, 2], [1, 15, 75, 473, 572, 3102, 1056, 5874, 825, 3355, 451, 485, 90, 8, 2], [1, 15, 75, 474, 561, 3157, 891, 6204, 363, 3817, 121, 650, 35, 19, 1], [1, 15, 76, 462, 627, 2937, 1386, 5412, 1287, 3025, 616, 430, 101, 7, 2], [1, 15, 76, 463, 616, 2992, 1221, 5742, 825, 3487, 286, 595, 46, 18, 1], [1, 15, 77, 451, 682, 2772, 1716, 4950, 1749, 2695, 781, 375, 112, 6, 2], [1, 15, 77, 452, 671, 2827, 1551, 5280, 1287, 3157, 451, 540, 57, 17, 1], [1, 15, 77, 453, 660, 2882, 1386, 5610, 825, 3619, 121, 705, 2, 28, 0], [1, 15, 78, 440, 737, 2607, 2046, 4488, 2211, 2365, 946, 320, 123, 5, 2], [1, 15, 78, 441, 726, 2662, 1881, 4818, 1749, 2827, 616, 485, 68, 16, 1], [1, 15, 78, 442, 715, 2717, 1716, 5148, 1287, 3289, 286, 650, 13, 27, 0], [1, 15, 79, 429, 792, 2442, 2376, 4026, 2673, 2035, 1111, 265, 134, 4, 2], [1, 15, 79, 430, 781, 2497, 2211, 4356, 2211, 2497, 781, 430, 79, 15, 1], [1, 15, 79, 431, 770, 2552, 2046, 4686, 1749, 2959, 451, 595, 24, 26, 0], [1, 15, 80, 418, 847, 2277, 2706, 3564, 3135, 1705, 1276, 210, 145, 3, 2], [1, 15, 80, 419, 836, 2332, 2541, 3894, 2673, 2167, 946, 375, 90, 14, 1], [1, 15, 80, 420, 825, 2387, 2376, 4224, 2211, 2629, 616, 540, 35, 25, 0], [1, 15, 81, 407, 902, 2112, 3036, 3102, 3597, 1375, 1441, 155, 156, 2, 2], [1, 15, 81, 408, 891, 2167, 2871, 3432, 3135, 1837, 1111, 320, 101, 13, 1], [1, 15, 81, 409, 880, 2222, 2706, 3762, 2673, 2299, 781, 485, 46, 24, 0], [1, 15, 82, 396, 957, 1947, 3366, 2640, 4059, 1045, 1606, 100, 167, 1, 2], [1, 15, 82, 397, 946, 2002, 3201, 2970, 3597, 1507, 1276, 265, 112, 12, 1], [1, 15, 82, 398, 935, 2057, 3036, 3300, 3135, 1969, 946, 430, 57, 23, 0], [1, 15, 83, 385, 1012, 1782, 3696, 2178, 4521, 715, 1771, 45, 178, 0, 2], [1, 15, 83, 386, 1001, 1837, 3531, 2508, 4059, 1177, 1441, 210, 123, 11, 1], [1, 15, 83, 387, 990, 1892, 3366, 2838, 3597, 1639, 1111, 375, 68, 22, 0], [1, 15, 84, 375, 1056, 1672, 3861, 2046, 4521, 847, 1606, 155, 134, 10, 1], [1, 15, 84, 376, 1045, 1727, 3696, 2376, 4059, 1309, 1276, 320, 79, 21, 0], [1, 15, 85, 364, 1111, 1507, 4191, 1584, 4983, 517, 1771, 100, 145, 9, 1], [1, 15, 85, 365, 1100, 1562, 4026, 1914, 4521, 979, 1441, 265, 90, 20, 0], [1, 15, 86, 353, 1166, 1342, 4521, 1122, 5445, 187, 1936, 45, 156, 8, 1], [1, 15, 86, 354, 1155, 1397, 4356, 1452, 4983, 649, 1606, 210, 101, 19, 0], [1, 15, 87, 343, 1210, 1232, 4686, 990, 5445, 319, 1771, 155, 112, 18, 0], [1, 16, 63, 539, 352, 3597, 264, 6798, 33, 3850, 231, 551, 78, 9, 2], [1, 16, 64, 528, 407, 3432, 594, 6336, 495, 3520, 396, 496, 89, 8, 2], [1, 16, 64, 529, 396, 3487, 429, 6666, 33, 3982, 66, 661, 34, 19, 1], [1, 16, 65, 517, 462, 3267, 924, 5874, 957, 3190, 561, 441, 100, 7, 2], [1, 16, 65, 518, 451, 3322, 759, 6204, 495, 3652, 231, 606, 45, 18, 1], [1, 16, 66, 506, 517, 3102, 1254, 5412, 1419, 2860, 726, 386, 111, 6, 2], [1, 16, 66, 507, 506, 3157, 1089, 5742, 957, 3322, 396, 551, 56, 17, 1], [1, 16, 66, 508, 495, 3212, 924, 6072, 495, 3784, 66, 716, 1, 28, 0], [1, 16, 67, 495, 572, 2937, 1584, 4950, 1881, 2530, 891, 331, 122, 5, 2], [1, 16, 67, 496, 561, 2992, 1419, 5280, 1419, 2992, 561, 496, 67, 16, 1], [1, 16, 67, 497, 550, 3047, 1254, 5610, 957, 3454, 231, 661, 12, 27, 0], [1, 16, 68, 484, 627, 2772, 1914, 4488, 2343, 2200, 1056, 276, 133, 4, 2], [1, 16, 68, 485, 616, 2827, 1749, 4818, 1881, 2662, 726, 441, 78, 15, 1], [1, 16, 68, 486, 605, 2882, 1584, 5148, 1419, 3124, 396, 606, 23, 26, 0], [1, 16, 69, 473, 682, 2607, 2244, 4026, 2805, 1870, 1221, 221, 144, 3, 2], [1, 16, 69, 474, 671, 2662, 2079, 4356, 2343, 2332, 891, 386, 89, 14, 1], [1, 16, 69, 475, 660, 2717, 1914, 4686, 1881, 2794, 561, 551, 34, 25, 0], [1, 16, 70, 462, 737, 2442, 2574, 3564, 3267, 1540, 1386, 166, 155, 2, 2], [1, 16, 70, 463, 726, 2497, 2409, 3894, 2805, 2002, 1056, 331, 100, 13, 1], [1, 16, 70, 464, 715, 2552, 2244, 4224, 2343, 2464, 726, 496, 45, 24, 0], [1, 16, 71, 451, 792, 2277, 2904, 3102, 3729, 1210, 1551, 111, 166, 1, 2], [1, 16, 71, 452, 781, 2332, 2739, 3432, 3267, 1672, 1221, 276, 111, 12, 1], [1, 16, 71, 453, 770, 2387, 2574, 3762, 2805, 2134, 891, 441, 56, 23, 0], [1, 16, 72, 440, 847, 2112, 3234, 2640, 4191, 880, 1716, 56, 177, 0, 2], [1, 16, 72, 441, 836, 2167, 3069, 2970, 3729, 1342, 1386, 221, 122, 11, 1], [1, 16, 72, 442, 825, 2222, 2904, 3300, 3267, 1804, 1056, 386, 67, 22, 0], [1, 16, 73, 430, 891, 2002, 3399, 2508, 4191, 1012, 1551, 166, 133, 10, 1], [1, 16, 73, 431, 880, 2057, 3234, 2838, 3729, 1474, 1221, 331, 78, 21, 0], [1, 16, 74, 419, 946, 1837, 3729, 2046, 4653, 682, 1716, 111, 144, 9, 1], [1, 16, 74, 420, 935, 1892, 3564, 2376, 4191, 1144, 1386, 276, 89, 20, 0], [1, 16, 75, 408, 1001, 1672, 4059, 1584, 5115, 352, 1881, 56, 155, 8, 1], [1, 16, 75, 409, 990, 1727, 3894, 1914, 4653, 814, 1551, 221, 100, 19, 0], [1, 16, 76, 397, 1056, 1507, 4389, 1122, 5577, 22, 2046, 1, 166, 7, 1], [1, 16, 76, 398, 1045, 1562, 4224, 1452, 5115, 484, 1716, 166, 111, 18, 0], [1, 16, 77, 387, 1100, 1397, 4554, 990, 5577, 154, 1881, 111, 122, 17, 0], [1, 17, 53, 583, 242, 3762, 132, 6798, 165, 3685, 341, 507, 88, 8, 2], [1, 17, 54, 572, 297, 3597, 462, 6336, 627, 3355, 506, 452, 99, 7, 2], [1, 17, 54, 573, 286, 3652, 297, 6666, 165, 3817, 176, 617, 44, 18, 1], [1, 17, 55, 561, 352, 3432, 792, 5874, 1089, 3025, 671, 397, 110, 6, 2], [1, 17, 55, 562, 341, 3487, 627, 6204, 627, 3487, 341, 562, 55, 17, 1], [1, 17, 55, 563, 330, 3542, 462, 6534, 165, 3949, 11, 727, 0, 28, 0], [1, 17, 56, 550, 407, 3267, 1122, 5412, 1551, 2695, 836, 342, 121, 5, 2], [1, 17, 56, 551, 396, 3322, 957, 5742, 1089, 3157, 506, 507, 66, 16, 1], [1, 17, 56, 552, 385, 3377, 792, 6072, 627, 3619, 176, 672, 11, 27, 0], [1, 17, 57, 539, 462, 3102, 1452, 4950, 2013, 2365, 1001, 287, 132, 4, 2], [1, 17, 57, 540, 451, 3157, 1287, 5280, 1551, 2827, 671, 452, 77, 15, 1], [1, 17, 57, 541, 440, 3212, 1122, 5610, 1089, 3289, 341, 617, 22, 26, 0], [1, 17, 58, 528, 517, 2937, 1782, 4488, 2475, 2035, 1166, 232, 143, 3, 2], [1, 17, 58, 529, 506, 2992, 1617, 4818, 2013, 2497, 836, 397, 88, 14, 1], [1, 17, 58, 530, 495, 3047, 1452, 5148, 1551, 2959, 506, 562, 33, 25, 0], [1, 17, 59, 517, 572, 2772, 2112, 4026, 2937, 1705, 1331, 177, 154, 2, 2], [1, 17, 59, 518, 561, 2827, 1947, 4356, 2475, 2167, 1001, 342, 99, 13, 1], [1, 17, 59, 519, 550, 2882, 1782, 4686, 2013, 2629, 671, 507, 44, 24, 0], [1, 17, 60, 506, 627, 2607, 2442, 3564, 3399, 1375, 1496, 122, 165, 1, 2], [1, 17, 60, 507, 616, 2662, 2277, 3894, 2937, 1837, 1166, 287, 110, 12, 1], [1, 17, 60, 508, 605, 2717, 2112, 4224, 2475, 2299, 836, 452, 55, 23, 0], [1, 17, 61, 495, 682, 2442, 2772, 3102, 3861, 1045, 1661, 67, 176, 0, 2], [1, 17, 61, 496, 671, 2497, 2607, 3432, 3399, 1507, 1331, 232, 121, 11, 1], [1, 17, 61, 497, 660, 2552, 2442, 3762, 2937, 1969, 1001, 397, 66, 22, 0], [1, 17, 62, 485, 726, 2332, 2937, 2970, 3861, 1177, 1496, 177, 132, 10, 1], [1, 17, 62, 486, 715, 2387, 2772, 3300, 3399, 1639, 1166, 342, 77, 21, 0], [1, 17, 63, 474, 781, 2167, 3267, 2508, 4323, 847, 1661, 122, 143, 9, 1], [1, 17, 63, 475, 770, 2222, 3102, 2838, 3861, 1309, 1331, 287, 88, 20, 0], [1, 17, 64, 463, 836, 2002, 3597, 2046, 4785, 517, 1826, 67, 154, 8, 1], [1, 17, 64, 464, 825, 2057, 3432, 2376, 4323, 979, 1496, 232, 99, 19, 0], [1, 17, 65, 452, 891, 1837, 3927, 1584, 5247, 187, 1991, 12, 165, 7, 1], [1, 17, 65, 453, 880, 1892, 3762, 1914, 4785, 649, 1661, 177, 110, 18, 0], [1, 17, 66, 442, 935, 1727, 4092, 1452, 5247, 319, 1826, 122, 121, 17, 0], [1, 18, 43, 627, 132, 3927, 0, 6798, 297, 3520, 451, 463, 98, 7, 2], [1, 18, 44, 616, 187, 3762, 330, 6336, 759, 3190, 616, 408, 109, 6, 2], [1, 18, 44, 617, 176, 3817, 165, 6666, 297, 3652, 286, 573, 54, 17, 1], [1, 18, 45, 605, 242, 3597, 660, 5874, 1221, 2860, 781, 353, 120, 5, 2], [1, 18, 45, 606, 231, 3652, 495, 6204, 759, 3322, 451, 518, 65, 16, 1], [1, 18, 45, 607, 220, 3707, 330, 6534, 297, 3784, 121, 683, 10, 27, 0], [1, 18, 46, 594, 297, 3432, 990, 5412, 1683, 2530, 946, 298, 131, 4, 2], [1, 18, 46, 595, 286, 3487, 825, 5742, 1221, 2992, 616, 463, 76, 15, 1], [1, 18, 46, 596, 275, 3542, 660, 6072, 759, 3454, 286, 628, 21, 26, 0], [1, 18, 47, 583, 352, 3267, 1320, 4950, 2145, 2200, 1111, 243, 142, 3, 2], [1, 18, 47, 584, 341, 3322, 1155, 5280, 1683, 2662, 781, 408, 87, 14, 1], [1, 18, 47, 585, 330, 3377, 990, 5610, 1221, 3124, 451, 573, 32, 25, 0], [1, 18, 48, 572, 407, 3102, 1650, 4488, 2607, 1870, 1276, 188, 153, 2, 2], [1, 18, 48, 573, 396, 3157, 1485, 4818, 2145, 2332, 946, 353, 98, 13, 1], [1, 18, 48, 574, 385, 3212, 1320, 5148, 1683, 2794, 616, 518, 43, 24, 0], [1, 18, 49, 561, 462, 2937, 1980, 4026, 3069, 1540, 1441, 133, 164, 1, 2], [1, 18, 49, 562, 451, 2992, 1815, 4356, 2607, 2002, 1111, 298, 109, 12, 1], [1, 18, 49, 563, 440, 3047, 1650, 4686, 2145, 2464, 781, 463, 54, 23, 0], [1, 18, 50, 550, 517, 2772, 2310, 3564, 3531, 1210, 1606, 78, 175, 0, 2], [1, 18, 50, 551, 506, 2827, 2145, 3894, 3069, 1672, 1276, 243, 120, 11, 1], [1, 18, 50, 552, 495, 2882, 1980, 4224, 2607, 2134, 946, 408, 65, 22, 0], [1, 18, 51, 540, 561, 2662, 2475, 3432, 3531, 1342, 1441, 188, 131, 10, 1], [1, 18, 51, 541, 550, 2717, 2310, 3762, 3069, 1804, 1111, 353, 76, 21, 0], [1, 18, 52, 529, 616, 2497, 2805, 2970, 3993, 1012, 1606, 133, 142, 9, 1], [1, 18, 52, 530, 605, 2552, 2640, 3300, 3531, 1474, 1276, 298, 87, 20, 0], [1, 18, 53, 518, 671, 2332, 3135, 2508, 4455, 682, 1771, 78, 153, 8, 1], [1, 18, 53, 519, 660, 2387, 2970, 2838, 3993, 1144, 1441, 243, 98, 19, 0], [1, 18, 54, 507, 726, 2167, 3465, 2046, 4917, 352, 1936, 23, 164, 7, 1], [1, 18, 54, 508, 715, 2222, 3300, 2376, 4455, 814, 1606, 188, 109, 18, 0], [1, 18, 55, 497, 770, 2057, 3630, 1914, 4917, 484, 1771, 133, 120, 17, 0], [1, 18, 56, 486, 825, 1892, 3960, 1452, 5379, 154, 1936, 78, 131, 16, 0], [1, 19, 34, 660, 77, 3927, 198, 6336, 891, 3025, 726, 364, 119, 5, 2], [1, 19, 34, 661, 66, 3982, 33, 6666, 429, 3487, 396, 529, 64, 16, 1], [1, 19, 35, 649, 132, 3762, 528, 5874, 1353, 2695, 891, 309, 130, 4, 2], [1, 19, 35, 650, 121, 3817, 363, 6204, 891, 3157, 561, 474, 75, 15, 1], [1, 19, 35, 651, 110, 3872, 198, 6534, 429, 3619, 231, 639, 20, 26, 0], [1, 19, 36, 638, 187, 3597, 858, 5412, 1815, 2365, 1056, 254, 141, 3, 2], [1, 19, 36, 639, 176, 3652, 693, 5742, 1353, 2827, 726, 419, 86, 14, 1], [1, 19, 36, 640, 165, 3707, 528, 6072, 891, 3289, 396, 584, 31, 25, 0], [1, 19, 37, 627, 242, 3432, 1188, 4950, 2277, 2035, 1221, 199, 152, 2, 2], [1, 19, 37, 628, 231, 3487, 1023, 5280, 1815, 2497, 891, 364, 97, 13, 1], [1, 19, 37, 629, 220, 3542, 858, 5610, 1353, 2959, 561, 529, 42, 24, 0], [1, 19, 38, 616, 297, 3267, 1518, 4488, 2739, 1705, 1386, 144, 163, 1, 2], [1, 19, 38, 617, 286, 3322, 1353, 4818, 2277, 2167, 1056, 309, 108, 12, 1], [1, 19, 38, 618, 275, 3377, 1188, 5148, 1815, 2629, 726, 474, 53, 23, 0], [1, 19, 39, 605, 352, 3102, 1848, 4026, 3201, 1375, 1551, 89, 174, 0, 2], [1, 19, 39, 606, 341, 3157, 1683, 4356, 2739, 1837, 1221, 254, 119, 11, 1], [1, 19, 39, 607, 330, 3212, 1518, 4686, 2277, 2299, 891, 419, 64, 22, 0], [1, 19, 40, 595, 396, 2992, 2013, 3894, 3201, 1507, 1386, 199, 130, 10, 1], [1, 19, 40, 596, 385, 3047, 1848, 4224, 2739, 1969, 1056, 364, 75, 21, 0], [1, 19, 41, 584, 451, 2827, 2343, 3432, 3663, 1177, 1551, 144, 141, 9, 1], [1, 19, 41, 585, 440, 2882, 2178, 3762, 3201, 1639, 1221, 309, 86, 20, 0], [1, 19, 42, 573, 506, 2662, 2673, 2970, 4125, 847, 1716, 89, 152, 8, 1], [1, 19, 42, 574, 495, 2717, 2508, 3300, 3663, 1309, 1386, 254, 97, 19, 0], [1, 19, 43, 562, 561, 2497, 3003, 2508, 4587, 517, 1881, 34, 163, 7, 1], [1, 19, 43, 563, 550, 2552, 2838, 2838, 4125, 979, 1551, 199, 108, 18, 0], [1, 19, 44, 552, 605, 2387, 3168, 2376, 4587, 649, 1716, 144, 119, 17, 0], [1, 19, 45, 541, 660, 2222, 3498, 1914, 5049, 319, 1881, 89, 130, 16, 0], [1, 20, 25, 693, 22, 3927, 396, 5874, 1485, 2530, 1001, 265, 140, 3, 2], [1, 20, 25, 694, 11, 3982, 231, 6204, 1023, 2992, 671, 430, 85, 14, 1], [1, 20, 25, 695, 0, 4037, 66, 6534, 561, 3454, 341, 595, 30, 25, 0], [1, 20, 26, 682, 77, 3762, 726, 5412, 1947, 2200, 1166, 210, 151, 2, 2], [1, 20, 26, 683, 66, 3817, 561, 5742, 1485, 2662, 836, 375, 96, 13, 1], [1, 20, 26, 684, 55, 3872, 396, 6072, 1023, 3124, 506, 540, 41, 24, 0], [1, 20, 27, 671, 132, 3597, 1056, 4950, 2409, 1870, 1331, 155, 162, 1, 2], [1, 20, 27, 672, 121, 3652, 891, 5280, 1947, 2332, 1001, 320, 107, 12, 1], [1, 20, 27, 673, 110, 3707, 726, 5610, 1485, 2794, 671, 485, 52, 23, 0], [1, 20, 28, 660, 187, 3432, 1386, 4488, 2871, 1540, 1496, 100, 173, 0, 2], [1, 20, 28, 661, 176, 3487, 1221, 4818, 2409, 2002, 1166, 265, 118, 11, 1], [1, 20, 28, 662, 165, 3542, 1056, 5148, 1947, 2464, 836, 430, 63, 22, 0], [1, 20, 29, 650, 231, 3322, 1551, 4356, 2871, 1672, 1331, 210, 129, 10, 1], [1, 20, 29, 651, 220, 3377, 1386, 4686, 2409, 2134, 1001, 375, 74, 21, 0], [1, 20, 30, 639, 286, 3157, 1881, 3894, 3333, 1342, 1496, 155, 140, 9, 1], [1, 20, 30, 640, 275, 3212, 1716, 4224, 2871, 1804, 1166, 320, 85, 20, 0], [1, 20, 31, 628, 341, 2992, 2211, 3432, 3795, 1012, 1661, 100, 151, 8, 1], [1, 20, 31, 629, 330, 3047, 2046, 3762, 3333, 1474, 1331, 265, 96, 19, 0], [1, 20, 32, 617, 396, 2827, 2541, 2970, 4257, 682, 1826, 45, 162, 7, 1], [1, 20, 32, 618, 385, 2882, 2376, 3300, 3795, 1144, 1496, 210, 107, 18, 0], [1, 20, 33, 607, 440, 2717, 2706, 2838, 4257, 814, 1661, 155, 118, 17, 0], [1, 20, 34, 596, 495, 2552, 3036, 2376, 4719, 484, 1826, 100, 129, 16, 0], [1, 20, 35, 585, 550, 2387, 3366, 1914, 5181, 154, 1991, 45, 140, 15, 0], [1, 21, 17, 715, 22, 3762, 924, 4950, 2541, 1705, 1441, 111, 172, 0, 2], [1, 21, 17, 716, 11, 3817, 759, 5280, 2079, 2167, 1111, 276, 117, 11, 1], [1, 21, 17, 717, 0, 3872, 594, 5610, 1617, 2629, 781, 441, 62, 22, 0], [1, 21, 18, 705, 66, 3652, 1089, 4818, 2541, 1837, 1276, 221, 128, 10, 1], [1, 21, 18, 706, 55, 3707, 924, 5148, 2079, 2299, 946, 386, 73, 21, 0], [1, 21, 19, 694, 121, 3487, 1419, 4356, 3003, 1507, 1441, 166, 139, 9, 1], [1, 21, 19, 695, 110, 3542, 1254, 4686, 2541, 1969, 1111, 331, 84, 20, 0], [1, 21, 20, 683, 176, 3322, 1749, 3894, 3465, 1177, 1606, 111, 150, 8, 1], [1, 21, 20, 684, 165, 3377, 1584, 4224, 3003, 1639, 1276, 276, 95, 19, 0], [1, 21, 21, 672, 231, 3157, 2079, 3432, 3927, 847, 1771, 56, 161, 7, 1], [1, 21, 21, 673, 220, 3212, 1914, 3762, 3465, 1309, 1441, 221, 106, 18, 0], [1, 21, 22, 661, 286, 2992, 2409, 2970, 4389, 517, 1936, 1, 172, 6, 1], [1, 21, 22, 662, 275, 3047, 2244, 3300, 3927, 979, 1606, 166, 117, 17, 0], [1, 21, 23, 651, 330, 2882, 2574, 2838, 4389, 649, 1771, 111, 128, 16, 0], [1, 21, 24, 640, 385, 2717, 2904, 2376, 4851, 319, 1936, 56, 139, 15, 0], [1, 22, 9, 738, 11, 3652, 1287, 4356, 3135, 1342, 1551, 122, 149, 8, 1], [1, 22, 9, 739, 0, 3707, 1122, 4686, 2673, 1804, 1221, 287, 94, 19, 0], [1, 22, 10, 727, 66, 3487, 1617, 3894, 3597, 1012, 1716, 67, 160, 7, 1], [1, 22, 10, 728, 55, 3542, 1452, 4224, 3135, 1474, 1386, 232, 105, 18, 0], [1, 22, 11, 716, 121, 3322, 1947, 3432, 4059, 682, 1881, 12, 171, 6, 1], [1, 22, 11, 717, 110, 3377, 1782, 3762, 3597, 1144, 1551, 177, 116, 17, 0], [1, 22, 12, 706, 165, 3212, 2112, 3300, 4059, 814, 1716, 122, 127, 16, 0], [1, 22, 13, 695, 220, 3047, 2442, 2838, 4521, 484, 1881, 67, 138, 15, 0], [1, 22, 14, 684, 275, 2882, 2772, 2376, 4983, 154, 2046, 12, 149, 14, 0], [1, 23, 1, 761, 0, 3542, 1650, 3762, 3729, 979, 1661, 133, 126, 16, 0], [1, 23, 2, 750, 55, 3377, 1980, 3300, 4191, 649, 1826, 78, 137, 15, 0], [1, 23, 3, 739, 110, 3212, 2310, 2838, 4653, 319, 1991, 23, 148, 14, 0], [2, 0, 168, 153, 1243, 2255, 1551, 6138, 0, 4158, 22, 605, 83, 3, 3], [2, 0, 169, 142, 1298, 2090, 1881, 5676, 462, 3828, 187, 550, 94, 2, 3], [2, 0, 170, 131, 1353, 1925, 2211, 5214, 924, 3498, 352, 495, 105, 1, 3], [2, 0, 170, 132, 1342, 1980, 2046, 5544, 462, 3960, 22, 660, 50, 12, 2], [2, 0, 171, 120, 1408, 1760, 2541, 4752, 1386, 3168, 517, 440, 116, 0, 3], [2, 0, 171, 121, 1397, 1815, 2376, 5082, 924, 3630, 187, 605, 61, 11, 2], [2, 0, 172, 110, 1452, 1650, 2706, 4620, 1386, 3300, 352, 550, 72, 10, 2], [2, 0, 172, 111, 1441, 1705, 2541, 4950, 924, 3762, 22, 715, 17, 21, 1], [2, 0, 173, 99, 1507, 1485, 3036, 4158, 1848, 2970, 517, 495, 83, 9, 2], [2, 0, 173, 100, 1496, 1540, 2871, 4488, 1386, 3432, 187, 660, 28, 20, 1], [2, 0, 174, 88, 1562, 1320, 3366, 3696, 2310, 2640, 682, 440, 94, 8, 2], [2, 0, 174, 89, 1551, 1375, 3201, 4026, 1848, 3102, 352, 605, 39, 19, 1], [2, 0, 175, 77, 1617, 1155, 3696, 3234, 2772, 2310, 847, 385, 105, 7, 2], [2, 0, 175, 78, 1606, 1210, 3531, 3564, 2310, 2772, 517, 550, 50, 18, 1], [2, 0, 176, 66, 1672, 990, 4026, 2772, 3234, 1980, 1012, 330, 116, 6, 2], [2, 0, 176, 67, 1661, 1045, 3861, 3102, 2772, 2442, 682, 495, 61, 17, 1], [2, 0, 176, 68, 1650, 1100, 3696, 3432, 2310, 2904, 352, 660, 6, 28, 0], [2, 0, 177, 55, 1727, 825, 4356, 2310, 3696, 1650, 1177, 275, 127, 5, 2], [2, 0, 177, 56, 1716, 880, 4191, 2640, 3234, 2112, 847, 440, 72, 16, 1], [2, 0, 177, 57, 1705, 935, 4026, 2970, 2772, 2574, 517, 605, 17, 27, 0], [2, 0, 178, 44, 1782, 660, 4686, 1848, 4158, 1320, 1342, 220, 138, 4, 2], [2, 0, 178, 45, 1771, 715, 4521, 2178, 3696, 1782, 1012, 385, 83, 15, 1], [2, 0, 178, 46, 1760, 770, 4356, 2508, 3234, 2244, 682, 550, 28, 26, 0], [2, 0, 179, 33, 1837, 495, 5016, 1386, 4620, 990, 1507, 165, 149, 3, 2], [2, 0, 179, 34, 1826, 550, 4851, 1716, 4158, 1452, 1177, 330, 94, 14, 1], [2, 0, 179, 35, 1815, 605, 4686, 2046, 3696, 1914, 847, 495, 39, 25, 0], [2, 0, 180, 22, 1892, 330, 5346, 924, 5082, 660, 1672, 110, 160, 2, 2], [2, 0, 180, 23, 1881, 385, 5181, 1254, 4620, 1122, 1342, 275, 105, 13, 1], [2, 0, 180, 24, 1870, 440, 5016, 1584, 4158, 1584, 1012, 440, 50, 24, 0], [2, 0, 181, 11, 1947, 165, 5676, 462, 5544, 330, 1837, 55, 171, 1, 2], [2, 0, 181, 12, 1936, 220, 5511, 792, 5082, 792, 1507, 220, 116, 12, 1], [2, 0, 181, 13, 1925, 275, 5346, 1122, 4620, 1254, 1177, 385, 61, 23, 0], [2, 0, 182, 0, 2002, 0, 6006, 0, 6006, 0, 2002, 0, 182, 0, 2], [2, 0, 182, 1, 1991, 55, 5841, 330, 5544, 462, 1672, 165, 127, 11, 1], [2, 0, 182, 2, 1980, 110, 5676, 660, 5082, 924, 1342, 330, 72, 22, 0], [2, 1, 158, 197, 1133, 2420, 1419, 6138, 132, 3993, 132, 561, 93, 2, 3], [2, 1, 159, 186, 1188, 2255, 1749, 5676, 594, 3663, 297, 506, 104, 1, 3], [2, 1, 160, 175, 1243, 2090, 2079, 5214, 1056, 3333, 462, 451, 115, 0, 3], [2, 1, 160, 176, 1232, 2145, 1914, 5544, 594, 3795, 132, 616, 60, 11, 2], [2, 1, 161, 165, 1287, 1980, 2244, 5082, 1056, 3465, 297, 561, 71, 10, 2], [2, 1, 162, 154, 1342, 1815, 2574, 4620, 1518, 3135, 462, 506, 82, 9, 2], [2, 1, 162, 155, 1331, 1870, 2409, 4950, 1056, 3597, 132, 671, 27, 20, 1], [2, 1, 163, 143, 1397, 1650, 2904, 4158, 1980, 2805, 627, 451, 93, 8, 2], [2, 1, 163, 144, 1386, 1705, 2739, 4488, 1518, 3267, 297, 616, 38, 19, 1], [2, 1, 164, 132, 1452, 1485, 3234, 3696, 2442, 2475, 792, 396, 104, 7, 2], [2, 1, 164, 133, 1441, 1540, 3069, 4026, 1980, 2937, 462, 561, 49, 18, 1], [2, 1, 165, 121, 1507, 1320, 3564, 3234, 2904, 2145, 957, 341, 115, 6, 2], [2, 1, 165, 122, 1496, 1375, 3399, 3564, 2442, 2607, 627, 506, 60, 17, 1], [2, 1, 165, 123, 1485, 1430, 3234, 3894, 1980, 3069, 297, 671, 5, 28, 0], [2, 1, 166, 110, 1562, 1155, 3894, 2772, 3366, 1815, 1122, 286, 126, 5, 2], [2, 1, 166, 111, 1551, 1210, 3729, 3102, 2904, 2277, 792, 451, 71, 16, 1], [2, 1, 166, 112, 1540, 1265, 3564, 3432, 2442, 2739, 462, 616, 16, 27, 0], [2, 1, 167, 99, 1617, 990, 4224, 2310, 3828, 1485, 1287, 231, 137, 4, 2], [2, 1, 167, 100, 1606, 1045, 4059, 2640, 3366, 1947, 957, 396, 82, 15, 1], [2, 1, 167, 101, 1595, 1100, 3894, 2970, 2904, 2409, 627, 561, 27, 26, 0], [2, 1, 168, 88, 1672, 825, 4554, 1848, 4290, 1155, 1452, 176, 148, 3, 2], [2, 1, 168, 89, 1661, 880, 4389, 2178, 3828, 1617, 1122, 341, 93, 14, 1], [2, 1, 168, 90, 1650, 935, 4224, 2508, 3366, 2079, 792, 506, 38, 25, 0], [2, 1, 169, 77, 1727, 660, 4884, 1386, 4752, 825, 1617, 121, 159, 2, 2], [2, 1, 169, 78, 1716, 715, 4719, 1716, 4290, 1287, 1287, 286, 104, 13, 1], [2, 1, 169, 79, 1705, 770, 4554, 2046, 3828, 1749, 957, 451, 49, 24, 0], [2, 1, 170, 66, 1782, 495, 5214, 924, 5214, 495, 1782, 66, 170, 1, 2], [2, 1, 170, 67, 1771, 550, 5049, 1254, 4752, 957, 1452, 231, 115, 12, 1], [2, 1, 170, 68, 1760, 605, 4884, 1584, 4290, 1419, 1122, 396, 60, 23, 0], [2, 1, 171, 55, 1837, 330, 5544, 462, 5676, 165, 1947, 11, 181, 0, 2], [2, 1, 171, 56, 1826, 385, 5379, 792, 5214, 627, 1617, 176, 126, 11, 1], [2, 1, 171, 57, 1815, 440, 5214, 1122, 4752, 1089, 1287, 341, 71, 22, 0], [2, 1, 172, 45, 1881, 220, 5709, 330, 5676, 297, 1782, 121, 137, 10, 1], [2, 1, 172, 46, 1870, 275, 5544, 660, 5214, 759, 1452, 286, 82, 21, 0], [2, 1, 173, 35, 1925, 110, 5874, 198, 5676, 429, 1617, 231, 93, 20, 0], [2, 2, 148, 241, 1023, 2585, 1287, 6138, 264, 3828, 242, 517, 103, 1, 3], [2, 2, 149, 230, 1078, 2420, 1617, 5676, 726, 3498, 407, 462, 114, 0, 3], [2, 2, 149, 231, 1067, 2475, 1452, 6006, 264, 3960, 77, 627, 59, 11, 2], [2, 2, 150, 220, 1122, 2310, 1782, 5544, 726, 3630, 242, 572, 70, 10, 2], [2, 2, 151, 209, 1177, 2145, 2112, 5082, 1188, 3300, 407, 517, 81, 9, 2], [2, 2, 151, 210, 1166, 2200, 1947, 5412, 726, 3762, 77, 682, 26, 20, 1], [2, 2, 152, 198, 1232, 1980, 2442, 4620, 1650, 2970, 572, 462, 92, 8, 2], [2, 2, 152, 199, 1221, 2035, 2277, 4950, 1188, 3432, 242, 627, 37, 19, 1], [2, 2, 153, 187, 1287, 1815, 2772, 4158, 2112, 2640, 737, 407, 103, 7, 2], [2, 2, 153, 188, 1276, 1870, 2607, 4488, 1650, 3102, 407, 572, 48, 18, 1], [2, 2, 154, 176, 1342, 1650, 3102, 3696, 2574, 2310, 902, 352, 114, 6, 2], [2, 2, 154, 177, 1331, 1705, 2937, 4026, 2112, 2772, 572, 517, 59, 17, 1], [2, 2, 154, 178, 1320, 1760, 2772, 4356, 1650, 3234, 242, 682, 4, 28, 0], [2, 2, 155, 165, 1397, 1485, 3432, 3234, 3036, 1980, 1067, 297, 125, 5, 2], [2, 2, 155, 166, 1386, 1540, 3267, 3564, 2574, 2442, 737, 462, 70, 16, 1], [2, 2, 155, 167, 1375, 1595, 3102, 3894, 2112, 2904, 407, 627, 15, 27, 0], [2, 2, 156, 154, 1452, 1320, 3762, 2772, 3498, 1650, 1232, 242, 136, 4, 2], [2, 2, 156, 155, 1441, 1375, 3597, 3102, 3036, 2112, 902, 407, 81, 15, 1], [2, 2, 156, 156, 1430, 1430, 3432, 3432, 2574, 2574, 572, 572, 26, 26, 0], [2, 2, 157, 143, 1507, 1155, 4092, 2310, 3960, 1320, 1397, 187, 147, 3, 2], [2, 2, 157, 144, 1496, 1210, 3927, 2640, 3498, 1782, 1067, 352, 92, 14, 1], [2, 2, 157, 145, 1485, 1265, 3762, 2970, 3036, 2244, 737, 517, 37, 25, 0], [2, 2, 158, 132, 1562, 990, 4422, 1848, 4422, 990, 1562, 132, 158, 2, 2], [2, 2, 158, 133, 1551, 1045, 4257, 2178, 3960, 1452, 1232, 297, 103, 13, 1], [2, 2, 158, 134, 1540, 1100, 4092, 2508, 3498, 1914, 902, 462, 48, 24, 0], [2, 2, 159, 121, 1617, 825, 4752, 1386, 4884, 660, 1727, 77, 169, 1, 2], [2, 2, 159, 122, 1606, 880, 4587, 1716, 4422, 1122, 1397, 242, 114, 12, 1], [2, 2, 159, 123, 1595, 935, 4422, 2046, 3960, 1584, 1067, 407, 59, 23, 0], [2, 2, 160, 110, 1672, 660, 5082, 924, 5346, 330, 1892, 22, 180, 0, 2], [2, 2, 160, 111, 1661, 715, 4917, 1254, 4884, 792, 1562, 187, 125, 11, 1], [2, 2, 160, 112, 1650, 770, 4752, 1584, 4422, 1254, 1232, 352, 70, 22, 0], [2, 2, 161, 100, 1716, 550, 5247, 792, 5346, 462, 1727, 132, 136, 10, 1], [2, 2, 161, 101, 1705, 605, 5082, 1122, 4884, 924, 1397, 297, 81, 21, 0], [2, 2, 162, 89, 1771, 385, 5577, 330, 5808, 132, 1892, 77, 147, 9, 1], [2, 2, 162, 90, 1760, 440, 5412, 660, 5346, 594, 1562, 242, 92, 20, 0], [2, 2, 163, 79, 1815, 275, 5742, 198, 5808, 264, 1727, 187, 103, 19, 0], [2, 3, 138, 285, 913, 2750, 1155, 6138, 396, 3663, 352, 473, 113, 0, 3], [2, 3, 139, 275, 957, 2640, 1320, 6006, 396, 3795, 187, 583, 69, 10, 2], [2, 3, 140, 264, 1012, 2475, 1650, 5544, 858, 3465, 352, 528, 80, 9, 2], [2, 3, 140, 265, 1001, 2530, 1485, 5874, 396, 3927, 22, 693, 25, 20, 1], [2, 3, 141, 253, 1067, 2310, 1980, 5082, 1320, 3135, 517, 473, 91, 8, 2], [2, 3, 141, 254, 1056, 2365, 1815, 5412, 858, 3597, 187, 638, 36, 19, 1], [2, 3, 142, 242, 1122, 2145, 2310, 4620, 1782, 2805, 682, 418, 102, 7, 2], [2, 3, 142, 243, 1111, 2200, 2145, 4950, 1320, 3267, 352, 583, 47, 18, 1], [2, 3, 143, 231, 1177, 1980, 2640, 4158, 2244, 2475, 847, 363, 113, 6, 2], [2, 3, 143, 232, 1166, 2035, 2475, 4488, 1782, 2937, 517, 528, 58, 17, 1], [2, 3, 143, 233, 1155, 2090, 2310, 4818, 1320, 3399, 187, 693, 3, 28, 0], [2, 3, 144, 220, 1232, 1815, 2970, 3696, 2706, 2145, 1012, 308, 124, 5, 2], [2, 3, 144, 221, 1221, 1870, 2805, 4026, 2244, 2607, 682, 473, 69, 16, 1], [2, 3, 144, 222, 1210, 1925, 2640, 4356, 1782, 3069, 352, 638, 14, 27, 0], [2, 3, 145, 209, 1287, 1650, 3300, 3234, 3168, 1815, 1177, 253, 135, 4, 2], [2, 3, 145, 210, 1276, 1705, 3135, 3564, 2706, 2277, 847, 418, 80, 15, 1], [2, 3, 145, 211, 1265, 1760, 2970, 3894, 2244, 2739, 517, 583, 25, 26, 0], [2, 3, 146, 198, 1342, 1485, 3630, 2772, 3630, 1485, 1342, 198, 146, 3, 2], [2, 3, 146, 199, 1331, 1540, 3465, 3102, 3168, 1947, 1012, 363, 91, 14, 1], [2, 3, 146, 200, 1320, 1595, 3300, 3432, 2706, 2409, 682, 528, 36, 25, 0], [2, 3, 147, 187, 1397, 1320, 3960, 2310, 4092, 1155, 1507, 143, 157, 2, 2], [2, 3, 147, 188, 1386, 1375, 3795, 2640, 3630, 1617, 1177, 308, 102, 13, 1], [2, 3, 147, 189, 1375, 1430, 3630, 2970, 3168, 2079, 847, 473, 47, 24, 0], [2, 3, 148, 176, 1452, 1155, 4290, 1848, 4554, 825, 1672, 88, 168, 1, 2], [2, 3, 148, 177, 1441, 1210, 4125, 2178, 4092, 1287, 1342, 253, 113, 12, 1], [2, 3, 148, 178, 1430, 1265, 3960, 2508, 3630, 1749, 1012, 418, 58, 23, 0], [2, 3, 149, 165, 1507, 990, 4620, 1386, 5016, 495, 1837, 33, 179, 0, 2], [2, 3, 149, 166, 1496, 1045, 4455, 1716, 4554, 957, 1507, 198, 124, 11, 1], [2, 3, 149, 167, 1485, 1100, 4290, 2046, 4092, 1419, 1177, 363, 69, 22, 0], [2, 3, 150, 155, 1551, 880, 4785, 1254, 5016, 627, 1672, 143, 135, 10, 1], [2, 3, 150, 156, 1540, 935, 4620, 1584, 4554, 1089, 1342, 308, 80, 21, 0], [2, 3, 151, 144, 1606, 715, 5115, 792, 5478, 297, 1837, 88, 146, 9, 1], [2, 3, 151, 145, 1595, 770, 4950, 1122, 5016, 759, 1507, 253, 91, 20, 0], [2, 3, 152, 134, 1650, 605, 5280, 660, 5478, 429, 1672, 198, 102, 19, 0], [2, 3, 153, 123, 1705, 440, 5610, 198, 5940, 99, 1837, 143, 113, 18, 0], [2, 4, 127, 340, 748, 3080, 693, 6600, 66, 3828, 297, 484, 112, 0, 3], [2, 4, 128, 330, 792, 2970, 858, 6468, 66, 3960, 132, 594, 68, 10, 2], [2, 4, 129, 319, 847, 2805, 1188, 6006, 528, 3630, 297, 539, 79, 9, 2], [2, 4, 130, 308, 902, 2640, 1518, 5544, 990, 3300, 462, 484, 90, 8, 2], [2, 4, 130, 309, 891, 2695, 1353, 5874, 528, 3762, 132, 649, 35, 19, 1], [2, 4, 131, 297, 957, 2475, 1848, 5082, 1452, 2970, 627, 429, 101, 7, 2], [2, 4, 131, 298, 946, 2530, 1683, 5412, 990, 3432, 297, 594, 46, 18, 1], [2, 4, 132, 286, 1012, 2310, 2178, 4620, 1914, 2640, 792, 374, 112, 6, 2], [2, 4, 132, 287, 1001, 2365, 2013, 4950, 1452, 3102, 462, 539, 57, 17, 1], [2, 4, 132, 288, 990, 2420, 1848, 5280, 990, 3564, 132, 704, 2, 28, 0], [2, 4, 133, 275, 1067, 2145, 2508, 4158, 2376, 2310, 957, 319, 123, 5, 2], [2, 4, 133, 276, 1056, 2200, 2343, 4488, 1914, 2772, 627, 484, 68, 16, 1], [2, 4, 133, 277, 1045, 2255, 2178, 4818, 1452, 3234, 297, 649, 13, 27, 0], [2, 4, 134, 264, 1122, 1980, 2838, 3696, 2838, 1980, 1122, 264, 134, 4, 2], [2, 4, 134, 265, 1111, 2035, 2673, 4026, 2376, 2442, 792, 429, 79, 15, 1], [2, 4, 134, 266, 1100, 2090, 2508, 4356, 1914, 2904, 462, 594, 24, 26, 0], [2, 4, 135, 253, 1177, 1815, 3168, 3234, 3300, 1650, 1287, 209, 145, 3, 2], [2, 4, 135, 254, 1166, 1870, 3003, 3564, 2838, 2112, 957, 374, 90, 14, 1], [2, 4, 135, 255, 1155, 1925, 2838, 3894, 2376, 2574, 627, 539, 35, 25, 0], [2, 4, 136, 242, 1232, 1650, 3498, 2772, 3762, 1320, 1452, 154, 156, 2, 2], [2, 4, 136, 243, 1221, 1705, 3333, 3102, 3300, 1782, 1122, 319, 101, 13, 1], [2, 4, 136, 244, 1210, 1760, 3168, 3432, 2838, 2244, 792, 484, 46, 24, 0], [2, 4, 137, 231, 1287, 1485, 3828, 2310, 4224, 990, 1617, 99, 167, 1, 2], [2, 4, 137, 232, 1276, 1540, 3663, 2640, 3762, 1452, 1287, 264, 112, 12, 1], [2, 4, 137, 233, 1265, 1595, 3498, 2970, 3300, 1914, 957, 429, 57, 23, 0], [2, 4, 138, 220, 1342, 1320, 4158, 1848, 4686, 660, 1782, 44, 178, 0, 2], [2, 4, 138, 221, 1331, 1375, 3993, 2178, 4224, 1122, 1452, 209, 123, 11, 1], [2, 4, 138, 222, 1320, 1430, 3828, 2508, 3762, 1584, 1122, 374, 68, 22, 0], [2, 4, 139, 210, 1386, 1210, 4323, 1716, 4686, 792, 1617, 154, 134, 10, 1], [2, 4, 139, 211, 1375, 1265, 4158, 2046, 4224, 1254, 1287, 319, 79, 21, 0], [2, 4, 140, 199, 1441, 1045, 4653, 1254, 5148, 462, 1782, 99, 145, 9, 1], [2, 4, 140, 200, 1430, 1100, 4488, 1584, 4686, 924, 1452, 264, 90, 20, 0], [2, 4, 141, 188, 1496, 880, 4983, 792, 5610, 132, 1947, 44, 156, 8, 1], [2, 4, 141, 189, 1485, 935, 4818, 1122, 5148, 594, 1617, 209, 101, 19, 0], [2, 4, 142, 178, 1540, 770, 5148, 660, 5610, 264, 1782, 154, 112, 18, 0], [2, 5, 118, 374, 682, 3135, 726, 6468, 198, 3795, 242, 550, 78, 9, 2], [2, 5, 119, 363, 737, 2970, 1056, 6006, 660, 3465, 407, 495, 89, 8, 2], [2, 5, 119, 364, 726, 3025, 891, 6336, 198, 3927, 77, 660, 34, 19, 1], [2, 5, 120, 352, 792, 2805, 1386, 5544, 1122, 3135, 572, 440, 100, 7, 2], [2, 5, 120, 353, 781, 2860, 1221, 5874, 660, 3597, 242, 605, 45, 18, 1], [2, 5, 121, 341, 847, 2640, 1716, 5082, 1584, 2805, 737, 385, 111, 6, 2], [2, 5, 121, 342, 836, 2695, 1551, 5412, 1122, 3267, 407, 550, 56, 17, 1], [2, 5, 121, 343, 825, 2750, 1386, 5742, 660, 3729, 77, 715, 1, 28, 0], [2, 5, 122, 330, 902, 2475, 2046, 4620, 2046, 2475, 902, 330, 122, 5, 2], [2, 5, 122, 331, 891, 2530, 1881, 4950, 1584, 2937, 572, 495, 67, 16, 1], [2, 5, 122, 332, 880, 2585, 1716, 5280, 1122, 3399, 242, 660, 12, 27, 0], [2, 5, 123, 319, 957, 2310, 2376, 4158, 2508, 2145, 1067, 275, 133, 4, 2], [2, 5, 123, 320, 946, 2365, 2211, 4488, 2046, 2607, 737, 440, 78, 15, 1], [2, 5, 123, 321, 935, 2420, 2046, 4818, 1584, 3069, 407, 605, 23, 26, 0], [2, 5, 124, 308, 1012, 2145, 2706, 3696, 2970, 1815, 1232, 220, 144, 3, 2], [2, 5, 124, 309, 1001, 2200, 2541, 4026, 2508, 2277, 902, 385, 89, 14, 1], [2, 5, 124, 310, 990, 2255, 2376, 4356, 2046, 2739, 572, 550, 34, 25, 0], [2, 5, 125, 297, 1067, 1980, 3036, 3234, 3432, 1485, 1397, 165, 155, 2, 2], [2, 5, 125, 298, 1056, 2035, 2871, 3564, 2970, 1947, 1067, 330, 100, 13, 1], [2, 5, 125, 299, 1045, 2090, 2706, 3894, 2508, 2409, 737, 495, 45, 24, 0], [2, 5, 126, 286, 1122, 1815, 3366, 2772, 3894, 1155, 1562, 110, 166, 1, 2], [2, 5, 126, 287, 1111, 1870, 3201, 3102, 3432, 1617, 1232, 275, 111, 12, 1], [2, 5, 126, 288, 1100, 1925, 3036, 3432, 2970, 2079, 902, 440, 56, 23, 0], [2, 5, 127, 275, 1177, 1650, 3696, 2310, 4356, 825, 1727, 55, 177, 0, 2], [2, 5, 127, 276, 1166, 1705, 3531, 2640, 3894, 1287, 1397, 220, 122, 11, 1], [2, 5, 127, 277, 1155, 1760, 3366, 2970, 3432, 1749, 1067, 385, 67, 22, 0], [2, 5, 128, 265, 1221, 1540, 3861, 2178, 4356, 957, 1562, 165, 133, 10, 1], [2, 5, 128, 266, 1210, 1595, 3696, 2508, 3894, 1419, 1232, 330, 78, 21, 0], [2, 5, 129, 254, 1276, 1375, 4191, 1716, 4818, 627, 1727, 110, 144, 9, 1], [2, 5, 129, 255, 1265, 1430, 4026, 2046, 4356, 1089, 1397, 275, 89, 20, 0], [2, 5, 130, 243, 1331, 1210, 4521, 1254, 5280, 297, 1892, 55, 155, 8, 1], [2, 5, 130, 244, 1320, 1265, 4356, 1584, 4818, 759, 1562, 220, 100, 19, 0], [2, 5, 131, 233, 1375, 1100, 4686, 1122, 5280, 429, 1727, 165, 111, 18, 0], [2, 5, 132, 222, 1430, 935, 5016, 660, 5742, 99, 1892, 110, 122, 17, 0], [2, 6, 108, 418, 572, 3300, 594, 6468, 330, 3630, 352, 506, 88, 8, 2], [2, 6, 109, 407, 627, 3135, 924, 6006, 792, 3300, 517, 451, 99, 7, 2], [2, 6, 109, 408, 616, 3190, 759, 6336, 330, 3762, 187, 616, 44, 18, 1], [2, 6, 110, 396, 682, 2970, 1254, 5544, 1254, 2970, 682, 396, 110, 6, 2], [2, 6, 110, 397, 671, 3025, 1089, 5874, 792, 3432, 352, 561, 55, 17, 1], [2, 6, 110, 398, 660, 3080, 924, 6204, 330, 3894, 22, 726, 0, 28, 0], [2, 6, 111, 385, 737, 2805, 1584, 5082, 1716, 2640, 847, 341, 121, 5, 2], [2, 6, 111, 386, 726, 2860, 1419, 5412, 1254, 3102, 517, 506, 66, 16, 1], [2, 6, 111, 387, 715, 2915, 1254, 5742, 792, 3564, 187, 671, 11, 27, 0], [2, 6, 112, 374, 792, 2640, 1914, 4620, 2178, 2310, 1012, 286, 132, 4, 2], [2, 6, 112, 375, 781, 2695, 1749, 4950, 1716, 2772, 682, 451, 77, 15, 1], [2, 6, 112, 376, 770, 2750, 1584, 5280, 1254, 3234, 352, 616, 22, 26, 0], [2, 6, 113, 363, 847, 2475, 2244, 4158, 2640, 1980, 1177, 231, 143, 3, 2], [2, 6, 113, 364, 836, 2530, 2079, 4488, 2178, 2442, 847, 396, 88, 14, 1], [2, 6, 113, 365, 825, 2585, 1914, 4818, 1716, 2904, 517, 561, 33, 25, 0], [2, 6, 114, 352, 902, 2310, 2574, 3696, 3102, 1650, 1342, 176, 154, 2, 2], [2, 6, 114, 353, 891, 2365, 2409, 4026, 2640, 2112, 1012, 341, 99, 13, 1], [2, 6, 114, 354, 880, 2420, 2244, 4356, 2178, 2574, 682, 506, 44, 24, 0], [2, 6, 115, 341, 957, 2145, 2904, 3234, 3564, 1320, 1507, 121, 165, 1, 2], [2, 6, 115, 342, 946, 2200, 2739, 3564, 3102, 1782, 1177, 286, 110, 12, 1], [2, 6, 115, 343, 935, 2255, 2574, 3894, 2640, 2244, 847, 451, 55, 23, 0], [2, 6, 116, 330, 1012, 1980, 3234, 2772, 4026, 990, 1672, 66, 176, 0, 2], [2, 6, 116, 331, 1001, 2035, 3069, 3102, 3564, 1452, 1342, 231, 121, 11, 1], [2, 6, 116, 332, 990, 2090, 2904, 3432, 3102, 1914, 1012, 396, 66, 22, 0], [2, 6, 117, 320, 1056, 1870, 3399, 2640, 4026, 1122, 1507, 176, 132, 10, 1], [2, 6, 117, 321, 1045, 1925, 3234, 2970, 3564, 1584, 1177, 341, 77, 21, 0], [2, 6, 118, 309, 1111, 1705, 3729, 2178, 4488, 792, 1672, 121, 143, 9, 1], [2, 6, 118, 310, 1100, 1760, 3564, 2508, 4026, 1254, 1342, 286, 88, 20, 0], [2, 6, 119, 298, 1166, 1540, 4059, 1716, 4950, 462, 1837, 66, 154, 8, 1], [2, 6, 119, 299, 1155, 1595, 3894, 2046, 4488, 924, 1507, 231, 99, 19, 0], [2, 6, 120, 287, 1221, 1375, 4389, 1254, 5412, 132, 2002, 11, 165, 7, 1], [2, 6, 120, 288, 1210, 1430, 4224, 1584, 4950, 594, 1672, 176, 110, 18, 0], [2, 6, 121, 277, 1265, 1265, 4554, 1122, 5412, 264, 1837, 121, 121, 17, 0], [2, 7, 97, 473, 407, 3630, 132, 6930, 0, 3795, 297, 517, 87, 8, 2], [2, 7, 98, 462, 462, 3465, 462, 6468, 462, 3465, 462, 462, 98, 7, 2], [2, 7, 98, 463, 451, 3520, 297, 6798, 0, 3927, 132, 627, 43, 18, 1], [2, 7, 99, 451, 517, 3300, 792, 6006, 924, 3135, 627, 407, 109, 6, 2], [2, 7, 99, 452, 506, 3355, 627, 6336, 462, 3597, 297, 572, 54, 17, 1], [2, 7, 100, 440, 572, 3135, 1122, 5544, 1386, 2805, 792, 352, 120, 5, 2], [2, 7, 100, 441, 561, 3190, 957, 5874, 924, 3267, 462, 517, 65, 16, 1], [2, 7, 100, 442, 550, 3245, 792, 6204, 462, 3729, 132, 682, 10, 27, 0], [2, 7, 101, 429, 627, 2970, 1452, 5082, 1848, 2475, 957, 297, 131, 4, 2], [2, 7, 101, 430, 616, 3025, 1287, 5412, 1386, 2937, 627, 462, 76, 15, 1], [2, 7, 101, 431, 605, 3080, 1122, 5742, 924, 3399, 297, 627, 21, 26, 0], [2, 7, 102, 418, 682, 2805, 1782, 4620, 2310, 2145, 1122, 242, 142, 3, 2], [2, 7, 102, 419, 671, 2860, 1617, 4950, 1848, 2607, 792, 407, 87, 14, 1], [2, 7, 102, 420, 660, 2915, 1452, 5280, 1386, 3069, 462, 572, 32, 25, 0], [2, 7, 103, 407, 737, 2640, 2112, 4158, 2772, 1815, 1287, 187, 153, 2, 2], [2, 7, 103, 408, 726, 2695, 1947, 4488, 2310, 2277, 957, 352, 98, 13, 1], [2, 7, 103, 409, 715, 2750, 1782, 4818, 1848, 2739, 627, 517, 43, 24, 0], [2, 7, 104, 396, 792, 2475, 2442, 3696, 3234, 1485, 1452, 132, 164, 1, 2], [2, 7, 104, 397, 781, 2530, 2277, 4026, 2772, 1947, 1122, 297, 109, 12, 1], [2, 7, 104, 398, 770, 2585, 2112, 4356, 2310, 2409, 792, 462, 54, 23, 0], [2, 7, 105, 385, 847, 2310, 2772, 3234, 3696, 1155, 1617, 77, 175, 0, 2], [2, 7, 105, 386, 836, 2365, 2607, 3564, 3234, 1617, 1287, 242, 120, 11, 1], [2, 7, 105, 387, 825, 2420, 2442, 3894, 2772, 2079, 957, 407, 65, 22, 0], [2, 7, 106, 375, 891, 2200, 2937, 3102, 3696, 1287, 1452, 187, 131, 10, 1], [2, 7, 106, 376, 880, 2255, 2772, 3432, 3234, 1749, 1122, 352, 76, 21, 0], [2, 7, 107, 364, 946, 2035, 3267, 2640, 4158, 957, 1617, 132, 142, 9, 1], [2, 7, 107, 365, 935, 2090, 3102, 2970, 3696, 1419, 1287, 297, 87, 20, 0], [2, 7, 108, 353, 1001, 1870, 3597, 2178, 4620, 627, 1782, 77, 153, 8, 1], [2, 7, 108, 354, 990, 1925, 3432, 2508, 4158, 1089, 1452, 242, 98, 19, 0], [2, 7, 109, 342, 1056, 1705, 3927, 1716, 5082, 297, 1947, 22, 164, 7, 1], [2, 7, 109, 343, 1045, 1760, 3762, 2046, 4620, 759, 1617, 187, 109, 18, 0], [2, 7, 110, 332, 1100, 1595, 4092, 1584, 5082, 429, 1782, 132, 120, 17, 0], [2, 7, 111, 321, 1155, 1430, 4422, 1122, 5544, 99, 1947, 77, 131, 16, 0], [2, 8, 87, 517, 297, 3795, 0, 6930, 132, 3630, 407, 473, 97, 7, 2], [2, 8, 88, 506, 352, 3630, 330, 6468, 594, 3300, 572, 418, 108, 6, 2], [2, 8, 88, 507, 341, 3685, 165, 6798, 132, 3762, 242, 583, 53, 17, 1], [2, 8, 89, 495, 407, 3465, 660, 6006, 1056, 2970, 737, 363, 119, 5, 2], [2, 8, 89, 496, 396, 3520, 495, 6336, 594, 3432, 407, 528, 64, 16, 1], [2, 8, 89, 497, 385, 3575, 330, 6666, 132, 3894, 77, 693, 9, 27, 0], [2, 8, 90, 484, 462, 3300, 990, 5544, 1518, 2640, 902, 308, 130, 4, 2], [2, 8, 90, 485, 451, 3355, 825, 5874, 1056, 3102, 572, 473, 75, 15, 1], [2, 8, 90, 486, 440, 3410, 660, 6204, 594, 3564, 242, 638, 20, 26, 0], [2, 8, 91, 473, 517, 3135, 1320, 5082, 1980, 2310, 1067, 253, 141, 3, 2], [2, 8, 91, 474, 506, 3190, 1155, 5412, 1518, 2772, 737, 418, 86, 14, 1], [2, 8, 91, 475, 495, 3245, 990, 5742, 1056, 3234, 407, 583, 31, 25, 0], [2, 8, 92, 462, 572, 2970, 1650, 4620, 2442, 1980, 1232, 198, 152, 2, 2], [2, 8, 92, 463, 561, 3025, 1485, 4950, 1980, 2442, 902, 363, 97, 13, 1], [2, 8, 92, 464, 550, 3080, 1320, 5280, 1518, 2904, 572, 528, 42, 24, 0], [2, 8, 93, 451, 627, 2805, 1980, 4158, 2904, 1650, 1397, 143, 163, 1, 2], [2, 8, 93, 452, 616, 2860, 1815, 4488, 2442, 2112, 1067, 308, 108, 12, 1], [2, 8, 93, 453, 605, 2915, 1650, 4818, 1980, 2574, 737, 473, 53, 23, 0], [2, 8, 94, 440, 682, 2640, 2310, 3696, 3366, 1320, 1562, 88, 174, 0, 2], [2, 8, 94, 441, 671, 2695, 2145, 4026, 2904, 1782, 1232, 253, 119, 11, 1], [2, 8, 94, 442, 660, 2750, 1980, 4356, 2442, 2244, 902, 418, 64, 22, 0], [2, 8, 95, 430, 726, 2530, 2475, 3564, 3366, 1452, 1397, 198, 130, 10, 1], [2, 8, 95, 431, 715, 2585, 2310, 3894, 2904, 1914, 1067, 363, 75, 21, 0], [2, 8, 96, 419, 781, 2365, 2805, 3102, 3828, 1122, 1562, 143, 141, 9, 1], [2, 8, 96, 420, 770, 2420, 2640, 3432, 3366, 1584, 1232, 308, 86, 20, 0], [2, 8, 97, 408, 836, 2200, 3135, 2640, 4290, 792, 1727, 88, 152, 8, 1], [2, 8, 97, 409, 825, 2255, 2970, 2970, 3828, 1254, 1397, 253, 97, 19, 0], [2, 8, 98, 397, 891, 2035, 3465, 2178, 4752, 462, 1892, 33, 163, 7, 1], [2, 8, 98, 398, 880, 2090, 3300, 2508, 4290, 924, 1562, 198, 108, 18, 0], [2, 8, 99, 387, 935, 1925, 3630, 2046, 4752, 594, 1727, 143, 119, 17, 0], [2, 8, 100, 376, 990, 1760, 3960, 1584, 5214, 264, 1892, 88, 130, 16, 0], [2, 9, 78, 550, 242, 3795, 198, 6468, 726, 3135, 682, 374, 118, 5, 2], [2, 9, 78, 551, 231, 3850, 33, 6798, 264, 3597, 352, 539, 63, 16, 1], [2, 9, 79, 539, 297, 3630, 528, 6006, 1188, 2805, 847, 319, 129, 4, 2], [2, 9, 79, 540, 286, 3685, 363, 6336, 726, 3267, 517, 484, 74, 15, 1], [2, 9, 79, 541, 275, 3740, 198, 6666, 264, 3729, 187, 649, 19, 26, 0], [2, 9, 80, 528, 352, 3465, 858, 5544, 1650, 2475, 1012, 264, 140, 3, 2], [2, 9, 80, 529, 341, 3520, 693, 5874, 1188, 2937, 682, 429, 85, 14, 1], [2, 9, 80, 530, 330, 3575, 528, 6204, 726, 3399, 352, 594, 30, 25, 0], [2, 9, 81, 517, 407, 3300, 1188, 5082, 2112, 2145, 1177, 209, 151, 2, 2], [2, 9, 81, 518, 396, 3355, 1023, 5412, 1650, 2607, 847, 374, 96, 13, 1], [2, 9, 81, 519, 385, 3410, 858, 5742, 1188, 3069, 517, 539, 41, 24, 0], [2, 9, 82, 506, 462, 3135, 1518, 4620, 2574, 1815, 1342, 154, 162, 1, 2], [2, 9, 82, 507, 451, 3190, 1353, 4950, 2112, 2277, 1012, 319, 107, 12, 1], [2, 9, 82, 508, 440, 3245, 1188, 5280, 1650, 2739, 682, 484, 52, 23, 0], [2, 9, 83, 495, 517, 2970, 1848, 4158, 3036, 1485, 1507, 99, 173, 0, 2], [2, 9, 83, 496, 506, 3025, 1683, 4488, 2574, 1947, 1177, 264, 118, 11, 1], [2, 9, 83, 497, 495, 3080, 1518, 4818, 2112, 2409, 847, 429, 63, 22, 0], [2, 9, 84, 485, 561, 2860, 2013, 4026, 3036, 1617, 1342, 209, 129, 10, 1], [2, 9, 84, 486, 550, 2915, 1848, 4356, 2574, 2079, 1012, 374, 74, 21, 0], [2, 9, 85, 474, 616, 2695, 2343, 3564, 3498, 1287, 1507, 154, 140, 9, 1], [2, 9, 85, 475, 605, 2750, 2178, 3894, 3036, 1749, 1177, 319, 85, 20, 0], [2, 9, 86, 463, 671, 2530, 2673, 3102, 3960, 957, 1672, 99, 151, 8, 1], [2, 9, 86, 464, 660, 2585, 2508, 3432, 3498, 1419, 1342, 264, 96, 19, 0], [2, 9, 87, 452, 726, 2365, 3003, 2640, 4422, 627, 1837, 44, 162, 7, 1], [2, 9, 87, 453, 715, 2420, 2838, 2970, 3960, 1089, 1507, 209, 107, 18, 0], [2, 9, 88, 442, 770, 2255, 3168, 2508, 4422, 759, 1672, 154, 118, 17, 0], [2, 9, 89, 431, 825, 2090, 3498, 2046, 4884, 429, 1837, 99, 129, 16, 0], [2, 9, 90, 420, 880, 1925, 3828, 1584, 5346, 99, 2002, 44, 140, 15, 0], [2, 10, 68, 594, 132, 3960, 66, 6468, 858, 2970, 792, 330, 128, 4, 2], [2, 10, 69, 583, 187, 3795, 396, 6006, 1320, 2640, 957, 275, 139, 3, 2], [2, 10, 69, 584, 176, 3850, 231, 6336, 858, 3102, 627, 440, 84, 14, 1], [2, 10, 69, 585, 165, 3905, 66, 6666, 396, 3564, 297, 605, 29, 25, 0], [2, 10, 70, 572, 242, 3630, 726, 5544, 1782, 2310, 1122, 220, 150, 2, 2], [2, 10, 70, 573, 231, 3685, 561, 5874, 1320, 2772, 792, 385, 95, 13, 1], [2, 10, 70, 574, 220, 3740, 396, 6204, 858, 3234, 462, 550, 40, 24, 0], [2, 10, 71, 561, 297, 3465, 1056, 5082, 2244, 1980, 1287, 165, 161, 1, 2], [2, 10, 71, 562, 286, 3520, 891, 5412, 1782, 2442, 957, 330, 106, 12, 1], [2, 10, 71, 563, 275, 3575, 726, 5742, 1320, 2904, 627, 495, 51, 23, 0], [2, 10, 72, 550, 352, 3300, 1386, 4620, 2706, 1650, 1452, 110, 172, 0, 2], [2, 10, 72, 551, 341, 3355, 1221, 4950, 2244, 2112, 1122, 275, 117, 11, 1], [2, 10, 72, 552, 330, 3410, 1056, 5280, 1782, 2574, 792, 440, 62, 22, 0], [2, 10, 73, 540, 396, 3190, 1551, 4488, 2706, 1782, 1287, 220, 128, 10, 1], [2, 10, 73, 541, 385, 3245, 1386, 4818, 2244, 2244, 957, 385, 73, 21, 0], [2, 10, 74, 529, 451, 3025, 1881, 4026, 3168, 1452, 1452, 165, 139, 9, 1], [2, 10, 74, 530, 440, 3080, 1716, 4356, 2706, 1914, 1122, 330, 84, 20, 0], [2, 10, 75, 518, 506, 2860, 2211, 3564, 3630, 1122, 1617, 110, 150, 8, 1], [2, 10, 75, 519, 495, 2915, 2046, 3894, 3168, 1584, 1287, 275, 95, 19, 0], [2, 10, 76, 507, 561, 2695, 2541, 3102, 4092, 792, 1782, 55, 161, 7, 1], [2, 10, 76, 508, 550, 2750, 2376, 3432, 3630, 1254, 1452, 220, 106, 18, 0], [2, 10, 77, 496, 616, 2530, 2871, 2640, 4554, 462, 1947, 0, 172, 6, 1], [2, 10, 77, 497, 605, 2585, 2706, 2970, 4092, 924, 1617, 165, 117, 17, 0], [2, 10, 78, 486, 660, 2420, 3036, 2508, 4554, 594, 1782, 110, 128, 16, 0], [2, 10, 79, 475, 715, 2255, 3366, 2046, 5016, 264, 1947, 55, 139, 15, 0], [2, 11, 59, 627, 77, 3960, 264, 6006, 1452, 2475, 1067, 231, 149, 2, 2], [2, 11, 59, 628, 66, 4015, 99, 6336, 990, 2937, 737, 396, 94, 13, 1], [2, 11, 60, 616, 132, 3795, 594, 5544, 1914, 2145, 1232, 176, 160, 1, 2], [2, 11, 60, 617, 121, 3850, 429, 5874, 1452, 2607, 902, 341, 105, 12, 1], [2, 11, 60, 618, 110, 3905, 264, 6204, 990, 3069, 572, 506, 50, 23, 0], [2, 11, 61, 605, 187, 3630, 924, 5082, 2376, 1815, 1397, 121, 171, 0, 2], [2, 11, 61, 606, 176, 3685, 759, 5412, 1914, 2277, 1067, 286, 116, 11, 1], [2, 11, 61, 607, 165, 3740, 594, 5742, 1452, 2739, 737, 451, 61, 22, 0], [2, 11, 62, 595, 231, 3520, 1089, 4950, 2376, 1947, 1232, 231, 127, 10, 1], [2, 11, 62, 596, 220, 3575, 924, 5280, 1914, 2409, 902, 396, 72, 21, 0], [2, 11, 63, 584, 286, 3355, 1419, 4488, 2838, 1617, 1397, 176, 138, 9, 1], [2, 11, 63, 585, 275, 3410, 1254, 4818, 2376, 2079, 1067, 341, 83, 20, 0], [2, 11, 64, 573, 341, 3190, 1749, 4026, 3300, 1287, 1562, 121, 149, 8, 1], [2, 11, 64, 574, 330, 3245, 1584, 4356, 2838, 1749, 1232, 286, 94, 19, 0], [2, 11, 65, 562, 396, 3025, 2079, 3564, 3762, 957, 1727, 66, 160, 7, 1], [2, 11, 65, 563, 385, 3080, 1914, 3894, 3300, 1419, 1397, 231, 105, 18, 0], [2, 11, 66, 551, 451, 2860, 2409, 3102, 4224, 627, 1892, 11, 171, 6, 1], [2, 11, 66, 552, 440, 2915, 2244, 3432, 3762, 1089, 1562, 176, 116, 17, 0], [2, 11, 67, 541, 495, 2750, 2574, 2970, 4224, 759, 1727, 121, 127, 16, 0], [2, 11, 68, 530, 550, 2585, 2904, 2508, 4686, 429, 1892, 66, 138, 15, 0], [2, 11, 69, 519, 605, 2420, 3234, 2046, 5148, 99, 2057, 11, 149, 14, 0], [2, 12, 50, 660, 22, 3960, 462, 5544, 2046, 1980, 1342, 132, 170, 0, 2], [2, 12, 50, 661, 11, 4015, 297, 5874, 1584, 2442, 1012, 297, 115, 11, 1], [2, 12, 50, 662, 0, 4070, 132, 6204, 1122, 2904, 682, 462, 60, 22, 0], [2, 12, 51, 650, 66, 3850, 627, 5412, 2046, 2112, 1177, 242, 126, 10, 1], [2, 12, 51, 651, 55, 3905, 462, 5742, 1584, 2574, 847, 407, 71, 21, 0], [2, 12, 52, 639, 121, 3685, 957, 4950, 2508, 1782, 1342, 187, 137, 9, 1], [2, 12, 52, 640, 110, 3740, 792, 5280, 2046, 2244, 1012, 352, 82, 20, 0], [2, 12, 53, 628, 176, 3520, 1287, 4488, 2970, 1452, 1507, 132, 148, 8, 1], [2, 12, 53, 629, 165, 3575, 1122, 4818, 2508, 1914, 1177, 297, 93, 19, 0], [2, 12, 54, 617, 231, 3355, 1617, 4026, 3432, 1122, 1672, 77, 159, 7, 1], [2, 12, 54, 618, 220, 3410, 1452, 4356, 2970, 1584, 1342, 242, 104, 18, 0], [2, 12, 55, 606, 286, 3190, 1947, 3564, 3894, 792, 1837, 22, 170, 6, 1], [2, 12, 55, 607, 275, 3245, 1782, 3894, 3432, 1254, 1507, 187, 115, 17, 0], [2, 12, 56, 596, 330, 3080, 2112, 3432, 3894, 924, 1672, 132, 126, 16, 0], [2, 12, 57, 585, 385, 2915, 2442, 2970, 4356, 594, 1837, 77, 137, 15, 0], [2, 12, 58, 574, 440, 2750, 2772, 2508, 4818, 264, 2002, 22, 148, 14, 0], [2, 13, 42, 683, 11, 3850, 825, 4950, 2640, 1617, 1452, 143, 147, 8, 1], [2, 13, 42, 684, 0, 3905, 660, 5280, 2178, 2079, 1122, 308, 92, 19, 0], [2, 13, 43, 672, 66, 3685, 1155, 4488, 3102, 1287, 1617, 88, 158, 7, 1], [2, 13, 43, 673, 55, 3740, 990, 4818, 2640, 1749, 1287, 253, 103, 18, 0], [2, 13, 44, 661, 121, 3520, 1485, 4026, 3564, 957, 1782, 33, 169, 6, 1], [2, 13, 44, 662, 110, 3575, 1320, 4356, 3102, 1419, 1452, 198, 114, 17, 0], [2, 13, 45, 651, 165, 3410, 1650, 3894, 3564, 1089, 1617, 143, 125, 16, 0], [2, 13, 46, 640, 220, 3245, 1980, 3432, 4026, 759, 1782, 88, 136, 15, 0], [2, 13, 47, 629, 275, 3080, 2310, 2970, 4488, 429, 1947, 33, 147, 14, 0], [2, 14, 34, 706, 0, 3740, 1188, 4356, 3234, 1254, 1562, 154, 124, 16, 0], [2, 14, 35, 695, 55, 3575, 1518, 3894, 3696, 924, 1727, 99, 135, 15, 0], [2, 14, 36, 684, 110, 3410, 1848, 3432, 4158, 594, 1892, 44, 146, 14, 0], [2, 15, 26, 728, 0, 3575, 1716, 3432, 4290, 429, 2002, 0, 156, 13, 0], [3, 0, 112, 484, 297, 3828, 66, 6600, 693, 3080, 748, 340, 127, 4, 2], [3, 0, 113, 473, 352, 3663, 396, 6138, 1155, 2750, 913, 285, 138, 3, 2], [3, 0, 113, 474, 341, 3718, 231, 6468, 693, 3212, 583, 450, 83, 14, 1], [3, 0, 113, 475, 330, 3773, 66, 6798, 231, 3674, 253, 615, 28, 25, 0], [3, 0, 114, 462, 407, 3498, 726, 5676, 1617, 2420, 1078, 230, 149, 2, 2], [3, 0, 114, 463, 396, 3553, 561, 6006, 1155, 2882, 748, 395, 94, 13, 1], [3, 0, 114, 464, 385, 3608, 396, 6336, 693, 3344, 418, 560, 39, 24, 0], [3, 0, 115, 451, 462, 3333, 1056, 5214, 2079, 2090, 1243, 175, 160, 1, 2], [3, 0, 115, 452, 451, 3388, 891, 5544, 1617, 2552, 913, 340, 105, 12, 1], [3, 0, 115, 453, 440, 3443, 726, 5874, 1155, 3014, 583, 505, 50, 23, 0], [3, 0, 116, 440, 517, 3168, 1386, 4752, 2541, 1760, 1408, 120, 171, 0, 2], [3, 0, 116, 441, 506, 3223, 1221, 5082, 2079, 2222, 1078, 285, 116, 11, 1], [3, 0, 116, 442, 495, 3278, 1056, 5412, 1617, 2684, 748, 450, 61, 22, 0], [3, 0, 117, 430, 561, 3058, 1551, 4620, 2541, 1892, 1243, 230, 127, 10, 1], [3, 0, 117, 431, 550, 3113, 1386, 4950, 2079, 2354, 913, 395, 72, 21, 0], [3, 0, 118, 419, 616, 2893, 1881, 4158, 3003, 1562, 1408, 175, 138, 9, 1], [3, 0, 118, 420, 605, 2948, 1716, 4488, 2541, 2024, 1078, 340, 83, 20, 0], [3, 0, 119, 408, 671, 2728, 2211, 3696, 3465, 1232, 1573, 120, 149, 8, 1], [3, 0, 119, 409, 660, 2783, 2046, 4026, 3003, 1694, 1243, 285, 94, 19, 0], [3, 0, 120, 397, 726, 2563, 2541, 3234, 3927, 902, 1738, 65, 160, 7, 1], [3, 0, 120, 398, 715, 2618, 2376, 3564, 3465, 1364, 1408, 230, 105, 18, 0], [3, 0, 121, 386, 781, 2398, 2871, 2772, 4389, 572, 1903, 10, 171, 6, 1], [3, 0, 121, 387, 770, 2453, 2706, 3102, 3927, 1034, 1573, 175, 116, 17, 0], [3, 0, 122, 376, 825, 2288, 3036, 2640, 4389, 704, 1738, 120, 127, 16, 0], [3, 0, 123, 365, 880, 2123, 3366, 2178, 4851, 374, 1903, 65, 138, 15, 0], [3, 0, 124, 354, 935, 1958, 3696, 1716, 5313, 44, 2068, 10, 149, 14, 0], [3, 1, 103, 517, 242, 3828, 264, 6138, 1287, 2585, 1023, 241, 148, 2, 2], [3, 1, 103, 518, 231, 3883, 99, 6468, 825, 3047, 693, 406, 93, 13, 1], [3, 1, 104, 506, 297, 3663, 594, 5676, 1749, 2255, 1188, 186, 159, 1, 2], [3, 1, 104, 507, 286, 3718, 429, 6006, 1287, 2717, 858, 351, 104, 12, 1], [3, 1, 104, 508, 275, 3773, 264, 6336, 825, 3179, 528, 516, 49, 23, 0], [3, 1, 105, 495, 352, 3498, 924, 5214, 2211, 1925, 1353, 131, 170, 0, 2], [3, 1, 105, 496, 341, 3553, 759, 5544, 1749, 2387, 1023, 296, 115, 11, 1], [3, 1, 105, 497, 330, 3608, 594, 5874, 1287, 2849, 693, 461, 60, 22, 0], [3, 1, 106, 485, 396, 3388, 1089, 5082, 2211, 2057, 1188, 241, 126, 10, 1], [3, 1, 106, 486, 385, 3443, 924, 5412, 1749, 2519, 858, 406, 71, 21, 0], [3, 1, 107, 474, 451, 3223, 1419, 4620, 2673, 1727, 1353, 186, 137, 9, 1], [3, 1, 107, 475, 440, 3278, 1254, 4950, 2211, 2189, 1023, 351, 82, 20, 0], [3, 1, 108, 463, 506, 3058, 1749, 4158, 3135, 1397, 1518, 131, 148, 8, 1], [3, 1, 108, 464, 495, 3113, 1584, 4488, 2673, 1859, 1188, 296, 93, 19, 0], [3, 1, 109, 452, 561, 2893, 2079, 3696, 3597, 1067, 1683, 76, 159, 7, 1], [3, 1, 109, 453, 550, 2948, 1914, 4026, 3135, 1529, 1353, 241, 104, 18, 0], [3, 1, 110, 441, 616, 2728, 2409, 3234, 4059, 737, 1848, 21, 170, 6, 1], [3, 1, 110, 442, 605, 2783, 2244, 3564, 3597, 1199, 1518, 186, 115, 17, 0], [3, 1, 111, 431, 660, 2618, 2574, 3102, 4059, 869, 1683, 131, 126, 16, 0], [3, 1, 112, 420, 715, 2453, 2904, 2640, 4521, 539, 1848, 76, 137, 15, 0], [3, 1, 113, 409, 770, 2288, 3234, 2178, 4983, 209, 2013, 21, 148, 14, 0], [3, 2, 93, 561, 132, 3993, 132, 6138, 1419, 2420, 1133, 197, 158, 1, 2], [3, 2, 94, 550, 187, 3828, 462, 5676, 1881, 2090, 1298, 142, 169, 0, 2], [3, 2, 94, 551, 176, 3883, 297, 6006, 1419, 2552, 968, 307, 114, 11, 1], [3, 2, 94, 552, 165, 3938, 132, 6336, 957, 3014, 638, 472, 59, 22, 0], [3, 2, 95, 540, 231, 3718, 627, 5544, 1881, 2222, 1133, 252, 125, 10, 1], [3, 2, 95, 541, 220, 3773, 462, 5874, 1419, 2684, 803, 417, 70, 21, 0], [3, 2, 96, 529, 286, 3553, 957, 5082, 2343, 1892, 1298, 197, 136, 9, 1], [3, 2, 96, 530, 275, 3608, 792, 5412, 1881, 2354, 968, 362, 81, 20, 0], [3, 2, 97, 518, 341, 3388, 1287, 4620, 2805, 1562, 1463, 142, 147, 8, 1], [3, 2, 97, 519, 330, 3443, 1122, 4950, 2343, 2024, 1133, 307, 92, 19, 0], [3, 2, 98, 507, 396, 3223, 1617, 4158, 3267, 1232, 1628, 87, 158, 7, 1], [3, 2, 98, 508, 385, 3278, 1452, 4488, 2805, 1694, 1298, 252, 103, 18, 0], [3, 2, 99, 496, 451, 3058, 1947, 3696, 3729, 902, 1793, 32, 169, 6, 1], [3, 2, 99, 497, 440, 3113, 1782, 4026, 3267, 1364, 1463, 197, 114, 17, 0], [3, 2, 100, 486, 495, 2948, 2112, 3564, 3729, 1034, 1628, 142, 125, 16, 0], [3, 2, 101, 475, 550, 2783, 2442, 3102, 4191, 704, 1793, 87, 136, 15, 0], [3, 2, 102, 464, 605, 2618, 2772, 2640, 4653, 374, 1958, 32, 147, 14, 0], [3, 3, 83, 605, 22, 4158, 0, 6138, 1551, 2255, 1243, 153, 168, 0, 2], [3, 3, 84, 595, 66, 4048, 165, 6006, 1551, 2387, 1078, 263, 124, 10, 1], [3, 3, 84, 596, 55, 4103, 0, 6336, 1089, 2849, 748, 428, 69, 21, 0], [3, 3, 85, 584, 121, 3883, 495, 5544, 2013, 2057, 1243, 208, 135, 9, 1], [3, 3, 85, 585, 110, 3938, 330, 5874, 1551, 2519, 913, 373, 80, 20, 0], [3, 3, 86, 573, 176, 3718, 825, 5082, 2475, 1727, 1408, 153, 146, 8, 1], [3, 3, 86, 574, 165, 3773, 660, 5412, 2013, 2189, 1078, 318, 91, 19, 0], [3, 3, 87, 562, 231, 3553, 1155, 4620, 2937, 1397, 1573, 98, 157, 7, 1], [3, 3, 87, 563, 220, 3608, 990, 4950, 2475, 1859, 1243, 263, 102, 18, 0], [3, 3, 88, 551, 286, 3388, 1485, 4158, 3399, 1067, 1738, 43, 168, 6, 1], [3, 3, 88, 552, 275, 3443, 1320, 4488, 2937, 1529, 1408, 208, 113, 17, 0], [3, 3, 89, 541, 330, 3278, 1650, 4026, 3399, 1199, 1573, 153, 124, 16, 0], [3, 3, 90, 530, 385, 3113, 1980, 3564, 3861, 869, 1738, 98, 135, 15, 0], [3, 3, 91, 519, 440, 2948, 2310, 3102, 4323, 539, 1903, 43, 146, 14, 0], [3, 4, 75, 628, 11, 4048, 363, 5544, 2145, 1892, 1353, 164, 145, 8, 1], [3, 4, 75, 629, 0, 4103, 198, 5874, 1683, 2354, 1023, 329, 90, 19, 0], [3, 4, 76, 617, 66, 3883, 693, 5082, 2607, 1562, 1518, 109, 156, 7, 1], [3, 4, 76, 618, 55, 3938, 528, 5412, 2145, 2024, 1188, 274, 101, 18, 0], [3, 4, 77, 606, 121, 3718, 1023, 4620, 3069, 1232, 1683, 54, 167, 6, 1], [3, 4, 77, 607, 110, 3773, 858, 4950, 2607, 1694, 1353, 219, 112, 17, 0], [3, 4, 78, 596, 165, 3608, 1188, 4488, 3069, 1364, 1518, 164, 123, 16, 0], [3, 4, 79, 585, 220, 3443, 1518, 4026, 3531, 1034, 1683, 109, 134, 15, 0], [3, 4, 80, 574, 275, 3278, 1848, 3564, 3993, 704, 1848, 54, 145, 14, 0], [3, 5, 67, 650, 11, 3883, 891, 4620, 3201, 1067, 1793, 10, 177, 5, 1], [3, 5, 67, 651, 0, 3938, 726, 4950, 2739, 1529, 1463, 175, 122, 16, 0], [3, 5, 68, 640, 55, 3773, 1056, 4488, 3201, 1199, 1628, 120, 133, 15, 0], [3, 5, 69, 629, 110, 3608, 1386, 4026, 3663, 869, 1793, 65, 144, 14, 0], [3, 5, 70, 618, 165, 3443, 1716, 3564, 4125, 539, 1958, 10, 155, 13, 0], [3, 6, 59, 673, 0, 3773, 1254, 4026, 3795, 704, 1903, 21, 154, 13, 0]} (15, 16384, 10) has 5078 possible DDs: {[0, 3, 109, 32, 890, 1969, 539, 6402, 396, 3685, 1683, 188, 474, 7, 5, 2], [0, 3, 110, 21, 945, 1804, 869, 5940, 858, 3355, 1848, 133, 485, 6, 5, 2], [0, 3, 110, 22, 934, 1859, 704, 6270, 396, 3817, 1518, 298, 430, 17, 4, 2], [0, 3, 111, 10, 1000, 1639, 1199, 5478, 1320, 3025, 2013, 78, 496, 5, 5, 2], [0, 3, 111, 11, 989, 1694, 1034, 5808, 858, 3487, 1683, 243, 441, 16, 4, 2], [0, 3, 111, 12, 978, 1749, 869, 6138, 396, 3949, 1353, 408, 386, 27, 3, 2], [0, 3, 112, 0, 1044, 1529, 1364, 5346, 1320, 3157, 1848, 188, 452, 15, 4, 2], [0, 3, 112, 1, 1033, 1584, 1199, 5676, 858, 3619, 1518, 353, 397, 26, 3, 2], [0, 3, 112, 2, 1022, 1639, 1034, 6006, 396, 4081, 1188, 518, 342, 37, 2, 2], [0, 4, 98, 87, 725, 2299, 77, 6864, 66, 3850, 1628, 199, 473, 7, 5, 2], [0, 4, 99, 76, 780, 2134, 407, 6402, 528, 3520, 1793, 144, 484, 6, 5, 2], [0, 4, 99, 77, 769, 2189, 242, 6732, 66, 3982, 1463, 309, 429, 17, 4, 2], [0, 4, 100, 65, 835, 1969, 737, 5940, 990, 3190, 1958, 89, 495, 5, 5, 2], [0, 4, 100, 66, 824, 2024, 572, 6270, 528, 3652, 1628, 254, 440, 16, 4, 2], [0, 4, 100, 67, 813, 2079, 407, 6600, 66, 4114, 1298, 419, 385, 27, 3, 2], [0, 4, 101, 54, 890, 1804, 1067, 5478, 1452, 2860, 2123, 34, 506, 4, 5, 2], [0, 4, 101, 55, 879, 1859, 902, 5808, 990, 3322, 1793, 199, 451, 15, 4, 2], [0, 4, 101, 56, 868, 1914, 737, 6138, 528, 3784, 1463, 364, 396, 26, 3, 2], [0, 4, 101, 57, 857, 1969, 572, 6468, 66, 4246, 1133, 529, 341, 37, 2, 2], [0, 4, 102, 44, 934, 1694, 1232, 5346, 1452, 2992, 1958, 144, 462, 14, 4, 2], [0, 4, 102, 45, 923, 1749, 1067, 5676, 990, 3454, 1628, 309, 407, 25, 3, 2], [0, 4, 102, 46, 912, 1804, 902, 6006, 528, 3916, 1298, 474, 352, 36, 2, 2], [0, 4, 102, 47, 901, 1859, 737, 6336, 66, 4378, 968, 639, 297, 47, 1, 2], [0, 4, 103, 33, 989, 1529, 1562, 4884, 1914, 2662, 2123, 89, 473, 13, 4, 2], [0, 4, 103, 34, 978, 1584, 1397, 5214, 1452, 3124, 1793, 254, 418, 24, 3, 2], [0, 4, 103, 35, 967, 1639, 1232, 5544, 990, 3586, 1463, 419, 363, 35, 2, 2], [0, 4, 103, 36, 956, 1694, 1067, 5874, 528, 4048, 1133, 584, 308, 46, 1, 2], [0, 4, 103, 37, 945, 1749, 902, 6204, 66, 4510, 803, 749, 253, 57, 0, 2], [0, 4, 103, 37, 946, 1738, 957, 6039, 396, 4048, 1265, 419, 418, 2, 11, 1], [0, 4, 104, 22, 1044, 1364, 1892, 4422, 2376, 2332, 2288, 34, 484, 12, 4, 2], [0, 4, 104, 23, 1033, 1419, 1727, 4752, 1914, 2794, 1958, 199, 429, 23, 3, 2], [0, 4, 104, 24, 1022, 1474, 1562, 5082, 1452, 3256, 1628, 364, 374, 34, 2, 2], [0, 4, 104, 25, 1011, 1529, 1397, 5412, 990, 3718, 1298, 529, 319, 45, 1, 2], [0, 4, 104, 26, 1000, 1584, 1232, 5742, 528, 4180, 968, 694, 264, 56, 0, 2], [0, 4, 104, 26, 1001, 1573, 1287, 5577, 858, 3718, 1430, 364, 429, 1, 11, 1], [0, 4, 104, 27, 990, 1628, 1122, 5907, 396, 4180, 1100, 529, 374, 12, 10, 1], [0, 4, 105, 12, 1088, 1254, 2057, 4290, 2376, 2464, 2123, 144, 440, 22, 3, 2], [0, 4, 105, 13, 1077, 1309, 1892, 4620, 1914, 2926, 1793, 309, 385, 33, 2, 2], [0, 4, 105, 14, 1066, 1364, 1727, 4950, 1452, 3388, 1463, 474, 330, 44, 1, 2], [0, 4, 105, 15, 1055, 1419, 1562, 5280, 990, 3850, 1133, 639, 275, 55, 0, 2], [0, 4, 105, 15, 1056, 1408, 1617, 5115, 1320, 3388, 1595, 309, 440, 0, 11, 1], [0, 4, 105, 16, 1045, 1463, 1452, 5445, 858, 3850, 1265, 474, 385, 11, 10, 1], [0, 4, 105, 17, 1034, 1518, 1287, 5775, 396, 4312, 935, 639, 330, 22, 9, 1], [0, 4, 106, 1, 1143, 1089, 2387, 3828, 2838, 2134, 2288, 89, 451, 21, 3, 2], [0, 4, 106, 2, 1132, 1144, 2222, 4158, 2376, 2596, 1958, 254, 396, 32, 2, 2], [0, 4, 106, 3, 1121, 1199, 2057, 4488, 1914, 3058, 1628, 419, 341, 43, 1, 2], [0, 4, 106, 4, 1110, 1254, 1892, 4818, 1452, 3520, 1298, 584, 286, 54, 0, 2], [0, 4, 106, 5, 1100, 1298, 1782, 4983, 1320, 3520, 1430, 419, 396, 10, 10, 1], [0, 4, 106, 6, 1089, 1353, 1617, 5313, 858, 3982, 1100, 584, 341, 21, 9, 1], [0, 4, 106, 7, 1078, 1408, 1452, 5643, 396, 4444, 770, 749, 286, 32, 8, 1], [0, 5, 89, 120, 670, 2299, 275, 6402, 660, 3355, 1903, 100, 494, 5, 5, 2], [0, 5, 89, 121, 659, 2354, 110, 6732, 198, 3817, 1573, 265, 439, 16, 4, 2], [0, 5, 90, 109, 725, 2134, 605, 5940, 1122, 3025, 2068, 45, 505, 4, 5, 2], [0, 5, 90, 110, 714, 2189, 440, 6270, 660, 3487, 1738, 210, 450, 15, 4, 2], [0, 5, 90, 111, 703, 2244, 275, 6600, 198, 3949, 1408, 375, 395, 26, 3, 2], [0, 5, 91, 99, 769, 2024, 770, 5808, 1122, 3157, 1903, 155, 461, 14, 4, 2], [0, 5, 91, 100, 758, 2079, 605, 6138, 660, 3619, 1573, 320, 406, 25, 3, 2], [0, 5, 91, 101, 747, 2134, 440, 6468, 198, 4081, 1243, 485, 351, 36, 2, 2], [0, 5, 92, 88, 824, 1859, 1100, 5346, 1584, 2827, 2068, 100, 472, 13, 4, 2], [0, 5, 92, 89, 813, 1914, 935, 5676, 1122, 3289, 1738, 265, 417, 24, 3, 2], [0, 5, 92, 90, 802, 1969, 770, 6006, 660, 3751, 1408, 430, 362, 35, 2, 2], [0, 5, 92, 91, 791, 2024, 605, 6336, 198, 4213, 1078, 595, 307, 46, 1, 2], [0, 5, 92, 92, 781, 2068, 495, 6501, 66, 4213, 1210, 430, 417, 2, 11, 1], [0, 5, 93, 77, 879, 1694, 1430, 4884, 2046, 2497, 2233, 45, 483, 12, 4, 2], [0, 5, 93, 78, 868, 1749, 1265, 5214, 1584, 2959, 1903, 210, 428, 23, 3, 2], [0, 5, 93, 79, 857, 1804, 1100, 5544, 1122, 3421, 1573, 375, 373, 34, 2, 2], [0, 5, 93, 80, 846, 1859, 935, 5874, 660, 3883, 1243, 540, 318, 45, 1, 2], [0, 5, 93, 81, 835, 1914, 770, 6204, 198, 4345, 913, 705, 263, 56, 0, 2], [0, 5, 93, 81, 836, 1903, 825, 6039, 528, 3883, 1375, 375, 428, 1, 11, 1], [0, 5, 93, 82, 825, 1958, 660, 6369, 66, 4345, 1045, 540, 373, 12, 10, 1], [0, 5, 94, 67, 923, 1584, 1595, 4752, 2046, 2629, 2068, 155, 439, 22, 3, 2], [0, 5, 94, 68, 912, 1639, 1430, 5082, 1584, 3091, 1738, 320, 384, 33, 2, 2], [0, 5, 94, 69, 901, 1694, 1265, 5412, 1122, 3553, 1408, 485, 329, 44, 1, 2], [0, 5, 94, 70, 890, 1749, 1100, 5742, 660, 4015, 1078, 650, 274, 55, 0, 2], [0, 5, 94, 70, 891, 1738, 1155, 5577, 990, 3553, 1540, 320, 439, 0, 11, 1], [0, 5, 94, 71, 880, 1793, 990, 5907, 528, 4015, 1210, 485, 384, 11, 10, 1], [0, 5, 94, 72, 869, 1848, 825, 6237, 66, 4477, 880, 650, 329, 22, 9, 1], [0, 5, 95, 56, 978, 1419, 1925, 4290, 2508, 2299, 2233, 100, 450, 21, 3, 2], [0, 5, 95, 57, 967, 1474, 1760, 4620, 2046, 2761, 1903, 265, 395, 32, 2, 2], [0, 5, 95, 58, 956, 1529, 1595, 4950, 1584, 3223, 1573, 430, 340, 43, 1, 2], [0, 5, 95, 59, 945, 1584, 1430, 5280, 1122, 3685, 1243, 595, 285, 54, 0, 2], [0, 5, 95, 60, 935, 1628, 1320, 5445, 990, 3685, 1375, 430, 395, 10, 10, 1], [0, 5, 95, 61, 924, 1683, 1155, 5775, 528, 4147, 1045, 595, 340, 21, 9, 1], [0, 5, 95, 62, 913, 1738, 990, 6105, 66, 4609, 715, 760, 285, 32, 8, 1], [0, 5, 96, 45, 1033, 1254, 2255, 3828, 2970, 1969, 2398, 45, 461, 20, 3, 2], [0, 5, 96, 46, 1022, 1309, 2090, 4158, 2508, 2431, 2068, 210, 406, 31, 2, 2], [0, 5, 96, 47, 1011, 1364, 1925, 4488, 2046, 2893, 1738, 375, 351, 42, 1, 2], [0, 5, 96, 48, 1000, 1419, 1760, 4818, 1584, 3355, 1408, 540, 296, 53, 0, 2], [0, 5, 96, 49, 990, 1463, 1650, 4983, 1452, 3355, 1540, 375, 406, 9, 10, 1], [0, 5, 96, 50, 979, 1518, 1485, 5313, 990, 3817, 1210, 540, 351, 20, 9, 1], [0, 5, 96, 51, 968, 1573, 1320, 5643, 528, 4279, 880, 705, 296, 31, 8, 1], [0, 5, 96, 52, 957, 1628, 1155, 5973, 66, 4741, 550, 870, 241, 42, 7, 1], [0, 5, 97, 35, 1077, 1144, 2420, 3696, 2970, 2101, 2233, 155, 417, 30, 2, 2], [0, 5, 97, 36, 1066, 1199, 2255, 4026, 2508, 2563, 1903, 320, 362, 41, 1, 2], [0, 5, 97, 37, 1055, 1254, 2090, 4356, 2046, 3025, 1573, 485, 307, 52, 0, 2], [0, 5, 97, 38, 1045, 1298, 1980, 4521, 1914, 3025, 1705, 320, 417, 8, 10, 1], [0, 5, 97, 39, 1034, 1353, 1815, 4851, 1452, 3487, 1375, 485, 362, 19, 9, 1], [0, 5, 97, 40, 1023, 1408, 1650, 5181, 990, 3949, 1045, 650, 307, 30, 8, 1], [0, 5, 97, 41, 1012, 1463, 1485, 5511, 528, 4411, 715, 815, 252, 41, 7, 1], [0, 5, 97, 42, 1001, 1518, 1320, 5841, 66, 4873, 385, 980, 197, 52, 6, 1], [0, 5, 98, 24, 1132, 979, 2750, 3234, 3432, 1771, 2398, 100, 428, 29, 2, 2], [0, 5, 98, 25, 1121, 1034, 2585, 3564, 2970, 2233, 2068, 265, 373, 40, 1, 2], [0, 5, 98, 26, 1110, 1089, 2420, 3894, 2508, 2695, 1738, 430, 318, 51, 0, 2], [0, 5, 98, 27, 1100, 1133, 2310, 4059, 2376, 2695, 1870, 265, 428, 7, 10, 1], [0, 5, 98, 28, 1089, 1188, 2145, 4389, 1914, 3157, 1540, 430, 373, 18, 9, 1], [0, 5, 98, 29, 1078, 1243, 1980, 4719, 1452, 3619, 1210, 595, 318, 29, 8, 1], [0, 5, 98, 30, 1067, 1298, 1815, 5049, 990, 4081, 880, 760, 263, 40, 7, 1], [0, 5, 98, 31, 1056, 1353, 1650, 5379, 528, 4543, 550, 925, 208, 51, 6, 1], [0, 5, 98, 32, 1045, 1408, 1485, 5709, 66, 5005, 220, 1090, 153, 62, 5, 1], [0, 5, 98, 32, 1046, 1397, 1540, 5544, 396, 4543, 682, 760, 318, 7, 16, 0], [0, 5, 99, 13, 1187, 814, 3080, 2772, 3894, 1441, 2563, 45, 439, 28, 2, 2], [0, 5, 99, 14, 1176, 869, 2915, 3102, 3432, 1903, 2233, 210, 384, 39, 1, 2], [0, 5, 99, 15, 1165, 924, 2750, 3432, 2970, 2365, 1903, 375, 329, 50, 0, 2], [0, 5, 99, 16, 1155, 968, 2640, 3597, 2838, 2365, 2035, 210, 439, 6, 10, 1], [0, 5, 99, 17, 1144, 1023, 2475, 3927, 2376, 2827, 1705, 375, 384, 17, 9, 1], [0, 5, 99, 18, 1133, 1078, 2310, 4257, 1914, 3289, 1375, 540, 329, 28, 8, 1], [0, 5, 99, 19, 1122, 1133, 2145, 4587, 1452, 3751, 1045, 705, 274, 39, 7, 1], [0, 5, 99, 20, 1111, 1188, 1980, 4917, 990, 4213, 715, 870, 219, 50, 6, 1], [0, 5, 99, 21, 1100, 1243, 1815, 5247, 528, 4675, 385, 1035, 164, 61, 5, 1], [0, 5, 99, 21, 1101, 1232, 1870, 5082, 858, 4213, 847, 705, 329, 6, 16, 0], [0, 5, 99, 22, 1089, 1298, 1650, 5577, 66, 5137, 55, 1200, 109, 72, 4, 1], [0, 5, 99, 22, 1090, 1287, 1705, 5412, 396, 4675, 517, 870, 274, 17, 15, 0], [0, 5, 100, 3, 1231, 704, 3245, 2640, 3894, 1573, 2398, 155, 395, 38, 1, 2], [0, 5, 100, 4, 1220, 759, 3080, 2970, 3432, 2035, 2068, 320, 340, 49, 0, 2], [0, 5, 100, 5, 1210, 803, 2970, 3135, 3300, 2035, 2200, 155, 450, 5, 10, 1], [0, 5, 100, 6, 1199, 858, 2805, 3465, 2838, 2497, 1870, 320, 395, 16, 9, 1], [0, 5, 100, 7, 1188, 913, 2640, 3795, 2376, 2959, 1540, 485, 340, 27, 8, 1], [0, 5, 100, 8, 1177, 968, 2475, 4125, 1914, 3421, 1210, 650, 285, 38, 7, 1], [0, 5, 100, 9, 1166, 1023, 2310, 4455, 1452, 3883, 880, 815, 230, 49, 6, 1], [0, 5, 100, 10, 1155, 1078, 2145, 4785, 990, 4345, 550, 980, 175, 60, 5, 1], [0, 5, 100, 10, 1156, 1067, 2200, 4620, 1320, 3883, 1012, 650, 340, 5, 16, 0], [0, 5, 100, 11, 1144, 1133, 1980, 5115, 528, 4807, 220, 1145, 120, 71, 4, 1], [0, 5, 100, 11, 1145, 1122, 2035, 4950, 858, 4345, 682, 815, 285, 16, 15, 0], [0, 5, 100, 12, 1134, 1177, 1870, 5280, 396, 4807, 352, 980, 230, 27, 14, 0], [0, 5, 101, 0, 1199, 968, 2310, 4653, 990, 4477, 385, 1090, 131, 70, 4, 1], [0, 5, 101, 0, 1200, 957, 2365, 4488, 1320, 4015, 847, 760, 296, 15, 15, 0], [0, 5, 101, 1, 1188, 1023, 2145, 4983, 528, 4939, 55, 1255, 76, 81, 3, 1], [0, 5, 101, 1, 1189, 1012, 2200, 4818, 858, 4477, 517, 925, 241, 26, 14, 0], [0, 5, 101, 2, 1178, 1067, 2035, 5148, 396, 4939, 187, 1090, 186, 37, 13, 0], [0, 6, 79, 164, 560, 2464, 143, 6402, 792, 3190, 2013, 56, 504, 4, 5, 2], [0, 6, 80, 153, 615, 2299, 473, 5940, 1254, 2860, 2178, 1, 515, 3, 5, 2], [0, 6, 80, 154, 604, 2354, 308, 6270, 792, 3322, 1848, 166, 460, 14, 4, 2], [0, 6, 80, 155, 593, 2409, 143, 6600, 330, 3784, 1518, 331, 405, 25, 3, 2], [0, 6, 81, 143, 659, 2189, 638, 5808, 1254, 2992, 2013, 111, 471, 13, 4, 2], [0, 6, 81, 144, 648, 2244, 473, 6138, 792, 3454, 1683, 276, 416, 24, 3, 2], [0, 6, 81, 145, 637, 2299, 308, 6468, 330, 3916, 1353, 441, 361, 35, 2, 2], [0, 6, 82, 132, 714, 2024, 968, 5346, 1716, 2662, 2178, 56, 482, 12, 4, 2], [0, 6, 82, 133, 703, 2079, 803, 5676, 1254, 3124, 1848, 221, 427, 23, 3, 2], [0, 6, 82, 134, 692, 2134, 638, 6006, 792, 3586, 1518, 386, 372, 34, 2, 2], [0, 6, 82, 135, 681, 2189, 473, 6336, 330, 4048, 1188, 551, 317, 45, 1, 2], [0, 6, 82, 136, 671, 2233, 363, 6501, 198, 4048, 1320, 386, 427, 1, 11, 1], [0, 6, 83, 121, 769, 1859, 1298, 4884, 2178, 2332, 2343, 1, 493, 11, 4, 2], [0, 6, 83, 122, 758, 1914, 1133, 5214, 1716, 2794, 2013, 166, 438, 22, 3, 2], [0, 6, 83, 123, 747, 1969, 968, 5544, 1254, 3256, 1683, 331, 383, 33, 2, 2], [0, 6, 83, 124, 736, 2024, 803, 5874, 792, 3718, 1353, 496, 328, 44, 1, 2], [0, 6, 83, 125, 725, 2079, 638, 6204, 330, 4180, 1023, 661, 273, 55, 0, 2], [0, 6, 83, 125, 726, 2068, 693, 6039, 660, 3718, 1485, 331, 438, 0, 11, 1], [0, 6, 83, 126, 715, 2123, 528, 6369, 198, 4180, 1155, 496, 383, 11, 10, 1], [0, 6, 84, 111, 813, 1749, 1463, 4752, 2178, 2464, 2178, 111, 449, 21, 3, 2], [0, 6, 84, 112, 802, 1804, 1298, 5082, 1716, 2926, 1848, 276, 394, 32, 2, 2], [0, 6, 84, 113, 791, 1859, 1133, 5412, 1254, 3388, 1518, 441, 339, 43, 1, 2], [0, 6, 84, 114, 780, 1914, 968, 5742, 792, 3850, 1188, 606, 284, 54, 0, 2], [0, 6, 84, 115, 770, 1958, 858, 5907, 660, 3850, 1320, 441, 394, 10, 10, 1], [0, 6, 84, 116, 759, 2013, 693, 6237, 198, 4312, 990, 606, 339, 21, 9, 1], [0, 6, 85, 100, 868, 1584, 1793, 4290, 2640, 2134, 2343, 56, 460, 20, 3, 2], [0, 6, 85, 101, 857, 1639, 1628, 4620, 2178, 2596, 2013, 221, 405, 31, 2, 2], [0, 6, 85, 102, 846, 1694, 1463, 4950, 1716, 3058, 1683, 386, 350, 42, 1, 2], [0, 6, 85, 103, 835, 1749, 1298, 5280, 1254, 3520, 1353, 551, 295, 53, 0, 2], [0, 6, 85, 104, 825, 1793, 1188, 5445, 1122, 3520, 1485, 386, 405, 9, 10, 1], [0, 6, 85, 105, 814, 1848, 1023, 5775, 660, 3982, 1155, 551, 350, 20, 9, 1], [0, 6, 85, 106, 803, 1903, 858, 6105, 198, 4444, 825, 716, 295, 31, 8, 1], [0, 6, 86, 89, 923, 1419, 2123, 3828, 3102, 1804, 2508, 1, 471, 19, 3, 2], [0, 6, 86, 90, 912, 1474, 1958, 4158, 2640, 2266, 2178, 166, 416, 30, 2, 2], [0, 6, 86, 91, 901, 1529, 1793, 4488, 2178, 2728, 1848, 331, 361, 41, 1, 2], [0, 6, 86, 92, 890, 1584, 1628, 4818, 1716, 3190, 1518, 496, 306, 52, 0, 2], [0, 6, 86, 93, 880, 1628, 1518, 4983, 1584, 3190, 1650, 331, 416, 8, 10, 1], [0, 6, 86, 94, 869, 1683, 1353, 5313, 1122, 3652, 1320, 496, 361, 19, 9, 1], [0, 6, 86, 95, 858, 1738, 1188, 5643, 660, 4114, 990, 661, 306, 30, 8, 1], [0, 6, 86, 96, 847, 1793, 1023, 5973, 198, 4576, 660, 826, 251, 41, 7, 1], [0, 6, 87, 79, 967, 1309, 2288, 3696, 3102, 1936, 2343, 111, 427, 29, 2, 2], [0, 6, 87, 80, 956, 1364, 2123, 4026, 2640, 2398, 2013, 276, 372, 40, 1, 2], [0, 6, 87, 81, 945, 1419, 1958, 4356, 2178, 2860, 1683, 441, 317, 51, 0, 2], [0, 6, 87, 82, 935, 1463, 1848, 4521, 2046, 2860, 1815, 276, 427, 7, 10, 1], [0, 6, 87, 83, 924, 1518, 1683, 4851, 1584, 3322, 1485, 441, 372, 18, 9, 1], [0, 6, 87, 84, 913, 1573, 1518, 5181, 1122, 3784, 1155, 606, 317, 29, 8, 1], [0, 6, 87, 85, 902, 1628, 1353, 5511, 660, 4246, 825, 771, 262, 40, 7, 1], [0, 6, 87, 86, 891, 1683, 1188, 5841, 198, 4708, 495, 936, 207, 51, 6, 1], [0, 6, 87, 87, 881, 1727, 1078, 6006, 66, 4708, 627, 771, 317, 7, 16, 0], [0, 6, 88, 68, 1022, 1144, 2618, 3234, 3564, 1606, 2508, 56, 438, 28, 2, 2], [0, 6, 88, 69, 1011, 1199, 2453, 3564, 3102, 2068, 2178, 221, 383, 39, 1, 2], [0, 6, 88, 70, 1000, 1254, 2288, 3894, 2640, 2530, 1848, 386, 328, 50, 0, 2], [0, 6, 88, 71, 990, 1298, 2178, 4059, 2508, 2530, 1980, 221, 438, 6, 10, 1], [0, 6, 88, 72, 979, 1353, 2013, 4389, 2046, 2992, 1650, 386, 383, 17, 9, 1], [0, 6, 88, 73, 968, 1408, 1848, 4719, 1584, 3454, 1320, 551, 328, 28, 8, 1], [0, 6, 88, 74, 957, 1463, 1683, 5049, 1122, 3916, 990, 716, 273, 39, 7, 1], [0, 6, 88, 75, 946, 1518, 1518, 5379, 660, 4378, 660, 881, 218, 50, 6, 1], [0, 6, 88, 76, 935, 1573, 1353, 5709, 198, 4840, 330, 1046, 163, 61, 5, 1], [0, 6, 88, 76, 936, 1562, 1408, 5544, 528, 4378, 792, 716, 328, 6, 16, 0], [0, 6, 88, 77, 925, 1617, 1243, 5874, 66, 4840, 462, 881, 273, 17, 15, 0], [0, 6, 89, 57, 1077, 979, 2948, 2772, 4026, 1276, 2673, 1, 449, 27, 2, 2], [0, 6, 89, 58, 1066, 1034, 2783, 3102, 3564, 1738, 2343, 166, 394, 38, 1, 2], [0, 6, 89, 59, 1055, 1089, 2618, 3432, 3102, 2200, 2013, 331, 339, 49, 0, 2], [0, 6, 89, 60, 1045, 1133, 2508, 3597, 2970, 2200, 2145, 166, 449, 5, 10, 1], [0, 6, 89, 61, 1034, 1188, 2343, 3927, 2508, 2662, 1815, 331, 394, 16, 9, 1], [0, 6, 89, 62, 1023, 1243, 2178, 4257, 2046, 3124, 1485, 496, 339, 27, 8, 1], [0, 6, 89, 63, 1012, 1298, 2013, 4587, 1584, 3586, 1155, 661, 284, 38, 7, 1], [0, 6, 89, 64, 1001, 1353, 1848, 4917, 1122, 4048, 825, 826, 229, 49, 6, 1], [0, 6, 89, 65, 990, 1408, 1683, 5247, 660, 4510, 495, 991, 174, 60, 5, 1], [0, 6, 89, 65, 991, 1397, 1738, 5082, 990, 4048, 957, 661, 339, 5, 16, 0], [0, 6, 89, 66, 979, 1463, 1518, 5577, 198, 4972, 165, 1156, 119, 71, 4, 1], [0, 6, 89, 66, 980, 1452, 1573, 5412, 528, 4510, 627, 826, 284, 16, 15, 0], [0, 6, 89, 67, 969, 1507, 1408, 5742, 66, 4972, 297, 991, 229, 27, 14, 0], [0, 6, 90, 47, 1121, 869, 3113, 2640, 4026, 1408, 2508, 111, 405, 37, 1, 2], [0, 6, 90, 48, 1110, 924, 2948, 2970, 3564, 1870, 2178, 276, 350, 48, 0, 2], [0, 6, 90, 49, 1100, 968, 2838, 3135, 3432, 1870, 2310, 111, 460, 4, 10, 1], [0, 6, 90, 50, 1089, 1023, 2673, 3465, 2970, 2332, 1980, 276, 405, 15, 9, 1], [0, 6, 90, 51, 1078, 1078, 2508, 3795, 2508, 2794, 1650, 441, 350, 26, 8, 1], [0, 6, 90, 52, 1067, 1133, 2343, 4125, 2046, 3256, 1320, 606, 295, 37, 7, 1], [0, 6, 90, 53, 1056, 1188, 2178, 4455, 1584, 3718, 990, 771, 240, 48, 6, 1], [0, 6, 90, 54, 1045, 1243, 2013, 4785, 1122, 4180, 660, 936, 185, 59, 5, 1], [0, 6, 90, 54, 1046, 1232, 2068, 4620, 1452, 3718, 1122, 606, 350, 4, 16, 0], [0, 6, 90, 55, 1034, 1298, 1848, 5115, 660, 4642, 330, 1101, 130, 70, 4, 1], [0, 6, 90, 55, 1035, 1287, 1903, 4950, 990, 4180, 792, 771, 295, 15, 15, 0], [0, 6, 90, 56, 1023, 1353, 1683, 5445, 198, 5104, 0, 1266, 75, 81, 3, 1], [0, 6, 90, 56, 1024, 1342, 1738, 5280, 528, 4642, 462, 936, 240, 26, 14, 0], [0, 6, 90, 57, 1013, 1397, 1573, 5610, 66, 5104, 132, 1101, 185, 37, 13, 0], [0, 6, 91, 36, 1176, 704, 3443, 2178, 4488, 1078, 2673, 56, 416, 36, 1, 2], [0, 6, 91, 37, 1165, 759, 3278, 2508, 4026, 1540, 2343, 221, 361, 47, 0, 2], [0, 6, 91, 38, 1155, 803, 3168, 2673, 3894, 1540, 2475, 56, 471, 3, 10, 1], [0, 6, 91, 39, 1144, 858, 3003, 3003, 3432, 2002, 2145, 221, 416, 14, 9, 1], [0, 6, 91, 40, 1133, 913, 2838, 3333, 2970, 2464, 1815, 386, 361, 25, 8, 1], [0, 6, 91, 41, 1122, 968, 2673, 3663, 2508, 2926, 1485, 551, 306, 36, 7, 1], [0, 6, 91, 42, 1111, 1023, 2508, 3993, 2046, 3388, 1155, 716, 251, 47, 6, 1], [0, 6, 91, 43, 1100, 1078, 2343, 4323, 1584, 3850, 825, 881, 196, 58, 5, 1], [0, 6, 91, 43, 1101, 1067, 2398, 4158, 1914, 3388, 1287, 551, 361, 3, 16, 0], [0, 6, 91, 44, 1089, 1133, 2178, 4653, 1122, 4312, 495, 1046, 141, 69, 4, 1], [0, 6, 91, 44, 1090, 1122, 2233, 4488, 1452, 3850, 957, 716, 306, 14, 15, 0], [0, 6, 91, 45, 1078, 1188, 2013, 4983, 660, 4774, 165, 1211, 86, 80, 3, 1], [0, 6, 91, 45, 1079, 1177, 2068, 4818, 990, 4312, 627, 881, 251, 25, 14, 0], [0, 6, 91, 46, 1068, 1232, 1903, 5148, 528, 4774, 297, 1046, 196, 36, 13, 0], [0, 6, 92, 25, 1231, 539, 3773, 1716, 4950, 748, 2838, 1, 427, 35, 1, 2], [0, 6, 92, 26, 1220, 594, 3608, 2046, 4488, 1210, 2508, 166, 372, 46, 0, 2], [0, 6, 92, 27, 1210, 638, 3498, 2211, 4356, 1210, 2640, 1, 482, 2, 10, 1], [0, 6, 92, 28, 1199, 693, 3333, 2541, 3894, 1672, 2310, 166, 427, 13, 9, 1], [0, 6, 92, 29, 1188, 748, 3168, 2871, 3432, 2134, 1980, 331, 372, 24, 8, 1], [0, 6, 92, 30, 1177, 803, 3003, 3201, 2970, 2596, 1650, 496, 317, 35, 7, 1], [0, 6, 92, 31, 1166, 858, 2838, 3531, 2508, 3058, 1320, 661, 262, 46, 6, 1], [0, 6, 92, 32, 1155, 913, 2673, 3861, 2046, 3520, 990, 826, 207, 57, 5, 1], [0, 6, 92, 32, 1156, 902, 2728, 3696, 2376, 3058, 1452, 496, 372, 2, 16, 0], [0, 6, 92, 33, 1144, 968, 2508, 4191, 1584, 3982, 660, 991, 152, 68, 4, 1], [0, 6, 92, 33, 1145, 957, 2563, 4026, 1914, 3520, 1122, 661, 317, 13, 15, 0], [0, 6, 92, 34, 1133, 1023, 2343, 4521, 1122, 4444, 330, 1156, 97, 79, 3, 1], [0, 6, 92, 34, 1134, 1012, 2398, 4356, 1452, 3982, 792, 826, 262, 24, 14, 0], [0, 6, 92, 35, 1122, 1078, 2178, 4851, 660, 4906, 0, 1321, 42, 90, 2, 1], [0, 6, 92, 35, 1123, 1067, 2233, 4686, 990, 4444, 462, 991, 207, 35, 13, 0], [0, 6, 92, 36, 1112, 1122, 2068, 5016, 528, 4906, 132, 1156, 152, 46, 12, 0], [0, 6, 93, 15, 1275, 429, 3938, 1584, 4950, 880, 2673, 111, 383, 45, 0, 2], [0, 6, 93, 17, 1254, 528, 3663, 2079, 4356, 1342, 2475, 111, 438, 12, 9, 1], [0, 6, 93, 18, 1243, 583, 3498, 2409, 3894, 1804, 2145, 276, 383, 23, 8, 1], [0, 6, 93, 19, 1232, 638, 3333, 2739, 3432, 2266, 1815, 441, 328, 34, 7, 1], [0, 6, 93, 20, 1221, 693, 3168, 3069, 2970, 2728, 1485, 606, 273, 45, 6, 1], [0, 6, 93, 21, 1210, 748, 3003, 3399, 2508, 3190, 1155, 771, 218, 56, 5, 1], [0, 6, 93, 21, 1211, 737, 3058, 3234, 2838, 2728, 1617, 441, 383, 1, 16, 0], [0, 6, 93, 22, 1199, 803, 2838, 3729, 2046, 3652, 825, 936, 163, 67, 4, 1], [0, 6, 93, 22, 1200, 792, 2893, 3564, 2376, 3190, 1287, 606, 328, 12, 15, 0], [0, 6, 93, 23, 1188, 858, 2673, 4059, 1584, 4114, 495, 1101, 108, 78, 3, 1], [0, 6, 93, 23, 1189, 847, 2728, 3894, 1914, 3652, 957, 771, 273, 23, 14, 0], [0, 6, 93, 24, 1177, 913, 2508, 4389, 1122, 4576, 165, 1266, 53, 89, 2, 1], [0, 6, 93, 24, 1178, 902, 2563, 4224, 1452, 4114, 627, 936, 218, 34, 13, 0], [0, 6, 93, 25, 1167, 957, 2398, 4554, 990, 4576, 297, 1101, 163, 45, 12, 0], [0, 6, 94, 4, 1330, 264, 4268, 1122, 5412, 550, 2838, 56, 394, 44, 0, 2], [0, 6, 94, 6, 1309, 363, 3993, 1617, 4818, 1012, 2640, 56, 449, 11, 9, 1], [0, 6, 94, 7, 1298, 418, 3828, 1947, 4356, 1474, 2310, 221, 394, 22, 8, 1], [0, 6, 94, 8, 1287, 473, 3663, 2277, 3894, 1936, 1980, 386, 339, 33, 7, 1], [0, 6, 94, 9, 1276, 528, 3498, 2607, 3432, 2398, 1650, 551, 284, 44, 6, 1], [0, 6, 94, 10, 1265, 583, 3333, 2937, 2970, 2860, 1320, 716, 229, 55, 5, 1], [0, 6, 94, 10, 1266, 572, 3388, 2772, 3300, 2398, 1782, 386, 394, 0, 16, 0], [0, 6, 94, 11, 1254, 638, 3168, 3267, 2508, 3322, 990, 881, 174, 66, 4, 1], [0, 6, 94, 11, 1255, 627, 3223, 3102, 2838, 2860, 1452, 551, 339, 11, 15, 0], [0, 6, 94, 12, 1243, 693, 3003, 3597, 2046, 3784, 660, 1046, 119, 77, 3, 1], [0, 6, 94, 12, 1244, 682, 3058, 3432, 2376, 3322, 1122, 716, 284, 22, 14, 0], [0, 6, 94, 13, 1232, 748, 2838, 3927, 1584, 4246, 330, 1211, 64, 88, 2, 1], [0, 6, 94, 13, 1233, 737, 2893, 3762, 1914, 3784, 792, 881, 229, 33, 13, 0], [0, 6, 94, 14, 1221, 803, 2673, 4257, 1122, 4708, 0, 1376, 9, 99, 1, 1], [0, 6, 94, 14, 1222, 792, 2728, 4092, 1452, 4246, 462, 1046, 174, 44, 12, 0], [0, 6, 94, 15, 1211, 847, 2563, 4422, 990, 4708, 132, 1211, 119, 55, 11, 0], [0, 6, 95, 0, 1309, 473, 3498, 2805, 2970, 2992, 1155, 826, 185, 65, 4, 1], [0, 6, 95, 0, 1310, 462, 3553, 2640, 3300, 2530, 1617, 496, 350, 10, 15, 0], [0, 6, 95, 1, 1298, 528, 3333, 3135, 2508, 3454, 825, 991, 130, 76, 3, 1], [0, 6, 95, 1, 1299, 517, 3388, 2970, 2838, 2992, 1287, 661, 295, 21, 14, 0], [0, 6, 95, 2, 1287, 583, 3168, 3465, 2046, 3916, 495, 1156, 75, 87, 2, 1], [0, 6, 95, 2, 1288, 572, 3223, 3300, 2376, 3454, 957, 826, 240, 32, 13, 0], [0, 6, 95, 3, 1276, 638, 3003, 3795, 1584, 4378, 165, 1321, 20, 98, 1, 1], [0, 6, 95, 3, 1277, 627, 3058, 3630, 1914, 3916, 627, 991, 185, 43, 12, 0], [0, 6, 95, 4, 1266, 682, 2893, 3960, 1452, 4378, 297, 1156, 130, 54, 11, 0], [0, 7, 69, 208, 450, 2629, 11, 6402, 924, 3025, 2123, 12, 514, 3, 5, 2], [0, 7, 70, 198, 494, 2519, 176, 6270, 924, 3157, 1958, 122, 470, 13, 4, 2], [0, 7, 70, 199, 483, 2574, 11, 6600, 462, 3619, 1628, 287, 415, 24, 3, 2], [0, 7, 71, 187, 549, 2354, 506, 5808, 1386, 2827, 2123, 67, 481, 12, 4, 2], [0, 7, 71, 188, 538, 2409, 341, 6138, 924, 3289, 1793, 232, 426, 23, 3, 2], [0, 7, 71, 189, 527, 2464, 176, 6468, 462, 3751, 1463, 397, 371, 34, 2, 2], [0, 7, 71, 190, 516, 2519, 11, 6798, 0, 4213, 1133, 562, 316, 45, 1, 2], [0, 7, 72, 176, 604, 2189, 836, 5346, 1848, 2497, 2288, 12, 492, 11, 4, 2], [0, 7, 72, 177, 593, 2244, 671, 5676, 1386, 2959, 1958, 177, 437, 22, 3, 2], [0, 7, 72, 178, 582, 2299, 506, 6006, 924, 3421, 1628, 342, 382, 33, 2, 2], [0, 7, 72, 179, 571, 2354, 341, 6336, 462, 3883, 1298, 507, 327, 44, 1, 2], [0, 7, 72, 180, 560, 2409, 176, 6666, 0, 4345, 968, 672, 272, 55, 0, 2], [0, 7, 72, 180, 561, 2398, 231, 6501, 330, 3883, 1430, 342, 437, 0, 11, 1], [0, 7, 73, 166, 648, 2079, 1001, 5214, 1848, 2629, 2123, 122, 448, 21, 3, 2], [0, 7, 73, 167, 637, 2134, 836, 5544, 1386, 3091, 1793, 287, 393, 32, 2, 2], [0, 7, 73, 168, 626, 2189, 671, 5874, 924, 3553, 1463, 452, 338, 43, 1, 2], [0, 7, 73, 169, 615, 2244, 506, 6204, 462, 4015, 1133, 617, 283, 54, 0, 2], [0, 7, 73, 170, 605, 2288, 396, 6369, 330, 4015, 1265, 452, 393, 10, 10, 1], [0, 7, 74, 155, 703, 1914, 1331, 4752, 2310, 2299, 2288, 67, 459, 20, 3, 2], [0, 7, 74, 156, 692, 1969, 1166, 5082, 1848, 2761, 1958, 232, 404, 31, 2, 2], [0, 7, 74, 157, 681, 2024, 1001, 5412, 1386, 3223, 1628, 397, 349, 42, 1, 2], [0, 7, 74, 158, 670, 2079, 836, 5742, 924, 3685, 1298, 562, 294, 53, 0, 2], [0, 7, 74, 159, 660, 2123, 726, 5907, 792, 3685, 1430, 397, 404, 9, 10, 1], [0, 7, 74, 160, 649, 2178, 561, 6237, 330, 4147, 1100, 562, 349, 20, 9, 1], [0, 7, 75, 144, 758, 1749, 1661, 4290, 2772, 1969, 2453, 12, 470, 19, 3, 2], [0, 7, 75, 145, 747, 1804, 1496, 4620, 2310, 2431, 2123, 177, 415, 30, 2, 2], [0, 7, 75, 146, 736, 1859, 1331, 4950, 1848, 2893, 1793, 342, 360, 41, 1, 2], [0, 7, 75, 147, 725, 1914, 1166, 5280, 1386, 3355, 1463, 507, 305, 52, 0, 2], [0, 7, 75, 148, 715, 1958, 1056, 5445, 1254, 3355, 1595, 342, 415, 8, 10, 1], [0, 7, 75, 149, 704, 2013, 891, 5775, 792, 3817, 1265, 507, 360, 19, 9, 1], [0, 7, 75, 150, 693, 2068, 726, 6105, 330, 4279, 935, 672, 305, 30, 8, 1], [0, 7, 76, 134, 802, 1639, 1826, 4158, 2772, 2101, 2288, 122, 426, 29, 2, 2], [0, 7, 76, 135, 791, 1694, 1661, 4488, 2310, 2563, 1958, 287, 371, 40, 1, 2], [0, 7, 76, 136, 780, 1749, 1496, 4818, 1848, 3025, 1628, 452, 316, 51, 0, 2], [0, 7, 76, 137, 770, 1793, 1386, 4983, 1716, 3025, 1760, 287, 426, 7, 10, 1], [0, 7, 76, 138, 759, 1848, 1221, 5313, 1254, 3487, 1430, 452, 371, 18, 9, 1], [0, 7, 76, 139, 748, 1903, 1056, 5643, 792, 3949, 1100, 617, 316, 29, 8, 1], [0, 7, 76, 140, 737, 1958, 891, 5973, 330, 4411, 770, 782, 261, 40, 7, 1], [0, 7, 77, 123, 857, 1474, 2156, 3696, 3234, 1771, 2453, 67, 437, 28, 2, 2], [0, 7, 77, 124, 846, 1529, 1991, 4026, 2772, 2233, 2123, 232, 382, 39, 1, 2], [0, 7, 77, 125, 835, 1584, 1826, 4356, 2310, 2695, 1793, 397, 327, 50, 0, 2], [0, 7, 77, 126, 825, 1628, 1716, 4521, 2178, 2695, 1925, 232, 437, 6, 10, 1], [0, 7, 77, 127, 814, 1683, 1551, 4851, 1716, 3157, 1595, 397, 382, 17, 9, 1], [0, 7, 77, 128, 803, 1738, 1386, 5181, 1254, 3619, 1265, 562, 327, 28, 8, 1], [0, 7, 77, 129, 792, 1793, 1221, 5511, 792, 4081, 935, 727, 272, 39, 7, 1], [0, 7, 77, 130, 781, 1848, 1056, 5841, 330, 4543, 605, 892, 217, 50, 6, 1], [0, 7, 77, 131, 771, 1892, 946, 6006, 198, 4543, 737, 727, 327, 6, 16, 0], [0, 7, 78, 112, 912, 1309, 2486, 3234, 3696, 1441, 2618, 12, 448, 27, 2, 2], [0, 7, 78, 113, 901, 1364, 2321, 3564, 3234, 1903, 2288, 177, 393, 38, 1, 2], [0, 7, 78, 114, 890, 1419, 2156, 3894, 2772, 2365, 1958, 342, 338, 49, 0, 2], [0, 7, 78, 115, 880, 1463, 2046, 4059, 2640, 2365, 2090, 177, 448, 5, 10, 1], [0, 7, 78, 116, 869, 1518, 1881, 4389, 2178, 2827, 1760, 342, 393, 16, 9, 1], [0, 7, 78, 117, 858, 1573, 1716, 4719, 1716, 3289, 1430, 507, 338, 27, 8, 1], [0, 7, 78, 118, 847, 1628, 1551, 5049, 1254, 3751, 1100, 672, 283, 38, 7, 1], [0, 7, 78, 119, 836, 1683, 1386, 5379, 792, 4213, 770, 837, 228, 49, 6, 1], [0, 7, 78, 120, 825, 1738, 1221, 5709, 330, 4675, 440, 1002, 173, 60, 5, 1], [0, 7, 78, 120, 826, 1727, 1276, 5544, 660, 4213, 902, 672, 338, 5, 16, 0], [0, 7, 78, 121, 815, 1782, 1111, 5874, 198, 4675, 572, 837, 283, 16, 15, 0], [0, 7, 79, 102, 956, 1199, 2651, 3102, 3696, 1573, 2453, 122, 404, 37, 1, 2], [0, 7, 79, 103, 945, 1254, 2486, 3432, 3234, 2035, 2123, 287, 349, 48, 0, 2], [0, 7, 79, 104, 935, 1298, 2376, 3597, 3102, 2035, 2255, 122, 459, 4, 10, 1], [0, 7, 79, 105, 924, 1353, 2211, 3927, 2640, 2497, 1925, 287, 404, 15, 9, 1], [0, 7, 79, 106, 913, 1408, 2046, 4257, 2178, 2959, 1595, 452, 349, 26, 8, 1], [0, 7, 79, 107, 902, 1463, 1881, 4587, 1716, 3421, 1265, 617, 294, 37, 7, 1], [0, 7, 79, 108, 891, 1518, 1716, 4917, 1254, 3883, 935, 782, 239, 48, 6, 1], [0, 7, 79, 109, 880, 1573, 1551, 5247, 792, 4345, 605, 947, 184, 59, 5, 1], [0, 7, 79, 109, 881, 1562, 1606, 5082, 1122, 3883, 1067, 617, 349, 4, 16, 0], [0, 7, 79, 110, 869, 1628, 1386, 5577, 330, 4807, 275, 1112, 129, 70, 4, 1], [0, 7, 79, 110, 870, 1617, 1441, 5412, 660, 4345, 737, 782, 294, 15, 15, 0], [0, 7, 79, 111, 859, 1672, 1276, 5742, 198, 4807, 407, 947, 239, 26, 14, 0], [0, 7, 80, 91, 1011, 1034, 2981, 2640, 4158, 1243, 2618, 67, 415, 36, 1, 2], [0, 7, 80, 92, 1000, 1089, 2816, 2970, 3696, 1705, 2288, 232, 360, 47, 0, 2], [0, 7, 80, 93, 990, 1133, 2706, 3135, 3564, 1705, 2420, 67, 470, 3, 10, 1], [0, 7, 80, 94, 979, 1188, 2541, 3465, 3102, 2167, 2090, 232, 415, 14, 9, 1], [0, 7, 80, 95, 968, 1243, 2376, 3795, 2640, 2629, 1760, 397, 360, 25, 8, 1], [0, 7, 80, 96, 957, 1298, 2211, 4125, 2178, 3091, 1430, 562, 305, 36, 7, 1], [0, 7, 80, 97, 946, 1353, 2046, 4455, 1716, 3553, 1100, 727, 250, 47, 6, 1], [0, 7, 80, 98, 935, 1408, 1881, 4785, 1254, 4015, 770, 892, 195, 58, 5, 1], [0, 7, 80, 98, 936, 1397, 1936, 4620, 1584, 3553, 1232, 562, 360, 3, 16, 0], [0, 7, 80, 99, 924, 1463, 1716, 5115, 792, 4477, 440, 1057, 140, 69, 4, 1], [0, 7, 80, 99, 925, 1452, 1771, 4950, 1122, 4015, 902, 727, 305, 14, 15, 0], [0, 7, 80, 100, 913, 1518, 1551, 5445, 330, 4939, 110, 1222, 85, 80, 3, 1], [0, 7, 80, 100, 914, 1507, 1606, 5280, 660, 4477, 572, 892, 250, 25, 14, 0], [0, 7, 80, 101, 903, 1562, 1441, 5610, 198, 4939, 242, 1057, 195, 36, 13, 0], [0, 7, 81, 80, 1066, 869, 3311, 2178, 4620, 913, 2783, 12, 426, 35, 1, 2], [0, 7, 81, 81, 1055, 924, 3146, 2508, 4158, 1375, 2453, 177, 371, 46, 0, 2], [0, 7, 81, 82, 1045, 968, 3036, 2673, 4026, 1375, 2585, 12, 481, 2, 10, 1], [0, 7, 81, 83, 1034, 1023, 2871, 3003, 3564, 1837, 2255, 177, 426, 13, 9, 1], [0, 7, 81, 84, 1023, 1078, 2706, 3333, 3102, 2299, 1925, 342, 371, 24, 8, 1], [0, 7, 81, 85, 1012, 1133, 2541, 3663, 2640, 2761, 1595, 507, 316, 35, 7, 1], [0, 7, 81, 86, 1001, 1188, 2376, 3993, 2178, 3223, 1265, 672, 261, 46, 6, 1], [0, 7, 81, 87, 990, 1243, 2211, 4323, 1716, 3685, 935, 837, 206, 57, 5, 1], [0, 7, 81, 87, 991, 1232, 2266, 4158, 2046, 3223, 1397, 507, 371, 2, 16, 0], [0, 7, 81, 88, 979, 1298, 2046, 4653, 1254, 4147, 605, 1002, 151, 68, 4, 1], [0, 7, 81, 88, 980, 1287, 2101, 4488, 1584, 3685, 1067, 672, 316, 13, 15, 0], [0, 7, 81, 89, 968, 1353, 1881, 4983, 792, 4609, 275, 1167, 96, 79, 3, 1], [0, 7, 81, 89, 969, 1342, 1936, 4818, 1122, 4147, 737, 837, 261, 24, 14, 0], [0, 7, 81, 90, 958, 1397, 1771, 5148, 660, 4609, 407, 1002, 206, 35, 13, 0], [0, 7, 81, 91, 947, 1452, 1606, 5478, 198, 5071, 77, 1167, 151, 46, 12, 0], [0, 7, 82, 70, 1110, 759, 3476, 2046, 4620, 1045, 2618, 122, 382, 45, 0, 2], [0, 7, 82, 72, 1089, 858, 3201, 2541, 4026, 1507, 2420, 122, 437, 12, 9, 1], [0, 7, 82, 73, 1078, 913, 3036, 2871, 3564, 1969, 2090, 287, 382, 23, 8, 1], [0, 7, 82, 74, 1067, 968, 2871, 3201, 3102, 2431, 1760, 452, 327, 34, 7, 1], [0, 7, 82, 75, 1056, 1023, 2706, 3531, 2640, 2893, 1430, 617, 272, 45, 6, 1], [0, 7, 82, 76, 1045, 1078, 2541, 3861, 2178, 3355, 1100, 782, 217, 56, 5, 1], [0, 7, 82, 76, 1046, 1067, 2596, 3696, 2508, 2893, 1562, 452, 382, 1, 16, 0], [0, 7, 82, 77, 1034, 1133, 2376, 4191, 1716, 3817, 770, 947, 162, 67, 4, 1], [0, 7, 82, 77, 1035, 1122, 2431, 4026, 2046, 3355, 1232, 617, 327, 12, 15, 0], [0, 7, 82, 78, 1023, 1188, 2211, 4521, 1254, 4279, 440, 1112, 107, 78, 3, 1], [0, 7, 82, 78, 1024, 1177, 2266, 4356, 1584, 3817, 902, 782, 272, 23, 14, 0], [0, 7, 82, 79, 1012, 1243, 2046, 4851, 792, 4741, 110, 1277, 52, 89, 2, 1], [0, 7, 82, 79, 1013, 1232, 2101, 4686, 1122, 4279, 572, 947, 217, 34, 13, 0], [0, 7, 82, 80, 1002, 1287, 1936, 5016, 660, 4741, 242, 1112, 162, 45, 12, 0], [0, 7, 83, 59, 1165, 594, 3806, 1584, 5082, 715, 2783, 67, 393, 44, 0, 2], [0, 7, 83, 61, 1144, 693, 3531, 2079, 4488, 1177, 2585, 67, 448, 11, 9, 1], [0, 7, 83, 62, 1133, 748, 3366, 2409, 4026, 1639, 2255, 232, 393, 22, 8, 1], [0, 7, 83, 63, 1122, 803, 3201, 2739, 3564, 2101, 1925, 397, 338, 33, 7, 1], [0, 7, 83, 64, 1111, 858, 3036, 3069, 3102, 2563, 1595, 562, 283, 44, 6, 1], [0, 7, 83, 65, 1100, 913, 2871, 3399, 2640, 3025, 1265, 727, 228, 55, 5, 1], [0, 7, 83, 65, 1101, 902, 2926, 3234, 2970, 2563, 1727, 397, 393, 0, 16, 0], [0, 7, 83, 66, 1089, 968, 2706, 3729, 2178, 3487, 935, 892, 173, 66, 4, 1], [0, 7, 83, 66, 1090, 957, 2761, 3564, 2508, 3025, 1397, 562, 338, 11, 15, 0], [0, 7, 83, 67, 1078, 1023, 2541, 4059, 1716, 3949, 605, 1057, 118, 77, 3, 1], [0, 7, 83, 67, 1079, 1012, 2596, 3894, 2046, 3487, 1067, 727, 283, 22, 14, 0], [0, 7, 83, 68, 1067, 1078, 2376, 4389, 1254, 4411, 275, 1222, 63, 88, 2, 1], [0, 7, 83, 68, 1068, 1067, 2431, 4224, 1584, 3949, 737, 892, 228, 33, 13, 0], [0, 7, 83, 69, 1057, 1122, 2266, 4554, 1122, 4411, 407, 1057, 173, 44, 12, 0], [0, 7, 83, 70, 1046, 1177, 2101, 4884, 660, 4873, 77, 1222, 118, 55, 11, 0], [0, 7, 84, 48, 1220, 429, 4136, 1122, 5544, 385, 2948, 12, 404, 43, 0, 2], [0, 7, 84, 50, 1199, 528, 3861, 1617, 4950, 847, 2750, 12, 459, 10, 9, 1], [0, 7, 84, 51, 1188, 583, 3696, 1947, 4488, 1309, 2420, 177, 404, 21, 8, 1], [0, 7, 84, 52, 1177, 638, 3531, 2277, 4026, 1771, 2090, 342, 349, 32, 7, 1], [0, 7, 84, 53, 1166, 693, 3366, 2607, 3564, 2233, 1760, 507, 294, 43, 6, 1], [0, 7, 84, 54, 1155, 748, 3201, 2937, 3102, 2695, 1430, 672, 239, 54, 5, 1], [0, 7, 84, 55, 1144, 803, 3036, 3267, 2640, 3157, 1100, 837, 184, 65, 4, 1], [0, 7, 84, 55, 1145, 792, 3091, 3102, 2970, 2695, 1562, 507, 349, 10, 15, 0], [0, 7, 84, 56, 1133, 858, 2871, 3597, 2178, 3619, 770, 1002, 129, 76, 3, 1], [0, 7, 84, 56, 1134, 847, 2926, 3432, 2508, 3157, 1232, 672, 294, 21, 14, 0], [0, 7, 84, 57, 1122, 913, 2706, 3927, 1716, 4081, 440, 1167, 74, 87, 2, 1], [0, 7, 84, 57, 1123, 902, 2761, 3762, 2046, 3619, 902, 837, 239, 32, 13, 0], [0, 7, 84, 58, 1111, 968, 2541, 4257, 1254, 4543, 110, 1332, 19, 98, 1, 1], [0, 7, 84, 58, 1112, 957, 2596, 4092, 1584, 4081, 572, 1002, 184, 43, 12, 0], [0, 7, 84, 59, 1101, 1012, 2431, 4422, 1122, 4543, 242, 1167, 129, 54, 11, 0], [0, 7, 85, 40, 1243, 418, 4026, 1485, 4950, 979, 2585, 122, 415, 20, 8, 1], [0, 7, 85, 41, 1232, 473, 3861, 1815, 4488, 1441, 2255, 287, 360, 31, 7, 1], [0, 7, 85, 42, 1221, 528, 3696, 2145, 4026, 1903, 1925, 452, 305, 42, 6, 1], [0, 7, 85, 43, 1210, 583, 3531, 2475, 3564, 2365, 1595, 617, 250, 53, 5, 1], [0, 7, 85, 44, 1199, 638, 3366, 2805, 3102, 2827, 1265, 782, 195, 64, 4, 1], [0, 7, 85, 44, 1200, 627, 3421, 2640, 3432, 2365, 1727, 452, 360, 9, 15, 0], [0, 7, 85, 45, 1188, 693, 3201, 3135, 2640, 3289, 935, 947, 140, 75, 3, 1], [0, 7, 85, 45, 1189, 682, 3256, 2970, 2970, 2827, 1397, 617, 305, 20, 14, 0], [0, 7, 85, 46, 1177, 748, 3036, 3465, 2178, 3751, 605, 1112, 85, 86, 2, 1], [0, 7, 85, 46, 1178, 737, 3091, 3300, 2508, 3289, 1067, 782, 250, 31, 13, 0], [0, 7, 85, 47, 1166, 803, 2871, 3795, 1716, 4213, 275, 1277, 30, 97, 1, 1], [0, 7, 85, 47, 1167, 792, 2926, 3630, 2046, 3751, 737, 947, 195, 42, 12, 0], [0, 7, 85, 48, 1156, 847, 2761, 3960, 1584, 4213, 407, 1112, 140, 53, 11, 0], [0, 7, 85, 49, 1145, 902, 2596, 4290, 1122, 4675, 77, 1277, 85, 64, 10, 0], [0, 7, 86, 29, 1298, 253, 4356, 1023, 5412, 649, 2750, 67, 426, 19, 8, 1], [0, 7, 86, 30, 1287, 308, 4191, 1353, 4950, 1111, 2420, 232, 371, 30, 7, 1], [0, 7, 86, 31, 1276, 363, 4026, 1683, 4488, 1573, 2090, 397, 316, 41, 6, 1], [0, 7, 86, 32, 1265, 418, 3861, 2013, 4026, 2035, 1760, 562, 261, 52, 5, 1], [0, 7, 86, 33, 1254, 473, 3696, 2343, 3564, 2497, 1430, 727, 206, 63, 4, 1], [0, 7, 86, 33, 1255, 462, 3751, 2178, 3894, 2035, 1892, 397, 371, 8, 15, 0], [0, 7, 86, 34, 1243, 528, 3531, 2673, 3102, 2959, 1100, 892, 151, 74, 3, 1], [0, 7, 86, 34, 1244, 517, 3586, 2508, 3432, 2497, 1562, 562, 316, 19, 14, 0], [0, 7, 86, 35, 1232, 583, 3366, 3003, 2640, 3421, 770, 1057, 96, 85, 2, 1], [0, 7, 86, 35, 1233, 572, 3421, 2838, 2970, 2959, 1232, 727, 261, 30, 13, 0], [0, 7, 86, 36, 1221, 638, 3201, 3333, 2178, 3883, 440, 1222, 41, 96, 1, 1], [0, 7, 86, 36, 1222, 627, 3256, 3168, 2508, 3421, 902, 892, 206, 41, 12, 0], [0, 7, 86, 37, 1211, 682, 3091, 3498, 2046, 3883, 572, 1057, 151, 52, 11, 0], [0, 7, 86, 38, 1200, 737, 2926, 3828, 1584, 4345, 242, 1222, 96, 63, 10, 0], [0, 7, 87, 18, 1353, 88, 4686, 561, 5874, 319, 2915, 12, 437, 18, 8, 1], [0, 7, 87, 19, 1342, 143, 4521, 891, 5412, 781, 2585, 177, 382, 29, 7, 1], [0, 7, 87, 20, 1331, 198, 4356, 1221, 4950, 1243, 2255, 342, 327, 40, 6, 1], [0, 7, 87, 21, 1320, 253, 4191, 1551, 4488, 1705, 1925, 507, 272, 51, 5, 1], [0, 7, 87, 22, 1309, 308, 4026, 1881, 4026, 2167, 1595, 672, 217, 62, 4, 1], [0, 7, 87, 22, 1310, 297, 4081, 1716, 4356, 1705, 2057, 342, 382, 7, 15, 0], [0, 7, 87, 23, 1298, 363, 3861, 2211, 3564, 2629, 1265, 837, 162, 73, 3, 1], [0, 7, 87, 23, 1299, 352, 3916, 2046, 3894, 2167, 1727, 507, 327, 18, 14, 0], [0, 7, 87, 24, 1287, 418, 3696, 2541, 3102, 3091, 935, 1002, 107, 84, 2, 1], [0, 7, 87, 24, 1288, 407, 3751, 2376, 3432, 2629, 1397, 672, 272, 29, 13, 0], [0, 7, 87, 25, 1276, 473, 3531, 2871, 2640, 3553, 605, 1167, 52, 95, 1, 1], [0, 7, 87, 25, 1277, 462, 3586, 2706, 2970, 3091, 1067, 837, 217, 40, 12, 0], [0, 7, 87, 26, 1266, 517, 3421, 3036, 2508, 3553, 737, 1002, 162, 51, 11, 0], [0, 7, 87, 27, 1255, 572, 3256, 3366, 2046, 4015, 407, 1167, 107, 62, 10, 0], [0, 7, 87, 28, 1244, 627, 3091, 3696, 1584, 4477, 77, 1332, 52, 73, 9, 0], [0, 7, 88, 9, 1386, 33, 4686, 759, 5412, 913, 2420, 287, 338, 39, 6, 1], [0, 7, 88, 10, 1375, 88, 4521, 1089, 4950, 1375, 2090, 452, 283, 50, 5, 1], [0, 7, 88, 11, 1364, 143, 4356, 1419, 4488, 1837, 1760, 617, 228, 61, 4, 1], [0, 7, 88, 11, 1365, 132, 4411, 1254, 4818, 1375, 2222, 287, 393, 6, 15, 0], [0, 7, 88, 12, 1353, 198, 4191, 1749, 4026, 2299, 1430, 782, 173, 72, 3, 1], [0, 7, 88, 12, 1354, 187, 4246, 1584, 4356, 1837, 1892, 452, 338, 17, 14, 0], [0, 7, 88, 13, 1342, 253, 4026, 2079, 3564, 2761, 1100, 947, 118, 83, 2, 1], [0, 7, 88, 13, 1343, 242, 4081, 1914, 3894, 2299, 1562, 617, 283, 28, 13, 0], [0, 7, 88, 14, 1331, 308, 3861, 2409, 3102, 3223, 770, 1112, 63, 94, 1, 1], [0, 7, 88, 14, 1332, 297, 3916, 2244, 3432, 2761, 1232, 782, 228, 39, 12, 0], [0, 7, 88, 15, 1320, 363, 3696, 2739, 2640, 3685, 440, 1277, 8, 105, 0, 1], [0, 7, 88, 15, 1321, 352, 3751, 2574, 2970, 3223, 902, 947, 173, 50, 11, 0], [0, 7, 88, 16, 1310, 407, 3586, 2904, 2508, 3685, 572, 1112, 118, 61, 10, 0], [0, 7, 88, 17, 1299, 462, 3421, 3234, 2046, 4147, 242, 1277, 63, 72, 9, 0], [0, 7, 89, 1, 1408, 33, 4521, 1287, 4488, 1969, 1595, 727, 184, 71, 3, 1], [0, 7, 89, 1, 1409, 22, 4576, 1122, 4818, 1507, 2057, 397, 349, 16, 14, 0], [0, 7, 89, 2, 1397, 88, 4356, 1617, 4026, 2431, 1265, 892, 129, 82, 2, 1], [0, 7, 89, 2, 1398, 77, 4411, 1452, 4356, 1969, 1727, 562, 294, 27, 13, 0], [0, 7, 89, 3, 1386, 143, 4191, 1947, 3564, 2893, 935, 1057, 74, 93, 1, 1], [0, 7, 89, 3, 1387, 132, 4246, 1782, 3894, 2431, 1397, 727, 239, 38, 12, 0], [0, 7, 89, 4, 1375, 198, 4026, 2277, 3102, 3355, 605, 1222, 19, 104, 0, 1], [0, 7, 89, 4, 1376, 187, 4081, 2112, 3432, 2893, 1067, 892, 184, 49, 11, 0], [0, 7, 89, 5, 1365, 242, 3916, 2442, 2970, 3355, 737, 1057, 129, 60, 10, 0], [0, 7, 89, 6, 1354, 297, 3751, 2772, 2508, 3817, 407, 1222, 74, 71, 9, 0], [0, 7, 89, 7, 1343, 352, 3586, 3102, 2046, 4279, 77, 1387, 19, 82, 8, 0], [0, 8, 60, 242, 384, 2684, 44, 6270, 1056, 2992, 2068, 78, 480, 12, 4, 2], [0, 8, 61, 231, 439, 2519, 374, 5808, 1518, 2662, 2233, 23, 491, 11, 4, 2], [0, 8, 61, 232, 428, 2574, 209, 6138, 1056, 3124, 1903, 188, 436, 22, 3, 2], [0, 8, 61, 233, 417, 2629, 44, 6468, 594, 3586, 1573, 353, 381, 33, 2, 2], [0, 8, 62, 221, 483, 2409, 539, 5676, 1518, 2794, 2068, 133, 447, 21, 3, 2], [0, 8, 62, 222, 472, 2464, 374, 6006, 1056, 3256, 1738, 298, 392, 32, 2, 2], [0, 8, 62, 223, 461, 2519, 209, 6336, 594, 3718, 1408, 463, 337, 43, 1, 2], [0, 8, 62, 224, 450, 2574, 44, 6666, 132, 4180, 1078, 628, 282, 54, 0, 2], [0, 8, 63, 210, 538, 2244, 869, 5214, 1980, 2464, 2233, 78, 458, 20, 3, 2], [0, 8, 63, 211, 527, 2299, 704, 5544, 1518, 2926, 1903, 243, 403, 31, 2, 2], [0, 8, 63, 212, 516, 2354, 539, 5874, 1056, 3388, 1573, 408, 348, 42, 1, 2], [0, 8, 63, 213, 505, 2409, 374, 6204, 594, 3850, 1243, 573, 293, 53, 0, 2], [0, 8, 63, 214, 495, 2453, 264, 6369, 462, 3850, 1375, 408, 403, 9, 10, 1], [0, 8, 63, 215, 484, 2508, 99, 6699, 0, 4312, 1045, 573, 348, 20, 9, 1], [0, 8, 64, 199, 593, 2079, 1199, 4752, 2442, 2134, 2398, 23, 469, 19, 3, 2], [0, 8, 64, 200, 582, 2134, 1034, 5082, 1980, 2596, 2068, 188, 414, 30, 2, 2], [0, 8, 64, 201, 571, 2189, 869, 5412, 1518, 3058, 1738, 353, 359, 41, 1, 2], [0, 8, 64, 202, 560, 2244, 704, 5742, 1056, 3520, 1408, 518, 304, 52, 0, 2], [0, 8, 64, 203, 550, 2288, 594, 5907, 924, 3520, 1540, 353, 414, 8, 10, 1], [0, 8, 64, 204, 539, 2343, 429, 6237, 462, 3982, 1210, 518, 359, 19, 9, 1], [0, 8, 64, 205, 528, 2398, 264, 6567, 0, 4444, 880, 683, 304, 30, 8, 1], [0, 8, 65, 189, 637, 1969, 1364, 4620, 2442, 2266, 2233, 133, 425, 29, 2, 2], [0, 8, 65, 190, 626, 2024, 1199, 4950, 1980, 2728, 1903, 298, 370, 40, 1, 2], [0, 8, 65, 191, 615, 2079, 1034, 5280, 1518, 3190, 1573, 463, 315, 51, 0, 2], [0, 8, 65, 192, 605, 2123, 924, 5445, 1386, 3190, 1705, 298, 425, 7, 10, 1], [0, 8, 65, 193, 594, 2178, 759, 5775, 924, 3652, 1375, 463, 370, 18, 9, 1], [0, 8, 65, 194, 583, 2233, 594, 6105, 462, 4114, 1045, 628, 315, 29, 8, 1], [0, 8, 65, 195, 572, 2288, 429, 6435, 0, 4576, 715, 793, 260, 40, 7, 1], [0, 8, 66, 178, 692, 1804, 1694, 4158, 2904, 1936, 2398, 78, 436, 28, 2, 2], [0, 8, 66, 179, 681, 1859, 1529, 4488, 2442, 2398, 2068, 243, 381, 39, 1, 2], [0, 8, 66, 180, 670, 1914, 1364, 4818, 1980, 2860, 1738, 408, 326, 50, 0, 2], [0, 8, 66, 181, 660, 1958, 1254, 4983, 1848, 2860, 1870, 243, 436, 6, 10, 1], [0, 8, 66, 182, 649, 2013, 1089, 5313, 1386, 3322, 1540, 408, 381, 17, 9, 1], [0, 8, 66, 183, 638, 2068, 924, 5643, 924, 3784, 1210, 573, 326, 28, 8, 1], [0, 8, 66, 184, 627, 2123, 759, 5973, 462, 4246, 880, 738, 271, 39, 7, 1], [0, 8, 66, 185, 616, 2178, 594, 6303, 0, 4708, 550, 903, 216, 50, 6, 1], [0, 8, 67, 167, 747, 1639, 2024, 3696, 3366, 1606, 2563, 23, 447, 27, 2, 2], [0, 8, 67, 168, 736, 1694, 1859, 4026, 2904, 2068, 2233, 188, 392, 38, 1, 2], [0, 8, 67, 169, 725, 1749, 1694, 4356, 2442, 2530, 1903, 353, 337, 49, 0, 2], [0, 8, 67, 170, 715, 1793, 1584, 4521, 2310, 2530, 2035, 188, 447, 5, 10, 1], [0, 8, 67, 171, 704, 1848, 1419, 4851, 1848, 2992, 1705, 353, 392, 16, 9, 1], [0, 8, 67, 172, 693, 1903, 1254, 5181, 1386, 3454, 1375, 518, 337, 27, 8, 1], [0, 8, 67, 173, 682, 1958, 1089, 5511, 924, 3916, 1045, 683, 282, 38, 7, 1], [0, 8, 67, 174, 671, 2013, 924, 5841, 462, 4378, 715, 848, 227, 49, 6, 1], [0, 8, 67, 175, 660, 2068, 759, 6171, 0, 4840, 385, 1013, 172, 60, 5, 1], [0, 8, 67, 175, 661, 2057, 814, 6006, 330, 4378, 847, 683, 337, 5, 16, 0], [0, 8, 68, 157, 791, 1529, 2189, 3564, 3366, 1738, 2398, 133, 403, 37, 1, 2], [0, 8, 68, 158, 780, 1584, 2024, 3894, 2904, 2200, 2068, 298, 348, 48, 0, 2], [0, 8, 68, 159, 770, 1628, 1914, 4059, 2772, 2200, 2200, 133, 458, 4, 10, 1], [0, 8, 68, 160, 759, 1683, 1749, 4389, 2310, 2662, 1870, 298, 403, 15, 9, 1], [0, 8, 68, 161, 748, 1738, 1584, 4719, 1848, 3124, 1540, 463, 348, 26, 8, 1], [0, 8, 68, 162, 737, 1793, 1419, 5049, 1386, 3586, 1210, 628, 293, 37, 7, 1], [0, 8, 68, 163, 726, 1848, 1254, 5379, 924, 4048, 880, 793, 238, 48, 6, 1], [0, 8, 68, 164, 715, 1903, 1089, 5709, 462, 4510, 550, 958, 183, 59, 5, 1], [0, 8, 68, 164, 716, 1892, 1144, 5544, 792, 4048, 1012, 628, 348, 4, 16, 0], [0, 8, 68, 165, 704, 1958, 924, 6039, 0, 4972, 220, 1123, 128, 70, 4, 1], [0, 8, 68, 165, 705, 1947, 979, 5874, 330, 4510, 682, 793, 293, 15, 15, 0], [0, 8, 69, 146, 846, 1364, 2519, 3102, 3828, 1408, 2563, 78, 414, 36, 1, 2], [0, 8, 69, 147, 835, 1419, 2354, 3432, 3366, 1870, 2233, 243, 359, 47, 0, 2], [0, 8, 69, 148, 825, 1463, 2244, 3597, 3234, 1870, 2365, 78, 469, 3, 10, 1], [0, 8, 69, 149, 814, 1518, 2079, 3927, 2772, 2332, 2035, 243, 414, 14, 9, 1], [0, 8, 69, 150, 803, 1573, 1914, 4257, 2310, 2794, 1705, 408, 359, 25, 8, 1], [0, 8, 69, 151, 792, 1628, 1749, 4587, 1848, 3256, 1375, 573, 304, 36, 7, 1], [0, 8, 69, 152, 781, 1683, 1584, 4917, 1386, 3718, 1045, 738, 249, 47, 6, 1], [0, 8, 69, 153, 770, 1738, 1419, 5247, 924, 4180, 715, 903, 194, 58, 5, 1], [0, 8, 69, 153, 771, 1727, 1474, 5082, 1254, 3718, 1177, 573, 359, 3, 16, 0], [0, 8, 69, 154, 759, 1793, 1254, 5577, 462, 4642, 385, 1068, 139, 69, 4, 1], [0, 8, 69, 154, 760, 1782, 1309, 5412, 792, 4180, 847, 738, 304, 14, 15, 0], [0, 8, 69, 155, 748, 1848, 1089, 5907, 0, 5104, 55, 1233, 84, 80, 3, 1], [0, 8, 69, 155, 749, 1837, 1144, 5742, 330, 4642, 517, 903, 249, 25, 14, 0], [0, 8, 70, 135, 901, 1199, 2849, 2640, 4290, 1078, 2728, 23, 425, 35, 1, 2], [0, 8, 70, 136, 890, 1254, 2684, 2970, 3828, 1540, 2398, 188, 370, 46, 0, 2], [0, 8, 70, 137, 880, 1298, 2574, 3135, 3696, 1540, 2530, 23, 480, 2, 10, 1], [0, 8, 70, 138, 869, 1353, 2409, 3465, 3234, 2002, 2200, 188, 425, 13, 9, 1], [0, 8, 70, 139, 858, 1408, 2244, 3795, 2772, 2464, 1870, 353, 370, 24, 8, 1], [0, 8, 70, 140, 847, 1463, 2079, 4125, 2310, 2926, 1540, 518, 315, 35, 7, 1], [0, 8, 70, 141, 836, 1518, 1914, 4455, 1848, 3388, 1210, 683, 260, 46, 6, 1], [0, 8, 70, 142, 825, 1573, 1749, 4785, 1386, 3850, 880, 848, 205, 57, 5, 1], [0, 8, 70, 142, 826, 1562, 1804, 4620, 1716, 3388, 1342, 518, 370, 2, 16, 0], [0, 8, 70, 143, 814, 1628, 1584, 5115, 924, 4312, 550, 1013, 150, 68, 4, 1], [0, 8, 70, 143, 815, 1617, 1639, 4950, 1254, 3850, 1012, 683, 315, 13, 15, 0], [0, 8, 70, 144, 803, 1683, 1419, 5445, 462, 4774, 220, 1178, 95, 79, 3, 1], [0, 8, 70, 144, 804, 1672, 1474, 5280, 792, 4312, 682, 848, 260, 24, 14, 0], [0, 8, 70, 145, 793, 1727, 1309, 5610, 330, 4774, 352, 1013, 205, 35, 13, 0], [0, 8, 71, 125, 945, 1089, 3014, 2508, 4290, 1210, 2563, 133, 381, 45, 0, 2], [0, 8, 71, 127, 924, 1188, 2739, 3003, 3696, 1672, 2365, 133, 436, 12, 9, 1], [0, 8, 71, 128, 913, 1243, 2574, 3333, 3234, 2134, 2035, 298, 381, 23, 8, 1], [0, 8, 71, 129, 902, 1298, 2409, 3663, 2772, 2596, 1705, 463, 326, 34, 7, 1], [0, 8, 71, 130, 891, 1353, 2244, 3993, 2310, 3058, 1375, 628, 271, 45, 6, 1], [0, 8, 71, 131, 880, 1408, 2079, 4323, 1848, 3520, 1045, 793, 216, 56, 5, 1], [0, 8, 71, 131, 881, 1397, 2134, 4158, 2178, 3058, 1507, 463, 381, 1, 16, 0], [0, 8, 71, 132, 869, 1463, 1914, 4653, 1386, 3982, 715, 958, 161, 67, 4, 1], [0, 8, 71, 132, 870, 1452, 1969, 4488, 1716, 3520, 1177, 628, 326, 12, 15, 0], [0, 8, 71, 133, 858, 1518, 1749, 4983, 924, 4444, 385, 1123, 106, 78, 3, 1], [0, 8, 71, 133, 859, 1507, 1804, 4818, 1254, 3982, 847, 793, 271, 23, 14, 0], [0, 8, 71, 134, 847, 1573, 1584, 5313, 462, 4906, 55, 1288, 51, 89, 2, 1], [0, 8, 71, 134, 848, 1562, 1639, 5148, 792, 4444, 517, 958, 216, 34, 13, 0], [0, 8, 71, 135, 837, 1617, 1474, 5478, 330, 4906, 187, 1123, 161, 45, 12, 0], [0, 8, 72, 114, 1000, 924, 3344, 2046, 4752, 880, 2728, 78, 392, 44, 0, 2], [0, 8, 72, 116, 979, 1023, 3069, 2541, 4158, 1342, 2530, 78, 447, 11, 9, 1], [0, 8, 72, 117, 968, 1078, 2904, 2871, 3696, 1804, 2200, 243, 392, 22, 8, 1], [0, 8, 72, 118, 957, 1133, 2739, 3201, 3234, 2266, 1870, 408, 337, 33, 7, 1], [0, 8, 72, 119, 946, 1188, 2574, 3531, 2772, 2728, 1540, 573, 282, 44, 6, 1], [0, 8, 72, 120, 935, 1243, 2409, 3861, 2310, 3190, 1210, 738, 227, 55, 5, 1], [0, 8, 72, 120, 936, 1232, 2464, 3696, 2640, 2728, 1672, 408, 392, 0, 16, 0], [0, 8, 72, 121, 924, 1298, 2244, 4191, 1848, 3652, 880, 903, 172, 66, 4, 1], [0, 8, 72, 121, 925, 1287, 2299, 4026, 2178, 3190, 1342, 573, 337, 11, 15, 0], [0, 8, 72, 122, 913, 1353, 2079, 4521, 1386, 4114, 550, 1068, 117, 77, 3, 1], [0, 8, 72, 122, 914, 1342, 2134, 4356, 1716, 3652, 1012, 738, 282, 22, 14, 0], [0, 8, 72, 123, 902, 1408, 1914, 4851, 924, 4576, 220, 1233, 62, 88, 2, 1], [0, 8, 72, 123, 903, 1397, 1969, 4686, 1254, 4114, 682, 903, 227, 33, 13, 0], [0, 8, 72, 124, 892, 1452, 1804, 5016, 792, 4576, 352, 1068, 172, 44, 12, 0], [0, 8, 72, 125, 881, 1507, 1639, 5346, 330, 5038, 22, 1233, 117, 55, 11, 0], [0, 8, 73, 103, 1055, 759, 3674, 1584, 5214, 550, 2893, 23, 403, 43, 0, 2], [0, 8, 73, 105, 1034, 858, 3399, 2079, 4620, 1012, 2695, 23, 458, 10, 9, 1], [0, 8, 73, 106, 1023, 913, 3234, 2409, 4158, 1474, 2365, 188, 403, 21, 8, 1], [0, 8, 73, 107, 1012, 968, 3069, 2739, 3696, 1936, 2035, 353, 348, 32, 7, 1], [0, 8, 73, 108, 1001, 1023, 2904, 3069, 3234, 2398, 1705, 518, 293, 43, 6, 1], [0, 8, 73, 109, 990, 1078, 2739, 3399, 2772, 2860, 1375, 683, 238, 54, 5, 1], [0, 8, 73, 110, 979, 1133, 2574, 3729, 2310, 3322, 1045, 848, 183, 65, 4, 1], [0, 8, 73, 110, 980, 1122, 2629, 3564, 2640, 2860, 1507, 518, 348, 10, 15, 0], [0, 8, 73, 111, 968, 1188, 2409, 4059, 1848, 3784, 715, 1013, 128, 76, 3, 1], [0, 8, 73, 111, 969, 1177, 2464, 3894, 2178, 3322, 1177, 683, 293, 21, 14, 0], [0, 8, 73, 112, 957, 1243, 2244, 4389, 1386, 4246, 385, 1178, 73, 87, 2, 1], [0, 8, 73, 112, 958, 1232, 2299, 4224, 1716, 3784, 847, 848, 238, 32, 13, 0], [0, 8, 73, 113, 946, 1298, 2079, 4719, 924, 4708, 55, 1343, 18, 98, 1, 1], [0, 8, 73, 113, 947, 1287, 2134, 4554, 1254, 4246, 517, 1013, 183, 43, 12, 0], [0, 8, 73, 114, 936, 1342, 1969, 4884, 792, 4708, 187, 1178, 128, 54, 11, 0], [0, 8, 74, 95, 1078, 748, 3564, 1947, 4620, 1144, 2530, 133, 414, 20, 8, 1], [0, 8, 74, 96, 1067, 803, 3399, 2277, 4158, 1606, 2200, 298, 359, 31, 7, 1], [0, 8, 74, 97, 1056, 858, 3234, 2607, 3696, 2068, 1870, 463, 304, 42, 6, 1], [0, 8, 74, 98, 1045, 913, 3069, 2937, 3234, 2530, 1540, 628, 249, 53, 5, 1], [0, 8, 74, 99, 1034, 968, 2904, 3267, 2772, 2992, 1210, 793, 194, 64, 4, 1], [0, 8, 74, 99, 1035, 957, 2959, 3102, 3102, 2530, 1672, 463, 359, 9, 15, 0], [0, 8, 74, 100, 1023, 1023, 2739, 3597, 2310, 3454, 880, 958, 139, 75, 3, 1], [0, 8, 74, 100, 1024, 1012, 2794, 3432, 2640, 2992, 1342, 628, 304, 20, 14, 0], [0, 8, 74, 101, 1012, 1078, 2574, 3927, 1848, 3916, 550, 1123, 84, 86, 2, 1], [0, 8, 74, 101, 1013, 1067, 2629, 3762, 2178, 3454, 1012, 793, 249, 31, 13, 0], [0, 8, 74, 102, 1001, 1133, 2409, 4257, 1386, 4378, 220, 1288, 29, 97, 1, 1], [0, 8, 74, 102, 1002, 1122, 2464, 4092, 1716, 3916, 682, 958, 194, 42, 12, 0], [0, 8, 74, 103, 991, 1177, 2299, 4422, 1254, 4378, 352, 1123, 139, 53, 11, 0], [0, 8, 74, 104, 980, 1232, 2134, 4752, 792, 4840, 22, 1288, 84, 64, 10, 0], [0, 8, 75, 84, 1133, 583, 3894, 1485, 5082, 814, 2695, 78, 425, 19, 8, 1], [0, 8, 75, 85, 1122, 638, 3729, 1815, 4620, 1276, 2365, 243, 370, 30, 7, 1], [0, 8, 75, 86, 1111, 693, 3564, 2145, 4158, 1738, 2035, 408, 315, 41, 6, 1], [0, 8, 75, 87, 1100, 748, 3399, 2475, 3696, 2200, 1705, 573, 260, 52, 5, 1], [0, 8, 75, 88, 1089, 803, 3234, 2805, 3234, 2662, 1375, 738, 205, 63, 4, 1], [0, 8, 75, 88, 1090, 792, 3289, 2640, 3564, 2200, 1837, 408, 370, 8, 15, 0], [0, 8, 75, 89, 1078, 858, 3069, 3135, 2772, 3124, 1045, 903, 150, 74, 3, 1], [0, 8, 75, 89, 1079, 847, 3124, 2970, 3102, 2662, 1507, 573, 315, 19, 14, 0], [0, 8, 75, 90, 1067, 913, 2904, 3465, 2310, 3586, 715, 1068, 95, 85, 2, 1], [0, 8, 75, 90, 1068, 902, 2959, 3300, 2640, 3124, 1177, 738, 260, 30, 13, 0], [0, 8, 75, 91, 1056, 968, 2739, 3795, 1848, 4048, 385, 1233, 40, 96, 1, 1], [0, 8, 75, 91, 1057, 957, 2794, 3630, 2178, 3586, 847, 903, 205, 41, 12, 0], [0, 8, 75, 92, 1046, 1012, 2629, 3960, 1716, 4048, 517, 1068, 150, 52, 11, 0], [0, 8, 75, 93, 1035, 1067, 2464, 4290, 1254, 4510, 187, 1233, 95, 63, 10, 0], [0, 8, 76, 73, 1188, 418, 4224, 1023, 5544, 484, 2860, 23, 436, 18, 8, 1], [0, 8, 76, 74, 1177, 473, 4059, 1353, 5082, 946, 2530, 188, 381, 29, 7, 1], [0, 8, 76, 75, 1166, 528, 3894, 1683, 4620, 1408, 2200, 353, 326, 40, 6, 1], [0, 8, 76, 76, 1155, 583, 3729, 2013, 4158, 1870, 1870, 518, 271, 51, 5, 1], [0, 8, 76, 77, 1144, 638, 3564, 2343, 3696, 2332, 1540, 683, 216, 62, 4, 1], [0, 8, 76, 77, 1145, 627, 3619, 2178, 4026, 1870, 2002, 353, 381, 7, 15, 0], [0, 8, 76, 78, 1133, 693, 3399, 2673, 3234, 2794, 1210, 848, 161, 73, 3, 1], [0, 8, 76, 78, 1134, 682, 3454, 2508, 3564, 2332, 1672, 518, 326, 18, 14, 0], [0, 8, 76, 79, 1122, 748, 3234, 3003, 2772, 3256, 880, 1013, 106, 84, 2, 1], [0, 8, 76, 79, 1123, 737, 3289, 2838, 3102, 2794, 1342, 683, 271, 29, 13, 0], [0, 8, 76, 80, 1111, 803, 3069, 3333, 2310, 3718, 550, 1178, 51, 95, 1, 1], [0, 8, 76, 80, 1112, 792, 3124, 3168, 2640, 3256, 1012, 848, 216, 40, 12, 0], [0, 8, 76, 81, 1101, 847, 2959, 3498, 2178, 3718, 682, 1013, 161, 51, 11, 0], [0, 8, 76, 82, 1090, 902, 2794, 3828, 1716, 4180, 352, 1178, 106, 62, 10, 0], [0, 8, 76, 83, 1079, 957, 2629, 4158, 1254, 4642, 22, 1343, 51, 73, 9, 0], [0, 8, 77, 63, 1232, 308, 4389, 891, 5544, 616, 2695, 133, 392, 28, 7, 1], [0, 8, 77, 64, 1221, 363, 4224, 1221, 5082, 1078, 2365, 298, 337, 39, 6, 1], [0, 8, 77, 65, 1210, 418, 4059, 1551, 4620, 1540, 2035, 463, 282, 50, 5, 1], [0, 8, 77, 66, 1199, 473, 3894, 1881, 4158, 2002, 1705, 628, 227, 61, 4, 1], [0, 8, 77, 66, 1200, 462, 3949, 1716, 4488, 1540, 2167, 298, 392, 6, 15, 0], [0, 8, 77, 67, 1188, 528, 3729, 2211, 3696, 2464, 1375, 793, 172, 72, 3, 1], [0, 8, 77, 67, 1189, 517, 3784, 2046, 4026, 2002, 1837, 463, 337, 17, 14, 0], [0, 8, 77, 68, 1177, 583, 3564, 2541, 3234, 2926, 1045, 958, 117, 83, 2, 1], [0, 8, 77, 68, 1178, 572, 3619, 2376, 3564, 2464, 1507, 628, 282, 28, 13, 0], [0, 8, 77, 69, 1166, 638, 3399, 2871, 2772, 3388, 715, 1123, 62, 94, 1, 1], [0, 8, 77, 69, 1167, 627, 3454, 2706, 3102, 2926, 1177, 793, 227, 39, 12, 0], [0, 8, 77, 70, 1155, 693, 3234, 3201, 2310, 3850, 385, 1288, 7, 105, 0, 1], [0, 8, 77, 70, 1156, 682, 3289, 3036, 2640, 3388, 847, 958, 172, 50, 11, 0], [0, 8, 77, 71, 1145, 737, 3124, 3366, 2178, 3850, 517, 1123, 117, 61, 10, 0], [0, 8, 77, 72, 1134, 792, 2959, 3696, 1716, 4312, 187, 1288, 62, 72, 9, 0], [0, 8, 78, 52, 1287, 143, 4719, 429, 6006, 286, 2860, 78, 403, 27, 7, 1], [0, 8, 78, 53, 1276, 198, 4554, 759, 5544, 748, 2530, 243, 348, 38, 6, 1], [0, 8, 78, 54, 1265, 253, 4389, 1089, 5082, 1210, 2200, 408, 293, 49, 5, 1], [0, 8, 78, 55, 1254, 308, 4224, 1419, 4620, 1672, 1870, 573, 238, 60, 4, 1], [0, 8, 78, 55, 1255, 297, 4279, 1254, 4950, 1210, 2332, 243, 403, 5, 15, 0], [0, 8, 78, 56, 1243, 363, 4059, 1749, 4158, 2134, 1540, 738, 183, 71, 3, 1], [0, 8, 78, 56, 1244, 352, 4114, 1584, 4488, 1672, 2002, 408, 348, 16, 14, 0], [0, 8, 78, 57, 1232, 418, 3894, 2079, 3696, 2596, 1210, 903, 128, 82, 2, 1], [0, 8, 78, 57, 1233, 407, 3949, 1914, 4026, 2134, 1672, 573, 293, 27, 13, 0], [0, 8, 78, 58, 1221, 473, 3729, 2409, 3234, 3058, 880, 1068, 73, 93, 1, 1], [0, 8, 78, 58, 1222, 462, 3784, 2244, 3564, 2596, 1342, 738, 238, 38, 12, 0], [0, 8, 78, 59, 1210, 528, 3564, 2739, 2772, 3520, 550, 1233, 18, 104, 0, 1], [0, 8, 78, 59, 1211, 517, 3619, 2574, 3102, 3058, 1012, 903, 183, 49, 11, 0], [0, 8, 78, 60, 1200, 572, 3454, 2904, 2640, 3520, 682, 1068, 128, 60, 10, 0], [0, 8, 78, 61, 1189, 627, 3289, 3234, 2178, 3982, 352, 1233, 73, 71, 9, 0], [0, 8, 78, 62, 1178, 682, 3124, 3564, 1716, 4444, 22, 1398, 18, 82, 8, 0], [0, 8, 79, 42, 1331, 33, 4884, 297, 6006, 418, 2695, 188, 359, 37, 6, 1], [0, 8, 79, 43, 1320, 88, 4719, 627, 5544, 880, 2365, 353, 304, 48, 5, 1], [0, 8, 79, 44, 1309, 143, 4554, 957, 5082, 1342, 2035, 518, 249, 59, 4, 1], [0, 8, 79, 44, 1310, 132, 4609, 792, 5412, 880, 2497, 188, 414, 4, 15, 0], [0, 8, 79, 45, 1298, 198, 4389, 1287, 4620, 1804, 1705, 683, 194, 70, 3, 1], [0, 8, 79, 45, 1299, 187, 4444, 1122, 4950, 1342, 2167, 353, 359, 15, 14, 0], [0, 8, 79, 46, 1287, 253, 4224, 1617, 4158, 2266, 1375, 848, 139, 81, 2, 1], [0, 8, 79, 46, 1288, 242, 4279, 1452, 4488, 1804, 1837, 518, 304, 26, 13, 0], [0, 8, 79, 47, 1276, 308, 4059, 1947, 3696, 2728, 1045, 1013, 84, 92, 1, 1], [0, 8, 79, 47, 1277, 297, 4114, 1782, 4026, 2266, 1507, 683, 249, 37, 12, 0], [0, 8, 79, 48, 1265, 363, 3894, 2277, 3234, 3190, 715, 1178, 29, 103, 0, 1], [0, 8, 79, 48, 1266, 352, 3949, 2112, 3564, 2728, 1177, 848, 194, 48, 11, 0], [0, 8, 79, 49, 1255, 407, 3784, 2442, 3102, 3190, 847, 1013, 139, 59, 10, 0], [0, 8, 79, 50, 1244, 462, 3619, 2772, 2640, 3652, 517, 1178, 84, 70, 9, 0], [0, 8, 79, 51, 1233, 517, 3454, 3102, 2178, 4114, 187, 1343, 29, 81, 8, 0], [0, 8, 80, 34, 1353, 33, 4719, 825, 5082, 1474, 1870, 628, 205, 69, 3, 1], [0, 8, 80, 34, 1354, 22, 4774, 660, 5412, 1012, 2332, 298, 370, 14, 14, 0], [0, 8, 80, 35, 1342, 88, 4554, 1155, 4620, 1936, 1540, 793, 150, 80, 2, 1], [0, 8, 80, 35, 1343, 77, 4609, 990, 4950, 1474, 2002, 463, 315, 25, 13, 0], [0, 8, 80, 36, 1331, 143, 4389, 1485, 4158, 2398, 1210, 958, 95, 91, 1, 1], [0, 8, 80, 36, 1332, 132, 4444, 1320, 4488, 1936, 1672, 628, 260, 36, 12, 0], [0, 8, 80, 37, 1320, 198, 4224, 1815, 3696, 2860, 880, 1123, 40, 102, 0, 1], [0, 8, 80, 37, 1321, 187, 4279, 1650, 4026, 2398, 1342, 793, 205, 47, 11, 0], [0, 8, 80, 38, 1310, 242, 4114, 1980, 3564, 2860, 1012, 958, 150, 58, 10, 0], [0, 8, 80, 39, 1299, 297, 3949, 2310, 3102, 3322, 682, 1123, 95, 69, 9, 0], [0, 8, 80, 40, 1288, 352, 3784, 2640, 2640, 3784, 352, 1288, 40, 80, 8, 0], [0, 8, 81, 26, 1375, 33, 4554, 1353, 4158, 2530, 1045, 1068, 51, 101, 0, 1], [0, 8, 81, 26, 1376, 22, 4609, 1188, 4488, 2068, 1507, 738, 216, 46, 11, 0], [0, 8, 81, 27, 1365, 77, 4444, 1518, 4026, 2530, 1177, 903, 161, 57, 10, 0], [0, 8, 81, 28, 1354, 132, 4279, 1848, 3564, 2992, 847, 1068, 106, 68, 9, 0], [0, 8, 81, 29, 1343, 187, 4114, 2178, 3102, 3454, 517, 1233, 51, 79, 8, 0], [0, 8, 82, 18, 1398, 22, 4444, 1716, 3564, 3124, 682, 1178, 62, 78, 8, 0], [0, 8, 82, 19, 1387, 77, 4279, 2046, 3102, 3586, 352, 1343, 7, 89, 7, 0], [0, 9, 51, 276, 318, 2739, 77, 6138, 1188, 2959, 2013, 144, 446, 21, 3, 2], [0, 9, 52, 265, 373, 2574, 407, 5676, 1650, 2629, 2178, 89, 457, 20, 3, 2], [0, 9, 52, 266, 362, 2629, 242, 6006, 1188, 3091, 1848, 254, 402, 31, 2, 2], [0, 9, 52, 267, 351, 2684, 77, 6336, 726, 3553, 1518, 419, 347, 42, 1, 2], [0, 9, 53, 254, 428, 2409, 737, 5214, 2112, 2299, 2343, 34, 468, 19, 3, 2], [0, 9, 53, 255, 417, 2464, 572, 5544, 1650, 2761, 2013, 199, 413, 30, 2, 2], [0, 9, 53, 256, 406, 2519, 407, 5874, 1188, 3223, 1683, 364, 358, 41, 1, 2], [0, 9, 53, 257, 395, 2574, 242, 6204, 726, 3685, 1353, 529, 303, 52, 0, 2], [0, 9, 53, 258, 385, 2618, 132, 6369, 594, 3685, 1485, 364, 413, 8, 10, 1], [0, 9, 54, 244, 472, 2299, 902, 5082, 2112, 2431, 2178, 144, 424, 29, 2, 2], [0, 9, 54, 245, 461, 2354, 737, 5412, 1650, 2893, 1848, 309, 369, 40, 1, 2], [0, 9, 54, 246, 450, 2409, 572, 5742, 1188, 3355, 1518, 474, 314, 51, 0, 2], [0, 9, 54, 247, 440, 2453, 462, 5907, 1056, 3355, 1650, 309, 424, 7, 10, 1], [0, 9, 54, 248, 429, 2508, 297, 6237, 594, 3817, 1320, 474, 369, 18, 9, 1], [0, 9, 54, 249, 418, 2563, 132, 6567, 132, 4279, 990, 639, 314, 29, 8, 1], [0, 9, 55, 233, 527, 2134, 1232, 4620, 2574, 2101, 2343, 89, 435, 28, 2, 2], [0, 9, 55, 234, 516, 2189, 1067, 4950, 2112, 2563, 2013, 254, 380, 39, 1, 2], [0, 9, 55, 235, 505, 2244, 902, 5280, 1650, 3025, 1683, 419, 325, 50, 0, 2], [0, 9, 55, 236, 495, 2288, 792, 5445, 1518, 3025, 1815, 254, 435, 6, 10, 1], [0, 9, 55, 237, 484, 2343, 627, 5775, 1056, 3487, 1485, 419, 380, 17, 9, 1], [0, 9, 55, 238, 473, 2398, 462, 6105, 594, 3949, 1155, 584, 325, 28, 8, 1], [0, 9, 55, 239, 462, 2453, 297, 6435, 132, 4411, 825, 749, 270, 39, 7, 1], [0, 9, 56, 222, 582, 1969, 1562, 4158, 3036, 1771, 2508, 34, 446, 27, 2, 2], [0, 9, 56, 223, 571, 2024, 1397, 4488, 2574, 2233, 2178, 199, 391, 38, 1, 2], [0, 9, 56, 224, 560, 2079, 1232, 4818, 2112, 2695, 1848, 364, 336, 49, 0, 2], [0, 9, 56, 225, 550, 2123, 1122, 4983, 1980, 2695, 1980, 199, 446, 5, 10, 1], [0, 9, 56, 226, 539, 2178, 957, 5313, 1518, 3157, 1650, 364, 391, 16, 9, 1], [0, 9, 56, 227, 528, 2233, 792, 5643, 1056, 3619, 1320, 529, 336, 27, 8, 1], [0, 9, 56, 228, 517, 2288, 627, 5973, 594, 4081, 990, 694, 281, 38, 7, 1], [0, 9, 56, 229, 506, 2343, 462, 6303, 132, 4543, 660, 859, 226, 49, 6, 1], [0, 9, 56, 230, 496, 2387, 352, 6468, 0, 4543, 792, 694, 336, 5, 16, 0], [0, 9, 57, 212, 626, 1859, 1727, 4026, 3036, 1903, 2343, 144, 402, 37, 1, 2], [0, 9, 57, 213, 615, 1914, 1562, 4356, 2574, 2365, 2013, 309, 347, 48, 0, 2], [0, 9, 57, 214, 605, 1958, 1452, 4521, 2442, 2365, 2145, 144, 457, 4, 10, 1], [0, 9, 57, 215, 594, 2013, 1287, 4851, 1980, 2827, 1815, 309, 402, 15, 9, 1], [0, 9, 57, 216, 583, 2068, 1122, 5181, 1518, 3289, 1485, 474, 347, 26, 8, 1], [0, 9, 57, 217, 572, 2123, 957, 5511, 1056, 3751, 1155, 639, 292, 37, 7, 1], [0, 9, 57, 218, 561, 2178, 792, 5841, 594, 4213, 825, 804, 237, 48, 6, 1], [0, 9, 57, 219, 550, 2233, 627, 6171, 132, 4675, 495, 969, 182, 59, 5, 1], [0, 9, 57, 219, 551, 2222, 682, 6006, 462, 4213, 957, 639, 347, 4, 16, 0], [0, 9, 57, 220, 540, 2277, 517, 6336, 0, 4675, 627, 804, 292, 15, 15, 0], [0, 9, 58, 201, 681, 1694, 2057, 3564, 3498, 1573, 2508, 89, 413, 36, 1, 2], [0, 9, 58, 202, 670, 1749, 1892, 3894, 3036, 2035, 2178, 254, 358, 47, 0, 2], [0, 9, 58, 203, 660, 1793, 1782, 4059, 2904, 2035, 2310, 89, 468, 3, 10, 1], [0, 9, 58, 204, 649, 1848, 1617, 4389, 2442, 2497, 1980, 254, 413, 14, 9, 1], [0, 9, 58, 205, 638, 1903, 1452, 4719, 1980, 2959, 1650, 419, 358, 25, 8, 1], [0, 9, 58, 206, 627, 1958, 1287, 5049, 1518, 3421, 1320, 584, 303, 36, 7, 1], [0, 9, 58, 207, 616, 2013, 1122, 5379, 1056, 3883, 990, 749, 248, 47, 6, 1], [0, 9, 58, 208, 605, 2068, 957, 5709, 594, 4345, 660, 914, 193, 58, 5, 1], [0, 9, 58, 208, 606, 2057, 1012, 5544, 924, 3883, 1122, 584, 358, 3, 16, 0], [0, 9, 58, 209, 594, 2123, 792, 6039, 132, 4807, 330, 1079, 138, 69, 4, 1], [0, 9, 58, 209, 595, 2112, 847, 5874, 462, 4345, 792, 749, 303, 14, 15, 0], [0, 9, 58, 210, 584, 2167, 682, 6204, 0, 4807, 462, 914, 248, 25, 14, 0], [0, 9, 59, 190, 736, 1529, 2387, 3102, 3960, 1243, 2673, 34, 424, 35, 1, 2], [0, 9, 59, 191, 725, 1584, 2222, 3432, 3498, 1705, 2343, 199, 369, 46, 0, 2], [0, 9, 59, 192, 715, 1628, 2112, 3597, 3366, 1705, 2475, 34, 479, 2, 10, 1], [0, 9, 59, 193, 704, 1683, 1947, 3927, 2904, 2167, 2145, 199, 424, 13, 9, 1], [0, 9, 59, 194, 693, 1738, 1782, 4257, 2442, 2629, 1815, 364, 369, 24, 8, 1], [0, 9, 59, 195, 682, 1793, 1617, 4587, 1980, 3091, 1485, 529, 314, 35, 7, 1], [0, 9, 59, 196, 671, 1848, 1452, 4917, 1518, 3553, 1155, 694, 259, 46, 6, 1], [0, 9, 59, 197, 660, 1903, 1287, 5247, 1056, 4015, 825, 859, 204, 57, 5, 1], [0, 9, 59, 197, 661, 1892, 1342, 5082, 1386, 3553, 1287, 529, 369, 2, 16, 0], [0, 9, 59, 198, 649, 1958, 1122, 5577, 594, 4477, 495, 1024, 149, 68, 4, 1], [0, 9, 59, 198, 650, 1947, 1177, 5412, 924, 4015, 957, 694, 314, 13, 15, 0], [0, 9, 59, 199, 638, 2013, 957, 5907, 132, 4939, 165, 1189, 94, 79, 3, 1], [0, 9, 59, 199, 639, 2002, 1012, 5742, 462, 4477, 627, 859, 259, 24, 14, 0], [0, 9, 59, 200, 628, 2057, 847, 6072, 0, 4939, 297, 1024, 204, 35, 13, 0], [0, 9, 60, 180, 780, 1419, 2552, 2970, 3960, 1375, 2508, 144, 380, 45, 0, 2], [0, 9, 60, 182, 759, 1518, 2277, 3465, 3366, 1837, 2310, 144, 435, 12, 9, 1], [0, 9, 60, 183, 748, 1573, 2112, 3795, 2904, 2299, 1980, 309, 380, 23, 8, 1], [0, 9, 60, 184, 737, 1628, 1947, 4125, 2442, 2761, 1650, 474, 325, 34, 7, 1], [0, 9, 60, 185, 726, 1683, 1782, 4455, 1980, 3223, 1320, 639, 270, 45, 6, 1], [0, 9, 60, 186, 715, 1738, 1617, 4785, 1518, 3685, 990, 804, 215, 56, 5, 1], [0, 9, 60, 186, 716, 1727, 1672, 4620, 1848, 3223, 1452, 474, 380, 1, 16, 0], [0, 9, 60, 187, 704, 1793, 1452, 5115, 1056, 4147, 660, 969, 160, 67, 4, 1], [0, 9, 60, 187, 705, 1782, 1507, 4950, 1386, 3685, 1122, 639, 325, 12, 15, 0], [0, 9, 60, 188, 693, 1848, 1287, 5445, 594, 4609, 330, 1134, 105, 78, 3, 1], [0, 9, 60, 188, 694, 1837, 1342, 5280, 924, 4147, 792, 804, 270, 23, 14, 0], [0, 9, 60, 189, 682, 1903, 1122, 5775, 132, 5071, 0, 1299, 50, 89, 2, 1], [0, 9, 60, 189, 683, 1892, 1177, 5610, 462, 4609, 462, 969, 215, 34, 13, 0], [0, 9, 60, 190, 672, 1947, 1012, 5940, 0, 5071, 132, 1134, 160, 45, 12, 0], [0, 9, 61, 169, 835, 1254, 2882, 2508, 4422, 1045, 2673, 89, 391, 44, 0, 2], [0, 9, 61, 171, 814, 1353, 2607, 3003, 3828, 1507, 2475, 89, 446, 11, 9, 1], [0, 9, 61, 172, 803, 1408, 2442, 3333, 3366, 1969, 2145, 254, 391, 22, 8, 1], [0, 9, 61, 173, 792, 1463, 2277, 3663, 2904, 2431, 1815, 419, 336, 33, 7, 1], [0, 9, 61, 174, 781, 1518, 2112, 3993, 2442, 2893, 1485, 584, 281, 44, 6, 1], [0, 9, 61, 175, 770, 1573, 1947, 4323, 1980, 3355, 1155, 749, 226, 55, 5, 1], [0, 9, 61, 175, 771, 1562, 2002, 4158, 2310, 2893, 1617, 419, 391, 0, 16, 0], [0, 9, 61, 176, 759, 1628, 1782, 4653, 1518, 3817, 825, 914, 171, 66, 4, 1], [0, 9, 61, 176, 760, 1617, 1837, 4488, 1848, 3355, 1287, 584, 336, 11, 15, 0], [0, 9, 61, 177, 748, 1683, 1617, 4983, 1056, 4279, 495, 1079, 116, 77, 3, 1], [0, 9, 61, 177, 749, 1672, 1672, 4818, 1386, 3817, 957, 749, 281, 22, 14, 0], [0, 9, 61, 178, 737, 1738, 1452, 5313, 594, 4741, 165, 1244, 61, 88, 2, 1], [0, 9, 61, 178, 738, 1727, 1507, 5148, 924, 4279, 627, 914, 226, 33, 13, 0], [0, 9, 61, 179, 727, 1782, 1342, 5478, 462, 4741, 297, 1079, 171, 44, 12, 0], [0, 9, 62, 158, 890, 1089, 3212, 2046, 4884, 715, 2838, 34, 402, 43, 0, 2], [0, 9, 62, 160, 869, 1188, 2937, 2541, 4290, 1177, 2640, 34, 457, 10, 9, 1], [0, 9, 62, 161, 858, 1243, 2772, 2871, 3828, 1639, 2310, 199, 402, 21, 8, 1], [0, 9, 62, 162, 847, 1298, 2607, 3201, 3366, 2101, 1980, 364, 347, 32, 7, 1], [0, 9, 62, 163, 836, 1353, 2442, 3531, 2904, 2563, 1650, 529, 292, 43, 6, 1], [0, 9, 62, 164, 825, 1408, 2277, 3861, 2442, 3025, 1320, 694, 237, 54, 5, 1], [0, 9, 62, 165, 814, 1463, 2112, 4191, 1980, 3487, 990, 859, 182, 65, 4, 1], [0, 9, 62, 165, 815, 1452, 2167, 4026, 2310, 3025, 1452, 529, 347, 10, 15, 0], [0, 9, 62, 166, 803, 1518, 1947, 4521, 1518, 3949, 660, 1024, 127, 76, 3, 1], [0, 9, 62, 166, 804, 1507, 2002, 4356, 1848, 3487, 1122, 694, 292, 21, 14, 0], [0, 9, 62, 167, 792, 1573, 1782, 4851, 1056, 4411, 330, 1189, 72, 87, 2, 1], [0, 9, 62, 167, 793, 1562, 1837, 4686, 1386, 3949, 792, 859, 237, 32, 13, 0], [0, 9, 62, 168, 781, 1628, 1617, 5181, 594, 4873, 0, 1354, 17, 98, 1, 1], [0, 9, 62, 168, 782, 1617, 1672, 5016, 924, 4411, 462, 1024, 182, 43, 12, 0], [0, 9, 62, 169, 771, 1672, 1507, 5346, 462, 4873, 132, 1189, 127, 54, 11, 0], [0, 9, 63, 150, 913, 1078, 3102, 2409, 4290, 1309, 2475, 144, 413, 20, 8, 1], [0, 9, 63, 151, 902, 1133, 2937, 2739, 3828, 1771, 2145, 309, 358, 31, 7, 1], [0, 9, 63, 152, 891, 1188, 2772, 3069, 3366, 2233, 1815, 474, 303, 42, 6, 1], [0, 9, 63, 153, 880, 1243, 2607, 3399, 2904, 2695, 1485, 639, 248, 53, 5, 1], [0, 9, 63, 154, 869, 1298, 2442, 3729, 2442, 3157, 1155, 804, 193, 64, 4, 1], [0, 9, 63, 154, 870, 1287, 2497, 3564, 2772, 2695, 1617, 474, 358, 9, 15, 0], [0, 9, 63, 155, 858, 1353, 2277, 4059, 1980, 3619, 825, 969, 138, 75, 3, 1], [0, 9, 63, 155, 859, 1342, 2332, 3894, 2310, 3157, 1287, 639, 303, 20, 14, 0], [0, 9, 63, 156, 847, 1408, 2112, 4389, 1518, 4081, 495, 1134, 83, 86, 2, 1], [0, 9, 63, 156, 848, 1397, 2167, 4224, 1848, 3619, 957, 804, 248, 31, 13, 0], [0, 9, 63, 157, 836, 1463, 1947, 4719, 1056, 4543, 165, 1299, 28, 97, 1, 1], [0, 9, 63, 157, 837, 1452, 2002, 4554, 1386, 4081, 627, 969, 193, 42, 12, 0], [0, 9, 63, 158, 826, 1507, 1837, 4884, 924, 4543, 297, 1134, 138, 53, 11, 0], [0, 9, 64, 139, 968, 913, 3432, 1947, 4752, 979, 2640, 89, 424, 19, 8, 1], [0, 9, 64, 140, 957, 968, 3267, 2277, 4290, 1441, 2310, 254, 369, 30, 7, 1], [0, 9, 64, 141, 946, 1023, 3102, 2607, 3828, 1903, 1980, 419, 314, 41, 6, 1], [0, 9, 64, 142, 935, 1078, 2937, 2937, 3366, 2365, 1650, 584, 259, 52, 5, 1], [0, 9, 64, 143, 924, 1133, 2772, 3267, 2904, 2827, 1320, 749, 204, 63, 4, 1], [0, 9, 64, 143, 925, 1122, 2827, 3102, 3234, 2365, 1782, 419, 369, 8, 15, 0], [0, 9, 64, 144, 913, 1188, 2607, 3597, 2442, 3289, 990, 914, 149, 74, 3, 1], [0, 9, 64, 144, 914, 1177, 2662, 3432, 2772, 2827, 1452, 584, 314, 19, 14, 0], [0, 9, 64, 145, 902, 1243, 2442, 3927, 1980, 3751, 660, 1079, 94, 85, 2, 1], [0, 9, 64, 145, 903, 1232, 2497, 3762, 2310, 3289, 1122, 749, 259, 30, 13, 0], [0, 9, 64, 146, 891, 1298, 2277, 4257, 1518, 4213, 330, 1244, 39, 96, 1, 1], [0, 9, 64, 146, 892, 1287, 2332, 4092, 1848, 3751, 792, 914, 204, 41, 12, 0], [0, 9, 64, 147, 881, 1342, 2167, 4422, 1386, 4213, 462, 1079, 149, 52, 11, 0], [0, 9, 64, 148, 870, 1397, 2002, 4752, 924, 4675, 132, 1244, 94, 63, 10, 0], [0, 9, 65, 128, 1023, 748, 3762, 1485, 5214, 649, 2805, 34, 435, 18, 8, 1], [0, 9, 65, 129, 1012, 803, 3597, 1815, 4752, 1111, 2475, 199, 380, 29, 7, 1], [0, 9, 65, 130, 1001, 858, 3432, 2145, 4290, 1573, 2145, 364, 325, 40, 6, 1], [0, 9, 65, 131, 990, 913, 3267, 2475, 3828, 2035, 1815, 529, 270, 51, 5, 1], [0, 9, 65, 132, 979, 968, 3102, 2805, 3366, 2497, 1485, 694, 215, 62, 4, 1], [0, 9, 65, 132, 980, 957, 3157, 2640, 3696, 2035, 1947, 364, 380, 7, 15, 0], [0, 9, 65, 133, 968, 1023, 2937, 3135, 2904, 2959, 1155, 859, 160, 73, 3, 1], [0, 9, 65, 133, 969, 1012, 2992, 2970, 3234, 2497, 1617, 529, 325, 18, 14, 0], [0, 9, 65, 134, 957, 1078, 2772, 3465, 2442, 3421, 825, 1024, 105, 84, 2, 1], [0, 9, 65, 134, 958, 1067, 2827, 3300, 2772, 2959, 1287, 694, 270, 29, 13, 0], [0, 9, 65, 135, 946, 1133, 2607, 3795, 1980, 3883, 495, 1189, 50, 95, 1, 1], [0, 9, 65, 135, 947, 1122, 2662, 3630, 2310, 3421, 957, 859, 215, 40, 12, 0], [0, 9, 65, 136, 936, 1177, 2497, 3960, 1848, 3883, 627, 1024, 160, 51, 11, 0], [0, 9, 65, 137, 925, 1232, 2332, 4290, 1386, 4345, 297, 1189, 105, 62, 10, 0], [0, 9, 66, 118, 1067, 638, 3927, 1353, 5214, 781, 2640, 144, 391, 28, 7, 1], [0, 9, 66, 119, 1056, 693, 3762, 1683, 4752, 1243, 2310, 309, 336, 39, 6, 1], [0, 9, 66, 120, 1045, 748, 3597, 2013, 4290, 1705, 1980, 474, 281, 50, 5, 1], [0, 9, 66, 121, 1034, 803, 3432, 2343, 3828, 2167, 1650, 639, 226, 61, 4, 1], [0, 9, 66, 121, 1035, 792, 3487, 2178, 4158, 1705, 2112, 309, 391, 6, 15, 0], [0, 9, 66, 122, 1023, 858, 3267, 2673, 3366, 2629, 1320, 804, 171, 72, 3, 1], [0, 9, 66, 122, 1024, 847, 3322, 2508, 3696, 2167, 1782, 474, 336, 17, 14, 0], [0, 9, 66, 123, 1012, 913, 3102, 3003, 2904, 3091, 990, 969, 116, 83, 2, 1], [0, 9, 66, 123, 1013, 902, 3157, 2838, 3234, 2629, 1452, 639, 281, 28, 13, 0], [0, 9, 66, 124, 1001, 968, 2937, 3333, 2442, 3553, 660, 1134, 61, 94, 1, 1], [0, 9, 66, 124, 1002, 957, 2992, 3168, 2772, 3091, 1122, 804, 226, 39, 12, 0], [0, 9, 66, 125, 990, 1023, 2772, 3663, 1980, 4015, 330, 1299, 6, 105, 0, 1], [0, 9, 66, 125, 991, 1012, 2827, 3498, 2310, 3553, 792, 969, 171, 50, 11, 0], [0, 9, 66, 126, 980, 1067, 2662, 3828, 1848, 4015, 462, 1134, 116, 61, 10, 0], [0, 9, 66, 127, 969, 1122, 2497, 4158, 1386, 4477, 132, 1299, 61, 72, 9, 0], [0, 9, 67, 107, 1122, 473, 4257, 891, 5676, 451, 2805, 89, 402, 27, 7, 1], [0, 9, 67, 108, 1111, 528, 4092, 1221, 5214, 913, 2475, 254, 347, 38, 6, 1], [0, 9, 67, 109, 1100, 583, 3927, 1551, 4752, 1375, 2145, 419, 292, 49, 5, 1], [0, 9, 67, 110, 1089, 638, 3762, 1881, 4290, 1837, 1815, 584, 237, 60, 4, 1], [0, 9, 67, 110, 1090, 627, 3817, 1716, 4620, 1375, 2277, 254, 402, 5, 15, 0], [0, 9, 67, 111, 1078, 693, 3597, 2211, 3828, 2299, 1485, 749, 182, 71, 3, 1], [0, 9, 67, 111, 1079, 682, 3652, 2046, 4158, 1837, 1947, 419, 347, 16, 14, 0], [0, 9, 67, 112, 1067, 748, 3432, 2541, 3366, 2761, 1155, 914, 127, 82, 2, 1], [0, 9, 67, 112, 1068, 737, 3487, 2376, 3696, 2299, 1617, 584, 292, 27, 13, 0], [0, 9, 67, 113, 1056, 803, 3267, 2871, 2904, 3223, 825, 1079, 72, 93, 1, 1], [0, 9, 67, 113, 1057, 792, 3322, 2706, 3234, 2761, 1287, 749, 237, 38, 12, 0], [0, 9, 67, 114, 1045, 858, 3102, 3201, 2442, 3685, 495, 1244, 17, 104, 0, 1], [0, 9, 67, 114, 1046, 847, 3157, 3036, 2772, 3223, 957, 914, 182, 49, 11, 0], [0, 9, 67, 115, 1035, 902, 2992, 3366, 2310, 3685, 627, 1079, 127, 60, 10, 0], [0, 9, 67, 116, 1024, 957, 2827, 3696, 1848, 4147, 297, 1244, 72, 71, 9, 0], [0, 9, 68, 96, 1177, 308, 4587, 429, 6138, 121, 2970, 34, 413, 26, 7, 1], [0, 9, 68, 97, 1166, 363, 4422, 759, 5676, 583, 2640, 199, 358, 37, 6, 1], [0, 9, 68, 98, 1155, 418, 4257, 1089, 5214, 1045, 2310, 364, 303, 48, 5, 1], [0, 9, 68, 99, 1144, 473, 4092, 1419, 4752, 1507, 1980, 529, 248, 59, 4, 1], [0, 9, 68, 99, 1145, 462, 4147, 1254, 5082, 1045, 2442, 199, 413, 4, 15, 0], [0, 9, 68, 100, 1133, 528, 3927, 1749, 4290, 1969, 1650, 694, 193, 70, 3, 1], [0, 9, 68, 100, 1134, 517, 3982, 1584, 4620, 1507, 2112, 364, 358, 15, 14, 0], [0, 9, 68, 101, 1122, 583, 3762, 2079, 3828, 2431, 1320, 859, 138, 81, 2, 1], [0, 9, 68, 101, 1123, 572, 3817, 1914, 4158, 1969, 1782, 529, 303, 26, 13, 0], [0, 9, 68, 102, 1111, 638, 3597, 2409, 3366, 2893, 990, 1024, 83, 92, 1, 1], [0, 9, 68, 102, 1112, 627, 3652, 2244, 3696, 2431, 1452, 694, 248, 37, 12, 0], [0, 9, 68, 103, 1100, 693, 3432, 2739, 2904, 3355, 660, 1189, 28, 103, 0, 1], [0, 9, 68, 103, 1101, 682, 3487, 2574, 3234, 2893, 1122, 859, 193, 48, 11, 0], [0, 9, 68, 104, 1090, 737, 3322, 2904, 2772, 3355, 792, 1024, 138, 59, 10, 0], [0, 9, 68, 105, 1079, 792, 3157, 3234, 2310, 3817, 462, 1189, 83, 70, 9, 0], [0, 9, 68, 106, 1068, 847, 2992, 3564, 1848, 4279, 132, 1354, 28, 81, 8, 0], [0, 9, 69, 86, 1221, 198, 4752, 297, 6138, 253, 2805, 144, 369, 36, 6, 1], [0, 9, 69, 87, 1210, 253, 4587, 627, 5676, 715, 2475, 309, 314, 47, 5, 1], [0, 9, 69, 88, 1199, 308, 4422, 957, 5214, 1177, 2145, 474, 259, 58, 4, 1], [0, 9, 69, 88, 1200, 297, 4477, 792, 5544, 715, 2607, 144, 424, 3, 15, 0], [0, 9, 69, 89, 1188, 363, 4257, 1287, 4752, 1639, 1815, 639, 204, 69, 3, 1], [0, 9, 69, 89, 1189, 352, 4312, 1122, 5082, 1177, 2277, 309, 369, 14, 14, 0], [0, 9, 69, 90, 1177, 418, 4092, 1617, 4290, 2101, 1485, 804, 149, 80, 2, 1], [0, 9, 69, 90, 1178, 407, 4147, 1452, 4620, 1639, 1947, 474, 314, 25, 13, 0], [0, 9, 69, 91, 1166, 473, 3927, 1947, 3828, 2563, 1155, 969, 94, 91, 1, 1], [0, 9, 69, 91, 1167, 462, 3982, 1782, 4158, 2101, 1617, 639, 259, 36, 12, 0], [0, 9, 69, 92, 1155, 528, 3762, 2277, 3366, 3025, 825, 1134, 39, 102, 0, 1], [0, 9, 69, 92, 1156, 517, 3817, 2112, 3696, 2563, 1287, 804, 204, 47, 11, 0], [0, 9, 69, 93, 1145, 572, 3652, 2442, 3234, 3025, 957, 969, 149, 58, 10, 0], [0, 9, 69, 94, 1134, 627, 3487, 2772, 2772, 3487, 627, 1134, 94, 69, 9, 0], [0, 9, 69, 95, 1123, 682, 3322, 3102, 2310, 3949, 297, 1299, 39, 80, 8, 0], [0, 9, 70, 76, 1265, 88, 4917, 165, 6138, 385, 2640, 254, 325, 46, 5, 1], [0, 9, 70, 77, 1254, 143, 4752, 495, 5676, 847, 2310, 419, 270, 57, 4, 1], [0, 9, 70, 77, 1255, 132, 4807, 330, 6006, 385, 2772, 89, 435, 2, 15, 0], [0, 9, 70, 78, 1243, 198, 4587, 825, 5214, 1309, 1980, 584, 215, 68, 3, 1], [0, 9, 70, 78, 1244, 187, 4642, 660, 5544, 847, 2442, 254, 380, 13, 14, 0], [0, 9, 70, 79, 1232, 253, 4422, 1155, 4752, 1771, 1650, 749, 160, 79, 2, 1], [0, 9, 70, 79, 1233, 242, 4477, 990, 5082, 1309, 2112, 419, 325, 24, 13, 0], [0, 9, 70, 80, 1221, 308, 4257, 1485, 4290, 2233, 1320, 914, 105, 90, 1, 1], [0, 9, 70, 80, 1222, 297, 4312, 1320, 4620, 1771, 1782, 584, 270, 35, 12, 0], [0, 9, 70, 81, 1210, 363, 4092, 1815, 3828, 2695, 990, 1079, 50, 101, 0, 1], [0, 9, 70, 81, 1211, 352, 4147, 1650, 4158, 2233, 1452, 749, 215, 46, 11, 0], [0, 9, 70, 82, 1200, 407, 3982, 1980, 3696, 2695, 1122, 914, 160, 57, 10, 0], [0, 9, 70, 83, 1189, 462, 3817, 2310, 3234, 3157, 792, 1079, 105, 68, 9, 0], [0, 9, 70, 84, 1178, 517, 3652, 2640, 2772, 3619, 462, 1244, 50, 79, 8, 0], [0, 9, 71, 67, 1298, 33, 4917, 363, 5676, 979, 2145, 529, 226, 67, 3, 1], [0, 9, 71, 67, 1299, 22, 4972, 198, 6006, 517, 2607, 199, 391, 12, 14, 0], [0, 9, 71, 68, 1287, 88, 4752, 693, 5214, 1441, 1815, 694, 171, 78, 2, 1], [0, 9, 71, 68, 1288, 77, 4807, 528, 5544, 979, 2277, 364, 336, 23, 13, 0], [0, 9, 71, 69, 1276, 143, 4587, 1023, 4752, 1903, 1485, 859, 116, 89, 1, 1], [0, 9, 71, 69, 1277, 132, 4642, 858, 5082, 1441, 1947, 529, 281, 34, 12, 0], [0, 9, 71, 70, 1265, 198, 4422, 1353, 4290, 2365, 1155, 1024, 61, 100, 0, 1], [0, 9, 71, 70, 1266, 187, 4477, 1188, 4620, 1903, 1617, 694, 226, 45, 11, 0], [0, 9, 71, 71, 1255, 242, 4312, 1518, 4158, 2365, 1287, 859, 171, 56, 10, 0], [0, 9, 71, 72, 1244, 297, 4147, 1848, 3696, 2827, 957, 1024, 116, 67, 9, 0], [0, 9, 71, 73, 1233, 352, 3982, 2178, 3234, 3289, 627, 1189, 61, 78, 8, 0], [0, 9, 71, 74, 1222, 407, 3817, 2508, 2772, 3751, 297, 1354, 6, 89, 7, 0], [0, 9, 72, 59, 1320, 33, 4752, 891, 4752, 2035, 1320, 969, 72, 99, 0, 1], [0, 9, 72, 59, 1321, 22, 4807, 726, 5082, 1573, 1782, 639, 237, 44, 11, 0], [0, 9, 72, 60, 1310, 77, 4642, 1056, 4620, 2035, 1452, 804, 182, 55, 10, 0], [0, 9, 72, 61, 1299, 132, 4477, 1386, 4158, 2497, 1122, 969, 127, 66, 9, 0], [0, 9, 72, 62, 1288, 187, 4312, 1716, 3696, 2959, 792, 1134, 72, 77, 8, 0], [0, 9, 72, 63, 1277, 242, 4147, 2046, 3234, 3421, 462, 1299, 17, 88, 7, 0], [0, 9, 73, 51, 1343, 22, 4642, 1254, 4158, 2629, 957, 1079, 83, 76, 8, 0], [0, 9, 73, 52, 1332, 77, 4477, 1584, 3696, 3091, 627, 1244, 28, 87, 7, 0], [0, 10, 42, 309, 263, 2739, 275, 5676, 1782, 2464, 2288, 45, 467, 19, 3, 2], [0, 10, 42, 310, 252, 2794, 110, 6006, 1320, 2926, 1958, 210, 412, 30, 2, 2], [0, 10, 43, 299, 307, 2629, 440, 5544, 1782, 2596, 2123, 155, 423, 29, 2, 2], [0, 10, 43, 300, 296, 2684, 275, 5874, 1320, 3058, 1793, 320, 368, 40, 1, 2], [0, 10, 43, 301, 285, 2739, 110, 6204, 858, 3520, 1463, 485, 313, 51, 0, 2], [0, 10, 43, 302, 275, 2783, 0, 6369, 726, 3520, 1595, 320, 423, 7, 10, 1], [0, 10, 44, 288, 362, 2464, 770, 5082, 2244, 2266, 2288, 100, 434, 28, 2, 2], [0, 10, 44, 289, 351, 2519, 605, 5412, 1782, 2728, 1958, 265, 379, 39, 1, 2], [0, 10, 44, 290, 340, 2574, 440, 5742, 1320, 3190, 1628, 430, 324, 50, 0, 2], [0, 10, 44, 291, 330, 2618, 330, 5907, 1188, 3190, 1760, 265, 434, 6, 10, 1], [0, 10, 44, 292, 319, 2673, 165, 6237, 726, 3652, 1430, 430, 379, 17, 9, 1], [0, 10, 44, 293, 308, 2728, 0, 6567, 264, 4114, 1100, 595, 324, 28, 8, 1], [0, 10, 45, 277, 417, 2299, 1100, 4620, 2706, 1936, 2453, 45, 445, 27, 2, 2], [0, 10, 45, 278, 406, 2354, 935, 4950, 2244, 2398, 2123, 210, 390, 38, 1, 2], [0, 10, 45, 279, 395, 2409, 770, 5280, 1782, 2860, 1793, 375, 335, 49, 0, 2], [0, 10, 45, 280, 385, 2453, 660, 5445, 1650, 2860, 1925, 210, 445, 5, 10, 1], [0, 10, 45, 281, 374, 2508, 495, 5775, 1188, 3322, 1595, 375, 390, 16, 9, 1], [0, 10, 45, 282, 363, 2563, 330, 6105, 726, 3784, 1265, 540, 335, 27, 8, 1], [0, 10, 45, 283, 352, 2618, 165, 6435, 264, 4246, 935, 705, 280, 38, 7, 1], [0, 10, 46, 267, 461, 2189, 1265, 4488, 2706, 2068, 2288, 155, 401, 37, 1, 2], [0, 10, 46, 268, 450, 2244, 1100, 4818, 2244, 2530, 1958, 320, 346, 48, 0, 2], [0, 10, 46, 269, 440, 2288, 990, 4983, 2112, 2530, 2090, 155, 456, 4, 10, 1], [0, 10, 46, 270, 429, 2343, 825, 5313, 1650, 2992, 1760, 320, 401, 15, 9, 1], [0, 10, 46, 271, 418, 2398, 660, 5643, 1188, 3454, 1430, 485, 346, 26, 8, 1], [0, 10, 46, 272, 407, 2453, 495, 5973, 726, 3916, 1100, 650, 291, 37, 7, 1], [0, 10, 46, 273, 396, 2508, 330, 6303, 264, 4378, 770, 815, 236, 48, 6, 1], [0, 10, 46, 274, 386, 2552, 220, 6468, 132, 4378, 902, 650, 346, 4, 16, 0], [0, 10, 47, 256, 516, 2024, 1595, 4026, 3168, 1738, 2453, 100, 412, 36, 1, 2], [0, 10, 47, 257, 505, 2079, 1430, 4356, 2706, 2200, 2123, 265, 357, 47, 0, 2], [0, 10, 47, 258, 495, 2123, 1320, 4521, 2574, 2200, 2255, 100, 467, 3, 10, 1], [0, 10, 47, 259, 484, 2178, 1155, 4851, 2112, 2662, 1925, 265, 412, 14, 9, 1], [0, 10, 47, 260, 473, 2233, 990, 5181, 1650, 3124, 1595, 430, 357, 25, 8, 1], [0, 10, 47, 261, 462, 2288, 825, 5511, 1188, 3586, 1265, 595, 302, 36, 7, 1], [0, 10, 47, 262, 451, 2343, 660, 5841, 726, 4048, 935, 760, 247, 47, 6, 1], [0, 10, 47, 263, 440, 2398, 495, 6171, 264, 4510, 605, 925, 192, 58, 5, 1], [0, 10, 47, 263, 441, 2387, 550, 6006, 594, 4048, 1067, 595, 357, 3, 16, 0], [0, 10, 47, 264, 430, 2442, 385, 6336, 132, 4510, 737, 760, 302, 14, 15, 0], [0, 10, 48, 245, 571, 1859, 1925, 3564, 3630, 1408, 2618, 45, 423, 35, 1, 2], [0, 10, 48, 246, 560, 1914, 1760, 3894, 3168, 1870, 2288, 210, 368, 46, 0, 2], [0, 10, 48, 247, 550, 1958, 1650, 4059, 3036, 1870, 2420, 45, 478, 2, 10, 1], [0, 10, 48, 248, 539, 2013, 1485, 4389, 2574, 2332, 2090, 210, 423, 13, 9, 1], [0, 10, 48, 249, 528, 2068, 1320, 4719, 2112, 2794, 1760, 375, 368, 24, 8, 1], [0, 10, 48, 250, 517, 2123, 1155, 5049, 1650, 3256, 1430, 540, 313, 35, 7, 1], [0, 10, 48, 251, 506, 2178, 990, 5379, 1188, 3718, 1100, 705, 258, 46, 6, 1], [0, 10, 48, 252, 495, 2233, 825, 5709, 726, 4180, 770, 870, 203, 57, 5, 1], [0, 10, 48, 252, 496, 2222, 880, 5544, 1056, 3718, 1232, 540, 368, 2, 16, 0], [0, 10, 48, 253, 484, 2288, 660, 6039, 264, 4642, 440, 1035, 148, 68, 4, 1], [0, 10, 48, 253, 485, 2277, 715, 5874, 594, 4180, 902, 705, 313, 13, 15, 0], [0, 10, 48, 254, 474, 2332, 550, 6204, 132, 4642, 572, 870, 258, 24, 14, 0], [0, 10, 49, 235, 615, 1749, 2090, 3432, 3630, 1540, 2453, 155, 379, 45, 0, 2], [0, 10, 49, 237, 594, 1848, 1815, 3927, 3036, 2002, 2255, 155, 434, 12, 9, 1], [0, 10, 49, 238, 583, 1903, 1650, 4257, 2574, 2464, 1925, 320, 379, 23, 8, 1], [0, 10, 49, 239, 572, 1958, 1485, 4587, 2112, 2926, 1595, 485, 324, 34, 7, 1], [0, 10, 49, 240, 561, 2013, 1320, 4917, 1650, 3388, 1265, 650, 269, 45, 6, 1], [0, 10, 49, 241, 550, 2068, 1155, 5247, 1188, 3850, 935, 815, 214, 56, 5, 1], [0, 10, 49, 241, 551, 2057, 1210, 5082, 1518, 3388, 1397, 485, 379, 1, 16, 0], [0, 10, 49, 242, 539, 2123, 990, 5577, 726, 4312, 605, 980, 159, 67, 4, 1], [0, 10, 49, 242, 540, 2112, 1045, 5412, 1056, 3850, 1067, 650, 324, 12, 15, 0], [0, 10, 49, 243, 528, 2178, 825, 5907, 264, 4774, 275, 1145, 104, 78, 3, 1], [0, 10, 49, 243, 529, 2167, 880, 5742, 594, 4312, 737, 815, 269, 23, 14, 0], [0, 10, 49, 244, 518, 2222, 715, 6072, 132, 4774, 407, 980, 214, 34, 13, 0], [0, 10, 50, 224, 670, 1584, 2420, 2970, 4092, 1210, 2618, 100, 390, 44, 0, 2], [0, 10, 50, 226, 649, 1683, 2145, 3465, 3498, 1672, 2420, 100, 445, 11, 9, 1], [0, 10, 50, 227, 638, 1738, 1980, 3795, 3036, 2134, 2090, 265, 390, 22, 8, 1], [0, 10, 50, 228, 627, 1793, 1815, 4125, 2574, 2596, 1760, 430, 335, 33, 7, 1], [0, 10, 50, 229, 616, 1848, 1650, 4455, 2112, 3058, 1430, 595, 280, 44, 6, 1], [0, 10, 50, 230, 605, 1903, 1485, 4785, 1650, 3520, 1100, 760, 225, 55, 5, 1], [0, 10, 50, 230, 606, 1892, 1540, 4620, 1980, 3058, 1562, 430, 390, 0, 16, 0], [0, 10, 50, 231, 594, 1958, 1320, 5115, 1188, 3982, 770, 925, 170, 66, 4, 1], [0, 10, 50, 231, 595, 1947, 1375, 4950, 1518, 3520, 1232, 595, 335, 11, 15, 0], [0, 10, 50, 232, 583, 2013, 1155, 5445, 726, 4444, 440, 1090, 115, 77, 3, 1], [0, 10, 50, 232, 584, 2002, 1210, 5280, 1056, 3982, 902, 760, 280, 22, 14, 0], [0, 10, 50, 233, 572, 2068, 990, 5775, 264, 4906, 110, 1255, 60, 88, 2, 1], [0, 10, 50, 233, 573, 2057, 1045, 5610, 594, 4444, 572, 925, 225, 33, 13, 0], [0, 10, 50, 234, 562, 2112, 880, 5940, 132, 4906, 242, 1090, 170, 44, 12, 0], [0, 10, 51, 213, 725, 1419, 2750, 2508, 4554, 880, 2783, 45, 401, 43, 0, 2], [0, 10, 51, 215, 704, 1518, 2475, 3003, 3960, 1342, 2585, 45, 456, 10, 9, 1], [0, 10, 51, 216, 693, 1573, 2310, 3333, 3498, 1804, 2255, 210, 401, 21, 8, 1], [0, 10, 51, 217, 682, 1628, 2145, 3663, 3036, 2266, 1925, 375, 346, 32, 7, 1], [0, 10, 51, 218, 671, 1683, 1980, 3993, 2574, 2728, 1595, 540, 291, 43, 6, 1], [0, 10, 51, 219, 660, 1738, 1815, 4323, 2112, 3190, 1265, 705, 236, 54, 5, 1], [0, 10, 51, 220, 649, 1793, 1650, 4653, 1650, 3652, 935, 870, 181, 65, 4, 1], [0, 10, 51, 220, 650, 1782, 1705, 4488, 1980, 3190, 1397, 540, 346, 10, 15, 0], [0, 10, 51, 221, 638, 1848, 1485, 4983, 1188, 4114, 605, 1035, 126, 76, 3, 1], [0, 10, 51, 221, 639, 1837, 1540, 4818, 1518, 3652, 1067, 705, 291, 21, 14, 0], [0, 10, 51, 222, 627, 1903, 1320, 5313, 726, 4576, 275, 1200, 71, 87, 2, 1], [0, 10, 51, 222, 628, 1892, 1375, 5148, 1056, 4114, 737, 870, 236, 32, 13, 0], [0, 10, 51, 223, 617, 1947, 1210, 5478, 594, 4576, 407, 1035, 181, 43, 12, 0], [0, 10, 51, 224, 606, 2002, 1045, 5808, 132, 5038, 77, 1200, 126, 54, 11, 0], [0, 10, 52, 205, 748, 1408, 2640, 2871, 3960, 1474, 2420, 155, 412, 20, 8, 1], [0, 10, 52, 206, 737, 1463, 2475, 3201, 3498, 1936, 2090, 320, 357, 31, 7, 1], [0, 10, 52, 207, 726, 1518, 2310, 3531, 3036, 2398, 1760, 485, 302, 42, 6, 1], [0, 10, 52, 208, 715, 1573, 2145, 3861, 2574, 2860, 1430, 650, 247, 53, 5, 1], [0, 10, 52, 209, 704, 1628, 1980, 4191, 2112, 3322, 1100, 815, 192, 64, 4, 1], [0, 10, 52, 209, 705, 1617, 2035, 4026, 2442, 2860, 1562, 485, 357, 9, 15, 0], [0, 10, 52, 210, 693, 1683, 1815, 4521, 1650, 3784, 770, 980, 137, 75, 3, 1], [0, 10, 52, 210, 694, 1672, 1870, 4356, 1980, 3322, 1232, 650, 302, 20, 14, 0], [0, 10, 52, 211, 682, 1738, 1650, 4851, 1188, 4246, 440, 1145, 82, 86, 2, 1], [0, 10, 52, 211, 683, 1727, 1705, 4686, 1518, 3784, 902, 815, 247, 31, 13, 0], [0, 10, 52, 212, 671, 1793, 1485, 5181, 726, 4708, 110, 1310, 27, 97, 1, 1], [0, 10, 52, 212, 672, 1782, 1540, 5016, 1056, 4246, 572, 980, 192, 42, 12, 0], [0, 10, 52, 213, 661, 1837, 1375, 5346, 594, 4708, 242, 1145, 137, 53, 11, 0], [0, 10, 53, 194, 803, 1243, 2970, 2409, 4422, 1144, 2585, 100, 423, 19, 8, 1], [0, 10, 53, 195, 792, 1298, 2805, 2739, 3960, 1606, 2255, 265, 368, 30, 7, 1], [0, 10, 53, 196, 781, 1353, 2640, 3069, 3498, 2068, 1925, 430, 313, 41, 6, 1], [0, 10, 53, 197, 770, 1408, 2475, 3399, 3036, 2530, 1595, 595, 258, 52, 5, 1], [0, 10, 53, 198, 759, 1463, 2310, 3729, 2574, 2992, 1265, 760, 203, 63, 4, 1], [0, 10, 53, 198, 760, 1452, 2365, 3564, 2904, 2530, 1727, 430, 368, 8, 15, 0], [0, 10, 53, 199, 748, 1518, 2145, 4059, 2112, 3454, 935, 925, 148, 74, 3, 1], [0, 10, 53, 199, 749, 1507, 2200, 3894, 2442, 2992, 1397, 595, 313, 19, 14, 0], [0, 10, 53, 200, 737, 1573, 1980, 4389, 1650, 3916, 605, 1090, 93, 85, 2, 1], [0, 10, 53, 200, 738, 1562, 2035, 4224, 1980, 3454, 1067, 760, 258, 30, 13, 0], [0, 10, 53, 201, 726, 1628, 1815, 4719, 1188, 4378, 275, 1255, 38, 96, 1, 1], [0, 10, 53, 201, 727, 1617, 1870, 4554, 1518, 3916, 737, 925, 203, 41, 12, 0], [0, 10, 53, 202, 716, 1672, 1705, 4884, 1056, 4378, 407, 1090, 148, 52, 11, 0], [0, 10, 53, 203, 705, 1727, 1540, 5214, 594, 4840, 77, 1255, 93, 63, 10, 0], [0, 10, 54, 183, 858, 1078, 3300, 1947, 4884, 814, 2750, 45, 434, 18, 8, 1], [0, 10, 54, 184, 847, 1133, 3135, 2277, 4422, 1276, 2420, 210, 379, 29, 7, 1], [0, 10, 54, 185, 836, 1188, 2970, 2607, 3960, 1738, 2090, 375, 324, 40, 6, 1], [0, 10, 54, 186, 825, 1243, 2805, 2937, 3498, 2200, 1760, 540, 269, 51, 5, 1], [0, 10, 54, 187, 814, 1298, 2640, 3267, 3036, 2662, 1430, 705, 214, 62, 4, 1], [0, 10, 54, 187, 815, 1287, 2695, 3102, 3366, 2200, 1892, 375, 379, 7, 15, 0], [0, 10, 54, 188, 803, 1353, 2475, 3597, 2574, 3124, 1100, 870, 159, 73, 3, 1], [0, 10, 54, 188, 804, 1342, 2530, 3432, 2904, 2662, 1562, 540, 324, 18, 14, 0], [0, 10, 54, 189, 792, 1408, 2310, 3927, 2112, 3586, 770, 1035, 104, 84, 2, 1], [0, 10, 54, 189, 793, 1397, 2365, 3762, 2442, 3124, 1232, 705, 269, 29, 13, 0], [0, 10, 54, 190, 781, 1463, 2145, 4257, 1650, 4048, 440, 1200, 49, 95, 1, 1], [0, 10, 54, 190, 782, 1452, 2200, 4092, 1980, 3586, 902, 870, 214, 40, 12, 0], [0, 10, 54, 191, 771, 1507, 2035, 4422, 1518, 4048, 572, 1035, 159, 51, 11, 0], [0, 10, 54, 192, 760, 1562, 1870, 4752, 1056, 4510, 242, 1200, 104, 62, 10, 0], [0, 10, 55, 173, 902, 968, 3465, 1815, 4884, 946, 2585, 155, 390, 28, 7, 1], [0, 10, 55, 174, 891, 1023, 3300, 2145, 4422, 1408, 2255, 320, 335, 39, 6, 1], [0, 10, 55, 175, 880, 1078, 3135, 2475, 3960, 1870, 1925, 485, 280, 50, 5, 1], [0, 10, 55, 176, 869, 1133, 2970, 2805, 3498, 2332, 1595, 650, 225, 61, 4, 1], [0, 10, 55, 176, 870, 1122, 3025, 2640, 3828, 1870, 2057, 320, 390, 6, 15, 0], [0, 10, 55, 177, 858, 1188, 2805, 3135, 3036, 2794, 1265, 815, 170, 72, 3, 1], [0, 10, 55, 177, 859, 1177, 2860, 2970, 3366, 2332, 1727, 485, 335, 17, 14, 0], [0, 10, 55, 178, 847, 1243, 2640, 3465, 2574, 3256, 935, 980, 115, 83, 2, 1], [0, 10, 55, 178, 848, 1232, 2695, 3300, 2904, 2794, 1397, 650, 280, 28, 13, 0], [0, 10, 55, 179, 836, 1298, 2475, 3795, 2112, 3718, 605, 1145, 60, 94, 1, 1], [0, 10, 55, 179, 837, 1287, 2530, 3630, 2442, 3256, 1067, 815, 225, 39, 12, 0], [0, 10, 55, 180, 825, 1353, 2310, 4125, 1650, 4180, 275, 1310, 5, 105, 0, 1], [0, 10, 55, 180, 826, 1342, 2365, 3960, 1980, 3718, 737, 980, 170, 50, 11, 0], [0, 10, 55, 181, 815, 1397, 2200, 4290, 1518, 4180, 407, 1145, 115, 61, 10, 0], [0, 10, 55, 182, 804, 1452, 2035, 4620, 1056, 4642, 77, 1310, 60, 72, 9, 0], [0, 10, 56, 162, 957, 803, 3795, 1353, 5346, 616, 2750, 100, 401, 27, 7, 1], [0, 10, 56, 163, 946, 858, 3630, 1683, 4884, 1078, 2420, 265, 346, 38, 6, 1], [0, 10, 56, 164, 935, 913, 3465, 2013, 4422, 1540, 2090, 430, 291, 49, 5, 1], [0, 10, 56, 165, 924, 968, 3300, 2343, 3960, 2002, 1760, 595, 236, 60, 4, 1], [0, 10, 56, 165, 925, 957, 3355, 2178, 4290, 1540, 2222, 265, 401, 5, 15, 0], [0, 10, 56, 166, 913, 1023, 3135, 2673, 3498, 2464, 1430, 760, 181, 71, 3, 1], [0, 10, 56, 166, 914, 1012, 3190, 2508, 3828, 2002, 1892, 430, 346, 16, 14, 0], [0, 10, 56, 167, 902, 1078, 2970, 3003, 3036, 2926, 1100, 925, 126, 82, 2, 1], [0, 10, 56, 167, 903, 1067, 3025, 2838, 3366, 2464, 1562, 595, 291, 27, 13, 0], [0, 10, 56, 168, 891, 1133, 2805, 3333, 2574, 3388, 770, 1090, 71, 93, 1, 1], [0, 10, 56, 168, 892, 1122, 2860, 3168, 2904, 2926, 1232, 760, 236, 38, 12, 0], [0, 10, 56, 169, 880, 1188, 2640, 3663, 2112, 3850, 440, 1255, 16, 104, 0, 1], [0, 10, 56, 169, 881, 1177, 2695, 3498, 2442, 3388, 902, 925, 181, 49, 11, 0], [0, 10, 56, 170, 870, 1232, 2530, 3828, 1980, 3850, 572, 1090, 126, 60, 10, 0], [0, 10, 56, 171, 859, 1287, 2365, 4158, 1518, 4312, 242, 1255, 71, 71, 9, 0], [0, 10, 57, 151, 1012, 638, 4125, 891, 5808, 286, 2915, 45, 412, 26, 7, 1], [0, 10, 57, 152, 1001, 693, 3960, 1221, 5346, 748, 2585, 210, 357, 37, 6, 1], [0, 10, 57, 153, 990, 748, 3795, 1551, 4884, 1210, 2255, 375, 302, 48, 5, 1], [0, 10, 57, 154, 979, 803, 3630, 1881, 4422, 1672, 1925, 540, 247, 59, 4, 1], [0, 10, 57, 154, 980, 792, 3685, 1716, 4752, 1210, 2387, 210, 412, 4, 15, 0], [0, 10, 57, 155, 968, 858, 3465, 2211, 3960, 2134, 1595, 705, 192, 70, 3, 1], [0, 10, 57, 155, 969, 847, 3520, 2046, 4290, 1672, 2057, 375, 357, 15, 14, 0], [0, 10, 57, 156, 957, 913, 3300, 2541, 3498, 2596, 1265, 870, 137, 81, 2, 1], [0, 10, 57, 156, 958, 902, 3355, 2376, 3828, 2134, 1727, 540, 302, 26, 13, 0], [0, 10, 57, 157, 946, 968, 3135, 2871, 3036, 3058, 935, 1035, 82, 92, 1, 1], [0, 10, 57, 157, 947, 957, 3190, 2706, 3366, 2596, 1397, 705, 247, 37, 12, 0], [0, 10, 57, 158, 935, 1023, 2970, 3201, 2574, 3520, 605, 1200, 27, 103, 0, 1], [0, 10, 57, 158, 936, 1012, 3025, 3036, 2904, 3058, 1067, 870, 192, 48, 11, 0], [0, 10, 57, 159, 925, 1067, 2860, 3366, 2442, 3520, 737, 1035, 137, 59, 10, 0], [0, 10, 57, 160, 914, 1122, 2695, 3696, 1980, 3982, 407, 1200, 82, 70, 9, 0], [0, 10, 57, 161, 903, 1177, 2530, 4026, 1518, 4444, 77, 1365, 27, 81, 8, 0], [0, 10, 58, 141, 1056, 528, 4290, 759, 5808, 418, 2750, 155, 368, 36, 6, 1], [0, 10, 58, 142, 1045, 583, 4125, 1089, 5346, 880, 2420, 320, 313, 47, 5, 1], [0, 10, 58, 143, 1034, 638, 3960, 1419, 4884, 1342, 2090, 485, 258, 58, 4, 1], [0, 10, 58, 143, 1035, 627, 4015, 1254, 5214, 880, 2552, 155, 423, 3, 15, 0], [0, 10, 58, 144, 1023, 693, 3795, 1749, 4422, 1804, 1760, 650, 203, 69, 3, 1], [0, 10, 58, 144, 1024, 682, 3850, 1584, 4752, 1342, 2222, 320, 368, 14, 14, 0], [0, 10, 58, 145, 1012, 748, 3630, 2079, 3960, 2266, 1430, 815, 148, 80, 2, 1], [0, 10, 58, 145, 1013, 737, 3685, 1914, 4290, 1804, 1892, 485, 313, 25, 13, 0], [0, 10, 58, 146, 1001, 803, 3465, 2409, 3498, 2728, 1100, 980, 93, 91, 1, 1], [0, 10, 58, 146, 1002, 792, 3520, 2244, 3828, 2266, 1562, 650, 258, 36, 12, 0], [0, 10, 58, 147, 990, 858, 3300, 2739, 3036, 3190, 770, 1145, 38, 102, 0, 1], [0, 10, 58, 147, 991, 847, 3355, 2574, 3366, 2728, 1232, 815, 203, 47, 11, 0], [0, 10, 58, 148, 980, 902, 3190, 2904, 2904, 3190, 902, 980, 148, 58, 10, 0], [0, 10, 58, 149, 969, 957, 3025, 3234, 2442, 3652, 572, 1145, 93, 69, 9, 0], [0, 10, 58, 150, 958, 1012, 2860, 3564, 1980, 4114, 242, 1310, 38, 80, 8, 0], [0, 10, 59, 130, 1111, 363, 4620, 297, 6270, 88, 2915, 100, 379, 35, 6, 1], [0, 10, 59, 131, 1100, 418, 4455, 627, 5808, 550, 2585, 265, 324, 46, 5, 1], [0, 10, 59, 132, 1089, 473, 4290, 957, 5346, 1012, 2255, 430, 269, 57, 4, 1], [0, 10, 59, 132, 1090, 462, 4345, 792, 5676, 550, 2717, 100, 434, 2, 15, 0], [0, 10, 59, 133, 1078, 528, 4125, 1287, 4884, 1474, 1925, 595, 214, 68, 3, 1], [0, 10, 59, 133, 1079, 517, 4180, 1122, 5214, 1012, 2387, 265, 379, 13, 14, 0], [0, 10, 59, 134, 1067, 583, 3960, 1617, 4422, 1936, 1595, 760, 159, 79, 2, 1], [0, 10, 59, 134, 1068, 572, 4015, 1452, 4752, 1474, 2057, 430, 324, 24, 13, 0], [0, 10, 59, 135, 1056, 638, 3795, 1947, 3960, 2398, 1265, 925, 104, 90, 1, 1], [0, 10, 59, 135, 1057, 627, 3850, 1782, 4290, 1936, 1727, 595, 269, 35, 12, 0], [0, 10, 59, 136, 1045, 693, 3630, 2277, 3498, 2860, 935, 1090, 49, 101, 0, 1], [0, 10, 59, 136, 1046, 682, 3685, 2112, 3828, 2398, 1397, 760, 214, 46, 11, 0], [0, 10, 59, 137, 1035, 737, 3520, 2442, 3366, 2860, 1067, 925, 159, 57, 10, 0], [0, 10, 59, 138, 1024, 792, 3355, 2772, 2904, 3322, 737, 1090, 104, 68, 9, 0], [0, 10, 59, 139, 1013, 847, 3190, 3102, 2442, 3784, 407, 1255, 49, 79, 8, 0], [0, 10, 60, 120, 1155, 253, 4785, 165, 6270, 220, 2750, 210, 335, 45, 5, 1], [0, 10, 60, 121, 1144, 308, 4620, 495, 5808, 682, 2420, 375, 280, 56, 4, 1], [0, 10, 60, 121, 1145, 297, 4675, 330, 6138, 220, 2882, 45, 445, 1, 15, 0], [0, 10, 60, 122, 1133, 363, 4455, 825, 5346, 1144, 2090, 540, 225, 67, 3, 1], [0, 10, 60, 122, 1134, 352, 4510, 660, 5676, 682, 2552, 210, 390, 12, 14, 0], [0, 10, 60, 123, 1122, 418, 4290, 1155, 4884, 1606, 1760, 705, 170, 78, 2, 1], [0, 10, 60, 123, 1123, 407, 4345, 990, 5214, 1144, 2222, 375, 335, 23, 13, 0], [0, 10, 60, 124, 1111, 473, 4125, 1485, 4422, 2068, 1430, 870, 115, 89, 1, 1], [0, 10, 60, 124, 1112, 462, 4180, 1320, 4752, 1606, 1892, 540, 280, 34, 12, 0], [0, 10, 60, 125, 1100, 528, 3960, 1815, 3960, 2530, 1100, 1035, 60, 100, 0, 1], [0, 10, 60, 125, 1101, 517, 4015, 1650, 4290, 2068, 1562, 705, 225, 45, 11, 0], [0, 10, 60, 126, 1090, 572, 3850, 1980, 3828, 2530, 1232, 870, 170, 56, 10, 0], [0, 10, 60, 127, 1079, 627, 3685, 2310, 3366, 2992, 902, 1035, 115, 67, 9, 0], [0, 10, 60, 128, 1068, 682, 3520, 2640, 2904, 3454, 572, 1200, 60, 78, 8, 0], [0, 10, 60, 129, 1057, 737, 3355, 2970, 2442, 3916, 242, 1365, 5, 89, 7, 0], [0, 10, 61, 110, 1199, 143, 4950, 33, 6270, 352, 2585, 320, 291, 55, 4, 1], [0, 10, 61, 111, 1188, 198, 4785, 363, 5808, 814, 2255, 485, 236, 66, 3, 1], [0, 10, 61, 111, 1189, 187, 4840, 198, 6138, 352, 2717, 155, 401, 11, 14, 0], [0, 10, 61, 112, 1177, 253, 4620, 693, 5346, 1276, 1925, 650, 181, 77, 2, 1], [0, 10, 61, 112, 1178, 242, 4675, 528, 5676, 814, 2387, 320, 346, 22, 13, 0], [0, 10, 61, 113, 1166, 308, 4455, 1023, 4884, 1738, 1595, 815, 126, 88, 1, 1], [0, 10, 61, 113, 1167, 297, 4510, 858, 5214, 1276, 2057, 485, 291, 33, 12, 0], [0, 10, 61, 114, 1155, 363, 4290, 1353, 4422, 2200, 1265, 980, 71, 99, 0, 1], [0, 10, 61, 114, 1156, 352, 4345, 1188, 4752, 1738, 1727, 650, 236, 44, 11, 0], [0, 10, 61, 115, 1145, 407, 4180, 1518, 4290, 2200, 1397, 815, 181, 55, 10, 0], [0, 10, 61, 116, 1134, 462, 4015, 1848, 3828, 2662, 1067, 980, 126, 66, 9, 0], [0, 10, 61, 117, 1123, 517, 3850, 2178, 3366, 3124, 737, 1145, 71, 77, 8, 0], [0, 10, 61, 118, 1112, 572, 3685, 2508, 2904, 3586, 407, 1310, 16, 88, 7, 0], [0, 10, 62, 101, 1232, 88, 4950, 231, 5808, 946, 2090, 595, 192, 76, 2, 1], [0, 10, 62, 101, 1233, 77, 5005, 66, 6138, 484, 2552, 265, 357, 21, 13, 0], [0, 10, 62, 102, 1221, 143, 4785, 561, 5346, 1408, 1760, 760, 137, 87, 1, 1], [0, 10, 62, 102, 1222, 132, 4840, 396, 5676, 946, 2222, 430, 302, 32, 12, 0], [0, 10, 62, 103, 1210, 198, 4620, 891, 4884, 1870, 1430, 925, 82, 98, 0, 1], [0, 10, 62, 103, 1211, 187, 4675, 726, 5214, 1408, 1892, 595, 247, 43, 11, 0], [0, 10, 62, 104, 1200, 242, 4510, 1056, 4752, 1870, 1562, 760, 192, 54, 10, 0], [0, 10, 62, 105, 1189, 297, 4345, 1386, 4290, 2332, 1232, 925, 137, 65, 9, 0], [0, 10, 62, 106, 1178, 352, 4180, 1716, 3828, 2794, 902, 1090, 82, 76, 8, 0], [0, 10, 62, 107, 1167, 407, 4015, 2046, 3366, 3256, 572, 1255, 27, 87, 7, 0], [0, 10, 63, 92, 1265, 33, 4950, 429, 5346, 1540, 1595, 870, 93, 97, 0, 1], [0, 10, 63, 92, 1266, 22, 5005, 264, 5676, 1078, 2057, 540, 258, 42, 11, 0], [0, 10, 63, 93, 1255, 77, 4840, 594, 5214, 1540, 1727, 705, 203, 53, 10, 0], [0, 10, 63, 94, 1244, 132, 4675, 924, 4752, 2002, 1397, 870, 148, 64, 9, 0], [0, 10, 63, 95, 1233, 187, 4510, 1254, 4290, 2464, 1067, 1035, 93, 75, 8, 0], [0, 10, 63, 96, 1222, 242, 4345, 1584, 3828, 2926, 737, 1200, 38, 86, 7, 0], [0, 10, 64, 84, 1288, 22, 4840, 792, 4752, 2134, 1232, 980, 104, 74, 8, 0], [0, 10, 64, 85, 1277, 77, 4675, 1122, 4290, 2596, 902, 1145, 49, 85, 7, 0], [0, 11, 32, 353, 153, 2904, 143, 5676, 1914, 2299, 2398, 1, 477, 18, 3, 2], [0, 11, 33, 343, 197, 2794, 308, 5544, 1914, 2431, 2233, 111, 433, 28, 2, 2], [0, 11, 33, 344, 186, 2849, 143, 5874, 1452, 2893, 1903, 276, 378, 39, 1, 2], [0, 11, 34, 332, 252, 2629, 638, 5082, 2376, 2101, 2398, 56, 444, 27, 2, 2], [0, 11, 34, 333, 241, 2684, 473, 5412, 1914, 2563, 2068, 221, 389, 38, 1, 2], [0, 11, 34, 334, 230, 2739, 308, 5742, 1452, 3025, 1738, 386, 334, 49, 0, 2], [0, 11, 34, 335, 220, 2783, 198, 5907, 1320, 3025, 1870, 221, 444, 5, 10, 1], [0, 11, 34, 336, 209, 2838, 33, 6237, 858, 3487, 1540, 386, 389, 16, 9, 1], [0, 11, 35, 321, 307, 2464, 968, 4620, 2838, 1771, 2563, 1, 455, 26, 2, 2], [0, 11, 35, 322, 296, 2519, 803, 4950, 2376, 2233, 2233, 166, 400, 37, 1, 2], [0, 11, 35, 323, 285, 2574, 638, 5280, 1914, 2695, 1903, 331, 345, 48, 0, 2], [0, 11, 35, 324, 275, 2618, 528, 5445, 1782, 2695, 2035, 166, 455, 4, 10, 1], [0, 11, 35, 325, 264, 2673, 363, 5775, 1320, 3157, 1705, 331, 400, 15, 9, 1], [0, 11, 35, 326, 253, 2728, 198, 6105, 858, 3619, 1375, 496, 345, 26, 8, 1], [0, 11, 35, 327, 242, 2783, 33, 6435, 396, 4081, 1045, 661, 290, 37, 7, 1], [0, 11, 36, 311, 351, 2354, 1133, 4488, 2838, 1903, 2398, 111, 411, 36, 1, 2], [0, 11, 36, 312, 340, 2409, 968, 4818, 2376, 2365, 2068, 276, 356, 47, 0, 2], [0, 11, 36, 313, 330, 2453, 858, 4983, 2244, 2365, 2200, 111, 466, 3, 10, 1], [0, 11, 36, 314, 319, 2508, 693, 5313, 1782, 2827, 1870, 276, 411, 14, 9, 1], [0, 11, 36, 315, 308, 2563, 528, 5643, 1320, 3289, 1540, 441, 356, 25, 8, 1], [0, 11, 36, 316, 297, 2618, 363, 5973, 858, 3751, 1210, 606, 301, 36, 7, 1], [0, 11, 36, 317, 286, 2673, 198, 6303, 396, 4213, 880, 771, 246, 47, 6, 1], [0, 11, 36, 318, 276, 2717, 88, 6468, 264, 4213, 1012, 606, 356, 3, 16, 0], [0, 11, 37, 300, 406, 2189, 1463, 4026, 3300, 1573, 2563, 56, 422, 35, 1, 2], [0, 11, 37, 301, 395, 2244, 1298, 4356, 2838, 2035, 2233, 221, 367, 46, 0, 2], [0, 11, 37, 302, 385, 2288, 1188, 4521, 2706, 2035, 2365, 56, 477, 2, 10, 1], [0, 11, 37, 303, 374, 2343, 1023, 4851, 2244, 2497, 2035, 221, 422, 13, 9, 1], [0, 11, 37, 304, 363, 2398, 858, 5181, 1782, 2959, 1705, 386, 367, 24, 8, 1], [0, 11, 37, 305, 352, 2453, 693, 5511, 1320, 3421, 1375, 551, 312, 35, 7, 1], [0, 11, 37, 306, 341, 2508, 528, 5841, 858, 3883, 1045, 716, 257, 46, 6, 1], [0, 11, 37, 307, 330, 2563, 363, 6171, 396, 4345, 715, 881, 202, 57, 5, 1], [0, 11, 37, 307, 331, 2552, 418, 6006, 726, 3883, 1177, 551, 367, 2, 16, 0], [0, 11, 37, 308, 320, 2607, 253, 6336, 264, 4345, 847, 716, 312, 13, 15, 0], [0, 11, 38, 289, 461, 2024, 1793, 3564, 3762, 1243, 2728, 1, 433, 34, 1, 2], [0, 11, 38, 290, 450, 2079, 1628, 3894, 3300, 1705, 2398, 166, 378, 45, 0, 2], [0, 11, 38, 291, 440, 2123, 1518, 4059, 3168, 1705, 2530, 1, 488, 1, 10, 1], [0, 11, 38, 292, 429, 2178, 1353, 4389, 2706, 2167, 2200, 166, 433, 12, 9, 1], [0, 11, 38, 293, 418, 2233, 1188, 4719, 2244, 2629, 1870, 331, 378, 23, 8, 1], [0, 11, 38, 294, 407, 2288, 1023, 5049, 1782, 3091, 1540, 496, 323, 34, 7, 1], [0, 11, 38, 295, 396, 2343, 858, 5379, 1320, 3553, 1210, 661, 268, 45, 6, 1], [0, 11, 38, 296, 385, 2398, 693, 5709, 858, 4015, 880, 826, 213, 56, 5, 1], [0, 11, 38, 296, 386, 2387, 748, 5544, 1188, 3553, 1342, 496, 378, 1, 16, 0], [0, 11, 38, 297, 374, 2453, 528, 6039, 396, 4477, 550, 991, 158, 67, 4, 1], [0, 11, 38, 297, 375, 2442, 583, 5874, 726, 4015, 1012, 661, 323, 12, 15, 0], [0, 11, 38, 298, 364, 2497, 418, 6204, 264, 4477, 682, 826, 268, 23, 14, 0], [0, 11, 39, 279, 505, 1914, 1958, 3432, 3762, 1375, 2563, 111, 389, 44, 0, 2], [0, 11, 39, 281, 484, 2013, 1683, 3927, 3168, 1837, 2365, 111, 444, 11, 9, 1], [0, 11, 39, 282, 473, 2068, 1518, 4257, 2706, 2299, 2035, 276, 389, 22, 8, 1], [0, 11, 39, 283, 462, 2123, 1353, 4587, 2244, 2761, 1705, 441, 334, 33, 7, 1], [0, 11, 39, 284, 451, 2178, 1188, 4917, 1782, 3223, 1375, 606, 279, 44, 6, 1], [0, 11, 39, 285, 440, 2233, 1023, 5247, 1320, 3685, 1045, 771, 224, 55, 5, 1], [0, 11, 39, 285, 441, 2222, 1078, 5082, 1650, 3223, 1507, 441, 389, 0, 16, 0], [0, 11, 39, 286, 429, 2288, 858, 5577, 858, 4147, 715, 936, 169, 66, 4, 1], [0, 11, 39, 286, 430, 2277, 913, 5412, 1188, 3685, 1177, 606, 334, 11, 15, 0], [0, 11, 39, 287, 418, 2343, 693, 5907, 396, 4609, 385, 1101, 114, 77, 3, 1], [0, 11, 39, 287, 419, 2332, 748, 5742, 726, 4147, 847, 771, 279, 22, 14, 0], [0, 11, 39, 288, 408, 2387, 583, 6072, 264, 4609, 517, 936, 224, 33, 13, 0], [0, 11, 40, 268, 560, 1749, 2288, 2970, 4224, 1045, 2728, 56, 400, 43, 0, 2], [0, 11, 40, 270, 539, 1848, 2013, 3465, 3630, 1507, 2530, 56, 455, 10, 9, 1], [0, 11, 40, 271, 528, 1903, 1848, 3795, 3168, 1969, 2200, 221, 400, 21, 8, 1], [0, 11, 40, 272, 517, 1958, 1683, 4125, 2706, 2431, 1870, 386, 345, 32, 7, 1], [0, 11, 40, 273, 506, 2013, 1518, 4455, 2244, 2893, 1540, 551, 290, 43, 6, 1], [0, 11, 40, 274, 495, 2068, 1353, 4785, 1782, 3355, 1210, 716, 235, 54, 5, 1], [0, 11, 40, 275, 484, 2123, 1188, 5115, 1320, 3817, 880, 881, 180, 65, 4, 1], [0, 11, 40, 275, 485, 2112, 1243, 4950, 1650, 3355, 1342, 551, 345, 10, 15, 0], [0, 11, 40, 276, 473, 2178, 1023, 5445, 858, 4279, 550, 1046, 125, 76, 3, 1], [0, 11, 40, 276, 474, 2167, 1078, 5280, 1188, 3817, 1012, 716, 290, 21, 14, 0], [0, 11, 40, 277, 462, 2233, 858, 5775, 396, 4741, 220, 1211, 70, 87, 2, 1], [0, 11, 40, 277, 463, 2222, 913, 5610, 726, 4279, 682, 881, 235, 32, 13, 0], [0, 11, 40, 278, 452, 2277, 748, 5940, 264, 4741, 352, 1046, 180, 43, 12, 0], [0, 11, 41, 257, 615, 1584, 2618, 2508, 4686, 715, 2893, 1, 411, 42, 0, 2], [0, 11, 41, 259, 594, 1683, 2343, 3003, 4092, 1177, 2695, 1, 466, 9, 9, 1], [0, 11, 41, 260, 583, 1738, 2178, 3333, 3630, 1639, 2365, 166, 411, 20, 8, 1], [0, 11, 41, 261, 572, 1793, 2013, 3663, 3168, 2101, 2035, 331, 356, 31, 7, 1], [0, 11, 41, 262, 561, 1848, 1848, 3993, 2706, 2563, 1705, 496, 301, 42, 6, 1], [0, 11, 41, 263, 550, 1903, 1683, 4323, 2244, 3025, 1375, 661, 246, 53, 5, 1], [0, 11, 41, 264, 539, 1958, 1518, 4653, 1782, 3487, 1045, 826, 191, 64, 4, 1], [0, 11, 41, 264, 540, 1947, 1573, 4488, 2112, 3025, 1507, 496, 356, 9, 15, 0], [0, 11, 41, 265, 528, 2013, 1353, 4983, 1320, 3949, 715, 991, 136, 75, 3, 1], [0, 11, 41, 265, 529, 2002, 1408, 4818, 1650, 3487, 1177, 661, 301, 20, 14, 0], [0, 11, 41, 266, 517, 2068, 1188, 5313, 858, 4411, 385, 1156, 81, 86, 2, 1], [0, 11, 41, 266, 518, 2057, 1243, 5148, 1188, 3949, 847, 826, 246, 31, 13, 0], [0, 11, 41, 267, 506, 2123, 1023, 5643, 396, 4873, 55, 1321, 26, 97, 1, 1], [0, 11, 41, 267, 507, 2112, 1078, 5478, 726, 4411, 517, 991, 191, 42, 12, 0], [0, 11, 41, 268, 496, 2167, 913, 5808, 264, 4873, 187, 1156, 136, 53, 11, 0], [0, 11, 42, 249, 638, 1573, 2508, 2871, 4092, 1309, 2530, 111, 422, 19, 8, 1], [0, 11, 42, 250, 627, 1628, 2343, 3201, 3630, 1771, 2200, 276, 367, 30, 7, 1], [0, 11, 42, 251, 616, 1683, 2178, 3531, 3168, 2233, 1870, 441, 312, 41, 6, 1], [0, 11, 42, 252, 605, 1738, 2013, 3861, 2706, 2695, 1540, 606, 257, 52, 5, 1], [0, 11, 42, 253, 594, 1793, 1848, 4191, 2244, 3157, 1210, 771, 202, 63, 4, 1], [0, 11, 42, 253, 595, 1782, 1903, 4026, 2574, 2695, 1672, 441, 367, 8, 15, 0], [0, 11, 42, 254, 583, 1848, 1683, 4521, 1782, 3619, 880, 936, 147, 74, 3, 1], [0, 11, 42, 254, 584, 1837, 1738, 4356, 2112, 3157, 1342, 606, 312, 19, 14, 0], [0, 11, 42, 255, 572, 1903, 1518, 4851, 1320, 4081, 550, 1101, 92, 85, 2, 1], [0, 11, 42, 255, 573, 1892, 1573, 4686, 1650, 3619, 1012, 771, 257, 30, 13, 0], [0, 11, 42, 256, 561, 1958, 1353, 5181, 858, 4543, 220, 1266, 37, 96, 1, 1], [0, 11, 42, 256, 562, 1947, 1408, 5016, 1188, 4081, 682, 936, 202, 41, 12, 0], [0, 11, 42, 257, 551, 2002, 1243, 5346, 726, 4543, 352, 1101, 147, 52, 11, 0], [0, 11, 42, 258, 540, 2057, 1078, 5676, 264, 5005, 22, 1266, 92, 63, 10, 0], [0, 11, 43, 238, 693, 1408, 2838, 2409, 4554, 979, 2695, 56, 433, 18, 8, 1], [0, 11, 43, 239, 682, 1463, 2673, 2739, 4092, 1441, 2365, 221, 378, 29, 7, 1], [0, 11, 43, 240, 671, 1518, 2508, 3069, 3630, 1903, 2035, 386, 323, 40, 6, 1], [0, 11, 43, 241, 660, 1573, 2343, 3399, 3168, 2365, 1705, 551, 268, 51, 5, 1], [0, 11, 43, 242, 649, 1628, 2178, 3729, 2706, 2827, 1375, 716, 213, 62, 4, 1], [0, 11, 43, 242, 650, 1617, 2233, 3564, 3036, 2365, 1837, 386, 378, 7, 15, 0], [0, 11, 43, 243, 638, 1683, 2013, 4059, 2244, 3289, 1045, 881, 158, 73, 3, 1], [0, 11, 43, 243, 639, 1672, 2068, 3894, 2574, 2827, 1507, 551, 323, 18, 14, 0], [0, 11, 43, 244, 627, 1738, 1848, 4389, 1782, 3751, 715, 1046, 103, 84, 2, 1], [0, 11, 43, 244, 628, 1727, 1903, 4224, 2112, 3289, 1177, 716, 268, 29, 13, 0], [0, 11, 43, 245, 616, 1793, 1683, 4719, 1320, 4213, 385, 1211, 48, 95, 1, 1], [0, 11, 43, 245, 617, 1782, 1738, 4554, 1650, 3751, 847, 881, 213, 40, 12, 0], [0, 11, 43, 246, 606, 1837, 1573, 4884, 1188, 4213, 517, 1046, 158, 51, 11, 0], [0, 11, 43, 247, 595, 1892, 1408, 5214, 726, 4675, 187, 1211, 103, 62, 10, 0], [0, 11, 44, 227, 748, 1243, 3168, 1947, 5016, 649, 2860, 1, 444, 17, 8, 1], [0, 11, 44, 228, 737, 1298, 3003, 2277, 4554, 1111, 2530, 166, 389, 28, 7, 1], [0, 11, 44, 229, 726, 1353, 2838, 2607, 4092, 1573, 2200, 331, 334, 39, 6, 1], [0, 11, 44, 230, 715, 1408, 2673, 2937, 3630, 2035, 1870, 496, 279, 50, 5, 1], [0, 11, 44, 231, 704, 1463, 2508, 3267, 3168, 2497, 1540, 661, 224, 61, 4, 1], [0, 11, 44, 231, 705, 1452, 2563, 3102, 3498, 2035, 2002, 331, 389, 6, 15, 0], [0, 11, 44, 232, 693, 1518, 2343, 3597, 2706, 2959, 1210, 826, 169, 72, 3, 1], [0, 11, 44, 232, 694, 1507, 2398, 3432, 3036, 2497, 1672, 496, 334, 17, 14, 0], [0, 11, 44, 233, 682, 1573, 2178, 3927, 2244, 3421, 880, 991, 114, 83, 2, 1], [0, 11, 44, 233, 683, 1562, 2233, 3762, 2574, 2959, 1342, 661, 279, 28, 13, 0], [0, 11, 44, 234, 671, 1628, 2013, 4257, 1782, 3883, 550, 1156, 59, 94, 1, 1], [0, 11, 44, 234, 672, 1617, 2068, 4092, 2112, 3421, 1012, 826, 224, 39, 12, 0], [0, 11, 44, 235, 660, 1683, 1848, 4587, 1320, 4345, 220, 1321, 4, 105, 0, 1], [0, 11, 44, 235, 661, 1672, 1903, 4422, 1650, 3883, 682, 991, 169, 50, 11, 0], [0, 11, 44, 236, 650, 1727, 1738, 4752, 1188, 4345, 352, 1156, 114, 61, 10, 0], [0, 11, 44, 237, 639, 1782, 1573, 5082, 726, 4807, 22, 1321, 59, 72, 9, 0], [0, 11, 45, 217, 792, 1133, 3333, 1815, 5016, 781, 2695, 111, 400, 27, 7, 1], [0, 11, 45, 218, 781, 1188, 3168, 2145, 4554, 1243, 2365, 276, 345, 38, 6, 1], [0, 11, 45, 219, 770, 1243, 3003, 2475, 4092, 1705, 2035, 441, 290, 49, 5, 1], [0, 11, 45, 220, 759, 1298, 2838, 2805, 3630, 2167, 1705, 606, 235, 60, 4, 1], [0, 11, 45, 220, 760, 1287, 2893, 2640, 3960, 1705, 2167, 276, 400, 5, 15, 0], [0, 11, 45, 221, 748, 1353, 2673, 3135, 3168, 2629, 1375, 771, 180, 71, 3, 1], [0, 11, 45, 221, 749, 1342, 2728, 2970, 3498, 2167, 1837, 441, 345, 16, 14, 0], [0, 11, 45, 222, 737, 1408, 2508, 3465, 2706, 3091, 1045, 936, 125, 82, 2, 1], [0, 11, 45, 222, 738, 1397, 2563, 3300, 3036, 2629, 1507, 606, 290, 27, 13, 0], [0, 11, 45, 223, 726, 1463, 2343, 3795, 2244, 3553, 715, 1101, 70, 93, 1, 1], [0, 11, 45, 223, 727, 1452, 2398, 3630, 2574, 3091, 1177, 771, 235, 38, 12, 0], [0, 11, 45, 224, 715, 1518, 2178, 4125, 1782, 4015, 385, 1266, 15, 104, 0, 1], [0, 11, 45, 224, 716, 1507, 2233, 3960, 2112, 3553, 847, 936, 180, 49, 11, 0], [0, 11, 45, 225, 705, 1562, 2068, 4290, 1650, 4015, 517, 1101, 125, 60, 10, 0], [0, 11, 45, 226, 694, 1617, 1903, 4620, 1188, 4477, 187, 1266, 70, 71, 9, 0], [0, 11, 46, 206, 847, 968, 3663, 1353, 5478, 451, 2860, 56, 411, 26, 7, 1], [0, 11, 46, 207, 836, 1023, 3498, 1683, 5016, 913, 2530, 221, 356, 37, 6, 1], [0, 11, 46, 208, 825, 1078, 3333, 2013, 4554, 1375, 2200, 386, 301, 48, 5, 1], [0, 11, 46, 209, 814, 1133, 3168, 2343, 4092, 1837, 1870, 551, 246, 59, 4, 1], [0, 11, 46, 209, 815, 1122, 3223, 2178, 4422, 1375, 2332, 221, 411, 4, 15, 0], [0, 11, 46, 210, 803, 1188, 3003, 2673, 3630, 2299, 1540, 716, 191, 70, 3, 1], [0, 11, 46, 210, 804, 1177, 3058, 2508, 3960, 1837, 2002, 386, 356, 15, 14, 0], [0, 11, 46, 211, 792, 1243, 2838, 3003, 3168, 2761, 1210, 881, 136, 81, 2, 1], [0, 11, 46, 211, 793, 1232, 2893, 2838, 3498, 2299, 1672, 551, 301, 26, 13, 0], [0, 11, 46, 212, 781, 1298, 2673, 3333, 2706, 3223, 880, 1046, 81, 92, 1, 1], [0, 11, 46, 212, 782, 1287, 2728, 3168, 3036, 2761, 1342, 716, 246, 37, 12, 0], [0, 11, 46, 213, 770, 1353, 2508, 3663, 2244, 3685, 550, 1211, 26, 103, 0, 1], [0, 11, 46, 213, 771, 1342, 2563, 3498, 2574, 3223, 1012, 881, 191, 48, 11, 0], [0, 11, 46, 214, 760, 1397, 2398, 3828, 2112, 3685, 682, 1046, 136, 59, 10, 0], [0, 11, 46, 215, 749, 1452, 2233, 4158, 1650, 4147, 352, 1211, 81, 70, 9, 0], [0, 11, 46, 216, 738, 1507, 2068, 4488, 1188, 4609, 22, 1376, 26, 81, 8, 0], [0, 11, 47, 195, 902, 803, 3993, 891, 5940, 121, 3025, 1, 422, 25, 7, 1], [0, 11, 47, 196, 891, 858, 3828, 1221, 5478, 583, 2695, 166, 367, 36, 6, 1], [0, 11, 47, 197, 880, 913, 3663, 1551, 5016, 1045, 2365, 331, 312, 47, 5, 1], [0, 11, 47, 198, 869, 968, 3498, 1881, 4554, 1507, 2035, 496, 257, 58, 4, 1], [0, 11, 47, 198, 870, 957, 3553, 1716, 4884, 1045, 2497, 166, 422, 3, 15, 0], [0, 11, 47, 199, 858, 1023, 3333, 2211, 4092, 1969, 1705, 661, 202, 69, 3, 1], [0, 11, 47, 199, 859, 1012, 3388, 2046, 4422, 1507, 2167, 331, 367, 14, 14, 0], [0, 11, 47, 200, 847, 1078, 3168, 2541, 3630, 2431, 1375, 826, 147, 80, 2, 1], [0, 11, 47, 200, 848, 1067, 3223, 2376, 3960, 1969, 1837, 496, 312, 25, 13, 0], [0, 11, 47, 201, 836, 1133, 3003, 2871, 3168, 2893, 1045, 991, 92, 91, 1, 1], [0, 11, 47, 201, 837, 1122, 3058, 2706, 3498, 2431, 1507, 661, 257, 36, 12, 0], [0, 11, 47, 202, 825, 1188, 2838, 3201, 2706, 3355, 715, 1156, 37, 102, 0, 1], [0, 11, 47, 202, 826, 1177, 2893, 3036, 3036, 2893, 1177, 826, 202, 47, 11, 0], [0, 11, 47, 203, 815, 1232, 2728, 3366, 2574, 3355, 847, 991, 147, 58, 10, 0], [0, 11, 47, 204, 804, 1287, 2563, 3696, 2112, 3817, 517, 1156, 92, 69, 9, 0], [0, 11, 47, 205, 793, 1342, 2398, 4026, 1650, 4279, 187, 1321, 37, 80, 8, 0], [0, 11, 48, 185, 946, 693, 4158, 759, 5940, 253, 2860, 111, 378, 35, 6, 1], [0, 11, 48, 186, 935, 748, 3993, 1089, 5478, 715, 2530, 276, 323, 46, 5, 1], [0, 11, 48, 187, 924, 803, 3828, 1419, 5016, 1177, 2200, 441, 268, 57, 4, 1], [0, 11, 48, 187, 925, 792, 3883, 1254, 5346, 715, 2662, 111, 433, 2, 15, 0], [0, 11, 48, 188, 913, 858, 3663, 1749, 4554, 1639, 1870, 606, 213, 68, 3, 1], [0, 11, 48, 188, 914, 847, 3718, 1584, 4884, 1177, 2332, 276, 378, 13, 14, 0], [0, 11, 48, 189, 902, 913, 3498, 2079, 4092, 2101, 1540, 771, 158, 79, 2, 1], [0, 11, 48, 189, 903, 902, 3553, 1914, 4422, 1639, 2002, 441, 323, 24, 13, 0], [0, 11, 48, 190, 891, 968, 3333, 2409, 3630, 2563, 1210, 936, 103, 90, 1, 1], [0, 11, 48, 190, 892, 957, 3388, 2244, 3960, 2101, 1672, 606, 268, 35, 12, 0], [0, 11, 48, 191, 880, 1023, 3168, 2739, 3168, 3025, 880, 1101, 48, 101, 0, 1], [0, 11, 48, 191, 881, 1012, 3223, 2574, 3498, 2563, 1342, 771, 213, 46, 11, 0], [0, 11, 48, 192, 870, 1067, 3058, 2904, 3036, 3025, 1012, 936, 158, 57, 10, 0], [0, 11, 48, 193, 859, 1122, 2893, 3234, 2574, 3487, 682, 1101, 103, 68, 9, 0], [0, 11, 48, 194, 848, 1177, 2728, 3564, 2112, 3949, 352, 1266, 48, 79, 8, 0], [0, 11, 49, 175, 990, 583, 4323, 627, 5940, 385, 2695, 221, 334, 45, 5, 1], [0, 11, 49, 176, 979, 638, 4158, 957, 5478, 847, 2365, 386, 279, 56, 4, 1], [0, 11, 49, 176, 980, 627, 4213, 792, 5808, 385, 2827, 56, 444, 1, 15, 0], [0, 11, 49, 177, 968, 693, 3993, 1287, 5016, 1309, 2035, 551, 224, 67, 3, 1], [0, 11, 49, 177, 969, 682, 4048, 1122, 5346, 847, 2497, 221, 389, 12, 14, 0], [0, 11, 49, 178, 957, 748, 3828, 1617, 4554, 1771, 1705, 716, 169, 78, 2, 1], [0, 11, 49, 178, 958, 737, 3883, 1452, 4884, 1309, 2167, 386, 334, 23, 13, 0], [0, 11, 49, 179, 946, 803, 3663, 1947, 4092, 2233, 1375, 881, 114, 89, 1, 1], [0, 11, 49, 179, 947, 792, 3718, 1782, 4422, 1771, 1837, 551, 279, 34, 12, 0], [0, 11, 49, 180, 935, 858, 3498, 2277, 3630, 2695, 1045, 1046, 59, 100, 0, 1], [0, 11, 49, 180, 936, 847, 3553, 2112, 3960, 2233, 1507, 716, 224, 45, 11, 0], [0, 11, 49, 181, 925, 902, 3388, 2442, 3498, 2695, 1177, 881, 169, 56, 10, 0], [0, 11, 49, 182, 914, 957, 3223, 2772, 3036, 3157, 847, 1046, 114, 67, 9, 0], [0, 11, 49, 183, 903, 1012, 3058, 3102, 2574, 3619, 517, 1211, 59, 78, 8, 0], [0, 11, 49, 184, 892, 1067, 2893, 3432, 2112, 4081, 187, 1376, 4, 89, 7, 0], [0, 11, 50, 164, 1045, 418, 4653, 165, 6402, 55, 2860, 166, 345, 44, 5, 1], [0, 11, 50, 165, 1034, 473, 4488, 495, 5940, 517, 2530, 331, 290, 55, 4, 1], [0, 11, 50, 165, 1035, 462, 4543, 330, 6270, 55, 2992, 1, 455, 0, 15, 0], [0, 11, 50, 166, 1023, 528, 4323, 825, 5478, 979, 2200, 496, 235, 66, 3, 1], [0, 11, 50, 166, 1024, 517, 4378, 660, 5808, 517, 2662, 166, 400, 11, 14, 0], [0, 11, 50, 167, 1012, 583, 4158, 1155, 5016, 1441, 1870, 661, 180, 77, 2, 1], [0, 11, 50, 167, 1013, 572, 4213, 990, 5346, 979, 2332, 331, 345, 22, 13, 0], [0, 11, 50, 168, 1001, 638, 3993, 1485, 4554, 1903, 1540, 826, 125, 88, 1, 1], [0, 11, 50, 168, 1002, 627, 4048, 1320, 4884, 1441, 2002, 496, 290, 33, 12, 0], [0, 11, 50, 169, 990, 693, 3828, 1815, 4092, 2365, 1210, 991, 70, 99, 0, 1], [0, 11, 50, 169, 991, 682, 3883, 1650, 4422, 1903, 1672, 661, 235, 44, 11, 0], [0, 11, 50, 170, 980, 737, 3718, 1980, 3960, 2365, 1342, 826, 180, 55, 10, 0], [0, 11, 50, 171, 969, 792, 3553, 2310, 3498, 2827, 1012, 991, 125, 66, 9, 0], [0, 11, 50, 172, 958, 847, 3388, 2640, 3036, 3289, 682, 1156, 70, 77, 8, 0], [0, 11, 50, 173, 947, 902, 3223, 2970, 2574, 3751, 352, 1321, 15, 88, 7, 0], [0, 11, 51, 154, 1089, 308, 4818, 33, 6402, 187, 2695, 276, 301, 54, 4, 1], [0, 11, 51, 155, 1078, 363, 4653, 363, 5940, 649, 2365, 441, 246, 65, 3, 1], [0, 11, 51, 155, 1079, 352, 4708, 198, 6270, 187, 2827, 111, 411, 10, 14, 0], [0, 11, 51, 156, 1067, 418, 4488, 693, 5478, 1111, 2035, 606, 191, 76, 2, 1], [0, 11, 51, 156, 1068, 407, 4543, 528, 5808, 649, 2497, 276, 356, 21, 13, 0], [0, 11, 51, 157, 1056, 473, 4323, 1023, 5016, 1573, 1705, 771, 136, 87, 1, 1], [0, 11, 51, 157, 1057, 462, 4378, 858, 5346, 1111, 2167, 441, 301, 32, 12, 0], [0, 11, 51, 158, 1045, 528, 4158, 1353, 4554, 2035, 1375, 936, 81, 98, 0, 1], [0, 11, 51, 158, 1046, 517, 4213, 1188, 4884, 1573, 1837, 606, 246, 43, 11, 0], [0, 11, 51, 159, 1035, 572, 4048, 1518, 4422, 2035, 1507, 771, 191, 54, 10, 0], [0, 11, 51, 160, 1024, 627, 3883, 1848, 3960, 2497, 1177, 936, 136, 65, 9, 0], [0, 11, 51, 161, 1013, 682, 3718, 2178, 3498, 2959, 847, 1101, 81, 76, 8, 0], [0, 11, 51, 162, 1002, 737, 3553, 2508, 3036, 3421, 517, 1266, 26, 87, 7, 0], [0, 11, 52, 145, 1122, 253, 4818, 231, 5940, 781, 2200, 551, 202, 75, 2, 1], [0, 11, 52, 145, 1123, 242, 4873, 66, 6270, 319, 2662, 221, 367, 20, 13, 0], [0, 11, 52, 146, 1111, 308, 4653, 561, 5478, 1243, 1870, 716, 147, 86, 1, 1], [0, 11, 52, 146, 1112, 297, 4708, 396, 5808, 781, 2332, 386, 312, 31, 12, 0], [0, 11, 52, 147, 1100, 363, 4488, 891, 5016, 1705, 1540, 881, 92, 97, 0, 1], [0, 11, 52, 147, 1101, 352, 4543, 726, 5346, 1243, 2002, 551, 257, 42, 11, 0], [0, 11, 52, 148, 1090, 407, 4378, 1056, 4884, 1705, 1672, 716, 202, 53, 10, 0], [0, 11, 52, 149, 1079, 462, 4213, 1386, 4422, 2167, 1342, 881, 147, 64, 9, 0], [0, 11, 52, 150, 1068, 517, 4048, 1716, 3960, 2629, 1012, 1046, 92, 75, 8, 0], [0, 11, 52, 151, 1057, 572, 3883, 2046, 3498, 3091, 682, 1211, 37, 86, 7, 0], [0, 11, 53, 135, 1166, 143, 4983, 99, 5940, 913, 2035, 661, 158, 85, 1, 1], [0, 11, 53, 136, 1155, 198, 4818, 429, 5478, 1375, 1705, 826, 103, 96, 0, 1], [0, 11, 53, 136, 1156, 187, 4873, 264, 5808, 913, 2167, 496, 268, 41, 11, 0], [0, 11, 53, 137, 1145, 242, 4708, 594, 5346, 1375, 1837, 661, 213, 52, 10, 0], [0, 11, 53, 138, 1134, 297, 4543, 924, 4884, 1837, 1507, 826, 158, 63, 9, 0], [0, 11, 53, 139, 1123, 352, 4378, 1254, 4422, 2299, 1177, 991, 103, 74, 8, 0], [0, 11, 53, 140, 1112, 407, 4213, 1584, 3960, 2761, 847, 1156, 48, 85, 7, 0], [0, 11, 54, 126, 1200, 77, 5038, 132, 5808, 1045, 2002, 606, 224, 51, 10, 0], [0, 11, 54, 127, 1189, 132, 4873, 462, 5346, 1507, 1672, 771, 169, 62, 9, 0], [0, 11, 54, 128, 1178, 187, 4708, 792, 4884, 1969, 1342, 936, 114, 73, 8, 0], [0, 11, 54, 129, 1167, 242, 4543, 1122, 4422, 2431, 1012, 1101, 59, 84, 7, 0], [0, 11, 54, 130, 1156, 297, 4378, 1452, 3960, 2893, 682, 1266, 4, 95, 6, 0], [0, 11, 55, 117, 1233, 22, 5038, 330, 5346, 1639, 1507, 881, 125, 72, 8, 0], [0, 11, 55, 118, 1222, 77, 4873, 660, 4884, 2101, 1177, 1046, 70, 83, 7, 0], [0, 11, 55, 119, 1211, 132, 4708, 990, 4422, 2563, 847, 1211, 15, 94, 6, 0], [0, 12, 23, 387, 87, 2959, 176, 5544, 2046, 2266, 2343, 67, 443, 27, 2, 2], [0, 12, 23, 388, 76, 3014, 11, 5874, 1584, 2728, 2013, 232, 388, 38, 1, 2], [0, 12, 24, 376, 142, 2794, 506, 5082, 2508, 1936, 2508, 12, 454, 26, 2, 2], [0, 12, 24, 377, 131, 2849, 341, 5412, 2046, 2398, 2178, 177, 399, 37, 1, 2], [0, 12, 24, 378, 120, 2904, 176, 5742, 1584, 2860, 1848, 342, 344, 48, 0, 2], [0, 12, 24, 379, 110, 2948, 66, 5907, 1452, 2860, 1980, 177, 454, 4, 10, 1], [0, 12, 25, 366, 186, 2684, 671, 4950, 2508, 2068, 2343, 122, 410, 36, 1, 2], [0, 12, 25, 367, 175, 2739, 506, 5280, 2046, 2530, 2013, 287, 355, 47, 0, 2], [0, 12, 25, 368, 165, 2783, 396, 5445, 1914, 2530, 2145, 122, 465, 3, 10, 1], [0, 12, 25, 369, 154, 2838, 231, 5775, 1452, 2992, 1815, 287, 410, 14, 9, 1], [0, 12, 25, 370, 143, 2893, 66, 6105, 990, 3454, 1485, 452, 355, 25, 8, 1], [0, 12, 26, 355, 241, 2519, 1001, 4488, 2970, 1738, 2508, 67, 421, 35, 1, 2], [0, 12, 26, 356, 230, 2574, 836, 4818, 2508, 2200, 2178, 232, 366, 46, 0, 2], [0, 12, 26, 357, 220, 2618, 726, 4983, 2376, 2200, 2310, 67, 476, 2, 10, 1], [0, 12, 26, 358, 209, 2673, 561, 5313, 1914, 2662, 1980, 232, 421, 13, 9, 1], [0, 12, 26, 359, 198, 2728, 396, 5643, 1452, 3124, 1650, 397, 366, 24, 8, 1], [0, 12, 26, 360, 187, 2783, 231, 5973, 990, 3586, 1320, 562, 311, 35, 7, 1], [0, 12, 26, 361, 176, 2838, 66, 6303, 528, 4048, 990, 727, 256, 46, 6, 1], [0, 12, 27, 344, 296, 2354, 1331, 4026, 3432, 1408, 2673, 12, 432, 34, 1, 2], [0, 12, 27, 345, 285, 2409, 1166, 4356, 2970, 1870, 2343, 177, 377, 45, 0, 2], [0, 12, 27, 346, 275, 2453, 1056, 4521, 2838, 1870, 2475, 12, 487, 1, 10, 1], [0, 12, 27, 347, 264, 2508, 891, 4851, 2376, 2332, 2145, 177, 432, 12, 9, 1], [0, 12, 27, 348, 253, 2563, 726, 5181, 1914, 2794, 1815, 342, 377, 23, 8, 1], [0, 12, 27, 349, 242, 2618, 561, 5511, 1452, 3256, 1485, 507, 322, 34, 7, 1], [0, 12, 27, 350, 231, 2673, 396, 5841, 990, 3718, 1155, 672, 267, 45, 6, 1], [0, 12, 27, 351, 220, 2728, 231, 6171, 528, 4180, 825, 837, 212, 56, 5, 1], [0, 12, 27, 351, 221, 2717, 286, 6006, 858, 3718, 1287, 507, 377, 1, 16, 0], [0, 12, 27, 352, 209, 2783, 66, 6501, 66, 4642, 495, 1002, 157, 67, 4, 1], [0, 12, 27, 352, 210, 2772, 121, 6336, 396, 4180, 957, 672, 322, 12, 15, 0], [0, 12, 28, 334, 340, 2244, 1496, 3894, 3432, 1540, 2508, 122, 388, 44, 0, 2], [0, 12, 28, 336, 319, 2343, 1221, 4389, 2838, 2002, 2310, 122, 443, 11, 9, 1], [0, 12, 28, 337, 308, 2398, 1056, 4719, 2376, 2464, 1980, 287, 388, 22, 8, 1], [0, 12, 28, 338, 297, 2453, 891, 5049, 1914, 2926, 1650, 452, 333, 33, 7, 1], [0, 12, 28, 339, 286, 2508, 726, 5379, 1452, 3388, 1320, 617, 278, 44, 6, 1], [0, 12, 28, 340, 275, 2563, 561, 5709, 990, 3850, 990, 782, 223, 55, 5, 1], [0, 12, 28, 340, 276, 2552, 616, 5544, 1320, 3388, 1452, 452, 388, 0, 16, 0], [0, 12, 28, 341, 264, 2618, 396, 6039, 528, 4312, 660, 947, 168, 66, 4, 1], [0, 12, 28, 341, 265, 2607, 451, 5874, 858, 3850, 1122, 617, 333, 11, 15, 0], [0, 12, 28, 342, 253, 2673, 231, 6369, 66, 4774, 330, 1112, 113, 77, 3, 1], [0, 12, 28, 342, 254, 2662, 286, 6204, 396, 4312, 792, 782, 278, 22, 14, 0], [0, 12, 29, 323, 395, 2079, 1826, 3432, 3894, 1210, 2673, 67, 399, 43, 0, 2], [0, 12, 29, 325, 374, 2178, 1551, 3927, 3300, 1672, 2475, 67, 454, 10, 9, 1], [0, 12, 29, 326, 363, 2233, 1386, 4257, 2838, 2134, 2145, 232, 399, 21, 8, 1], [0, 12, 29, 327, 352, 2288, 1221, 4587, 2376, 2596, 1815, 397, 344, 32, 7, 1], [0, 12, 29, 328, 341, 2343, 1056, 4917, 1914, 3058, 1485, 562, 289, 43, 6, 1], [0, 12, 29, 329, 330, 2398, 891, 5247, 1452, 3520, 1155, 727, 234, 54, 5, 1], [0, 12, 29, 330, 319, 2453, 726, 5577, 990, 3982, 825, 892, 179, 65, 4, 1], [0, 12, 29, 330, 320, 2442, 781, 5412, 1320, 3520, 1287, 562, 344, 10, 15, 0], [0, 12, 29, 331, 308, 2508, 561, 5907, 528, 4444, 495, 1057, 124, 76, 3, 1], [0, 12, 29, 331, 309, 2497, 616, 5742, 858, 3982, 957, 727, 289, 21, 14, 0], [0, 12, 29, 332, 297, 2563, 396, 6237, 66, 4906, 165, 1222, 69, 87, 2, 1], [0, 12, 29, 332, 298, 2552, 451, 6072, 396, 4444, 627, 892, 234, 32, 13, 0], [0, 12, 30, 312, 450, 1914, 2156, 2970, 4356, 880, 2838, 12, 410, 42, 0, 2], [0, 12, 30, 314, 429, 2013, 1881, 3465, 3762, 1342, 2640, 12, 465, 9, 9, 1], [0, 12, 30, 315, 418, 2068, 1716, 3795, 3300, 1804, 2310, 177, 410, 20, 8, 1], [0, 12, 30, 316, 407, 2123, 1551, 4125, 2838, 2266, 1980, 342, 355, 31, 7, 1], [0, 12, 30, 317, 396, 2178, 1386, 4455, 2376, 2728, 1650, 507, 300, 42, 6, 1], [0, 12, 30, 318, 385, 2233, 1221, 4785, 1914, 3190, 1320, 672, 245, 53, 5, 1], [0, 12, 30, 319, 374, 2288, 1056, 5115, 1452, 3652, 990, 837, 190, 64, 4, 1], [0, 12, 30, 319, 375, 2277, 1111, 4950, 1782, 3190, 1452, 507, 355, 9, 15, 0], [0, 12, 30, 320, 363, 2343, 891, 5445, 990, 4114, 660, 1002, 135, 75, 3, 1], [0, 12, 30, 320, 364, 2332, 946, 5280, 1320, 3652, 1122, 672, 300, 20, 14, 0], [0, 12, 30, 321, 352, 2398, 726, 5775, 528, 4576, 330, 1167, 80, 86, 2, 1], [0, 12, 30, 321, 353, 2387, 781, 5610, 858, 4114, 792, 837, 245, 31, 13, 0], [0, 12, 30, 322, 341, 2453, 561, 6105, 66, 5038, 0, 1332, 25, 97, 1, 1], [0, 12, 30, 322, 342, 2442, 616, 5940, 396, 4576, 462, 1002, 190, 42, 12, 0], [0, 12, 31, 304, 473, 1903, 2046, 3333, 3762, 1474, 2475, 122, 421, 19, 8, 1], [0, 12, 31, 305, 462, 1958, 1881, 3663, 3300, 1936, 2145, 287, 366, 30, 7, 1], [0, 12, 31, 306, 451, 2013, 1716, 3993, 2838, 2398, 1815, 452, 311, 41, 6, 1], [0, 12, 31, 307, 440, 2068, 1551, 4323, 2376, 2860, 1485, 617, 256, 52, 5, 1], [0, 12, 31, 308, 429, 2123, 1386, 4653, 1914, 3322, 1155, 782, 201, 63, 4, 1], [0, 12, 31, 308, 430, 2112, 1441, 4488, 2244, 2860, 1617, 452, 366, 8, 15, 0], [0, 12, 31, 309, 418, 2178, 1221, 4983, 1452, 3784, 825, 947, 146, 74, 3, 1], [0, 12, 31, 309, 419, 2167, 1276, 4818, 1782, 3322, 1287, 617, 311, 19, 14, 0], [0, 12, 31, 310, 407, 2233, 1056, 5313, 990, 4246, 495, 1112, 91, 85, 2, 1], [0, 12, 31, 310, 408, 2222, 1111, 5148, 1320, 3784, 957, 782, 256, 30, 13, 0], [0, 12, 31, 311, 396, 2288, 891, 5643, 528, 4708, 165, 1277, 36, 96, 1, 1], [0, 12, 31, 311, 397, 2277, 946, 5478, 858, 4246, 627, 947, 201, 41, 12, 0], [0, 12, 31, 312, 386, 2332, 781, 5808, 396, 4708, 297, 1112, 146, 52, 11, 0], [0, 12, 32, 293, 528, 1738, 2376, 2871, 4224, 1144, 2640, 67, 432, 18, 8, 1], [0, 12, 32, 294, 517, 1793, 2211, 3201, 3762, 1606, 2310, 232, 377, 29, 7, 1], [0, 12, 32, 295, 506, 1848, 2046, 3531, 3300, 2068, 1980, 397, 322, 40, 6, 1], [0, 12, 32, 296, 495, 1903, 1881, 3861, 2838, 2530, 1650, 562, 267, 51, 5, 1], [0, 12, 32, 297, 484, 1958, 1716, 4191, 2376, 2992, 1320, 727, 212, 62, 4, 1], [0, 12, 32, 297, 485, 1947, 1771, 4026, 2706, 2530, 1782, 397, 377, 7, 15, 0], [0, 12, 32, 298, 473, 2013, 1551, 4521, 1914, 3454, 990, 892, 157, 73, 3, 1], [0, 12, 32, 298, 474, 2002, 1606, 4356, 2244, 2992, 1452, 562, 322, 18, 14, 0], [0, 12, 32, 299, 462, 2068, 1386, 4851, 1452, 3916, 660, 1057, 102, 84, 2, 1], [0, 12, 32, 299, 463, 2057, 1441, 4686, 1782, 3454, 1122, 727, 267, 29, 13, 0], [0, 12, 32, 300, 451, 2123, 1221, 5181, 990, 4378, 330, 1222, 47, 95, 1, 1], [0, 12, 32, 300, 452, 2112, 1276, 5016, 1320, 3916, 792, 892, 212, 40, 12, 0], [0, 12, 32, 301, 441, 2167, 1111, 5346, 858, 4378, 462, 1057, 157, 51, 11, 0], [0, 12, 32, 302, 430, 2222, 946, 5676, 396, 4840, 132, 1222, 102, 62, 10, 0], [0, 12, 33, 282, 583, 1573, 2706, 2409, 4686, 814, 2805, 12, 443, 17, 8, 1], [0, 12, 33, 283, 572, 1628, 2541, 2739, 4224, 1276, 2475, 177, 388, 28, 7, 1], [0, 12, 33, 284, 561, 1683, 2376, 3069, 3762, 1738, 2145, 342, 333, 39, 6, 1], [0, 12, 33, 285, 550, 1738, 2211, 3399, 3300, 2200, 1815, 507, 278, 50, 5, 1], [0, 12, 33, 286, 539, 1793, 2046, 3729, 2838, 2662, 1485, 672, 223, 61, 4, 1], [0, 12, 33, 286, 540, 1782, 2101, 3564, 3168, 2200, 1947, 342, 388, 6, 15, 0], [0, 12, 33, 287, 528, 1848, 1881, 4059, 2376, 3124, 1155, 837, 168, 72, 3, 1], [0, 12, 33, 287, 529, 1837, 1936, 3894, 2706, 2662, 1617, 507, 333, 17, 14, 0], [0, 12, 33, 288, 517, 1903, 1716, 4389, 1914, 3586, 825, 1002, 113, 83, 2, 1], [0, 12, 33, 288, 518, 1892, 1771, 4224, 2244, 3124, 1287, 672, 278, 28, 13, 0], [0, 12, 33, 289, 506, 1958, 1551, 4719, 1452, 4048, 495, 1167, 58, 94, 1, 1], [0, 12, 33, 289, 507, 1947, 1606, 4554, 1782, 3586, 957, 837, 223, 39, 12, 0], [0, 12, 33, 290, 495, 2013, 1386, 5049, 990, 4510, 165, 1332, 3, 105, 0, 1], [0, 12, 33, 290, 496, 2002, 1441, 4884, 1320, 4048, 627, 1002, 168, 50, 11, 0], [0, 12, 33, 291, 485, 2057, 1276, 5214, 858, 4510, 297, 1167, 113, 61, 10, 0], [0, 12, 34, 272, 627, 1463, 2871, 2277, 4686, 946, 2640, 122, 399, 27, 7, 1], [0, 12, 34, 273, 616, 1518, 2706, 2607, 4224, 1408, 2310, 287, 344, 38, 6, 1], [0, 12, 34, 274, 605, 1573, 2541, 2937, 3762, 1870, 1980, 452, 289, 49, 5, 1], [0, 12, 34, 275, 594, 1628, 2376, 3267, 3300, 2332, 1650, 617, 234, 60, 4, 1], [0, 12, 34, 275, 595, 1617, 2431, 3102, 3630, 1870, 2112, 287, 399, 5, 15, 0], [0, 12, 34, 276, 583, 1683, 2211, 3597, 2838, 2794, 1320, 782, 179, 71, 3, 1], [0, 12, 34, 276, 584, 1672, 2266, 3432, 3168, 2332, 1782, 452, 344, 16, 14, 0], [0, 12, 34, 277, 572, 1738, 2046, 3927, 2376, 3256, 990, 947, 124, 82, 2, 1], [0, 12, 34, 277, 573, 1727, 2101, 3762, 2706, 2794, 1452, 617, 289, 27, 13, 0], [0, 12, 34, 278, 561, 1793, 1881, 4257, 1914, 3718, 660, 1112, 69, 93, 1, 1], [0, 12, 34, 278, 562, 1782, 1936, 4092, 2244, 3256, 1122, 782, 234, 38, 12, 0], [0, 12, 34, 279, 550, 1848, 1716, 4587, 1452, 4180, 330, 1277, 14, 104, 0, 1], [0, 12, 34, 279, 551, 1837, 1771, 4422, 1782, 3718, 792, 947, 179, 49, 11, 0], [0, 12, 34, 280, 540, 1892, 1606, 4752, 1320, 4180, 462, 1112, 124, 60, 10, 0], [0, 12, 34, 281, 529, 1947, 1441, 5082, 858, 4642, 132, 1277, 69, 71, 9, 0], [0, 12, 35, 261, 682, 1298, 3201, 1815, 5148, 616, 2805, 67, 410, 26, 7, 1], [0, 12, 35, 262, 671, 1353, 3036, 2145, 4686, 1078, 2475, 232, 355, 37, 6, 1], [0, 12, 35, 263, 660, 1408, 2871, 2475, 4224, 1540, 2145, 397, 300, 48, 5, 1], [0, 12, 35, 264, 649, 1463, 2706, 2805, 3762, 2002, 1815, 562, 245, 59, 4, 1], [0, 12, 35, 264, 650, 1452, 2761, 2640, 4092, 1540, 2277, 232, 410, 4, 15, 0], [0, 12, 35, 265, 638, 1518, 2541, 3135, 3300, 2464, 1485, 727, 190, 70, 3, 1], [0, 12, 35, 265, 639, 1507, 2596, 2970, 3630, 2002, 1947, 397, 355, 15, 14, 0], [0, 12, 35, 266, 627, 1573, 2376, 3465, 2838, 2926, 1155, 892, 135, 81, 2, 1], [0, 12, 35, 266, 628, 1562, 2431, 3300, 3168, 2464, 1617, 562, 300, 26, 13, 0], [0, 12, 35, 267, 616, 1628, 2211, 3795, 2376, 3388, 825, 1057, 80, 92, 1, 1], [0, 12, 35, 267, 617, 1617, 2266, 3630, 2706, 2926, 1287, 727, 245, 37, 12, 0], [0, 12, 35, 268, 605, 1683, 2046, 4125, 1914, 3850, 495, 1222, 25, 103, 0, 1], [0, 12, 35, 268, 606, 1672, 2101, 3960, 2244, 3388, 957, 892, 190, 48, 11, 0], [0, 12, 35, 269, 595, 1727, 1936, 4290, 1782, 3850, 627, 1057, 135, 59, 10, 0], [0, 12, 35, 270, 584, 1782, 1771, 4620, 1320, 4312, 297, 1222, 80, 70, 9, 0], [0, 12, 36, 250, 737, 1133, 3531, 1353, 5610, 286, 2970, 12, 421, 25, 7, 1], [0, 12, 36, 251, 726, 1188, 3366, 1683, 5148, 748, 2640, 177, 366, 36, 6, 1], [0, 12, 36, 252, 715, 1243, 3201, 2013, 4686, 1210, 2310, 342, 311, 47, 5, 1], [0, 12, 36, 253, 704, 1298, 3036, 2343, 4224, 1672, 1980, 507, 256, 58, 4, 1], [0, 12, 36, 253, 705, 1287, 3091, 2178, 4554, 1210, 2442, 177, 421, 3, 15, 0], [0, 12, 36, 254, 693, 1353, 2871, 2673, 3762, 2134, 1650, 672, 201, 69, 3, 1], [0, 12, 36, 254, 694, 1342, 2926, 2508, 4092, 1672, 2112, 342, 366, 14, 14, 0], [0, 12, 36, 255, 682, 1408, 2706, 3003, 3300, 2596, 1320, 837, 146, 80, 2, 1], [0, 12, 36, 255, 683, 1397, 2761, 2838, 3630, 2134, 1782, 507, 311, 25, 13, 0], [0, 12, 36, 256, 671, 1463, 2541, 3333, 2838, 3058, 990, 1002, 91, 91, 1, 1], [0, 12, 36, 256, 672, 1452, 2596, 3168, 3168, 2596, 1452, 672, 256, 36, 12, 0], [0, 12, 36, 257, 660, 1518, 2376, 3663, 2376, 3520, 660, 1167, 36, 102, 0, 1], [0, 12, 36, 257, 661, 1507, 2431, 3498, 2706, 3058, 1122, 837, 201, 47, 11, 0], [0, 12, 36, 258, 650, 1562, 2266, 3828, 2244, 3520, 792, 1002, 146, 58, 10, 0], [0, 12, 36, 259, 639, 1617, 2101, 4158, 1782, 3982, 462, 1167, 91, 69, 9, 0], [0, 12, 36, 260, 628, 1672, 1936, 4488, 1320, 4444, 132, 1332, 36, 80, 8, 0], [0, 12, 37, 240, 781, 1023, 3696, 1221, 5610, 418, 2805, 122, 377, 35, 6, 1], [0, 12, 37, 241, 770, 1078, 3531, 1551, 5148, 880, 2475, 287, 322, 46, 5, 1], [0, 12, 37, 242, 759, 1133, 3366, 1881, 4686, 1342, 2145, 452, 267, 57, 4, 1], [0, 12, 37, 242, 760, 1122, 3421, 1716, 5016, 880, 2607, 122, 432, 2, 15, 0], [0, 12, 37, 243, 748, 1188, 3201, 2211, 4224, 1804, 1815, 617, 212, 68, 3, 1], [0, 12, 37, 243, 749, 1177, 3256, 2046, 4554, 1342, 2277, 287, 377, 13, 14, 0], [0, 12, 37, 244, 737, 1243, 3036, 2541, 3762, 2266, 1485, 782, 157, 79, 2, 1], [0, 12, 37, 244, 738, 1232, 3091, 2376, 4092, 1804, 1947, 452, 322, 24, 13, 0], [0, 12, 37, 245, 726, 1298, 2871, 2871, 3300, 2728, 1155, 947, 102, 90, 1, 1], [0, 12, 37, 245, 727, 1287, 2926, 2706, 3630, 2266, 1617, 617, 267, 35, 12, 0], [0, 12, 37, 246, 715, 1353, 2706, 3201, 2838, 3190, 825, 1112, 47, 101, 0, 1], [0, 12, 37, 246, 716, 1342, 2761, 3036, 3168, 2728, 1287, 782, 212, 46, 11, 0], [0, 12, 37, 247, 705, 1397, 2596, 3366, 2706, 3190, 957, 947, 157, 57, 10, 0], [0, 12, 37, 248, 694, 1452, 2431, 3696, 2244, 3652, 627, 1112, 102, 68, 9, 0], [0, 12, 37, 249, 683, 1507, 2266, 4026, 1782, 4114, 297, 1277, 47, 79, 8, 0], [0, 12, 38, 229, 836, 858, 4026, 759, 6072, 88, 2970, 67, 388, 34, 6, 1], [0, 12, 38, 230, 825, 913, 3861, 1089, 5610, 550, 2640, 232, 333, 45, 5, 1], [0, 12, 38, 231, 814, 968, 3696, 1419, 5148, 1012, 2310, 397, 278, 56, 4, 1], [0, 12, 38, 231, 815, 957, 3751, 1254, 5478, 550, 2772, 67, 443, 1, 15, 0], [0, 12, 38, 232, 803, 1023, 3531, 1749, 4686, 1474, 1980, 562, 223, 67, 3, 1], [0, 12, 38, 232, 804, 1012, 3586, 1584, 5016, 1012, 2442, 232, 388, 12, 14, 0], [0, 12, 38, 233, 792, 1078, 3366, 2079, 4224, 1936, 1650, 727, 168, 78, 2, 1], [0, 12, 38, 233, 793, 1067, 3421, 1914, 4554, 1474, 2112, 397, 333, 23, 13, 0], [0, 12, 38, 234, 781, 1133, 3201, 2409, 3762, 2398, 1320, 892, 113, 89, 1, 1], [0, 12, 38, 234, 782, 1122, 3256, 2244, 4092, 1936, 1782, 562, 278, 34, 12, 0], [0, 12, 38, 235, 770, 1188, 3036, 2739, 3300, 2860, 990, 1057, 58, 100, 0, 1], [0, 12, 38, 235, 771, 1177, 3091, 2574, 3630, 2398, 1452, 727, 223, 45, 11, 0], [0, 12, 38, 236, 760, 1232, 2926, 2904, 3168, 2860, 1122, 892, 168, 56, 10, 0], [0, 12, 38, 237, 749, 1287, 2761, 3234, 2706, 3322, 792, 1057, 113, 67, 9, 0], [0, 12, 38, 238, 738, 1342, 2596, 3564, 2244, 3784, 462, 1222, 58, 78, 8, 0], [0, 12, 38, 239, 727, 1397, 2431, 3894, 1782, 4246, 132, 1387, 3, 89, 7, 0], [0, 12, 39, 219, 880, 748, 4191, 627, 6072, 220, 2805, 177, 344, 44, 5, 1], [0, 12, 39, 220, 869, 803, 4026, 957, 5610, 682, 2475, 342, 289, 55, 4, 1], [0, 12, 39, 220, 870, 792, 4081, 792, 5940, 220, 2937, 12, 454, 0, 15, 0], [0, 12, 39, 221, 858, 858, 3861, 1287, 5148, 1144, 2145, 507, 234, 66, 3, 1], [0, 12, 39, 221, 859, 847, 3916, 1122, 5478, 682, 2607, 177, 399, 11, 14, 0], [0, 12, 39, 222, 847, 913, 3696, 1617, 4686, 1606, 1815, 672, 179, 77, 2, 1], [0, 12, 39, 222, 848, 902, 3751, 1452, 5016, 1144, 2277, 342, 344, 22, 13, 0], [0, 12, 39, 223, 836, 968, 3531, 1947, 4224, 2068, 1485, 837, 124, 88, 1, 1], [0, 12, 39, 223, 837, 957, 3586, 1782, 4554, 1606, 1947, 507, 289, 33, 12, 0], [0, 12, 39, 224, 825, 1023, 3366, 2277, 3762, 2530, 1155, 1002, 69, 99, 0, 1], [0, 12, 39, 224, 826, 1012, 3421, 2112, 4092, 2068, 1617, 672, 234, 44, 11, 0], [0, 12, 39, 225, 815, 1067, 3256, 2442, 3630, 2530, 1287, 837, 179, 55, 10, 0], [0, 12, 39, 226, 804, 1122, 3091, 2772, 3168, 2992, 957, 1002, 124, 66, 9, 0], [0, 12, 39, 227, 793, 1177, 2926, 3102, 2706, 3454, 627, 1167, 69, 77, 8, 0], [0, 12, 39, 228, 782, 1232, 2761, 3432, 2244, 3916, 297, 1332, 14, 88, 7, 0], [0, 12, 40, 209, 924, 638, 4356, 495, 6072, 352, 2640, 287, 300, 54, 4, 1], [0, 12, 40, 210, 913, 693, 4191, 825, 5610, 814, 2310, 452, 245, 65, 3, 1], [0, 12, 40, 210, 914, 682, 4246, 660, 5940, 352, 2772, 122, 410, 10, 14, 0], [0, 12, 40, 211, 902, 748, 4026, 1155, 5148, 1276, 1980, 617, 190, 76, 2, 1], [0, 12, 40, 211, 903, 737, 4081, 990, 5478, 814, 2442, 287, 355, 21, 13, 0], [0, 12, 40, 212, 891, 803, 3861, 1485, 4686, 1738, 1650, 782, 135, 87, 1, 1], [0, 12, 40, 212, 892, 792, 3916, 1320, 5016, 1276, 2112, 452, 300, 32, 12, 0], [0, 12, 40, 213, 880, 858, 3696, 1815, 4224, 2200, 1320, 947, 80, 98, 0, 1], [0, 12, 40, 213, 881, 847, 3751, 1650, 4554, 1738, 1782, 617, 245, 43, 11, 0], [0, 12, 40, 214, 870, 902, 3586, 1980, 4092, 2200, 1452, 782, 190, 54, 10, 0], [0, 12, 40, 215, 859, 957, 3421, 2310, 3630, 2662, 1122, 947, 135, 65, 9, 0], [0, 12, 40, 216, 848, 1012, 3256, 2640, 3168, 3124, 792, 1112, 80, 76, 8, 0], [0, 12, 40, 217, 837, 1067, 3091, 2970, 2706, 3586, 462, 1277, 25, 87, 7, 0], [0, 12, 41, 198, 979, 473, 4686, 33, 6534, 22, 2805, 232, 311, 53, 4, 1], [0, 12, 41, 199, 968, 528, 4521, 363, 6072, 484, 2475, 397, 256, 64, 3, 1], [0, 12, 41, 199, 969, 517, 4576, 198, 6402, 22, 2937, 67, 421, 9, 14, 0], [0, 12, 41, 200, 957, 583, 4356, 693, 5610, 946, 2145, 562, 201, 75, 2, 1], [0, 12, 41, 200, 958, 572, 4411, 528, 5940, 484, 2607, 232, 366, 20, 13, 0], [0, 12, 41, 201, 946, 638, 4191, 1023, 5148, 1408, 1815, 727, 146, 86, 1, 1], [0, 12, 41, 201, 947, 627, 4246, 858, 5478, 946, 2277, 397, 311, 31, 12, 0], [0, 12, 41, 202, 935, 693, 4026, 1353, 4686, 1870, 1485, 892, 91, 97, 0, 1], [0, 12, 41, 202, 936, 682, 4081, 1188, 5016, 1408, 1947, 562, 256, 42, 11, 0], [0, 12, 41, 203, 925, 737, 3916, 1518, 4554, 1870, 1617, 727, 201, 53, 10, 0], [0, 12, 41, 204, 914, 792, 3751, 1848, 4092, 2332, 1287, 892, 146, 64, 9, 0], [0, 12, 41, 205, 903, 847, 3586, 2178, 3630, 2794, 957, 1057, 91, 75, 8, 0], [0, 12, 41, 206, 892, 902, 3421, 2508, 3168, 3256, 627, 1222, 36, 86, 7, 0], [0, 12, 42, 189, 1012, 418, 4686, 231, 6072, 616, 2310, 507, 212, 74, 2, 1], [0, 12, 42, 189, 1013, 407, 4741, 66, 6402, 154, 2772, 177, 377, 19, 13, 0], [0, 12, 42, 190, 1001, 473, 4521, 561, 5610, 1078, 1980, 672, 157, 85, 1, 1], [0, 12, 42, 190, 1002, 462, 4576, 396, 5940, 616, 2442, 342, 322, 30, 12, 0], [0, 12, 42, 191, 990, 528, 4356, 891, 5148, 1540, 1650, 837, 102, 96, 0, 1], [0, 12, 42, 191, 991, 517, 4411, 726, 5478, 1078, 2112, 507, 267, 41, 11, 0], [0, 12, 42, 192, 980, 572, 4246, 1056, 5016, 1540, 1782, 672, 212, 52, 10, 0], [0, 12, 42, 193, 969, 627, 4081, 1386, 4554, 2002, 1452, 837, 157, 63, 9, 0], [0, 12, 42, 194, 958, 682, 3916, 1716, 4092, 2464, 1122, 1002, 102, 74, 8, 0], [0, 12, 42, 195, 947, 737, 3751, 2046, 3630, 2926, 792, 1167, 47, 85, 7, 0], [0, 12, 43, 179, 1056, 308, 4851, 99, 6072, 748, 2145, 617, 168, 84, 1, 1], [0, 12, 43, 180, 1045, 363, 4686, 429, 5610, 1210, 1815, 782, 113, 95, 0, 1], [0, 12, 43, 180, 1046, 352, 4741, 264, 5940, 748, 2277, 452, 278, 40, 11, 0], [0, 12, 43, 181, 1035, 407, 4576, 594, 5478, 1210, 1947, 617, 223, 51, 10, 0], [0, 12, 43, 182, 1024, 462, 4411, 924, 5016, 1672, 1617, 782, 168, 62, 9, 0], [0, 12, 43, 183, 1013, 517, 4246, 1254, 4554, 2134, 1287, 947, 113, 73, 8, 0], [0, 12, 43, 184, 1002, 572, 4081, 1584, 4092, 2596, 957, 1112, 58, 84, 7, 0], [0, 12, 43, 185, 991, 627, 3916, 1914, 3630, 3058, 627, 1277, 3, 95, 6, 0], [0, 12, 44, 170, 1090, 242, 4906, 132, 5940, 880, 2112, 562, 234, 50, 10, 0], [0, 12, 44, 171, 1079, 297, 4741, 462, 5478, 1342, 1782, 727, 179, 61, 9, 0], [0, 12, 44, 172, 1068, 352, 4576, 792, 5016, 1804, 1452, 892, 124, 72, 8, 0], [0, 12, 44, 173, 1057, 407, 4411, 1122, 4554, 2266, 1122, 1057, 69, 83, 7, 0], [0, 12, 44, 174, 1046, 462, 4246, 1452, 4092, 2728, 792, 1222, 14, 94, 6, 0], [0, 12, 45, 160, 1134, 132, 5071, 0, 5940, 1012, 1947, 672, 190, 60, 9, 0], [0, 12, 45, 161, 1123, 187, 4906, 330, 5478, 1474, 1617, 837, 135, 71, 8, 0], [0, 12, 45, 162, 1112, 242, 4741, 660, 5016, 1936, 1287, 1002, 80, 82, 7, 0], [0, 12, 45, 163, 1101, 297, 4576, 990, 4554, 2398, 957, 1167, 25, 93, 6, 0], [0, 12, 46, 151, 1167, 77, 5071, 198, 5478, 1606, 1452, 947, 91, 81, 7, 0], [0, 12, 46, 152, 1156, 132, 4906, 528, 5016, 2068, 1122, 1112, 36, 92, 6, 0], [0, 13, 14, 421, 21, 3014, 209, 5412, 2178, 2233, 2288, 133, 409, 36, 1, 2], [0, 13, 14, 422, 10, 3069, 44, 5742, 1716, 2695, 1958, 298, 354, 47, 0, 2], [0, 13, 15, 410, 76, 2849, 539, 4950, 2640, 1903, 2453, 78, 420, 35, 1, 2], [0, 13, 15, 411, 65, 2904, 374, 5280, 2178, 2365, 2123, 243, 365, 46, 0, 2], [0, 13, 15, 412, 55, 2948, 264, 5445, 2046, 2365, 2255, 78, 475, 2, 10, 1], [0, 13, 15, 413, 44, 3003, 99, 5775, 1584, 2827, 1925, 243, 420, 13, 9, 1], [0, 13, 16, 399, 131, 2684, 869, 4488, 3102, 1573, 2618, 23, 431, 34, 1, 2], [0, 13, 16, 400, 120, 2739, 704, 4818, 2640, 2035, 2288, 188, 376, 45, 0, 2], [0, 13, 16, 401, 110, 2783, 594, 4983, 2508, 2035, 2420, 23, 486, 1, 10, 1], [0, 13, 16, 402, 99, 2838, 429, 5313, 2046, 2497, 2090, 188, 431, 12, 9, 1], [0, 13, 16, 403, 88, 2893, 264, 5643, 1584, 2959, 1760, 353, 376, 23, 8, 1], [0, 13, 16, 404, 77, 2948, 99, 5973, 1122, 3421, 1430, 518, 321, 34, 7, 1], [0, 13, 17, 389, 175, 2574, 1034, 4356, 3102, 1705, 2453, 133, 387, 44, 0, 2], [0, 13, 17, 391, 154, 2673, 759, 4851, 2508, 2167, 2255, 133, 442, 11, 9, 1], [0, 13, 17, 392, 143, 2728, 594, 5181, 2046, 2629, 1925, 298, 387, 22, 8, 1], [0, 13, 17, 393, 132, 2783, 429, 5511, 1584, 3091, 1595, 463, 332, 33, 7, 1], [0, 13, 17, 394, 121, 2838, 264, 5841, 1122, 3553, 1265, 628, 277, 44, 6, 1], [0, 13, 17, 395, 110, 2893, 99, 6171, 660, 4015, 935, 793, 222, 55, 5, 1], [0, 13, 17, 395, 111, 2882, 154, 6006, 990, 3553, 1397, 463, 387, 0, 16, 0], [0, 13, 18, 378, 230, 2409, 1364, 3894, 3564, 1375, 2618, 78, 398, 43, 0, 2], [0, 13, 18, 380, 209, 2508, 1089, 4389, 2970, 1837, 2420, 78, 453, 10, 9, 1], [0, 13, 18, 381, 198, 2563, 924, 4719, 2508, 2299, 2090, 243, 398, 21, 8, 1], [0, 13, 18, 382, 187, 2618, 759, 5049, 2046, 2761, 1760, 408, 343, 32, 7, 1], [0, 13, 18, 383, 176, 2673, 594, 5379, 1584, 3223, 1430, 573, 288, 43, 6, 1], [0, 13, 18, 384, 165, 2728, 429, 5709, 1122, 3685, 1100, 738, 233, 54, 5, 1], [0, 13, 18, 385, 154, 2783, 264, 6039, 660, 4147, 770, 903, 178, 65, 4, 1], [0, 13, 18, 385, 155, 2772, 319, 5874, 990, 3685, 1232, 573, 343, 10, 15, 0], [0, 13, 18, 386, 143, 2838, 99, 6369, 198, 4609, 440, 1068, 123, 76, 3, 1], [0, 13, 18, 386, 144, 2827, 154, 6204, 528, 4147, 902, 738, 288, 21, 14, 0], [0, 13, 19, 367, 285, 2244, 1694, 3432, 4026, 1045, 2783, 23, 409, 42, 0, 2], [0, 13, 19, 369, 264, 2343, 1419, 3927, 3432, 1507, 2585, 23, 464, 9, 9, 1], [0, 13, 19, 370, 253, 2398, 1254, 4257, 2970, 1969, 2255, 188, 409, 20, 8, 1], [0, 13, 19, 371, 242, 2453, 1089, 4587, 2508, 2431, 1925, 353, 354, 31, 7, 1], [0, 13, 19, 372, 231, 2508, 924, 4917, 2046, 2893, 1595, 518, 299, 42, 6, 1], [0, 13, 19, 373, 220, 2563, 759, 5247, 1584, 3355, 1265, 683, 244, 53, 5, 1], [0, 13, 19, 374, 209, 2618, 594, 5577, 1122, 3817, 935, 848, 189, 64, 4, 1], [0, 13, 19, 374, 210, 2607, 649, 5412, 1452, 3355, 1397, 518, 354, 9, 15, 0], [0, 13, 19, 375, 198, 2673, 429, 5907, 660, 4279, 605, 1013, 134, 75, 3, 1], [0, 13, 19, 375, 199, 2662, 484, 5742, 990, 3817, 1067, 683, 299, 20, 14, 0], [0, 13, 19, 376, 187, 2728, 264, 6237, 198, 4741, 275, 1178, 79, 86, 2, 1], [0, 13, 19, 376, 188, 2717, 319, 6072, 528, 4279, 737, 848, 244, 31, 13, 0], [0, 13, 19, 377, 177, 2772, 154, 6402, 66, 4741, 407, 1013, 189, 42, 12, 0], [0, 13, 20, 359, 308, 2233, 1584, 3795, 3432, 1639, 2420, 133, 420, 19, 8, 1], [0, 13, 20, 360, 297, 2288, 1419, 4125, 2970, 2101, 2090, 298, 365, 30, 7, 1], [0, 13, 20, 361, 286, 2343, 1254, 4455, 2508, 2563, 1760, 463, 310, 41, 6, 1], [0, 13, 20, 362, 275, 2398, 1089, 4785, 2046, 3025, 1430, 628, 255, 52, 5, 1], [0, 13, 20, 363, 264, 2453, 924, 5115, 1584, 3487, 1100, 793, 200, 63, 4, 1], [0, 13, 20, 363, 265, 2442, 979, 4950, 1914, 3025, 1562, 463, 365, 8, 15, 0], [0, 13, 20, 364, 253, 2508, 759, 5445, 1122, 3949, 770, 958, 145, 74, 3, 1], [0, 13, 20, 364, 254, 2497, 814, 5280, 1452, 3487, 1232, 628, 310, 19, 14, 0], [0, 13, 20, 365, 242, 2563, 594, 5775, 660, 4411, 440, 1123, 90, 85, 2, 1], [0, 13, 20, 365, 243, 2552, 649, 5610, 990, 3949, 902, 793, 255, 30, 13, 0], [0, 13, 20, 366, 231, 2618, 429, 6105, 198, 4873, 110, 1288, 35, 96, 1, 1], [0, 13, 20, 366, 232, 2607, 484, 5940, 528, 4411, 572, 958, 200, 41, 12, 0], [0, 13, 20, 367, 221, 2662, 319, 6270, 66, 4873, 242, 1123, 145, 52, 11, 0], [0, 13, 21, 348, 363, 2068, 1914, 3333, 3894, 1309, 2585, 78, 431, 18, 8, 1], [0, 13, 21, 349, 352, 2123, 1749, 3663, 3432, 1771, 2255, 243, 376, 29, 7, 1], [0, 13, 21, 350, 341, 2178, 1584, 3993, 2970, 2233, 1925, 408, 321, 40, 6, 1], [0, 13, 21, 351, 330, 2233, 1419, 4323, 2508, 2695, 1595, 573, 266, 51, 5, 1], [0, 13, 21, 352, 319, 2288, 1254, 4653, 2046, 3157, 1265, 738, 211, 62, 4, 1], [0, 13, 21, 352, 320, 2277, 1309, 4488, 2376, 2695, 1727, 408, 376, 7, 15, 0], [0, 13, 21, 353, 308, 2343, 1089, 4983, 1584, 3619, 935, 903, 156, 73, 3, 1], [0, 13, 21, 353, 309, 2332, 1144, 4818, 1914, 3157, 1397, 573, 321, 18, 14, 0], [0, 13, 21, 354, 297, 2398, 924, 5313, 1122, 4081, 605, 1068, 101, 84, 2, 1], [0, 13, 21, 354, 298, 2387, 979, 5148, 1452, 3619, 1067, 738, 266, 29, 13, 0], [0, 13, 21, 355, 286, 2453, 759, 5643, 660, 4543, 275, 1233, 46, 95, 1, 1], [0, 13, 21, 355, 287, 2442, 814, 5478, 990, 4081, 737, 903, 211, 40, 12, 0], [0, 13, 21, 356, 276, 2497, 649, 5808, 528, 4543, 407, 1068, 156, 51, 11, 0], [0, 13, 21, 357, 265, 2552, 484, 6138, 66, 5005, 77, 1233, 101, 62, 10, 0], [0, 13, 22, 337, 418, 1903, 2244, 2871, 4356, 979, 2750, 23, 442, 17, 8, 1], [0, 13, 22, 338, 407, 1958, 2079, 3201, 3894, 1441, 2420, 188, 387, 28, 7, 1], [0, 13, 22, 339, 396, 2013, 1914, 3531, 3432, 1903, 2090, 353, 332, 39, 6, 1], [0, 13, 22, 340, 385, 2068, 1749, 3861, 2970, 2365, 1760, 518, 277, 50, 5, 1], [0, 13, 22, 341, 374, 2123, 1584, 4191, 2508, 2827, 1430, 683, 222, 61, 4, 1], [0, 13, 22, 341, 375, 2112, 1639, 4026, 2838, 2365, 1892, 353, 387, 6, 15, 0], [0, 13, 22, 342, 363, 2178, 1419, 4521, 2046, 3289, 1100, 848, 167, 72, 3, 1], [0, 13, 22, 342, 364, 2167, 1474, 4356, 2376, 2827, 1562, 518, 332, 17, 14, 0], [0, 13, 22, 343, 352, 2233, 1254, 4851, 1584, 3751, 770, 1013, 112, 83, 2, 1], [0, 13, 22, 343, 353, 2222, 1309, 4686, 1914, 3289, 1232, 683, 277, 28, 13, 0], [0, 13, 22, 344, 341, 2288, 1089, 5181, 1122, 4213, 440, 1178, 57, 94, 1, 1], [0, 13, 22, 344, 342, 2277, 1144, 5016, 1452, 3751, 902, 848, 222, 39, 12, 0], [0, 13, 22, 345, 330, 2343, 924, 5511, 660, 4675, 110, 1343, 2, 105, 0, 1], [0, 13, 22, 345, 331, 2332, 979, 5346, 990, 4213, 572, 1013, 167, 50, 11, 0], [0, 13, 22, 346, 320, 2387, 814, 5676, 528, 4675, 242, 1178, 112, 61, 10, 0], [0, 13, 23, 327, 462, 1793, 2409, 2739, 4356, 1111, 2585, 133, 398, 27, 7, 1], [0, 13, 23, 328, 451, 1848, 2244, 3069, 3894, 1573, 2255, 298, 343, 38, 6, 1], [0, 13, 23, 329, 440, 1903, 2079, 3399, 3432, 2035, 1925, 463, 288, 49, 5, 1], [0, 13, 23, 330, 429, 1958, 1914, 3729, 2970, 2497, 1595, 628, 233, 60, 4, 1], [0, 13, 23, 330, 430, 1947, 1969, 3564, 3300, 2035, 2057, 298, 398, 5, 15, 0], [0, 13, 23, 331, 418, 2013, 1749, 4059, 2508, 2959, 1265, 793, 178, 71, 3, 1], [0, 13, 23, 331, 419, 2002, 1804, 3894, 2838, 2497, 1727, 463, 343, 16, 14, 0], [0, 13, 23, 332, 407, 2068, 1584, 4389, 2046, 3421, 935, 958, 123, 82, 2, 1], [0, 13, 23, 332, 408, 2057, 1639, 4224, 2376, 2959, 1397, 628, 288, 27, 13, 0], [0, 13, 23, 333, 396, 2123, 1419, 4719, 1584, 3883, 605, 1123, 68, 93, 1, 1], [0, 13, 23, 333, 397, 2112, 1474, 4554, 1914, 3421, 1067, 793, 233, 38, 12, 0], [0, 13, 23, 334, 385, 2178, 1254, 5049, 1122, 4345, 275, 1288, 13, 104, 0, 1], [0, 13, 23, 334, 386, 2167, 1309, 4884, 1452, 3883, 737, 958, 178, 49, 11, 0], [0, 13, 23, 335, 375, 2222, 1144, 5214, 990, 4345, 407, 1123, 123, 60, 10, 0], [0, 13, 23, 336, 364, 2277, 979, 5544, 528, 4807, 77, 1288, 68, 71, 9, 0], [0, 13, 24, 316, 517, 1628, 2739, 2277, 4818, 781, 2750, 78, 409, 26, 7, 1], [0, 13, 24, 317, 506, 1683, 2574, 2607, 4356, 1243, 2420, 243, 354, 37, 6, 1], [0, 13, 24, 318, 495, 1738, 2409, 2937, 3894, 1705, 2090, 408, 299, 48, 5, 1], [0, 13, 24, 319, 484, 1793, 2244, 3267, 3432, 2167, 1760, 573, 244, 59, 4, 1], [0, 13, 24, 319, 485, 1782, 2299, 3102, 3762, 1705, 2222, 243, 409, 4, 15, 0], [0, 13, 24, 320, 473, 1848, 2079, 3597, 2970, 2629, 1430, 738, 189, 70, 3, 1], [0, 13, 24, 320, 474, 1837, 2134, 3432, 3300, 2167, 1892, 408, 354, 15, 14, 0], [0, 13, 24, 321, 462, 1903, 1914, 3927, 2508, 3091, 1100, 903, 134, 81, 2, 1], [0, 13, 24, 321, 463, 1892, 1969, 3762, 2838, 2629, 1562, 573, 299, 26, 13, 0], [0, 13, 24, 322, 451, 1958, 1749, 4257, 2046, 3553, 770, 1068, 79, 92, 1, 1], [0, 13, 24, 322, 452, 1947, 1804, 4092, 2376, 3091, 1232, 738, 244, 37, 12, 0], [0, 13, 24, 323, 440, 2013, 1584, 4587, 1584, 4015, 440, 1233, 24, 103, 0, 1], [0, 13, 24, 323, 441, 2002, 1639, 4422, 1914, 3553, 902, 903, 189, 48, 11, 0], [0, 13, 24, 324, 430, 2057, 1474, 4752, 1452, 4015, 572, 1068, 134, 59, 10, 0], [0, 13, 24, 325, 419, 2112, 1309, 5082, 990, 4477, 242, 1233, 79, 70, 9, 0], [0, 13, 25, 305, 572, 1463, 3069, 1815, 5280, 451, 2915, 23, 420, 25, 7, 1], [0, 13, 25, 306, 561, 1518, 2904, 2145, 4818, 913, 2585, 188, 365, 36, 6, 1], [0, 13, 25, 307, 550, 1573, 2739, 2475, 4356, 1375, 2255, 353, 310, 47, 5, 1], [0, 13, 25, 308, 539, 1628, 2574, 2805, 3894, 1837, 1925, 518, 255, 58, 4, 1], [0, 13, 25, 308, 540, 1617, 2629, 2640, 4224, 1375, 2387, 188, 420, 3, 15, 0], [0, 13, 25, 309, 528, 1683, 2409, 3135, 3432, 2299, 1595, 683, 200, 69, 3, 1], [0, 13, 25, 309, 529, 1672, 2464, 2970, 3762, 1837, 2057, 353, 365, 14, 14, 0], [0, 13, 25, 310, 517, 1738, 2244, 3465, 2970, 2761, 1265, 848, 145, 80, 2, 1], [0, 13, 25, 310, 518, 1727, 2299, 3300, 3300, 2299, 1727, 518, 310, 25, 13, 0], [0, 13, 25, 311, 506, 1793, 2079, 3795, 2508, 3223, 935, 1013, 90, 91, 1, 1], [0, 13, 25, 311, 507, 1782, 2134, 3630, 2838, 2761, 1397, 683, 255, 36, 12, 0], [0, 13, 25, 312, 495, 1848, 1914, 4125, 2046, 3685, 605, 1178, 35, 102, 0, 1], [0, 13, 25, 312, 496, 1837, 1969, 3960, 2376, 3223, 1067, 848, 200, 47, 11, 0], [0, 13, 25, 313, 485, 1892, 1804, 4290, 1914, 3685, 737, 1013, 145, 58, 10, 0], [0, 13, 25, 314, 474, 1947, 1639, 4620, 1452, 4147, 407, 1178, 90, 69, 9, 0], [0, 13, 25, 315, 463, 2002, 1474, 4950, 990, 4609, 77, 1343, 35, 80, 8, 0], [0, 13, 26, 295, 616, 1353, 3234, 1683, 5280, 583, 2750, 133, 376, 35, 6, 1], [0, 13, 26, 296, 605, 1408, 3069, 2013, 4818, 1045, 2420, 298, 321, 46, 5, 1], [0, 13, 26, 297, 594, 1463, 2904, 2343, 4356, 1507, 2090, 463, 266, 57, 4, 1], [0, 13, 26, 297, 595, 1452, 2959, 2178, 4686, 1045, 2552, 133, 431, 2, 15, 0], [0, 13, 26, 298, 583, 1518, 2739, 2673, 3894, 1969, 1760, 628, 211, 68, 3, 1], [0, 13, 26, 298, 584, 1507, 2794, 2508, 4224, 1507, 2222, 298, 376, 13, 14, 0], [0, 13, 26, 299, 572, 1573, 2574, 3003, 3432, 2431, 1430, 793, 156, 79, 2, 1], [0, 13, 26, 299, 573, 1562, 2629, 2838, 3762, 1969, 1892, 463, 321, 24, 13, 0], [0, 13, 26, 300, 561, 1628, 2409, 3333, 2970, 2893, 1100, 958, 101, 90, 1, 1], [0, 13, 26, 300, 562, 1617, 2464, 3168, 3300, 2431, 1562, 628, 266, 35, 12, 0], [0, 13, 26, 301, 550, 1683, 2244, 3663, 2508, 3355, 770, 1123, 46, 101, 0, 1], [0, 13, 26, 301, 551, 1672, 2299, 3498, 2838, 2893, 1232, 793, 211, 46, 11, 0], [0, 13, 26, 302, 540, 1727, 2134, 3828, 2376, 3355, 902, 958, 156, 57, 10, 0], [0, 13, 26, 303, 529, 1782, 1969, 4158, 1914, 3817, 572, 1123, 101, 68, 9, 0], [0, 13, 26, 304, 518, 1837, 1804, 4488, 1452, 4279, 242, 1288, 46, 79, 8, 0], [0, 13, 27, 284, 671, 1188, 3564, 1221, 5742, 253, 2915, 78, 387, 34, 6, 1], [0, 13, 27, 285, 660, 1243, 3399, 1551, 5280, 715, 2585, 243, 332, 45, 5, 1], [0, 13, 27, 286, 649, 1298, 3234, 1881, 4818, 1177, 2255, 408, 277, 56, 4, 1], [0, 13, 27, 286, 650, 1287, 3289, 1716, 5148, 715, 2717, 78, 442, 1, 15, 0], [0, 13, 27, 287, 638, 1353, 3069, 2211, 4356, 1639, 1925, 573, 222, 67, 3, 1], [0, 13, 27, 287, 639, 1342, 3124, 2046, 4686, 1177, 2387, 243, 387, 12, 14, 0], [0, 13, 27, 288, 627, 1408, 2904, 2541, 3894, 2101, 1595, 738, 167, 78, 2, 1], [0, 13, 27, 288, 628, 1397, 2959, 2376, 4224, 1639, 2057, 408, 332, 23, 13, 0], [0, 13, 27, 289, 616, 1463, 2739, 2871, 3432, 2563, 1265, 903, 112, 89, 1, 1], [0, 13, 27, 289, 617, 1452, 2794, 2706, 3762, 2101, 1727, 573, 277, 34, 12, 0], [0, 13, 27, 290, 605, 1518, 2574, 3201, 2970, 3025, 935, 1068, 57, 100, 0, 1], [0, 13, 27, 290, 606, 1507, 2629, 3036, 3300, 2563, 1397, 738, 222, 45, 11, 0], [0, 13, 27, 291, 595, 1562, 2464, 3366, 2838, 3025, 1067, 903, 167, 56, 10, 0], [0, 13, 27, 292, 584, 1617, 2299, 3696, 2376, 3487, 737, 1068, 112, 67, 9, 0], [0, 13, 27, 293, 573, 1672, 2134, 4026, 1914, 3949, 407, 1233, 57, 78, 8, 0], [0, 13, 27, 294, 562, 1727, 1969, 4356, 1452, 4411, 77, 1398, 2, 89, 7, 0], [0, 13, 28, 274, 715, 1078, 3729, 1089, 5742, 385, 2750, 188, 343, 44, 5, 1], [0, 13, 28, 275, 704, 1133, 3564, 1419, 5280, 847, 2420, 353, 288, 55, 4, 1], [0, 13, 28, 275, 705, 1122, 3619, 1254, 5610, 385, 2882, 23, 453, 0, 15, 0], [0, 13, 28, 276, 693, 1188, 3399, 1749, 4818, 1309, 2090, 518, 233, 66, 3, 1], [0, 13, 28, 276, 694, 1177, 3454, 1584, 5148, 847, 2552, 188, 398, 11, 14, 0], [0, 13, 28, 277, 682, 1243, 3234, 2079, 4356, 1771, 1760, 683, 178, 77, 2, 1], [0, 13, 28, 277, 683, 1232, 3289, 1914, 4686, 1309, 2222, 353, 343, 22, 13, 0], [0, 13, 28, 278, 671, 1298, 3069, 2409, 3894, 2233, 1430, 848, 123, 88, 1, 1], [0, 13, 28, 278, 672, 1287, 3124, 2244, 4224, 1771, 1892, 518, 288, 33, 12, 0], [0, 13, 28, 279, 660, 1353, 2904, 2739, 3432, 2695, 1100, 1013, 68, 99, 0, 1], [0, 13, 28, 279, 661, 1342, 2959, 2574, 3762, 2233, 1562, 683, 233, 44, 11, 0], [0, 13, 28, 280, 650, 1397, 2794, 2904, 3300, 2695, 1232, 848, 178, 55, 10, 0], [0, 13, 28, 281, 639, 1452, 2629, 3234, 2838, 3157, 902, 1013, 123, 66, 9, 0], [0, 13, 28, 282, 628, 1507, 2464, 3564, 2376, 3619, 572, 1178, 68, 77, 8, 0], [0, 13, 28, 283, 617, 1562, 2299, 3894, 1914, 4081, 242, 1343, 13, 88, 7, 0], [0, 13, 29, 263, 770, 913, 4059, 627, 6204, 55, 2915, 133, 354, 43, 5, 1], [0, 13, 29, 264, 759, 968, 3894, 957, 5742, 517, 2585, 298, 299, 54, 4, 1], [0, 13, 29, 265, 748, 1023, 3729, 1287, 5280, 979, 2255, 463, 244, 65, 3, 1], [0, 13, 29, 265, 749, 1012, 3784, 1122, 5610, 517, 2717, 133, 409, 10, 14, 0], [0, 13, 29, 266, 737, 1078, 3564, 1617, 4818, 1441, 1925, 628, 189, 76, 2, 1], [0, 13, 29, 266, 738, 1067, 3619, 1452, 5148, 979, 2387, 298, 354, 21, 13, 0], [0, 13, 29, 267, 726, 1133, 3399, 1947, 4356, 1903, 1595, 793, 134, 87, 1, 1], [0, 13, 29, 267, 727, 1122, 3454, 1782, 4686, 1441, 2057, 463, 299, 32, 12, 0], [0, 13, 29, 268, 715, 1188, 3234, 2277, 3894, 2365, 1265, 958, 79, 98, 0, 1], [0, 13, 29, 268, 716, 1177, 3289, 2112, 4224, 1903, 1727, 628, 244, 43, 11, 0], [0, 13, 29, 269, 705, 1232, 3124, 2442, 3762, 2365, 1397, 793, 189, 54, 10, 0], [0, 13, 29, 270, 694, 1287, 2959, 2772, 3300, 2827, 1067, 958, 134, 65, 9, 0], [0, 13, 29, 271, 683, 1342, 2794, 3102, 2838, 3289, 737, 1123, 79, 76, 8, 0], [0, 13, 29, 272, 672, 1397, 2629, 3432, 2376, 3751, 407, 1288, 24, 87, 7, 0], [0, 13, 30, 253, 814, 803, 4224, 495, 6204, 187, 2750, 243, 310, 53, 4, 1], [0, 13, 30, 254, 803, 858, 4059, 825, 5742, 649, 2420, 408, 255, 64, 3, 1], [0, 13, 30, 254, 804, 847, 4114, 660, 6072, 187, 2882, 78, 420, 9, 14, 0], [0, 13, 30, 255, 792, 913, 3894, 1155, 5280, 1111, 2090, 573, 200, 75, 2, 1], [0, 13, 30, 255, 793, 902, 3949, 990, 5610, 649, 2552, 243, 365, 20, 13, 0], [0, 13, 30, 256, 781, 968, 3729, 1485, 4818, 1573, 1760, 738, 145, 86, 1, 1], [0, 13, 30, 256, 782, 957, 3784, 1320, 5148, 1111, 2222, 408, 310, 31, 12, 0], [0, 13, 30, 257, 770, 1023, 3564, 1815, 4356, 2035, 1430, 903, 90, 97, 0, 1], [0, 13, 30, 257, 771, 1012, 3619, 1650, 4686, 1573, 1892, 573, 255, 42, 11, 0], [0, 13, 30, 258, 760, 1067, 3454, 1980, 4224, 2035, 1562, 738, 200, 53, 10, 0], [0, 13, 30, 259, 749, 1122, 3289, 2310, 3762, 2497, 1232, 903, 145, 64, 9, 0], [0, 13, 30, 260, 738, 1177, 3124, 2640, 3300, 2959, 902, 1068, 90, 75, 8, 0], [0, 13, 30, 261, 727, 1232, 2959, 2970, 2838, 3421, 572, 1233, 35, 86, 7, 0], [0, 13, 31, 243, 858, 693, 4389, 363, 6204, 319, 2585, 353, 266, 63, 3, 1], [0, 13, 31, 244, 847, 748, 4224, 693, 5742, 781, 2255, 518, 211, 74, 2, 1], [0, 13, 31, 244, 848, 737, 4279, 528, 6072, 319, 2717, 188, 376, 19, 13, 0], [0, 13, 31, 245, 836, 803, 4059, 1023, 5280, 1243, 1925, 683, 156, 85, 1, 1], [0, 13, 31, 245, 837, 792, 4114, 858, 5610, 781, 2387, 353, 321, 30, 12, 0], [0, 13, 31, 246, 825, 858, 3894, 1353, 4818, 1705, 1595, 848, 101, 96, 0, 1], [0, 13, 31, 246, 826, 847, 3949, 1188, 5148, 1243, 2057, 518, 266, 41, 11, 0], [0, 13, 31, 247, 815, 902, 3784, 1518, 4686, 1705, 1727, 683, 211, 52, 10, 0], [0, 13, 31, 248, 804, 957, 3619, 1848, 4224, 2167, 1397, 848, 156, 63, 9, 0], [0, 13, 31, 249, 793, 1012, 3454, 2178, 3762, 2629, 1067, 1013, 101, 74, 8, 0], [0, 13, 31, 250, 782, 1067, 3289, 2508, 3300, 3091, 737, 1178, 46, 85, 7, 0], [0, 13, 32, 233, 902, 583, 4554, 231, 6204, 451, 2420, 463, 222, 73, 2, 1], [0, 13, 32, 234, 891, 638, 4389, 561, 5742, 913, 2090, 628, 167, 84, 1, 1], [0, 13, 32, 234, 892, 627, 4444, 396, 6072, 451, 2552, 298, 332, 29, 12, 0], [0, 13, 32, 235, 880, 693, 4224, 891, 5280, 1375, 1760, 793, 112, 95, 0, 1], [0, 13, 32, 235, 881, 682, 4279, 726, 5610, 913, 2222, 463, 277, 40, 11, 0], [0, 13, 32, 236, 870, 737, 4114, 1056, 5148, 1375, 1892, 628, 222, 51, 10, 0], [0, 13, 32, 237, 859, 792, 3949, 1386, 4686, 1837, 1562, 793, 167, 62, 9, 0], [0, 13, 32, 238, 848, 847, 3784, 1716, 4224, 2299, 1232, 958, 112, 73, 8, 0], [0, 13, 32, 239, 837, 902, 3619, 2046, 3762, 2761, 902, 1123, 57, 84, 7, 0], [0, 13, 32, 240, 826, 957, 3454, 2376, 3300, 3223, 572, 1288, 2, 95, 6, 0], [0, 13, 33, 223, 946, 473, 4719, 99, 6204, 583, 2255, 573, 178, 83, 1, 1], [0, 13, 33, 224, 935, 528, 4554, 429, 5742, 1045, 1925, 738, 123, 94, 0, 1], [0, 13, 33, 224, 936, 517, 4609, 264, 6072, 583, 2387, 408, 288, 39, 11, 0], [0, 13, 33, 225, 925, 572, 4444, 594, 5610, 1045, 2057, 573, 233, 50, 10, 0], [0, 13, 33, 226, 914, 627, 4279, 924, 5148, 1507, 1727, 738, 178, 61, 9, 0], [0, 13, 33, 227, 903, 682, 4114, 1254, 4686, 1969, 1397, 903, 123, 72, 8, 0], [0, 13, 33, 228, 892, 737, 3949, 1584, 4224, 2431, 1067, 1068, 68, 83, 7, 0], [0, 13, 33, 229, 881, 792, 3784, 1914, 3762, 2893, 737, 1233, 13, 94, 6, 0], [0, 13, 34, 214, 980, 407, 4774, 132, 6072, 715, 2222, 518, 244, 49, 10, 0], [0, 13, 34, 215, 969, 462, 4609, 462, 5610, 1177, 1892, 683, 189, 60, 9, 0], [0, 13, 34, 216, 958, 517, 4444, 792, 5148, 1639, 1562, 848, 134, 71, 8, 0], [0, 13, 34, 217, 947, 572, 4279, 1122, 4686, 2101, 1232, 1013, 79, 82, 7, 0], [0, 13, 34, 218, 936, 627, 4114, 1452, 4224, 2563, 902, 1178, 24, 93, 6, 0], [0, 13, 35, 204, 1024, 297, 4939, 0, 6072, 847, 2057, 628, 200, 59, 9, 0], [0, 13, 35, 205, 1013, 352, 4774, 330, 5610, 1309, 1727, 793, 145, 70, 8, 0], [0, 13, 35, 206, 1002, 407, 4609, 660, 5148, 1771, 1397, 958, 90, 81, 7, 0], [0, 13, 35, 207, 991, 462, 4444, 990, 4686, 2233, 1067, 1123, 35, 92, 6, 0], [0, 13, 36, 195, 1057, 242, 4939, 198, 5610, 1441, 1562, 903, 101, 80, 7, 0], [0, 13, 36, 196, 1046, 297, 4774, 528, 5148, 1903, 1232, 1068, 46, 91, 6, 0], [0, 13, 37, 185, 1101, 132, 5104, 66, 5610, 1573, 1397, 1013, 57, 90, 6, 0], [0, 13, 37, 186, 1090, 187, 4939, 396, 5148, 2035, 1067, 1178, 2, 101, 5, 0], [0, 14, 6, 444, 10, 2904, 572, 4818, 2772, 1870, 2398, 144, 386, 44, 0, 2], [0, 14, 7, 433, 65, 2739, 902, 4356, 3234, 1540, 2563, 89, 397, 43, 0, 2], [0, 14, 7, 435, 44, 2838, 627, 4851, 2640, 2002, 2365, 89, 452, 10, 9, 1], [0, 14, 7, 436, 33, 2893, 462, 5181, 2178, 2464, 2035, 254, 397, 21, 8, 1], [0, 14, 7, 437, 22, 2948, 297, 5511, 1716, 2926, 1705, 419, 342, 32, 7, 1], [0, 14, 7, 438, 11, 3003, 132, 5841, 1254, 3388, 1375, 584, 287, 43, 6, 1], [0, 14, 8, 422, 120, 2574, 1232, 3894, 3696, 1210, 2728, 34, 408, 42, 0, 2], [0, 14, 8, 424, 99, 2673, 957, 4389, 3102, 1672, 2530, 34, 463, 9, 9, 1], [0, 14, 8, 425, 88, 2728, 792, 4719, 2640, 2134, 2200, 199, 408, 20, 8, 1], [0, 14, 8, 426, 77, 2783, 627, 5049, 2178, 2596, 1870, 364, 353, 31, 7, 1], [0, 14, 8, 427, 66, 2838, 462, 5379, 1716, 3058, 1540, 529, 298, 42, 6, 1], [0, 14, 8, 428, 55, 2893, 297, 5709, 1254, 3520, 1210, 694, 243, 53, 5, 1], [0, 14, 8, 429, 44, 2948, 132, 6039, 792, 3982, 880, 859, 188, 64, 4, 1], [0, 14, 8, 429, 45, 2937, 187, 5874, 1122, 3520, 1342, 529, 353, 9, 15, 0], [0, 14, 8, 430, 34, 2992, 22, 6204, 660, 3982, 1012, 694, 298, 20, 14, 0], [0, 14, 9, 414, 143, 2563, 1122, 4257, 3102, 1804, 2365, 144, 419, 19, 8, 1], [0, 14, 9, 415, 132, 2618, 957, 4587, 2640, 2266, 2035, 309, 364, 30, 7, 1], [0, 14, 9, 416, 121, 2673, 792, 4917, 2178, 2728, 1705, 474, 309, 41, 6, 1], [0, 14, 9, 417, 110, 2728, 627, 5247, 1716, 3190, 1375, 639, 254, 52, 5, 1], [0, 14, 9, 418, 99, 2783, 462, 5577, 1254, 3652, 1045, 804, 199, 63, 4, 1], [0, 14, 9, 418, 100, 2772, 517, 5412, 1584, 3190, 1507, 474, 364, 8, 15, 0], [0, 14, 9, 419, 88, 2838, 297, 5907, 792, 4114, 715, 969, 144, 74, 3, 1], [0, 14, 9, 419, 89, 2827, 352, 5742, 1122, 3652, 1177, 639, 309, 19, 14, 0], [0, 14, 9, 420, 77, 2893, 132, 6237, 330, 4576, 385, 1134, 89, 85, 2, 1], [0, 14, 9, 420, 78, 2882, 187, 6072, 660, 4114, 847, 804, 254, 30, 13, 0], [0, 14, 9, 421, 67, 2937, 22, 6402, 198, 4576, 517, 969, 199, 41, 12, 0], [0, 14, 10, 403, 198, 2398, 1452, 3795, 3564, 1474, 2530, 89, 430, 18, 8, 1], [0, 14, 10, 404, 187, 2453, 1287, 4125, 3102, 1936, 2200, 254, 375, 29, 7, 1], [0, 14, 10, 405, 176, 2508, 1122, 4455, 2640, 2398, 1870, 419, 320, 40, 6, 1], [0, 14, 10, 406, 165, 2563, 957, 4785, 2178, 2860, 1540, 584, 265, 51, 5, 1], [0, 14, 10, 407, 154, 2618, 792, 5115, 1716, 3322, 1210, 749, 210, 62, 4, 1], [0, 14, 10, 407, 155, 2607, 847, 4950, 2046, 2860, 1672, 419, 375, 7, 15, 0], [0, 14, 10, 408, 143, 2673, 627, 5445, 1254, 3784, 880, 914, 155, 73, 3, 1], [0, 14, 10, 408, 144, 2662, 682, 5280, 1584, 3322, 1342, 584, 320, 18, 14, 0], [0, 14, 10, 409, 132, 2728, 462, 5775, 792, 4246, 550, 1079, 100, 84, 2, 1], [0, 14, 10, 409, 133, 2717, 517, 5610, 1122, 3784, 1012, 749, 265, 29, 13, 0], [0, 14, 10, 410, 121, 2783, 297, 6105, 330, 4708, 220, 1244, 45, 95, 1, 1], [0, 14, 10, 410, 122, 2772, 352, 5940, 660, 4246, 682, 914, 210, 40, 12, 0], [0, 14, 10, 411, 111, 2827, 187, 6270, 198, 4708, 352, 1079, 155, 51, 11, 0], [0, 14, 11, 392, 253, 2233, 1782, 3333, 4026, 1144, 2695, 34, 441, 17, 8, 1], [0, 14, 11, 393, 242, 2288, 1617, 3663, 3564, 1606, 2365, 199, 386, 28, 7, 1], [0, 14, 11, 394, 231, 2343, 1452, 3993, 3102, 2068, 2035, 364, 331, 39, 6, 1], [0, 14, 11, 395, 220, 2398, 1287, 4323, 2640, 2530, 1705, 529, 276, 50, 5, 1], [0, 14, 11, 396, 209, 2453, 1122, 4653, 2178, 2992, 1375, 694, 221, 61, 4, 1], [0, 14, 11, 396, 210, 2442, 1177, 4488, 2508, 2530, 1837, 364, 386, 6, 15, 0], [0, 14, 11, 397, 198, 2508, 957, 4983, 1716, 3454, 1045, 859, 166, 72, 3, 1], [0, 14, 11, 397, 199, 2497, 1012, 4818, 2046, 2992, 1507, 529, 331, 17, 14, 0], [0, 14, 11, 398, 187, 2563, 792, 5313, 1254, 3916, 715, 1024, 111, 83, 2, 1], [0, 14, 11, 398, 188, 2552, 847, 5148, 1584, 3454, 1177, 694, 276, 28, 13, 0], [0, 14, 11, 399, 176, 2618, 627, 5643, 792, 4378, 385, 1189, 56, 94, 1, 1], [0, 14, 11, 399, 177, 2607, 682, 5478, 1122, 3916, 847, 859, 221, 39, 12, 0], [0, 14, 11, 400, 165, 2673, 462, 5973, 330, 4840, 55, 1354, 1, 105, 0, 1], [0, 14, 11, 400, 166, 2662, 517, 5808, 660, 4378, 517, 1024, 166, 50, 11, 0], [0, 14, 11, 401, 155, 2717, 352, 6138, 198, 4840, 187, 1189, 111, 61, 10, 0], [0, 14, 12, 382, 297, 2123, 1947, 3201, 4026, 1276, 2530, 144, 397, 27, 7, 1], [0, 14, 12, 383, 286, 2178, 1782, 3531, 3564, 1738, 2200, 309, 342, 38, 6, 1], [0, 14, 12, 384, 275, 2233, 1617, 3861, 3102, 2200, 1870, 474, 287, 49, 5, 1], [0, 14, 12, 385, 264, 2288, 1452, 4191, 2640, 2662, 1540, 639, 232, 60, 4, 1], [0, 14, 12, 385, 265, 2277, 1507, 4026, 2970, 2200, 2002, 309, 397, 5, 15, 0], [0, 14, 12, 386, 253, 2343, 1287, 4521, 2178, 3124, 1210, 804, 177, 71, 3, 1], [0, 14, 12, 386, 254, 2332, 1342, 4356, 2508, 2662, 1672, 474, 342, 16, 14, 0], [0, 14, 12, 387, 242, 2398, 1122, 4851, 1716, 3586, 880, 969, 122, 82, 2, 1], [0, 14, 12, 387, 243, 2387, 1177, 4686, 2046, 3124, 1342, 639, 287, 27, 13, 0], [0, 14, 12, 388, 231, 2453, 957, 5181, 1254, 4048, 550, 1134, 67, 93, 1, 1], [0, 14, 12, 388, 232, 2442, 1012, 5016, 1584, 3586, 1012, 804, 232, 38, 12, 0], [0, 14, 12, 389, 220, 2508, 792, 5511, 792, 4510, 220, 1299, 12, 104, 0, 1], [0, 14, 12, 389, 221, 2497, 847, 5346, 1122, 4048, 682, 969, 177, 49, 11, 0], [0, 14, 12, 390, 210, 2552, 682, 5676, 660, 4510, 352, 1134, 122, 60, 10, 0], [0, 14, 12, 391, 199, 2607, 517, 6006, 198, 4972, 22, 1299, 67, 71, 9, 0], [0, 14, 13, 371, 352, 1958, 2277, 2739, 4488, 946, 2695, 89, 408, 26, 7, 1], [0, 14, 13, 372, 341, 2013, 2112, 3069, 4026, 1408, 2365, 254, 353, 37, 6, 1], [0, 14, 13, 373, 330, 2068, 1947, 3399, 3564, 1870, 2035, 419, 298, 48, 5, 1], [0, 14, 13, 374, 319, 2123, 1782, 3729, 3102, 2332, 1705, 584, 243, 59, 4, 1], [0, 14, 13, 374, 320, 2112, 1837, 3564, 3432, 1870, 2167, 254, 408, 4, 15, 0], [0, 14, 13, 375, 308, 2178, 1617, 4059, 2640, 2794, 1375, 749, 188, 70, 3, 1], [0, 14, 13, 375, 309, 2167, 1672, 3894, 2970, 2332, 1837, 419, 353, 15, 14, 0], [0, 14, 13, 376, 297, 2233, 1452, 4389, 2178, 3256, 1045, 914, 133, 81, 2, 1], [0, 14, 13, 376, 298, 2222, 1507, 4224, 2508, 2794, 1507, 584, 298, 26, 13, 0], [0, 14, 13, 377, 286, 2288, 1287, 4719, 1716, 3718, 715, 1079, 78, 92, 1, 1], [0, 14, 13, 377, 287, 2277, 1342, 4554, 2046, 3256, 1177, 749, 243, 37, 12, 0], [0, 14, 13, 378, 275, 2343, 1122, 5049, 1254, 4180, 385, 1244, 23, 103, 0, 1], [0, 14, 13, 378, 276, 2332, 1177, 4884, 1584, 3718, 847, 914, 188, 48, 11, 0], [0, 14, 13, 379, 265, 2387, 1012, 5214, 1122, 4180, 517, 1079, 133, 59, 10, 0], [0, 14, 13, 380, 254, 2442, 847, 5544, 660, 4642, 187, 1244, 78, 70, 9, 0], [0, 14, 14, 360, 407, 1793, 2607, 2277, 4950, 616, 2860, 34, 419, 25, 7, 1], [0, 14, 14, 361, 396, 1848, 2442, 2607, 4488, 1078, 2530, 199, 364, 36, 6, 1], [0, 14, 14, 362, 385, 1903, 2277, 2937, 4026, 1540, 2200, 364, 309, 47, 5, 1], [0, 14, 14, 363, 374, 1958, 2112, 3267, 3564, 2002, 1870, 529, 254, 58, 4, 1], [0, 14, 14, 363, 375, 1947, 2167, 3102, 3894, 1540, 2332, 199, 419, 3, 15, 0], [0, 14, 14, 364, 363, 2013, 1947, 3597, 3102, 2464, 1540, 694, 199, 69, 3, 1], [0, 14, 14, 364, 364, 2002, 2002, 3432, 3432, 2002, 2002, 364, 364, 14, 14, 0], [0, 14, 14, 365, 352, 2068, 1782, 3927, 2640, 2926, 1210, 859, 144, 80, 2, 1], [0, 14, 14, 365, 353, 2057, 1837, 3762, 2970, 2464, 1672, 529, 309, 25, 13, 0], [0, 14, 14, 366, 341, 2123, 1617, 4257, 2178, 3388, 880, 1024, 89, 91, 1, 1], [0, 14, 14, 366, 342, 2112, 1672, 4092, 2508, 2926, 1342, 694, 254, 36, 12, 0], [0, 14, 14, 367, 330, 2178, 1452, 4587, 1716, 3850, 550, 1189, 34, 102, 0, 1], [0, 14, 14, 367, 331, 2167, 1507, 4422, 2046, 3388, 1012, 859, 199, 47, 11, 0], [0, 14, 14, 368, 320, 2222, 1342, 4752, 1584, 3850, 682, 1024, 144, 58, 10, 0], [0, 14, 14, 369, 309, 2277, 1177, 5082, 1122, 4312, 352, 1189, 89, 69, 9, 0], [0, 14, 14, 370, 298, 2332, 1012, 5412, 660, 4774, 22, 1354, 34, 80, 8, 0], [0, 14, 15, 350, 451, 1683, 2772, 2145, 4950, 748, 2695, 144, 375, 35, 6, 1], [0, 14, 15, 351, 440, 1738, 2607, 2475, 4488, 1210, 2365, 309, 320, 46, 5, 1], [0, 14, 15, 352, 429, 1793, 2442, 2805, 4026, 1672, 2035, 474, 265, 57, 4, 1], [0, 14, 15, 352, 430, 1782, 2497, 2640, 4356, 1210, 2497, 144, 430, 2, 15, 0], [0, 14, 15, 353, 418, 1848, 2277, 3135, 3564, 2134, 1705, 639, 210, 68, 3, 1], [0, 14, 15, 353, 419, 1837, 2332, 2970, 3894, 1672, 2167, 309, 375, 13, 14, 0], [0, 14, 15, 354, 407, 1903, 2112, 3465, 3102, 2596, 1375, 804, 155, 79, 2, 1], [0, 14, 15, 354, 408, 1892, 2167, 3300, 3432, 2134, 1837, 474, 320, 24, 13, 0], [0, 14, 15, 355, 396, 1958, 1947, 3795, 2640, 3058, 1045, 969, 100, 90, 1, 1], [0, 14, 15, 355, 397, 1947, 2002, 3630, 2970, 2596, 1507, 639, 265, 35, 12, 0], [0, 14, 15, 356, 385, 2013, 1782, 4125, 2178, 3520, 715, 1134, 45, 101, 0, 1], [0, 14, 15, 356, 386, 2002, 1837, 3960, 2508, 3058, 1177, 804, 210, 46, 11, 0], [0, 14, 15, 357, 375, 2057, 1672, 4290, 2046, 3520, 847, 969, 155, 57, 10, 0], [0, 14, 15, 358, 364, 2112, 1507, 4620, 1584, 3982, 517, 1134, 100, 68, 9, 0], [0, 14, 15, 359, 353, 2167, 1342, 4950, 1122, 4444, 187, 1299, 45, 79, 8, 0], [0, 14, 16, 339, 506, 1518, 3102, 1683, 5412, 418, 2860, 89, 386, 34, 6, 1], [0, 14, 16, 340, 495, 1573, 2937, 2013, 4950, 880, 2530, 254, 331, 45, 5, 1], [0, 14, 16, 341, 484, 1628, 2772, 2343, 4488, 1342, 2200, 419, 276, 56, 4, 1], [0, 14, 16, 341, 485, 1617, 2827, 2178, 4818, 880, 2662, 89, 441, 1, 15, 0], [0, 14, 16, 342, 473, 1683, 2607, 2673, 4026, 1804, 1870, 584, 221, 67, 3, 1], [0, 14, 16, 342, 474, 1672, 2662, 2508, 4356, 1342, 2332, 254, 386, 12, 14, 0], [0, 14, 16, 343, 462, 1738, 2442, 3003, 3564, 2266, 1540, 749, 166, 78, 2, 1], [0, 14, 16, 343, 463, 1727, 2497, 2838, 3894, 1804, 2002, 419, 331, 23, 13, 0], [0, 14, 16, 344, 451, 1793, 2277, 3333, 3102, 2728, 1210, 914, 111, 89, 1, 1], [0, 14, 16, 344, 452, 1782, 2332, 3168, 3432, 2266, 1672, 584, 276, 34, 12, 0], [0, 14, 16, 345, 440, 1848, 2112, 3663, 2640, 3190, 880, 1079, 56, 100, 0, 1], [0, 14, 16, 345, 441, 1837, 2167, 3498, 2970, 2728, 1342, 749, 221, 45, 11, 0], [0, 14, 16, 346, 430, 1892, 2002, 3828, 2508, 3190, 1012, 914, 166, 56, 10, 0], [0, 14, 16, 347, 419, 1947, 1837, 4158, 2046, 3652, 682, 1079, 111, 67, 9, 0], [0, 14, 16, 348, 408, 2002, 1672, 4488, 1584, 4114, 352, 1244, 56, 78, 8, 0], [0, 14, 16, 349, 397, 2057, 1507, 4818, 1122, 4576, 22, 1409, 1, 89, 7, 0], [0, 14, 17, 328, 561, 1353, 3432, 1221, 5874, 88, 3025, 34, 397, 33, 6, 1], [0, 14, 17, 329, 550, 1408, 3267, 1551, 5412, 550, 2695, 199, 342, 44, 5, 1], [0, 14, 17, 330, 539, 1463, 3102, 1881, 4950, 1012, 2365, 364, 287, 55, 4, 1], [0, 14, 17, 330, 540, 1452, 3157, 1716, 5280, 550, 2827, 34, 452, 0, 15, 0], [0, 14, 17, 331, 528, 1518, 2937, 2211, 4488, 1474, 2035, 529, 232, 66, 3, 1], [0, 14, 17, 331, 529, 1507, 2992, 2046, 4818, 1012, 2497, 199, 397, 11, 14, 0], [0, 14, 17, 332, 517, 1573, 2772, 2541, 4026, 1936, 1705, 694, 177, 77, 2, 1], [0, 14, 17, 332, 518, 1562, 2827, 2376, 4356, 1474, 2167, 364, 342, 22, 13, 0], [0, 14, 17, 333, 506, 1628, 2607, 2871, 3564, 2398, 1375, 859, 122, 88, 1, 1], [0, 14, 17, 333, 507, 1617, 2662, 2706, 3894, 1936, 1837, 529, 287, 33, 12, 0], [0, 14, 17, 334, 495, 1683, 2442, 3201, 3102, 2860, 1045, 1024, 67, 99, 0, 1], [0, 14, 17, 334, 496, 1672, 2497, 3036, 3432, 2398, 1507, 694, 232, 44, 11, 0], [0, 14, 17, 335, 485, 1727, 2332, 3366, 2970, 2860, 1177, 859, 177, 55, 10, 0], [0, 14, 17, 336, 474, 1782, 2167, 3696, 2508, 3322, 847, 1024, 122, 66, 9, 0], [0, 14, 17, 337, 463, 1837, 2002, 4026, 2046, 3784, 517, 1189, 67, 77, 8, 0], [0, 14, 17, 338, 452, 1892, 1837, 4356, 1584, 4246, 187, 1354, 12, 88, 7, 0], [0, 14, 18, 318, 605, 1243, 3597, 1089, 5874, 220, 2860, 144, 353, 43, 5, 1], [0, 14, 18, 319, 594, 1298, 3432, 1419, 5412, 682, 2530, 309, 298, 54, 4, 1], [0, 14, 18, 320, 583, 1353, 3267, 1749, 4950, 1144, 2200, 474, 243, 65, 3, 1], [0, 14, 18, 320, 584, 1342, 3322, 1584, 5280, 682, 2662, 144, 408, 10, 14, 0], [0, 14, 18, 321, 572, 1408, 3102, 2079, 4488, 1606, 1870, 639, 188, 76, 2, 1], [0, 14, 18, 321, 573, 1397, 3157, 1914, 4818, 1144, 2332, 309, 353, 21, 13, 0], [0, 14, 18, 322, 561, 1463, 2937, 2409, 4026, 2068, 1540, 804, 133, 87, 1, 1], [0, 14, 18, 322, 562, 1452, 2992, 2244, 4356, 1606, 2002, 474, 298, 32, 12, 0], [0, 14, 18, 323, 550, 1518, 2772, 2739, 3564, 2530, 1210, 969, 78, 98, 0, 1], [0, 14, 18, 323, 551, 1507, 2827, 2574, 3894, 2068, 1672, 639, 243, 43, 11, 0], [0, 14, 18, 324, 540, 1562, 2662, 2904, 3432, 2530, 1342, 804, 188, 54, 10, 0], [0, 14, 18, 325, 529, 1617, 2497, 3234, 2970, 2992, 1012, 969, 133, 65, 9, 0], [0, 14, 18, 326, 518, 1672, 2332, 3564, 2508, 3454, 682, 1134, 78, 76, 8, 0], [0, 14, 18, 327, 507, 1727, 2167, 3894, 2046, 3916, 352, 1299, 23, 87, 7, 0], [0, 14, 19, 308, 649, 1133, 3762, 957, 5874, 352, 2695, 254, 309, 53, 4, 1], [0, 14, 19, 309, 638, 1188, 3597, 1287, 5412, 814, 2365, 419, 254, 64, 3, 1], [0, 14, 19, 309, 639, 1177, 3652, 1122, 5742, 352, 2827, 89, 419, 9, 14, 0], [0, 14, 19, 310, 627, 1243, 3432, 1617, 4950, 1276, 2035, 584, 199, 75, 2, 1], [0, 14, 19, 310, 628, 1232, 3487, 1452, 5280, 814, 2497, 254, 364, 20, 13, 0], [0, 14, 19, 311, 616, 1298, 3267, 1947, 4488, 1738, 1705, 749, 144, 86, 1, 1], [0, 14, 19, 311, 617, 1287, 3322, 1782, 4818, 1276, 2167, 419, 309, 31, 12, 0], [0, 14, 19, 312, 605, 1353, 3102, 2277, 4026, 2200, 1375, 914, 89, 97, 0, 1], [0, 14, 19, 312, 606, 1342, 3157, 2112, 4356, 1738, 1837, 584, 254, 42, 11, 0], [0, 14, 19, 313, 595, 1397, 2992, 2442, 3894, 2200, 1507, 749, 199, 53, 10, 0], [0, 14, 19, 314, 584, 1452, 2827, 2772, 3432, 2662, 1177, 914, 144, 64, 9, 0], [0, 14, 19, 315, 573, 1507, 2662, 3102, 2970, 3124, 847, 1079, 89, 75, 8, 0], [0, 14, 19, 316, 562, 1562, 2497, 3432, 2508, 3586, 517, 1244, 34, 86, 7, 0], [0, 14, 20, 297, 704, 968, 4092, 495, 6336, 22, 2860, 199, 320, 52, 4, 1], [0, 14, 20, 298, 693, 1023, 3927, 825, 5874, 484, 2530, 364, 265, 63, 3, 1], [0, 14, 20, 298, 694, 1012, 3982, 660, 6204, 22, 2992, 34, 430, 8, 14, 0], [0, 14, 20, 299, 682, 1078, 3762, 1155, 5412, 946, 2200, 529, 210, 74, 2, 1], [0, 14, 20, 299, 683, 1067, 3817, 990, 5742, 484, 2662, 199, 375, 19, 13, 0], [0, 14, 20, 300, 671, 1133, 3597, 1485, 4950, 1408, 1870, 694, 155, 85, 1, 1], [0, 14, 20, 300, 672, 1122, 3652, 1320, 5280, 946, 2332, 364, 320, 30, 12, 0], [0, 14, 20, 301, 660, 1188, 3432, 1815, 4488, 1870, 1540, 859, 100, 96, 0, 1], [0, 14, 20, 301, 661, 1177, 3487, 1650, 4818, 1408, 2002, 529, 265, 41, 11, 0], [0, 14, 20, 302, 650, 1232, 3322, 1980, 4356, 1870, 1672, 694, 210, 52, 10, 0], [0, 14, 20, 303, 639, 1287, 3157, 2310, 3894, 2332, 1342, 859, 155, 63, 9, 0], [0, 14, 20, 304, 628, 1342, 2992, 2640, 3432, 2794, 1012, 1024, 100, 74, 8, 0], [0, 14, 20, 305, 617, 1397, 2827, 2970, 2970, 3256, 682, 1189, 45, 85, 7, 0], [0, 14, 21, 287, 748, 858, 4257, 363, 6336, 154, 2695, 309, 276, 62, 3, 1], [0, 14, 21, 288, 737, 913, 4092, 693, 5874, 616, 2365, 474, 221, 73, 2, 1], [0, 14, 21, 288, 738, 902, 4147, 528, 6204, 154, 2827, 144, 386, 18, 13, 0], [0, 14, 21, 289, 726, 968, 3927, 1023, 5412, 1078, 2035, 639, 166, 84, 1, 1], [0, 14, 21, 289, 727, 957, 3982, 858, 5742, 616, 2497, 309, 331, 29, 12, 0], [0, 14, 21, 290, 715, 1023, 3762, 1353, 4950, 1540, 1705, 804, 111, 95, 0, 1], [0, 14, 21, 290, 716, 1012, 3817, 1188, 5280, 1078, 2167, 474, 276, 40, 11, 0], [0, 14, 21, 291, 705, 1067, 3652, 1518, 4818, 1540, 1837, 639, 221, 51, 10, 0], [0, 14, 21, 292, 694, 1122, 3487, 1848, 4356, 2002, 1507, 804, 166, 62, 9, 0], [0, 14, 21, 293, 683, 1177, 3322, 2178, 3894, 2464, 1177, 969, 111, 73, 8, 0], [0, 14, 21, 294, 672, 1232, 3157, 2508, 3432, 2926, 847, 1134, 56, 84, 7, 0], [0, 14, 21, 295, 661, 1287, 2992, 2838, 2970, 3388, 517, 1299, 1, 95, 6, 0], [0, 14, 22, 277, 792, 748, 4422, 231, 6336, 286, 2530, 419, 232, 72, 2, 1], [0, 14, 22, 278, 781, 803, 4257, 561, 5874, 748, 2200, 584, 177, 83, 1, 1], [0, 14, 22, 278, 782, 792, 4312, 396, 6204, 286, 2662, 254, 342, 28, 12, 0], [0, 14, 22, 279, 770, 858, 4092, 891, 5412, 1210, 1870, 749, 122, 94, 0, 1], [0, 14, 22, 279, 771, 847, 4147, 726, 5742, 748, 2332, 419, 287, 39, 11, 0], [0, 14, 22, 280, 760, 902, 3982, 1056, 5280, 1210, 2002, 584, 232, 50, 10, 0], [0, 14, 22, 281, 749, 957, 3817, 1386, 4818, 1672, 1672, 749, 177, 61, 9, 0], [0, 14, 22, 282, 738, 1012, 3652, 1716, 4356, 2134, 1342, 914, 122, 72, 8, 0], [0, 14, 22, 283, 727, 1067, 3487, 2046, 3894, 2596, 1012, 1079, 67, 83, 7, 0], [0, 14, 22, 284, 716, 1122, 3322, 2376, 3432, 3058, 682, 1244, 12, 94, 6, 0], [0, 14, 23, 267, 836, 638, 4587, 99, 6336, 418, 2365, 529, 188, 82, 1, 1], [0, 14, 23, 268, 825, 693, 4422, 429, 5874, 880, 2035, 694, 133, 93, 0, 1], [0, 14, 23, 268, 826, 682, 4477, 264, 6204, 418, 2497, 364, 298, 38, 11, 0], [0, 14, 23, 269, 815, 737, 4312, 594, 5742, 880, 2167, 529, 243, 49, 10, 0], [0, 14, 23, 270, 804, 792, 4147, 924, 5280, 1342, 1837, 694, 188, 60, 9, 0], [0, 14, 23, 271, 793, 847, 3982, 1254, 4818, 1804, 1507, 859, 133, 71, 8, 0], [0, 14, 23, 272, 782, 902, 3817, 1584, 4356, 2266, 1177, 1024, 78, 82, 7, 0], [0, 14, 23, 273, 771, 957, 3652, 1914, 3894, 2728, 847, 1189, 23, 93, 6, 0], [0, 14, 24, 258, 870, 572, 4642, 132, 6204, 550, 2332, 474, 254, 48, 10, 0], [0, 14, 24, 259, 859, 627, 4477, 462, 5742, 1012, 2002, 639, 199, 59, 9, 0], [0, 14, 24, 260, 848, 682, 4312, 792, 5280, 1474, 1672, 804, 144, 70, 8, 0], [0, 14, 24, 261, 837, 737, 4147, 1122, 4818, 1936, 1342, 969, 89, 81, 7, 0], [0, 14, 24, 262, 826, 792, 3982, 1452, 4356, 2398, 1012, 1134, 34, 92, 6, 0], [0, 14, 25, 248, 914, 462, 4807, 0, 6204, 682, 2167, 584, 210, 58, 9, 0], [0, 14, 25, 249, 903, 517, 4642, 330, 5742, 1144, 1837, 749, 155, 69, 8, 0], [0, 14, 25, 250, 892, 572, 4477, 660, 5280, 1606, 1507, 914, 100, 80, 7, 0], [0, 14, 25, 251, 881, 627, 4312, 990, 4818, 2068, 1177, 1079, 45, 91, 6, 0], [0, 14, 26, 239, 947, 407, 4807, 198, 5742, 1276, 1672, 859, 111, 79, 7, 0], [0, 14, 26, 240, 936, 462, 4642, 528, 5280, 1738, 1342, 1024, 56, 90, 6, 0], [0, 14, 26, 241, 925, 517, 4477, 858, 4818, 2200, 1012, 1189, 1, 101, 5, 0], [0, 14, 27, 229, 991, 297, 4972, 66, 5742, 1408, 1507, 969, 67, 89, 6, 0], [0, 14, 27, 230, 980, 352, 4807, 396, 5280, 1870, 1177, 1134, 12, 100, 5, 0], [0, 15, 0, 447, 88, 2563, 1320, 3795, 3696, 1309, 2640, 45, 440, 17, 8, 1], [0, 15, 0, 448, 77, 2618, 1155, 4125, 3234, 1771, 2310, 210, 385, 28, 7, 1], [0, 15, 0, 449, 66, 2673, 990, 4455, 2772, 2233, 1980, 375, 330, 39, 6, 1], [0, 15, 0, 450, 55, 2728, 825, 4785, 2310, 2695, 1650, 540, 275, 50, 5, 1], [0, 15, 0, 451, 44, 2783, 660, 5115, 1848, 3157, 1320, 705, 220, 61, 4, 1], [0, 15, 0, 451, 45, 2772, 715, 4950, 2178, 2695, 1782, 375, 385, 6, 15, 0], [0, 15, 0, 452, 33, 2838, 495, 5445, 1386, 3619, 990, 870, 165, 72, 3, 1], [0, 15, 0, 452, 34, 2827, 550, 5280, 1716, 3157, 1452, 540, 330, 17, 14, 0], [0, 15, 0, 453, 22, 2893, 330, 5775, 924, 4081, 660, 1035, 110, 83, 2, 1], [0, 15, 0, 453, 23, 2882, 385, 5610, 1254, 3619, 1122, 705, 275, 28, 13, 0], [0, 15, 0, 454, 11, 2948, 165, 6105, 462, 4543, 330, 1200, 55, 94, 1, 1], [0, 15, 0, 454, 12, 2937, 220, 5940, 792, 4081, 792, 870, 220, 39, 12, 0], [0, 15, 0, 455, 0, 3003, 0, 6435, 0, 5005, 0, 1365, 0, 105, 0, 1], [0, 15, 0, 455, 1, 2992, 55, 6270, 330, 4543, 462, 1035, 165, 50, 11, 0], [0, 15, 1, 437, 132, 2453, 1485, 3663, 3696, 1441, 2475, 155, 396, 27, 7, 1], [0, 15, 1, 438, 121, 2508, 1320, 3993, 3234, 1903, 2145, 320, 341, 38, 6, 1], [0, 15, 1, 439, 110, 2563, 1155, 4323, 2772, 2365, 1815, 485, 286, 49, 5, 1], [0, 15, 1, 440, 99, 2618, 990, 4653, 2310, 2827, 1485, 650, 231, 60, 4, 1], [0, 15, 1, 440, 100, 2607, 1045, 4488, 2640, 2365, 1947, 320, 396, 5, 15, 0], [0, 15, 1, 441, 88, 2673, 825, 4983, 1848, 3289, 1155, 815, 176, 71, 3, 1], [0, 15, 1, 441, 89, 2662, 880, 4818, 2178, 2827, 1617, 485, 341, 16, 14, 0], [0, 15, 1, 442, 77, 2728, 660, 5313, 1386, 3751, 825, 980, 121, 82, 2, 1], [0, 15, 1, 442, 78, 2717, 715, 5148, 1716, 3289, 1287, 650, 286, 27, 13, 0], [0, 15, 1, 443, 66, 2783, 495, 5643, 924, 4213, 495, 1145, 66, 93, 1, 1], [0, 15, 1, 443, 67, 2772, 550, 5478, 1254, 3751, 957, 815, 231, 38, 12, 0], [0, 15, 1, 444, 55, 2838, 330, 5973, 462, 4675, 165, 1310, 11, 104, 0, 1], [0, 15, 1, 444, 56, 2827, 385, 5808, 792, 4213, 627, 980, 176, 49, 11, 0], [0, 15, 1, 445, 45, 2882, 220, 6138, 330, 4675, 297, 1145, 121, 60, 10, 0], [0, 15, 2, 426, 187, 2288, 1815, 3201, 4158, 1111, 2640, 100, 407, 26, 7, 1], [0, 15, 2, 427, 176, 2343, 1650, 3531, 3696, 1573, 2310, 265, 352, 37, 6, 1], [0, 15, 2, 428, 165, 2398, 1485, 3861, 3234, 2035, 1980, 430, 297, 48, 5, 1], [0, 15, 2, 429, 154, 2453, 1320, 4191, 2772, 2497, 1650, 595, 242, 59, 4, 1], [0, 15, 2, 429, 155, 2442, 1375, 4026, 3102, 2035, 2112, 265, 407, 4, 15, 0], [0, 15, 2, 430, 143, 2508, 1155, 4521, 2310, 2959, 1320, 760, 187, 70, 3, 1], [0, 15, 2, 430, 144, 2497, 1210, 4356, 2640, 2497, 1782, 430, 352, 15, 14, 0], [0, 15, 2, 431, 132, 2563, 990, 4851, 1848, 3421, 990, 925, 132, 81, 2, 1], [0, 15, 2, 431, 133, 2552, 1045, 4686, 2178, 2959, 1452, 595, 297, 26, 13, 0], [0, 15, 2, 432, 121, 2618, 825, 5181, 1386, 3883, 660, 1090, 77, 92, 1, 1], [0, 15, 2, 432, 122, 2607, 880, 5016, 1716, 3421, 1122, 760, 242, 37, 12, 0], [0, 15, 2, 433, 110, 2673, 660, 5511, 924, 4345, 330, 1255, 22, 103, 0, 1], [0, 15, 2, 433, 111, 2662, 715, 5346, 1254, 3883, 792, 925, 187, 48, 11, 0], [0, 15, 2, 434, 100, 2717, 550, 5676, 792, 4345, 462, 1090, 132, 59, 10, 0], [0, 15, 2, 435, 89, 2772, 385, 6006, 330, 4807, 132, 1255, 77, 70, 9, 0], [0, 15, 3, 415, 242, 2123, 2145, 2739, 4620, 781, 2805, 45, 418, 25, 7, 1], [0, 15, 3, 416, 231, 2178, 1980, 3069, 4158, 1243, 2475, 210, 363, 36, 6, 1], [0, 15, 3, 417, 220, 2233, 1815, 3399, 3696, 1705, 2145, 375, 308, 47, 5, 1], [0, 15, 3, 418, 209, 2288, 1650, 3729, 3234, 2167, 1815, 540, 253, 58, 4, 1], [0, 15, 3, 418, 210, 2277, 1705, 3564, 3564, 1705, 2277, 210, 418, 3, 15, 0], [0, 15, 3, 419, 198, 2343, 1485, 4059, 2772, 2629, 1485, 705, 198, 69, 3, 1], [0, 15, 3, 419, 199, 2332, 1540, 3894, 3102, 2167, 1947, 375, 363, 14, 14, 0], [0, 15, 3, 420, 187, 2398, 1320, 4389, 2310, 3091, 1155, 870, 143, 80, 2, 1], [0, 15, 3, 420, 188, 2387, 1375, 4224, 2640, 2629, 1617, 540, 308, 25, 13, 0], [0, 15, 3, 421, 176, 2453, 1155, 4719, 1848, 3553, 825, 1035, 88, 91, 1, 1], [0, 15, 3, 421, 177, 2442, 1210, 4554, 2178, 3091, 1287, 705, 253, 36, 12, 0], [0, 15, 3, 422, 165, 2508, 990, 5049, 1386, 4015, 495, 1200, 33, 102, 0, 1], [0, 15, 3, 422, 166, 2497, 1045, 4884, 1716, 3553, 957, 870, 198, 47, 11, 0], [0, 15, 3, 423, 155, 2552, 880, 5214, 1254, 4015, 627, 1035, 143, 58, 10, 0], [0, 15, 3, 424, 144, 2607, 715, 5544, 792, 4477, 297, 1200, 88, 69, 9, 0], [0, 15, 4, 405, 286, 2013, 2310, 2607, 4620, 913, 2640, 155, 374, 35, 6, 1], [0, 15, 4, 406, 275, 2068, 2145, 2937, 4158, 1375, 2310, 320, 319, 46, 5, 1], [0, 15, 4, 407, 264, 2123, 1980, 3267, 3696, 1837, 1980, 485, 264, 57, 4, 1], [0, 15, 4, 407, 265, 2112, 2035, 3102, 4026, 1375, 2442, 155, 429, 2, 15, 0], [0, 15, 4, 408, 253, 2178, 1815, 3597, 3234, 2299, 1650, 650, 209, 68, 3, 1], [0, 15, 4, 408, 254, 2167, 1870, 3432, 3564, 1837, 2112, 320, 374, 13, 14, 0], [0, 15, 4, 409, 242, 2233, 1650, 3927, 2772, 2761, 1320, 815, 154, 79, 2, 1], [0, 15, 4, 409, 243, 2222, 1705, 3762, 3102, 2299, 1782, 485, 319, 24, 13, 0], [0, 15, 4, 410, 231, 2288, 1485, 4257, 2310, 3223, 990, 980, 99, 90, 1, 1], [0, 15, 4, 410, 232, 2277, 1540, 4092, 2640, 2761, 1452, 650, 264, 35, 12, 0], [0, 15, 4, 411, 220, 2343, 1320, 4587, 1848, 3685, 660, 1145, 44, 101, 0, 1], [0, 15, 4, 411, 221, 2332, 1375, 4422, 2178, 3223, 1122, 815, 209, 46, 11, 0], [0, 15, 4, 412, 210, 2387, 1210, 4752, 1716, 3685, 792, 980, 154, 57, 10, 0], [0, 15, 4, 413, 199, 2442, 1045, 5082, 1254, 4147, 462, 1145, 99, 68, 9, 0], [0, 15, 4, 414, 188, 2497, 880, 5412, 792, 4609, 132, 1310, 44, 79, 8, 0], [0, 15, 5, 394, 341, 1848, 2640, 2145, 5082, 583, 2805, 100, 385, 34, 6, 1], [0, 15, 5, 395, 330, 1903, 2475, 2475, 4620, 1045, 2475, 265, 330, 45, 5, 1], [0, 15, 5, 396, 319, 1958, 2310, 2805, 4158, 1507, 2145, 430, 275, 56, 4, 1], [0, 15, 5, 396, 320, 1947, 2365, 2640, 4488, 1045, 2607, 100, 440, 1, 15, 0], [0, 15, 5, 397, 308, 2013, 2145, 3135, 3696, 1969, 1815, 595, 220, 67, 3, 1], [0, 15, 5, 397, 309, 2002, 2200, 2970, 4026, 1507, 2277, 265, 385, 12, 14, 0], [0, 15, 5, 398, 297, 2068, 1980, 3465, 3234, 2431, 1485, 760, 165, 78, 2, 1], [0, 15, 5, 398, 298, 2057, 2035, 3300, 3564, 1969, 1947, 430, 330, 23, 13, 0], [0, 15, 5, 399, 286, 2123, 1815, 3795, 2772, 2893, 1155, 925, 110, 89, 1, 1], [0, 15, 5, 399, 287, 2112, 1870, 3630, 3102, 2431, 1617, 595, 275, 34, 12, 0], [0, 15, 5, 400, 275, 2178, 1650, 4125, 2310, 3355, 825, 1090, 55, 100, 0, 1], [0, 15, 5, 400, 276, 2167, 1705, 3960, 2640, 2893, 1287, 760, 220, 45, 11, 0], [0, 15, 5, 401, 265, 2222, 1540, 4290, 2178, 3355, 957, 925, 165, 56, 10, 0], [0, 15, 5, 402, 254, 2277, 1375, 4620, 1716, 3817, 627, 1090, 110, 67, 9, 0], [0, 15, 5, 403, 243, 2332, 1210, 4950, 1254, 4279, 297, 1255, 55, 78, 8, 0], [0, 15, 6, 383, 396, 1683, 2970, 1683, 5544, 253, 2970, 45, 396, 33, 6, 1], [0, 15, 6, 384, 385, 1738, 2805, 2013, 5082, 715, 2640, 210, 341, 44, 5, 1], [0, 15, 6, 385, 374, 1793, 2640, 2343, 4620, 1177, 2310, 375, 286, 55, 4, 1], [0, 15, 6, 385, 375, 1782, 2695, 2178, 4950, 715, 2772, 45, 451, 0, 15, 0], [0, 15, 6, 386, 363, 1848, 2475, 2673, 4158, 1639, 1980, 540, 231, 66, 3, 1], [0, 15, 6, 386, 364, 1837, 2530, 2508, 4488, 1177, 2442, 210, 396, 11, 14, 0], [0, 15, 6, 387, 352, 1903, 2310, 3003, 3696, 2101, 1650, 705, 176, 77, 2, 1], [0, 15, 6, 387, 353, 1892, 2365, 2838, 4026, 1639, 2112, 375, 341, 22, 13, 0], [0, 15, 6, 388, 341, 1958, 2145, 3333, 3234, 2563, 1320, 870, 121, 88, 1, 1], [0, 15, 6, 388, 342, 1947, 2200, 3168, 3564, 2101, 1782, 540, 286, 33, 12, 0], [0, 15, 6, 389, 330, 2013, 1980, 3663, 2772, 3025, 990, 1035, 66, 99, 0, 1], [0, 15, 6, 389, 331, 2002, 2035, 3498, 3102, 2563, 1452, 705, 231, 44, 11, 0], [0, 15, 6, 390, 320, 2057, 1870, 3828, 2640, 3025, 1122, 870, 176, 55, 10, 0], [0, 15, 6, 391, 309, 2112, 1705, 4158, 2178, 3487, 792, 1035, 121, 66, 9, 0], [0, 15, 6, 392, 298, 2167, 1540, 4488, 1716, 3949, 462, 1200, 66, 77, 8, 0], [0, 15, 6, 393, 287, 2222, 1375, 4818, 1254, 4411, 132, 1365, 11, 88, 7, 0], [0, 15, 7, 373, 440, 1573, 3135, 1551, 5544, 385, 2805, 155, 352, 43, 5, 1], [0, 15, 7, 374, 429, 1628, 2970, 1881, 5082, 847, 2475, 320, 297, 54, 4, 1], [0, 15, 7, 375, 418, 1683, 2805, 2211, 4620, 1309, 2145, 485, 242, 65, 3, 1], [0, 15, 7, 375, 419, 1672, 2860, 2046, 4950, 847, 2607, 155, 407, 10, 14, 0], [0, 15, 7, 376, 407, 1738, 2640, 2541, 4158, 1771, 1815, 650, 187, 76, 2, 1], [0, 15, 7, 376, 408, 1727, 2695, 2376, 4488, 1309, 2277, 320, 352, 21, 13, 0], [0, 15, 7, 377, 396, 1793, 2475, 2871, 3696, 2233, 1485, 815, 132, 87, 1, 1], [0, 15, 7, 377, 397, 1782, 2530, 2706, 4026, 1771, 1947, 485, 297, 32, 12, 0], [0, 15, 7, 378, 385, 1848, 2310, 3201, 3234, 2695, 1155, 980, 77, 98, 0, 1], [0, 15, 7, 378, 386, 1837, 2365, 3036, 3564, 2233, 1617, 650, 242, 43, 11, 0], [0, 15, 7, 379, 375, 1892, 2200, 3366, 3102, 2695, 1287, 815, 187, 54, 10, 0], [0, 15, 7, 380, 364, 1947, 2035, 3696, 2640, 3157, 957, 980, 132, 65, 9, 0], [0, 15, 7, 381, 353, 2002, 1870, 4026, 2178, 3619, 627, 1145, 77, 76, 8, 0], [0, 15, 7, 382, 342, 2057, 1705, 4356, 1716, 4081, 297, 1310, 22, 87, 7, 0], [0, 15, 8, 362, 495, 1408, 3465, 1089, 6006, 55, 2970, 100, 363, 42, 5, 1], [0, 15, 8, 363, 484, 1463, 3300, 1419, 5544, 517, 2640, 265, 308, 53, 4, 1], [0, 15, 8, 364, 473, 1518, 3135, 1749, 5082, 979, 2310, 430, 253, 64, 3, 1], [0, 15, 8, 364, 474, 1507, 3190, 1584, 5412, 517, 2772, 100, 418, 9, 14, 0], [0, 15, 8, 365, 462, 1573, 2970, 2079, 4620, 1441, 1980, 595, 198, 75, 2, 1], [0, 15, 8, 365, 463, 1562, 3025, 1914, 4950, 979, 2442, 265, 363, 20, 13, 0], [0, 15, 8, 366, 451, 1628, 2805, 2409, 4158, 1903, 1650, 760, 143, 86, 1, 1], [0, 15, 8, 366, 452, 1617, 2860, 2244, 4488, 1441, 2112, 430, 308, 31, 12, 0], [0, 15, 8, 367, 440, 1683, 2640, 2739, 3696, 2365, 1320, 925, 88, 97, 0, 1], [0, 15, 8, 367, 441, 1672, 2695, 2574, 4026, 1903, 1782, 595, 253, 42, 11, 0], [0, 15, 8, 368, 430, 1727, 2530, 2904, 3564, 2365, 1452, 760, 198, 53, 10, 0], [0, 15, 8, 369, 419, 1782, 2365, 3234, 3102, 2827, 1122, 925, 143, 64, 9, 0], [0, 15, 8, 370, 408, 1837, 2200, 3564, 2640, 3289, 792, 1090, 88, 75, 8, 0], [0, 15, 8, 371, 397, 1892, 2035, 3894, 2178, 3751, 462, 1255, 33, 86, 7, 0], [0, 15, 9, 352, 539, 1298, 3630, 957, 6006, 187, 2805, 210, 319, 52, 4, 1], [0, 15, 9, 353, 528, 1353, 3465, 1287, 5544, 649, 2475, 375, 264, 63, 3, 1], [0, 15, 9, 353, 529, 1342, 3520, 1122, 5874, 187, 2937, 45, 429, 8, 14, 0], [0, 15, 9, 354, 517, 1408, 3300, 1617, 5082, 1111, 2145, 540, 209, 74, 2, 1], [0, 15, 9, 354, 518, 1397, 3355, 1452, 5412, 649, 2607, 210, 374, 19, 13, 0], [0, 15, 9, 355, 506, 1463, 3135, 1947, 4620, 1573, 1815, 705, 154, 85, 1, 1], [0, 15, 9, 355, 507, 1452, 3190, 1782, 4950, 1111, 2277, 375, 319, 30, 12, 0], [0, 15, 9, 356, 495, 1518, 2970, 2277, 4158, 2035, 1485, 870, 99, 96, 0, 1], [0, 15, 9, 356, 496, 1507, 3025, 2112, 4488, 1573, 1947, 540, 264, 41, 11, 0], [0, 15, 9, 357, 485, 1562, 2860, 2442, 4026, 2035, 1617, 705, 209, 52, 10, 0], [0, 15, 9, 358, 474, 1617, 2695, 2772, 3564, 2497, 1287, 870, 154, 63, 9, 0], [0, 15, 9, 359, 463, 1672, 2530, 3102, 3102, 2959, 957, 1035, 99, 74, 8, 0], [0, 15, 9, 360, 452, 1727, 2365, 3432, 2640, 3421, 627, 1200, 44, 85, 7, 0], [0, 15, 10, 342, 583, 1188, 3795, 825, 6006, 319, 2640, 320, 275, 62, 3, 1], [0, 15, 10, 343, 572, 1243, 3630, 1155, 5544, 781, 2310, 485, 220, 73, 2, 1], [0, 15, 10, 343, 573, 1232, 3685, 990, 5874, 319, 2772, 155, 385, 18, 13, 0], [0, 15, 10, 344, 561, 1298, 3465, 1485, 5082, 1243, 1980, 650, 165, 84, 1, 1], [0, 15, 10, 344, 562, 1287, 3520, 1320, 5412, 781, 2442, 320, 330, 29, 12, 0], [0, 15, 10, 345, 550, 1353, 3300, 1815, 4620, 1705, 1650, 815, 110, 95, 0, 1], [0, 15, 10, 345, 551, 1342, 3355, 1650, 4950, 1243, 2112, 485, 275, 40, 11, 0], [0, 15, 10, 346, 540, 1397, 3190, 1980, 4488, 1705, 1782, 650, 220, 51, 10, 0], [0, 15, 10, 347, 529, 1452, 3025, 2310, 4026, 2167, 1452, 815, 165, 62, 9, 0], [0, 15, 10, 348, 518, 1507, 2860, 2640, 3564, 2629, 1122, 980, 110, 73, 8, 0], [0, 15, 10, 349, 507, 1562, 2695, 2970, 3102, 3091, 792, 1145, 55, 84, 7, 0], [0, 15, 10, 350, 496, 1617, 2530, 3300, 2640, 3553, 462, 1310, 0, 95, 6, 0], [0, 15, 11, 332, 627, 1078, 3960, 693, 6006, 451, 2475, 430, 231, 72, 2, 1], [0, 15, 11, 333, 616, 1133, 3795, 1023, 5544, 913, 2145, 595, 176, 83, 1, 1], [0, 15, 11, 333, 617, 1122, 3850, 858, 5874, 451, 2607, 265, 341, 28, 12, 0], [0, 15, 11, 334, 605, 1188, 3630, 1353, 5082, 1375, 1815, 760, 121, 94, 0, 1], [0, 15, 11, 334, 606, 1177, 3685, 1188, 5412, 913, 2277, 430, 286, 39, 11, 0], [0, 15, 11, 335, 595, 1232, 3520, 1518, 4950, 1375, 1947, 595, 231, 50, 10, 0], [0, 15, 11, 336, 584, 1287, 3355, 1848, 4488, 1837, 1617, 760, 176, 61, 9, 0], [0, 15, 11, 337, 573, 1342, 3190, 2178, 4026, 2299, 1287, 925, 121, 72, 8, 0], [0, 15, 11, 338, 562, 1397, 3025, 2508, 3564, 2761, 957, 1090, 66, 83, 7, 0], [0, 15, 11, 339, 551, 1452, 2860, 2838, 3102, 3223, 627, 1255, 11, 94, 6, 0], [0, 15, 12, 321, 682, 913, 4290, 231, 6468, 121, 2640, 375, 242, 71, 2, 1], [0, 15, 12, 322, 671, 968, 4125, 561, 6006, 583, 2310, 540, 187, 82, 1, 1], [0, 15, 12, 322, 672, 957, 4180, 396, 6336, 121, 2772, 210, 352, 27, 12, 0], [0, 15, 12, 323, 660, 1023, 3960, 891, 5544, 1045, 1980, 705, 132, 93, 0, 1], [0, 15, 12, 323, 661, 1012, 4015, 726, 5874, 583, 2442, 375, 297, 38, 11, 0], [0, 15, 12, 324, 650, 1067, 3850, 1056, 5412, 1045, 2112, 540, 242, 49, 10, 0], [0, 15, 12, 325, 639, 1122, 3685, 1386, 4950, 1507, 1782, 705, 187, 60, 9, 0], [0, 15, 12, 326, 628, 1177, 3520, 1716, 4488, 1969, 1452, 870, 132, 71, 8, 0], [0, 15, 12, 327, 617, 1232, 3355, 2046, 4026, 2431, 1122, 1035, 77, 82, 7, 0], [0, 15, 12, 328, 606, 1287, 3190, 2376, 3564, 2893, 792, 1200, 22, 93, 6, 0], [0, 15, 13, 311, 726, 803, 4455, 99, 6468, 253, 2475, 485, 198, 81, 1, 1], [0, 15, 13, 312, 715, 858, 4290, 429, 6006, 715, 2145, 650, 143, 92, 0, 1], [0, 15, 13, 312, 716, 847, 4345, 264, 6336, 253, 2607, 320, 308, 37, 11, 0], [0, 15, 13, 313, 705, 902, 4180, 594, 5874, 715, 2277, 485, 253, 48, 10, 0], [0, 15, 13, 314, 694, 957, 4015, 924, 5412, 1177, 1947, 650, 198, 59, 9, 0], [0, 15, 13, 315, 683, 1012, 3850, 1254, 4950, 1639, 1617, 815, 143, 70, 8, 0], [0, 15, 13, 316, 672, 1067, 3685, 1584, 4488, 2101, 1287, 980, 88, 81, 7, 0], [0, 15, 13, 317, 661, 1122, 3520, 1914, 4026, 2563, 957, 1145, 33, 92, 6, 0], [0, 15, 14, 302, 760, 737, 4510, 132, 6336, 385, 2442, 430, 264, 47, 10, 0], [0, 15, 14, 303, 749, 792, 4345, 462, 5874, 847, 2112, 595, 209, 58, 9, 0], [0, 15, 14, 304, 738, 847, 4180, 792, 5412, 1309, 1782, 760, 154, 69, 8, 0], [0, 15, 14, 305, 727, 902, 4015, 1122, 4950, 1771, 1452, 925, 99, 80, 7, 0], [0, 15, 14, 306, 716, 957, 3850, 1452, 4488, 2233, 1122, 1090, 44, 91, 6, 0], [0, 15, 15, 292, 804, 627, 4675, 0, 6336, 517, 2277, 540, 220, 57, 9, 0], [0, 15, 15, 293, 793, 682, 4510, 330, 5874, 979, 1947, 705, 165, 68, 8, 0], [0, 15, 15, 294, 782, 737, 4345, 660, 5412, 1441, 1617, 870, 110, 79, 7, 0], [0, 15, 15, 295, 771, 792, 4180, 990, 4950, 1903, 1287, 1035, 55, 90, 6, 0], [0, 15, 15, 296, 760, 847, 4015, 1320, 4488, 2365, 957, 1200, 0, 101, 5, 0], [0, 15, 16, 283, 837, 572, 4675, 198, 5874, 1111, 1782, 815, 121, 78, 7, 0], [0, 15, 16, 284, 826, 627, 4510, 528, 5412, 1573, 1452, 980, 66, 89, 6, 0], [0, 15, 16, 285, 815, 682, 4345, 858, 4950, 2035, 1122, 1145, 11, 100, 5, 0], [0, 15, 17, 273, 881, 462, 4840, 66, 5874, 1243, 1617, 925, 77, 88, 6, 0], [0, 15, 17, 274, 870, 517, 4675, 396, 5412, 1705, 1287, 1090, 22, 99, 5, 0], [0, 16, 0, 386, 473, 1353, 3663, 825, 6138, 154, 2750, 276, 285, 61, 3, 1], [0, 16, 0, 387, 462, 1408, 3498, 1155, 5676, 616, 2420, 441, 230, 72, 2, 1], [0, 16, 0, 387, 463, 1397, 3553, 990, 6006, 154, 2882, 111, 395, 17, 13, 0], [0, 16, 0, 388, 451, 1463, 3333, 1485, 5214, 1078, 2090, 606, 175, 83, 1, 1], [0, 16, 0, 388, 452, 1452, 3388, 1320, 5544, 616, 2552, 276, 340, 28, 12, 0], [0, 16, 0, 389, 440, 1518, 3168, 1815, 4752, 1540, 1760, 771, 120, 94, 0, 1], [0, 16, 0, 389, 441, 1507, 3223, 1650, 5082, 1078, 2222, 441, 285, 39, 11, 0], [0, 16, 0, 390, 430, 1562, 3058, 1980, 4620, 1540, 1892, 606, 230, 50, 10, 0], [0, 16, 0, 391, 419, 1617, 2893, 2310, 4158, 2002, 1562, 771, 175, 61, 9, 0], [0, 16, 0, 392, 408, 1672, 2728, 2640, 3696, 2464, 1232, 936, 120, 72, 8, 0], [0, 16, 0, 393, 397, 1727, 2563, 2970, 3234, 2926, 902, 1101, 65, 83, 7, 0], [0, 16, 0, 394, 386, 1782, 2398, 3300, 2772, 3388, 572, 1266, 10, 94, 6, 0], [0, 16, 1, 376, 517, 1243, 3828, 693, 6138, 286, 2585, 386, 241, 71, 2, 1], [0, 16, 1, 377, 506, 1298, 3663, 1023, 5676, 748, 2255, 551, 186, 82, 1, 1], [0, 16, 1, 377, 507, 1287, 3718, 858, 6006, 286, 2717, 221, 351, 27, 12, 0], [0, 16, 1, 378, 495, 1353, 3498, 1353, 5214, 1210, 1925, 716, 131, 93, 0, 1], [0, 16, 1, 378, 496, 1342, 3553, 1188, 5544, 748, 2387, 386, 296, 38, 11, 0], [0, 16, 1, 379, 485, 1397, 3388, 1518, 5082, 1210, 2057, 551, 241, 49, 10, 0], [0, 16, 1, 380, 474, 1452, 3223, 1848, 4620, 1672, 1727, 716, 186, 60, 9, 0], [0, 16, 1, 381, 463, 1507, 3058, 2178, 4158, 2134, 1397, 881, 131, 71, 8, 0], [0, 16, 1, 382, 452, 1562, 2893, 2508, 3696, 2596, 1067, 1046, 76, 82, 7, 0], [0, 16, 1, 383, 441, 1617, 2728, 2838, 3234, 3058, 737, 1211, 21, 93, 6, 0], [0, 16, 2, 366, 561, 1133, 3993, 561, 6138, 418, 2420, 496, 197, 81, 1, 1], [0, 16, 2, 367, 550, 1188, 3828, 891, 5676, 880, 2090, 661, 142, 92, 0, 1], [0, 16, 2, 367, 551, 1177, 3883, 726, 6006, 418, 2552, 331, 307, 37, 11, 0], [0, 16, 2, 368, 540, 1232, 3718, 1056, 5544, 880, 2222, 496, 252, 48, 10, 0], [0, 16, 2, 369, 529, 1287, 3553, 1386, 5082, 1342, 1892, 661, 197, 59, 9, 0], [0, 16, 2, 370, 518, 1342, 3388, 1716, 4620, 1804, 1562, 826, 142, 70, 8, 0], [0, 16, 2, 371, 507, 1397, 3223, 2046, 4158, 2266, 1232, 991, 87, 81, 7, 0], [0, 16, 2, 372, 496, 1452, 3058, 2376, 3696, 2728, 902, 1156, 32, 92, 6, 0], [0, 16, 3, 355, 616, 968, 4323, 99, 6600, 88, 2585, 441, 208, 80, 1, 1], [0, 16, 3, 356, 605, 1023, 4158, 429, 6138, 550, 2255, 606, 153, 91, 0, 1], [0, 16, 3, 356, 606, 1012, 4213, 264, 6468, 88, 2717, 276, 318, 36, 11, 0], [0, 16, 3, 357, 595, 1067, 4048, 594, 6006, 550, 2387, 441, 263, 47, 10, 0], [0, 16, 3, 358, 584, 1122, 3883, 924, 5544, 1012, 2057, 606, 208, 58, 9, 0], [0, 16, 3, 359, 573, 1177, 3718, 1254, 5082, 1474, 1727, 771, 153, 69, 8, 0], [0, 16, 3, 360, 562, 1232, 3553, 1584, 4620, 1936, 1397, 936, 98, 80, 7, 0], [0, 16, 3, 361, 551, 1287, 3388, 1914, 4158, 2398, 1067, 1101, 43, 91, 6, 0], [0, 16, 4, 346, 650, 902, 4378, 132, 6468, 220, 2552, 386, 274, 46, 10, 0], [0, 16, 4, 347, 639, 957, 4213, 462, 6006, 682, 2222, 551, 219, 57, 9, 0], [0, 16, 4, 348, 628, 1012, 4048, 792, 5544, 1144, 1892, 716, 164, 68, 8, 0], [0, 16, 4, 349, 617, 1067, 3883, 1122, 5082, 1606, 1562, 881, 109, 79, 7, 0], [0, 16, 4, 350, 606, 1122, 3718, 1452, 4620, 2068, 1232, 1046, 54, 90, 6, 0], [0, 16, 5, 336, 694, 792, 4543, 0, 6468, 352, 2387, 496, 230, 56, 9, 0], [0, 16, 5, 337, 683, 847, 4378, 330, 6006, 814, 2057, 661, 175, 67, 8, 0], [0, 16, 5, 338, 672, 902, 4213, 660, 5544, 1276, 1727, 826, 120, 78, 7, 0], [0, 16, 5, 339, 661, 957, 4048, 990, 5082, 1738, 1397, 991, 65, 89, 6, 0], [0, 16, 5, 340, 650, 1012, 3883, 1320, 4620, 2200, 1067, 1156, 10, 100, 5, 0], [0, 16, 6, 327, 727, 737, 4543, 198, 6006, 946, 1892, 771, 131, 77, 7, 0], [0, 16, 6, 328, 716, 792, 4378, 528, 5544, 1408, 1562, 936, 76, 88, 6, 0], [0, 16, 6, 329, 705, 847, 4213, 858, 5082, 1870, 1232, 1101, 21, 99, 5, 0], [0, 16, 7, 317, 771, 627, 4708, 66, 6006, 1078, 1727, 881, 87, 87, 6, 0], [0, 16, 7, 318, 760, 682, 4543, 396, 5544, 1540, 1397, 1046, 32, 98, 5, 0], [1, 0, 86, 199, 428, 2607, 275, 5808, 1617, 2574, 2244, 55, 466, 19, 3, 2], [1, 0, 86, 200, 417, 2662, 110, 6138, 1155, 3036, 1914, 220, 411, 30, 2, 2], [1, 0, 87, 188, 483, 2442, 605, 5346, 2079, 2244, 2409, 0, 477, 18, 3, 2], [1, 0, 87, 189, 472, 2497, 440, 5676, 1617, 2706, 2079, 165, 422, 29, 2, 2], [1, 0, 87, 190, 461, 2552, 275, 6006, 1155, 3168, 1749, 330, 367, 40, 1, 2], [1, 0, 87, 191, 450, 2607, 110, 6336, 693, 3630, 1419, 495, 312, 51, 0, 2], [1, 0, 87, 192, 440, 2651, 0, 6501, 561, 3630, 1551, 330, 422, 7, 10, 1], [1, 0, 88, 178, 527, 2332, 770, 5214, 2079, 2376, 2244, 110, 433, 28, 2, 2], [1, 0, 88, 179, 516, 2387, 605, 5544, 1617, 2838, 1914, 275, 378, 39, 1, 2], [1, 0, 88, 180, 505, 2442, 440, 5874, 1155, 3300, 1584, 440, 323, 50, 0, 2], [1, 0, 88, 181, 495, 2486, 330, 6039, 1023, 3300, 1716, 275, 433, 6, 10, 1], [1, 0, 88, 182, 484, 2541, 165, 6369, 561, 3762, 1386, 440, 378, 17, 9, 1], [1, 0, 88, 183, 473, 2596, 0, 6699, 99, 4224, 1056, 605, 323, 28, 8, 1], [1, 0, 89, 167, 582, 2167, 1100, 4752, 2541, 2046, 2409, 55, 444, 27, 2, 2], [1, 0, 89, 168, 571, 2222, 935, 5082, 2079, 2508, 2079, 220, 389, 38, 1, 2], [1, 0, 89, 169, 560, 2277, 770, 5412, 1617, 2970, 1749, 385, 334, 49, 0, 2], [1, 0, 89, 170, 550, 2321, 660, 5577, 1485, 2970, 1881, 220, 444, 5, 10, 1], [1, 0, 89, 171, 539, 2376, 495, 5907, 1023, 3432, 1551, 385, 389, 16, 9, 1], [1, 0, 89, 172, 528, 2431, 330, 6237, 561, 3894, 1221, 550, 334, 27, 8, 1], [1, 0, 89, 173, 517, 2486, 165, 6567, 99, 4356, 891, 715, 279, 38, 7, 1], [1, 0, 90, 156, 637, 2002, 1430, 4290, 3003, 1716, 2574, 0, 455, 26, 2, 2], [1, 0, 90, 157, 626, 2057, 1265, 4620, 2541, 2178, 2244, 165, 400, 37, 1, 2], [1, 0, 90, 158, 615, 2112, 1100, 4950, 2079, 2640, 1914, 330, 345, 48, 0, 2], [1, 0, 90, 159, 605, 2156, 990, 5115, 1947, 2640, 2046, 165, 455, 4, 10, 1], [1, 0, 90, 160, 594, 2211, 825, 5445, 1485, 3102, 1716, 330, 400, 15, 9, 1], [1, 0, 90, 161, 583, 2266, 660, 5775, 1023, 3564, 1386, 495, 345, 26, 8, 1], [1, 0, 90, 162, 572, 2321, 495, 6105, 561, 4026, 1056, 660, 290, 37, 7, 1], [1, 0, 90, 163, 561, 2376, 330, 6435, 99, 4488, 726, 825, 235, 48, 6, 1], [1, 0, 91, 146, 681, 1892, 1595, 4158, 3003, 1848, 2409, 110, 411, 36, 1, 2], [1, 0, 91, 147, 670, 1947, 1430, 4488, 2541, 2310, 2079, 275, 356, 47, 0, 2], [1, 0, 91, 148, 660, 1991, 1320, 4653, 2409, 2310, 2211, 110, 466, 3, 10, 1], [1, 0, 91, 149, 649, 2046, 1155, 4983, 1947, 2772, 1881, 275, 411, 14, 9, 1], [1, 0, 91, 150, 638, 2101, 990, 5313, 1485, 3234, 1551, 440, 356, 25, 8, 1], [1, 0, 91, 151, 627, 2156, 825, 5643, 1023, 3696, 1221, 605, 301, 36, 7, 1], [1, 0, 91, 152, 616, 2211, 660, 5973, 561, 4158, 891, 770, 246, 47, 6, 1], [1, 0, 91, 153, 605, 2266, 495, 6303, 99, 4620, 561, 935, 191, 58, 5, 1], [1, 0, 91, 153, 606, 2255, 550, 6138, 429, 4158, 1023, 605, 356, 3, 16, 0], [1, 0, 92, 135, 736, 1727, 1925, 3696, 3465, 1518, 2574, 55, 422, 35, 1, 2], [1, 0, 92, 136, 725, 1782, 1760, 4026, 3003, 1980, 2244, 220, 367, 46, 0, 2], [1, 0, 92, 137, 715, 1826, 1650, 4191, 2871, 1980, 2376, 55, 477, 2, 10, 1], [1, 0, 92, 138, 704, 1881, 1485, 4521, 2409, 2442, 2046, 220, 422, 13, 9, 1], [1, 0, 92, 139, 693, 1936, 1320, 4851, 1947, 2904, 1716, 385, 367, 24, 8, 1], [1, 0, 92, 140, 682, 1991, 1155, 5181, 1485, 3366, 1386, 550, 312, 35, 7, 1], [1, 0, 92, 141, 671, 2046, 990, 5511, 1023, 3828, 1056, 715, 257, 46, 6, 1], [1, 0, 92, 142, 660, 2101, 825, 5841, 561, 4290, 726, 880, 202, 57, 5, 1], [1, 0, 92, 142, 661, 2090, 880, 5676, 891, 3828, 1188, 550, 367, 2, 16, 0], [1, 0, 92, 143, 649, 2156, 660, 6171, 99, 4752, 396, 1045, 147, 68, 4, 1], [1, 0, 92, 143, 650, 2145, 715, 6006, 429, 4290, 858, 715, 312, 13, 15, 0], [1, 0, 93, 124, 791, 1562, 2255, 3234, 3927, 1188, 2739, 0, 433, 34, 1, 2], [1, 0, 93, 125, 780, 1617, 2090, 3564, 3465, 1650, 2409, 165, 378, 45, 0, 2], [1, 0, 93, 126, 770, 1661, 1980, 3729, 3333, 1650, 2541, 0, 488, 1, 10, 1], [1, 0, 93, 127, 759, 1716, 1815, 4059, 2871, 2112, 2211, 165, 433, 12, 9, 1], [1, 0, 93, 128, 748, 1771, 1650, 4389, 2409, 2574, 1881, 330, 378, 23, 8, 1], [1, 0, 93, 129, 737, 1826, 1485, 4719, 1947, 3036, 1551, 495, 323, 34, 7, 1], [1, 0, 93, 130, 726, 1881, 1320, 5049, 1485, 3498, 1221, 660, 268, 45, 6, 1], [1, 0, 93, 131, 715, 1936, 1155, 5379, 1023, 3960, 891, 825, 213, 56, 5, 1], [1, 0, 93, 131, 716, 1925, 1210, 5214, 1353, 3498, 1353, 495, 378, 1, 16, 0], [1, 0, 93, 132, 704, 1991, 990, 5709, 561, 4422, 561, 990, 158, 67, 4, 1], [1, 0, 93, 132, 705, 1980, 1045, 5544, 891, 3960, 1023, 660, 323, 12, 15, 0], [1, 0, 93, 133, 693, 2046, 825, 6039, 99, 4884, 231, 1155, 103, 78, 3, 1], [1, 0, 93, 133, 694, 2035, 880, 5874, 429, 4422, 693, 825, 268, 23, 14, 0], [1, 0, 94, 114, 835, 1452, 2420, 3102, 3927, 1320, 2574, 110, 389, 44, 0, 2], [1, 0, 94, 116, 814, 1551, 2145, 3597, 3333, 1782, 2376, 110, 444, 11, 9, 1], [1, 0, 94, 117, 803, 1606, 1980, 3927, 2871, 2244, 2046, 275, 389, 22, 8, 1], [1, 0, 94, 118, 792, 1661, 1815, 4257, 2409, 2706, 1716, 440, 334, 33, 7, 1], [1, 0, 94, 119, 781, 1716, 1650, 4587, 1947, 3168, 1386, 605, 279, 44, 6, 1], [1, 0, 94, 120, 770, 1771, 1485, 4917, 1485, 3630, 1056, 770, 224, 55, 5, 1], [1, 0, 94, 120, 771, 1760, 1540, 4752, 1815, 3168, 1518, 440, 389, 0, 16, 0], [1, 0, 94, 121, 759, 1826, 1320, 5247, 1023, 4092, 726, 935, 169, 66, 4, 1], [1, 0, 94, 121, 760, 1815, 1375, 5082, 1353, 3630, 1188, 605, 334, 11, 15, 0], [1, 0, 94, 122, 748, 1881, 1155, 5577, 561, 4554, 396, 1100, 114, 77, 3, 1], [1, 0, 94, 122, 749, 1870, 1210, 5412, 891, 4092, 858, 770, 279, 22, 14, 0], [1, 0, 94, 123, 737, 1936, 990, 5907, 99, 5016, 66, 1265, 59, 88, 2, 1], [1, 0, 94, 123, 738, 1925, 1045, 5742, 429, 4554, 528, 935, 224, 33, 13, 0], [1, 0, 95, 103, 890, 1287, 2750, 2640, 4389, 990, 2739, 55, 400, 43, 0, 2], [1, 0, 95, 105, 869, 1386, 2475, 3135, 3795, 1452, 2541, 55, 455, 10, 9, 1], [1, 0, 95, 106, 858, 1441, 2310, 3465, 3333, 1914, 2211, 220, 400, 21, 8, 1], [1, 0, 95, 107, 847, 1496, 2145, 3795, 2871, 2376, 1881, 385, 345, 32, 7, 1], [1, 0, 95, 108, 836, 1551, 1980, 4125, 2409, 2838, 1551, 550, 290, 43, 6, 1], [1, 0, 95, 109, 825, 1606, 1815, 4455, 1947, 3300, 1221, 715, 235, 54, 5, 1], [1, 0, 95, 110, 814, 1661, 1650, 4785, 1485, 3762, 891, 880, 180, 65, 4, 1], [1, 0, 95, 110, 815, 1650, 1705, 4620, 1815, 3300, 1353, 550, 345, 10, 15, 0], [1, 0, 95, 111, 803, 1716, 1485, 5115, 1023, 4224, 561, 1045, 125, 76, 3, 1], [1, 0, 95, 111, 804, 1705, 1540, 4950, 1353, 3762, 1023, 715, 290, 21, 14, 0], [1, 0, 95, 112, 792, 1771, 1320, 5445, 561, 4686, 231, 1210, 70, 87, 2, 1], [1, 0, 95, 112, 793, 1760, 1375, 5280, 891, 4224, 693, 880, 235, 32, 13, 0], [1, 0, 95, 113, 782, 1815, 1210, 5610, 429, 4686, 363, 1045, 180, 43, 12, 0], [1, 0, 96, 92, 945, 1122, 3080, 2178, 4851, 660, 2904, 0, 411, 42, 0, 2], [1, 0, 96, 94, 924, 1221, 2805, 2673, 4257, 1122, 2706, 0, 466, 9, 9, 1], [1, 0, 96, 95, 913, 1276, 2640, 3003, 3795, 1584, 2376, 165, 411, 20, 8, 1], [1, 0, 96, 96, 902, 1331, 2475, 3333, 3333, 2046, 2046, 330, 356, 31, 7, 1], [1, 0, 96, 97, 891, 1386, 2310, 3663, 2871, 2508, 1716, 495, 301, 42, 6, 1], [1, 0, 96, 98, 880, 1441, 2145, 3993, 2409, 2970, 1386, 660, 246, 53, 5, 1], [1, 0, 96, 99, 869, 1496, 1980, 4323, 1947, 3432, 1056, 825, 191, 64, 4, 1], [1, 0, 96, 99, 870, 1485, 2035, 4158, 2277, 2970, 1518, 495, 356, 9, 15, 0], [1, 0, 96, 100, 858, 1551, 1815, 4653, 1485, 3894, 726, 990, 136, 75, 3, 1], [1, 0, 96, 100, 859, 1540, 1870, 4488, 1815, 3432, 1188, 660, 301, 20, 14, 0], [1, 0, 96, 101, 847, 1606, 1650, 4983, 1023, 4356, 396, 1155, 81, 86, 2, 1], [1, 0, 96, 101, 848, 1595, 1705, 4818, 1353, 3894, 858, 825, 246, 31, 13, 0], [1, 0, 96, 102, 836, 1661, 1485, 5313, 561, 4818, 66, 1320, 26, 97, 1, 1], [1, 0, 96, 102, 837, 1650, 1540, 5148, 891, 4356, 528, 990, 191, 42, 12, 0], [1, 0, 96, 103, 826, 1705, 1375, 5478, 429, 4818, 198, 1155, 136, 53, 11, 0], [1, 0, 97, 84, 968, 1111, 2970, 2541, 4257, 1254, 2541, 110, 422, 19, 8, 1], [1, 0, 97, 85, 957, 1166, 2805, 2871, 3795, 1716, 2211, 275, 367, 30, 7, 1], [1, 0, 97, 86, 946, 1221, 2640, 3201, 3333, 2178, 1881, 440, 312, 41, 6, 1], [1, 0, 97, 87, 935, 1276, 2475, 3531, 2871, 2640, 1551, 605, 257, 52, 5, 1], [1, 0, 97, 88, 924, 1331, 2310, 3861, 2409, 3102, 1221, 770, 202, 63, 4, 1], [1, 0, 97, 88, 925, 1320, 2365, 3696, 2739, 2640, 1683, 440, 367, 8, 15, 0], [1, 0, 97, 89, 913, 1386, 2145, 4191, 1947, 3564, 891, 935, 147, 74, 3, 1], [1, 0, 97, 89, 914, 1375, 2200, 4026, 2277, 3102, 1353, 605, 312, 19, 14, 0], [1, 0, 97, 90, 902, 1441, 1980, 4521, 1485, 4026, 561, 1100, 92, 85, 2, 1], [1, 0, 97, 90, 903, 1430, 2035, 4356, 1815, 3564, 1023, 770, 257, 30, 13, 0], [1, 0, 97, 91, 891, 1496, 1815, 4851, 1023, 4488, 231, 1265, 37, 96, 1, 1], [1, 0, 97, 91, 892, 1485, 1870, 4686, 1353, 4026, 693, 935, 202, 41, 12, 0], [1, 0, 97, 92, 881, 1540, 1705, 5016, 891, 4488, 363, 1100, 147, 52, 11, 0], [1, 0, 97, 93, 870, 1595, 1540, 5346, 429, 4950, 33, 1265, 92, 63, 10, 0], [1, 0, 98, 73, 1023, 946, 3300, 2079, 4719, 924, 2706, 55, 433, 18, 8, 1], [1, 0, 98, 74, 1012, 1001, 3135, 2409, 4257, 1386, 2376, 220, 378, 29, 7, 1], [1, 0, 98, 75, 1001, 1056, 2970, 2739, 3795, 1848, 2046, 385, 323, 40, 6, 1], [1, 0, 98, 76, 990, 1111, 2805, 3069, 3333, 2310, 1716, 550, 268, 51, 5, 1], [1, 0, 98, 77, 979, 1166, 2640, 3399, 2871, 2772, 1386, 715, 213, 62, 4, 1], [1, 0, 98, 77, 980, 1155, 2695, 3234, 3201, 2310, 1848, 385, 378, 7, 15, 0], [1, 0, 98, 78, 968, 1221, 2475, 3729, 2409, 3234, 1056, 880, 158, 73, 3, 1], [1, 0, 98, 78, 969, 1210, 2530, 3564, 2739, 2772, 1518, 550, 323, 18, 14, 0], [1, 0, 98, 79, 957, 1276, 2310, 4059, 1947, 3696, 726, 1045, 103, 84, 2, 1], [1, 0, 98, 79, 958, 1265, 2365, 3894, 2277, 3234, 1188, 715, 268, 29, 13, 0], [1, 0, 98, 80, 946, 1331, 2145, 4389, 1485, 4158, 396, 1210, 48, 95, 1, 1], [1, 0, 98, 80, 947, 1320, 2200, 4224, 1815, 3696, 858, 880, 213, 40, 12, 0], [1, 0, 98, 81, 936, 1375, 2035, 4554, 1353, 4158, 528, 1045, 158, 51, 11, 0], [1, 0, 98, 82, 925, 1430, 1870, 4884, 891, 4620, 198, 1210, 103, 62, 10, 0], [1, 0, 99, 62, 1078, 781, 3630, 1617, 5181, 594, 2871, 0, 444, 17, 8, 1], [1, 0, 99, 63, 1067, 836, 3465, 1947, 4719, 1056, 2541, 165, 389, 28, 7, 1], [1, 0, 99, 64, 1056, 891, 3300, 2277, 4257, 1518, 2211, 330, 334, 39, 6, 1], [1, 0, 99, 65, 1045, 946, 3135, 2607, 3795, 1980, 1881, 495, 279, 50, 5, 1], [1, 0, 99, 66, 1034, 1001, 2970, 2937, 3333, 2442, 1551, 660, 224, 61, 4, 1], [1, 0, 99, 66, 1035, 990, 3025, 2772, 3663, 1980, 2013, 330, 389, 6, 15, 0], [1, 0, 99, 67, 1023, 1056, 2805, 3267, 2871, 2904, 1221, 825, 169, 72, 3, 1], [1, 0, 99, 67, 1024, 1045, 2860, 3102, 3201, 2442, 1683, 495, 334, 17, 14, 0], [1, 0, 99, 68, 1012, 1111, 2640, 3597, 2409, 3366, 891, 990, 114, 83, 2, 1], [1, 0, 99, 68, 1013, 1100, 2695, 3432, 2739, 2904, 1353, 660, 279, 28, 13, 0], [1, 0, 99, 69, 1001, 1166, 2475, 3927, 1947, 3828, 561, 1155, 59, 94, 1, 1], [1, 0, 99, 69, 1002, 1155, 2530, 3762, 2277, 3366, 1023, 825, 224, 39, 12, 0], [1, 0, 99, 70, 990, 1221, 2310, 4257, 1485, 4290, 231, 1320, 4, 105, 0, 1], [1, 0, 99, 70, 991, 1210, 2365, 4092, 1815, 3828, 693, 990, 169, 50, 11, 0], [1, 0, 99, 71, 980, 1265, 2200, 4422, 1353, 4290, 363, 1155, 114, 61, 10, 0], [1, 0, 99, 72, 969, 1320, 2035, 4752, 891, 4752, 33, 1320, 59, 72, 9, 0], [1, 0, 100, 52, 1122, 671, 3795, 1485, 5181, 726, 2706, 110, 400, 27, 7, 1], [1, 0, 100, 53, 1111, 726, 3630, 1815, 4719, 1188, 2376, 275, 345, 38, 6, 1], [1, 0, 100, 54, 1100, 781, 3465, 2145, 4257, 1650, 2046, 440, 290, 49, 5, 1], [1, 0, 100, 55, 1089, 836, 3300, 2475, 3795, 2112, 1716, 605, 235, 60, 4, 1], [1, 0, 100, 55, 1090, 825, 3355, 2310, 4125, 1650, 2178, 275, 400, 5, 15, 0], [1, 0, 100, 56, 1078, 891, 3135, 2805, 3333, 2574, 1386, 770, 180, 71, 3, 1], [1, 0, 100, 56, 1079, 880, 3190, 2640, 3663, 2112, 1848, 440, 345, 16, 14, 0], [1, 0, 100, 57, 1067, 946, 2970, 3135, 2871, 3036, 1056, 935, 125, 82, 2, 1], [1, 0, 100, 57, 1068, 935, 3025, 2970, 3201, 2574, 1518, 605, 290, 27, 13, 0], [1, 0, 100, 58, 1056, 1001, 2805, 3465, 2409, 3498, 726, 1100, 70, 93, 1, 1], [1, 0, 100, 58, 1057, 990, 2860, 3300, 2739, 3036, 1188, 770, 235, 38, 12, 0], [1, 0, 100, 59, 1045, 1056, 2640, 3795, 1947, 3960, 396, 1265, 15, 104, 0, 1], [1, 0, 100, 59, 1046, 1045, 2695, 3630, 2277, 3498, 858, 935, 180, 49, 11, 0], [1, 0, 100, 60, 1035, 1100, 2530, 3960, 1815, 3960, 528, 1100, 125, 60, 10, 0], [1, 0, 100, 61, 1024, 1155, 2365, 4290, 1353, 4422, 198, 1265, 70, 71, 9, 0], [1, 0, 101, 41, 1177, 506, 4125, 1023, 5643, 396, 2871, 55, 411, 26, 7, 1], [1, 0, 101, 42, 1166, 561, 3960, 1353, 5181, 858, 2541, 220, 356, 37, 6, 1], [1, 0, 101, 43, 1155, 616, 3795, 1683, 4719, 1320, 2211, 385, 301, 48, 5, 1], [1, 0, 101, 44, 1144, 671, 3630, 2013, 4257, 1782, 1881, 550, 246, 59, 4, 1], [1, 0, 101, 44, 1145, 660, 3685, 1848, 4587, 1320, 2343, 220, 411, 4, 15, 0], [1, 0, 101, 45, 1133, 726, 3465, 2343, 3795, 2244, 1551, 715, 191, 70, 3, 1], [1, 0, 101, 45, 1134, 715, 3520, 2178, 4125, 1782, 2013, 385, 356, 15, 14, 0], [1, 0, 101, 46, 1122, 781, 3300, 2673, 3333, 2706, 1221, 880, 136, 81, 2, 1], [1, 0, 101, 46, 1123, 770, 3355, 2508, 3663, 2244, 1683, 550, 301, 26, 13, 0], [1, 0, 101, 47, 1111, 836, 3135, 3003, 2871, 3168, 891, 1045, 81, 92, 1, 1], [1, 0, 101, 47, 1112, 825, 3190, 2838, 3201, 2706, 1353, 715, 246, 37, 12, 0], [1, 0, 101, 48, 1100, 891, 2970, 3333, 2409, 3630, 561, 1210, 26, 103, 0, 1], [1, 0, 101, 48, 1101, 880, 3025, 3168, 2739, 3168, 1023, 880, 191, 48, 11, 0], [1, 0, 101, 49, 1090, 935, 2860, 3498, 2277, 3630, 693, 1045, 136, 59, 10, 0], [1, 0, 101, 50, 1079, 990, 2695, 3828, 1815, 4092, 363, 1210, 81, 70, 9, 0], [1, 0, 101, 51, 1068, 1045, 2530, 4158, 1353, 4554, 33, 1375, 26, 81, 8, 0], [1, 0, 102, 30, 1232, 341, 4455, 561, 6105, 66, 3036, 0, 422, 25, 7, 1], [1, 0, 102, 31, 1221, 396, 4290, 891, 5643, 528, 2706, 165, 367, 36, 6, 1], [1, 0, 102, 32, 1210, 451, 4125, 1221, 5181, 990, 2376, 330, 312, 47, 5, 1], [1, 0, 102, 33, 1199, 506, 3960, 1551, 4719, 1452, 2046, 495, 257, 58, 4, 1], [1, 0, 102, 33, 1200, 495, 4015, 1386, 5049, 990, 2508, 165, 422, 3, 15, 0], [1, 0, 102, 34, 1188, 561, 3795, 1881, 4257, 1914, 1716, 660, 202, 69, 3, 1], [1, 0, 102, 34, 1189, 550, 3850, 1716, 4587, 1452, 2178, 330, 367, 14, 14, 0], [1, 0, 102, 35, 1177, 616, 3630, 2211, 3795, 2376, 1386, 825, 147, 80, 2, 1], [1, 0, 102, 35, 1178, 605, 3685, 2046, 4125, 1914, 1848, 495, 312, 25, 13, 0], [1, 0, 102, 36, 1166, 671, 3465, 2541, 3333, 2838, 1056, 990, 92, 91, 1, 1], [1, 0, 102, 36, 1167, 660, 3520, 2376, 3663, 2376, 1518, 660, 257, 36, 12, 0], [1, 0, 102, 37, 1155, 726, 3300, 2871, 2871, 3300, 726, 1155, 37, 102, 0, 1], [1, 0, 102, 37, 1156, 715, 3355, 2706, 3201, 2838, 1188, 825, 202, 47, 11, 0], [1, 0, 102, 38, 1145, 770, 3190, 3036, 2739, 3300, 858, 990, 147, 58, 10, 0], [1, 0, 102, 39, 1134, 825, 3025, 3366, 2277, 3762, 528, 1155, 92, 69, 9, 0], [1, 0, 102, 40, 1123, 880, 2860, 3696, 1815, 4224, 198, 1320, 37, 80, 8, 0], [1, 0, 103, 20, 1276, 231, 4620, 429, 6105, 198, 2871, 110, 378, 35, 6, 1], [1, 0, 103, 21, 1265, 286, 4455, 759, 5643, 660, 2541, 275, 323, 46, 5, 1], [1, 0, 103, 22, 1254, 341, 4290, 1089, 5181, 1122, 2211, 440, 268, 57, 4, 1], [1, 0, 103, 22, 1255, 330, 4345, 924, 5511, 660, 2673, 110, 433, 2, 15, 0], [1, 0, 103, 23, 1243, 396, 4125, 1419, 4719, 1584, 1881, 605, 213, 68, 3, 1], [1, 0, 103, 23, 1244, 385, 4180, 1254, 5049, 1122, 2343, 275, 378, 13, 14, 0], [1, 0, 103, 24, 1232, 451, 3960, 1749, 4257, 2046, 1551, 770, 158, 79, 2, 1], [1, 0, 103, 24, 1233, 440, 4015, 1584, 4587, 1584, 2013, 440, 323, 24, 13, 0], [1, 0, 103, 25, 1221, 506, 3795, 2079, 3795, 2508, 1221, 935, 103, 90, 1, 1], [1, 0, 103, 25, 1222, 495, 3850, 1914, 4125, 2046, 1683, 605, 268, 35, 12, 0], [1, 0, 103, 26, 1210, 561, 3630, 2409, 3333, 2970, 891, 1100, 48, 101, 0, 1], [1, 0, 103, 26, 1211, 550, 3685, 2244, 3663, 2508, 1353, 770, 213, 46, 11, 0], [1, 0, 103, 27, 1200, 605, 3520, 2574, 3201, 2970, 1023, 935, 158, 57, 10, 0], [1, 0, 103, 28, 1189, 660, 3355, 2904, 2739, 3432, 693, 1100, 103, 68, 9, 0], [1, 0, 103, 29, 1178, 715, 3190, 3234, 2277, 3894, 363, 1265, 48, 79, 8, 0], [1, 0, 104, 10, 1320, 121, 4785, 297, 6105, 330, 2706, 220, 334, 45, 5, 1], [1, 0, 104, 11, 1309, 176, 4620, 627, 5643, 792, 2376, 385, 279, 56, 4, 1], [1, 0, 104, 11, 1310, 165, 4675, 462, 5973, 330, 2838, 55, 444, 1, 15, 0], [1, 0, 104, 12, 1298, 231, 4455, 957, 5181, 1254, 2046, 550, 224, 67, 3, 1], [1, 0, 104, 12, 1299, 220, 4510, 792, 5511, 792, 2508, 220, 389, 12, 14, 0], [1, 0, 104, 13, 1287, 286, 4290, 1287, 4719, 1716, 1716, 715, 169, 78, 2, 1], [1, 0, 104, 13, 1288, 275, 4345, 1122, 5049, 1254, 2178, 385, 334, 23, 13, 0], [1, 0, 104, 14, 1276, 341, 4125, 1617, 4257, 2178, 1386, 880, 114, 89, 1, 1], [1, 0, 104, 14, 1277, 330, 4180, 1452, 4587, 1716, 1848, 550, 279, 34, 12, 0], [1, 0, 104, 15, 1265, 396, 3960, 1947, 3795, 2640, 1056, 1045, 59, 100, 0, 1], [1, 0, 104, 15, 1266, 385, 4015, 1782, 4125, 2178, 1518, 715, 224, 45, 11, 0], [1, 0, 104, 16, 1255, 440, 3850, 2112, 3663, 2640, 1188, 880, 169, 56, 10, 0], [1, 0, 104, 17, 1244, 495, 3685, 2442, 3201, 3102, 858, 1045, 114, 67, 9, 0], [1, 0, 104, 18, 1233, 550, 3520, 2772, 2739, 3564, 528, 1210, 59, 78, 8, 0], [1, 0, 104, 19, 1222, 605, 3355, 3102, 2277, 4026, 198, 1375, 4, 89, 7, 0], [1, 0, 105, 0, 1364, 11, 4950, 165, 6105, 462, 2541, 330, 290, 55, 4, 1], [1, 0, 105, 0, 1365, 0, 5005, 0, 6435, 0, 3003, 0, 455, 0, 15, 0], [1, 0, 105, 1, 1353, 66, 4785, 495, 5643, 924, 2211, 495, 235, 66, 3, 1], [1, 0, 105, 1, 1354, 55, 4840, 330, 5973, 462, 2673, 165, 400, 11, 14, 0], [1, 0, 105, 2, 1342, 121, 4620, 825, 5181, 1386, 1881, 660, 180, 77, 2, 1], [1, 0, 105, 2, 1343, 110, 4675, 660, 5511, 924, 2343, 330, 345, 22, 13, 0], [1, 0, 105, 3, 1331, 176, 4455, 1155, 4719, 1848, 1551, 825, 125, 88, 1, 1], [1, 0, 105, 3, 1332, 165, 4510, 990, 5049, 1386, 2013, 495, 290, 33, 12, 0], [1, 0, 105, 4, 1320, 231, 4290, 1485, 4257, 2310, 1221, 990, 70, 99, 0, 1], [1, 0, 105, 4, 1321, 220, 4345, 1320, 4587, 1848, 1683, 660, 235, 44, 11, 0], [1, 0, 105, 5, 1310, 275, 4180, 1650, 4125, 2310, 1353, 825, 180, 55, 10, 0], [1, 0, 105, 6, 1299, 330, 4015, 1980, 3663, 2772, 1023, 990, 125, 66, 9, 0], [1, 0, 105, 7, 1288, 385, 3850, 2310, 3201, 3234, 693, 1155, 70, 77, 8, 0], [1, 0, 105, 8, 1277, 440, 3685, 2640, 2739, 3696, 363, 1320, 15, 88, 7, 0], [1, 1, 76, 243, 318, 2772, 143, 5808, 1749, 2409, 2354, 11, 476, 18, 3, 2], [1, 1, 77, 233, 362, 2662, 308, 5676, 1749, 2541, 2189, 121, 432, 28, 2, 2], [1, 1, 77, 234, 351, 2717, 143, 6006, 1287, 3003, 1859, 286, 377, 39, 1, 2], [1, 1, 78, 222, 417, 2497, 638, 5214, 2211, 2211, 2354, 66, 443, 27, 2, 2], [1, 1, 78, 223, 406, 2552, 473, 5544, 1749, 2673, 2024, 231, 388, 38, 1, 2], [1, 1, 78, 224, 395, 2607, 308, 5874, 1287, 3135, 1694, 396, 333, 49, 0, 2], [1, 1, 78, 225, 385, 2651, 198, 6039, 1155, 3135, 1826, 231, 443, 5, 10, 1], [1, 1, 78, 226, 374, 2706, 33, 6369, 693, 3597, 1496, 396, 388, 16, 9, 1], [1, 1, 79, 211, 472, 2332, 968, 4752, 2673, 1881, 2519, 11, 454, 26, 2, 2], [1, 1, 79, 212, 461, 2387, 803, 5082, 2211, 2343, 2189, 176, 399, 37, 1, 2], [1, 1, 79, 213, 450, 2442, 638, 5412, 1749, 2805, 1859, 341, 344, 48, 0, 2], [1, 1, 79, 214, 440, 2486, 528, 5577, 1617, 2805, 1991, 176, 454, 4, 10, 1], [1, 1, 79, 215, 429, 2541, 363, 5907, 1155, 3267, 1661, 341, 399, 15, 9, 1], [1, 1, 79, 216, 418, 2596, 198, 6237, 693, 3729, 1331, 506, 344, 26, 8, 1], [1, 1, 79, 217, 407, 2651, 33, 6567, 231, 4191, 1001, 671, 289, 37, 7, 1], [1, 1, 80, 201, 516, 2222, 1133, 4620, 2673, 2013, 2354, 121, 410, 36, 1, 2], [1, 1, 80, 202, 505, 2277, 968, 4950, 2211, 2475, 2024, 286, 355, 47, 0, 2], [1, 1, 80, 203, 495, 2321, 858, 5115, 2079, 2475, 2156, 121, 465, 3, 10, 1], [1, 1, 80, 204, 484, 2376, 693, 5445, 1617, 2937, 1826, 286, 410, 14, 9, 1], [1, 1, 80, 205, 473, 2431, 528, 5775, 1155, 3399, 1496, 451, 355, 25, 8, 1], [1, 1, 80, 206, 462, 2486, 363, 6105, 693, 3861, 1166, 616, 300, 36, 7, 1], [1, 1, 80, 207, 451, 2541, 198, 6435, 231, 4323, 836, 781, 245, 47, 6, 1], [1, 1, 80, 208, 441, 2585, 88, 6600, 99, 4323, 968, 616, 355, 3, 16, 0], [1, 1, 81, 190, 571, 2057, 1463, 4158, 3135, 1683, 2519, 66, 421, 35, 1, 2], [1, 1, 81, 191, 560, 2112, 1298, 4488, 2673, 2145, 2189, 231, 366, 46, 0, 2], [1, 1, 81, 192, 550, 2156, 1188, 4653, 2541, 2145, 2321, 66, 476, 2, 10, 1], [1, 1, 81, 193, 539, 2211, 1023, 4983, 2079, 2607, 1991, 231, 421, 13, 9, 1], [1, 1, 81, 194, 528, 2266, 858, 5313, 1617, 3069, 1661, 396, 366, 24, 8, 1], [1, 1, 81, 195, 517, 2321, 693, 5643, 1155, 3531, 1331, 561, 311, 35, 7, 1], [1, 1, 81, 196, 506, 2376, 528, 5973, 693, 3993, 1001, 726, 256, 46, 6, 1], [1, 1, 81, 197, 495, 2431, 363, 6303, 231, 4455, 671, 891, 201, 57, 5, 1], [1, 1, 81, 197, 496, 2420, 418, 6138, 561, 3993, 1133, 561, 366, 2, 16, 0], [1, 1, 81, 198, 485, 2475, 253, 6468, 99, 4455, 803, 726, 311, 13, 15, 0], [1, 1, 82, 179, 626, 1892, 1793, 3696, 3597, 1353, 2684, 11, 432, 34, 1, 2], [1, 1, 82, 180, 615, 1947, 1628, 4026, 3135, 1815, 2354, 176, 377, 45, 0, 2], [1, 1, 82, 181, 605, 1991, 1518, 4191, 3003, 1815, 2486, 11, 487, 1, 10, 1], [1, 1, 82, 182, 594, 2046, 1353, 4521, 2541, 2277, 2156, 176, 432, 12, 9, 1], [1, 1, 82, 183, 583, 2101, 1188, 4851, 2079, 2739, 1826, 341, 377, 23, 8, 1], [1, 1, 82, 184, 572, 2156, 1023, 5181, 1617, 3201, 1496, 506, 322, 34, 7, 1], [1, 1, 82, 185, 561, 2211, 858, 5511, 1155, 3663, 1166, 671, 267, 45, 6, 1], [1, 1, 82, 186, 550, 2266, 693, 5841, 693, 4125, 836, 836, 212, 56, 5, 1], [1, 1, 82, 186, 551, 2255, 748, 5676, 1023, 3663, 1298, 506, 377, 1, 16, 0], [1, 1, 82, 187, 539, 2321, 528, 6171, 231, 4587, 506, 1001, 157, 67, 4, 1], [1, 1, 82, 187, 540, 2310, 583, 6006, 561, 4125, 968, 671, 322, 12, 15, 0], [1, 1, 82, 188, 529, 2365, 418, 6336, 99, 4587, 638, 836, 267, 23, 14, 0], [1, 1, 83, 169, 670, 1782, 1958, 3564, 3597, 1485, 2519, 121, 388, 44, 0, 2], [1, 1, 83, 171, 649, 1881, 1683, 4059, 3003, 1947, 2321, 121, 443, 11, 9, 1], [1, 1, 83, 172, 638, 1936, 1518, 4389, 2541, 2409, 1991, 286, 388, 22, 8, 1], [1, 1, 83, 173, 627, 1991, 1353, 4719, 2079, 2871, 1661, 451, 333, 33, 7, 1], [1, 1, 83, 174, 616, 2046, 1188, 5049, 1617, 3333, 1331, 616, 278, 44, 6, 1], [1, 1, 83, 175, 605, 2101, 1023, 5379, 1155, 3795, 1001, 781, 223, 55, 5, 1], [1, 1, 83, 175, 606, 2090, 1078, 5214, 1485, 3333, 1463, 451, 388, 0, 16, 0], [1, 1, 83, 176, 594, 2156, 858, 5709, 693, 4257, 671, 946, 168, 66, 4, 1], [1, 1, 83, 176, 595, 2145, 913, 5544, 1023, 3795, 1133, 616, 333, 11, 15, 0], [1, 1, 83, 177, 583, 2211, 693, 6039, 231, 4719, 341, 1111, 113, 77, 3, 1], [1, 1, 83, 177, 584, 2200, 748, 5874, 561, 4257, 803, 781, 278, 22, 14, 0], [1, 1, 83, 178, 573, 2255, 583, 6204, 99, 4719, 473, 946, 223, 33, 13, 0], [1, 1, 84, 158, 725, 1617, 2288, 3102, 4059, 1155, 2684, 66, 399, 43, 0, 2], [1, 1, 84, 160, 704, 1716, 2013, 3597, 3465, 1617, 2486, 66, 454, 10, 9, 1], [1, 1, 84, 161, 693, 1771, 1848, 3927, 3003, 2079, 2156, 231, 399, 21, 8, 1], [1, 1, 84, 162, 682, 1826, 1683, 4257, 2541, 2541, 1826, 396, 344, 32, 7, 1], [1, 1, 84, 163, 671, 1881, 1518, 4587, 2079, 3003, 1496, 561, 289, 43, 6, 1], [1, 1, 84, 164, 660, 1936, 1353, 4917, 1617, 3465, 1166, 726, 234, 54, 5, 1], [1, 1, 84, 165, 649, 1991, 1188, 5247, 1155, 3927, 836, 891, 179, 65, 4, 1], [1, 1, 84, 165, 650, 1980, 1243, 5082, 1485, 3465, 1298, 561, 344, 10, 15, 0], [1, 1, 84, 166, 638, 2046, 1023, 5577, 693, 4389, 506, 1056, 124, 76, 3, 1], [1, 1, 84, 166, 639, 2035, 1078, 5412, 1023, 3927, 968, 726, 289, 21, 14, 0], [1, 1, 84, 167, 627, 2101, 858, 5907, 231, 4851, 176, 1221, 69, 87, 2, 1], [1, 1, 84, 167, 628, 2090, 913, 5742, 561, 4389, 638, 891, 234, 32, 13, 0], [1, 1, 84, 168, 617, 2145, 748, 6072, 99, 4851, 308, 1056, 179, 43, 12, 0], [1, 1, 85, 147, 780, 1452, 2618, 2640, 4521, 825, 2849, 11, 410, 42, 0, 2], [1, 1, 85, 149, 759, 1551, 2343, 3135, 3927, 1287, 2651, 11, 465, 9, 9, 1], [1, 1, 85, 150, 748, 1606, 2178, 3465, 3465, 1749, 2321, 176, 410, 20, 8, 1], [1, 1, 85, 151, 737, 1661, 2013, 3795, 3003, 2211, 1991, 341, 355, 31, 7, 1], [1, 1, 85, 152, 726, 1716, 1848, 4125, 2541, 2673, 1661, 506, 300, 42, 6, 1], [1, 1, 85, 153, 715, 1771, 1683, 4455, 2079, 3135, 1331, 671, 245, 53, 5, 1], [1, 1, 85, 154, 704, 1826, 1518, 4785, 1617, 3597, 1001, 836, 190, 64, 4, 1], [1, 1, 85, 154, 705, 1815, 1573, 4620, 1947, 3135, 1463, 506, 355, 9, 15, 0], [1, 1, 85, 155, 693, 1881, 1353, 5115, 1155, 4059, 671, 1001, 135, 75, 3, 1], [1, 1, 85, 155, 694, 1870, 1408, 4950, 1485, 3597, 1133, 671, 300, 20, 14, 0], [1, 1, 85, 156, 682, 1936, 1188, 5445, 693, 4521, 341, 1166, 80, 86, 2, 1], [1, 1, 85, 156, 683, 1925, 1243, 5280, 1023, 4059, 803, 836, 245, 31, 13, 0], [1, 1, 85, 157, 671, 1991, 1023, 5775, 231, 4983, 11, 1331, 25, 97, 1, 1], [1, 1, 85, 157, 672, 1980, 1078, 5610, 561, 4521, 473, 1001, 190, 42, 12, 0], [1, 1, 85, 158, 661, 2035, 913, 5940, 99, 4983, 143, 1166, 135, 53, 11, 0], [1, 1, 86, 139, 803, 1441, 2508, 3003, 3927, 1419, 2486, 121, 421, 19, 8, 1], [1, 1, 86, 140, 792, 1496, 2343, 3333, 3465, 1881, 2156, 286, 366, 30, 7, 1], [1, 1, 86, 141, 781, 1551, 2178, 3663, 3003, 2343, 1826, 451, 311, 41, 6, 1], [1, 1, 86, 142, 770, 1606, 2013, 3993, 2541, 2805, 1496, 616, 256, 52, 5, 1], [1, 1, 86, 143, 759, 1661, 1848, 4323, 2079, 3267, 1166, 781, 201, 63, 4, 1], [1, 1, 86, 143, 760, 1650, 1903, 4158, 2409, 2805, 1628, 451, 366, 8, 15, 0], [1, 1, 86, 144, 748, 1716, 1683, 4653, 1617, 3729, 836, 946, 146, 74, 3, 1], [1, 1, 86, 144, 749, 1705, 1738, 4488, 1947, 3267, 1298, 616, 311, 19, 14, 0], [1, 1, 86, 145, 737, 1771, 1518, 4983, 1155, 4191, 506, 1111, 91, 85, 2, 1], [1, 1, 86, 145, 738, 1760, 1573, 4818, 1485, 3729, 968, 781, 256, 30, 13, 0], [1, 1, 86, 146, 726, 1826, 1353, 5313, 693, 4653, 176, 1276, 36, 96, 1, 1], [1, 1, 86, 146, 727, 1815, 1408, 5148, 1023, 4191, 638, 946, 201, 41, 12, 0], [1, 1, 86, 147, 716, 1870, 1243, 5478, 561, 4653, 308, 1111, 146, 52, 11, 0], [1, 1, 87, 128, 858, 1276, 2838, 2541, 4389, 1089, 2651, 66, 432, 18, 8, 1], [1, 1, 87, 129, 847, 1331, 2673, 2871, 3927, 1551, 2321, 231, 377, 29, 7, 1], [1, 1, 87, 130, 836, 1386, 2508, 3201, 3465, 2013, 1991, 396, 322, 40, 6, 1], [1, 1, 87, 131, 825, 1441, 2343, 3531, 3003, 2475, 1661, 561, 267, 51, 5, 1], [1, 1, 87, 132, 814, 1496, 2178, 3861, 2541, 2937, 1331, 726, 212, 62, 4, 1], [1, 1, 87, 132, 815, 1485, 2233, 3696, 2871, 2475, 1793, 396, 377, 7, 15, 0], [1, 1, 87, 133, 803, 1551, 2013, 4191, 2079, 3399, 1001, 891, 157, 73, 3, 1], [1, 1, 87, 133, 804, 1540, 2068, 4026, 2409, 2937, 1463, 561, 322, 18, 14, 0], [1, 1, 87, 134, 792, 1606, 1848, 4521, 1617, 3861, 671, 1056, 102, 84, 2, 1], [1, 1, 87, 134, 793, 1595, 1903, 4356, 1947, 3399, 1133, 726, 267, 29, 13, 0], [1, 1, 87, 135, 781, 1661, 1683, 4851, 1155, 4323, 341, 1221, 47, 95, 1, 1], [1, 1, 87, 135, 782, 1650, 1738, 4686, 1485, 3861, 803, 891, 212, 40, 12, 0], [1, 1, 87, 136, 771, 1705, 1573, 5016, 1023, 4323, 473, 1056, 157, 51, 11, 0], [1, 1, 87, 137, 760, 1760, 1408, 5346, 561, 4785, 143, 1221, 102, 62, 10, 0], [1, 1, 88, 117, 913, 1111, 3168, 2079, 4851, 759, 2816, 11, 443, 17, 8, 1], [1, 1, 88, 118, 902, 1166, 3003, 2409, 4389, 1221, 2486, 176, 388, 28, 7, 1], [1, 1, 88, 119, 891, 1221, 2838, 2739, 3927, 1683, 2156, 341, 333, 39, 6, 1], [1, 1, 88, 120, 880, 1276, 2673, 3069, 3465, 2145, 1826, 506, 278, 50, 5, 1], [1, 1, 88, 121, 869, 1331, 2508, 3399, 3003, 2607, 1496, 671, 223, 61, 4, 1], [1, 1, 88, 121, 870, 1320, 2563, 3234, 3333, 2145, 1958, 341, 388, 6, 15, 0], [1, 1, 88, 122, 858, 1386, 2343, 3729, 2541, 3069, 1166, 836, 168, 72, 3, 1], [1, 1, 88, 122, 859, 1375, 2398, 3564, 2871, 2607, 1628, 506, 333, 17, 14, 0], [1, 1, 88, 123, 847, 1441, 2178, 4059, 2079, 3531, 836, 1001, 113, 83, 2, 1], [1, 1, 88, 123, 848, 1430, 2233, 3894, 2409, 3069, 1298, 671, 278, 28, 13, 0], [1, 1, 88, 124, 836, 1496, 2013, 4389, 1617, 3993, 506, 1166, 58, 94, 1, 1], [1, 1, 88, 124, 837, 1485, 2068, 4224, 1947, 3531, 968, 836, 223, 39, 12, 0], [1, 1, 88, 125, 825, 1551, 1848, 4719, 1155, 4455, 176, 1331, 3, 105, 0, 1], [1, 1, 88, 125, 826, 1540, 1903, 4554, 1485, 3993, 638, 1001, 168, 50, 11, 0], [1, 1, 88, 126, 815, 1595, 1738, 4884, 1023, 4455, 308, 1166, 113, 61, 10, 0], [1, 1, 89, 107, 957, 1001, 3333, 1947, 4851, 891, 2651, 121, 399, 27, 7, 1], [1, 1, 89, 108, 946, 1056, 3168, 2277, 4389, 1353, 2321, 286, 344, 38, 6, 1], [1, 1, 89, 109, 935, 1111, 3003, 2607, 3927, 1815, 1991, 451, 289, 49, 5, 1], [1, 1, 89, 110, 924, 1166, 2838, 2937, 3465, 2277, 1661, 616, 234, 60, 4, 1], [1, 1, 89, 110, 925, 1155, 2893, 2772, 3795, 1815, 2123, 286, 399, 5, 15, 0], [1, 1, 89, 111, 913, 1221, 2673, 3267, 3003, 2739, 1331, 781, 179, 71, 3, 1], [1, 1, 89, 111, 914, 1210, 2728, 3102, 3333, 2277, 1793, 451, 344, 16, 14, 0], [1, 1, 89, 112, 902, 1276, 2508, 3597, 2541, 3201, 1001, 946, 124, 82, 2, 1], [1, 1, 89, 112, 903, 1265, 2563, 3432, 2871, 2739, 1463, 616, 289, 27, 13, 0], [1, 1, 89, 113, 891, 1331, 2343, 3927, 2079, 3663, 671, 1111, 69, 93, 1, 1], [1, 1, 89, 113, 892, 1320, 2398, 3762, 2409, 3201, 1133, 781, 234, 38, 12, 0], [1, 1, 89, 114, 880, 1386, 2178, 4257, 1617, 4125, 341, 1276, 14, 104, 0, 1], [1, 1, 89, 114, 881, 1375, 2233, 4092, 1947, 3663, 803, 946, 179, 49, 11, 0], [1, 1, 89, 115, 870, 1430, 2068, 4422, 1485, 4125, 473, 1111, 124, 60, 10, 0], [1, 1, 89, 116, 859, 1485, 1903, 4752, 1023, 4587, 143, 1276, 69, 71, 9, 0], [1, 1, 90, 96, 1012, 836, 3663, 1485, 5313, 561, 2816, 66, 410, 26, 7, 1], [1, 1, 90, 97, 1001, 891, 3498, 1815, 4851, 1023, 2486, 231, 355, 37, 6, 1], [1, 1, 90, 98, 990, 946, 3333, 2145, 4389, 1485, 2156, 396, 300, 48, 5, 1], [1, 1, 90, 99, 979, 1001, 3168, 2475, 3927, 1947, 1826, 561, 245, 59, 4, 1], [1, 1, 90, 99, 980, 990, 3223, 2310, 4257, 1485, 2288, 231, 410, 4, 15, 0], [1, 1, 90, 100, 968, 1056, 3003, 2805, 3465, 2409, 1496, 726, 190, 70, 3, 1], [1, 1, 90, 100, 969, 1045, 3058, 2640, 3795, 1947, 1958, 396, 355, 15, 14, 0], [1, 1, 90, 101, 957, 1111, 2838, 3135, 3003, 2871, 1166, 891, 135, 81, 2, 1], [1, 1, 90, 101, 958, 1100, 2893, 2970, 3333, 2409, 1628, 561, 300, 26, 13, 0], [1, 1, 90, 102, 946, 1166, 2673, 3465, 2541, 3333, 836, 1056, 80, 92, 1, 1], [1, 1, 90, 102, 947, 1155, 2728, 3300, 2871, 2871, 1298, 726, 245, 37, 12, 0], [1, 1, 90, 103, 935, 1221, 2508, 3795, 2079, 3795, 506, 1221, 25, 103, 0, 1], [1, 1, 90, 103, 936, 1210, 2563, 3630, 2409, 3333, 968, 891, 190, 48, 11, 0], [1, 1, 90, 104, 925, 1265, 2398, 3960, 1947, 3795, 638, 1056, 135, 59, 10, 0], [1, 1, 90, 105, 914, 1320, 2233, 4290, 1485, 4257, 308, 1221, 80, 70, 9, 0], [1, 1, 91, 85, 1067, 671, 3993, 1023, 5775, 231, 2981, 11, 421, 25, 7, 1], [1, 1, 91, 86, 1056, 726, 3828, 1353, 5313, 693, 2651, 176, 366, 36, 6, 1], [1, 1, 91, 87, 1045, 781, 3663, 1683, 4851, 1155, 2321, 341, 311, 47, 5, 1], [1, 1, 91, 88, 1034, 836, 3498, 2013, 4389, 1617, 1991, 506, 256, 58, 4, 1], [1, 1, 91, 88, 1035, 825, 3553, 1848, 4719, 1155, 2453, 176, 421, 3, 15, 0], [1, 1, 91, 89, 1023, 891, 3333, 2343, 3927, 2079, 1661, 671, 201, 69, 3, 1], [1, 1, 91, 89, 1024, 880, 3388, 2178, 4257, 1617, 2123, 341, 366, 14, 14, 0], [1, 1, 91, 90, 1012, 946, 3168, 2673, 3465, 2541, 1331, 836, 146, 80, 2, 1], [1, 1, 91, 90, 1013, 935, 3223, 2508, 3795, 2079, 1793, 506, 311, 25, 13, 0], [1, 1, 91, 91, 1001, 1001, 3003, 3003, 3003, 3003, 1001, 1001, 91, 91, 1, 1], [1, 1, 91, 91, 1002, 990, 3058, 2838, 3333, 2541, 1463, 671, 256, 36, 12, 0], [1, 1, 91, 92, 990, 1056, 2838, 3333, 2541, 3465, 671, 1166, 36, 102, 0, 1], [1, 1, 91, 92, 991, 1045, 2893, 3168, 2871, 3003, 1133, 836, 201, 47, 11, 0], [1, 1, 91, 93, 980, 1100, 2728, 3498, 2409, 3465, 803, 1001, 146, 58, 10, 0], [1, 1, 91, 94, 969, 1155, 2563, 3828, 1947, 3927, 473, 1166, 91, 69, 9, 0], [1, 1, 91, 95, 958, 1210, 2398, 4158, 1485, 4389, 143, 1331, 36, 80, 8, 0], [1, 1, 92, 75, 1111, 561, 4158, 891, 5775, 363, 2816, 121, 377, 35, 6, 1], [1, 1, 92, 76, 1100, 616, 3993, 1221, 5313, 825, 2486, 286, 322, 46, 5, 1], [1, 1, 92, 77, 1089, 671, 3828, 1551, 4851, 1287, 2156, 451, 267, 57, 4, 1], [1, 1, 92, 77, 1090, 660, 3883, 1386, 5181, 825, 2618, 121, 432, 2, 15, 0], [1, 1, 92, 78, 1078, 726, 3663, 1881, 4389, 1749, 1826, 616, 212, 68, 3, 1], [1, 1, 92, 78, 1079, 715, 3718, 1716, 4719, 1287, 2288, 286, 377, 13, 14, 0], [1, 1, 92, 79, 1067, 781, 3498, 2211, 3927, 2211, 1496, 781, 157, 79, 2, 1], [1, 1, 92, 79, 1068, 770, 3553, 2046, 4257, 1749, 1958, 451, 322, 24, 13, 0], [1, 1, 92, 80, 1056, 836, 3333, 2541, 3465, 2673, 1166, 946, 102, 90, 1, 1], [1, 1, 92, 80, 1057, 825, 3388, 2376, 3795, 2211, 1628, 616, 267, 35, 12, 0], [1, 1, 92, 81, 1045, 891, 3168, 2871, 3003, 3135, 836, 1111, 47, 101, 0, 1], [1, 1, 92, 81, 1046, 880, 3223, 2706, 3333, 2673, 1298, 781, 212, 46, 11, 0], [1, 1, 92, 82, 1035, 935, 3058, 3036, 2871, 3135, 968, 946, 157, 57, 10, 0], [1, 1, 92, 83, 1024, 990, 2893, 3366, 2409, 3597, 638, 1111, 102, 68, 9, 0], [1, 1, 92, 84, 1013, 1045, 2728, 3696, 1947, 4059, 308, 1276, 47, 79, 8, 0], [1, 1, 93, 64, 1166, 396, 4488, 429, 6237, 33, 2981, 66, 388, 34, 6, 1], [1, 1, 93, 65, 1155, 451, 4323, 759, 5775, 495, 2651, 231, 333, 45, 5, 1], [1, 1, 93, 66, 1144, 506, 4158, 1089, 5313, 957, 2321, 396, 278, 56, 4, 1], [1, 1, 93, 66, 1145, 495, 4213, 924, 5643, 495, 2783, 66, 443, 1, 15, 0], [1, 1, 93, 67, 1133, 561, 3993, 1419, 4851, 1419, 1991, 561, 223, 67, 3, 1], [1, 1, 93, 67, 1134, 550, 4048, 1254, 5181, 957, 2453, 231, 388, 12, 14, 0], [1, 1, 93, 68, 1122, 616, 3828, 1749, 4389, 1881, 1661, 726, 168, 78, 2, 1], [1, 1, 93, 68, 1123, 605, 3883, 1584, 4719, 1419, 2123, 396, 333, 23, 13, 0], [1, 1, 93, 69, 1111, 671, 3663, 2079, 3927, 2343, 1331, 891, 113, 89, 1, 1], [1, 1, 93, 69, 1112, 660, 3718, 1914, 4257, 1881, 1793, 561, 278, 34, 12, 0], [1, 1, 93, 70, 1100, 726, 3498, 2409, 3465, 2805, 1001, 1056, 58, 100, 0, 1], [1, 1, 93, 70, 1101, 715, 3553, 2244, 3795, 2343, 1463, 726, 223, 45, 11, 0], [1, 1, 93, 71, 1090, 770, 3388, 2574, 3333, 2805, 1133, 891, 168, 56, 10, 0], [1, 1, 93, 72, 1079, 825, 3223, 2904, 2871, 3267, 803, 1056, 113, 67, 9, 0], [1, 1, 93, 73, 1068, 880, 3058, 3234, 2409, 3729, 473, 1221, 58, 78, 8, 0], [1, 1, 93, 74, 1057, 935, 2893, 3564, 1947, 4191, 143, 1386, 3, 89, 7, 0], [1, 1, 94, 54, 1210, 286, 4653, 297, 6237, 165, 2816, 176, 344, 44, 5, 1], [1, 1, 94, 55, 1199, 341, 4488, 627, 5775, 627, 2486, 341, 289, 55, 4, 1], [1, 1, 94, 55, 1200, 330, 4543, 462, 6105, 165, 2948, 11, 454, 0, 15, 0], [1, 1, 94, 56, 1188, 396, 4323, 957, 5313, 1089, 2156, 506, 234, 66, 3, 1], [1, 1, 94, 56, 1189, 385, 4378, 792, 5643, 627, 2618, 176, 399, 11, 14, 0], [1, 1, 94, 57, 1177, 451, 4158, 1287, 4851, 1551, 1826, 671, 179, 77, 2, 1], [1, 1, 94, 57, 1178, 440, 4213, 1122, 5181, 1089, 2288, 341, 344, 22, 13, 0], [1, 1, 94, 58, 1166, 506, 3993, 1617, 4389, 2013, 1496, 836, 124, 88, 1, 1], [1, 1, 94, 58, 1167, 495, 4048, 1452, 4719, 1551, 1958, 506, 289, 33, 12, 0], [1, 1, 94, 59, 1155, 561, 3828, 1947, 3927, 2475, 1166, 1001, 69, 99, 0, 1], [1, 1, 94, 59, 1156, 550, 3883, 1782, 4257, 2013, 1628, 671, 234, 44, 11, 0], [1, 1, 94, 60, 1145, 605, 3718, 2112, 3795, 2475, 1298, 836, 179, 55, 10, 0], [1, 1, 94, 61, 1134, 660, 3553, 2442, 3333, 2937, 968, 1001, 124, 66, 9, 0], [1, 1, 94, 62, 1123, 715, 3388, 2772, 2871, 3399, 638, 1166, 69, 77, 8, 0], [1, 1, 94, 63, 1112, 770, 3223, 3102, 2409, 3861, 308, 1331, 14, 88, 7, 0], [1, 1, 95, 44, 1254, 176, 4818, 165, 6237, 297, 2651, 286, 300, 54, 4, 1], [1, 1, 95, 45, 1243, 231, 4653, 495, 5775, 759, 2321, 451, 245, 65, 3, 1], [1, 1, 95, 45, 1244, 220, 4708, 330, 6105, 297, 2783, 121, 410, 10, 14, 0], [1, 1, 95, 46, 1232, 286, 4488, 825, 5313, 1221, 1991, 616, 190, 76, 2, 1], [1, 1, 95, 46, 1233, 275, 4543, 660, 5643, 759, 2453, 286, 355, 21, 13, 0], [1, 1, 95, 47, 1221, 341, 4323, 1155, 4851, 1683, 1661, 781, 135, 87, 1, 1], [1, 1, 95, 47, 1222, 330, 4378, 990, 5181, 1221, 2123, 451, 300, 32, 12, 0], [1, 1, 95, 48, 1210, 396, 4158, 1485, 4389, 2145, 1331, 946, 80, 98, 0, 1], [1, 1, 95, 48, 1211, 385, 4213, 1320, 4719, 1683, 1793, 616, 245, 43, 11, 0], [1, 1, 95, 49, 1200, 440, 4048, 1650, 4257, 2145, 1463, 781, 190, 54, 10, 0], [1, 1, 95, 50, 1189, 495, 3883, 1980, 3795, 2607, 1133, 946, 135, 65, 9, 0], [1, 1, 95, 51, 1178, 550, 3718, 2310, 3333, 3069, 803, 1111, 80, 76, 8, 0], [1, 1, 95, 52, 1167, 605, 3553, 2640, 2871, 3531, 473, 1276, 25, 87, 7, 0], [1, 1, 96, 34, 1298, 66, 4983, 33, 6237, 429, 2486, 396, 256, 64, 3, 1], [1, 1, 96, 35, 1287, 121, 4818, 363, 5775, 891, 2156, 561, 201, 75, 2, 1], [1, 1, 96, 35, 1288, 110, 4873, 198, 6105, 429, 2618, 231, 366, 20, 13, 0], [1, 1, 96, 36, 1276, 176, 4653, 693, 5313, 1353, 1826, 726, 146, 86, 1, 1], [1, 1, 96, 36, 1277, 165, 4708, 528, 5643, 891, 2288, 396, 311, 31, 12, 0], [1, 1, 96, 37, 1265, 231, 4488, 1023, 4851, 1815, 1496, 891, 91, 97, 0, 1], [1, 1, 96, 37, 1266, 220, 4543, 858, 5181, 1353, 1958, 561, 256, 42, 11, 0], [1, 1, 96, 38, 1255, 275, 4378, 1188, 4719, 1815, 1628, 726, 201, 53, 10, 0], [1, 1, 96, 39, 1244, 330, 4213, 1518, 4257, 2277, 1298, 891, 146, 64, 9, 0], [1, 1, 96, 40, 1233, 385, 4048, 1848, 3795, 2739, 968, 1056, 91, 75, 8, 0], [1, 1, 96, 41, 1222, 440, 3883, 2178, 3333, 3201, 638, 1221, 36, 86, 7, 0], [1, 1, 97, 25, 1331, 11, 4983, 231, 5775, 1023, 1991, 671, 157, 85, 1, 1], [1, 1, 97, 25, 1332, 0, 5038, 66, 6105, 561, 2453, 341, 322, 30, 12, 0], [1, 1, 97, 26, 1320, 66, 4818, 561, 5313, 1485, 1661, 836, 102, 96, 0, 1], [1, 1, 97, 26, 1321, 55, 4873, 396, 5643, 1023, 2123, 506, 267, 41, 11, 0], [1, 1, 97, 27, 1310, 110, 4708, 726, 5181, 1485, 1793, 671, 212, 52, 10, 0], [1, 1, 97, 28, 1299, 165, 4543, 1056, 4719, 1947, 1463, 836, 157, 63, 9, 0], [1, 1, 97, 29, 1288, 220, 4378, 1386, 4257, 2409, 1133, 1001, 102, 74, 8, 0], [1, 1, 97, 30, 1277, 275, 4213, 1716, 3795, 2871, 803, 1166, 47, 85, 7, 0], [1, 1, 98, 17, 1354, 0, 4873, 594, 5181, 1617, 1628, 781, 168, 62, 9, 0], [1, 1, 98, 18, 1343, 55, 4708, 924, 4719, 2079, 1298, 946, 113, 73, 8, 0], [1, 1, 98, 19, 1332, 110, 4543, 1254, 4257, 2541, 968, 1111, 58, 84, 7, 0], [1, 1, 98, 20, 1321, 165, 4378, 1584, 3795, 3003, 638, 1276, 3, 95, 6, 0], [1, 1, 99, 9, 1376, 0, 4708, 1122, 4257, 2673, 803, 1221, 14, 94, 6, 0], [1, 2, 67, 277, 252, 2827, 176, 5676, 1881, 2376, 2299, 77, 442, 27, 2, 2], [1, 2, 67, 278, 241, 2882, 11, 6006, 1419, 2838, 1969, 242, 387, 38, 1, 2], [1, 2, 68, 266, 307, 2662, 506, 5214, 2343, 2046, 2464, 22, 453, 26, 2, 2], [1, 2, 68, 267, 296, 2717, 341, 5544, 1881, 2508, 2134, 187, 398, 37, 1, 2], [1, 2, 68, 268, 285, 2772, 176, 5874, 1419, 2970, 1804, 352, 343, 48, 0, 2], [1, 2, 68, 269, 275, 2816, 66, 6039, 1287, 2970, 1936, 187, 453, 4, 10, 1], [1, 2, 69, 256, 351, 2552, 671, 5082, 2343, 2178, 2299, 132, 409, 36, 1, 2], [1, 2, 69, 257, 340, 2607, 506, 5412, 1881, 2640, 1969, 297, 354, 47, 0, 2], [1, 2, 69, 258, 330, 2651, 396, 5577, 1749, 2640, 2101, 132, 464, 3, 10, 1], [1, 2, 69, 259, 319, 2706, 231, 5907, 1287, 3102, 1771, 297, 409, 14, 9, 1], [1, 2, 69, 260, 308, 2761, 66, 6237, 825, 3564, 1441, 462, 354, 25, 8, 1], [1, 2, 70, 245, 406, 2387, 1001, 4620, 2805, 1848, 2464, 77, 420, 35, 1, 2], [1, 2, 70, 246, 395, 2442, 836, 4950, 2343, 2310, 2134, 242, 365, 46, 0, 2], [1, 2, 70, 247, 385, 2486, 726, 5115, 2211, 2310, 2266, 77, 475, 2, 10, 1], [1, 2, 70, 248, 374, 2541, 561, 5445, 1749, 2772, 1936, 242, 420, 13, 9, 1], [1, 2, 70, 249, 363, 2596, 396, 5775, 1287, 3234, 1606, 407, 365, 24, 8, 1], [1, 2, 70, 250, 352, 2651, 231, 6105, 825, 3696, 1276, 572, 310, 35, 7, 1], [1, 2, 70, 251, 341, 2706, 66, 6435, 363, 4158, 946, 737, 255, 46, 6, 1], [1, 2, 71, 234, 461, 2222, 1331, 4158, 3267, 1518, 2629, 22, 431, 34, 1, 2], [1, 2, 71, 235, 450, 2277, 1166, 4488, 2805, 1980, 2299, 187, 376, 45, 0, 2], [1, 2, 71, 236, 440, 2321, 1056, 4653, 2673, 1980, 2431, 22, 486, 1, 10, 1], [1, 2, 71, 237, 429, 2376, 891, 4983, 2211, 2442, 2101, 187, 431, 12, 9, 1], [1, 2, 71, 238, 418, 2431, 726, 5313, 1749, 2904, 1771, 352, 376, 23, 8, 1], [1, 2, 71, 239, 407, 2486, 561, 5643, 1287, 3366, 1441, 517, 321, 34, 7, 1], [1, 2, 71, 240, 396, 2541, 396, 5973, 825, 3828, 1111, 682, 266, 45, 6, 1], [1, 2, 71, 241, 385, 2596, 231, 6303, 363, 4290, 781, 847, 211, 56, 5, 1], [1, 2, 71, 241, 386, 2585, 286, 6138, 693, 3828, 1243, 517, 376, 1, 16, 0], [1, 2, 71, 242, 375, 2640, 121, 6468, 231, 4290, 913, 682, 321, 12, 15, 0], [1, 2, 72, 224, 505, 2112, 1496, 4026, 3267, 1650, 2464, 132, 387, 44, 0, 2], [1, 2, 72, 226, 484, 2211, 1221, 4521, 2673, 2112, 2266, 132, 442, 11, 9, 1], [1, 2, 72, 227, 473, 2266, 1056, 4851, 2211, 2574, 1936, 297, 387, 22, 8, 1], [1, 2, 72, 228, 462, 2321, 891, 5181, 1749, 3036, 1606, 462, 332, 33, 7, 1], [1, 2, 72, 229, 451, 2376, 726, 5511, 1287, 3498, 1276, 627, 277, 44, 6, 1], [1, 2, 72, 230, 440, 2431, 561, 5841, 825, 3960, 946, 792, 222, 55, 5, 1], [1, 2, 72, 230, 441, 2420, 616, 5676, 1155, 3498, 1408, 462, 387, 0, 16, 0], [1, 2, 72, 231, 429, 2486, 396, 6171, 363, 4422, 616, 957, 167, 66, 4, 1], [1, 2, 72, 231, 430, 2475, 451, 6006, 693, 3960, 1078, 627, 332, 11, 15, 0], [1, 2, 72, 232, 419, 2530, 286, 6336, 231, 4422, 748, 792, 277, 22, 14, 0], [1, 2, 73, 213, 560, 1947, 1826, 3564, 3729, 1320, 2629, 77, 398, 43, 0, 2], [1, 2, 73, 215, 539, 2046, 1551, 4059, 3135, 1782, 2431, 77, 453, 10, 9, 1], [1, 2, 73, 216, 528, 2101, 1386, 4389, 2673, 2244, 2101, 242, 398, 21, 8, 1], [1, 2, 73, 217, 517, 2156, 1221, 4719, 2211, 2706, 1771, 407, 343, 32, 7, 1], [1, 2, 73, 218, 506, 2211, 1056, 5049, 1749, 3168, 1441, 572, 288, 43, 6, 1], [1, 2, 73, 219, 495, 2266, 891, 5379, 1287, 3630, 1111, 737, 233, 54, 5, 1], [1, 2, 73, 220, 484, 2321, 726, 5709, 825, 4092, 781, 902, 178, 65, 4, 1], [1, 2, 73, 220, 485, 2310, 781, 5544, 1155, 3630, 1243, 572, 343, 10, 15, 0], [1, 2, 73, 221, 473, 2376, 561, 6039, 363, 4554, 451, 1067, 123, 76, 3, 1], [1, 2, 73, 221, 474, 2365, 616, 5874, 693, 4092, 913, 737, 288, 21, 14, 0], [1, 2, 73, 222, 463, 2420, 451, 6204, 231, 4554, 583, 902, 233, 32, 13, 0], [1, 2, 74, 202, 615, 1782, 2156, 3102, 4191, 990, 2794, 22, 409, 42, 0, 2], [1, 2, 74, 204, 594, 1881, 1881, 3597, 3597, 1452, 2596, 22, 464, 9, 9, 1], [1, 2, 74, 205, 583, 1936, 1716, 3927, 3135, 1914, 2266, 187, 409, 20, 8, 1], [1, 2, 74, 206, 572, 1991, 1551, 4257, 2673, 2376, 1936, 352, 354, 31, 7, 1], [1, 2, 74, 207, 561, 2046, 1386, 4587, 2211, 2838, 1606, 517, 299, 42, 6, 1], [1, 2, 74, 208, 550, 2101, 1221, 4917, 1749, 3300, 1276, 682, 244, 53, 5, 1], [1, 2, 74, 209, 539, 2156, 1056, 5247, 1287, 3762, 946, 847, 189, 64, 4, 1], [1, 2, 74, 209, 540, 2145, 1111, 5082, 1617, 3300, 1408, 517, 354, 9, 15, 0], [1, 2, 74, 210, 528, 2211, 891, 5577, 825, 4224, 616, 1012, 134, 75, 3, 1], [1, 2, 74, 210, 529, 2200, 946, 5412, 1155, 3762, 1078, 682, 299, 20, 14, 0], [1, 2, 74, 211, 517, 2266, 726, 5907, 363, 4686, 286, 1177, 79, 86, 2, 1], [1, 2, 74, 211, 518, 2255, 781, 5742, 693, 4224, 748, 847, 244, 31, 13, 0], [1, 2, 74, 212, 507, 2310, 616, 6072, 231, 4686, 418, 1012, 189, 42, 12, 0], [1, 2, 75, 194, 638, 1771, 2046, 3465, 3597, 1584, 2431, 132, 420, 19, 8, 1], [1, 2, 75, 195, 627, 1826, 1881, 3795, 3135, 2046, 2101, 297, 365, 30, 7, 1], [1, 2, 75, 196, 616, 1881, 1716, 4125, 2673, 2508, 1771, 462, 310, 41, 6, 1], [1, 2, 75, 197, 605, 1936, 1551, 4455, 2211, 2970, 1441, 627, 255, 52, 5, 1], [1, 2, 75, 198, 594, 1991, 1386, 4785, 1749, 3432, 1111, 792, 200, 63, 4, 1], [1, 2, 75, 198, 595, 1980, 1441, 4620, 2079, 2970, 1573, 462, 365, 8, 15, 0], [1, 2, 75, 199, 583, 2046, 1221, 5115, 1287, 3894, 781, 957, 145, 74, 3, 1], [1, 2, 75, 199, 584, 2035, 1276, 4950, 1617, 3432, 1243, 627, 310, 19, 14, 0], [1, 2, 75, 200, 572, 2101, 1056, 5445, 825, 4356, 451, 1122, 90, 85, 2, 1], [1, 2, 75, 200, 573, 2090, 1111, 5280, 1155, 3894, 913, 792, 255, 30, 13, 0], [1, 2, 75, 201, 561, 2156, 891, 5775, 363, 4818, 121, 1287, 35, 96, 1, 1], [1, 2, 75, 201, 562, 2145, 946, 5610, 693, 4356, 583, 957, 200, 41, 12, 0], [1, 2, 75, 202, 551, 2200, 781, 5940, 231, 4818, 253, 1122, 145, 52, 11, 0], [1, 2, 76, 183, 693, 1606, 2376, 3003, 4059, 1254, 2596, 77, 431, 18, 8, 1], [1, 2, 76, 184, 682, 1661, 2211, 3333, 3597, 1716, 2266, 242, 376, 29, 7, 1], [1, 2, 76, 185, 671, 1716, 2046, 3663, 3135, 2178, 1936, 407, 321, 40, 6, 1], [1, 2, 76, 186, 660, 1771, 1881, 3993, 2673, 2640, 1606, 572, 266, 51, 5, 1], [1, 2, 76, 187, 649, 1826, 1716, 4323, 2211, 3102, 1276, 737, 211, 62, 4, 1], [1, 2, 76, 187, 650, 1815, 1771, 4158, 2541, 2640, 1738, 407, 376, 7, 15, 0], [1, 2, 76, 188, 638, 1881, 1551, 4653, 1749, 3564, 946, 902, 156, 73, 3, 1], [1, 2, 76, 188, 639, 1870, 1606, 4488, 2079, 3102, 1408, 572, 321, 18, 14, 0], [1, 2, 76, 189, 627, 1936, 1386, 4983, 1287, 4026, 616, 1067, 101, 84, 2, 1], [1, 2, 76, 189, 628, 1925, 1441, 4818, 1617, 3564, 1078, 737, 266, 29, 13, 0], [1, 2, 76, 190, 616, 1991, 1221, 5313, 825, 4488, 286, 1232, 46, 95, 1, 1], [1, 2, 76, 190, 617, 1980, 1276, 5148, 1155, 4026, 748, 902, 211, 40, 12, 0], [1, 2, 76, 191, 606, 2035, 1111, 5478, 693, 4488, 418, 1067, 156, 51, 11, 0], [1, 2, 76, 192, 595, 2090, 946, 5808, 231, 4950, 88, 1232, 101, 62, 10, 0], [1, 2, 77, 172, 748, 1441, 2706, 2541, 4521, 924, 2761, 22, 442, 17, 8, 1], [1, 2, 77, 173, 737, 1496, 2541, 2871, 4059, 1386, 2431, 187, 387, 28, 7, 1], [1, 2, 77, 174, 726, 1551, 2376, 3201, 3597, 1848, 2101, 352, 332, 39, 6, 1], [1, 2, 77, 175, 715, 1606, 2211, 3531, 3135, 2310, 1771, 517, 277, 50, 5, 1], [1, 2, 77, 176, 704, 1661, 2046, 3861, 2673, 2772, 1441, 682, 222, 61, 4, 1], [1, 2, 77, 176, 705, 1650, 2101, 3696, 3003, 2310, 1903, 352, 387, 6, 15, 0], [1, 2, 77, 177, 693, 1716, 1881, 4191, 2211, 3234, 1111, 847, 167, 72, 3, 1], [1, 2, 77, 177, 694, 1705, 1936, 4026, 2541, 2772, 1573, 517, 332, 17, 14, 0], [1, 2, 77, 178, 682, 1771, 1716, 4521, 1749, 3696, 781, 1012, 112, 83, 2, 1], [1, 2, 77, 178, 683, 1760, 1771, 4356, 2079, 3234, 1243, 682, 277, 28, 13, 0], [1, 2, 77, 179, 671, 1826, 1551, 4851, 1287, 4158, 451, 1177, 57, 94, 1, 1], [1, 2, 77, 179, 672, 1815, 1606, 4686, 1617, 3696, 913, 847, 222, 39, 12, 0], [1, 2, 77, 180, 660, 1881, 1386, 5181, 825, 4620, 121, 1342, 2, 105, 0, 1], [1, 2, 77, 180, 661, 1870, 1441, 5016, 1155, 4158, 583, 1012, 167, 50, 11, 0], [1, 2, 77, 181, 650, 1925, 1276, 5346, 693, 4620, 253, 1177, 112, 61, 10, 0], [1, 2, 78, 162, 792, 1331, 2871, 2409, 4521, 1056, 2596, 132, 398, 27, 7, 1], [1, 2, 78, 163, 781, 1386, 2706, 2739, 4059, 1518, 2266, 297, 343, 38, 6, 1], [1, 2, 78, 164, 770, 1441, 2541, 3069, 3597, 1980, 1936, 462, 288, 49, 5, 1], [1, 2, 78, 165, 759, 1496, 2376, 3399, 3135, 2442, 1606, 627, 233, 60, 4, 1], [1, 2, 78, 165, 760, 1485, 2431, 3234, 3465, 1980, 2068, 297, 398, 5, 15, 0], [1, 2, 78, 166, 748, 1551, 2211, 3729, 2673, 2904, 1276, 792, 178, 71, 3, 1], [1, 2, 78, 166, 749, 1540, 2266, 3564, 3003, 2442, 1738, 462, 343, 16, 14, 0], [1, 2, 78, 167, 737, 1606, 2046, 4059, 2211, 3366, 946, 957, 123, 82, 2, 1], [1, 2, 78, 167, 738, 1595, 2101, 3894, 2541, 2904, 1408, 627, 288, 27, 13, 0], [1, 2, 78, 168, 726, 1661, 1881, 4389, 1749, 3828, 616, 1122, 68, 93, 1, 1], [1, 2, 78, 168, 727, 1650, 1936, 4224, 2079, 3366, 1078, 792, 233, 38, 12, 0], [1, 2, 78, 169, 715, 1716, 1716, 4719, 1287, 4290, 286, 1287, 13, 104, 0, 1], [1, 2, 78, 169, 716, 1705, 1771, 4554, 1617, 3828, 748, 957, 178, 49, 11, 0], [1, 2, 78, 170, 705, 1760, 1606, 4884, 1155, 4290, 418, 1122, 123, 60, 10, 0], [1, 2, 78, 171, 694, 1815, 1441, 5214, 693, 4752, 88, 1287, 68, 71, 9, 0], [1, 2, 79, 151, 847, 1166, 3201, 1947, 4983, 726, 2761, 77, 409, 26, 7, 1], [1, 2, 79, 152, 836, 1221, 3036, 2277, 4521, 1188, 2431, 242, 354, 37, 6, 1], [1, 2, 79, 153, 825, 1276, 2871, 2607, 4059, 1650, 2101, 407, 299, 48, 5, 1], [1, 2, 79, 154, 814, 1331, 2706, 2937, 3597, 2112, 1771, 572, 244, 59, 4, 1], [1, 2, 79, 154, 815, 1320, 2761, 2772, 3927, 1650, 2233, 242, 409, 4, 15, 0], [1, 2, 79, 155, 803, 1386, 2541, 3267, 3135, 2574, 1441, 737, 189, 70, 3, 1], [1, 2, 79, 155, 804, 1375, 2596, 3102, 3465, 2112, 1903, 407, 354, 15, 14, 0], [1, 2, 79, 156, 792, 1441, 2376, 3597, 2673, 3036, 1111, 902, 134, 81, 2, 1], [1, 2, 79, 156, 793, 1430, 2431, 3432, 3003, 2574, 1573, 572, 299, 26, 13, 0], [1, 2, 79, 157, 781, 1496, 2211, 3927, 2211, 3498, 781, 1067, 79, 92, 1, 1], [1, 2, 79, 157, 782, 1485, 2266, 3762, 2541, 3036, 1243, 737, 244, 37, 12, 0], [1, 2, 79, 158, 770, 1551, 2046, 4257, 1749, 3960, 451, 1232, 24, 103, 0, 1], [1, 2, 79, 158, 771, 1540, 2101, 4092, 2079, 3498, 913, 902, 189, 48, 11, 0], [1, 2, 79, 159, 760, 1595, 1936, 4422, 1617, 3960, 583, 1067, 134, 59, 10, 0], [1, 2, 79, 160, 749, 1650, 1771, 4752, 1155, 4422, 253, 1232, 79, 70, 9, 0], [1, 2, 80, 140, 902, 1001, 3531, 1485, 5445, 396, 2926, 22, 420, 25, 7, 1], [1, 2, 80, 141, 891, 1056, 3366, 1815, 4983, 858, 2596, 187, 365, 36, 6, 1], [1, 2, 80, 142, 880, 1111, 3201, 2145, 4521, 1320, 2266, 352, 310, 47, 5, 1], [1, 2, 80, 143, 869, 1166, 3036, 2475, 4059, 1782, 1936, 517, 255, 58, 4, 1], [1, 2, 80, 143, 870, 1155, 3091, 2310, 4389, 1320, 2398, 187, 420, 3, 15, 0], [1, 2, 80, 144, 858, 1221, 2871, 2805, 3597, 2244, 1606, 682, 200, 69, 3, 1], [1, 2, 80, 144, 859, 1210, 2926, 2640, 3927, 1782, 2068, 352, 365, 14, 14, 0], [1, 2, 80, 145, 847, 1276, 2706, 3135, 3135, 2706, 1276, 847, 145, 80, 2, 1], [1, 2, 80, 145, 848, 1265, 2761, 2970, 3465, 2244, 1738, 517, 310, 25, 13, 0], [1, 2, 80, 146, 836, 1331, 2541, 3465, 2673, 3168, 946, 1012, 90, 91, 1, 1], [1, 2, 80, 146, 837, 1320, 2596, 3300, 3003, 2706, 1408, 682, 255, 36, 12, 0], [1, 2, 80, 147, 825, 1386, 2376, 3795, 2211, 3630, 616, 1177, 35, 102, 0, 1], [1, 2, 80, 147, 826, 1375, 2431, 3630, 2541, 3168, 1078, 847, 200, 47, 11, 0], [1, 2, 80, 148, 815, 1430, 2266, 3960, 2079, 3630, 748, 1012, 145, 58, 10, 0], [1, 2, 80, 149, 804, 1485, 2101, 4290, 1617, 4092, 418, 1177, 90, 69, 9, 0], [1, 2, 80, 150, 793, 1540, 1936, 4620, 1155, 4554, 88, 1342, 35, 80, 8, 0], [1, 2, 81, 130, 946, 891, 3696, 1353, 5445, 528, 2761, 132, 376, 35, 6, 1], [1, 2, 81, 131, 935, 946, 3531, 1683, 4983, 990, 2431, 297, 321, 46, 5, 1], [1, 2, 81, 132, 924, 1001, 3366, 2013, 4521, 1452, 2101, 462, 266, 57, 4, 1], [1, 2, 81, 132, 925, 990, 3421, 1848, 4851, 990, 2563, 132, 431, 2, 15, 0], [1, 2, 81, 133, 913, 1056, 3201, 2343, 4059, 1914, 1771, 627, 211, 68, 3, 1], [1, 2, 81, 133, 914, 1045, 3256, 2178, 4389, 1452, 2233, 297, 376, 13, 14, 0], [1, 2, 81, 134, 902, 1111, 3036, 2673, 3597, 2376, 1441, 792, 156, 79, 2, 1], [1, 2, 81, 134, 903, 1100, 3091, 2508, 3927, 1914, 1903, 462, 321, 24, 13, 0], [1, 2, 81, 135, 891, 1166, 2871, 3003, 3135, 2838, 1111, 957, 101, 90, 1, 1], [1, 2, 81, 135, 892, 1155, 2926, 2838, 3465, 2376, 1573, 627, 266, 35, 12, 0], [1, 2, 81, 136, 880, 1221, 2706, 3333, 2673, 3300, 781, 1122, 46, 101, 0, 1], [1, 2, 81, 136, 881, 1210, 2761, 3168, 3003, 2838, 1243, 792, 211, 46, 11, 0], [1, 2, 81, 137, 870, 1265, 2596, 3498, 2541, 3300, 913, 957, 156, 57, 10, 0], [1, 2, 81, 138, 859, 1320, 2431, 3828, 2079, 3762, 583, 1122, 101, 68, 9, 0], [1, 2, 81, 139, 848, 1375, 2266, 4158, 1617, 4224, 253, 1287, 46, 79, 8, 0], [1, 2, 82, 119, 1001, 726, 4026, 891, 5907, 198, 2926, 77, 387, 34, 6, 1], [1, 2, 82, 120, 990, 781, 3861, 1221, 5445, 660, 2596, 242, 332, 45, 5, 1], [1, 2, 82, 121, 979, 836, 3696, 1551, 4983, 1122, 2266, 407, 277, 56, 4, 1], [1, 2, 82, 121, 980, 825, 3751, 1386, 5313, 660, 2728, 77, 442, 1, 15, 0], [1, 2, 82, 122, 968, 891, 3531, 1881, 4521, 1584, 1936, 572, 222, 67, 3, 1], [1, 2, 82, 122, 969, 880, 3586, 1716, 4851, 1122, 2398, 242, 387, 12, 14, 0], [1, 2, 82, 123, 957, 946, 3366, 2211, 4059, 2046, 1606, 737, 167, 78, 2, 1], [1, 2, 82, 123, 958, 935, 3421, 2046, 4389, 1584, 2068, 407, 332, 23, 13, 0], [1, 2, 82, 124, 946, 1001, 3201, 2541, 3597, 2508, 1276, 902, 112, 89, 1, 1], [1, 2, 82, 124, 947, 990, 3256, 2376, 3927, 2046, 1738, 572, 277, 34, 12, 0], [1, 2, 82, 125, 935, 1056, 3036, 2871, 3135, 2970, 946, 1067, 57, 100, 0, 1], [1, 2, 82, 125, 936, 1045, 3091, 2706, 3465, 2508, 1408, 737, 222, 45, 11, 0], [1, 2, 82, 126, 925, 1100, 2926, 3036, 3003, 2970, 1078, 902, 167, 56, 10, 0], [1, 2, 82, 127, 914, 1155, 2761, 3366, 2541, 3432, 748, 1067, 112, 67, 9, 0], [1, 2, 82, 128, 903, 1210, 2596, 3696, 2079, 3894, 418, 1232, 57, 78, 8, 0], [1, 2, 82, 129, 892, 1265, 2431, 4026, 1617, 4356, 88, 1397, 2, 89, 7, 0], [1, 2, 83, 109, 1045, 616, 4191, 759, 5907, 330, 2761, 187, 343, 44, 5, 1], [1, 2, 83, 110, 1034, 671, 4026, 1089, 5445, 792, 2431, 352, 288, 55, 4, 1], [1, 2, 83, 110, 1035, 660, 4081, 924, 5775, 330, 2893, 22, 453, 0, 15, 0], [1, 2, 83, 111, 1023, 726, 3861, 1419, 4983, 1254, 2101, 517, 233, 66, 3, 1], [1, 2, 83, 111, 1024, 715, 3916, 1254, 5313, 792, 2563, 187, 398, 11, 14, 0], [1, 2, 83, 112, 1012, 781, 3696, 1749, 4521, 1716, 1771, 682, 178, 77, 2, 1], [1, 2, 83, 112, 1013, 770, 3751, 1584, 4851, 1254, 2233, 352, 343, 22, 13, 0], [1, 2, 83, 113, 1001, 836, 3531, 2079, 4059, 2178, 1441, 847, 123, 88, 1, 1], [1, 2, 83, 113, 1002, 825, 3586, 1914, 4389, 1716, 1903, 517, 288, 33, 12, 0], [1, 2, 83, 114, 990, 891, 3366, 2409, 3597, 2640, 1111, 1012, 68, 99, 0, 1], [1, 2, 83, 114, 991, 880, 3421, 2244, 3927, 2178, 1573, 682, 233, 44, 11, 0], [1, 2, 83, 115, 980, 935, 3256, 2574, 3465, 2640, 1243, 847, 178, 55, 10, 0], [1, 2, 83, 116, 969, 990, 3091, 2904, 3003, 3102, 913, 1012, 123, 66, 9, 0], [1, 2, 83, 117, 958, 1045, 2926, 3234, 2541, 3564, 583, 1177, 68, 77, 8, 0], [1, 2, 83, 118, 947, 1100, 2761, 3564, 2079, 4026, 253, 1342, 13, 88, 7, 0], [1, 2, 84, 98, 1100, 451, 4521, 297, 6369, 0, 2926, 132, 354, 43, 5, 1], [1, 2, 84, 99, 1089, 506, 4356, 627, 5907, 462, 2596, 297, 299, 54, 4, 1], [1, 2, 84, 100, 1078, 561, 4191, 957, 5445, 924, 2266, 462, 244, 65, 3, 1], [1, 2, 84, 100, 1079, 550, 4246, 792, 5775, 462, 2728, 132, 409, 10, 14, 0], [1, 2, 84, 101, 1067, 616, 4026, 1287, 4983, 1386, 1936, 627, 189, 76, 2, 1], [1, 2, 84, 101, 1068, 605, 4081, 1122, 5313, 924, 2398, 297, 354, 21, 13, 0], [1, 2, 84, 102, 1056, 671, 3861, 1617, 4521, 1848, 1606, 792, 134, 87, 1, 1], [1, 2, 84, 102, 1057, 660, 3916, 1452, 4851, 1386, 2068, 462, 299, 32, 12, 0], [1, 2, 84, 103, 1045, 726, 3696, 1947, 4059, 2310, 1276, 957, 79, 98, 0, 1], [1, 2, 84, 103, 1046, 715, 3751, 1782, 4389, 1848, 1738, 627, 244, 43, 11, 0], [1, 2, 84, 104, 1035, 770, 3586, 2112, 3927, 2310, 1408, 792, 189, 54, 10, 0], [1, 2, 84, 105, 1024, 825, 3421, 2442, 3465, 2772, 1078, 957, 134, 65, 9, 0], [1, 2, 84, 106, 1013, 880, 3256, 2772, 3003, 3234, 748, 1122, 79, 76, 8, 0], [1, 2, 84, 107, 1002, 935, 3091, 3102, 2541, 3696, 418, 1287, 24, 87, 7, 0], [1, 2, 85, 88, 1144, 341, 4686, 165, 6369, 132, 2761, 242, 310, 53, 4, 1], [1, 2, 85, 89, 1133, 396, 4521, 495, 5907, 594, 2431, 407, 255, 64, 3, 1], [1, 2, 85, 89, 1134, 385, 4576, 330, 6237, 132, 2893, 77, 420, 9, 14, 0], [1, 2, 85, 90, 1122, 451, 4356, 825, 5445, 1056, 2101, 572, 200, 75, 2, 1], [1, 2, 85, 90, 1123, 440, 4411, 660, 5775, 594, 2563, 242, 365, 20, 13, 0], [1, 2, 85, 91, 1111, 506, 4191, 1155, 4983, 1518, 1771, 737, 145, 86, 1, 1], [1, 2, 85, 91, 1112, 495, 4246, 990, 5313, 1056, 2233, 407, 310, 31, 12, 0], [1, 2, 85, 92, 1100, 561, 4026, 1485, 4521, 1980, 1441, 902, 90, 97, 0, 1], [1, 2, 85, 92, 1101, 550, 4081, 1320, 4851, 1518, 1903, 572, 255, 42, 11, 0], [1, 2, 85, 93, 1090, 605, 3916, 1650, 4389, 1980, 1573, 737, 200, 53, 10, 0], [1, 2, 85, 94, 1079, 660, 3751, 1980, 3927, 2442, 1243, 902, 145, 64, 9, 0], [1, 2, 85, 95, 1068, 715, 3586, 2310, 3465, 2904, 913, 1067, 90, 75, 8, 0], [1, 2, 85, 96, 1057, 770, 3421, 2640, 3003, 3366, 583, 1232, 35, 86, 7, 0], [1, 2, 86, 78, 1188, 231, 4851, 33, 6369, 264, 2596, 352, 266, 63, 3, 1], [1, 2, 86, 79, 1177, 286, 4686, 363, 5907, 726, 2266, 517, 211, 74, 2, 1], [1, 2, 86, 79, 1178, 275, 4741, 198, 6237, 264, 2728, 187, 376, 19, 13, 0], [1, 2, 86, 80, 1166, 341, 4521, 693, 5445, 1188, 1936, 682, 156, 85, 1, 1], [1, 2, 86, 80, 1167, 330, 4576, 528, 5775, 726, 2398, 352, 321, 30, 12, 0], [1, 2, 86, 81, 1155, 396, 4356, 1023, 4983, 1650, 1606, 847, 101, 96, 0, 1], [1, 2, 86, 81, 1156, 385, 4411, 858, 5313, 1188, 2068, 517, 266, 41, 11, 0], [1, 2, 86, 82, 1145, 440, 4246, 1188, 4851, 1650, 1738, 682, 211, 52, 10, 0], [1, 2, 86, 83, 1134, 495, 4081, 1518, 4389, 2112, 1408, 847, 156, 63, 9, 0], [1, 2, 86, 84, 1123, 550, 3916, 1848, 3927, 2574, 1078, 1012, 101, 74, 8, 0], [1, 2, 86, 85, 1112, 605, 3751, 2178, 3465, 3036, 748, 1177, 46, 85, 7, 0], [1, 2, 87, 69, 1221, 176, 4851, 231, 5907, 858, 2101, 627, 167, 84, 1, 1], [1, 2, 87, 69, 1222, 165, 4906, 66, 6237, 396, 2563, 297, 332, 29, 12, 0], [1, 2, 87, 70, 1210, 231, 4686, 561, 5445, 1320, 1771, 792, 112, 95, 0, 1], [1, 2, 87, 70, 1211, 220, 4741, 396, 5775, 858, 2233, 462, 277, 40, 11, 0], [1, 2, 87, 71, 1200, 275, 4576, 726, 5313, 1320, 1903, 627, 222, 51, 10, 0], [1, 2, 87, 72, 1189, 330, 4411, 1056, 4851, 1782, 1573, 792, 167, 62, 9, 0], [1, 2, 87, 73, 1178, 385, 4246, 1386, 4389, 2244, 1243, 957, 112, 73, 8, 0], [1, 2, 87, 74, 1167, 440, 4081, 1716, 3927, 2706, 913, 1122, 57, 84, 7, 0], [1, 2, 87, 75, 1156, 495, 3916, 2046, 3465, 3168, 583, 1287, 2, 95, 6, 0], [1, 2, 88, 59, 1265, 66, 5016, 99, 5907, 990, 1936, 737, 123, 94, 0, 1], [1, 2, 88, 60, 1255, 110, 4906, 264, 5775, 990, 2068, 572, 233, 50, 10, 0], [1, 2, 88, 61, 1244, 165, 4741, 594, 5313, 1452, 1738, 737, 178, 61, 9, 0], [1, 2, 88, 62, 1233, 220, 4576, 924, 4851, 1914, 1408, 902, 123, 72, 8, 0], [1, 2, 88, 63, 1222, 275, 4411, 1254, 4389, 2376, 1078, 1067, 68, 83, 7, 0], [1, 2, 88, 64, 1211, 330, 4246, 1584, 3927, 2838, 748, 1232, 13, 94, 6, 0], [1, 2, 89, 50, 1299, 0, 5071, 132, 5775, 1122, 1903, 682, 189, 60, 9, 0], [1, 2, 89, 51, 1288, 55, 4906, 462, 5313, 1584, 1573, 847, 134, 71, 8, 0], [1, 2, 89, 52, 1277, 110, 4741, 792, 4851, 2046, 1243, 1012, 79, 82, 7, 0], [1, 2, 89, 53, 1266, 165, 4576, 1122, 4389, 2508, 913, 1177, 24, 93, 6, 0], [1, 2, 90, 42, 1321, 0, 4906, 660, 4851, 2178, 1078, 1122, 35, 92, 6, 0], [1, 3, 57, 321, 142, 2992, 44, 5676, 2013, 2211, 2409, 33, 452, 26, 2, 2], [1, 3, 58, 311, 186, 2882, 209, 5544, 2013, 2343, 2244, 143, 408, 36, 1, 2], [1, 3, 58, 312, 175, 2937, 44, 5874, 1551, 2805, 1914, 308, 353, 47, 0, 2], [1, 3, 59, 300, 241, 2717, 539, 5082, 2475, 2013, 2409, 88, 419, 35, 1, 2], [1, 3, 59, 301, 230, 2772, 374, 5412, 2013, 2475, 2079, 253, 364, 46, 0, 2], [1, 3, 59, 302, 220, 2816, 264, 5577, 1881, 2475, 2211, 88, 474, 2, 10, 1], [1, 3, 59, 303, 209, 2871, 99, 5907, 1419, 2937, 1881, 253, 419, 13, 9, 1], [1, 3, 60, 289, 296, 2552, 869, 4620, 2937, 1683, 2574, 33, 430, 34, 1, 2], [1, 3, 60, 290, 285, 2607, 704, 4950, 2475, 2145, 2244, 198, 375, 45, 0, 2], [1, 3, 60, 291, 275, 2651, 594, 5115, 2343, 2145, 2376, 33, 485, 1, 10, 1], [1, 3, 60, 292, 264, 2706, 429, 5445, 1881, 2607, 2046, 198, 430, 12, 9, 1], [1, 3, 60, 293, 253, 2761, 264, 5775, 1419, 3069, 1716, 363, 375, 23, 8, 1], [1, 3, 60, 294, 242, 2816, 99, 6105, 957, 3531, 1386, 528, 320, 34, 7, 1], [1, 3, 61, 279, 340, 2442, 1034, 4488, 2937, 1815, 2409, 143, 386, 44, 0, 2], [1, 3, 61, 281, 319, 2541, 759, 4983, 2343, 2277, 2211, 143, 441, 11, 9, 1], [1, 3, 61, 282, 308, 2596, 594, 5313, 1881, 2739, 1881, 308, 386, 22, 8, 1], [1, 3, 61, 283, 297, 2651, 429, 5643, 1419, 3201, 1551, 473, 331, 33, 7, 1], [1, 3, 61, 284, 286, 2706, 264, 5973, 957, 3663, 1221, 638, 276, 44, 6, 1], [1, 3, 61, 285, 275, 2761, 99, 6303, 495, 4125, 891, 803, 221, 55, 5, 1], [1, 3, 61, 285, 276, 2750, 154, 6138, 825, 3663, 1353, 473, 386, 0, 16, 0], [1, 3, 62, 268, 395, 2277, 1364, 4026, 3399, 1485, 2574, 88, 397, 43, 0, 2], [1, 3, 62, 270, 374, 2376, 1089, 4521, 2805, 1947, 2376, 88, 452, 10, 9, 1], [1, 3, 62, 271, 363, 2431, 924, 4851, 2343, 2409, 2046, 253, 397, 21, 8, 1], [1, 3, 62, 272, 352, 2486, 759, 5181, 1881, 2871, 1716, 418, 342, 32, 7, 1], [1, 3, 62, 273, 341, 2541, 594, 5511, 1419, 3333, 1386, 583, 287, 43, 6, 1], [1, 3, 62, 274, 330, 2596, 429, 5841, 957, 3795, 1056, 748, 232, 54, 5, 1], [1, 3, 62, 275, 319, 2651, 264, 6171, 495, 4257, 726, 913, 177, 65, 4, 1], [1, 3, 62, 275, 320, 2640, 319, 6006, 825, 3795, 1188, 583, 342, 10, 15, 0], [1, 3, 62, 276, 308, 2706, 99, 6501, 33, 4719, 396, 1078, 122, 76, 3, 1], [1, 3, 62, 276, 309, 2695, 154, 6336, 363, 4257, 858, 748, 287, 21, 14, 0], [1, 3, 63, 257, 450, 2112, 1694, 3564, 3861, 1155, 2739, 33, 408, 42, 0, 2], [1, 3, 63, 259, 429, 2211, 1419, 4059, 3267, 1617, 2541, 33, 463, 9, 9, 1], [1, 3, 63, 260, 418, 2266, 1254, 4389, 2805, 2079, 2211, 198, 408, 20, 8, 1], [1, 3, 63, 261, 407, 2321, 1089, 4719, 2343, 2541, 1881, 363, 353, 31, 7, 1], [1, 3, 63, 262, 396, 2376, 924, 5049, 1881, 3003, 1551, 528, 298, 42, 6, 1], [1, 3, 63, 263, 385, 2431, 759, 5379, 1419, 3465, 1221, 693, 243, 53, 5, 1], [1, 3, 63, 264, 374, 2486, 594, 5709, 957, 3927, 891, 858, 188, 64, 4, 1], [1, 3, 63, 264, 375, 2475, 649, 5544, 1287, 3465, 1353, 528, 353, 9, 15, 0], [1, 3, 63, 265, 363, 2541, 429, 6039, 495, 4389, 561, 1023, 133, 75, 3, 1], [1, 3, 63, 265, 364, 2530, 484, 5874, 825, 3927, 1023, 693, 298, 20, 14, 0], [1, 3, 63, 266, 352, 2596, 264, 6369, 33, 4851, 231, 1188, 78, 86, 2, 1], [1, 3, 63, 266, 353, 2585, 319, 6204, 363, 4389, 693, 858, 243, 31, 13, 0], [1, 3, 64, 249, 473, 2101, 1584, 3927, 3267, 1749, 2376, 143, 419, 19, 8, 1], [1, 3, 64, 250, 462, 2156, 1419, 4257, 2805, 2211, 2046, 308, 364, 30, 7, 1], [1, 3, 64, 251, 451, 2211, 1254, 4587, 2343, 2673, 1716, 473, 309, 41, 6, 1], [1, 3, 64, 252, 440, 2266, 1089, 4917, 1881, 3135, 1386, 638, 254, 52, 5, 1], [1, 3, 64, 253, 429, 2321, 924, 5247, 1419, 3597, 1056, 803, 199, 63, 4, 1], [1, 3, 64, 253, 430, 2310, 979, 5082, 1749, 3135, 1518, 473, 364, 8, 15, 0], [1, 3, 64, 254, 418, 2376, 759, 5577, 957, 4059, 726, 968, 144, 74, 3, 1], [1, 3, 64, 254, 419, 2365, 814, 5412, 1287, 3597, 1188, 638, 309, 19, 14, 0], [1, 3, 64, 255, 407, 2431, 594, 5907, 495, 4521, 396, 1133, 89, 85, 2, 1], [1, 3, 64, 255, 408, 2420, 649, 5742, 825, 4059, 858, 803, 254, 30, 13, 0], [1, 3, 64, 256, 396, 2486, 429, 6237, 33, 4983, 66, 1298, 34, 96, 1, 1], [1, 3, 64, 256, 397, 2475, 484, 6072, 363, 4521, 528, 968, 199, 41, 12, 0], [1, 3, 65, 238, 528, 1936, 1914, 3465, 3729, 1419, 2541, 88, 430, 18, 8, 1], [1, 3, 65, 239, 517, 1991, 1749, 3795, 3267, 1881, 2211, 253, 375, 29, 7, 1], [1, 3, 65, 240, 506, 2046, 1584, 4125, 2805, 2343, 1881, 418, 320, 40, 6, 1], [1, 3, 65, 241, 495, 2101, 1419, 4455, 2343, 2805, 1551, 583, 265, 51, 5, 1], [1, 3, 65, 242, 484, 2156, 1254, 4785, 1881, 3267, 1221, 748, 210, 62, 4, 1], [1, 3, 65, 242, 485, 2145, 1309, 4620, 2211, 2805, 1683, 418, 375, 7, 15, 0], [1, 3, 65, 243, 473, 2211, 1089, 5115, 1419, 3729, 891, 913, 155, 73, 3, 1], [1, 3, 65, 243, 474, 2200, 1144, 4950, 1749, 3267, 1353, 583, 320, 18, 14, 0], [1, 3, 65, 244, 462, 2266, 924, 5445, 957, 4191, 561, 1078, 100, 84, 2, 1], [1, 3, 65, 244, 463, 2255, 979, 5280, 1287, 3729, 1023, 748, 265, 29, 13, 0], [1, 3, 65, 245, 451, 2321, 759, 5775, 495, 4653, 231, 1243, 45, 95, 1, 1], [1, 3, 65, 245, 452, 2310, 814, 5610, 825, 4191, 693, 913, 210, 40, 12, 0], [1, 3, 65, 246, 441, 2365, 649, 5940, 363, 4653, 363, 1078, 155, 51, 11, 0], [1, 3, 66, 227, 583, 1771, 2244, 3003, 4191, 1089, 2706, 33, 441, 17, 8, 1], [1, 3, 66, 228, 572, 1826, 2079, 3333, 3729, 1551, 2376, 198, 386, 28, 7, 1], [1, 3, 66, 229, 561, 1881, 1914, 3663, 3267, 2013, 2046, 363, 331, 39, 6, 1], [1, 3, 66, 230, 550, 1936, 1749, 3993, 2805, 2475, 1716, 528, 276, 50, 5, 1], [1, 3, 66, 231, 539, 1991, 1584, 4323, 2343, 2937, 1386, 693, 221, 61, 4, 1], [1, 3, 66, 231, 540, 1980, 1639, 4158, 2673, 2475, 1848, 363, 386, 6, 15, 0], [1, 3, 66, 232, 528, 2046, 1419, 4653, 1881, 3399, 1056, 858, 166, 72, 3, 1], [1, 3, 66, 232, 529, 2035, 1474, 4488, 2211, 2937, 1518, 528, 331, 17, 14, 0], [1, 3, 66, 233, 517, 2101, 1254, 4983, 1419, 3861, 726, 1023, 111, 83, 2, 1], [1, 3, 66, 233, 518, 2090, 1309, 4818, 1749, 3399, 1188, 693, 276, 28, 13, 0], [1, 3, 66, 234, 506, 2156, 1089, 5313, 957, 4323, 396, 1188, 56, 94, 1, 1], [1, 3, 66, 234, 507, 2145, 1144, 5148, 1287, 3861, 858, 858, 221, 39, 12, 0], [1, 3, 66, 235, 495, 2211, 924, 5643, 495, 4785, 66, 1353, 1, 105, 0, 1], [1, 3, 66, 235, 496, 2200, 979, 5478, 825, 4323, 528, 1023, 166, 50, 11, 0], [1, 3, 66, 236, 485, 2255, 814, 5808, 363, 4785, 198, 1188, 111, 61, 10, 0], [1, 3, 67, 217, 627, 1661, 2409, 2871, 4191, 1221, 2541, 143, 397, 27, 7, 1], [1, 3, 67, 218, 616, 1716, 2244, 3201, 3729, 1683, 2211, 308, 342, 38, 6, 1], [1, 3, 67, 219, 605, 1771, 2079, 3531, 3267, 2145, 1881, 473, 287, 49, 5, 1], [1, 3, 67, 220, 594, 1826, 1914, 3861, 2805, 2607, 1551, 638, 232, 60, 4, 1], [1, 3, 67, 220, 595, 1815, 1969, 3696, 3135, 2145, 2013, 308, 397, 5, 15, 0], [1, 3, 67, 221, 583, 1881, 1749, 4191, 2343, 3069, 1221, 803, 177, 71, 3, 1], [1, 3, 67, 221, 584, 1870, 1804, 4026, 2673, 2607, 1683, 473, 342, 16, 14, 0], [1, 3, 67, 222, 572, 1936, 1584, 4521, 1881, 3531, 891, 968, 122, 82, 2, 1], [1, 3, 67, 222, 573, 1925, 1639, 4356, 2211, 3069, 1353, 638, 287, 27, 13, 0], [1, 3, 67, 223, 561, 1991, 1419, 4851, 1419, 3993, 561, 1133, 67, 93, 1, 1], [1, 3, 67, 223, 562, 1980, 1474, 4686, 1749, 3531, 1023, 803, 232, 38, 12, 0], [1, 3, 67, 224, 550, 2046, 1254, 5181, 957, 4455, 231, 1298, 12, 104, 0, 1], [1, 3, 67, 224, 551, 2035, 1309, 5016, 1287, 3993, 693, 968, 177, 49, 11, 0], [1, 3, 67, 225, 540, 2090, 1144, 5346, 825, 4455, 363, 1133, 122, 60, 10, 0], [1, 3, 67, 226, 529, 2145, 979, 5676, 363, 4917, 33, 1298, 67, 71, 9, 0], [1, 3, 68, 206, 682, 1496, 2739, 2409, 4653, 891, 2706, 88, 408, 26, 7, 1], [1, 3, 68, 207, 671, 1551, 2574, 2739, 4191, 1353, 2376, 253, 353, 37, 6, 1], [1, 3, 68, 208, 660, 1606, 2409, 3069, 3729, 1815, 2046, 418, 298, 48, 5, 1], [1, 3, 68, 209, 649, 1661, 2244, 3399, 3267, 2277, 1716, 583, 243, 59, 4, 1], [1, 3, 68, 209, 650, 1650, 2299, 3234, 3597, 1815, 2178, 253, 408, 4, 15, 0], [1, 3, 68, 210, 638, 1716, 2079, 3729, 2805, 2739, 1386, 748, 188, 70, 3, 1], [1, 3, 68, 210, 639, 1705, 2134, 3564, 3135, 2277, 1848, 418, 353, 15, 14, 0], [1, 3, 68, 211, 627, 1771, 1914, 4059, 2343, 3201, 1056, 913, 133, 81, 2, 1], [1, 3, 68, 211, 628, 1760, 1969, 3894, 2673, 2739, 1518, 583, 298, 26, 13, 0], [1, 3, 68, 212, 616, 1826, 1749, 4389, 1881, 3663, 726, 1078, 78, 92, 1, 1], [1, 3, 68, 212, 617, 1815, 1804, 4224, 2211, 3201, 1188, 748, 243, 37, 12, 0], [1, 3, 68, 213, 605, 1881, 1584, 4719, 1419, 4125, 396, 1243, 23, 103, 0, 1], [1, 3, 68, 213, 606, 1870, 1639, 4554, 1749, 3663, 858, 913, 188, 48, 11, 0], [1, 3, 68, 214, 595, 1925, 1474, 4884, 1287, 4125, 528, 1078, 133, 59, 10, 0], [1, 3, 68, 215, 584, 1980, 1309, 5214, 825, 4587, 198, 1243, 78, 70, 9, 0], [1, 3, 69, 195, 737, 1331, 3069, 1947, 5115, 561, 2871, 33, 419, 25, 7, 1], [1, 3, 69, 196, 726, 1386, 2904, 2277, 4653, 1023, 2541, 198, 364, 36, 6, 1], [1, 3, 69, 197, 715, 1441, 2739, 2607, 4191, 1485, 2211, 363, 309, 47, 5, 1], [1, 3, 69, 198, 704, 1496, 2574, 2937, 3729, 1947, 1881, 528, 254, 58, 4, 1], [1, 3, 69, 198, 705, 1485, 2629, 2772, 4059, 1485, 2343, 198, 419, 3, 15, 0], [1, 3, 69, 199, 693, 1551, 2409, 3267, 3267, 2409, 1551, 693, 199, 69, 3, 1], [1, 3, 69, 199, 694, 1540, 2464, 3102, 3597, 1947, 2013, 363, 364, 14, 14, 0], [1, 3, 69, 200, 682, 1606, 2244, 3597, 2805, 2871, 1221, 858, 144, 80, 2, 1], [1, 3, 69, 200, 683, 1595, 2299, 3432, 3135, 2409, 1683, 528, 309, 25, 13, 0], [1, 3, 69, 201, 671, 1661, 2079, 3927, 2343, 3333, 891, 1023, 89, 91, 1, 1], [1, 3, 69, 201, 672, 1650, 2134, 3762, 2673, 2871, 1353, 693, 254, 36, 12, 0], [1, 3, 69, 202, 660, 1716, 1914, 4257, 1881, 3795, 561, 1188, 34, 102, 0, 1], [1, 3, 69, 202, 661, 1705, 1969, 4092, 2211, 3333, 1023, 858, 199, 47, 11, 0], [1, 3, 69, 203, 650, 1760, 1804, 4422, 1749, 3795, 693, 1023, 144, 58, 10, 0], [1, 3, 69, 204, 639, 1815, 1639, 4752, 1287, 4257, 363, 1188, 89, 69, 9, 0], [1, 3, 69, 205, 628, 1870, 1474, 5082, 825, 4719, 33, 1353, 34, 80, 8, 0], [1, 3, 70, 185, 781, 1221, 3234, 1815, 5115, 693, 2706, 143, 375, 35, 6, 1], [1, 3, 70, 186, 770, 1276, 3069, 2145, 4653, 1155, 2376, 308, 320, 46, 5, 1], [1, 3, 70, 187, 759, 1331, 2904, 2475, 4191, 1617, 2046, 473, 265, 57, 4, 1], [1, 3, 70, 187, 760, 1320, 2959, 2310, 4521, 1155, 2508, 143, 430, 2, 15, 0], [1, 3, 70, 188, 748, 1386, 2739, 2805, 3729, 2079, 1716, 638, 210, 68, 3, 1], [1, 3, 70, 188, 749, 1375, 2794, 2640, 4059, 1617, 2178, 308, 375, 13, 14, 0], [1, 3, 70, 189, 737, 1441, 2574, 3135, 3267, 2541, 1386, 803, 155, 79, 2, 1], [1, 3, 70, 189, 738, 1430, 2629, 2970, 3597, 2079, 1848, 473, 320, 24, 13, 0], [1, 3, 70, 190, 726, 1496, 2409, 3465, 2805, 3003, 1056, 968, 100, 90, 1, 1], [1, 3, 70, 190, 727, 1485, 2464, 3300, 3135, 2541, 1518, 638, 265, 35, 12, 0], [1, 3, 70, 191, 715, 1551, 2244, 3795, 2343, 3465, 726, 1133, 45, 101, 0, 1], [1, 3, 70, 191, 716, 1540, 2299, 3630, 2673, 3003, 1188, 803, 210, 46, 11, 0], [1, 3, 70, 192, 705, 1595, 2134, 3960, 2211, 3465, 858, 968, 155, 57, 10, 0], [1, 3, 70, 193, 694, 1650, 1969, 4290, 1749, 3927, 528, 1133, 100, 68, 9, 0], [1, 3, 70, 194, 683, 1705, 1804, 4620, 1287, 4389, 198, 1298, 45, 79, 8, 0], [1, 3, 71, 174, 836, 1056, 3564, 1353, 5577, 363, 2871, 88, 386, 34, 6, 1], [1, 3, 71, 175, 825, 1111, 3399, 1683, 5115, 825, 2541, 253, 331, 45, 5, 1], [1, 3, 71, 176, 814, 1166, 3234, 2013, 4653, 1287, 2211, 418, 276, 56, 4, 1], [1, 3, 71, 176, 815, 1155, 3289, 1848, 4983, 825, 2673, 88, 441, 1, 15, 0], [1, 3, 71, 177, 803, 1221, 3069, 2343, 4191, 1749, 1881, 583, 221, 67, 3, 1], [1, 3, 71, 177, 804, 1210, 3124, 2178, 4521, 1287, 2343, 253, 386, 12, 14, 0], [1, 3, 71, 178, 792, 1276, 2904, 2673, 3729, 2211, 1551, 748, 166, 78, 2, 1], [1, 3, 71, 178, 793, 1265, 2959, 2508, 4059, 1749, 2013, 418, 331, 23, 13, 0], [1, 3, 71, 179, 781, 1331, 2739, 3003, 3267, 2673, 1221, 913, 111, 89, 1, 1], [1, 3, 71, 179, 782, 1320, 2794, 2838, 3597, 2211, 1683, 583, 276, 34, 12, 0], [1, 3, 71, 180, 770, 1386, 2574, 3333, 2805, 3135, 891, 1078, 56, 100, 0, 1], [1, 3, 71, 180, 771, 1375, 2629, 3168, 3135, 2673, 1353, 748, 221, 45, 11, 0], [1, 3, 71, 181, 760, 1430, 2464, 3498, 2673, 3135, 1023, 913, 166, 56, 10, 0], [1, 3, 71, 182, 749, 1485, 2299, 3828, 2211, 3597, 693, 1078, 111, 67, 9, 0], [1, 3, 71, 183, 738, 1540, 2134, 4158, 1749, 4059, 363, 1243, 56, 78, 8, 0], [1, 3, 71, 184, 727, 1595, 1969, 4488, 1287, 4521, 33, 1408, 1, 89, 7, 0], [1, 3, 72, 163, 891, 891, 3894, 891, 6039, 33, 3036, 33, 397, 33, 6, 1], [1, 3, 72, 164, 880, 946, 3729, 1221, 5577, 495, 2706, 198, 342, 44, 5, 1], [1, 3, 72, 165, 869, 1001, 3564, 1551, 5115, 957, 2376, 363, 287, 55, 4, 1], [1, 3, 72, 165, 870, 990, 3619, 1386, 5445, 495, 2838, 33, 452, 0, 15, 0], [1, 3, 72, 166, 858, 1056, 3399, 1881, 4653, 1419, 2046, 528, 232, 66, 3, 1], [1, 3, 72, 166, 859, 1045, 3454, 1716, 4983, 957, 2508, 198, 397, 11, 14, 0], [1, 3, 72, 167, 847, 1111, 3234, 2211, 4191, 1881, 1716, 693, 177, 77, 2, 1], [1, 3, 72, 167, 848, 1100, 3289, 2046, 4521, 1419, 2178, 363, 342, 22, 13, 0], [1, 3, 72, 168, 836, 1166, 3069, 2541, 3729, 2343, 1386, 858, 122, 88, 1, 1], [1, 3, 72, 168, 837, 1155, 3124, 2376, 4059, 1881, 1848, 528, 287, 33, 12, 0], [1, 3, 72, 169, 825, 1221, 2904, 2871, 3267, 2805, 1056, 1023, 67, 99, 0, 1], [1, 3, 72, 169, 826, 1210, 2959, 2706, 3597, 2343, 1518, 693, 232, 44, 11, 0], [1, 3, 72, 170, 815, 1265, 2794, 3036, 3135, 2805, 1188, 858, 177, 55, 10, 0], [1, 3, 72, 171, 804, 1320, 2629, 3366, 2673, 3267, 858, 1023, 122, 66, 9, 0], [1, 3, 72, 172, 793, 1375, 2464, 3696, 2211, 3729, 528, 1188, 67, 77, 8, 0], [1, 3, 72, 173, 782, 1430, 2299, 4026, 1749, 4191, 198, 1353, 12, 88, 7, 0], [1, 3, 73, 153, 935, 781, 4059, 759, 6039, 165, 2871, 143, 353, 43, 5, 1], [1, 3, 73, 154, 924, 836, 3894, 1089, 5577, 627, 2541, 308, 298, 54, 4, 1], [1, 3, 73, 155, 913, 891, 3729, 1419, 5115, 1089, 2211, 473, 243, 65, 3, 1], [1, 3, 73, 155, 914, 880, 3784, 1254, 5445, 627, 2673, 143, 408, 10, 14, 0], [1, 3, 73, 156, 902, 946, 3564, 1749, 4653, 1551, 1881, 638, 188, 76, 2, 1], [1, 3, 73, 156, 903, 935, 3619, 1584, 4983, 1089, 2343, 308, 353, 21, 13, 0], [1, 3, 73, 157, 891, 1001, 3399, 2079, 4191, 2013, 1551, 803, 133, 87, 1, 1], [1, 3, 73, 157, 892, 990, 3454, 1914, 4521, 1551, 2013, 473, 298, 32, 12, 0], [1, 3, 73, 158, 880, 1056, 3234, 2409, 3729, 2475, 1221, 968, 78, 98, 0, 1], [1, 3, 73, 158, 881, 1045, 3289, 2244, 4059, 2013, 1683, 638, 243, 43, 11, 0], [1, 3, 73, 159, 870, 1100, 3124, 2574, 3597, 2475, 1353, 803, 188, 54, 10, 0], [1, 3, 73, 160, 859, 1155, 2959, 2904, 3135, 2937, 1023, 968, 133, 65, 9, 0], [1, 3, 73, 161, 848, 1210, 2794, 3234, 2673, 3399, 693, 1133, 78, 76, 8, 0], [1, 3, 73, 162, 837, 1265, 2629, 3564, 2211, 3861, 363, 1298, 23, 87, 7, 0], [1, 3, 74, 143, 979, 671, 4224, 627, 6039, 297, 2706, 253, 309, 53, 4, 1], [1, 3, 74, 144, 968, 726, 4059, 957, 5577, 759, 2376, 418, 254, 64, 3, 1], [1, 3, 74, 144, 969, 715, 4114, 792, 5907, 297, 2838, 88, 419, 9, 14, 0], [1, 3, 74, 145, 957, 781, 3894, 1287, 5115, 1221, 2046, 583, 199, 75, 2, 1], [1, 3, 74, 145, 958, 770, 3949, 1122, 5445, 759, 2508, 253, 364, 20, 13, 0], [1, 3, 74, 146, 946, 836, 3729, 1617, 4653, 1683, 1716, 748, 144, 86, 1, 1], [1, 3, 74, 146, 947, 825, 3784, 1452, 4983, 1221, 2178, 418, 309, 31, 12, 0], [1, 3, 74, 147, 935, 891, 3564, 1947, 4191, 2145, 1386, 913, 89, 97, 0, 1], [1, 3, 74, 147, 936, 880, 3619, 1782, 4521, 1683, 1848, 583, 254, 42, 11, 0], [1, 3, 74, 148, 925, 935, 3454, 2112, 4059, 2145, 1518, 748, 199, 53, 10, 0], [1, 3, 74, 149, 914, 990, 3289, 2442, 3597, 2607, 1188, 913, 144, 64, 9, 0], [1, 3, 74, 150, 903, 1045, 3124, 2772, 3135, 3069, 858, 1078, 89, 75, 8, 0], [1, 3, 74, 151, 892, 1100, 2959, 3102, 2673, 3531, 528, 1243, 34, 86, 7, 0], [1, 3, 75, 133, 1023, 561, 4389, 495, 6039, 429, 2541, 363, 265, 63, 3, 1], [1, 3, 75, 134, 1012, 616, 4224, 825, 5577, 891, 2211, 528, 210, 74, 2, 1], [1, 3, 75, 134, 1013, 605, 4279, 660, 5907, 429, 2673, 198, 375, 19, 13, 0], [1, 3, 75, 135, 1001, 671, 4059, 1155, 5115, 1353, 1881, 693, 155, 85, 1, 1], [1, 3, 75, 135, 1002, 660, 4114, 990, 5445, 891, 2343, 363, 320, 30, 12, 0], [1, 3, 75, 136, 990, 726, 3894, 1485, 4653, 1815, 1551, 858, 100, 96, 0, 1], [1, 3, 75, 136, 991, 715, 3949, 1320, 4983, 1353, 2013, 528, 265, 41, 11, 0], [1, 3, 75, 137, 980, 770, 3784, 1650, 4521, 1815, 1683, 693, 210, 52, 10, 0], [1, 3, 75, 138, 969, 825, 3619, 1980, 4059, 2277, 1353, 858, 155, 63, 9, 0], [1, 3, 75, 139, 958, 880, 3454, 2310, 3597, 2739, 1023, 1023, 100, 74, 8, 0], [1, 3, 75, 140, 947, 935, 3289, 2640, 3135, 3201, 693, 1188, 45, 85, 7, 0], [1, 3, 76, 122, 1078, 396, 4719, 33, 6501, 99, 2706, 308, 276, 62, 3, 1], [1, 3, 76, 123, 1067, 451, 4554, 363, 6039, 561, 2376, 473, 221, 73, 2, 1], [1, 3, 76, 123, 1068, 440, 4609, 198, 6369, 99, 2838, 143, 386, 18, 13, 0], [1, 3, 76, 124, 1056, 506, 4389, 693, 5577, 1023, 2046, 638, 166, 84, 1, 1], [1, 3, 76, 124, 1057, 495, 4444, 528, 5907, 561, 2508, 308, 331, 29, 12, 0], [1, 3, 76, 125, 1045, 561, 4224, 1023, 5115, 1485, 1716, 803, 111, 95, 0, 1], [1, 3, 76, 125, 1046, 550, 4279, 858, 5445, 1023, 2178, 473, 276, 40, 11, 0], [1, 3, 76, 126, 1035, 605, 4114, 1188, 4983, 1485, 1848, 638, 221, 51, 10, 0], [1, 3, 76, 127, 1024, 660, 3949, 1518, 4521, 1947, 1518, 803, 166, 62, 9, 0], [1, 3, 76, 128, 1013, 715, 3784, 1848, 4059, 2409, 1188, 968, 111, 73, 8, 0], [1, 3, 76, 129, 1002, 770, 3619, 2178, 3597, 2871, 858, 1133, 56, 84, 7, 0], [1, 3, 76, 130, 991, 825, 3454, 2508, 3135, 3333, 528, 1298, 1, 95, 6, 0], [1, 3, 77, 113, 1111, 341, 4719, 231, 6039, 693, 2211, 583, 177, 83, 1, 1], [1, 3, 77, 113, 1112, 330, 4774, 66, 6369, 231, 2673, 253, 342, 28, 12, 0], [1, 3, 77, 114, 1100, 396, 4554, 561, 5577, 1155, 1881, 748, 122, 94, 0, 1], [1, 3, 77, 114, 1101, 385, 4609, 396, 5907, 693, 2343, 418, 287, 39, 11, 0], [1, 3, 77, 115, 1090, 440, 4444, 726, 5445, 1155, 2013, 583, 232, 50, 10, 0], [1, 3, 77, 116, 1079, 495, 4279, 1056, 4983, 1617, 1683, 748, 177, 61, 9, 0], [1, 3, 77, 117, 1068, 550, 4114, 1386, 4521, 2079, 1353, 913, 122, 72, 8, 0], [1, 3, 77, 118, 1057, 605, 3949, 1716, 4059, 2541, 1023, 1078, 67, 83, 7, 0], [1, 3, 77, 119, 1046, 660, 3784, 2046, 3597, 3003, 693, 1243, 12, 94, 6, 0], [1, 3, 78, 103, 1155, 231, 4884, 99, 6039, 825, 2046, 693, 133, 93, 0, 1], [1, 3, 78, 104, 1145, 275, 4774, 264, 5907, 825, 2178, 528, 243, 49, 10, 0], [1, 3, 78, 105, 1134, 330, 4609, 594, 5445, 1287, 1848, 693, 188, 60, 9, 0], [1, 3, 78, 106, 1123, 385, 4444, 924, 4983, 1749, 1518, 858, 133, 71, 8, 0], [1, 3, 78, 107, 1112, 440, 4279, 1254, 4521, 2211, 1188, 1023, 78, 82, 7, 0], [1, 3, 78, 108, 1101, 495, 4114, 1584, 4059, 2673, 858, 1188, 23, 93, 6, 0], [1, 3, 79, 94, 1189, 165, 4939, 132, 5907, 957, 2013, 638, 199, 59, 9, 0], [1, 3, 79, 95, 1178, 220, 4774, 462, 5445, 1419, 1683, 803, 144, 70, 8, 0], [1, 3, 79, 96, 1167, 275, 4609, 792, 4983, 1881, 1353, 968, 89, 81, 7, 0], [1, 3, 79, 97, 1156, 330, 4444, 1122, 4521, 2343, 1023, 1133, 34, 92, 6, 0], [1, 3, 80, 84, 1233, 55, 5104, 0, 5907, 1089, 1848, 748, 155, 69, 8, 0], [1, 3, 80, 85, 1222, 110, 4939, 330, 5445, 1551, 1518, 913, 100, 80, 7, 0], [1, 3, 80, 86, 1211, 165, 4774, 660, 4983, 2013, 1188, 1078, 45, 91, 6, 0], [1, 3, 81, 75, 1266, 0, 5104, 198, 5445, 1683, 1353, 1023, 56, 90, 6, 0], [1, 3, 81, 76, 1255, 55, 4939, 528, 4983, 2145, 1023, 1188, 1, 101, 5, 0], [1, 4, 48, 355, 76, 3047, 77, 5544, 2145, 2178, 2354, 99, 418, 35, 1, 2], [1, 4, 49, 344, 131, 2882, 407, 5082, 2607, 1848, 2519, 44, 429, 34, 1, 2], [1, 4, 49, 345, 120, 2937, 242, 5412, 2145, 2310, 2189, 209, 374, 45, 0, 2], [1, 4, 49, 346, 110, 2981, 132, 5577, 2013, 2310, 2321, 44, 484, 1, 10, 1], [1, 4, 50, 334, 175, 2772, 572, 4950, 2607, 1980, 2354, 154, 385, 44, 0, 2], [1, 4, 50, 336, 154, 2871, 297, 5445, 2013, 2442, 2156, 154, 440, 11, 9, 1], [1, 4, 50, 337, 143, 2926, 132, 5775, 1551, 2904, 1826, 319, 385, 22, 8, 1], [1, 4, 51, 323, 230, 2607, 902, 4488, 3069, 1650, 2519, 99, 396, 43, 0, 2], [1, 4, 51, 325, 209, 2706, 627, 4983, 2475, 2112, 2321, 99, 451, 10, 9, 1], [1, 4, 51, 326, 198, 2761, 462, 5313, 2013, 2574, 1991, 264, 396, 21, 8, 1], [1, 4, 51, 327, 187, 2816, 297, 5643, 1551, 3036, 1661, 429, 341, 32, 7, 1], [1, 4, 51, 328, 176, 2871, 132, 5973, 1089, 3498, 1331, 594, 286, 43, 6, 1], [1, 4, 52, 312, 285, 2442, 1232, 4026, 3531, 1320, 2684, 44, 407, 42, 0, 2], [1, 4, 52, 314, 264, 2541, 957, 4521, 2937, 1782, 2486, 44, 462, 9, 9, 1], [1, 4, 52, 315, 253, 2596, 792, 4851, 2475, 2244, 2156, 209, 407, 20, 8, 1], [1, 4, 52, 316, 242, 2651, 627, 5181, 2013, 2706, 1826, 374, 352, 31, 7, 1], [1, 4, 52, 317, 231, 2706, 462, 5511, 1551, 3168, 1496, 539, 297, 42, 6, 1], [1, 4, 52, 318, 220, 2761, 297, 5841, 1089, 3630, 1166, 704, 242, 53, 5, 1], [1, 4, 52, 319, 209, 2816, 132, 6171, 627, 4092, 836, 869, 187, 64, 4, 1], [1, 4, 52, 319, 210, 2805, 187, 6006, 957, 3630, 1298, 539, 352, 9, 15, 0], [1, 4, 52, 320, 199, 2860, 22, 6336, 495, 4092, 968, 704, 297, 20, 14, 0], [1, 4, 53, 304, 308, 2431, 1122, 4389, 2937, 1914, 2321, 154, 418, 19, 8, 1], [1, 4, 53, 305, 297, 2486, 957, 4719, 2475, 2376, 1991, 319, 363, 30, 7, 1], [1, 4, 53, 306, 286, 2541, 792, 5049, 2013, 2838, 1661, 484, 308, 41, 6, 1], [1, 4, 53, 307, 275, 2596, 627, 5379, 1551, 3300, 1331, 649, 253, 52, 5, 1], [1, 4, 53, 308, 264, 2651, 462, 5709, 1089, 3762, 1001, 814, 198, 63, 4, 1], [1, 4, 53, 308, 265, 2640, 517, 5544, 1419, 3300, 1463, 484, 363, 8, 15, 0], [1, 4, 53, 309, 253, 2706, 297, 6039, 627, 4224, 671, 979, 143, 74, 3, 1], [1, 4, 53, 309, 254, 2695, 352, 5874, 957, 3762, 1133, 649, 308, 19, 14, 0], [1, 4, 53, 310, 242, 2761, 132, 6369, 165, 4686, 341, 1144, 88, 85, 2, 1], [1, 4, 53, 310, 243, 2750, 187, 6204, 495, 4224, 803, 814, 253, 30, 13, 0], [1, 4, 53, 311, 232, 2805, 22, 6534, 33, 4686, 473, 979, 198, 41, 12, 0], [1, 4, 54, 293, 363, 2266, 1452, 3927, 3399, 1584, 2486, 99, 429, 18, 8, 1], [1, 4, 54, 294, 352, 2321, 1287, 4257, 2937, 2046, 2156, 264, 374, 29, 7, 1], [1, 4, 54, 295, 341, 2376, 1122, 4587, 2475, 2508, 1826, 429, 319, 40, 6, 1], [1, 4, 54, 296, 330, 2431, 957, 4917, 2013, 2970, 1496, 594, 264, 51, 5, 1], [1, 4, 54, 297, 319, 2486, 792, 5247, 1551, 3432, 1166, 759, 209, 62, 4, 1], [1, 4, 54, 297, 320, 2475, 847, 5082, 1881, 2970, 1628, 429, 374, 7, 15, 0], [1, 4, 54, 298, 308, 2541, 627, 5577, 1089, 3894, 836, 924, 154, 73, 3, 1], [1, 4, 54, 298, 309, 2530, 682, 5412, 1419, 3432, 1298, 594, 319, 18, 14, 0], [1, 4, 54, 299, 297, 2596, 462, 5907, 627, 4356, 506, 1089, 99, 84, 2, 1], [1, 4, 54, 299, 298, 2585, 517, 5742, 957, 3894, 968, 759, 264, 29, 13, 0], [1, 4, 54, 300, 286, 2651, 297, 6237, 165, 4818, 176, 1254, 44, 95, 1, 1], [1, 4, 54, 300, 287, 2640, 352, 6072, 495, 4356, 638, 924, 209, 40, 12, 0], [1, 4, 54, 301, 276, 2695, 187, 6402, 33, 4818, 308, 1089, 154, 51, 11, 0], [1, 4, 55, 282, 418, 2101, 1782, 3465, 3861, 1254, 2651, 44, 440, 17, 8, 1], [1, 4, 55, 283, 407, 2156, 1617, 3795, 3399, 1716, 2321, 209, 385, 28, 7, 1], [1, 4, 55, 284, 396, 2211, 1452, 4125, 2937, 2178, 1991, 374, 330, 39, 6, 1], [1, 4, 55, 285, 385, 2266, 1287, 4455, 2475, 2640, 1661, 539, 275, 50, 5, 1], [1, 4, 55, 286, 374, 2321, 1122, 4785, 2013, 3102, 1331, 704, 220, 61, 4, 1], [1, 4, 55, 286, 375, 2310, 1177, 4620, 2343, 2640, 1793, 374, 385, 6, 15, 0], [1, 4, 55, 287, 363, 2376, 957, 5115, 1551, 3564, 1001, 869, 165, 72, 3, 1], [1, 4, 55, 287, 364, 2365, 1012, 4950, 1881, 3102, 1463, 539, 330, 17, 14, 0], [1, 4, 55, 288, 352, 2431, 792, 5445, 1089, 4026, 671, 1034, 110, 83, 2, 1], [1, 4, 55, 288, 353, 2420, 847, 5280, 1419, 3564, 1133, 704, 275, 28, 13, 0], [1, 4, 55, 289, 341, 2486, 627, 5775, 627, 4488, 341, 1199, 55, 94, 1, 1], [1, 4, 55, 289, 342, 2475, 682, 5610, 957, 4026, 803, 869, 220, 39, 12, 0], [1, 4, 55, 290, 330, 2541, 462, 6105, 165, 4950, 11, 1364, 0, 105, 0, 1], [1, 4, 55, 290, 331, 2530, 517, 5940, 495, 4488, 473, 1034, 165, 50, 11, 0], [1, 4, 55, 291, 320, 2585, 352, 6270, 33, 4950, 143, 1199, 110, 61, 10, 0], [1, 4, 56, 272, 462, 1991, 1947, 3333, 3861, 1386, 2486, 154, 396, 27, 7, 1], [1, 4, 56, 273, 451, 2046, 1782, 3663, 3399, 1848, 2156, 319, 341, 38, 6, 1], [1, 4, 56, 274, 440, 2101, 1617, 3993, 2937, 2310, 1826, 484, 286, 49, 5, 1], [1, 4, 56, 275, 429, 2156, 1452, 4323, 2475, 2772, 1496, 649, 231, 60, 4, 1], [1, 4, 56, 275, 430, 2145, 1507, 4158, 2805, 2310, 1958, 319, 396, 5, 15, 0], [1, 4, 56, 276, 418, 2211, 1287, 4653, 2013, 3234, 1166, 814, 176, 71, 3, 1], [1, 4, 56, 276, 419, 2200, 1342, 4488, 2343, 2772, 1628, 484, 341, 16, 14, 0], [1, 4, 56, 277, 407, 2266, 1122, 4983, 1551, 3696, 836, 979, 121, 82, 2, 1], [1, 4, 56, 277, 408, 2255, 1177, 4818, 1881, 3234, 1298, 649, 286, 27, 13, 0], [1, 4, 56, 278, 396, 2321, 957, 5313, 1089, 4158, 506, 1144, 66, 93, 1, 1], [1, 4, 56, 278, 397, 2310, 1012, 5148, 1419, 3696, 968, 814, 231, 38, 12, 0], [1, 4, 56, 279, 385, 2376, 792, 5643, 627, 4620, 176, 1309, 11, 104, 0, 1], [1, 4, 56, 279, 386, 2365, 847, 5478, 957, 4158, 638, 979, 176, 49, 11, 0], [1, 4, 56, 280, 375, 2420, 682, 5808, 495, 4620, 308, 1144, 121, 60, 10, 0], [1, 4, 57, 261, 517, 1826, 2277, 2871, 4323, 1056, 2651, 99, 407, 26, 7, 1], [1, 4, 57, 262, 506, 1881, 2112, 3201, 3861, 1518, 2321, 264, 352, 37, 6, 1], [1, 4, 57, 263, 495, 1936, 1947, 3531, 3399, 1980, 1991, 429, 297, 48, 5, 1], [1, 4, 57, 264, 484, 1991, 1782, 3861, 2937, 2442, 1661, 594, 242, 59, 4, 1], [1, 4, 57, 264, 485, 1980, 1837, 3696, 3267, 1980, 2123, 264, 407, 4, 15, 0], [1, 4, 57, 265, 473, 2046, 1617, 4191, 2475, 2904, 1331, 759, 187, 70, 3, 1], [1, 4, 57, 265, 474, 2035, 1672, 4026, 2805, 2442, 1793, 429, 352, 15, 14, 0], [1, 4, 57, 266, 462, 2101, 1452, 4521, 2013, 3366, 1001, 924, 132, 81, 2, 1], [1, 4, 57, 266, 463, 2090, 1507, 4356, 2343, 2904, 1463, 594, 297, 26, 13, 0], [1, 4, 57, 267, 451, 2156, 1287, 4851, 1551, 3828, 671, 1089, 77, 92, 1, 1], [1, 4, 57, 267, 452, 2145, 1342, 4686, 1881, 3366, 1133, 759, 242, 37, 12, 0], [1, 4, 57, 268, 440, 2211, 1122, 5181, 1089, 4290, 341, 1254, 22, 103, 0, 1], [1, 4, 57, 268, 441, 2200, 1177, 5016, 1419, 3828, 803, 924, 187, 48, 11, 0], [1, 4, 57, 269, 430, 2255, 1012, 5346, 957, 4290, 473, 1089, 132, 59, 10, 0], [1, 4, 57, 270, 419, 2310, 847, 5676, 495, 4752, 143, 1254, 77, 70, 9, 0], [1, 4, 58, 250, 572, 1661, 2607, 2409, 4785, 726, 2816, 44, 418, 25, 7, 1], [1, 4, 58, 251, 561, 1716, 2442, 2739, 4323, 1188, 2486, 209, 363, 36, 6, 1], [1, 4, 58, 252, 550, 1771, 2277, 3069, 3861, 1650, 2156, 374, 308, 47, 5, 1], [1, 4, 58, 253, 539, 1826, 2112, 3399, 3399, 2112, 1826, 539, 253, 58, 4, 1], [1, 4, 58, 253, 540, 1815, 2167, 3234, 3729, 1650, 2288, 209, 418, 3, 15, 0], [1, 4, 58, 254, 528, 1881, 1947, 3729, 2937, 2574, 1496, 704, 198, 69, 3, 1], [1, 4, 58, 254, 529, 1870, 2002, 3564, 3267, 2112, 1958, 374, 363, 14, 14, 0], [1, 4, 58, 255, 517, 1936, 1782, 4059, 2475, 3036, 1166, 869, 143, 80, 2, 1], [1, 4, 58, 255, 518, 1925, 1837, 3894, 2805, 2574, 1628, 539, 308, 25, 13, 0], [1, 4, 58, 256, 506, 1991, 1617, 4389, 2013, 3498, 836, 1034, 88, 91, 1, 1], [1, 4, 58, 256, 507, 1980, 1672, 4224, 2343, 3036, 1298, 704, 253, 36, 12, 0], [1, 4, 58, 257, 495, 2046, 1452, 4719, 1551, 3960, 506, 1199, 33, 102, 0, 1], [1, 4, 58, 257, 496, 2035, 1507, 4554, 1881, 3498, 968, 869, 198, 47, 11, 0], [1, 4, 58, 258, 485, 2090, 1342, 4884, 1419, 3960, 638, 1034, 143, 58, 10, 0], [1, 4, 58, 259, 474, 2145, 1177, 5214, 957, 4422, 308, 1199, 88, 69, 9, 0], [1, 4, 59, 240, 616, 1551, 2772, 2277, 4785, 858, 2651, 154, 374, 35, 6, 1], [1, 4, 59, 241, 605, 1606, 2607, 2607, 4323, 1320, 2321, 319, 319, 46, 5, 1], [1, 4, 59, 242, 594, 1661, 2442, 2937, 3861, 1782, 1991, 484, 264, 57, 4, 1], [1, 4, 59, 242, 595, 1650, 2497, 2772, 4191, 1320, 2453, 154, 429, 2, 15, 0], [1, 4, 59, 243, 583, 1716, 2277, 3267, 3399, 2244, 1661, 649, 209, 68, 3, 1], [1, 4, 59, 243, 584, 1705, 2332, 3102, 3729, 1782, 2123, 319, 374, 13, 14, 0], [1, 4, 59, 244, 572, 1771, 2112, 3597, 2937, 2706, 1331, 814, 154, 79, 2, 1], [1, 4, 59, 244, 573, 1760, 2167, 3432, 3267, 2244, 1793, 484, 319, 24, 13, 0], [1, 4, 59, 245, 561, 1826, 1947, 3927, 2475, 3168, 1001, 979, 99, 90, 1, 1], [1, 4, 59, 245, 562, 1815, 2002, 3762, 2805, 2706, 1463, 649, 264, 35, 12, 0], [1, 4, 59, 246, 550, 1881, 1782, 4257, 2013, 3630, 671, 1144, 44, 101, 0, 1], [1, 4, 59, 246, 551, 1870, 1837, 4092, 2343, 3168, 1133, 814, 209, 46, 11, 0], [1, 4, 59, 247, 540, 1925, 1672, 4422, 1881, 3630, 803, 979, 154, 57, 10, 0], [1, 4, 59, 248, 529, 1980, 1507, 4752, 1419, 4092, 473, 1144, 99, 68, 9, 0], [1, 4, 59, 249, 518, 2035, 1342, 5082, 957, 4554, 143, 1309, 44, 79, 8, 0], [1, 4, 60, 229, 671, 1386, 3102, 1815, 5247, 528, 2816, 99, 385, 34, 6, 1], [1, 4, 60, 230, 660, 1441, 2937, 2145, 4785, 990, 2486, 264, 330, 45, 5, 1], [1, 4, 60, 231, 649, 1496, 2772, 2475, 4323, 1452, 2156, 429, 275, 56, 4, 1], [1, 4, 60, 231, 650, 1485, 2827, 2310, 4653, 990, 2618, 99, 440, 1, 15, 0], [1, 4, 60, 232, 638, 1551, 2607, 2805, 3861, 1914, 1826, 594, 220, 67, 3, 1], [1, 4, 60, 232, 639, 1540, 2662, 2640, 4191, 1452, 2288, 264, 385, 12, 14, 0], [1, 4, 60, 233, 627, 1606, 2442, 3135, 3399, 2376, 1496, 759, 165, 78, 2, 1], [1, 4, 60, 233, 628, 1595, 2497, 2970, 3729, 1914, 1958, 429, 330, 23, 13, 0], [1, 4, 60, 234, 616, 1661, 2277, 3465, 2937, 2838, 1166, 924, 110, 89, 1, 1], [1, 4, 60, 234, 617, 1650, 2332, 3300, 3267, 2376, 1628, 594, 275, 34, 12, 0], [1, 4, 60, 235, 605, 1716, 2112, 3795, 2475, 3300, 836, 1089, 55, 100, 0, 1], [1, 4, 60, 235, 606, 1705, 2167, 3630, 2805, 2838, 1298, 759, 220, 45, 11, 0], [1, 4, 60, 236, 595, 1760, 2002, 3960, 2343, 3300, 968, 924, 165, 56, 10, 0], [1, 4, 60, 237, 584, 1815, 1837, 4290, 1881, 3762, 638, 1089, 110, 67, 9, 0], [1, 4, 60, 238, 573, 1870, 1672, 4620, 1419, 4224, 308, 1254, 55, 78, 8, 0], [1, 4, 61, 218, 726, 1221, 3432, 1353, 5709, 198, 2981, 44, 396, 33, 6, 1], [1, 4, 61, 219, 715, 1276, 3267, 1683, 5247, 660, 2651, 209, 341, 44, 5, 1], [1, 4, 61, 220, 704, 1331, 3102, 2013, 4785, 1122, 2321, 374, 286, 55, 4, 1], [1, 4, 61, 220, 705, 1320, 3157, 1848, 5115, 660, 2783, 44, 451, 0, 15, 0], [1, 4, 61, 221, 693, 1386, 2937, 2343, 4323, 1584, 1991, 539, 231, 66, 3, 1], [1, 4, 61, 221, 694, 1375, 2992, 2178, 4653, 1122, 2453, 209, 396, 11, 14, 0], [1, 4, 61, 222, 682, 1441, 2772, 2673, 3861, 2046, 1661, 704, 176, 77, 2, 1], [1, 4, 61, 222, 683, 1430, 2827, 2508, 4191, 1584, 2123, 374, 341, 22, 13, 0], [1, 4, 61, 223, 671, 1496, 2607, 3003, 3399, 2508, 1331, 869, 121, 88, 1, 1], [1, 4, 61, 223, 672, 1485, 2662, 2838, 3729, 2046, 1793, 539, 286, 33, 12, 0], [1, 4, 61, 224, 660, 1551, 2442, 3333, 2937, 2970, 1001, 1034, 66, 99, 0, 1], [1, 4, 61, 224, 661, 1540, 2497, 3168, 3267, 2508, 1463, 704, 231, 44, 11, 0], [1, 4, 61, 225, 650, 1595, 2332, 3498, 2805, 2970, 1133, 869, 176, 55, 10, 0], [1, 4, 61, 226, 639, 1650, 2167, 3828, 2343, 3432, 803, 1034, 121, 66, 9, 0], [1, 4, 61, 227, 628, 1705, 2002, 4158, 1881, 3894, 473, 1199, 66, 77, 8, 0], [1, 4, 61, 228, 617, 1760, 1837, 4488, 1419, 4356, 143, 1364, 11, 88, 7, 0], [1, 4, 62, 208, 770, 1111, 3597, 1221, 5709, 330, 2816, 154, 352, 43, 5, 1], [1, 4, 62, 209, 759, 1166, 3432, 1551, 5247, 792, 2486, 319, 297, 54, 4, 1], [1, 4, 62, 210, 748, 1221, 3267, 1881, 4785, 1254, 2156, 484, 242, 65, 3, 1], [1, 4, 62, 210, 749, 1210, 3322, 1716, 5115, 792, 2618, 154, 407, 10, 14, 0], [1, 4, 62, 211, 737, 1276, 3102, 2211, 4323, 1716, 1826, 649, 187, 76, 2, 1], [1, 4, 62, 211, 738, 1265, 3157, 2046, 4653, 1254, 2288, 319, 352, 21, 13, 0], [1, 4, 62, 212, 726, 1331, 2937, 2541, 3861, 2178, 1496, 814, 132, 87, 1, 1], [1, 4, 62, 212, 727, 1320, 2992, 2376, 4191, 1716, 1958, 484, 297, 32, 12, 0], [1, 4, 62, 213, 715, 1386, 2772, 2871, 3399, 2640, 1166, 979, 77, 98, 0, 1], [1, 4, 62, 213, 716, 1375, 2827, 2706, 3729, 2178, 1628, 649, 242, 43, 11, 0], [1, 4, 62, 214, 705, 1430, 2662, 3036, 3267, 2640, 1298, 814, 187, 54, 10, 0], [1, 4, 62, 215, 694, 1485, 2497, 3366, 2805, 3102, 968, 979, 132, 65, 9, 0], [1, 4, 62, 216, 683, 1540, 2332, 3696, 2343, 3564, 638, 1144, 77, 76, 8, 0], [1, 4, 62, 217, 672, 1595, 2167, 4026, 1881, 4026, 308, 1309, 22, 87, 7, 0], [1, 4, 63, 197, 825, 946, 3927, 759, 6171, 0, 2981, 99, 363, 42, 5, 1], [1, 4, 63, 198, 814, 1001, 3762, 1089, 5709, 462, 2651, 264, 308, 53, 4, 1], [1, 4, 63, 199, 803, 1056, 3597, 1419, 5247, 924, 2321, 429, 253, 64, 3, 1], [1, 4, 63, 199, 804, 1045, 3652, 1254, 5577, 462, 2783, 99, 418, 9, 14, 0], [1, 4, 63, 200, 792, 1111, 3432, 1749, 4785, 1386, 1991, 594, 198, 75, 2, 1], [1, 4, 63, 200, 793, 1100, 3487, 1584, 5115, 924, 2453, 264, 363, 20, 13, 0], [1, 4, 63, 201, 781, 1166, 3267, 2079, 4323, 1848, 1661, 759, 143, 86, 1, 1], [1, 4, 63, 201, 782, 1155, 3322, 1914, 4653, 1386, 2123, 429, 308, 31, 12, 0], [1, 4, 63, 202, 770, 1221, 3102, 2409, 3861, 2310, 1331, 924, 88, 97, 0, 1], [1, 4, 63, 202, 771, 1210, 3157, 2244, 4191, 1848, 1793, 594, 253, 42, 11, 0], [1, 4, 63, 203, 760, 1265, 2992, 2574, 3729, 2310, 1463, 759, 198, 53, 10, 0], [1, 4, 63, 204, 749, 1320, 2827, 2904, 3267, 2772, 1133, 924, 143, 64, 9, 0], [1, 4, 63, 205, 738, 1375, 2662, 3234, 2805, 3234, 803, 1089, 88, 75, 8, 0], [1, 4, 63, 206, 727, 1430, 2497, 3564, 2343, 3696, 473, 1254, 33, 86, 7, 0], [1, 4, 64, 187, 869, 836, 4092, 627, 6171, 132, 2816, 209, 319, 52, 4, 1], [1, 4, 64, 188, 858, 891, 3927, 957, 5709, 594, 2486, 374, 264, 63, 3, 1], [1, 4, 64, 188, 859, 880, 3982, 792, 6039, 132, 2948, 44, 429, 8, 14, 0], [1, 4, 64, 189, 847, 946, 3762, 1287, 5247, 1056, 2156, 539, 209, 74, 2, 1], [1, 4, 64, 189, 848, 935, 3817, 1122, 5577, 594, 2618, 209, 374, 19, 13, 0], [1, 4, 64, 190, 836, 1001, 3597, 1617, 4785, 1518, 1826, 704, 154, 85, 1, 1], [1, 4, 64, 190, 837, 990, 3652, 1452, 5115, 1056, 2288, 374, 319, 30, 12, 0], [1, 4, 64, 191, 825, 1056, 3432, 1947, 4323, 1980, 1496, 869, 99, 96, 0, 1], [1, 4, 64, 191, 826, 1045, 3487, 1782, 4653, 1518, 1958, 539, 264, 41, 11, 0], [1, 4, 64, 192, 815, 1100, 3322, 2112, 4191, 1980, 1628, 704, 209, 52, 10, 0], [1, 4, 64, 193, 804, 1155, 3157, 2442, 3729, 2442, 1298, 869, 154, 63, 9, 0], [1, 4, 64, 194, 793, 1210, 2992, 2772, 3267, 2904, 968, 1034, 99, 74, 8, 0], [1, 4, 64, 195, 782, 1265, 2827, 3102, 2805, 3366, 638, 1199, 44, 85, 7, 0], [1, 4, 65, 177, 913, 726, 4257, 495, 6171, 264, 2651, 319, 275, 62, 3, 1], [1, 4, 65, 178, 902, 781, 4092, 825, 5709, 726, 2321, 484, 220, 73, 2, 1], [1, 4, 65, 178, 903, 770, 4147, 660, 6039, 264, 2783, 154, 385, 18, 13, 0], [1, 4, 65, 179, 891, 836, 3927, 1155, 5247, 1188, 1991, 649, 165, 84, 1, 1], [1, 4, 65, 179, 892, 825, 3982, 990, 5577, 726, 2453, 319, 330, 29, 12, 0], [1, 4, 65, 180, 880, 891, 3762, 1485, 4785, 1650, 1661, 814, 110, 95, 0, 1], [1, 4, 65, 180, 881, 880, 3817, 1320, 5115, 1188, 2123, 484, 275, 40, 11, 0], [1, 4, 65, 181, 870, 935, 3652, 1650, 4653, 1650, 1793, 649, 220, 51, 10, 0], [1, 4, 65, 182, 859, 990, 3487, 1980, 4191, 2112, 1463, 814, 165, 62, 9, 0], [1, 4, 65, 183, 848, 1045, 3322, 2310, 3729, 2574, 1133, 979, 110, 73, 8, 0], [1, 4, 65, 184, 837, 1100, 3157, 2640, 3267, 3036, 803, 1144, 55, 84, 7, 0], [1, 4, 65, 185, 826, 1155, 2992, 2970, 2805, 3498, 473, 1309, 0, 95, 6, 0], [1, 4, 66, 167, 957, 616, 4422, 363, 6171, 396, 2486, 429, 231, 72, 2, 1], [1, 4, 66, 168, 946, 671, 4257, 693, 5709, 858, 2156, 594, 176, 83, 1, 1], [1, 4, 66, 168, 947, 660, 4312, 528, 6039, 396, 2618, 264, 341, 28, 12, 0], [1, 4, 66, 169, 935, 726, 4092, 1023, 5247, 1320, 1826, 759, 121, 94, 0, 1], [1, 4, 66, 169, 936, 715, 4147, 858, 5577, 858, 2288, 429, 286, 39, 11, 0], [1, 4, 66, 170, 925, 770, 3982, 1188, 5115, 1320, 1958, 594, 231, 50, 10, 0], [1, 4, 66, 171, 914, 825, 3817, 1518, 4653, 1782, 1628, 759, 176, 61, 9, 0], [1, 4, 66, 172, 903, 880, 3652, 1848, 4191, 2244, 1298, 924, 121, 72, 8, 0], [1, 4, 66, 173, 892, 935, 3487, 2178, 3729, 2706, 968, 1089, 66, 83, 7, 0], [1, 4, 66, 174, 881, 990, 3322, 2508, 3267, 3168, 638, 1254, 11, 94, 6, 0], [1, 4, 67, 157, 1001, 506, 4587, 231, 6171, 528, 2321, 539, 187, 82, 1, 1], [1, 4, 67, 157, 1002, 495, 4642, 66, 6501, 66, 2783, 209, 352, 27, 12, 0], [1, 4, 67, 158, 990, 561, 4422, 561, 5709, 990, 1991, 704, 132, 93, 0, 1], [1, 4, 67, 158, 991, 550, 4477, 396, 6039, 528, 2453, 374, 297, 38, 11, 0], [1, 4, 67, 159, 980, 605, 4312, 726, 5577, 990, 2123, 539, 242, 49, 10, 0], [1, 4, 67, 160, 969, 660, 4147, 1056, 5115, 1452, 1793, 704, 187, 60, 9, 0], [1, 4, 67, 161, 958, 715, 3982, 1386, 4653, 1914, 1463, 869, 132, 71, 8, 0], [1, 4, 67, 162, 947, 770, 3817, 1716, 4191, 2376, 1133, 1034, 77, 82, 7, 0], [1, 4, 67, 163, 936, 825, 3652, 2046, 3729, 2838, 803, 1199, 22, 93, 6, 0], [1, 4, 68, 147, 1045, 396, 4752, 99, 6171, 660, 2156, 649, 143, 92, 0, 1], [1, 4, 68, 148, 1035, 440, 4642, 264, 6039, 660, 2288, 484, 253, 48, 10, 0], [1, 4, 68, 149, 1024, 495, 4477, 594, 5577, 1122, 1958, 649, 198, 59, 9, 0], [1, 4, 68, 150, 1013, 550, 4312, 924, 5115, 1584, 1628, 814, 143, 70, 8, 0], [1, 4, 68, 151, 1002, 605, 4147, 1254, 4653, 2046, 1298, 979, 88, 81, 7, 0], [1, 4, 68, 152, 991, 660, 3982, 1584, 4191, 2508, 968, 1144, 33, 92, 6, 0], [1, 4, 69, 138, 1079, 330, 4807, 132, 6039, 792, 2123, 594, 209, 58, 9, 0], [1, 4, 69, 139, 1068, 385, 4642, 462, 5577, 1254, 1793, 759, 154, 69, 8, 0], [1, 4, 69, 140, 1057, 440, 4477, 792, 5115, 1716, 1463, 924, 99, 80, 7, 0], [1, 4, 69, 141, 1046, 495, 4312, 1122, 4653, 2178, 1133, 1089, 44, 91, 6, 0], [1, 4, 70, 128, 1123, 220, 4972, 0, 6039, 924, 1958, 704, 165, 68, 8, 0], [1, 4, 70, 129, 1112, 275, 4807, 330, 5577, 1386, 1628, 869, 110, 79, 7, 0], [1, 4, 70, 130, 1101, 330, 4642, 660, 5115, 1848, 1298, 1034, 55, 90, 6, 0], [1, 4, 70, 131, 1090, 385, 4477, 990, 4653, 2310, 968, 1199, 0, 101, 5, 0], [1, 4, 71, 119, 1156, 165, 4972, 198, 5577, 1518, 1463, 979, 66, 89, 6, 0], [1, 4, 71, 120, 1145, 220, 4807, 528, 5115, 1980, 1133, 1144, 11, 100, 5, 0], [1, 4, 72, 109, 1200, 55, 5137, 66, 5577, 1650, 1298, 1089, 22, 99, 5, 0], [1, 5, 39, 388, 21, 3047, 275, 5082, 2739, 1683, 2629, 0, 439, 33, 1, 2], [1, 5, 39, 389, 10, 3102, 110, 5412, 2277, 2145, 2299, 165, 384, 44, 0, 2], [1, 5, 39, 390, 0, 3146, 0, 5577, 2145, 2145, 2431, 0, 494, 0, 10, 1], [1, 5, 40, 378, 65, 2937, 440, 4950, 2739, 1815, 2464, 110, 395, 43, 0, 2], [1, 5, 40, 380, 44, 3036, 165, 5445, 2145, 2277, 2266, 110, 450, 10, 9, 1], [1, 5, 40, 381, 33, 3091, 0, 5775, 1683, 2739, 1936, 275, 395, 21, 8, 1], [1, 5, 41, 367, 120, 2772, 770, 4488, 3201, 1485, 2629, 55, 406, 42, 0, 2], [1, 5, 41, 369, 99, 2871, 495, 4983, 2607, 1947, 2431, 55, 461, 9, 9, 1], [1, 5, 41, 370, 88, 2926, 330, 5313, 2145, 2409, 2101, 220, 406, 20, 8, 1], [1, 5, 41, 371, 77, 2981, 165, 5643, 1683, 2871, 1771, 385, 351, 31, 7, 1], [1, 5, 41, 372, 66, 3036, 0, 5973, 1221, 3333, 1441, 550, 296, 42, 6, 1], [1, 5, 42, 356, 175, 2607, 1100, 4026, 3663, 1155, 2794, 0, 417, 41, 0, 2], [1, 5, 42, 358, 154, 2706, 825, 4521, 3069, 1617, 2596, 0, 472, 8, 9, 1], [1, 5, 42, 359, 143, 2761, 660, 4851, 2607, 2079, 2266, 165, 417, 19, 8, 1], [1, 5, 42, 360, 132, 2816, 495, 5181, 2145, 2541, 1936, 330, 362, 30, 7, 1], [1, 5, 42, 361, 121, 2871, 330, 5511, 1683, 3003, 1606, 495, 307, 41, 6, 1], [1, 5, 42, 362, 110, 2926, 165, 5841, 1221, 3465, 1276, 660, 252, 52, 5, 1], [1, 5, 42, 363, 99, 2981, 0, 6171, 759, 3927, 946, 825, 197, 63, 4, 1], [1, 5, 42, 363, 100, 2970, 55, 6006, 1089, 3465, 1408, 495, 362, 8, 15, 0], [1, 5, 43, 348, 198, 2596, 990, 4389, 3069, 1749, 2431, 110, 428, 18, 8, 1], [1, 5, 43, 349, 187, 2651, 825, 4719, 2607, 2211, 2101, 275, 373, 29, 7, 1], [1, 5, 43, 350, 176, 2706, 660, 5049, 2145, 2673, 1771, 440, 318, 40, 6, 1], [1, 5, 43, 351, 165, 2761, 495, 5379, 1683, 3135, 1441, 605, 263, 51, 5, 1], [1, 5, 43, 352, 154, 2816, 330, 5709, 1221, 3597, 1111, 770, 208, 62, 4, 1], [1, 5, 43, 352, 155, 2805, 385, 5544, 1551, 3135, 1573, 440, 373, 7, 15, 0], [1, 5, 43, 353, 143, 2871, 165, 6039, 759, 4059, 781, 935, 153, 73, 3, 1], [1, 5, 43, 353, 144, 2860, 220, 5874, 1089, 3597, 1243, 605, 318, 18, 14, 0], [1, 5, 43, 354, 132, 2926, 0, 6369, 297, 4521, 451, 1100, 98, 84, 2, 1], [1, 5, 43, 354, 133, 2915, 55, 6204, 627, 4059, 913, 770, 263, 29, 13, 0], [1, 5, 44, 337, 253, 2431, 1320, 3927, 3531, 1419, 2596, 55, 439, 17, 8, 1], [1, 5, 44, 338, 242, 2486, 1155, 4257, 3069, 1881, 2266, 220, 384, 28, 7, 1], [1, 5, 44, 339, 231, 2541, 990, 4587, 2607, 2343, 1936, 385, 329, 39, 6, 1], [1, 5, 44, 340, 220, 2596, 825, 4917, 2145, 2805, 1606, 550, 274, 50, 5, 1], [1, 5, 44, 341, 209, 2651, 660, 5247, 1683, 3267, 1276, 715, 219, 61, 4, 1], [1, 5, 44, 341, 210, 2640, 715, 5082, 2013, 2805, 1738, 385, 384, 6, 15, 0], [1, 5, 44, 342, 198, 2706, 495, 5577, 1221, 3729, 946, 880, 164, 72, 3, 1], [1, 5, 44, 342, 199, 2695, 550, 5412, 1551, 3267, 1408, 550, 329, 17, 14, 0], [1, 5, 44, 343, 187, 2761, 330, 5907, 759, 4191, 616, 1045, 109, 83, 2, 1], [1, 5, 44, 343, 188, 2750, 385, 5742, 1089, 3729, 1078, 715, 274, 28, 13, 0], [1, 5, 44, 344, 176, 2816, 165, 6237, 297, 4653, 286, 1210, 54, 94, 1, 1], [1, 5, 44, 344, 177, 2805, 220, 6072, 627, 4191, 748, 880, 219, 39, 12, 0], [1, 5, 44, 345, 166, 2860, 55, 6402, 165, 4653, 418, 1045, 164, 50, 11, 0], [1, 5, 45, 326, 308, 2266, 1650, 3465, 3993, 1089, 2761, 0, 450, 16, 8, 1], [1, 5, 45, 327, 297, 2321, 1485, 3795, 3531, 1551, 2431, 165, 395, 27, 7, 1], [1, 5, 45, 328, 286, 2376, 1320, 4125, 3069, 2013, 2101, 330, 340, 38, 6, 1], [1, 5, 45, 329, 275, 2431, 1155, 4455, 2607, 2475, 1771, 495, 285, 49, 5, 1], [1, 5, 45, 330, 264, 2486, 990, 4785, 2145, 2937, 1441, 660, 230, 60, 4, 1], [1, 5, 45, 330, 265, 2475, 1045, 4620, 2475, 2475, 1903, 330, 395, 5, 15, 0], [1, 5, 45, 331, 253, 2541, 825, 5115, 1683, 3399, 1111, 825, 175, 71, 3, 1], [1, 5, 45, 331, 254, 2530, 880, 4950, 2013, 2937, 1573, 495, 340, 16, 14, 0], [1, 5, 45, 332, 242, 2596, 660, 5445, 1221, 3861, 781, 990, 120, 82, 2, 1], [1, 5, 45, 332, 243, 2585, 715, 5280, 1551, 3399, 1243, 660, 285, 27, 13, 0], [1, 5, 45, 333, 231, 2651, 495, 5775, 759, 4323, 451, 1155, 65, 93, 1, 1], [1, 5, 45, 333, 232, 2640, 550, 5610, 1089, 3861, 913, 825, 230, 38, 12, 0], [1, 5, 45, 334, 220, 2706, 330, 6105, 297, 4785, 121, 1320, 10, 104, 0, 1], [1, 5, 45, 334, 221, 2695, 385, 5940, 627, 4323, 583, 990, 175, 49, 11, 0], [1, 5, 45, 335, 210, 2750, 220, 6270, 165, 4785, 253, 1155, 120, 60, 10, 0], [1, 5, 46, 316, 352, 2156, 1815, 3333, 3993, 1221, 2596, 110, 406, 26, 7, 1], [1, 5, 46, 317, 341, 2211, 1650, 3663, 3531, 1683, 2266, 275, 351, 37, 6, 1], [1, 5, 46, 318, 330, 2266, 1485, 3993, 3069, 2145, 1936, 440, 296, 48, 5, 1], [1, 5, 46, 319, 319, 2321, 1320, 4323, 2607, 2607, 1606, 605, 241, 59, 4, 1], [1, 5, 46, 319, 320, 2310, 1375, 4158, 2937, 2145, 2068, 275, 406, 4, 15, 0], [1, 5, 46, 320, 308, 2376, 1155, 4653, 2145, 3069, 1276, 770, 186, 70, 3, 1], [1, 5, 46, 320, 309, 2365, 1210, 4488, 2475, 2607, 1738, 440, 351, 15, 14, 0], [1, 5, 46, 321, 297, 2431, 990, 4983, 1683, 3531, 946, 935, 131, 81, 2, 1], [1, 5, 46, 321, 298, 2420, 1045, 4818, 2013, 3069, 1408, 605, 296, 26, 13, 0], [1, 5, 46, 322, 286, 2486, 825, 5313, 1221, 3993, 616, 1100, 76, 92, 1, 1], [1, 5, 46, 322, 287, 2475, 880, 5148, 1551, 3531, 1078, 770, 241, 37, 12, 0], [1, 5, 46, 323, 275, 2541, 660, 5643, 759, 4455, 286, 1265, 21, 103, 0, 1], [1, 5, 46, 323, 276, 2530, 715, 5478, 1089, 3993, 748, 935, 186, 48, 11, 0], [1, 5, 46, 324, 265, 2585, 550, 5808, 627, 4455, 418, 1100, 131, 59, 10, 0], [1, 5, 46, 325, 254, 2640, 385, 6138, 165, 4917, 88, 1265, 76, 70, 9, 0], [1, 5, 47, 305, 407, 1991, 2145, 2871, 4455, 891, 2761, 55, 417, 25, 7, 1], [1, 5, 47, 306, 396, 2046, 1980, 3201, 3993, 1353, 2431, 220, 362, 36, 6, 1], [1, 5, 47, 307, 385, 2101, 1815, 3531, 3531, 1815, 2101, 385, 307, 47, 5, 1], [1, 5, 47, 308, 374, 2156, 1650, 3861, 3069, 2277, 1771, 550, 252, 58, 4, 1], [1, 5, 47, 308, 375, 2145, 1705, 3696, 3399, 1815, 2233, 220, 417, 3, 15, 0], [1, 5, 47, 309, 363, 2211, 1485, 4191, 2607, 2739, 1441, 715, 197, 69, 3, 1], [1, 5, 47, 309, 364, 2200, 1540, 4026, 2937, 2277, 1903, 385, 362, 14, 14, 0], [1, 5, 47, 310, 352, 2266, 1320, 4521, 2145, 3201, 1111, 880, 142, 80, 2, 1], [1, 5, 47, 310, 353, 2255, 1375, 4356, 2475, 2739, 1573, 550, 307, 25, 13, 0], [1, 5, 47, 311, 341, 2321, 1155, 4851, 1683, 3663, 781, 1045, 87, 91, 1, 1], [1, 5, 47, 311, 342, 2310, 1210, 4686, 2013, 3201, 1243, 715, 252, 36, 12, 0], [1, 5, 47, 312, 330, 2376, 990, 5181, 1221, 4125, 451, 1210, 32, 102, 0, 1], [1, 5, 47, 312, 331, 2365, 1045, 5016, 1551, 3663, 913, 880, 197, 47, 11, 0], [1, 5, 47, 313, 320, 2420, 880, 5346, 1089, 4125, 583, 1045, 142, 58, 10, 0], [1, 5, 47, 314, 309, 2475, 715, 5676, 627, 4587, 253, 1210, 87, 69, 9, 0], [1, 5, 48, 294, 462, 1826, 2475, 2409, 4917, 561, 2926, 0, 428, 24, 7, 1], [1, 5, 48, 295, 451, 1881, 2310, 2739, 4455, 1023, 2596, 165, 373, 35, 6, 1], [1, 5, 48, 296, 440, 1936, 2145, 3069, 3993, 1485, 2266, 330, 318, 46, 5, 1], [1, 5, 48, 297, 429, 1991, 1980, 3399, 3531, 1947, 1936, 495, 263, 57, 4, 1], [1, 5, 48, 297, 430, 1980, 2035, 3234, 3861, 1485, 2398, 165, 428, 2, 15, 0], [1, 5, 48, 298, 418, 2046, 1815, 3729, 3069, 2409, 1606, 660, 208, 68, 3, 1], [1, 5, 48, 298, 419, 2035, 1870, 3564, 3399, 1947, 2068, 330, 373, 13, 14, 0], [1, 5, 48, 299, 407, 2101, 1650, 4059, 2607, 2871, 1276, 825, 153, 79, 2, 1], [1, 5, 48, 299, 408, 2090, 1705, 3894, 2937, 2409, 1738, 495, 318, 24, 13, 0], [1, 5, 48, 300, 396, 2156, 1485, 4389, 2145, 3333, 946, 990, 98, 90, 1, 1], [1, 5, 48, 300, 397, 2145, 1540, 4224, 2475, 2871, 1408, 660, 263, 35, 12, 0], [1, 5, 48, 301, 385, 2211, 1320, 4719, 1683, 3795, 616, 1155, 43, 101, 0, 1], [1, 5, 48, 301, 386, 2200, 1375, 4554, 2013, 3333, 1078, 825, 208, 46, 11, 0], [1, 5, 48, 302, 375, 2255, 1210, 4884, 1551, 3795, 748, 990, 153, 57, 10, 0], [1, 5, 48, 303, 364, 2310, 1045, 5214, 1089, 4257, 418, 1155, 98, 68, 9, 0], [1, 5, 48, 304, 353, 2365, 880, 5544, 627, 4719, 88, 1320, 43, 79, 8, 0], [1, 5, 49, 284, 506, 1716, 2640, 2277, 4917, 693, 2761, 110, 384, 34, 6, 1], [1, 5, 49, 285, 495, 1771, 2475, 2607, 4455, 1155, 2431, 275, 329, 45, 5, 1], [1, 5, 49, 286, 484, 1826, 2310, 2937, 3993, 1617, 2101, 440, 274, 56, 4, 1], [1, 5, 49, 286, 485, 1815, 2365, 2772, 4323, 1155, 2563, 110, 439, 1, 15, 0], [1, 5, 49, 287, 473, 1881, 2145, 3267, 3531, 2079, 1771, 605, 219, 67, 3, 1], [1, 5, 49, 287, 474, 1870, 2200, 3102, 3861, 1617, 2233, 275, 384, 12, 14, 0], [1, 5, 49, 288, 462, 1936, 1980, 3597, 3069, 2541, 1441, 770, 164, 78, 2, 1], [1, 5, 49, 288, 463, 1925, 2035, 3432, 3399, 2079, 1903, 440, 329, 23, 13, 0], [1, 5, 49, 289, 451, 1991, 1815, 3927, 2607, 3003, 1111, 935, 109, 89, 1, 1], [1, 5, 49, 289, 452, 1980, 1870, 3762, 2937, 2541, 1573, 605, 274, 34, 12, 0], [1, 5, 49, 290, 440, 2046, 1650, 4257, 2145, 3465, 781, 1100, 54, 100, 0, 1], [1, 5, 49, 290, 441, 2035, 1705, 4092, 2475, 3003, 1243, 770, 219, 45, 11, 0], [1, 5, 49, 291, 430, 2090, 1540, 4422, 2013, 3465, 913, 935, 164, 56, 10, 0], [1, 5, 49, 292, 419, 2145, 1375, 4752, 1551, 3927, 583, 1100, 109, 67, 9, 0], [1, 5, 49, 293, 408, 2200, 1210, 5082, 1089, 4389, 253, 1265, 54, 78, 8, 0], [1, 5, 50, 273, 561, 1551, 2970, 1815, 5379, 363, 2926, 55, 395, 33, 6, 1], [1, 5, 50, 274, 550, 1606, 2805, 2145, 4917, 825, 2596, 220, 340, 44, 5, 1], [1, 5, 50, 275, 539, 1661, 2640, 2475, 4455, 1287, 2266, 385, 285, 55, 4, 1], [1, 5, 50, 275, 540, 1650, 2695, 2310, 4785, 825, 2728, 55, 450, 0, 15, 0], [1, 5, 50, 276, 528, 1716, 2475, 2805, 3993, 1749, 1936, 550, 230, 66, 3, 1], [1, 5, 50, 276, 529, 1705, 2530, 2640, 4323, 1287, 2398, 220, 395, 11, 14, 0], [1, 5, 50, 277, 517, 1771, 2310, 3135, 3531, 2211, 1606, 715, 175, 77, 2, 1], [1, 5, 50, 277, 518, 1760, 2365, 2970, 3861, 1749, 2068, 385, 340, 22, 13, 0], [1, 5, 50, 278, 506, 1826, 2145, 3465, 3069, 2673, 1276, 880, 120, 88, 1, 1], [1, 5, 50, 278, 507, 1815, 2200, 3300, 3399, 2211, 1738, 550, 285, 33, 12, 0], [1, 5, 50, 279, 495, 1881, 1980, 3795, 2607, 3135, 946, 1045, 65, 99, 0, 1], [1, 5, 50, 279, 496, 1870, 2035, 3630, 2937, 2673, 1408, 715, 230, 44, 11, 0], [1, 5, 50, 280, 485, 1925, 1870, 3960, 2475, 3135, 1078, 880, 175, 55, 10, 0], [1, 5, 50, 281, 474, 1980, 1705, 4290, 2013, 3597, 748, 1045, 120, 66, 9, 0], [1, 5, 50, 282, 463, 2035, 1540, 4620, 1551, 4059, 418, 1210, 65, 77, 8, 0], [1, 5, 50, 283, 452, 2090, 1375, 4950, 1089, 4521, 88, 1375, 10, 88, 7, 0], [1, 5, 51, 262, 616, 1386, 3300, 1353, 5841, 33, 3091, 0, 406, 32, 6, 1], [1, 5, 51, 263, 605, 1441, 3135, 1683, 5379, 495, 2761, 165, 351, 43, 5, 1], [1, 5, 51, 264, 594, 1496, 2970, 2013, 4917, 957, 2431, 330, 296, 54, 4, 1], [1, 5, 51, 265, 583, 1551, 2805, 2343, 4455, 1419, 2101, 495, 241, 65, 3, 1], [1, 5, 51, 265, 584, 1540, 2860, 2178, 4785, 957, 2563, 165, 406, 10, 14, 0], [1, 5, 51, 266, 572, 1606, 2640, 2673, 3993, 1881, 1771, 660, 186, 76, 2, 1], [1, 5, 51, 266, 573, 1595, 2695, 2508, 4323, 1419, 2233, 330, 351, 21, 13, 0], [1, 5, 51, 267, 561, 1661, 2475, 3003, 3531, 2343, 1441, 825, 131, 87, 1, 1], [1, 5, 51, 267, 562, 1650, 2530, 2838, 3861, 1881, 1903, 495, 296, 32, 12, 0], [1, 5, 51, 268, 550, 1716, 2310, 3333, 3069, 2805, 1111, 990, 76, 98, 0, 1], [1, 5, 51, 268, 551, 1705, 2365, 3168, 3399, 2343, 1573, 660, 241, 43, 11, 0], [1, 5, 51, 269, 540, 1760, 2200, 3498, 2937, 2805, 1243, 825, 186, 54, 10, 0], [1, 5, 51, 270, 529, 1815, 2035, 3828, 2475, 3267, 913, 990, 131, 65, 9, 0], [1, 5, 51, 271, 518, 1870, 1870, 4158, 2013, 3729, 583, 1155, 76, 76, 8, 0], [1, 5, 51, 272, 507, 1925, 1705, 4488, 1551, 4191, 253, 1320, 21, 87, 7, 0], [1, 5, 52, 252, 660, 1276, 3465, 1221, 5841, 165, 2926, 110, 362, 42, 5, 1], [1, 5, 52, 253, 649, 1331, 3300, 1551, 5379, 627, 2596, 275, 307, 53, 4, 1], [1, 5, 52, 254, 638, 1386, 3135, 1881, 4917, 1089, 2266, 440, 252, 64, 3, 1], [1, 5, 52, 254, 639, 1375, 3190, 1716, 5247, 627, 2728, 110, 417, 9, 14, 0], [1, 5, 52, 255, 627, 1441, 2970, 2211, 4455, 1551, 1936, 605, 197, 75, 2, 1], [1, 5, 52, 255, 628, 1430, 3025, 2046, 4785, 1089, 2398, 275, 362, 20, 13, 0], [1, 5, 52, 256, 616, 1496, 2805, 2541, 3993, 2013, 1606, 770, 142, 86, 1, 1], [1, 5, 52, 256, 617, 1485, 2860, 2376, 4323, 1551, 2068, 440, 307, 31, 12, 0], [1, 5, 52, 257, 605, 1551, 2640, 2871, 3531, 2475, 1276, 935, 87, 97, 0, 1], [1, 5, 52, 257, 606, 1540, 2695, 2706, 3861, 2013, 1738, 605, 252, 42, 11, 0], [1, 5, 52, 258, 595, 1595, 2530, 3036, 3399, 2475, 1408, 770, 197, 53, 10, 0], [1, 5, 52, 259, 584, 1650, 2365, 3366, 2937, 2937, 1078, 935, 142, 64, 9, 0], [1, 5, 52, 260, 573, 1705, 2200, 3696, 2475, 3399, 748, 1100, 87, 75, 8, 0], [1, 5, 52, 261, 562, 1760, 2035, 4026, 2013, 3861, 418, 1265, 32, 86, 7, 0], [1, 5, 53, 242, 704, 1166, 3630, 1089, 5841, 297, 2761, 220, 318, 52, 4, 1], [1, 5, 53, 243, 693, 1221, 3465, 1419, 5379, 759, 2431, 385, 263, 63, 3, 1], [1, 5, 53, 243, 694, 1210, 3520, 1254, 5709, 297, 2893, 55, 428, 8, 14, 0], [1, 5, 53, 244, 682, 1276, 3300, 1749, 4917, 1221, 2101, 550, 208, 74, 2, 1], [1, 5, 53, 244, 683, 1265, 3355, 1584, 5247, 759, 2563, 220, 373, 19, 13, 0], [1, 5, 53, 245, 671, 1331, 3135, 2079, 4455, 1683, 1771, 715, 153, 85, 1, 1], [1, 5, 53, 245, 672, 1320, 3190, 1914, 4785, 1221, 2233, 385, 318, 30, 12, 0], [1, 5, 53, 246, 660, 1386, 2970, 2409, 3993, 2145, 1441, 880, 98, 96, 0, 1], [1, 5, 53, 246, 661, 1375, 3025, 2244, 4323, 1683, 1903, 550, 263, 41, 11, 0], [1, 5, 53, 247, 650, 1430, 2860, 2574, 3861, 2145, 1573, 715, 208, 52, 10, 0], [1, 5, 53, 248, 639, 1485, 2695, 2904, 3399, 2607, 1243, 880, 153, 63, 9, 0], [1, 5, 53, 249, 628, 1540, 2530, 3234, 2937, 3069, 913, 1045, 98, 74, 8, 0], [1, 5, 53, 250, 617, 1595, 2365, 3564, 2475, 3531, 583, 1210, 43, 85, 7, 0], [1, 5, 54, 232, 748, 1056, 3795, 957, 5841, 429, 2596, 330, 274, 62, 3, 1], [1, 5, 54, 233, 737, 1111, 3630, 1287, 5379, 891, 2266, 495, 219, 73, 2, 1], [1, 5, 54, 233, 738, 1100, 3685, 1122, 5709, 429, 2728, 165, 384, 18, 13, 0], [1, 5, 54, 234, 726, 1166, 3465, 1617, 4917, 1353, 1936, 660, 164, 84, 1, 1], [1, 5, 54, 234, 727, 1155, 3520, 1452, 5247, 891, 2398, 330, 329, 29, 12, 0], [1, 5, 54, 235, 715, 1221, 3300, 1947, 4455, 1815, 1606, 825, 109, 95, 0, 1], [1, 5, 54, 235, 716, 1210, 3355, 1782, 4785, 1353, 2068, 495, 274, 40, 11, 0], [1, 5, 54, 236, 705, 1265, 3190, 2112, 4323, 1815, 1738, 660, 219, 51, 10, 0], [1, 5, 54, 237, 694, 1320, 3025, 2442, 3861, 2277, 1408, 825, 164, 62, 9, 0], [1, 5, 54, 238, 683, 1375, 2860, 2772, 3399, 2739, 1078, 990, 109, 73, 8, 0], [1, 5, 54, 239, 672, 1430, 2695, 3102, 2937, 3201, 748, 1155, 54, 84, 7, 0], [1, 5, 55, 221, 803, 891, 4125, 495, 6303, 99, 2761, 275, 285, 61, 3, 1], [1, 5, 55, 222, 792, 946, 3960, 825, 5841, 561, 2431, 440, 230, 72, 2, 1], [1, 5, 55, 222, 793, 935, 4015, 660, 6171, 99, 2893, 110, 395, 17, 13, 0], [1, 5, 55, 223, 781, 1001, 3795, 1155, 5379, 1023, 2101, 605, 175, 83, 1, 1], [1, 5, 55, 223, 782, 990, 3850, 990, 5709, 561, 2563, 275, 340, 28, 12, 0], [1, 5, 55, 224, 770, 1056, 3630, 1485, 4917, 1485, 1771, 770, 120, 94, 0, 1], [1, 5, 55, 224, 771, 1045, 3685, 1320, 5247, 1023, 2233, 440, 285, 39, 11, 0], [1, 5, 55, 225, 760, 1100, 3520, 1650, 4785, 1485, 1903, 605, 230, 50, 10, 0], [1, 5, 55, 226, 749, 1155, 3355, 1980, 4323, 1947, 1573, 770, 175, 61, 9, 0], [1, 5, 55, 227, 738, 1210, 3190, 2310, 3861, 2409, 1243, 935, 120, 72, 8, 0], [1, 5, 55, 228, 727, 1265, 3025, 2640, 3399, 2871, 913, 1100, 65, 83, 7, 0], [1, 5, 55, 229, 716, 1320, 2860, 2970, 2937, 3333, 583, 1265, 10, 94, 6, 0], [1, 5, 56, 211, 847, 781, 4290, 363, 6303, 231, 2596, 385, 241, 71, 2, 1], [1, 5, 56, 212, 836, 836, 4125, 693, 5841, 693, 2266, 550, 186, 82, 1, 1], [1, 5, 56, 212, 837, 825, 4180, 528, 6171, 231, 2728, 220, 351, 27, 12, 0], [1, 5, 56, 213, 825, 891, 3960, 1023, 5379, 1155, 1936, 715, 131, 93, 0, 1], [1, 5, 56, 213, 826, 880, 4015, 858, 5709, 693, 2398, 385, 296, 38, 11, 0], [1, 5, 56, 214, 815, 935, 3850, 1188, 5247, 1155, 2068, 550, 241, 49, 10, 0], [1, 5, 56, 215, 804, 990, 3685, 1518, 4785, 1617, 1738, 715, 186, 60, 9, 0], [1, 5, 56, 216, 793, 1045, 3520, 1848, 4323, 2079, 1408, 880, 131, 71, 8, 0], [1, 5, 56, 217, 782, 1100, 3355, 2178, 3861, 2541, 1078, 1045, 76, 82, 7, 0], [1, 5, 56, 218, 771, 1155, 3190, 2508, 3399, 3003, 748, 1210, 21, 93, 6, 0], [1, 5, 57, 201, 891, 671, 4455, 231, 6303, 363, 2431, 495, 197, 81, 1, 1], [1, 5, 57, 202, 880, 726, 4290, 561, 5841, 825, 2101, 660, 142, 92, 0, 1], [1, 5, 57, 202, 881, 715, 4345, 396, 6171, 363, 2563, 330, 307, 37, 11, 0], [1, 5, 57, 203, 870, 770, 4180, 726, 5709, 825, 2233, 495, 252, 48, 10, 0], [1, 5, 57, 204, 859, 825, 4015, 1056, 5247, 1287, 1903, 660, 197, 59, 9, 0], [1, 5, 57, 205, 848, 880, 3850, 1386, 4785, 1749, 1573, 825, 142, 70, 8, 0], [1, 5, 57, 206, 837, 935, 3685, 1716, 4323, 2211, 1243, 990, 87, 81, 7, 0], [1, 5, 57, 207, 826, 990, 3520, 2046, 3861, 2673, 913, 1155, 32, 92, 6, 0], [1, 5, 58, 191, 935, 561, 4620, 99, 6303, 495, 2266, 605, 153, 91, 0, 1], [1, 5, 58, 192, 925, 605, 4510, 264, 6171, 495, 2398, 440, 263, 47, 10, 0], [1, 5, 58, 193, 914, 660, 4345, 594, 5709, 957, 2068, 605, 208, 58, 9, 0], [1, 5, 58, 194, 903, 715, 4180, 924, 5247, 1419, 1738, 770, 153, 69, 8, 0], [1, 5, 58, 195, 892, 770, 4015, 1254, 4785, 1881, 1408, 935, 98, 80, 7, 0], [1, 5, 58, 196, 881, 825, 3850, 1584, 4323, 2343, 1078, 1100, 43, 91, 6, 0], [1, 5, 59, 182, 969, 495, 4675, 132, 6171, 627, 2233, 550, 219, 57, 9, 0], [1, 5, 59, 183, 958, 550, 4510, 462, 5709, 1089, 1903, 715, 164, 68, 8, 0], [1, 5, 59, 184, 947, 605, 4345, 792, 5247, 1551, 1573, 880, 109, 79, 7, 0], [1, 5, 59, 185, 936, 660, 4180, 1122, 4785, 2013, 1243, 1045, 54, 90, 6, 0], [1, 5, 60, 172, 1013, 385, 4840, 0, 6171, 759, 2068, 660, 175, 67, 8, 0], [1, 5, 60, 173, 1002, 440, 4675, 330, 5709, 1221, 1738, 825, 120, 78, 7, 0], [1, 5, 60, 174, 991, 495, 4510, 660, 5247, 1683, 1408, 990, 65, 89, 6, 0], [1, 5, 60, 175, 980, 550, 4345, 990, 4785, 2145, 1078, 1155, 10, 100, 5, 0], [1, 5, 61, 163, 1046, 330, 4840, 198, 5709, 1353, 1573, 935, 76, 88, 6, 0], [1, 5, 61, 164, 1035, 385, 4675, 528, 5247, 1815, 1243, 1100, 21, 99, 5, 0], [1, 5, 62, 153, 1090, 220, 5005, 66, 5709, 1485, 1408, 1045, 32, 98, 5, 0], [1, 6, 31, 411, 10, 2937, 638, 4488, 3333, 1320, 2739, 11, 416, 41, 0, 2], [1, 6, 32, 403, 33, 2926, 528, 4851, 2739, 1914, 2376, 121, 427, 18, 8, 1], [1, 6, 32, 404, 22, 2981, 363, 5181, 2277, 2376, 2046, 286, 372, 29, 7, 1], [1, 6, 32, 405, 11, 3036, 198, 5511, 1815, 2838, 1716, 451, 317, 40, 6, 1], [1, 6, 32, 406, 0, 3091, 33, 5841, 1353, 3300, 1386, 616, 262, 51, 5, 1], [1, 6, 33, 392, 88, 2761, 858, 4389, 3201, 1584, 2541, 66, 438, 17, 8, 1], [1, 6, 33, 393, 77, 2816, 693, 4719, 2739, 2046, 2211, 231, 383, 28, 7, 1], [1, 6, 33, 394, 66, 2871, 528, 5049, 2277, 2508, 1881, 396, 328, 39, 6, 1], [1, 6, 33, 395, 55, 2926, 363, 5379, 1815, 2970, 1551, 561, 273, 50, 5, 1], [1, 6, 33, 396, 44, 2981, 198, 5709, 1353, 3432, 1221, 726, 218, 61, 4, 1], [1, 6, 33, 396, 45, 2970, 253, 5544, 1683, 2970, 1683, 396, 383, 6, 15, 0], [1, 6, 33, 397, 33, 3036, 33, 6039, 891, 3894, 891, 891, 163, 72, 3, 1], [1, 6, 33, 397, 34, 3025, 88, 5874, 1221, 3432, 1353, 561, 328, 17, 14, 0], [1, 6, 34, 381, 143, 2596, 1188, 3927, 3663, 1254, 2706, 11, 449, 16, 8, 1], [1, 6, 34, 382, 132, 2651, 1023, 4257, 3201, 1716, 2376, 176, 394, 27, 7, 1], [1, 6, 34, 383, 121, 2706, 858, 4587, 2739, 2178, 2046, 341, 339, 38, 6, 1], [1, 6, 34, 384, 110, 2761, 693, 4917, 2277, 2640, 1716, 506, 284, 49, 5, 1], [1, 6, 34, 385, 99, 2816, 528, 5247, 1815, 3102, 1386, 671, 229, 60, 4, 1], [1, 6, 34, 385, 100, 2805, 583, 5082, 2145, 2640, 1848, 341, 394, 5, 15, 0], [1, 6, 34, 386, 88, 2871, 363, 5577, 1353, 3564, 1056, 836, 174, 71, 3, 1], [1, 6, 34, 386, 89, 2860, 418, 5412, 1683, 3102, 1518, 506, 339, 16, 14, 0], [1, 6, 34, 387, 77, 2926, 198, 5907, 891, 4026, 726, 1001, 119, 82, 2, 1], [1, 6, 34, 387, 78, 2915, 253, 5742, 1221, 3564, 1188, 671, 284, 27, 13, 0], [1, 6, 34, 388, 66, 2981, 33, 6237, 429, 4488, 396, 1166, 64, 93, 1, 1], [1, 6, 34, 388, 67, 2970, 88, 6072, 759, 4026, 858, 836, 229, 38, 12, 0], [1, 6, 35, 371, 187, 2486, 1353, 3795, 3663, 1386, 2541, 121, 405, 26, 7, 1], [1, 6, 35, 372, 176, 2541, 1188, 4125, 3201, 1848, 2211, 286, 350, 37, 6, 1], [1, 6, 35, 373, 165, 2596, 1023, 4455, 2739, 2310, 1881, 451, 295, 48, 5, 1], [1, 6, 35, 374, 154, 2651, 858, 4785, 2277, 2772, 1551, 616, 240, 59, 4, 1], [1, 6, 35, 374, 155, 2640, 913, 4620, 2607, 2310, 2013, 286, 405, 4, 15, 0], [1, 6, 35, 375, 143, 2706, 693, 5115, 1815, 3234, 1221, 781, 185, 70, 3, 1], [1, 6, 35, 375, 144, 2695, 748, 4950, 2145, 2772, 1683, 451, 350, 15, 14, 0], [1, 6, 35, 376, 132, 2761, 528, 5445, 1353, 3696, 891, 946, 130, 81, 2, 1], [1, 6, 35, 376, 133, 2750, 583, 5280, 1683, 3234, 1353, 616, 295, 26, 13, 0], [1, 6, 35, 377, 121, 2816, 363, 5775, 891, 4158, 561, 1111, 75, 92, 1, 1], [1, 6, 35, 377, 122, 2805, 418, 5610, 1221, 3696, 1023, 781, 240, 37, 12, 0], [1, 6, 35, 378, 110, 2871, 198, 6105, 429, 4620, 231, 1276, 20, 103, 0, 1], [1, 6, 35, 378, 111, 2860, 253, 5940, 759, 4158, 693, 946, 185, 48, 11, 0], [1, 6, 35, 379, 100, 2915, 88, 6270, 297, 4620, 363, 1111, 130, 59, 10, 0], [1, 6, 36, 360, 242, 2321, 1683, 3333, 4125, 1056, 2706, 66, 416, 25, 7, 1], [1, 6, 36, 361, 231, 2376, 1518, 3663, 3663, 1518, 2376, 231, 361, 36, 6, 1], [1, 6, 36, 362, 220, 2431, 1353, 3993, 3201, 1980, 2046, 396, 306, 47, 5, 1], [1, 6, 36, 363, 209, 2486, 1188, 4323, 2739, 2442, 1716, 561, 251, 58, 4, 1], [1, 6, 36, 363, 210, 2475, 1243, 4158, 3069, 1980, 2178, 231, 416, 3, 15, 0], [1, 6, 36, 364, 198, 2541, 1023, 4653, 2277, 2904, 1386, 726, 196, 69, 3, 1], [1, 6, 36, 364, 199, 2530, 1078, 4488, 2607, 2442, 1848, 396, 361, 14, 14, 0], [1, 6, 36, 365, 187, 2596, 858, 4983, 1815, 3366, 1056, 891, 141, 80, 2, 1], [1, 6, 36, 365, 188, 2585, 913, 4818, 2145, 2904, 1518, 561, 306, 25, 13, 0], [1, 6, 36, 366, 176, 2651, 693, 5313, 1353, 3828, 726, 1056, 86, 91, 1, 1], [1, 6, 36, 366, 177, 2640, 748, 5148, 1683, 3366, 1188, 726, 251, 36, 12, 0], [1, 6, 36, 367, 165, 2706, 528, 5643, 891, 4290, 396, 1221, 31, 102, 0, 1], [1, 6, 36, 367, 166, 2695, 583, 5478, 1221, 3828, 858, 891, 196, 47, 11, 0], [1, 6, 36, 368, 155, 2750, 418, 5808, 759, 4290, 528, 1056, 141, 58, 10, 0], [1, 6, 36, 369, 144, 2805, 253, 6138, 297, 4752, 198, 1221, 86, 69, 9, 0], [1, 6, 37, 349, 297, 2156, 2013, 2871, 4587, 726, 2871, 11, 427, 24, 7, 1], [1, 6, 37, 350, 286, 2211, 1848, 3201, 4125, 1188, 2541, 176, 372, 35, 6, 1], [1, 6, 37, 351, 275, 2266, 1683, 3531, 3663, 1650, 2211, 341, 317, 46, 5, 1], [1, 6, 37, 352, 264, 2321, 1518, 3861, 3201, 2112, 1881, 506, 262, 57, 4, 1], [1, 6, 37, 352, 265, 2310, 1573, 3696, 3531, 1650, 2343, 176, 427, 2, 15, 0], [1, 6, 37, 353, 253, 2376, 1353, 4191, 2739, 2574, 1551, 671, 207, 68, 3, 1], [1, 6, 37, 353, 254, 2365, 1408, 4026, 3069, 2112, 2013, 341, 372, 13, 14, 0], [1, 6, 37, 354, 242, 2431, 1188, 4521, 2277, 3036, 1221, 836, 152, 79, 2, 1], [1, 6, 37, 354, 243, 2420, 1243, 4356, 2607, 2574, 1683, 506, 317, 24, 13, 0], [1, 6, 37, 355, 231, 2486, 1023, 4851, 1815, 3498, 891, 1001, 97, 90, 1, 1], [1, 6, 37, 355, 232, 2475, 1078, 4686, 2145, 3036, 1353, 671, 262, 35, 12, 0], [1, 6, 37, 356, 220, 2541, 858, 5181, 1353, 3960, 561, 1166, 42, 101, 0, 1], [1, 6, 37, 356, 221, 2530, 913, 5016, 1683, 3498, 1023, 836, 207, 46, 11, 0], [1, 6, 37, 357, 210, 2585, 748, 5346, 1221, 3960, 693, 1001, 152, 57, 10, 0], [1, 6, 37, 358, 199, 2640, 583, 5676, 759, 4422, 363, 1166, 97, 68, 9, 0], [1, 6, 37, 359, 188, 2695, 418, 6006, 297, 4884, 33, 1331, 42, 79, 8, 0], [1, 6, 38, 339, 341, 2046, 2178, 2739, 4587, 858, 2706, 121, 383, 34, 6, 1], [1, 6, 38, 340, 330, 2101, 2013, 3069, 4125, 1320, 2376, 286, 328, 45, 5, 1], [1, 6, 38, 341, 319, 2156, 1848, 3399, 3663, 1782, 2046, 451, 273, 56, 4, 1], [1, 6, 38, 341, 320, 2145, 1903, 3234, 3993, 1320, 2508, 121, 438, 1, 15, 0], [1, 6, 38, 342, 308, 2211, 1683, 3729, 3201, 2244, 1716, 616, 218, 67, 3, 1], [1, 6, 38, 342, 309, 2200, 1738, 3564, 3531, 1782, 2178, 286, 383, 12, 14, 0], [1, 6, 38, 343, 297, 2266, 1518, 4059, 2739, 2706, 1386, 781, 163, 78, 2, 1], [1, 6, 38, 343, 298, 2255, 1573, 3894, 3069, 2244, 1848, 451, 328, 23, 13, 0], [1, 6, 38, 344, 286, 2321, 1353, 4389, 2277, 3168, 1056, 946, 108, 89, 1, 1], [1, 6, 38, 344, 287, 2310, 1408, 4224, 2607, 2706, 1518, 616, 273, 34, 12, 0], [1, 6, 38, 345, 275, 2376, 1188, 4719, 1815, 3630, 726, 1111, 53, 100, 0, 1], [1, 6, 38, 345, 276, 2365, 1243, 4554, 2145, 3168, 1188, 781, 218, 45, 11, 0], [1, 6, 38, 346, 265, 2420, 1078, 4884, 1683, 3630, 858, 946, 163, 56, 10, 0], [1, 6, 38, 347, 254, 2475, 913, 5214, 1221, 4092, 528, 1111, 108, 67, 9, 0], [1, 6, 38, 348, 243, 2530, 748, 5544, 759, 4554, 198, 1276, 53, 78, 8, 0], [1, 6, 39, 328, 396, 1881, 2508, 2277, 5049, 528, 2871, 66, 394, 33, 6, 1], [1, 6, 39, 329, 385, 1936, 2343, 2607, 4587, 990, 2541, 231, 339, 44, 5, 1], [1, 6, 39, 330, 374, 1991, 2178, 2937, 4125, 1452, 2211, 396, 284, 55, 4, 1], [1, 6, 39, 330, 375, 1980, 2233, 2772, 4455, 990, 2673, 66, 449, 0, 15, 0], [1, 6, 39, 331, 363, 2046, 2013, 3267, 3663, 1914, 1881, 561, 229, 66, 3, 1], [1, 6, 39, 331, 364, 2035, 2068, 3102, 3993, 1452, 2343, 231, 394, 11, 14, 0], [1, 6, 39, 332, 352, 2101, 1848, 3597, 3201, 2376, 1551, 726, 174, 77, 2, 1], [1, 6, 39, 332, 353, 2090, 1903, 3432, 3531, 1914, 2013, 396, 339, 22, 13, 0], [1, 6, 39, 333, 341, 2156, 1683, 3927, 2739, 2838, 1221, 891, 119, 88, 1, 1], [1, 6, 39, 333, 342, 2145, 1738, 3762, 3069, 2376, 1683, 561, 284, 33, 12, 0], [1, 6, 39, 334, 330, 2211, 1518, 4257, 2277, 3300, 891, 1056, 64, 99, 0, 1], [1, 6, 39, 334, 331, 2200, 1573, 4092, 2607, 2838, 1353, 726, 229, 44, 11, 0], [1, 6, 39, 335, 320, 2255, 1408, 4422, 2145, 3300, 1023, 891, 174, 55, 10, 0], [1, 6, 39, 336, 309, 2310, 1243, 4752, 1683, 3762, 693, 1056, 119, 66, 9, 0], [1, 6, 39, 337, 298, 2365, 1078, 5082, 1221, 4224, 363, 1221, 64, 77, 8, 0], [1, 6, 39, 338, 287, 2420, 913, 5412, 759, 4686, 33, 1386, 9, 88, 7, 0], [1, 6, 40, 317, 451, 1716, 2838, 1815, 5511, 198, 3036, 11, 405, 32, 6, 1], [1, 6, 40, 318, 440, 1771, 2673, 2145, 5049, 660, 2706, 176, 350, 43, 5, 1], [1, 6, 40, 319, 429, 1826, 2508, 2475, 4587, 1122, 2376, 341, 295, 54, 4, 1], [1, 6, 40, 320, 418, 1881, 2343, 2805, 4125, 1584, 2046, 506, 240, 65, 3, 1], [1, 6, 40, 320, 419, 1870, 2398, 2640, 4455, 1122, 2508, 176, 405, 10, 14, 0], [1, 6, 40, 321, 407, 1936, 2178, 3135, 3663, 2046, 1716, 671, 185, 76, 2, 1], [1, 6, 40, 321, 408, 1925, 2233, 2970, 3993, 1584, 2178, 341, 350, 21, 13, 0], [1, 6, 40, 322, 396, 1991, 2013, 3465, 3201, 2508, 1386, 836, 130, 87, 1, 1], [1, 6, 40, 322, 397, 1980, 2068, 3300, 3531, 2046, 1848, 506, 295, 32, 12, 0], [1, 6, 40, 323, 385, 2046, 1848, 3795, 2739, 2970, 1056, 1001, 75, 98, 0, 1], [1, 6, 40, 323, 386, 2035, 1903, 3630, 3069, 2508, 1518, 671, 240, 43, 11, 0], [1, 6, 40, 324, 375, 2090, 1738, 3960, 2607, 2970, 1188, 836, 185, 54, 10, 0], [1, 6, 40, 325, 364, 2145, 1573, 4290, 2145, 3432, 858, 1001, 130, 65, 9, 0], [1, 6, 40, 326, 353, 2200, 1408, 4620, 1683, 3894, 528, 1166, 75, 76, 8, 0], [1, 6, 40, 327, 342, 2255, 1243, 4950, 1221, 4356, 198, 1331, 20, 87, 7, 0], [1, 6, 41, 307, 495, 1606, 3003, 1683, 5511, 330, 2871, 121, 361, 42, 5, 1], [1, 6, 41, 308, 484, 1661, 2838, 2013, 5049, 792, 2541, 286, 306, 53, 4, 1], [1, 6, 41, 309, 473, 1716, 2673, 2343, 4587, 1254, 2211, 451, 251, 64, 3, 1], [1, 6, 41, 309, 474, 1705, 2728, 2178, 4917, 792, 2673, 121, 416, 9, 14, 0], [1, 6, 41, 310, 462, 1771, 2508, 2673, 4125, 1716, 1881, 616, 196, 75, 2, 1], [1, 6, 41, 310, 463, 1760, 2563, 2508, 4455, 1254, 2343, 286, 361, 20, 13, 0], [1, 6, 41, 311, 451, 1826, 2343, 3003, 3663, 2178, 1551, 781, 141, 86, 1, 1], [1, 6, 41, 311, 452, 1815, 2398, 2838, 3993, 1716, 2013, 451, 306, 31, 12, 0], [1, 6, 41, 312, 440, 1881, 2178, 3333, 3201, 2640, 1221, 946, 86, 97, 0, 1], [1, 6, 41, 312, 441, 1870, 2233, 3168, 3531, 2178, 1683, 616, 251, 42, 11, 0], [1, 6, 41, 313, 430, 1925, 2068, 3498, 3069, 2640, 1353, 781, 196, 53, 10, 0], [1, 6, 41, 314, 419, 1980, 1903, 3828, 2607, 3102, 1023, 946, 141, 64, 9, 0], [1, 6, 41, 315, 408, 2035, 1738, 4158, 2145, 3564, 693, 1111, 86, 75, 8, 0], [1, 6, 41, 316, 397, 2090, 1573, 4488, 1683, 4026, 363, 1276, 31, 86, 7, 0], [1, 6, 42, 296, 550, 1441, 3333, 1221, 5973, 0, 3036, 66, 372, 41, 5, 1], [1, 6, 42, 297, 539, 1496, 3168, 1551, 5511, 462, 2706, 231, 317, 52, 4, 1], [1, 6, 42, 298, 528, 1551, 3003, 1881, 5049, 924, 2376, 396, 262, 63, 3, 1], [1, 6, 42, 298, 529, 1540, 3058, 1716, 5379, 462, 2838, 66, 427, 8, 14, 0], [1, 6, 42, 299, 517, 1606, 2838, 2211, 4587, 1386, 2046, 561, 207, 74, 2, 1], [1, 6, 42, 299, 518, 1595, 2893, 2046, 4917, 924, 2508, 231, 372, 19, 13, 0], [1, 6, 42, 300, 506, 1661, 2673, 2541, 4125, 1848, 1716, 726, 152, 85, 1, 1], [1, 6, 42, 300, 507, 1650, 2728, 2376, 4455, 1386, 2178, 396, 317, 30, 12, 0], [1, 6, 42, 301, 495, 1716, 2508, 2871, 3663, 2310, 1386, 891, 97, 96, 0, 1], [1, 6, 42, 301, 496, 1705, 2563, 2706, 3993, 1848, 1848, 561, 262, 41, 11, 0], [1, 6, 42, 302, 485, 1760, 2398, 3036, 3531, 2310, 1518, 726, 207, 52, 10, 0], [1, 6, 42, 303, 474, 1815, 2233, 3366, 3069, 2772, 1188, 891, 152, 63, 9, 0], [1, 6, 42, 304, 463, 1870, 2068, 3696, 2607, 3234, 858, 1056, 97, 74, 8, 0], [1, 6, 42, 305, 452, 1925, 1903, 4026, 2145, 3696, 528, 1221, 42, 85, 7, 0], [1, 6, 43, 286, 594, 1331, 3498, 1089, 5973, 132, 2871, 176, 328, 51, 4, 1], [1, 6, 43, 287, 583, 1386, 3333, 1419, 5511, 594, 2541, 341, 273, 62, 3, 1], [1, 6, 43, 287, 584, 1375, 3388, 1254, 5841, 132, 3003, 11, 438, 7, 14, 0], [1, 6, 43, 288, 572, 1441, 3168, 1749, 5049, 1056, 2211, 506, 218, 73, 2, 1], [1, 6, 43, 288, 573, 1430, 3223, 1584, 5379, 594, 2673, 176, 383, 18, 13, 0], [1, 6, 43, 289, 561, 1496, 3003, 2079, 4587, 1518, 1881, 671, 163, 84, 1, 1], [1, 6, 43, 289, 562, 1485, 3058, 1914, 4917, 1056, 2343, 341, 328, 29, 12, 0], [1, 6, 43, 290, 550, 1551, 2838, 2409, 4125, 1980, 1551, 836, 108, 95, 0, 1], [1, 6, 43, 290, 551, 1540, 2893, 2244, 4455, 1518, 2013, 506, 273, 40, 11, 0], [1, 6, 43, 291, 540, 1595, 2728, 2574, 3993, 1980, 1683, 671, 218, 51, 10, 0], [1, 6, 43, 292, 529, 1650, 2563, 2904, 3531, 2442, 1353, 836, 163, 62, 9, 0], [1, 6, 43, 293, 518, 1705, 2398, 3234, 3069, 2904, 1023, 1001, 108, 73, 8, 0], [1, 6, 43, 294, 507, 1760, 2233, 3564, 2607, 3366, 693, 1166, 53, 84, 7, 0], [1, 6, 44, 276, 638, 1221, 3663, 957, 5973, 264, 2706, 286, 284, 61, 3, 1], [1, 6, 44, 277, 627, 1276, 3498, 1287, 5511, 726, 2376, 451, 229, 72, 2, 1], [1, 6, 44, 277, 628, 1265, 3553, 1122, 5841, 264, 2838, 121, 394, 17, 13, 0], [1, 6, 44, 278, 616, 1331, 3333, 1617, 5049, 1188, 2046, 616, 174, 83, 1, 1], [1, 6, 44, 278, 617, 1320, 3388, 1452, 5379, 726, 2508, 286, 339, 28, 12, 0], [1, 6, 44, 279, 605, 1386, 3168, 1947, 4587, 1650, 1716, 781, 119, 94, 0, 1], [1, 6, 44, 279, 606, 1375, 3223, 1782, 4917, 1188, 2178, 451, 284, 39, 11, 0], [1, 6, 44, 280, 595, 1430, 3058, 2112, 4455, 1650, 1848, 616, 229, 50, 10, 0], [1, 6, 44, 281, 584, 1485, 2893, 2442, 3993, 2112, 1518, 781, 174, 61, 9, 0], [1, 6, 44, 282, 573, 1540, 2728, 2772, 3531, 2574, 1188, 946, 119, 72, 8, 0], [1, 6, 44, 283, 562, 1595, 2563, 3102, 3069, 3036, 858, 1111, 64, 83, 7, 0], [1, 6, 44, 284, 551, 1650, 2398, 3432, 2607, 3498, 528, 1276, 9, 94, 6, 0], [1, 6, 45, 266, 682, 1111, 3828, 825, 5973, 396, 2541, 396, 240, 71, 2, 1], [1, 6, 45, 267, 671, 1166, 3663, 1155, 5511, 858, 2211, 561, 185, 82, 1, 1], [1, 6, 45, 267, 672, 1155, 3718, 990, 5841, 396, 2673, 231, 350, 27, 12, 0], [1, 6, 45, 268, 660, 1221, 3498, 1485, 5049, 1320, 1881, 726, 130, 93, 0, 1], [1, 6, 45, 268, 661, 1210, 3553, 1320, 5379, 858, 2343, 396, 295, 38, 11, 0], [1, 6, 45, 269, 650, 1265, 3388, 1650, 4917, 1320, 2013, 561, 240, 49, 10, 0], [1, 6, 45, 270, 639, 1320, 3223, 1980, 4455, 1782, 1683, 726, 185, 60, 9, 0], [1, 6, 45, 271, 628, 1375, 3058, 2310, 3993, 2244, 1353, 891, 130, 71, 8, 0], [1, 6, 45, 272, 617, 1430, 2893, 2640, 3531, 2706, 1023, 1056, 75, 82, 7, 0], [1, 6, 45, 273, 606, 1485, 2728, 2970, 3069, 3168, 693, 1221, 20, 93, 6, 0], [1, 6, 46, 255, 737, 946, 4158, 363, 6435, 66, 2706, 341, 251, 70, 2, 1], [1, 6, 46, 256, 726, 1001, 3993, 693, 5973, 528, 2376, 506, 196, 81, 1, 1], [1, 6, 46, 256, 727, 990, 4048, 528, 6303, 66, 2838, 176, 361, 26, 12, 0], [1, 6, 46, 257, 715, 1056, 3828, 1023, 5511, 990, 2046, 671, 141, 92, 0, 1], [1, 6, 46, 257, 716, 1045, 3883, 858, 5841, 528, 2508, 341, 306, 37, 11, 0], [1, 6, 46, 258, 705, 1100, 3718, 1188, 5379, 990, 2178, 506, 251, 48, 10, 0], [1, 6, 46, 259, 694, 1155, 3553, 1518, 4917, 1452, 1848, 671, 196, 59, 9, 0], [1, 6, 46, 260, 683, 1210, 3388, 1848, 4455, 1914, 1518, 836, 141, 70, 8, 0], [1, 6, 46, 261, 672, 1265, 3223, 2178, 3993, 2376, 1188, 1001, 86, 81, 7, 0], [1, 6, 46, 262, 661, 1320, 3058, 2508, 3531, 2838, 858, 1166, 31, 92, 6, 0], [1, 6, 47, 245, 781, 836, 4323, 231, 6435, 198, 2541, 451, 207, 80, 1, 1], [1, 6, 47, 246, 770, 891, 4158, 561, 5973, 660, 2211, 616, 152, 91, 0, 1], [1, 6, 47, 246, 771, 880, 4213, 396, 6303, 198, 2673, 286, 317, 36, 11, 0], [1, 6, 47, 247, 760, 935, 4048, 726, 5841, 660, 2343, 451, 262, 47, 10, 0], [1, 6, 47, 248, 749, 990, 3883, 1056, 5379, 1122, 2013, 616, 207, 58, 9, 0], [1, 6, 47, 249, 738, 1045, 3718, 1386, 4917, 1584, 1683, 781, 152, 69, 8, 0], [1, 6, 47, 250, 727, 1100, 3553, 1716, 4455, 2046, 1353, 946, 97, 80, 7, 0], [1, 6, 47, 251, 716, 1155, 3388, 2046, 3993, 2508, 1023, 1111, 42, 91, 6, 0], [1, 6, 48, 235, 825, 726, 4488, 99, 6435, 330, 2376, 561, 163, 90, 0, 1], [1, 6, 48, 236, 815, 770, 4378, 264, 6303, 330, 2508, 396, 273, 46, 10, 0], [1, 6, 48, 237, 804, 825, 4213, 594, 5841, 792, 2178, 561, 218, 57, 9, 0], [1, 6, 48, 238, 793, 880, 4048, 924, 5379, 1254, 1848, 726, 163, 68, 8, 0], [1, 6, 48, 239, 782, 935, 3883, 1254, 4917, 1716, 1518, 891, 108, 79, 7, 0], [1, 6, 48, 240, 771, 990, 3718, 1584, 4455, 2178, 1188, 1056, 53, 90, 6, 0], [1, 6, 49, 226, 859, 660, 4543, 132, 6303, 462, 2343, 506, 229, 56, 9, 0], [1, 6, 49, 227, 848, 715, 4378, 462, 5841, 924, 2013, 671, 174, 67, 8, 0], [1, 6, 49, 228, 837, 770, 4213, 792, 5379, 1386, 1683, 836, 119, 78, 7, 0], [1, 6, 49, 229, 826, 825, 4048, 1122, 4917, 1848, 1353, 1001, 64, 89, 6, 0], [1, 6, 49, 230, 815, 880, 3883, 1452, 4455, 2310, 1023, 1166, 9, 100, 5, 0], [1, 6, 50, 216, 903, 550, 4708, 0, 6303, 594, 2178, 616, 185, 66, 8, 0], [1, 6, 50, 217, 892, 605, 4543, 330, 5841, 1056, 1848, 781, 130, 77, 7, 0], [1, 6, 50, 218, 881, 660, 4378, 660, 5379, 1518, 1518, 946, 75, 88, 6, 0], [1, 6, 50, 219, 870, 715, 4213, 990, 4917, 1980, 1188, 1111, 20, 99, 5, 0], [1, 6, 51, 207, 936, 495, 4708, 198, 5841, 1188, 1683, 891, 86, 87, 6, 0], [1, 6, 51, 208, 925, 550, 4543, 528, 5379, 1650, 1353, 1056, 31, 98, 5, 0], [1, 6, 52, 197, 980, 385, 4873, 66, 5841, 1320, 1518, 1001, 42, 97, 5, 0], [1, 7, 24, 426, 22, 2816, 891, 4257, 3333, 1551, 2486, 132, 404, 26, 7, 1], [1, 7, 24, 427, 11, 2871, 726, 4587, 2871, 2013, 2156, 297, 349, 37, 6, 1], [1, 7, 24, 428, 0, 2926, 561, 4917, 2409, 2475, 1826, 462, 294, 48, 5, 1], [1, 7, 25, 415, 77, 2651, 1221, 3795, 3795, 1221, 2651, 77, 415, 25, 7, 1], [1, 7, 25, 416, 66, 2706, 1056, 4125, 3333, 1683, 2321, 242, 360, 36, 6, 1], [1, 7, 25, 417, 55, 2761, 891, 4455, 2871, 2145, 1991, 407, 305, 47, 5, 1], [1, 7, 25, 418, 44, 2816, 726, 4785, 2409, 2607, 1661, 572, 250, 58, 4, 1], [1, 7, 25, 418, 45, 2805, 781, 4620, 2739, 2145, 2123, 242, 415, 3, 15, 0], [1, 7, 25, 419, 33, 2871, 561, 5115, 1947, 3069, 1331, 737, 195, 69, 3, 1], [1, 7, 25, 419, 34, 2860, 616, 4950, 2277, 2607, 1793, 407, 360, 14, 14, 0], [1, 7, 25, 420, 22, 2926, 396, 5445, 1485, 3531, 1001, 902, 140, 80, 2, 1], [1, 7, 25, 420, 23, 2915, 451, 5280, 1815, 3069, 1463, 572, 305, 25, 13, 0], [1, 7, 25, 421, 11, 2981, 231, 5775, 1023, 3993, 671, 1067, 85, 91, 1, 1], [1, 7, 25, 421, 12, 2970, 286, 5610, 1353, 3531, 1133, 737, 250, 36, 12, 0], [1, 7, 25, 422, 0, 3036, 66, 6105, 561, 4455, 341, 1232, 30, 102, 0, 1], [1, 7, 25, 422, 1, 3025, 121, 5940, 891, 3993, 803, 902, 195, 47, 11, 0], [1, 7, 26, 404, 132, 2486, 1551, 3333, 4257, 891, 2816, 22, 426, 24, 7, 1], [1, 7, 26, 405, 121, 2541, 1386, 3663, 3795, 1353, 2486, 187, 371, 35, 6, 1], [1, 7, 26, 406, 110, 2596, 1221, 3993, 3333, 1815, 2156, 352, 316, 46, 5, 1], [1, 7, 26, 407, 99, 2651, 1056, 4323, 2871, 2277, 1826, 517, 261, 57, 4, 1], [1, 7, 26, 407, 100, 2640, 1111, 4158, 3201, 1815, 2288, 187, 426, 2, 15, 0], [1, 7, 26, 408, 88, 2706, 891, 4653, 2409, 2739, 1496, 682, 206, 68, 3, 1], [1, 7, 26, 408, 89, 2695, 946, 4488, 2739, 2277, 1958, 352, 371, 13, 14, 0], [1, 7, 26, 409, 77, 2761, 726, 4983, 1947, 3201, 1166, 847, 151, 79, 2, 1], [1, 7, 26, 409, 78, 2750, 781, 4818, 2277, 2739, 1628, 517, 316, 24, 13, 0], [1, 7, 26, 410, 66, 2816, 561, 5313, 1485, 3663, 836, 1012, 96, 90, 1, 1], [1, 7, 26, 410, 67, 2805, 616, 5148, 1815, 3201, 1298, 682, 261, 35, 12, 0], [1, 7, 26, 411, 55, 2871, 396, 5643, 1023, 4125, 506, 1177, 41, 101, 0, 1], [1, 7, 26, 411, 56, 2860, 451, 5478, 1353, 3663, 968, 847, 206, 46, 11, 0], [1, 7, 26, 412, 45, 2915, 286, 5808, 891, 4125, 638, 1012, 151, 57, 10, 0], [1, 7, 26, 413, 34, 2970, 121, 6138, 429, 4587, 308, 1177, 96, 68, 9, 0], [1, 7, 27, 394, 176, 2376, 1716, 3201, 4257, 1023, 2651, 132, 382, 34, 6, 1], [1, 7, 27, 395, 165, 2431, 1551, 3531, 3795, 1485, 2321, 297, 327, 45, 5, 1], [1, 7, 27, 396, 154, 2486, 1386, 3861, 3333, 1947, 1991, 462, 272, 56, 4, 1], [1, 7, 27, 396, 155, 2475, 1441, 3696, 3663, 1485, 2453, 132, 437, 1, 15, 0], [1, 7, 27, 397, 143, 2541, 1221, 4191, 2871, 2409, 1661, 627, 217, 67, 3, 1], [1, 7, 27, 397, 144, 2530, 1276, 4026, 3201, 1947, 2123, 297, 382, 12, 14, 0], [1, 7, 27, 398, 132, 2596, 1056, 4521, 2409, 2871, 1331, 792, 162, 78, 2, 1], [1, 7, 27, 398, 133, 2585, 1111, 4356, 2739, 2409, 1793, 462, 327, 23, 13, 0], [1, 7, 27, 399, 121, 2651, 891, 4851, 1947, 3333, 1001, 957, 107, 89, 1, 1], [1, 7, 27, 399, 122, 2640, 946, 4686, 2277, 2871, 1463, 627, 272, 34, 12, 0], [1, 7, 27, 400, 110, 2706, 726, 5181, 1485, 3795, 671, 1122, 52, 100, 0, 1], [1, 7, 27, 400, 111, 2695, 781, 5016, 1815, 3333, 1133, 792, 217, 45, 11, 0], [1, 7, 27, 401, 100, 2750, 616, 5346, 1353, 3795, 803, 957, 162, 56, 10, 0], [1, 7, 27, 402, 89, 2805, 451, 5676, 891, 4257, 473, 1122, 107, 67, 9, 0], [1, 7, 27, 403, 78, 2860, 286, 6006, 429, 4719, 143, 1287, 52, 78, 8, 0], [1, 7, 28, 383, 231, 2211, 2046, 2739, 4719, 693, 2816, 77, 393, 33, 6, 1], [1, 7, 28, 384, 220, 2266, 1881, 3069, 4257, 1155, 2486, 242, 338, 44, 5, 1], [1, 7, 28, 385, 209, 2321, 1716, 3399, 3795, 1617, 2156, 407, 283, 55, 4, 1], [1, 7, 28, 385, 210, 2310, 1771, 3234, 4125, 1155, 2618, 77, 448, 0, 15, 0], [1, 7, 28, 386, 198, 2376, 1551, 3729, 3333, 2079, 1826, 572, 228, 66, 3, 1], [1, 7, 28, 386, 199, 2365, 1606, 3564, 3663, 1617, 2288, 242, 393, 11, 14, 0], [1, 7, 28, 387, 187, 2431, 1386, 4059, 2871, 2541, 1496, 737, 173, 77, 2, 1], [1, 7, 28, 387, 188, 2420, 1441, 3894, 3201, 2079, 1958, 407, 338, 22, 13, 0], [1, 7, 28, 388, 176, 2486, 1221, 4389, 2409, 3003, 1166, 902, 118, 88, 1, 1], [1, 7, 28, 388, 177, 2475, 1276, 4224, 2739, 2541, 1628, 572, 283, 33, 12, 0], [1, 7, 28, 389, 165, 2541, 1056, 4719, 1947, 3465, 836, 1067, 63, 99, 0, 1], [1, 7, 28, 389, 166, 2530, 1111, 4554, 2277, 3003, 1298, 737, 228, 44, 11, 0], [1, 7, 28, 390, 155, 2585, 946, 4884, 1815, 3465, 968, 902, 173, 55, 10, 0], [1, 7, 28, 391, 144, 2640, 781, 5214, 1353, 3927, 638, 1067, 118, 66, 9, 0], [1, 7, 28, 392, 133, 2695, 616, 5544, 891, 4389, 308, 1232, 63, 77, 8, 0], [1, 7, 29, 372, 286, 2046, 2376, 2277, 5181, 363, 2981, 22, 404, 32, 6, 1], [1, 7, 29, 373, 275, 2101, 2211, 2607, 4719, 825, 2651, 187, 349, 43, 5, 1], [1, 7, 29, 374, 264, 2156, 2046, 2937, 4257, 1287, 2321, 352, 294, 54, 4, 1], [1, 7, 29, 375, 253, 2211, 1881, 3267, 3795, 1749, 1991, 517, 239, 65, 3, 1], [1, 7, 29, 375, 254, 2200, 1936, 3102, 4125, 1287, 2453, 187, 404, 10, 14, 0], [1, 7, 29, 376, 242, 2266, 1716, 3597, 3333, 2211, 1661, 682, 184, 76, 2, 1], [1, 7, 29, 376, 243, 2255, 1771, 3432, 3663, 1749, 2123, 352, 349, 21, 13, 0], [1, 7, 29, 377, 231, 2321, 1551, 3927, 2871, 2673, 1331, 847, 129, 87, 1, 1], [1, 7, 29, 377, 232, 2310, 1606, 3762, 3201, 2211, 1793, 517, 294, 32, 12, 0], [1, 7, 29, 378, 220, 2376, 1386, 4257, 2409, 3135, 1001, 1012, 74, 98, 0, 1], [1, 7, 29, 378, 221, 2365, 1441, 4092, 2739, 2673, 1463, 682, 239, 43, 11, 0], [1, 7, 29, 379, 210, 2420, 1276, 4422, 2277, 3135, 1133, 847, 184, 54, 10, 0], [1, 7, 29, 380, 199, 2475, 1111, 4752, 1815, 3597, 803, 1012, 129, 65, 9, 0], [1, 7, 29, 381, 188, 2530, 946, 5082, 1353, 4059, 473, 1177, 74, 76, 8, 0], [1, 7, 29, 382, 177, 2585, 781, 5412, 891, 4521, 143, 1342, 19, 87, 7, 0], [1, 7, 30, 362, 330, 1936, 2541, 2145, 5181, 495, 2816, 132, 360, 42, 5, 1], [1, 7, 30, 363, 319, 1991, 2376, 2475, 4719, 957, 2486, 297, 305, 53, 4, 1], [1, 7, 30, 364, 308, 2046, 2211, 2805, 4257, 1419, 2156, 462, 250, 64, 3, 1], [1, 7, 30, 364, 309, 2035, 2266, 2640, 4587, 957, 2618, 132, 415, 9, 14, 0], [1, 7, 30, 365, 297, 2101, 2046, 3135, 3795, 1881, 1826, 627, 195, 75, 2, 1], [1, 7, 30, 365, 298, 2090, 2101, 2970, 4125, 1419, 2288, 297, 360, 20, 13, 0], [1, 7, 30, 366, 286, 2156, 1881, 3465, 3333, 2343, 1496, 792, 140, 86, 1, 1], [1, 7, 30, 366, 287, 2145, 1936, 3300, 3663, 1881, 1958, 462, 305, 31, 12, 0], [1, 7, 30, 367, 275, 2211, 1716, 3795, 2871, 2805, 1166, 957, 85, 97, 0, 1], [1, 7, 30, 367, 276, 2200, 1771, 3630, 3201, 2343, 1628, 627, 250, 42, 11, 0], [1, 7, 30, 368, 265, 2255, 1606, 3960, 2739, 2805, 1298, 792, 195, 53, 10, 0], [1, 7, 30, 369, 254, 2310, 1441, 4290, 2277, 3267, 968, 957, 140, 64, 9, 0], [1, 7, 30, 370, 243, 2365, 1276, 4620, 1815, 3729, 638, 1122, 85, 75, 8, 0], [1, 7, 30, 371, 232, 2420, 1111, 4950, 1353, 4191, 308, 1287, 30, 86, 7, 0], [1, 7, 31, 351, 385, 1771, 2871, 1683, 5643, 165, 2981, 77, 371, 41, 5, 1], [1, 7, 31, 352, 374, 1826, 2706, 2013, 5181, 627, 2651, 242, 316, 52, 4, 1], [1, 7, 31, 353, 363, 1881, 2541, 2343, 4719, 1089, 2321, 407, 261, 63, 3, 1], [1, 7, 31, 353, 364, 1870, 2596, 2178, 5049, 627, 2783, 77, 426, 8, 14, 0], [1, 7, 31, 354, 352, 1936, 2376, 2673, 4257, 1551, 1991, 572, 206, 74, 2, 1], [1, 7, 31, 354, 353, 1925, 2431, 2508, 4587, 1089, 2453, 242, 371, 19, 13, 0], [1, 7, 31, 355, 341, 1991, 2211, 3003, 3795, 2013, 1661, 737, 151, 85, 1, 1], [1, 7, 31, 355, 342, 1980, 2266, 2838, 4125, 1551, 2123, 407, 316, 30, 12, 0], [1, 7, 31, 356, 330, 2046, 2046, 3333, 3333, 2475, 1331, 902, 96, 96, 0, 1], [1, 7, 31, 356, 331, 2035, 2101, 3168, 3663, 2013, 1793, 572, 261, 41, 11, 0], [1, 7, 31, 357, 320, 2090, 1936, 3498, 3201, 2475, 1463, 737, 206, 52, 10, 0], [1, 7, 31, 358, 309, 2145, 1771, 3828, 2739, 2937, 1133, 902, 151, 63, 9, 0], [1, 7, 31, 359, 298, 2200, 1606, 4158, 2277, 3399, 803, 1067, 96, 74, 8, 0], [1, 7, 31, 360, 287, 2255, 1441, 4488, 1815, 3861, 473, 1232, 41, 85, 7, 0], [1, 7, 32, 341, 429, 1661, 3036, 1551, 5643, 297, 2816, 187, 327, 51, 4, 1], [1, 7, 32, 342, 418, 1716, 2871, 1881, 5181, 759, 2486, 352, 272, 62, 3, 1], [1, 7, 32, 342, 419, 1705, 2926, 1716, 5511, 297, 2948, 22, 437, 7, 14, 0], [1, 7, 32, 343, 407, 1771, 2706, 2211, 4719, 1221, 2156, 517, 217, 73, 2, 1], [1, 7, 32, 343, 408, 1760, 2761, 2046, 5049, 759, 2618, 187, 382, 18, 13, 0], [1, 7, 32, 344, 396, 1826, 2541, 2541, 4257, 1683, 1826, 682, 162, 84, 1, 1], [1, 7, 32, 344, 397, 1815, 2596, 2376, 4587, 1221, 2288, 352, 327, 29, 12, 0], [1, 7, 32, 345, 385, 1881, 2376, 2871, 3795, 2145, 1496, 847, 107, 95, 0, 1], [1, 7, 32, 345, 386, 1870, 2431, 2706, 4125, 1683, 1958, 517, 272, 40, 11, 0], [1, 7, 32, 346, 375, 1925, 2266, 3036, 3663, 2145, 1628, 682, 217, 51, 10, 0], [1, 7, 32, 347, 364, 1980, 2101, 3366, 3201, 2607, 1298, 847, 162, 62, 9, 0], [1, 7, 32, 348, 353, 2035, 1936, 3696, 2739, 3069, 968, 1012, 107, 73, 8, 0], [1, 7, 32, 349, 342, 2090, 1771, 4026, 2277, 3531, 638, 1177, 52, 84, 7, 0], [1, 7, 33, 331, 473, 1551, 3201, 1419, 5643, 429, 2651, 297, 283, 61, 3, 1], [1, 7, 33, 332, 462, 1606, 3036, 1749, 5181, 891, 2321, 462, 228, 72, 2, 1], [1, 7, 33, 332, 463, 1595, 3091, 1584, 5511, 429, 2783, 132, 393, 17, 13, 0], [1, 7, 33, 333, 451, 1661, 2871, 2079, 4719, 1353, 1991, 627, 173, 83, 1, 1], [1, 7, 33, 333, 452, 1650, 2926, 1914, 5049, 891, 2453, 297, 338, 28, 12, 0], [1, 7, 33, 334, 440, 1716, 2706, 2409, 4257, 1815, 1661, 792, 118, 94, 0, 1], [1, 7, 33, 334, 441, 1705, 2761, 2244, 4587, 1353, 2123, 462, 283, 39, 11, 0], [1, 7, 33, 335, 430, 1760, 2596, 2574, 4125, 1815, 1793, 627, 228, 50, 10, 0], [1, 7, 33, 336, 419, 1815, 2431, 2904, 3663, 2277, 1463, 792, 173, 61, 9, 0], [1, 7, 33, 337, 408, 1870, 2266, 3234, 3201, 2739, 1133, 957, 118, 72, 8, 0], [1, 7, 33, 338, 397, 1925, 2101, 3564, 2739, 3201, 803, 1122, 63, 83, 7, 0], [1, 7, 33, 339, 386, 1980, 1936, 3894, 2277, 3663, 473, 1287, 8, 94, 6, 0], [1, 7, 34, 320, 528, 1386, 3531, 957, 6105, 99, 2816, 242, 294, 60, 3, 1], [1, 7, 34, 321, 517, 1441, 3366, 1287, 5643, 561, 2486, 407, 239, 71, 2, 1], [1, 7, 34, 321, 518, 1430, 3421, 1122, 5973, 99, 2948, 77, 404, 16, 13, 0], [1, 7, 34, 322, 506, 1496, 3201, 1617, 5181, 1023, 2156, 572, 184, 82, 1, 1], [1, 7, 34, 322, 507, 1485, 3256, 1452, 5511, 561, 2618, 242, 349, 27, 12, 0], [1, 7, 34, 323, 495, 1551, 3036, 1947, 4719, 1485, 1826, 737, 129, 93, 0, 1], [1, 7, 34, 323, 496, 1540, 3091, 1782, 5049, 1023, 2288, 407, 294, 38, 11, 0], [1, 7, 34, 324, 485, 1595, 2926, 2112, 4587, 1485, 1958, 572, 239, 49, 10, 0], [1, 7, 34, 325, 474, 1650, 2761, 2442, 4125, 1947, 1628, 737, 184, 60, 9, 0], [1, 7, 34, 326, 463, 1705, 2596, 2772, 3663, 2409, 1298, 902, 129, 71, 8, 0], [1, 7, 34, 327, 452, 1760, 2431, 3102, 3201, 2871, 968, 1067, 74, 82, 7, 0], [1, 7, 34, 328, 441, 1815, 2266, 3432, 2739, 3333, 638, 1232, 19, 93, 6, 0], [1, 7, 35, 310, 572, 1276, 3696, 825, 6105, 231, 2651, 352, 250, 70, 2, 1], [1, 7, 35, 311, 561, 1331, 3531, 1155, 5643, 693, 2321, 517, 195, 81, 1, 1], [1, 7, 35, 311, 562, 1320, 3586, 990, 5973, 231, 2783, 187, 360, 26, 12, 0], [1, 7, 35, 312, 550, 1386, 3366, 1485, 5181, 1155, 1991, 682, 140, 92, 0, 1], [1, 7, 35, 312, 551, 1375, 3421, 1320, 5511, 693, 2453, 352, 305, 37, 11, 0], [1, 7, 35, 313, 540, 1430, 3256, 1650, 5049, 1155, 2123, 517, 250, 48, 10, 0], [1, 7, 35, 314, 529, 1485, 3091, 1980, 4587, 1617, 1793, 682, 195, 59, 9, 0], [1, 7, 35, 315, 518, 1540, 2926, 2310, 4125, 2079, 1463, 847, 140, 70, 8, 0], [1, 7, 35, 316, 507, 1595, 2761, 2640, 3663, 2541, 1133, 1012, 85, 81, 7, 0], [1, 7, 35, 317, 496, 1650, 2596, 2970, 3201, 3003, 803, 1177, 30, 92, 6, 0], [1, 7, 36, 300, 616, 1166, 3861, 693, 6105, 363, 2486, 462, 206, 80, 1, 1], [1, 7, 36, 301, 605, 1221, 3696, 1023, 5643, 825, 2156, 627, 151, 91, 0, 1], [1, 7, 36, 301, 606, 1210, 3751, 858, 5973, 363, 2618, 297, 316, 36, 11, 0], [1, 7, 36, 302, 595, 1265, 3586, 1188, 5511, 825, 2288, 462, 261, 47, 10, 0], [1, 7, 36, 303, 584, 1320, 3421, 1518, 5049, 1287, 1958, 627, 206, 58, 9, 0], [1, 7, 36, 304, 573, 1375, 3256, 1848, 4587, 1749, 1628, 792, 151, 69, 8, 0], [1, 7, 36, 305, 562, 1430, 3091, 2178, 4125, 2211, 1298, 957, 96, 80, 7, 0], [1, 7, 36, 306, 551, 1485, 2926, 2508, 3663, 2673, 968, 1122, 41, 91, 6, 0], [1, 7, 37, 289, 671, 1001, 4191, 231, 6567, 33, 2651, 407, 217, 79, 1, 1], [1, 7, 37, 290, 660, 1056, 4026, 561, 6105, 495, 2321, 572, 162, 90, 0, 1], [1, 7, 37, 290, 661, 1045, 4081, 396, 6435, 33, 2783, 242, 327, 35, 11, 0], [1, 7, 37, 291, 650, 1100, 3916, 726, 5973, 495, 2453, 407, 272, 46, 10, 0], [1, 7, 37, 292, 639, 1155, 3751, 1056, 5511, 957, 2123, 572, 217, 57, 9, 0], [1, 7, 37, 293, 628, 1210, 3586, 1386, 5049, 1419, 1793, 737, 162, 68, 8, 0], [1, 7, 37, 294, 617, 1265, 3421, 1716, 4587, 1881, 1463, 902, 107, 79, 7, 0], [1, 7, 37, 295, 606, 1320, 3256, 2046, 4125, 2343, 1133, 1067, 52, 90, 6, 0], [1, 7, 38, 279, 715, 891, 4356, 99, 6567, 165, 2486, 517, 173, 89, 0, 1], [1, 7, 38, 280, 705, 935, 4246, 264, 6435, 165, 2618, 352, 283, 45, 10, 0], [1, 7, 38, 281, 694, 990, 4081, 594, 5973, 627, 2288, 517, 228, 56, 9, 0], [1, 7, 38, 282, 683, 1045, 3916, 924, 5511, 1089, 1958, 682, 173, 67, 8, 0], [1, 7, 38, 283, 672, 1100, 3751, 1254, 5049, 1551, 1628, 847, 118, 78, 7, 0], [1, 7, 38, 284, 661, 1155, 3586, 1584, 4587, 2013, 1298, 1012, 63, 89, 6, 0], [1, 7, 38, 285, 650, 1210, 3421, 1914, 4125, 2475, 968, 1177, 8, 100, 5, 0], [1, 7, 39, 270, 749, 825, 4411, 132, 6435, 297, 2453, 462, 239, 55, 9, 0], [1, 7, 39, 271, 738, 880, 4246, 462, 5973, 759, 2123, 627, 184, 66, 8, 0], [1, 7, 39, 272, 727, 935, 4081, 792, 5511, 1221, 1793, 792, 129, 77, 7, 0], [1, 7, 39, 273, 716, 990, 3916, 1122, 5049, 1683, 1463, 957, 74, 88, 6, 0], [1, 7, 39, 274, 705, 1045, 3751, 1452, 4587, 2145, 1133, 1122, 19, 99, 5, 0], [1, 7, 40, 260, 793, 715, 4576, 0, 6435, 429, 2288, 572, 195, 65, 8, 0], [1, 7, 40, 261, 782, 770, 4411, 330, 5973, 891, 1958, 737, 140, 76, 7, 0], [1, 7, 40, 262, 771, 825, 4246, 660, 5511, 1353, 1628, 902, 85, 87, 6, 0], [1, 7, 40, 263, 760, 880, 4081, 990, 5049, 1815, 1298, 1067, 30, 98, 5, 0], [1, 7, 41, 251, 826, 660, 4576, 198, 5973, 1023, 1793, 847, 96, 86, 6, 0], [1, 7, 41, 252, 815, 715, 4411, 528, 5511, 1485, 1463, 1012, 41, 97, 5, 0], [1, 7, 42, 241, 870, 550, 4741, 66, 5973, 1155, 1628, 957, 52, 96, 5, 0], [1, 8, 16, 449, 11, 2706, 1254, 3663, 3927, 1188, 2596, 143, 381, 34, 6, 1], [1, 8, 16, 450, 0, 2761, 1089, 3993, 3465, 1650, 2266, 308, 326, 45, 5, 1], [1, 8, 17, 438, 66, 2541, 1584, 3201, 4389, 858, 2761, 88, 392, 33, 6, 1], [1, 8, 17, 439, 55, 2596, 1419, 3531, 3927, 1320, 2431, 253, 337, 44, 5, 1], [1, 8, 17, 440, 44, 2651, 1254, 3861, 3465, 1782, 2101, 418, 282, 55, 4, 1], [1, 8, 17, 440, 45, 2640, 1309, 3696, 3795, 1320, 2563, 88, 447, 0, 15, 0], [1, 8, 17, 441, 33, 2706, 1089, 4191, 3003, 2244, 1771, 583, 227, 66, 3, 1], [1, 8, 17, 441, 34, 2695, 1144, 4026, 3333, 1782, 2233, 253, 392, 11, 14, 0], [1, 8, 17, 442, 22, 2761, 924, 4521, 2541, 2706, 1441, 748, 172, 77, 2, 1], [1, 8, 17, 442, 23, 2750, 979, 4356, 2871, 2244, 1903, 418, 337, 22, 13, 0], [1, 8, 17, 443, 11, 2816, 759, 4851, 2079, 3168, 1111, 913, 117, 88, 1, 1], [1, 8, 17, 443, 12, 2805, 814, 4686, 2409, 2706, 1573, 583, 282, 33, 12, 0], [1, 8, 17, 444, 0, 2871, 594, 5181, 1617, 3630, 781, 1078, 62, 99, 0, 1], [1, 8, 17, 444, 1, 2860, 649, 5016, 1947, 3168, 1243, 748, 227, 44, 11, 0], [1, 8, 18, 427, 121, 2376, 1914, 2739, 4851, 528, 2926, 33, 403, 32, 6, 1], [1, 8, 18, 428, 110, 2431, 1749, 3069, 4389, 990, 2596, 198, 348, 43, 5, 1], [1, 8, 18, 429, 99, 2486, 1584, 3399, 3927, 1452, 2266, 363, 293, 54, 4, 1], [1, 8, 18, 430, 88, 2541, 1419, 3729, 3465, 1914, 1936, 528, 238, 65, 3, 1], [1, 8, 18, 430, 89, 2530, 1474, 3564, 3795, 1452, 2398, 198, 403, 10, 14, 0], [1, 8, 18, 431, 77, 2596, 1254, 4059, 3003, 2376, 1606, 693, 183, 76, 2, 1], [1, 8, 18, 431, 78, 2585, 1309, 3894, 3333, 1914, 2068, 363, 348, 21, 13, 0], [1, 8, 18, 432, 66, 2651, 1089, 4389, 2541, 2838, 1276, 858, 128, 87, 1, 1], [1, 8, 18, 432, 67, 2640, 1144, 4224, 2871, 2376, 1738, 528, 293, 32, 12, 0], [1, 8, 18, 433, 55, 2706, 924, 4719, 2079, 3300, 946, 1023, 73, 98, 0, 1], [1, 8, 18, 433, 56, 2695, 979, 4554, 2409, 2838, 1408, 693, 238, 43, 11, 0], [1, 8, 18, 434, 45, 2750, 814, 4884, 1947, 3300, 1078, 858, 183, 54, 10, 0], [1, 8, 18, 435, 34, 2805, 649, 5214, 1485, 3762, 748, 1023, 128, 65, 9, 0], [1, 8, 18, 436, 23, 2860, 484, 5544, 1023, 4224, 418, 1188, 73, 76, 8, 0], [1, 8, 18, 437, 12, 2915, 319, 5874, 561, 4686, 88, 1353, 18, 87, 7, 0], [1, 8, 19, 417, 165, 2266, 2079, 2607, 4851, 660, 2761, 143, 359, 42, 5, 1], [1, 8, 19, 418, 154, 2321, 1914, 2937, 4389, 1122, 2431, 308, 304, 53, 4, 1], [1, 8, 19, 419, 143, 2376, 1749, 3267, 3927, 1584, 2101, 473, 249, 64, 3, 1], [1, 8, 19, 419, 144, 2365, 1804, 3102, 4257, 1122, 2563, 143, 414, 9, 14, 0], [1, 8, 19, 420, 132, 2431, 1584, 3597, 3465, 2046, 1771, 638, 194, 75, 2, 1], [1, 8, 19, 420, 133, 2420, 1639, 3432, 3795, 1584, 2233, 308, 359, 20, 13, 0], [1, 8, 19, 421, 121, 2486, 1419, 3927, 3003, 2508, 1441, 803, 139, 86, 1, 1], [1, 8, 19, 421, 122, 2475, 1474, 3762, 3333, 2046, 1903, 473, 304, 31, 12, 0], [1, 8, 19, 422, 110, 2541, 1254, 4257, 2541, 2970, 1111, 968, 84, 97, 0, 1], [1, 8, 19, 422, 111, 2530, 1309, 4092, 2871, 2508, 1573, 638, 249, 42, 11, 0], [1, 8, 19, 423, 100, 2585, 1144, 4422, 2409, 2970, 1243, 803, 194, 53, 10, 0], [1, 8, 19, 424, 89, 2640, 979, 4752, 1947, 3432, 913, 968, 139, 64, 9, 0], [1, 8, 19, 425, 78, 2695, 814, 5082, 1485, 3894, 583, 1133, 84, 75, 8, 0], [1, 8, 19, 426, 67, 2750, 649, 5412, 1023, 4356, 253, 1298, 29, 86, 7, 0], [1, 8, 20, 406, 220, 2101, 2409, 2145, 5313, 330, 2926, 88, 370, 41, 5, 1], [1, 8, 20, 407, 209, 2156, 2244, 2475, 4851, 792, 2596, 253, 315, 52, 4, 1], [1, 8, 20, 408, 198, 2211, 2079, 2805, 4389, 1254, 2266, 418, 260, 63, 3, 1], [1, 8, 20, 408, 199, 2200, 2134, 2640, 4719, 792, 2728, 88, 425, 8, 14, 0], [1, 8, 20, 409, 187, 2266, 1914, 3135, 3927, 1716, 1936, 583, 205, 74, 2, 1], [1, 8, 20, 409, 188, 2255, 1969, 2970, 4257, 1254, 2398, 253, 370, 19, 13, 0], [1, 8, 20, 410, 176, 2321, 1749, 3465, 3465, 2178, 1606, 748, 150, 85, 1, 1], [1, 8, 20, 410, 177, 2310, 1804, 3300, 3795, 1716, 2068, 418, 315, 30, 12, 0], [1, 8, 20, 411, 165, 2376, 1584, 3795, 3003, 2640, 1276, 913, 95, 96, 0, 1], [1, 8, 20, 411, 166, 2365, 1639, 3630, 3333, 2178, 1738, 583, 260, 41, 11, 0], [1, 8, 20, 412, 155, 2420, 1474, 3960, 2871, 2640, 1408, 748, 205, 52, 10, 0], [1, 8, 20, 413, 144, 2475, 1309, 4290, 2409, 3102, 1078, 913, 150, 63, 9, 0], [1, 8, 20, 414, 133, 2530, 1144, 4620, 1947, 3564, 748, 1078, 95, 74, 8, 0], [1, 8, 20, 415, 122, 2585, 979, 4950, 1485, 4026, 418, 1243, 40, 85, 7, 0], [1, 8, 21, 395, 275, 1936, 2739, 1683, 5775, 0, 3091, 33, 381, 40, 5, 1], [1, 8, 21, 396, 264, 1991, 2574, 2013, 5313, 462, 2761, 198, 326, 51, 4, 1], [1, 8, 21, 397, 253, 2046, 2409, 2343, 4851, 924, 2431, 363, 271, 62, 3, 1], [1, 8, 21, 397, 254, 2035, 2464, 2178, 5181, 462, 2893, 33, 436, 7, 14, 0], [1, 8, 21, 398, 242, 2101, 2244, 2673, 4389, 1386, 2101, 528, 216, 73, 2, 1], [1, 8, 21, 398, 243, 2090, 2299, 2508, 4719, 924, 2563, 198, 381, 18, 13, 0], [1, 8, 21, 399, 231, 2156, 2079, 3003, 3927, 1848, 1771, 693, 161, 84, 1, 1], [1, 8, 21, 399, 232, 2145, 2134, 2838, 4257, 1386, 2233, 363, 326, 29, 12, 0], [1, 8, 21, 400, 220, 2211, 1914, 3333, 3465, 2310, 1441, 858, 106, 95, 0, 1], [1, 8, 21, 400, 221, 2200, 1969, 3168, 3795, 1848, 1903, 528, 271, 40, 11, 0], [1, 8, 21, 401, 210, 2255, 1804, 3498, 3333, 2310, 1573, 693, 216, 51, 10, 0], [1, 8, 21, 402, 199, 2310, 1639, 3828, 2871, 2772, 1243, 858, 161, 62, 9, 0], [1, 8, 21, 403, 188, 2365, 1474, 4158, 2409, 3234, 913, 1023, 106, 73, 8, 0], [1, 8, 21, 404, 177, 2420, 1309, 4488, 1947, 3696, 583, 1188, 51, 84, 7, 0], [1, 8, 22, 385, 319, 1826, 2904, 1551, 5775, 132, 2926, 143, 337, 50, 4, 1], [1, 8, 22, 386, 308, 1881, 2739, 1881, 5313, 594, 2596, 308, 282, 61, 3, 1], [1, 8, 22, 387, 297, 1936, 2574, 2211, 4851, 1056, 2266, 473, 227, 72, 2, 1], [1, 8, 22, 387, 298, 1925, 2629, 2046, 5181, 594, 2728, 143, 392, 17, 13, 0], [1, 8, 22, 388, 286, 1991, 2409, 2541, 4389, 1518, 1936, 638, 172, 83, 1, 1], [1, 8, 22, 388, 287, 1980, 2464, 2376, 4719, 1056, 2398, 308, 337, 28, 12, 0], [1, 8, 22, 389, 275, 2046, 2244, 2871, 3927, 1980, 1606, 803, 117, 94, 0, 1], [1, 8, 22, 389, 276, 2035, 2299, 2706, 4257, 1518, 2068, 473, 282, 39, 11, 0], [1, 8, 22, 390, 265, 2090, 2134, 3036, 3795, 1980, 1738, 638, 227, 50, 10, 0], [1, 8, 22, 391, 254, 2145, 1969, 3366, 3333, 2442, 1408, 803, 172, 61, 9, 0], [1, 8, 22, 392, 243, 2200, 1804, 3696, 2871, 2904, 1078, 968, 117, 72, 8, 0], [1, 8, 22, 393, 232, 2255, 1639, 4026, 2409, 3366, 748, 1133, 62, 83, 7, 0], [1, 8, 22, 394, 221, 2310, 1474, 4356, 1947, 3828, 418, 1298, 7, 94, 6, 0], [1, 8, 23, 375, 363, 1716, 3069, 1419, 5775, 264, 2761, 253, 293, 60, 3, 1], [1, 8, 23, 376, 352, 1771, 2904, 1749, 5313, 726, 2431, 418, 238, 71, 2, 1], [1, 8, 23, 376, 353, 1760, 2959, 1584, 5643, 264, 2893, 88, 403, 16, 13, 0], [1, 8, 23, 377, 341, 1826, 2739, 2079, 4851, 1188, 2101, 583, 183, 82, 1, 1], [1, 8, 23, 377, 342, 1815, 2794, 1914, 5181, 726, 2563, 253, 348, 27, 12, 0], [1, 8, 23, 378, 330, 1881, 2574, 2409, 4389, 1650, 1771, 748, 128, 93, 0, 1], [1, 8, 23, 378, 331, 1870, 2629, 2244, 4719, 1188, 2233, 418, 293, 38, 11, 0], [1, 8, 23, 379, 320, 1925, 2464, 2574, 4257, 1650, 1903, 583, 238, 49, 10, 0], [1, 8, 23, 380, 309, 1980, 2299, 2904, 3795, 2112, 1573, 748, 183, 60, 9, 0], [1, 8, 23, 381, 298, 2035, 2134, 3234, 3333, 2574, 1243, 913, 128, 71, 8, 0], [1, 8, 23, 382, 287, 2090, 1969, 3564, 2871, 3036, 913, 1078, 73, 82, 7, 0], [1, 8, 23, 383, 276, 2145, 1804, 3894, 2409, 3498, 583, 1243, 18, 93, 6, 0], [1, 8, 24, 365, 407, 1606, 3234, 1287, 5775, 396, 2596, 363, 249, 70, 2, 1], [1, 8, 24, 366, 396, 1661, 3069, 1617, 5313, 858, 2266, 528, 194, 81, 1, 1], [1, 8, 24, 366, 397, 1650, 3124, 1452, 5643, 396, 2728, 198, 359, 26, 12, 0], [1, 8, 24, 367, 385, 1716, 2904, 1947, 4851, 1320, 1936, 693, 139, 92, 0, 1], [1, 8, 24, 367, 386, 1705, 2959, 1782, 5181, 858, 2398, 363, 304, 37, 11, 0], [1, 8, 24, 368, 375, 1760, 2794, 2112, 4719, 1320, 2068, 528, 249, 48, 10, 0], [1, 8, 24, 369, 364, 1815, 2629, 2442, 4257, 1782, 1738, 693, 194, 59, 9, 0], [1, 8, 24, 370, 353, 1870, 2464, 2772, 3795, 2244, 1408, 858, 139, 70, 8, 0], [1, 8, 24, 371, 342, 1925, 2299, 3102, 3333, 2706, 1078, 1023, 84, 81, 7, 0], [1, 8, 24, 372, 331, 1980, 2134, 3432, 2871, 3168, 748, 1188, 29, 92, 6, 0], [1, 8, 25, 354, 462, 1441, 3564, 825, 6237, 66, 2761, 308, 260, 69, 2, 1], [1, 8, 25, 355, 451, 1496, 3399, 1155, 5775, 528, 2431, 473, 205, 80, 1, 1], [1, 8, 25, 355, 452, 1485, 3454, 990, 6105, 66, 2893, 143, 370, 25, 12, 0], [1, 8, 25, 356, 440, 1551, 3234, 1485, 5313, 990, 2101, 638, 150, 91, 0, 1], [1, 8, 25, 356, 441, 1540, 3289, 1320, 5643, 528, 2563, 308, 315, 36, 11, 0], [1, 8, 25, 357, 430, 1595, 3124, 1650, 5181, 990, 2233, 473, 260, 47, 10, 0], [1, 8, 25, 358, 419, 1650, 2959, 1980, 4719, 1452, 1903, 638, 205, 58, 9, 0], [1, 8, 25, 359, 408, 1705, 2794, 2310, 4257, 1914, 1573, 803, 150, 69, 8, 0], [1, 8, 25, 360, 397, 1760, 2629, 2640, 3795, 2376, 1243, 968, 95, 80, 7, 0], [1, 8, 25, 361, 386, 1815, 2464, 2970, 3333, 2838, 913, 1133, 40, 91, 6, 0], [1, 8, 26, 344, 506, 1331, 3729, 693, 6237, 198, 2596, 418, 216, 79, 1, 1], [1, 8, 26, 345, 495, 1386, 3564, 1023, 5775, 660, 2266, 583, 161, 90, 0, 1], [1, 8, 26, 345, 496, 1375, 3619, 858, 6105, 198, 2728, 253, 326, 35, 11, 0], [1, 8, 26, 346, 485, 1430, 3454, 1188, 5643, 660, 2398, 418, 271, 46, 10, 0], [1, 8, 26, 347, 474, 1485, 3289, 1518, 5181, 1122, 2068, 583, 216, 57, 9, 0], [1, 8, 26, 348, 463, 1540, 3124, 1848, 4719, 1584, 1738, 748, 161, 68, 8, 0], [1, 8, 26, 349, 452, 1595, 2959, 2178, 4257, 2046, 1408, 913, 106, 79, 7, 0], [1, 8, 26, 350, 441, 1650, 2794, 2508, 3795, 2508, 1078, 1078, 51, 90, 6, 0], [1, 8, 27, 334, 550, 1221, 3894, 561, 6237, 330, 2431, 528, 172, 89, 0, 1], [1, 8, 27, 335, 540, 1265, 3784, 726, 6105, 330, 2563, 363, 282, 45, 10, 0], [1, 8, 27, 336, 529, 1320, 3619, 1056, 5643, 792, 2233, 528, 227, 56, 9, 0], [1, 8, 27, 337, 518, 1375, 3454, 1386, 5181, 1254, 1903, 693, 172, 67, 8, 0], [1, 8, 27, 338, 507, 1430, 3289, 1716, 4719, 1716, 1573, 858, 117, 78, 7, 0], [1, 8, 27, 339, 496, 1485, 3124, 2046, 4257, 2178, 1243, 1023, 62, 89, 6, 0], [1, 8, 27, 340, 485, 1540, 2959, 2376, 3795, 2640, 913, 1188, 7, 100, 5, 0], [1, 8, 28, 323, 605, 1056, 4224, 99, 6699, 0, 2596, 473, 183, 88, 0, 1], [1, 8, 28, 324, 595, 1100, 4114, 264, 6567, 0, 2728, 308, 293, 44, 10, 0], [1, 8, 28, 325, 584, 1155, 3949, 594, 6105, 462, 2398, 473, 238, 55, 9, 0], [1, 8, 28, 326, 573, 1210, 3784, 924, 5643, 924, 2068, 638, 183, 66, 8, 0], [1, 8, 28, 327, 562, 1265, 3619, 1254, 5181, 1386, 1738, 803, 128, 77, 7, 0], [1, 8, 28, 328, 551, 1320, 3454, 1584, 4719, 1848, 1408, 968, 73, 88, 6, 0], [1, 8, 28, 329, 540, 1375, 3289, 1914, 4257, 2310, 1078, 1133, 18, 99, 5, 0], [1, 8, 29, 314, 639, 990, 4279, 132, 6567, 132, 2563, 418, 249, 54, 9, 0], [1, 8, 29, 315, 628, 1045, 4114, 462, 6105, 594, 2233, 583, 194, 65, 8, 0], [1, 8, 29, 316, 617, 1100, 3949, 792, 5643, 1056, 1903, 748, 139, 76, 7, 0], [1, 8, 29, 317, 606, 1155, 3784, 1122, 5181, 1518, 1573, 913, 84, 87, 6, 0], [1, 8, 29, 318, 595, 1210, 3619, 1452, 4719, 1980, 1243, 1078, 29, 98, 5, 0], [1, 8, 30, 304, 683, 880, 4444, 0, 6567, 264, 2398, 528, 205, 64, 8, 0], [1, 8, 30, 305, 672, 935, 4279, 330, 6105, 726, 2068, 693, 150, 75, 7, 0], [1, 8, 30, 306, 661, 990, 4114, 660, 5643, 1188, 1738, 858, 95, 86, 6, 0], [1, 8, 30, 307, 650, 1045, 3949, 990, 5181, 1650, 1408, 1023, 40, 97, 5, 0], [1, 8, 31, 295, 716, 825, 4444, 198, 6105, 858, 1903, 803, 106, 85, 6, 0], [1, 8, 31, 296, 705, 880, 4279, 528, 5643, 1320, 1573, 968, 51, 96, 5, 0], [1, 8, 32, 285, 760, 715, 4609, 66, 6105, 990, 1738, 913, 62, 95, 5, 0], [1, 8, 32, 286, 749, 770, 4444, 396, 5643, 1452, 1408, 1078, 7, 106, 4, 0], [1, 9, 8, 472, 0, 2596, 1617, 3069, 4521, 825, 2706, 154, 358, 42, 5, 1], [1, 9, 9, 461, 55, 2431, 1947, 2607, 4983, 495, 2871, 99, 369, 41, 5, 1], [1, 9, 9, 462, 44, 2486, 1782, 2937, 4521, 957, 2541, 264, 314, 52, 4, 1], [1, 9, 9, 463, 33, 2541, 1617, 3267, 4059, 1419, 2211, 429, 259, 63, 3, 1], [1, 9, 9, 463, 34, 2530, 1672, 3102, 4389, 957, 2673, 99, 424, 8, 14, 0], [1, 9, 9, 464, 22, 2596, 1452, 3597, 3597, 1881, 1881, 594, 204, 74, 2, 1], [1, 9, 9, 464, 23, 2585, 1507, 3432, 3927, 1419, 2343, 264, 369, 19, 13, 0], [1, 9, 9, 465, 11, 2651, 1287, 3927, 3135, 2343, 1551, 759, 149, 85, 1, 1], [1, 9, 9, 465, 12, 2640, 1342, 3762, 3465, 1881, 2013, 429, 314, 30, 12, 0], [1, 9, 9, 466, 0, 2706, 1122, 4257, 2673, 2805, 1221, 924, 94, 96, 0, 1], [1, 9, 9, 466, 1, 2695, 1177, 4092, 3003, 2343, 1683, 594, 259, 41, 11, 0], [1, 9, 10, 450, 110, 2266, 2277, 2145, 5445, 165, 3036, 44, 380, 40, 5, 1], [1, 9, 10, 451, 99, 2321, 2112, 2475, 4983, 627, 2706, 209, 325, 51, 4, 1], [1, 9, 10, 452, 88, 2376, 1947, 2805, 4521, 1089, 2376, 374, 270, 62, 3, 1], [1, 9, 10, 452, 89, 2365, 2002, 2640, 4851, 627, 2838, 44, 435, 7, 14, 0], [1, 9, 10, 453, 77, 2431, 1782, 3135, 4059, 1551, 2046, 539, 215, 73, 2, 1], [1, 9, 10, 453, 78, 2420, 1837, 2970, 4389, 1089, 2508, 209, 380, 18, 13, 0], [1, 9, 10, 454, 66, 2486, 1617, 3465, 3597, 2013, 1716, 704, 160, 84, 1, 1], [1, 9, 10, 454, 67, 2475, 1672, 3300, 3927, 1551, 2178, 374, 325, 29, 12, 0], [1, 9, 10, 455, 55, 2541, 1452, 3795, 3135, 2475, 1386, 869, 105, 95, 0, 1], [1, 9, 10, 455, 56, 2530, 1507, 3630, 3465, 2013, 1848, 539, 270, 40, 11, 0], [1, 9, 10, 456, 45, 2585, 1342, 3960, 3003, 2475, 1518, 704, 215, 51, 10, 0], [1, 9, 10, 457, 34, 2640, 1177, 4290, 2541, 2937, 1188, 869, 160, 62, 9, 0], [1, 9, 10, 458, 23, 2695, 1012, 4620, 2079, 3399, 858, 1034, 105, 73, 8, 0], [1, 9, 10, 459, 12, 2750, 847, 4950, 1617, 3861, 528, 1199, 50, 84, 7, 0], [1, 9, 11, 440, 154, 2156, 2442, 2013, 5445, 297, 2871, 154, 336, 50, 4, 1], [1, 9, 11, 441, 143, 2211, 2277, 2343, 4983, 759, 2541, 319, 281, 61, 3, 1], [1, 9, 11, 442, 132, 2266, 2112, 2673, 4521, 1221, 2211, 484, 226, 72, 2, 1], [1, 9, 11, 442, 133, 2255, 2167, 2508, 4851, 759, 2673, 154, 391, 17, 13, 0], [1, 9, 11, 443, 121, 2321, 1947, 3003, 4059, 1683, 1881, 649, 171, 83, 1, 1], [1, 9, 11, 443, 122, 2310, 2002, 2838, 4389, 1221, 2343, 319, 336, 28, 12, 0], [1, 9, 11, 444, 110, 2376, 1782, 3333, 3597, 2145, 1551, 814, 116, 94, 0, 1], [1, 9, 11, 444, 111, 2365, 1837, 3168, 3927, 1683, 2013, 484, 281, 39, 11, 0], [1, 9, 11, 445, 100, 2420, 1672, 3498, 3465, 2145, 1683, 649, 226, 50, 10, 0], [1, 9, 11, 446, 89, 2475, 1507, 3828, 3003, 2607, 1353, 814, 171, 61, 9, 0], [1, 9, 11, 447, 78, 2530, 1342, 4158, 2541, 3069, 1023, 979, 116, 72, 8, 0], [1, 9, 11, 448, 67, 2585, 1177, 4488, 2079, 3531, 693, 1144, 61, 83, 7, 0], [1, 9, 11, 449, 56, 2640, 1012, 4818, 1617, 3993, 363, 1309, 6, 94, 6, 0], [1, 9, 12, 430, 198, 2046, 2607, 1881, 5445, 429, 2706, 264, 292, 60, 3, 1], [1, 9, 12, 431, 187, 2101, 2442, 2211, 4983, 891, 2376, 429, 237, 71, 2, 1], [1, 9, 12, 431, 188, 2090, 2497, 2046, 5313, 429, 2838, 99, 402, 16, 13, 0], [1, 9, 12, 432, 176, 2156, 2277, 2541, 4521, 1353, 2046, 594, 182, 82, 1, 1], [1, 9, 12, 432, 177, 2145, 2332, 2376, 4851, 891, 2508, 264, 347, 27, 12, 0], [1, 9, 12, 433, 165, 2211, 2112, 2871, 4059, 1815, 1716, 759, 127, 93, 0, 1], [1, 9, 12, 433, 166, 2200, 2167, 2706, 4389, 1353, 2178, 429, 292, 38, 11, 0], [1, 9, 12, 434, 155, 2255, 2002, 3036, 3927, 1815, 1848, 594, 237, 49, 10, 0], [1, 9, 12, 435, 144, 2310, 1837, 3366, 3465, 2277, 1518, 759, 182, 60, 9, 0], [1, 9, 12, 436, 133, 2365, 1672, 3696, 3003, 2739, 1188, 924, 127, 71, 8, 0], [1, 9, 12, 437, 122, 2420, 1507, 4026, 2541, 3201, 858, 1089, 72, 82, 7, 0], [1, 9, 12, 438, 111, 2475, 1342, 4356, 2079, 3663, 528, 1254, 17, 93, 6, 0], [1, 9, 13, 419, 253, 1881, 2937, 1419, 5907, 99, 2871, 209, 303, 59, 3, 1], [1, 9, 13, 420, 242, 1936, 2772, 1749, 5445, 561, 2541, 374, 248, 70, 2, 1], [1, 9, 13, 420, 243, 1925, 2827, 1584, 5775, 99, 3003, 44, 413, 15, 13, 0], [1, 9, 13, 421, 231, 1991, 2607, 2079, 4983, 1023, 2211, 539, 193, 81, 1, 1], [1, 9, 13, 421, 232, 1980, 2662, 1914, 5313, 561, 2673, 209, 358, 26, 12, 0], [1, 9, 13, 422, 220, 2046, 2442, 2409, 4521, 1485, 1881, 704, 138, 92, 0, 1], [1, 9, 13, 422, 221, 2035, 2497, 2244, 4851, 1023, 2343, 374, 303, 37, 11, 0], [1, 9, 13, 423, 210, 2090, 2332, 2574, 4389, 1485, 2013, 539, 248, 48, 10, 0], [1, 9, 13, 424, 199, 2145, 2167, 2904, 3927, 1947, 1683, 704, 193, 59, 9, 0], [1, 9, 13, 425, 188, 2200, 2002, 3234, 3465, 2409, 1353, 869, 138, 70, 8, 0], [1, 9, 13, 426, 177, 2255, 1837, 3564, 3003, 2871, 1023, 1034, 83, 81, 7, 0], [1, 9, 13, 427, 166, 2310, 1672, 3894, 2541, 3333, 693, 1199, 28, 92, 6, 0], [1, 9, 14, 409, 297, 1771, 3102, 1287, 5907, 231, 2706, 319, 259, 69, 2, 1], [1, 9, 14, 410, 286, 1826, 2937, 1617, 5445, 693, 2376, 484, 204, 80, 1, 1], [1, 9, 14, 410, 287, 1815, 2992, 1452, 5775, 231, 2838, 154, 369, 25, 12, 0], [1, 9, 14, 411, 275, 1881, 2772, 1947, 4983, 1155, 2046, 649, 149, 91, 0, 1], [1, 9, 14, 411, 276, 1870, 2827, 1782, 5313, 693, 2508, 319, 314, 36, 11, 0], [1, 9, 14, 412, 265, 1925, 2662, 2112, 4851, 1155, 2178, 484, 259, 47, 10, 0], [1, 9, 14, 413, 254, 1980, 2497, 2442, 4389, 1617, 1848, 649, 204, 58, 9, 0], [1, 9, 14, 414, 243, 2035, 2332, 2772, 3927, 2079, 1518, 814, 149, 69, 8, 0], [1, 9, 14, 415, 232, 2090, 2167, 3102, 3465, 2541, 1188, 979, 94, 80, 7, 0], [1, 9, 14, 416, 221, 2145, 2002, 3432, 3003, 3003, 858, 1144, 39, 91, 6, 0], [1, 9, 15, 399, 341, 1661, 3267, 1155, 5907, 363, 2541, 429, 215, 79, 1, 1], [1, 9, 15, 400, 330, 1716, 3102, 1485, 5445, 825, 2211, 594, 160, 90, 0, 1], [1, 9, 15, 400, 331, 1705, 3157, 1320, 5775, 363, 2673, 264, 325, 35, 11, 0], [1, 9, 15, 401, 320, 1760, 2992, 1650, 5313, 825, 2343, 429, 270, 46, 10, 0], [1, 9, 15, 402, 309, 1815, 2827, 1980, 4851, 1287, 2013, 594, 215, 57, 9, 0], [1, 9, 15, 403, 298, 1870, 2662, 2310, 4389, 1749, 1683, 759, 160, 68, 8, 0], [1, 9, 15, 404, 287, 1925, 2497, 2640, 3927, 2211, 1353, 924, 105, 79, 7, 0], [1, 9, 15, 405, 276, 1980, 2332, 2970, 3465, 2673, 1023, 1089, 50, 90, 6, 0], [1, 9, 16, 388, 396, 1496, 3597, 693, 6369, 33, 2706, 374, 226, 78, 1, 1], [1, 9, 16, 389, 385, 1551, 3432, 1023, 5907, 495, 2376, 539, 171, 89, 0, 1], [1, 9, 16, 389, 386, 1540, 3487, 858, 6237, 33, 2838, 209, 336, 34, 11, 0], [1, 9, 16, 390, 375, 1595, 3322, 1188, 5775, 495, 2508, 374, 281, 45, 10, 0], [1, 9, 16, 391, 364, 1650, 3157, 1518, 5313, 957, 2178, 539, 226, 56, 9, 0], [1, 9, 16, 392, 353, 1705, 2992, 1848, 4851, 1419, 1848, 704, 171, 67, 8, 0], [1, 9, 16, 393, 342, 1760, 2827, 2178, 4389, 1881, 1518, 869, 116, 78, 7, 0], [1, 9, 16, 394, 331, 1815, 2662, 2508, 3927, 2343, 1188, 1034, 61, 89, 6, 0], [1, 9, 16, 395, 320, 1870, 2497, 2838, 3465, 2805, 858, 1199, 6, 100, 5, 0], [1, 9, 17, 378, 440, 1386, 3762, 561, 6369, 165, 2541, 484, 182, 88, 0, 1], [1, 9, 17, 379, 430, 1430, 3652, 726, 6237, 165, 2673, 319, 292, 44, 10, 0], [1, 9, 17, 380, 419, 1485, 3487, 1056, 5775, 627, 2343, 484, 237, 55, 9, 0], [1, 9, 17, 381, 408, 1540, 3322, 1386, 5313, 1089, 2013, 649, 182, 66, 8, 0], [1, 9, 17, 382, 397, 1595, 3157, 1716, 4851, 1551, 1683, 814, 127, 77, 7, 0], [1, 9, 17, 383, 386, 1650, 2992, 2046, 4389, 2013, 1353, 979, 72, 88, 6, 0], [1, 9, 17, 384, 375, 1705, 2827, 2376, 3927, 2475, 1023, 1144, 17, 99, 5, 0], [1, 9, 18, 369, 474, 1320, 3817, 594, 6237, 297, 2508, 429, 248, 54, 9, 0], [1, 9, 18, 370, 463, 1375, 3652, 924, 5775, 759, 2178, 594, 193, 65, 8, 0], [1, 9, 18, 371, 452, 1430, 3487, 1254, 5313, 1221, 1848, 759, 138, 76, 7, 0], [1, 9, 18, 372, 441, 1485, 3322, 1584, 4851, 1683, 1518, 924, 83, 87, 6, 0], [1, 9, 18, 373, 430, 1540, 3157, 1914, 4389, 2145, 1188, 1089, 28, 98, 5, 0], [1, 9, 19, 359, 518, 1210, 3982, 462, 6237, 429, 2343, 539, 204, 64, 8, 0], [1, 9, 19, 360, 507, 1265, 3817, 792, 5775, 891, 2013, 704, 149, 75, 7, 0], [1, 9, 19, 361, 496, 1320, 3652, 1122, 5313, 1353, 1683, 869, 94, 86, 6, 0], [1, 9, 19, 362, 485, 1375, 3487, 1452, 4851, 1815, 1353, 1034, 39, 97, 5, 0], [1, 9, 20, 348, 573, 1045, 4312, 0, 6699, 99, 2508, 484, 215, 63, 8, 0], [1, 9, 20, 349, 562, 1100, 4147, 330, 6237, 561, 2178, 649, 160, 74, 7, 0], [1, 9, 20, 350, 551, 1155, 3982, 660, 5775, 1023, 1848, 814, 105, 85, 6, 0], [1, 9, 20, 351, 540, 1210, 3817, 990, 5313, 1485, 1518, 979, 50, 96, 5, 0], [1, 9, 21, 339, 606, 990, 4312, 198, 6237, 693, 2013, 759, 116, 84, 6, 0], [1, 9, 21, 340, 595, 1045, 4147, 528, 5775, 1155, 1683, 924, 61, 95, 5, 0], [1, 9, 21, 341, 584, 1100, 3982, 858, 5313, 1617, 1353, 1089, 6, 106, 4, 0], [1, 9, 22, 329, 650, 880, 4477, 66, 6237, 825, 1848, 869, 72, 94, 5, 0], [1, 9, 22, 330, 639, 935, 4312, 396, 5775, 1287, 1518, 1034, 17, 105, 4, 0], [1, 10, 0, 494, 0, 2431, 2145, 2145, 5577, 0, 3146, 0, 390, 39, 5, 1], [1, 10, 1, 484, 44, 2321, 2310, 2013, 5577, 132, 2981, 110, 346, 49, 4, 1], [1, 10, 1, 485, 33, 2376, 2145, 2343, 5115, 594, 2651, 275, 291, 60, 3, 1], [1, 10, 1, 486, 22, 2431, 1980, 2673, 4653, 1056, 2321, 440, 236, 71, 2, 1], [1, 10, 1, 486, 23, 2420, 2035, 2508, 4983, 594, 2783, 110, 401, 16, 13, 0], [1, 10, 1, 487, 11, 2486, 1815, 3003, 4191, 1518, 1991, 605, 181, 82, 1, 1], [1, 10, 1, 487, 12, 2475, 1870, 2838, 4521, 1056, 2453, 275, 346, 27, 12, 0], [1, 10, 1, 488, 0, 2541, 1650, 3333, 3729, 1980, 1661, 770, 126, 93, 0, 1], [1, 10, 1, 488, 1, 2530, 1705, 3168, 4059, 1518, 2123, 440, 291, 38, 11, 0], [1, 10, 2, 474, 88, 2211, 2475, 1881, 5577, 264, 2816, 220, 302, 59, 3, 1], [1, 10, 2, 475, 77, 2266, 2310, 2211, 5115, 726, 2486, 385, 247, 70, 2, 1], [1, 10, 2, 475, 78, 2255, 2365, 2046, 5445, 264, 2948, 55, 412, 15, 13, 0], [1, 10, 2, 476, 66, 2321, 2145, 2541, 4653, 1188, 2156, 550, 192, 81, 1, 1], [1, 10, 2, 476, 67, 2310, 2200, 2376, 4983, 726, 2618, 220, 357, 26, 12, 0], [1, 10, 2, 477, 55, 2376, 1980, 2871, 4191, 1650, 1826, 715, 137, 92, 0, 1], [1, 10, 2, 477, 56, 2365, 2035, 2706, 4521, 1188, 2288, 385, 302, 37, 11, 0], [1, 10, 2, 478, 45, 2420, 1870, 3036, 4059, 1650, 1958, 550, 247, 48, 10, 0], [1, 10, 2, 479, 34, 2475, 1705, 3366, 3597, 2112, 1628, 715, 192, 59, 9, 0], [1, 10, 2, 480, 23, 2530, 1540, 3696, 3135, 2574, 1298, 880, 137, 70, 8, 0], [1, 10, 2, 481, 12, 2585, 1375, 4026, 2673, 3036, 968, 1045, 82, 81, 7, 0], [1, 10, 2, 482, 1, 2640, 1210, 4356, 2211, 3498, 638, 1210, 27, 92, 6, 0], [1, 10, 3, 464, 132, 2101, 2640, 1749, 5577, 396, 2651, 330, 258, 69, 2, 1], [1, 10, 3, 465, 121, 2156, 2475, 2079, 5115, 858, 2321, 495, 203, 80, 1, 1], [1, 10, 3, 465, 122, 2145, 2530, 1914, 5445, 396, 2783, 165, 368, 25, 12, 0], [1, 10, 3, 466, 110, 2211, 2310, 2409, 4653, 1320, 1991, 660, 148, 91, 0, 1], [1, 10, 3, 466, 111, 2200, 2365, 2244, 4983, 858, 2453, 330, 313, 36, 11, 0], [1, 10, 3, 467, 100, 2255, 2200, 2574, 4521, 1320, 2123, 495, 258, 47, 10, 0], [1, 10, 3, 468, 89, 2310, 2035, 2904, 4059, 1782, 1793, 660, 203, 58, 9, 0], [1, 10, 3, 469, 78, 2365, 1870, 3234, 3597, 2244, 1463, 825, 148, 69, 8, 0], [1, 10, 3, 470, 67, 2420, 1705, 3564, 3135, 2706, 1133, 990, 93, 80, 7, 0], [1, 10, 3, 471, 56, 2475, 1540, 3894, 2673, 3168, 803, 1155, 38, 91, 6, 0], [1, 10, 4, 453, 187, 1936, 2970, 1287, 6039, 66, 2816, 275, 269, 68, 2, 1], [1, 10, 4, 454, 176, 1991, 2805, 1617, 5577, 528, 2486, 440, 214, 79, 1, 1], [1, 10, 4, 454, 177, 1980, 2860, 1452, 5907, 66, 2948, 110, 379, 24, 12, 0], [1, 10, 4, 455, 165, 2046, 2640, 1947, 5115, 990, 2156, 605, 159, 90, 0, 1], [1, 10, 4, 455, 166, 2035, 2695, 1782, 5445, 528, 2618, 275, 324, 35, 11, 0], [1, 10, 4, 456, 155, 2090, 2530, 2112, 4983, 990, 2288, 440, 269, 46, 10, 0], [1, 10, 4, 457, 144, 2145, 2365, 2442, 4521, 1452, 1958, 605, 214, 57, 9, 0], [1, 10, 4, 458, 133, 2200, 2200, 2772, 4059, 1914, 1628, 770, 159, 68, 8, 0], [1, 10, 4, 459, 122, 2255, 2035, 3102, 3597, 2376, 1298, 935, 104, 79, 7, 0], [1, 10, 4, 460, 111, 2310, 1870, 3432, 3135, 2838, 968, 1100, 49, 90, 6, 0], [1, 10, 5, 443, 231, 1826, 3135, 1155, 6039, 198, 2651, 385, 225, 78, 1, 1], [1, 10, 5, 444, 220, 1881, 2970, 1485, 5577, 660, 2321, 550, 170, 89, 0, 1], [1, 10, 5, 444, 221, 1870, 3025, 1320, 5907, 198, 2783, 220, 335, 34, 11, 0], [1, 10, 5, 445, 210, 1925, 2860, 1650, 5445, 660, 2453, 385, 280, 45, 10, 0], [1, 10, 5, 446, 199, 1980, 2695, 1980, 4983, 1122, 2123, 550, 225, 56, 9, 0], [1, 10, 5, 447, 188, 2035, 2530, 2310, 4521, 1584, 1793, 715, 170, 67, 8, 0], [1, 10, 5, 448, 177, 2090, 2365, 2640, 4059, 2046, 1463, 880, 115, 78, 7, 0], [1, 10, 5, 449, 166, 2145, 2200, 2970, 3597, 2508, 1133, 1045, 60, 89, 6, 0], [1, 10, 5, 450, 155, 2200, 2035, 3300, 3135, 2970, 803, 1210, 5, 100, 5, 0], [1, 10, 6, 433, 275, 1716, 3300, 1023, 6039, 330, 2486, 495, 181, 88, 0, 1], [1, 10, 6, 434, 265, 1760, 3190, 1188, 5907, 330, 2618, 330, 291, 44, 10, 0], [1, 10, 6, 435, 254, 1815, 3025, 1518, 5445, 792, 2288, 495, 236, 55, 9, 0], [1, 10, 6, 436, 243, 1870, 2860, 1848, 4983, 1254, 1958, 660, 181, 66, 8, 0], [1, 10, 6, 437, 232, 1925, 2695, 2178, 4521, 1716, 1628, 825, 126, 77, 7, 0], [1, 10, 6, 438, 221, 1980, 2530, 2508, 4059, 2178, 1298, 990, 71, 88, 6, 0], [1, 10, 6, 439, 210, 2035, 2365, 2838, 3597, 2640, 968, 1155, 16, 99, 5, 0], [1, 10, 7, 422, 330, 1551, 3630, 561, 6501, 0, 2651, 440, 192, 87, 0, 1], [1, 10, 7, 423, 320, 1595, 3520, 726, 6369, 0, 2783, 275, 302, 43, 10, 0], [1, 10, 7, 424, 309, 1650, 3355, 1056, 5907, 462, 2453, 440, 247, 54, 9, 0], [1, 10, 7, 425, 298, 1705, 3190, 1386, 5445, 924, 2123, 605, 192, 65, 8, 0], [1, 10, 7, 426, 287, 1760, 3025, 1716, 4983, 1386, 1793, 770, 137, 76, 7, 0], [1, 10, 7, 427, 276, 1815, 2860, 2046, 4521, 1848, 1463, 935, 82, 87, 6, 0], [1, 10, 7, 428, 265, 1870, 2695, 2376, 4059, 2310, 1133, 1100, 27, 98, 5, 0], [1, 10, 8, 413, 364, 1485, 3685, 594, 6369, 132, 2618, 385, 258, 53, 9, 0], [1, 10, 8, 414, 353, 1540, 3520, 924, 5907, 594, 2288, 550, 203, 64, 8, 0], [1, 10, 8, 415, 342, 1595, 3355, 1254, 5445, 1056, 1958, 715, 148, 75, 7, 0], [1, 10, 8, 416, 331, 1650, 3190, 1584, 4983, 1518, 1628, 880, 93, 86, 6, 0], [1, 10, 8, 417, 320, 1705, 3025, 1914, 4521, 1980, 1298, 1045, 38, 97, 5, 0], [1, 10, 9, 403, 408, 1375, 3850, 462, 6369, 264, 2453, 495, 214, 63, 8, 0], [1, 10, 9, 404, 397, 1430, 3685, 792, 5907, 726, 2123, 660, 159, 74, 7, 0], [1, 10, 9, 405, 386, 1485, 3520, 1122, 5445, 1188, 1793, 825, 104, 85, 6, 0], [1, 10, 9, 406, 375, 1540, 3355, 1452, 4983, 1650, 1463, 990, 49, 96, 5, 0], [1, 10, 10, 393, 452, 1265, 4015, 330, 6369, 396, 2288, 605, 170, 73, 7, 0], [1, 10, 10, 394, 441, 1320, 3850, 660, 5907, 858, 1958, 770, 115, 84, 6, 0], [1, 10, 10, 395, 430, 1375, 3685, 990, 5445, 1320, 1628, 935, 60, 95, 5, 0], [1, 10, 10, 396, 419, 1430, 3520, 1320, 4983, 1782, 1298, 1100, 5, 106, 4, 0], [1, 10, 11, 383, 496, 1155, 4180, 198, 6369, 528, 2123, 715, 126, 83, 6, 0], [1, 10, 11, 384, 485, 1210, 4015, 528, 5907, 990, 1793, 880, 71, 94, 5, 0], [1, 10, 11, 385, 474, 1265, 3850, 858, 5445, 1452, 1463, 1045, 16, 105, 4, 0], [1, 10, 12, 373, 540, 1045, 4345, 66, 6369, 660, 1958, 825, 82, 93, 5, 0], [1, 10, 12, 374, 529, 1100, 4180, 396, 5907, 1122, 1628, 990, 27, 104, 4, 0], [1, 11, 0, 437, 342, 1430, 3883, 330, 6501, 231, 2398, 561, 180, 72, 7, 0], [1, 11, 0, 438, 331, 1485, 3718, 660, 6039, 693, 2068, 726, 125, 83, 6, 0], [1, 11, 0, 439, 320, 1540, 3553, 990, 5577, 1155, 1738, 891, 70, 94, 5, 0], [1, 11, 0, 440, 309, 1595, 3388, 1320, 5115, 1617, 1408, 1056, 15, 105, 4, 0], [1, 11, 1, 427, 386, 1320, 4048, 198, 6501, 363, 2233, 671, 136, 82, 6, 0], [1, 11, 1, 428, 375, 1375, 3883, 528, 6039, 825, 1903, 836, 81, 93, 5, 0], [1, 11, 1, 429, 364, 1430, 3718, 858, 5577, 1287, 1573, 1001, 26, 104, 4, 0], [1, 11, 2, 417, 430, 1210, 4213, 66, 6501, 495, 2068, 781, 92, 92, 5, 0], [1, 11, 2, 418, 419, 1265, 4048, 396, 6039, 957, 1738, 946, 37, 103, 4, 0], [2, 0, 41, 416, 11, 2739, 1320, 3333, 4488, 638, 2937, 10, 411, 31, 6, 1], [2, 0, 41, 417, 0, 2794, 1155, 3663, 4026, 1100, 2607, 175, 356, 42, 5, 1], [2, 0, 42, 406, 55, 2629, 1485, 3201, 4488, 770, 2772, 120, 367, 41, 5, 1], [2, 0, 42, 407, 44, 2684, 1320, 3531, 4026, 1232, 2442, 285, 312, 52, 4, 1], [2, 0, 42, 408, 33, 2739, 1155, 3861, 3564, 1694, 2112, 450, 257, 63, 3, 1], [2, 0, 42, 408, 34, 2728, 1210, 3696, 3894, 1232, 2574, 120, 422, 8, 14, 0], [2, 0, 42, 409, 22, 2794, 990, 4191, 3102, 2156, 1782, 615, 202, 74, 2, 1], [2, 0, 42, 409, 23, 2783, 1045, 4026, 3432, 1694, 2244, 285, 367, 19, 13, 0], [2, 0, 42, 410, 11, 2849, 825, 4521, 2640, 2618, 1452, 780, 147, 85, 1, 1], [2, 0, 42, 410, 12, 2838, 880, 4356, 2970, 2156, 1914, 450, 312, 30, 12, 0], [2, 0, 42, 411, 0, 2904, 660, 4851, 2178, 3080, 1122, 945, 92, 96, 0, 1], [2, 0, 42, 411, 1, 2893, 715, 4686, 2508, 2618, 1584, 615, 257, 41, 11, 0], [2, 0, 43, 395, 110, 2464, 1815, 2739, 4950, 440, 2937, 65, 378, 40, 5, 1], [2, 0, 43, 396, 99, 2519, 1650, 3069, 4488, 902, 2607, 230, 323, 51, 4, 1], [2, 0, 43, 397, 88, 2574, 1485, 3399, 4026, 1364, 2277, 395, 268, 62, 3, 1], [2, 0, 43, 397, 89, 2563, 1540, 3234, 4356, 902, 2739, 65, 433, 7, 14, 0], [2, 0, 43, 398, 77, 2629, 1320, 3729, 3564, 1826, 1947, 560, 213, 73, 2, 1], [2, 0, 43, 398, 78, 2618, 1375, 3564, 3894, 1364, 2409, 230, 378, 18, 13, 0], [2, 0, 43, 399, 66, 2684, 1155, 4059, 3102, 2288, 1617, 725, 158, 84, 1, 1], [2, 0, 43, 399, 67, 2673, 1210, 3894, 3432, 1826, 2079, 395, 323, 29, 12, 0], [2, 0, 43, 400, 55, 2739, 990, 4389, 2640, 2750, 1287, 890, 103, 95, 0, 1], [2, 0, 43, 400, 56, 2728, 1045, 4224, 2970, 2288, 1749, 560, 268, 40, 11, 0], [2, 0, 43, 401, 45, 2783, 880, 4554, 2508, 2750, 1419, 725, 213, 51, 10, 0], [2, 0, 43, 402, 34, 2838, 715, 4884, 2046, 3212, 1089, 890, 158, 62, 9, 0], [2, 0, 43, 403, 23, 2893, 550, 5214, 1584, 3674, 759, 1055, 103, 73, 8, 0], [2, 0, 43, 404, 12, 2948, 385, 5544, 1122, 4136, 429, 1220, 48, 84, 7, 0], [2, 0, 44, 384, 165, 2299, 2145, 2277, 5412, 110, 3102, 10, 389, 39, 5, 1], [2, 0, 44, 385, 154, 2354, 1980, 2607, 4950, 572, 2772, 175, 334, 50, 4, 1], [2, 0, 44, 386, 143, 2409, 1815, 2937, 4488, 1034, 2442, 340, 279, 61, 3, 1], [2, 0, 44, 386, 144, 2398, 1870, 2772, 4818, 572, 2904, 10, 444, 6, 14, 0], [2, 0, 44, 387, 132, 2464, 1650, 3267, 4026, 1496, 2112, 505, 224, 72, 2, 1], [2, 0, 44, 387, 133, 2453, 1705, 3102, 4356, 1034, 2574, 175, 389, 17, 13, 0], [2, 0, 44, 388, 121, 2519, 1485, 3597, 3564, 1958, 1782, 670, 169, 83, 1, 1], [2, 0, 44, 388, 122, 2508, 1540, 3432, 3894, 1496, 2244, 340, 334, 28, 12, 0], [2, 0, 44, 389, 110, 2574, 1320, 3927, 3102, 2420, 1452, 835, 114, 94, 0, 1], [2, 0, 44, 389, 111, 2563, 1375, 3762, 3432, 1958, 1914, 505, 279, 39, 11, 0], [2, 0, 44, 390, 100, 2618, 1210, 4092, 2970, 2420, 1584, 670, 224, 50, 10, 0], [2, 0, 44, 391, 89, 2673, 1045, 4422, 2508, 2882, 1254, 835, 169, 61, 9, 0], [2, 0, 44, 392, 78, 2728, 880, 4752, 2046, 3344, 924, 1000, 114, 72, 8, 0], [2, 0, 44, 393, 67, 2783, 715, 5082, 1584, 3806, 594, 1165, 59, 83, 7, 0], [2, 0, 44, 394, 56, 2838, 550, 5412, 1122, 4268, 264, 1330, 4, 94, 6, 0], [2, 0, 45, 374, 209, 2189, 2310, 2145, 5412, 242, 2937, 120, 345, 49, 4, 1], [2, 0, 45, 375, 198, 2244, 2145, 2475, 4950, 704, 2607, 285, 290, 60, 3, 1], [2, 0, 45, 376, 187, 2299, 1980, 2805, 4488, 1166, 2277, 450, 235, 71, 2, 1], [2, 0, 45, 376, 188, 2288, 2035, 2640, 4818, 704, 2739, 120, 400, 16, 13, 0], [2, 0, 45, 377, 176, 2354, 1815, 3135, 4026, 1628, 1947, 615, 180, 82, 1, 1], [2, 0, 45, 377, 177, 2343, 1870, 2970, 4356, 1166, 2409, 285, 345, 27, 12, 0], [2, 0, 45, 378, 165, 2409, 1650, 3465, 3564, 2090, 1617, 780, 125, 93, 0, 1], [2, 0, 45, 378, 166, 2398, 1705, 3300, 3894, 1628, 2079, 450, 290, 38, 11, 0], [2, 0, 45, 379, 155, 2453, 1540, 3630, 3432, 2090, 1749, 615, 235, 49, 10, 0], [2, 0, 45, 380, 144, 2508, 1375, 3960, 2970, 2552, 1419, 780, 180, 60, 9, 0], [2, 0, 45, 381, 133, 2563, 1210, 4290, 2508, 3014, 1089, 945, 125, 71, 8, 0], [2, 0, 45, 382, 122, 2618, 1045, 4620, 2046, 3476, 759, 1110, 70, 82, 7, 0], [2, 0, 45, 383, 111, 2673, 880, 4950, 1584, 3938, 429, 1275, 15, 93, 6, 0], [2, 0, 46, 364, 253, 2079, 2475, 2013, 5412, 374, 2772, 230, 301, 59, 3, 1], [2, 0, 46, 365, 242, 2134, 2310, 2343, 4950, 836, 2442, 395, 246, 70, 2, 1], [2, 0, 46, 365, 243, 2123, 2365, 2178, 5280, 374, 2904, 65, 411, 15, 13, 0], [2, 0, 46, 366, 231, 2189, 2145, 2673, 4488, 1298, 2112, 560, 191, 81, 1, 1], [2, 0, 46, 366, 232, 2178, 2200, 2508, 4818, 836, 2574, 230, 356, 26, 12, 0], [2, 0, 46, 367, 220, 2244, 1980, 3003, 4026, 1760, 1782, 725, 136, 92, 0, 1], [2, 0, 46, 367, 221, 2233, 2035, 2838, 4356, 1298, 2244, 395, 301, 37, 11, 0], [2, 0, 46, 368, 210, 2288, 1870, 3168, 3894, 1760, 1914, 560, 246, 48, 10, 0], [2, 0, 46, 369, 199, 2343, 1705, 3498, 3432, 2222, 1584, 725, 191, 59, 9, 0], [2, 0, 46, 370, 188, 2398, 1540, 3828, 2970, 2684, 1254, 890, 136, 70, 8, 0], [2, 0, 46, 371, 177, 2453, 1375, 4158, 2508, 3146, 924, 1055, 81, 81, 7, 0], [2, 0, 46, 372, 166, 2508, 1210, 4488, 2046, 3608, 594, 1220, 26, 92, 6, 0], [2, 0, 47, 353, 308, 1914, 2805, 1551, 5874, 44, 2937, 175, 312, 58, 3, 1], [2, 0, 47, 354, 297, 1969, 2640, 1881, 5412, 506, 2607, 340, 257, 69, 2, 1], [2, 0, 47, 354, 298, 1958, 2695, 1716, 5742, 44, 3069, 10, 422, 14, 13, 0], [2, 0, 47, 355, 286, 2024, 2475, 2211, 4950, 968, 2277, 505, 202, 80, 1, 1], [2, 0, 47, 355, 287, 2013, 2530, 2046, 5280, 506, 2739, 175, 367, 25, 12, 0], [2, 0, 47, 356, 275, 2079, 2310, 2541, 4488, 1430, 1947, 670, 147, 91, 0, 1], [2, 0, 47, 356, 276, 2068, 2365, 2376, 4818, 968, 2409, 340, 312, 36, 11, 0], [2, 0, 47, 357, 265, 2123, 2200, 2706, 4356, 1430, 2079, 505, 257, 47, 10, 0], [2, 0, 47, 358, 254, 2178, 2035, 3036, 3894, 1892, 1749, 670, 202, 58, 9, 0], [2, 0, 47, 359, 243, 2233, 1870, 3366, 3432, 2354, 1419, 835, 147, 69, 8, 0], [2, 0, 47, 360, 232, 2288, 1705, 3696, 2970, 2816, 1089, 1000, 92, 80, 7, 0], [2, 0, 47, 361, 221, 2343, 1540, 4026, 2508, 3278, 759, 1165, 37, 91, 6, 0], [2, 0, 48, 343, 352, 1804, 2970, 1419, 5874, 176, 2772, 285, 268, 68, 2, 1], [2, 0, 48, 344, 341, 1859, 2805, 1749, 5412, 638, 2442, 450, 213, 79, 1, 1], [2, 0, 48, 344, 342, 1848, 2860, 1584, 5742, 176, 2904, 120, 378, 24, 12, 0], [2, 0, 48, 345, 330, 1914, 2640, 2079, 4950, 1100, 2112, 615, 158, 90, 0, 1], [2, 0, 48, 345, 331, 1903, 2695, 1914, 5280, 638, 2574, 285, 323, 35, 11, 0], [2, 0, 48, 346, 320, 1958, 2530, 2244, 4818, 1100, 2244, 450, 268, 46, 10, 0], [2, 0, 48, 347, 309, 2013, 2365, 2574, 4356, 1562, 1914, 615, 213, 57, 9, 0], [2, 0, 48, 348, 298, 2068, 2200, 2904, 3894, 2024, 1584, 780, 158, 68, 8, 0], [2, 0, 48, 349, 287, 2123, 2035, 3234, 3432, 2486, 1254, 945, 103, 79, 7, 0], [2, 0, 48, 350, 276, 2178, 1870, 3564, 2970, 2948, 924, 1110, 48, 90, 6, 0], [2, 0, 49, 333, 396, 1694, 3135, 1287, 5874, 308, 2607, 395, 224, 78, 1, 1], [2, 0, 49, 334, 385, 1749, 2970, 1617, 5412, 770, 2277, 560, 169, 89, 0, 1], [2, 0, 49, 334, 386, 1738, 3025, 1452, 5742, 308, 2739, 230, 334, 34, 11, 0], [2, 0, 49, 335, 375, 1793, 2860, 1782, 5280, 770, 2409, 395, 279, 45, 10, 0], [2, 0, 49, 336, 364, 1848, 2695, 2112, 4818, 1232, 2079, 560, 224, 56, 9, 0], [2, 0, 49, 337, 353, 1903, 2530, 2442, 4356, 1694, 1749, 725, 169, 67, 8, 0], [2, 0, 49, 338, 342, 1958, 2365, 2772, 3894, 2156, 1419, 890, 114, 78, 7, 0], [2, 0, 49, 339, 331, 2013, 2200, 3102, 3432, 2618, 1089, 1055, 59, 89, 6, 0], [2, 0, 49, 340, 320, 2068, 2035, 3432, 2970, 3080, 759, 1220, 4, 100, 5, 0], [2, 0, 50, 323, 440, 1584, 3300, 1155, 5874, 440, 2442, 505, 180, 88, 0, 1], [2, 0, 50, 324, 430, 1628, 3190, 1320, 5742, 440, 2574, 340, 290, 44, 10, 0], [2, 0, 50, 325, 419, 1683, 3025, 1650, 5280, 902, 2244, 505, 235, 55, 9, 0], [2, 0, 50, 326, 408, 1738, 2860, 1980, 4818, 1364, 1914, 670, 180, 66, 8, 0], [2, 0, 50, 327, 397, 1793, 2695, 2310, 4356, 1826, 1584, 835, 125, 77, 7, 0], [2, 0, 50, 328, 386, 1848, 2530, 2640, 3894, 2288, 1254, 1000, 70, 88, 6, 0], [2, 0, 50, 329, 375, 1903, 2365, 2970, 3432, 2750, 924, 1165, 15, 99, 5, 0], [2, 0, 51, 312, 495, 1419, 3630, 693, 6336, 110, 2607, 450, 191, 87, 0, 1], [2, 0, 51, 313, 485, 1463, 3520, 858, 6204, 110, 2739, 285, 301, 43, 10, 0], [2, 0, 51, 314, 474, 1518, 3355, 1188, 5742, 572, 2409, 450, 246, 54, 9, 0], [2, 0, 51, 315, 463, 1573, 3190, 1518, 5280, 1034, 2079, 615, 191, 65, 8, 0], [2, 0, 51, 316, 452, 1628, 3025, 1848, 4818, 1496, 1749, 780, 136, 76, 7, 0], [2, 0, 51, 317, 441, 1683, 2860, 2178, 4356, 1958, 1419, 945, 81, 87, 6, 0], [2, 0, 51, 318, 430, 1738, 2695, 2508, 3894, 2420, 1089, 1110, 26, 98, 5, 0], [2, 0, 52, 303, 529, 1353, 3685, 726, 6204, 242, 2574, 395, 257, 53, 9, 0], [2, 0, 52, 304, 518, 1408, 3520, 1056, 5742, 704, 2244, 560, 202, 64, 8, 0], [2, 0, 52, 305, 507, 1463, 3355, 1386, 5280, 1166, 1914, 725, 147, 75, 7, 0], [2, 0, 52, 306, 496, 1518, 3190, 1716, 4818, 1628, 1584, 890, 92, 86, 6, 0], [2, 0, 52, 307, 485, 1573, 3025, 2046, 4356, 2090, 1254, 1055, 37, 97, 5, 0], [2, 0, 53, 293, 573, 1243, 3850, 594, 6204, 374, 2409, 505, 213, 63, 8, 0], [2, 0, 53, 294, 562, 1298, 3685, 924, 5742, 836, 2079, 670, 158, 74, 7, 0], [2, 0, 53, 295, 551, 1353, 3520, 1254, 5280, 1298, 1749, 835, 103, 85, 6, 0], [2, 0, 53, 296, 540, 1408, 3355, 1584, 4818, 1760, 1419, 1000, 48, 96, 5, 0], [2, 0, 54, 282, 628, 1078, 4180, 132, 6666, 44, 2574, 450, 224, 62, 8, 0], [2, 0, 54, 283, 617, 1133, 4015, 462, 6204, 506, 2244, 615, 169, 73, 7, 0], [2, 0, 54, 284, 606, 1188, 3850, 792, 5742, 968, 1914, 780, 114, 84, 6, 0], [2, 0, 54, 285, 595, 1243, 3685, 1122, 5280, 1430, 1584, 945, 59, 95, 5, 0], [2, 0, 54, 286, 584, 1298, 3520, 1452, 4818, 1892, 1254, 1110, 4, 106, 4, 0], [2, 0, 55, 272, 672, 968, 4345, 0, 6666, 176, 2409, 560, 180, 72, 7, 0], [2, 0, 55, 273, 661, 1023, 4180, 330, 6204, 638, 2079, 725, 125, 83, 6, 0], [2, 0, 55, 274, 650, 1078, 4015, 660, 5742, 1100, 1749, 890, 70, 94, 5, 0], [2, 0, 55, 275, 639, 1133, 3850, 990, 5280, 1562, 1419, 1055, 15, 105, 4, 0], [2, 0, 56, 263, 705, 913, 4345, 198, 6204, 770, 1914, 835, 81, 93, 5, 0], [2, 0, 56, 264, 694, 968, 4180, 528, 5742, 1232, 1584, 1000, 26, 104, 4, 0], [2, 0, 57, 253, 749, 803, 4510, 66, 6204, 902, 1749, 945, 37, 103, 4, 0], [2, 1, 33, 439, 0, 2629, 1683, 2739, 5082, 275, 3047, 21, 388, 39, 5, 1], [2, 1, 34, 429, 44, 2519, 1848, 2607, 5082, 407, 2882, 131, 344, 49, 4, 1], [2, 1, 34, 430, 33, 2574, 1683, 2937, 4620, 869, 2552, 296, 289, 60, 3, 1], [2, 1, 34, 431, 22, 2629, 1518, 3267, 4158, 1331, 2222, 461, 234, 71, 2, 1], [2, 1, 34, 431, 23, 2618, 1573, 3102, 4488, 869, 2684, 131, 399, 16, 13, 0], [2, 1, 34, 432, 11, 2684, 1353, 3597, 3696, 1793, 1892, 626, 179, 82, 1, 1], [2, 1, 34, 432, 12, 2673, 1408, 3432, 4026, 1331, 2354, 296, 344, 27, 12, 0], [2, 1, 34, 433, 0, 2739, 1188, 3927, 3234, 2255, 1562, 791, 124, 93, 0, 1], [2, 1, 34, 433, 1, 2728, 1243, 3762, 3564, 1793, 2024, 461, 289, 38, 11, 0], [2, 1, 35, 418, 99, 2354, 2178, 2145, 5544, 77, 3047, 76, 355, 48, 4, 1], [2, 1, 35, 419, 88, 2409, 2013, 2475, 5082, 539, 2717, 241, 300, 59, 3, 1], [2, 1, 35, 420, 77, 2464, 1848, 2805, 4620, 1001, 2387, 406, 245, 70, 2, 1], [2, 1, 35, 420, 78, 2453, 1903, 2640, 4950, 539, 2849, 76, 410, 15, 13, 0], [2, 1, 35, 421, 66, 2519, 1683, 3135, 4158, 1463, 2057, 571, 190, 81, 1, 1], [2, 1, 35, 421, 67, 2508, 1738, 2970, 4488, 1001, 2519, 241, 355, 26, 12, 0], [2, 1, 35, 422, 55, 2574, 1518, 3465, 3696, 1925, 1727, 736, 135, 92, 0, 1], [2, 1, 35, 422, 56, 2563, 1573, 3300, 4026, 1463, 2189, 406, 300, 37, 11, 0], [2, 1, 35, 423, 45, 2618, 1408, 3630, 3564, 1925, 1859, 571, 245, 48, 10, 0], [2, 1, 35, 424, 34, 2673, 1243, 3960, 3102, 2387, 1529, 736, 190, 59, 9, 0], [2, 1, 35, 425, 23, 2728, 1078, 4290, 2640, 2849, 1199, 901, 135, 70, 8, 0], [2, 1, 35, 426, 12, 2783, 913, 4620, 2178, 3311, 869, 1066, 80, 81, 7, 0], [2, 1, 35, 427, 1, 2838, 748, 4950, 1716, 3773, 539, 1231, 25, 92, 6, 0], [2, 1, 36, 408, 143, 2244, 2343, 2013, 5544, 209, 2882, 186, 311, 58, 3, 1], [2, 1, 36, 409, 132, 2299, 2178, 2343, 5082, 671, 2552, 351, 256, 69, 2, 1], [2, 1, 36, 409, 133, 2288, 2233, 2178, 5412, 209, 3014, 21, 421, 14, 13, 0], [2, 1, 36, 410, 121, 2354, 2013, 2673, 4620, 1133, 2222, 516, 201, 80, 1, 1], [2, 1, 36, 410, 122, 2343, 2068, 2508, 4950, 671, 2684, 186, 366, 25, 12, 0], [2, 1, 36, 411, 110, 2409, 1848, 3003, 4158, 1595, 1892, 681, 146, 91, 0, 1], [2, 1, 36, 411, 111, 2398, 1903, 2838, 4488, 1133, 2354, 351, 311, 36, 11, 0], [2, 1, 36, 412, 100, 2453, 1738, 3168, 4026, 1595, 2024, 516, 256, 47, 10, 0], [2, 1, 36, 413, 89, 2508, 1573, 3498, 3564, 2057, 1694, 681, 201, 58, 9, 0], [2, 1, 36, 414, 78, 2563, 1408, 3828, 3102, 2519, 1364, 846, 146, 69, 8, 0], [2, 1, 36, 415, 67, 2618, 1243, 4158, 2640, 2981, 1034, 1011, 91, 80, 7, 0], [2, 1, 36, 416, 56, 2673, 1078, 4488, 2178, 3443, 704, 1176, 36, 91, 6, 0], [2, 1, 37, 398, 187, 2134, 2508, 1881, 5544, 341, 2717, 296, 267, 68, 2, 1], [2, 1, 37, 399, 176, 2189, 2343, 2211, 5082, 803, 2387, 461, 212, 79, 1, 1], [2, 1, 37, 399, 177, 2178, 2398, 2046, 5412, 341, 2849, 131, 377, 24, 12, 0], [2, 1, 37, 400, 165, 2244, 2178, 2541, 4620, 1265, 2057, 626, 157, 90, 0, 1], [2, 1, 37, 400, 166, 2233, 2233, 2376, 4950, 803, 2519, 296, 322, 35, 11, 0], [2, 1, 37, 401, 155, 2288, 2068, 2706, 4488, 1265, 2189, 461, 267, 46, 10, 0], [2, 1, 37, 402, 144, 2343, 1903, 3036, 4026, 1727, 1859, 626, 212, 57, 9, 0], [2, 1, 37, 403, 133, 2398, 1738, 3366, 3564, 2189, 1529, 791, 157, 68, 8, 0], [2, 1, 37, 404, 122, 2453, 1573, 3696, 3102, 2651, 1199, 956, 102, 79, 7, 0], [2, 1, 37, 405, 111, 2508, 1408, 4026, 2640, 3113, 869, 1121, 47, 90, 6, 0], [2, 1, 38, 387, 242, 1969, 2838, 1419, 6006, 11, 2882, 241, 278, 67, 2, 1], [2, 1, 38, 388, 231, 2024, 2673, 1749, 5544, 473, 2552, 406, 223, 78, 1, 1], [2, 1, 38, 388, 232, 2013, 2728, 1584, 5874, 11, 3014, 76, 388, 23, 12, 0], [2, 1, 38, 389, 220, 2079, 2508, 2079, 5082, 935, 2222, 571, 168, 89, 0, 1], [2, 1, 38, 389, 221, 2068, 2563, 1914, 5412, 473, 2684, 241, 333, 34, 11, 0], [2, 1, 38, 390, 210, 2123, 2398, 2244, 4950, 935, 2354, 406, 278, 45, 10, 0], [2, 1, 38, 391, 199, 2178, 2233, 2574, 4488, 1397, 2024, 571, 223, 56, 9, 0], [2, 1, 38, 392, 188, 2233, 2068, 2904, 4026, 1859, 1694, 736, 168, 67, 8, 0], [2, 1, 38, 393, 177, 2288, 1903, 3234, 3564, 2321, 1364, 901, 113, 78, 7, 0], [2, 1, 38, 394, 166, 2343, 1738, 3564, 3102, 2783, 1034, 1066, 58, 89, 6, 0], [2, 1, 38, 395, 155, 2398, 1573, 3894, 2640, 3245, 704, 1231, 3, 100, 5, 0], [2, 1, 39, 377, 286, 1859, 3003, 1287, 6006, 143, 2717, 351, 234, 77, 1, 1], [2, 1, 39, 378, 275, 1914, 2838, 1617, 5544, 605, 2387, 516, 179, 88, 0, 1], [2, 1, 39, 378, 276, 1903, 2893, 1452, 5874, 143, 2849, 186, 344, 33, 11, 0], [2, 1, 39, 379, 265, 1958, 2728, 1782, 5412, 605, 2519, 351, 289, 44, 10, 0], [2, 1, 39, 380, 254, 2013, 2563, 2112, 4950, 1067, 2189, 516, 234, 55, 9, 0], [2, 1, 39, 381, 243, 2068, 2398, 2442, 4488, 1529, 1859, 681, 179, 66, 8, 0], [2, 1, 39, 382, 232, 2123, 2233, 2772, 4026, 1991, 1529, 846, 124, 77, 7, 0], [2, 1, 39, 383, 221, 2178, 2068, 3102, 3564, 2453, 1199, 1011, 69, 88, 6, 0], [2, 1, 39, 384, 210, 2233, 1903, 3432, 3102, 2915, 869, 1176, 14, 99, 5, 0], [2, 1, 40, 367, 330, 1749, 3168, 1155, 6006, 275, 2552, 461, 190, 87, 0, 1], [2, 1, 40, 368, 320, 1793, 3058, 1320, 5874, 275, 2684, 296, 300, 43, 10, 0], [2, 1, 40, 369, 309, 1848, 2893, 1650, 5412, 737, 2354, 461, 245, 54, 9, 0], [2, 1, 40, 370, 298, 1903, 2728, 1980, 4950, 1199, 2024, 626, 190, 65, 8, 0], [2, 1, 40, 371, 287, 1958, 2563, 2310, 4488, 1661, 1694, 791, 135, 76, 7, 0], [2, 1, 40, 372, 276, 2013, 2398, 2640, 4026, 2123, 1364, 956, 80, 87, 6, 0], [2, 1, 40, 373, 265, 2068, 2233, 2970, 3564, 2585, 1034, 1121, 25, 98, 5, 0], [2, 1, 41, 358, 364, 1683, 3223, 1188, 5874, 407, 2519, 406, 256, 53, 9, 0], [2, 1, 41, 359, 353, 1738, 3058, 1518, 5412, 869, 2189, 571, 201, 64, 8, 0], [2, 1, 41, 360, 342, 1793, 2893, 1848, 4950, 1331, 1859, 736, 146, 75, 7, 0], [2, 1, 41, 361, 331, 1848, 2728, 2178, 4488, 1793, 1529, 901, 91, 86, 6, 0], [2, 1, 41, 362, 320, 1903, 2563, 2508, 4026, 2255, 1199, 1066, 36, 97, 5, 0], [2, 1, 42, 347, 419, 1518, 3553, 726, 6336, 77, 2684, 351, 267, 52, 9, 0], [2, 1, 42, 348, 408, 1573, 3388, 1056, 5874, 539, 2354, 516, 212, 63, 8, 0], [2, 1, 42, 349, 397, 1628, 3223, 1386, 5412, 1001, 2024, 681, 157, 74, 7, 0], [2, 1, 42, 350, 386, 1683, 3058, 1716, 4950, 1463, 1694, 846, 102, 85, 6, 0], [2, 1, 42, 351, 375, 1738, 2893, 2046, 4488, 1925, 1364, 1011, 47, 96, 5, 0], [2, 1, 43, 337, 463, 1408, 3718, 594, 6336, 209, 2519, 461, 223, 62, 8, 0], [2, 1, 43, 338, 452, 1463, 3553, 924, 5874, 671, 2189, 626, 168, 73, 7, 0], [2, 1, 43, 339, 441, 1518, 3388, 1254, 5412, 1133, 1859, 791, 113, 84, 6, 0], [2, 1, 43, 340, 430, 1573, 3223, 1584, 4950, 1595, 1529, 956, 58, 95, 5, 0], [2, 1, 43, 341, 419, 1628, 3058, 1914, 4488, 2057, 1199, 1121, 3, 106, 4, 0], [2, 1, 44, 327, 507, 1298, 3883, 462, 6336, 341, 2354, 571, 179, 72, 7, 0], [2, 1, 44, 328, 496, 1353, 3718, 792, 5874, 803, 2024, 736, 124, 83, 6, 0], [2, 1, 44, 329, 485, 1408, 3553, 1122, 5412, 1265, 1694, 901, 69, 94, 5, 0], [2, 1, 44, 330, 474, 1463, 3388, 1452, 4950, 1727, 1364, 1066, 14, 105, 4, 0], [2, 1, 45, 316, 562, 1133, 4213, 0, 6798, 11, 2519, 516, 190, 71, 7, 0], [2, 1, 45, 317, 551, 1188, 4048, 330, 6336, 473, 2189, 681, 135, 82, 6, 0], [2, 1, 45, 318, 540, 1243, 3883, 660, 5874, 935, 1859, 846, 80, 93, 5, 0], [2, 1, 45, 319, 529, 1298, 3718, 990, 5412, 1397, 1529, 1011, 25, 104, 4, 0], [2, 1, 46, 307, 595, 1078, 4213, 198, 6336, 605, 2024, 791, 91, 92, 5, 0], [2, 1, 46, 308, 584, 1133, 4048, 528, 5874, 1067, 1694, 956, 36, 103, 4, 0], [2, 1, 47, 297, 639, 968, 4378, 66, 6336, 737, 1859, 901, 47, 102, 4, 0], [2, 2, 26, 452, 33, 2409, 2211, 2013, 5676, 44, 2992, 142, 321, 57, 3, 1], [2, 2, 26, 453, 22, 2464, 2046, 2343, 5214, 506, 2662, 307, 266, 68, 2, 1], [2, 2, 26, 454, 11, 2519, 1881, 2673, 4752, 968, 2332, 472, 211, 79, 1, 1], [2, 2, 26, 454, 12, 2508, 1936, 2508, 5082, 506, 2794, 142, 376, 24, 12, 0], [2, 2, 26, 455, 0, 2574, 1716, 3003, 4290, 1430, 2002, 637, 156, 90, 0, 1], [2, 2, 26, 455, 1, 2563, 1771, 2838, 4620, 968, 2464, 307, 321, 35, 11, 0], [2, 2, 27, 442, 77, 2299, 2376, 1881, 5676, 176, 2827, 252, 277, 67, 2, 1], [2, 2, 27, 443, 66, 2354, 2211, 2211, 5214, 638, 2497, 417, 222, 78, 1, 1], [2, 2, 27, 443, 67, 2343, 2266, 2046, 5544, 176, 2959, 87, 387, 23, 12, 0], [2, 2, 27, 444, 55, 2409, 2046, 2541, 4752, 1100, 2167, 582, 167, 89, 0, 1], [2, 2, 27, 444, 56, 2398, 2101, 2376, 5082, 638, 2629, 252, 332, 34, 11, 0], [2, 2, 27, 445, 45, 2453, 1936, 2706, 4620, 1100, 2299, 417, 277, 45, 10, 0], [2, 2, 27, 446, 34, 2508, 1771, 3036, 4158, 1562, 1969, 582, 222, 56, 9, 0], [2, 2, 27, 447, 23, 2563, 1606, 3366, 3696, 2024, 1639, 747, 167, 67, 8, 0], [2, 2, 27, 448, 12, 2618, 1441, 3696, 3234, 2486, 1309, 912, 112, 78, 7, 0], [2, 2, 27, 449, 1, 2673, 1276, 4026, 2772, 2948, 979, 1077, 57, 89, 6, 0], [2, 2, 28, 432, 121, 2189, 2541, 1749, 5676, 308, 2662, 362, 233, 77, 1, 1], [2, 2, 28, 433, 110, 2244, 2376, 2079, 5214, 770, 2332, 527, 178, 88, 0, 1], [2, 2, 28, 433, 111, 2233, 2431, 1914, 5544, 308, 2794, 197, 343, 33, 11, 0], [2, 2, 28, 434, 100, 2288, 2266, 2244, 5082, 770, 2464, 362, 288, 44, 10, 0], [2, 2, 28, 435, 89, 2343, 2101, 2574, 4620, 1232, 2134, 527, 233, 55, 9, 0], [2, 2, 28, 436, 78, 2398, 1936, 2904, 4158, 1694, 1804, 692, 178, 66, 8, 0], [2, 2, 28, 437, 67, 2453, 1771, 3234, 3696, 2156, 1474, 857, 123, 77, 7, 0], [2, 2, 28, 438, 56, 2508, 1606, 3564, 3234, 2618, 1144, 1022, 68, 88, 6, 0], [2, 2, 28, 439, 45, 2563, 1441, 3894, 2772, 3080, 814, 1187, 13, 99, 5, 0], [2, 2, 29, 422, 165, 2079, 2706, 1617, 5676, 440, 2497, 472, 189, 87, 0, 1], [2, 2, 29, 423, 155, 2123, 2596, 1782, 5544, 440, 2629, 307, 299, 43, 10, 0], [2, 2, 29, 424, 144, 2178, 2431, 2112, 5082, 902, 2299, 472, 244, 54, 9, 0], [2, 2, 29, 425, 133, 2233, 2266, 2442, 4620, 1364, 1969, 637, 189, 65, 8, 0], [2, 2, 29, 426, 122, 2288, 2101, 2772, 4158, 1826, 1639, 802, 134, 76, 7, 0], [2, 2, 29, 427, 111, 2343, 1936, 3102, 3696, 2288, 1309, 967, 79, 87, 6, 0], [2, 2, 29, 428, 100, 2398, 1771, 3432, 3234, 2750, 979, 1132, 24, 98, 5, 0], [2, 2, 30, 411, 220, 1914, 3036, 1155, 6138, 110, 2662, 417, 200, 86, 0, 1], [2, 2, 30, 412, 210, 1958, 2926, 1320, 6006, 110, 2794, 252, 310, 42, 10, 0], [2, 2, 30, 413, 199, 2013, 2761, 1650, 5544, 572, 2464, 417, 255, 53, 9, 0], [2, 2, 30, 414, 188, 2068, 2596, 1980, 5082, 1034, 2134, 582, 200, 64, 8, 0], [2, 2, 30, 415, 177, 2123, 2431, 2310, 4620, 1496, 1804, 747, 145, 75, 7, 0], [2, 2, 30, 416, 166, 2178, 2266, 2640, 4158, 1958, 1474, 912, 90, 86, 6, 0], [2, 2, 30, 417, 155, 2233, 2101, 2970, 3696, 2420, 1144, 1077, 35, 97, 5, 0], [2, 2, 31, 402, 254, 1848, 3091, 1188, 6006, 242, 2629, 362, 266, 52, 9, 0], [2, 2, 31, 403, 243, 1903, 2926, 1518, 5544, 704, 2299, 527, 211, 63, 8, 0], [2, 2, 31, 404, 232, 1958, 2761, 1848, 5082, 1166, 1969, 692, 156, 74, 7, 0], [2, 2, 31, 405, 221, 2013, 2596, 2178, 4620, 1628, 1639, 857, 101, 85, 6, 0], [2, 2, 31, 406, 210, 2068, 2431, 2508, 4158, 2090, 1309, 1022, 46, 96, 5, 0], [2, 2, 32, 392, 298, 1738, 3256, 1056, 6006, 374, 2464, 472, 222, 62, 8, 0], [2, 2, 32, 393, 287, 1793, 3091, 1386, 5544, 836, 2134, 637, 167, 73, 7, 0], [2, 2, 32, 394, 276, 1848, 2926, 1716, 5082, 1298, 1804, 802, 112, 84, 6, 0], [2, 2, 32, 395, 265, 1903, 2761, 2046, 4620, 1760, 1474, 967, 57, 95, 5, 0], [2, 2, 32, 396, 254, 1958, 2596, 2376, 4158, 2222, 1144, 1132, 2, 106, 4, 0], [2, 2, 33, 381, 353, 1573, 3586, 594, 6468, 44, 2629, 417, 233, 61, 8, 0], [2, 2, 33, 382, 342, 1628, 3421, 924, 6006, 506, 2299, 582, 178, 72, 7, 0], [2, 2, 33, 383, 331, 1683, 3256, 1254, 5544, 968, 1969, 747, 123, 83, 6, 0], [2, 2, 33, 384, 320, 1738, 3091, 1584, 5082, 1430, 1639, 912, 68, 94, 5, 0], [2, 2, 33, 385, 309, 1793, 2926, 1914, 4620, 1892, 1309, 1077, 13, 105, 4, 0], [2, 2, 34, 371, 397, 1463, 3751, 462, 6468, 176, 2464, 527, 189, 71, 7, 0], [2, 2, 34, 372, 386, 1518, 3586, 792, 6006, 638, 2134, 692, 134, 82, 6, 0], [2, 2, 34, 373, 375, 1573, 3421, 1122, 5544, 1100, 1804, 857, 79, 93, 5, 0], [2, 2, 34, 374, 364, 1628, 3256, 1452, 5082, 1562, 1474, 1022, 24, 104, 4, 0], [2, 2, 35, 361, 441, 1353, 3916, 330, 6468, 308, 2299, 637, 145, 81, 6, 0], [2, 2, 35, 362, 430, 1408, 3751, 660, 6006, 770, 1969, 802, 90, 92, 5, 0], [2, 2, 35, 363, 419, 1463, 3586, 990, 5544, 1232, 1639, 967, 35, 103, 4, 0], [2, 2, 36, 351, 485, 1243, 4081, 198, 6468, 440, 2134, 747, 101, 91, 5, 0], [2, 2, 36, 352, 474, 1298, 3916, 528, 6006, 902, 1804, 912, 46, 102, 4, 0], [2, 2, 37, 341, 529, 1133, 4246, 66, 6468, 572, 1969, 857, 57, 101, 4, 0], [2, 2, 37, 342, 518, 1188, 4081, 396, 6006, 1034, 1639, 1022, 2, 112, 3, 0], [2, 3, 18, 476, 11, 2354, 2409, 1749, 5808, 143, 2772, 318, 243, 76, 1, 1], [2, 3, 18, 477, 0, 2409, 2244, 2079, 5346, 605, 2442, 483, 188, 87, 0, 1], [2, 3, 18, 477, 1, 2398, 2299, 1914, 5676, 143, 2904, 153, 353, 32, 11, 0], [2, 3, 19, 466, 55, 2244, 2574, 1617, 5808, 275, 2607, 428, 199, 86, 0, 1], [2, 3, 19, 467, 45, 2288, 2464, 1782, 5676, 275, 2739, 263, 309, 42, 10, 0], [2, 3, 19, 468, 34, 2343, 2299, 2112, 5214, 737, 2409, 428, 254, 53, 9, 0], [2, 3, 19, 469, 23, 2398, 2134, 2442, 4752, 1199, 2079, 593, 199, 64, 8, 0], [2, 3, 19, 470, 12, 2453, 1969, 2772, 4290, 1661, 1749, 758, 144, 75, 7, 0], [2, 3, 19, 471, 1, 2508, 1804, 3102, 3828, 2123, 1419, 923, 89, 86, 6, 0], [2, 3, 20, 457, 89, 2178, 2629, 1650, 5676, 407, 2574, 373, 265, 52, 9, 0], [2, 3, 20, 458, 78, 2233, 2464, 1980, 5214, 869, 2244, 538, 210, 63, 8, 0], [2, 3, 20, 459, 67, 2288, 2299, 2310, 4752, 1331, 1914, 703, 155, 74, 7, 0], [2, 3, 20, 460, 56, 2343, 2134, 2640, 4290, 1793, 1584, 868, 100, 85, 6, 0], [2, 3, 20, 461, 45, 2398, 1969, 2970, 3828, 2255, 1254, 1033, 45, 96, 5, 0], [2, 3, 21, 446, 144, 2013, 2959, 1188, 6138, 77, 2739, 318, 276, 51, 9, 0], [2, 3, 21, 447, 133, 2068, 2794, 1518, 5676, 539, 2409, 483, 221, 62, 8, 0], [2, 3, 21, 448, 122, 2123, 2629, 1848, 5214, 1001, 2079, 648, 166, 73, 7, 0], [2, 3, 21, 449, 111, 2178, 2464, 2178, 4752, 1463, 1749, 813, 111, 84, 6, 0], [2, 3, 21, 450, 100, 2233, 2299, 2508, 4290, 1925, 1419, 978, 56, 95, 5, 0], [2, 3, 21, 451, 89, 2288, 2134, 2838, 3828, 2387, 1089, 1143, 1, 106, 4, 0], [2, 3, 22, 436, 188, 1903, 3124, 1056, 6138, 209, 2574, 428, 232, 61, 8, 0], [2, 3, 22, 437, 177, 1958, 2959, 1386, 5676, 671, 2244, 593, 177, 72, 7, 0], [2, 3, 22, 438, 166, 2013, 2794, 1716, 5214, 1133, 1914, 758, 122, 83, 6, 0], [2, 3, 22, 439, 155, 2068, 2629, 2046, 4752, 1595, 1584, 923, 67, 94, 5, 0], [2, 3, 22, 440, 144, 2123, 2464, 2376, 4290, 2057, 1254, 1088, 12, 105, 4, 0], [2, 3, 23, 426, 232, 1793, 3289, 924, 6138, 341, 2409, 538, 188, 71, 7, 0], [2, 3, 23, 427, 221, 1848, 3124, 1254, 5676, 803, 2079, 703, 133, 82, 6, 0], [2, 3, 23, 428, 210, 1903, 2959, 1584, 5214, 1265, 1749, 868, 78, 93, 5, 0], [2, 3, 23, 429, 199, 1958, 2794, 1914, 4752, 1727, 1419, 1033, 23, 104, 4, 0], [2, 3, 24, 415, 287, 1628, 3619, 462, 6600, 11, 2574, 483, 199, 70, 7, 0], [2, 3, 24, 416, 276, 1683, 3454, 792, 6138, 473, 2244, 648, 144, 81, 6, 0], [2, 3, 24, 417, 265, 1738, 3289, 1122, 5676, 935, 1914, 813, 89, 92, 5, 0], [2, 3, 24, 418, 254, 1793, 3124, 1452, 5214, 1397, 1584, 978, 34, 103, 4, 0], [2, 3, 25, 405, 331, 1518, 3784, 330, 6600, 143, 2409, 593, 155, 80, 6, 0], [2, 3, 25, 406, 320, 1573, 3619, 660, 6138, 605, 2079, 758, 100, 91, 5, 0], [2, 3, 25, 407, 309, 1628, 3454, 990, 5676, 1067, 1749, 923, 45, 102, 4, 0], [2, 3, 26, 395, 375, 1408, 3949, 198, 6600, 275, 2244, 703, 111, 90, 5, 0], [2, 3, 26, 396, 364, 1463, 3784, 528, 6138, 737, 1914, 868, 56, 101, 4, 0], [2, 3, 26, 397, 353, 1518, 3619, 858, 5676, 1199, 1584, 1033, 1, 112, 3, 0], [2, 3, 27, 385, 419, 1298, 4114, 66, 6600, 407, 2079, 813, 67, 100, 4, 0], [2, 3, 27, 386, 408, 1353, 3949, 396, 6138, 869, 1749, 978, 12, 111, 3, 0], [2, 4, 11, 491, 23, 2233, 2662, 1518, 5808, 374, 2519, 439, 231, 61, 8, 0], [2, 4, 11, 492, 12, 2288, 2497, 1848, 5346, 836, 2189, 604, 176, 72, 7, 0], [2, 4, 11, 493, 1, 2343, 2332, 2178, 4884, 1298, 1859, 769, 121, 83, 6, 0], [2, 4, 12, 480, 78, 2068, 2992, 1056, 6270, 44, 2684, 384, 242, 60, 8, 0], [2, 4, 12, 481, 67, 2123, 2827, 1386, 5808, 506, 2354, 549, 187, 71, 7, 0], [2, 4, 12, 482, 56, 2178, 2662, 1716, 5346, 968, 2024, 714, 132, 82, 6, 0], [2, 4, 12, 483, 45, 2233, 2497, 2046, 4884, 1430, 1694, 879, 77, 93, 5, 0], [2, 4, 12, 484, 34, 2288, 2332, 2376, 4422, 1892, 1364, 1044, 22, 104, 4, 0], [2, 4, 13, 470, 122, 1958, 3157, 924, 6270, 176, 2519, 494, 198, 70, 7, 0], [2, 4, 13, 471, 111, 2013, 2992, 1254, 5808, 638, 2189, 659, 143, 81, 6, 0], [2, 4, 13, 472, 100, 2068, 2827, 1584, 5346, 1100, 1859, 824, 88, 92, 5, 0], [2, 4, 13, 473, 89, 2123, 2662, 1914, 4884, 1562, 1529, 989, 33, 103, 4, 0], [2, 4, 14, 460, 166, 1848, 3322, 792, 6270, 308, 2354, 604, 154, 80, 6, 0], [2, 4, 14, 461, 155, 1903, 3157, 1122, 5808, 770, 2024, 769, 99, 91, 5, 0], [2, 4, 14, 462, 144, 1958, 2992, 1452, 5346, 1232, 1694, 934, 44, 102, 4, 0], [2, 4, 15, 450, 210, 1738, 3487, 660, 6270, 440, 2189, 714, 110, 90, 5, 0], [2, 4, 15, 451, 199, 1793, 3322, 990, 5808, 902, 1859, 879, 55, 101, 4, 0], [2, 4, 15, 452, 188, 1848, 3157, 1320, 5346, 1364, 1529, 1044, 0, 112, 3, 0], [2, 4, 16, 439, 265, 1573, 3817, 198, 6732, 110, 2354, 659, 121, 89, 5, 0], [2, 4, 16, 440, 254, 1628, 3652, 528, 6270, 572, 2024, 824, 66, 100, 4, 0], [2, 4, 16, 441, 243, 1683, 3487, 858, 5808, 1034, 1694, 989, 11, 111, 3, 0], [2, 4, 17, 429, 309, 1463, 3982, 66, 6732, 242, 2189, 769, 77, 99, 4, 0], [2, 4, 17, 430, 298, 1518, 3817, 396, 6270, 704, 1859, 934, 22, 110, 3, 0], [2, 5, 3, 514, 12, 2123, 3025, 924, 6402, 11, 2629, 450, 208, 69, 7, 0], [2, 5, 3, 515, 1, 2178, 2860, 1254, 5940, 473, 2299, 615, 153, 80, 6, 0], [2, 5, 4, 504, 56, 2013, 3190, 792, 6402, 143, 2464, 560, 164, 79, 6, 0], [2, 5, 4, 505, 45, 2068, 3025, 1122, 5940, 605, 2134, 725, 109, 90, 5, 0], [2, 5, 4, 506, 34, 2123, 2860, 1452, 5478, 1067, 1804, 890, 54, 101, 4, 0], [2, 5, 5, 494, 100, 1903, 3355, 660, 6402, 275, 2299, 670, 120, 89, 5, 0], [2, 5, 5, 495, 89, 1958, 3190, 990, 5940, 737, 1969, 835, 65, 100, 4, 0], [2, 5, 5, 496, 78, 2013, 3025, 1320, 5478, 1199, 1639, 1000, 10, 111, 3, 0], [2, 5, 6, 484, 144, 1793, 3520, 528, 6402, 407, 2134, 780, 76, 99, 4, 0], [2, 5, 6, 485, 133, 1848, 3355, 858, 5940, 869, 1804, 945, 21, 110, 3, 0], [2, 5, 7, 473, 199, 1628, 3850, 66, 6864, 77, 2299, 725, 87, 98, 4, 0], [2, 5, 7, 474, 188, 1683, 3685, 396, 6402, 539, 1969, 890, 32, 109, 3, 0]}