-------
(10, 352, 5) Remaining distance distributions
(5, 352, 5) has 1 possible DDs: {[11, 55, 110, 110, 55, 11]}
(6, 352, 5) has 12 possible DDs: {[0, 66, 0, 220, 0, 66, 0], [1, 60, 15, 200, 15, 60, 1], [2, 54, 30, 180, 30, 54, 2], [3, 48, 45, 160, 45, 48, 3], [4, 42, 60, 140, 60, 42, 4], [5, 36, 75, 120, 75, 36, 5], [6, 30, 90, 100, 90, 30, 6], [7, 24, 105, 80, 105, 24, 7], [8, 18, 120, 60, 120, 18, 8], [9, 12, 135, 40, 135, 12, 9], [10, 6, 150, 20, 150, 6, 10], [11, 0, 165, 0, 165, 0, 11]}
(7, 352, 5) has 37 possible DDs: {[0, 33, 33, 110, 110, 33, 33, 0], [0, 34, 27, 125, 90, 48, 27, 1], [0, 35, 21, 140, 70, 63, 21, 2], [0, 36, 15, 155, 50, 78, 15, 3], [1, 27, 48, 90, 125, 27, 34, 0], [1, 28, 42, 105, 105, 42, 28, 1], [1, 29, 36, 120, 85, 57, 22, 2], [1, 30, 30, 135, 65, 72, 16, 3], [1, 31, 24, 150, 45, 87, 10, 4], [2, 21, 63, 70, 140, 21, 35, 0], [2, 22, 57, 85, 120, 36, 29, 1], [2, 23, 51, 100, 100, 51, 23, 2], [2, 24, 45, 115, 80, 66, 17, 3], [2, 25, 39, 130, 60, 81, 11, 4], [2, 26, 33, 145, 40, 96, 5, 5], [3, 15, 78, 50, 155, 15, 36, 0], [3, 16, 72, 65, 135, 30, 30, 1], [3, 17, 66, 80, 115, 45, 24, 2], [3, 18, 60, 95, 95, 60, 18, 3], [3, 19, 54, 110, 75, 75, 12, 4], [3, 20, 48, 125, 55, 90, 6, 5], [3, 21, 42, 140, 35, 105, 0, 6], [4, 10, 87, 45, 150, 24, 31, 1], [4, 11, 81, 60, 130, 39, 25, 2], [4, 12, 75, 75, 110, 54, 19, 3], [4, 13, 69, 90, 90, 69, 13, 4], [4, 14, 63, 105, 70, 84, 7, 5], [4, 15, 57, 120, 50, 99, 1, 6], [5, 5, 96, 40, 145, 33, 26, 2], [5, 6, 90, 55, 125, 48, 20, 3], [5, 7, 84, 70, 105, 63, 14, 4], [5, 8, 78, 85, 85, 78, 8, 5], [5, 9, 72, 100, 65, 93, 2, 6], [6, 0, 105, 35, 140, 42, 21, 3], [6, 1, 99, 50, 120, 57, 15, 4], [6, 2, 93, 65, 100, 72, 9, 5], [6, 3, 87, 80, 80, 87, 3, 6]}
(8, 352, 5) has 77 possible DDs: {[0, 14, 48, 34, 160, 34, 48, 14, 0], [0, 15, 42, 49, 140, 49, 42, 15, 0], [0, 16, 36, 64, 120, 64, 36, 16, 0], [0, 16, 37, 58, 135, 44, 51, 10, 1], [0, 17, 30, 79, 100, 79, 30, 17, 0], [0, 17, 31, 73, 115, 59, 45, 11, 1], [0, 17, 32, 67, 130, 39, 60, 5, 2], [0, 18, 24, 94, 80, 94, 24, 18, 0], [0, 18, 25, 88, 95, 74, 39, 12, 1], [0, 18, 26, 82, 110, 54, 54, 6, 2], [0, 19, 18, 109, 60, 109, 18, 19, 0], [0, 19, 19, 103, 75, 89, 33, 13, 1], [0, 19, 20, 97, 90, 69, 48, 7, 2], [0, 19, 21, 91, 105, 49, 63, 1, 3], [0, 20, 14, 112, 70, 84, 42, 8, 2], [0, 20, 15, 106, 85, 64, 57, 2, 3], [1, 10, 51, 44, 135, 58, 37, 16, 0], [1, 10, 52, 38, 150, 38, 52, 10, 1], [1, 11, 45, 59, 115, 73, 31, 17, 0], [1, 11, 46, 53, 130, 53, 46, 11, 1], [1, 12, 39, 74, 95, 88, 25, 18, 0], [1, 12, 40, 68, 110, 68, 40, 12, 1], [1, 12, 41, 62, 125, 48, 55, 6, 2], [1, 13, 33, 89, 75, 103, 19, 19, 0], [1, 13, 34, 83, 90, 83, 34, 13, 1], [1, 13, 35, 77, 105, 63, 49, 7, 2], [1, 13, 36, 71, 120, 43, 64, 1, 3], [1, 14, 28, 98, 70, 98, 28, 14, 1], [1, 14, 29, 92, 85, 78, 43, 8, 2], [1, 14, 30, 86, 100, 58, 58, 2, 3], [1, 15, 22, 113, 50, 113, 22, 15, 1], [1, 15, 23, 107, 65, 93, 37, 9, 2], [1, 15, 24, 101, 80, 73, 52, 3, 3], [1, 16, 18, 116, 60, 88, 46, 4, 3], [2, 5, 60, 39, 130, 67, 32, 17, 0], [2, 6, 54, 54, 110, 82, 26, 18, 0], [2, 6, 55, 48, 125, 62, 41, 12, 1], [2, 6, 56, 42, 140, 42, 56, 6, 2], [2, 7, 48, 69, 90, 97, 20, 19, 0], [2, 7, 49, 63, 105, 77, 35, 13, 1], [2, 7, 50, 57, 120, 57, 50, 7, 2], [2, 8, 42, 84, 70, 112, 14, 20, 0], [2, 8, 43, 78, 85, 92, 29, 14, 1], [2, 8, 44, 72, 100, 72, 44, 8, 2], [2, 8, 45, 66, 115, 52, 59, 2, 3], [2, 9, 37, 93, 65, 107, 23, 15, 1], [2, 9, 38, 87, 80, 87, 38, 9, 2], [2, 9, 39, 81, 95, 67, 53, 3, 3], [2, 10, 32, 102, 60, 102, 32, 10, 2], [2, 10, 33, 96, 75, 82, 47, 4, 3], [2, 11, 26, 117, 40, 117, 26, 11, 2], [2, 11, 27, 111, 55, 97, 41, 5, 3], [2, 12, 22, 120, 50, 92, 50, 0, 4], [3, 1, 63, 49, 105, 91, 21, 19, 0], [3, 1, 64, 43, 120, 71, 36, 13, 1], [3, 2, 57, 64, 85, 106, 15, 20, 0], [3, 2, 58, 58, 100, 86, 30, 14, 1], [3, 2, 59, 52, 115, 66, 45, 8, 2], [3, 2, 60, 46, 130, 46, 60, 2, 3], [3, 3, 52, 73, 80, 101, 24, 15, 1], [3, 3, 53, 67, 95, 81, 39, 9, 2], [3, 3, 54, 61, 110, 61, 54, 3, 3], [3, 4, 46, 88, 60, 116, 18, 16, 1], [3, 4, 47, 82, 75, 96, 33, 10, 2], [3, 4, 48, 76, 90, 76, 48, 4, 3], [3, 5, 41, 97, 55, 111, 27, 11, 2], [3, 5, 42, 91, 70, 91, 42, 5, 3], [3, 6, 36, 106, 50, 106, 36, 6, 3], [3, 6, 37, 100, 65, 86, 51, 0, 4], [3, 7, 30, 121, 30, 121, 30, 7, 3], [3, 7, 31, 115, 45, 101, 45, 1, 4], [4, 0, 50, 92, 50, 120, 22, 12, 2], [4, 0, 51, 86, 65, 100, 37, 6, 3], [4, 0, 52, 80, 80, 80, 52, 0, 4], [4, 1, 45, 101, 45, 115, 31, 7, 3], [4, 1, 46, 95, 60, 95, 46, 1, 4], [4, 2, 40, 110, 40, 110, 40, 2, 4]}
(9, 352, 5) has 230 possible DDs: {[0, 4, 46, 14, 112, 112, 14, 46, 4, 0], [0, 5, 41, 23, 107, 107, 23, 41, 5, 0], [0, 5, 42, 17, 122, 87, 38, 35, 6, 0], [0, 6, 35, 38, 87, 122, 17, 42, 5, 0], [0, 6, 36, 32, 102, 102, 32, 36, 6, 0], [0, 6, 37, 26, 117, 82, 47, 30, 7, 0], [0, 6, 37, 27, 111, 97, 27, 45, 1, 1], [0, 6, 38, 20, 132, 62, 62, 24, 8, 0], [0, 6, 38, 21, 126, 77, 42, 39, 2, 1], [0, 6, 39, 15, 141, 57, 57, 33, 3, 1], [0, 7, 30, 47, 82, 117, 26, 37, 6, 0], [0, 7, 31, 41, 97, 97, 41, 31, 7, 0], [0, 7, 31, 42, 91, 112, 21, 46, 1, 1], [0, 7, 32, 35, 112, 77, 56, 25, 8, 0], [0, 7, 32, 36, 106, 92, 36, 40, 2, 1], [0, 7, 33, 29, 127, 57, 71, 19, 9, 0], [0, 7, 33, 30, 121, 72, 51, 34, 3, 1], [0, 7, 34, 24, 136, 52, 66, 28, 4, 1], [0, 8, 24, 62, 62, 132, 20, 38, 6, 0], [0, 8, 25, 56, 77, 112, 35, 32, 7, 0], [0, 8, 26, 50, 92, 92, 50, 26, 8, 0], [0, 8, 26, 51, 86, 107, 30, 41, 2, 1], [0, 8, 27, 44, 107, 72, 65, 20, 9, 0], [0, 8, 27, 45, 101, 87, 45, 35, 3, 1], [0, 8, 28, 38, 122, 52, 80, 14, 10, 0], [0, 8, 28, 39, 116, 67, 60, 29, 4, 1], [0, 8, 29, 33, 131, 47, 75, 23, 5, 1], [0, 8, 30, 28, 140, 42, 70, 32, 0, 2], [0, 9, 19, 71, 57, 127, 29, 33, 7, 0], [0, 9, 20, 65, 72, 107, 44, 27, 8, 0], [0, 9, 20, 66, 66, 122, 24, 42, 2, 1], [0, 9, 21, 59, 87, 87, 59, 21, 9, 0], [0, 9, 21, 60, 81, 102, 39, 36, 3, 1], [0, 9, 22, 53, 102, 67, 74, 15, 10, 0], [0, 9, 22, 54, 96, 82, 54, 30, 4, 1], [0, 9, 23, 47, 117, 47, 89, 9, 11, 0], [0, 9, 23, 48, 111, 62, 69, 24, 5, 1], [0, 9, 24, 42, 126, 42, 84, 18, 6, 1], [0, 9, 24, 43, 120, 57, 64, 33, 0, 2], [0, 10, 14, 80, 52, 122, 38, 28, 8, 0], [0, 10, 15, 74, 67, 102, 53, 22, 9, 0], [0, 10, 15, 75, 61, 117, 33, 37, 3, 1], [0, 10, 16, 68, 82, 82, 68, 16, 10, 0], [0, 10, 16, 69, 76, 97, 48, 31, 4, 1], [0, 10, 17, 62, 97, 62, 83, 10, 11, 0], [0, 10, 17, 63, 91, 77, 63, 25, 5, 1], [0, 10, 18, 57, 106, 57, 78, 19, 6, 1], [0, 10, 18, 58, 100, 72, 58, 34, 0, 2], [0, 10, 19, 51, 121, 37, 93, 13, 7, 1], [0, 10, 19, 52, 115, 52, 73, 28, 1, 2], [0, 11, 9, 89, 47, 117, 47, 23, 9, 0], [0, 11, 10, 83, 62, 97, 62, 17, 10, 0], [0, 11, 10, 84, 56, 112, 42, 32, 4, 1], [0, 11, 11, 77, 77, 77, 77, 11, 11, 0], [0, 11, 11, 78, 71, 92, 57, 26, 5, 1], [0, 11, 12, 72, 86, 72, 72, 20, 6, 1], [0, 11, 12, 73, 80, 87, 52, 35, 0, 2], [0, 11, 13, 66, 101, 52, 87, 14, 7, 1], [0, 11, 13, 67, 95, 67, 67, 29, 1, 2], [0, 11, 14, 61, 110, 47, 82, 23, 2, 2], [0, 12, 6, 86, 72, 72, 86, 6, 12, 0], [0, 12, 6, 87, 66, 87, 66, 21, 6, 1], [0, 12, 7, 81, 81, 67, 81, 15, 7, 1], [0, 12, 7, 82, 75, 82, 61, 30, 1, 2], [0, 12, 8, 76, 90, 62, 76, 24, 2, 2], [0, 12, 9, 70, 105, 42, 91, 18, 3, 2], [1, 1, 45, 27, 97, 111, 27, 37, 6, 0], [1, 1, 46, 21, 112, 91, 42, 31, 7, 0], [1, 1, 46, 22, 106, 106, 22, 46, 1, 1], [1, 2, 39, 42, 77, 126, 21, 38, 6, 0], [1, 2, 40, 36, 92, 106, 36, 32, 7, 0], [1, 2, 41, 30, 107, 86, 51, 26, 8, 0], [1, 2, 41, 31, 101, 101, 31, 41, 2, 1], [1, 2, 42, 24, 122, 66, 66, 20, 9, 0], [1, 2, 42, 25, 116, 81, 46, 35, 3, 1], [1, 2, 43, 19, 131, 61, 61, 29, 4, 1], [1, 3, 33, 57, 57, 141, 15, 39, 6, 0], [1, 3, 34, 51, 72, 121, 30, 33, 7, 0], [1, 3, 35, 45, 87, 101, 45, 27, 8, 0], [1, 3, 35, 46, 81, 116, 25, 42, 2, 1], [1, 3, 36, 39, 102, 81, 60, 21, 9, 0], [1, 3, 36, 40, 96, 96, 40, 36, 3, 1], [1, 3, 37, 33, 117, 61, 75, 15, 10, 0], [1, 3, 37, 34, 111, 76, 55, 30, 4, 1], [1, 3, 38, 28, 126, 56, 70, 24, 5, 1], [1, 3, 39, 23, 135, 51, 65, 33, 0, 2], [1, 4, 28, 66, 52, 136, 24, 34, 7, 0], [1, 4, 29, 60, 67, 116, 39, 28, 8, 0], [1, 4, 29, 61, 61, 131, 19, 43, 2, 1], [1, 4, 30, 54, 82, 96, 54, 22, 9, 0], [1, 4, 30, 55, 76, 111, 34, 37, 3, 1], [1, 4, 31, 48, 97, 76, 69, 16, 10, 0], [1, 4, 31, 49, 91, 91, 49, 31, 4, 1], [1, 4, 32, 42, 112, 56, 84, 10, 11, 0], [1, 4, 32, 43, 106, 71, 64, 25, 5, 1], [1, 4, 33, 37, 121, 51, 79, 19, 6, 1], [1, 4, 33, 38, 115, 66, 59, 34, 0, 2], [1, 5, 23, 75, 47, 131, 33, 29, 8, 0], [1, 5, 24, 69, 62, 111, 48, 23, 9, 0], [1, 5, 24, 70, 56, 126, 28, 38, 3, 1], [1, 5, 25, 63, 77, 91, 63, 17, 10, 0], [1, 5, 25, 64, 71, 106, 43, 32, 4, 1], [1, 5, 26, 57, 92, 71, 78, 11, 11, 0], [1, 5, 26, 58, 86, 86, 58, 26, 5, 1], [1, 5, 27, 52, 101, 66, 73, 20, 6, 1], [1, 5, 27, 53, 95, 81, 53, 35, 0, 2], [1, 5, 28, 46, 116, 46, 88, 14, 7, 1], [1, 5, 28, 47, 110, 61, 68, 29, 1, 2], [1, 5, 29, 41, 125, 41, 83, 23, 2, 2], [1, 6, 18, 84, 42, 126, 42, 24, 9, 0], [1, 6, 19, 78, 57, 106, 57, 18, 10, 0], [1, 6, 19, 79, 51, 121, 37, 33, 4, 1], [1, 6, 20, 72, 72, 86, 72, 12, 11, 0], [1, 6, 20, 73, 66, 101, 52, 27, 5, 1], [1, 6, 21, 66, 87, 66, 87, 6, 12, 0], [1, 6, 21, 67, 81, 81, 67, 21, 6, 1], [1, 6, 21, 68, 75, 96, 47, 36, 0, 2], [1, 6, 22, 61, 96, 61, 82, 15, 7, 1], [1, 6, 22, 62, 90, 76, 62, 30, 1, 2], [1, 6, 23, 55, 111, 41, 97, 9, 8, 1], [1, 6, 23, 56, 105, 56, 77, 24, 2, 2], [1, 6, 24, 50, 120, 36, 92, 18, 3, 2], [1, 7, 13, 93, 37, 121, 51, 19, 10, 0], [1, 7, 14, 87, 52, 101, 66, 13, 11, 0], [1, 7, 14, 88, 46, 116, 46, 28, 5, 1], [1, 7, 15, 81, 67, 81, 81, 7, 12, 0], [1, 7, 15, 82, 61, 96, 61, 22, 6, 1], [1, 7, 15, 83, 55, 111, 41, 37, 0, 2], [1, 7, 16, 76, 76, 76, 76, 16, 7, 1], [1, 7, 16, 77, 70, 91, 56, 31, 1, 2], [1, 7, 17, 70, 91, 56, 91, 10, 8, 1], [1, 7, 17, 71, 85, 71, 71, 25, 2, 2], [1, 7, 18, 65, 100, 51, 86, 19, 3, 2], [1, 7, 19, 59, 115, 31, 101, 13, 4, 2], [1, 8, 9, 97, 41, 111, 55, 23, 6, 1], [1, 8, 10, 91, 56, 91, 70, 17, 7, 1], [1, 8, 10, 92, 50, 106, 50, 32, 1, 2], [1, 8, 11, 85, 71, 71, 85, 11, 8, 1], [1, 8, 11, 86, 65, 86, 65, 26, 2, 2], [1, 8, 12, 79, 86, 51, 100, 5, 9, 1], [1, 8, 12, 80, 80, 66, 80, 20, 3, 2], [1, 8, 13, 74, 95, 46, 95, 14, 4, 2], [1, 9, 5, 100, 51, 86, 79, 12, 8, 1], [1, 9, 5, 101, 45, 101, 59, 27, 2, 2], [1, 9, 6, 94, 66, 66, 94, 6, 9, 1], [1, 9, 6, 95, 60, 81, 74, 21, 3, 2], [1, 9, 7, 89, 75, 61, 89, 15, 4, 2], [1, 9, 8, 83, 90, 41, 104, 9, 5, 2], [1, 9, 9, 78, 99, 36, 99, 18, 0, 3], [2, 0, 32, 70, 42, 140, 28, 30, 8, 0], [2, 0, 33, 64, 57, 120, 43, 24, 9, 0], [2, 0, 33, 65, 51, 135, 23, 39, 3, 1], [2, 0, 34, 58, 72, 100, 58, 18, 10, 0], [2, 0, 34, 59, 66, 115, 38, 33, 4, 1], [2, 0, 35, 52, 87, 80, 73, 12, 11, 0], [2, 0, 35, 53, 81, 95, 53, 27, 5, 1], [2, 0, 36, 47, 96, 75, 68, 21, 6, 1], [2, 0, 36, 48, 90, 90, 48, 36, 0, 2], [2, 0, 37, 41, 111, 55, 83, 15, 7, 1], [2, 0, 37, 42, 105, 70, 63, 30, 1, 2], [2, 0, 38, 36, 120, 50, 78, 24, 2, 2], [2, 1, 28, 73, 52, 115, 52, 19, 10, 0], [2, 1, 29, 67, 67, 95, 67, 13, 11, 0], [2, 1, 29, 68, 61, 110, 47, 28, 5, 1], [2, 1, 30, 61, 82, 75, 82, 7, 12, 0], [2, 1, 30, 62, 76, 90, 62, 22, 6, 1], [2, 1, 30, 63, 70, 105, 42, 37, 0, 2], [2, 1, 31, 56, 91, 70, 77, 16, 7, 1], [2, 1, 31, 57, 85, 85, 57, 31, 1, 2], [2, 1, 32, 50, 106, 50, 92, 10, 8, 1], [2, 1, 32, 51, 100, 65, 72, 25, 2, 2], [2, 1, 33, 45, 115, 45, 87, 19, 3, 2], [2, 2, 23, 82, 47, 110, 61, 14, 11, 0], [2, 2, 23, 83, 41, 125, 41, 29, 5, 1], [2, 2, 24, 76, 62, 90, 76, 8, 12, 0], [2, 2, 24, 77, 56, 105, 56, 23, 6, 1], [2, 2, 24, 78, 50, 120, 36, 38, 0, 2], [2, 2, 25, 71, 71, 85, 71, 17, 7, 1], [2, 2, 25, 72, 65, 100, 51, 32, 1, 2], [2, 2, 26, 65, 86, 65, 86, 11, 8, 1], [2, 2, 26, 66, 80, 80, 66, 26, 2, 2], [2, 2, 27, 59, 101, 45, 101, 5, 9, 1], [2, 2, 27, 60, 95, 60, 81, 20, 3, 2], [2, 2, 28, 54, 110, 40, 96, 14, 4, 2], [2, 3, 18, 91, 42, 105, 70, 9, 12, 0], [2, 3, 18, 92, 36, 120, 50, 24, 6, 1], [2, 3, 19, 86, 51, 100, 65, 18, 7, 1], [2, 3, 19, 87, 45, 115, 45, 33, 1, 2], [2, 3, 20, 80, 66, 80, 80, 12, 8, 1], [2, 3, 20, 81, 60, 95, 60, 27, 2, 2], [2, 3, 21, 74, 81, 60, 95, 6, 9, 1], [2, 3, 21, 75, 75, 75, 75, 21, 3, 2], [2, 3, 22, 69, 90, 55, 90, 15, 4, 2], [2, 3, 23, 63, 105, 35, 105, 9, 5, 2], [2, 3, 24, 58, 114, 30, 100, 18, 0, 3], [2, 4, 13, 101, 31, 115, 59, 19, 7, 1], [2, 4, 14, 95, 46, 95, 74, 13, 8, 1], [2, 4, 14, 96, 40, 110, 54, 28, 2, 2], [2, 4, 15, 89, 61, 75, 89, 7, 9, 1], [2, 4, 15, 90, 55, 90, 69, 22, 3, 2], [2, 4, 16, 84, 70, 70, 84, 16, 4, 2], [2, 4, 17, 78, 85, 50, 99, 10, 5, 2], [2, 4, 18, 73, 94, 45, 94, 19, 0, 3], [2, 5, 9, 104, 41, 90, 83, 8, 9, 1], [2, 5, 9, 105, 35, 105, 63, 23, 3, 2], [2, 5, 10, 99, 50, 85, 78, 17, 4, 2], [2, 5, 11, 93, 65, 65, 93, 11, 5, 2], [2, 5, 12, 87, 80, 45, 108, 5, 6, 2], [2, 5, 12, 88, 74, 60, 88, 20, 0, 3], [2, 5, 13, 82, 89, 40, 103, 14, 1, 3], [2, 6, 5, 108, 45, 80, 87, 12, 5, 2], [2, 6, 6, 102, 60, 60, 102, 6, 6, 2], [2, 6, 6, 103, 54, 75, 82, 21, 0, 3], [2, 6, 7, 97, 69, 55, 97, 15, 1, 3], [3, 0, 18, 99, 36, 99, 78, 9, 9, 1], [3, 0, 18, 100, 30, 114, 58, 24, 3, 2], [3, 0, 19, 94, 45, 94, 73, 18, 4, 2], [3, 0, 20, 88, 60, 74, 88, 12, 5, 2], [3, 0, 21, 82, 75, 54, 103, 6, 6, 2], [3, 0, 21, 83, 69, 69, 83, 21, 0, 3], [3, 0, 22, 77, 84, 49, 98, 15, 1, 3], [3, 1, 14, 103, 40, 89, 82, 13, 5, 2], [3, 1, 15, 97, 55, 69, 97, 7, 6, 2], [3, 1, 15, 98, 49, 84, 77, 22, 0, 3], [3, 1, 16, 92, 64, 64, 92, 16, 1, 3], [3, 1, 17, 86, 79, 44, 107, 10, 2, 3], [3, 2, 10, 107, 44, 79, 86, 17, 1, 3], [3, 2, 11, 101, 59, 59, 101, 11, 2, 3], [3, 3, 6, 110, 54, 54, 110, 6, 3, 3], [4, 0, 6, 118, 48, 48, 118, 6, 0, 4]}
(10, 352, 5) has 771 possible DDs: {[0, 0, 30, 40, 10, 192, 10, 40, 30, 0, 0], [0, 0, 31, 34, 25, 172, 25, 34, 31, 0, 0], [0, 0, 32, 28, 40, 152, 40, 28, 32, 0, 0], [0, 0, 33, 22, 55, 132, 55, 22, 33, 0, 0], [0, 0, 33, 23, 49, 147, 35, 37, 27, 1, 0], [0, 0, 34, 16, 70, 112, 70, 16, 34, 0, 0], [0, 0, 34, 17, 64, 127, 50, 31, 28, 1, 0], [0, 0, 34, 18, 58, 142, 30, 46, 22, 2, 0], [0, 0, 35, 10, 85, 92, 85, 10, 35, 0, 0], [0, 0, 35, 11, 79, 107, 65, 25, 29, 1, 0], [0, 0, 35, 12, 73, 122, 45, 40, 23, 2, 0], [0, 0, 36, 6, 88, 102, 60, 34, 24, 2, 0], [0, 0, 36, 7, 82, 117, 40, 49, 18, 3, 0], [0, 1, 27, 37, 35, 147, 49, 23, 33, 0, 0], [0, 1, 27, 38, 29, 162, 29, 38, 27, 1, 0], [0, 1, 28, 31, 50, 127, 64, 17, 34, 0, 0], [0, 1, 28, 32, 44, 142, 44, 32, 28, 1, 0], [0, 1, 28, 33, 38, 157, 24, 47, 22, 2, 0], [0, 1, 29, 25, 65, 107, 79, 11, 35, 0, 0], [0, 1, 29, 26, 59, 122, 59, 26, 29, 1, 0], [0, 1, 29, 27, 53, 137, 39, 41, 23, 2, 0], [0, 1, 29, 28, 47, 152, 19, 56, 17, 3, 0], [0, 1, 30, 20, 74, 102, 74, 20, 30, 1, 0], [0, 1, 30, 21, 68, 117, 54, 35, 24, 2, 0], [0, 1, 30, 22, 62, 132, 34, 50, 18, 3, 0], [0, 1, 31, 14, 89, 82, 89, 14, 31, 1, 0], [0, 1, 31, 15, 83, 97, 69, 29, 25, 2, 0], [0, 1, 31, 16, 77, 112, 49, 44, 19, 3, 0], [0, 1, 31, 17, 71, 127, 29, 59, 13, 4, 0], [0, 1, 32, 8, 104, 62, 104, 8, 32, 1, 0], [0, 1, 32, 9, 98, 77, 84, 23, 26, 2, 0], [0, 1, 32, 10, 92, 92, 64, 38, 20, 3, 0], [0, 1, 32, 11, 86, 107, 44, 53, 14, 4, 0], [0, 2, 22, 46, 30, 142, 58, 18, 34, 0, 0], [0, 2, 22, 47, 24, 157, 38, 33, 28, 1, 0], [0, 2, 22, 48, 18, 172, 18, 48, 22, 2, 0], [0, 2, 23, 40, 45, 122, 73, 12, 35, 0, 0], [0, 2, 23, 41, 39, 137, 53, 27, 29, 1, 0], [0, 2, 23, 42, 33, 152, 33, 42, 23, 2, 0], [0, 2, 24, 34, 60, 102, 88, 6, 36, 0, 0], [0, 2, 24, 35, 54, 117, 68, 21, 30, 1, 0], [0, 2, 24, 36, 48, 132, 48, 36, 24, 2, 0], [0, 2, 24, 37, 42, 147, 28, 51, 18, 3, 0], [0, 2, 25, 29, 69, 97, 83, 15, 31, 1, 0], [0, 2, 25, 30, 63, 112, 63, 30, 25, 2, 0], [0, 2, 25, 31, 57, 127, 43, 45, 19, 3, 0], [0, 2, 25, 32, 51, 142, 23, 60, 13, 4, 0], [0, 2, 26, 23, 84, 77, 98, 9, 32, 1, 0], [0, 2, 26, 24, 78, 92, 78, 24, 26, 2, 0], [0, 2, 26, 25, 72, 107, 58, 39, 20, 3, 0], [0, 2, 26, 26, 66, 122, 38, 54, 14, 4, 0], [0, 2, 26, 28, 55, 146, 13, 64, 17, 0, 1], [0, 2, 27, 18, 93, 72, 93, 18, 27, 2, 0], [0, 2, 27, 19, 87, 87, 73, 33, 21, 3, 0], [0, 2, 27, 20, 81, 102, 53, 48, 15, 4, 0], [0, 2, 27, 21, 75, 117, 33, 63, 9, 5, 0], [0, 2, 27, 22, 70, 126, 28, 58, 18, 0, 1], [0, 2, 28, 12, 108, 52, 108, 12, 28, 2, 0], [0, 2, 28, 13, 102, 67, 88, 27, 22, 3, 0], [0, 2, 28, 14, 96, 82, 68, 42, 16, 4, 0], [0, 2, 28, 15, 90, 97, 48, 57, 10, 5, 0], [0, 2, 28, 16, 84, 112, 28, 72, 4, 6, 0], [0, 2, 28, 16, 85, 106, 43, 52, 19, 0, 1], [0, 2, 28, 17, 79, 121, 23, 67, 13, 1, 1], [0, 2, 29, 8, 111, 62, 83, 36, 17, 4, 0], [0, 2, 29, 9, 105, 77, 63, 51, 11, 5, 0], [0, 2, 29, 10, 99, 92, 43, 66, 5, 6, 0], [0, 2, 29, 10, 100, 86, 58, 46, 20, 0, 1], [0, 2, 29, 11, 94, 101, 38, 61, 14, 1, 1], [0, 2, 30, 3, 120, 57, 78, 45, 12, 5, 0], [0, 2, 30, 4, 114, 72, 58, 60, 6, 6, 0], [0, 2, 30, 4, 115, 66, 73, 40, 21, 0, 1], [0, 2, 30, 5, 109, 81, 53, 55, 15, 1, 1], [0, 3, 17, 56, 19, 152, 47, 28, 29, 1, 0], [0, 3, 18, 49, 40, 117, 82, 7, 36, 0, 0], [0, 3, 18, 50, 34, 132, 62, 22, 30, 1, 0], [0, 3, 18, 51, 28, 147, 42, 37, 24, 2, 0], [0, 3, 18, 52, 22, 162, 22, 52, 18, 3, 0], [0, 3, 19, 44, 49, 112, 77, 16, 31, 1, 0], [0, 3, 19, 45, 43, 127, 57, 31, 25, 2, 0], [0, 3, 19, 46, 37, 142, 37, 46, 19, 3, 0], [0, 3, 20, 38, 64, 92, 92, 10, 32, 1, 0], [0, 3, 20, 39, 58, 107, 72, 25, 26, 2, 0], [0, 3, 20, 40, 52, 122, 52, 40, 20, 3, 0], [0, 3, 20, 41, 46, 137, 32, 55, 14, 4, 0], [0, 3, 21, 33, 73, 87, 87, 19, 27, 2, 0], [0, 3, 21, 34, 67, 102, 67, 34, 21, 3, 0], [0, 3, 21, 35, 61, 117, 47, 49, 15, 4, 0], [0, 3, 21, 36, 55, 132, 27, 64, 9, 5, 0], [0, 3, 21, 37, 50, 141, 22, 59, 18, 0, 1], [0, 3, 22, 27, 88, 67, 102, 13, 28, 2, 0], [0, 3, 22, 28, 82, 82, 82, 28, 22, 3, 0], [0, 3, 22, 29, 76, 97, 62, 43, 16, 4, 0], [0, 3, 22, 30, 70, 112, 42, 58, 10, 5, 0], [0, 3, 22, 31, 64, 127, 22, 73, 4, 6, 0], [0, 3, 22, 31, 65, 121, 37, 53, 19, 0, 1], [0, 3, 22, 32, 59, 136, 17, 68, 13, 1, 1], [0, 3, 23, 22, 97, 62, 97, 22, 23, 3, 0], [0, 3, 23, 23, 91, 77, 77, 37, 17, 4, 0], [0, 3, 23, 24, 85, 92, 57, 52, 11, 5, 0], [0, 3, 23, 25, 79, 107, 37, 67, 5, 6, 0], [0, 3, 23, 25, 80, 101, 52, 47, 20, 0, 1], [0, 3, 23, 26, 74, 116, 32, 62, 14, 1, 1], [0, 3, 24, 16, 112, 42, 112, 16, 24, 3, 0], [0, 3, 24, 17, 106, 57, 92, 31, 18, 4, 0], [0, 3, 24, 18, 100, 72, 72, 46, 12, 5, 0], [0, 3, 24, 19, 94, 87, 52, 61, 6, 6, 0], [0, 3, 24, 19, 95, 81, 67, 41, 21, 0, 1], [0, 3, 24, 20, 89, 96, 47, 56, 15, 1, 1], [0, 3, 24, 21, 83, 111, 27, 71, 9, 2, 1], [0, 3, 25, 12, 115, 52, 87, 40, 13, 5, 0], [0, 3, 25, 13, 109, 67, 67, 55, 7, 6, 0], [0, 3, 25, 13, 110, 61, 82, 35, 22, 0, 1], [0, 3, 25, 14, 104, 76, 62, 50, 16, 1, 1], [0, 3, 25, 15, 98, 91, 42, 65, 10, 2, 1], [0, 3, 26, 8, 119, 56, 77, 44, 17, 1, 1], [0, 3, 26, 9, 113, 71, 57, 59, 11, 2, 1], [0, 4, 13, 59, 29, 127, 71, 17, 31, 1, 0], [0, 4, 13, 60, 23, 142, 51, 32, 25, 2, 0], [0, 4, 14, 53, 44, 107, 86, 11, 32, 1, 0], [0, 4, 14, 54, 38, 122, 66, 26, 26, 2, 0], [0, 4, 14, 55, 32, 137, 46, 41, 20, 3, 0], [0, 4, 14, 56, 26, 152, 26, 56, 14, 4, 0], [0, 4, 15, 48, 53, 102, 81, 20, 27, 2, 0], [0, 4, 15, 49, 47, 117, 61, 35, 21, 3, 0], [0, 4, 15, 50, 41, 132, 41, 50, 15, 4, 0], [0, 4, 15, 52, 30, 156, 16, 60, 18, 0, 1], [0, 4, 16, 42, 68, 82, 96, 14, 28, 2, 0], [0, 4, 16, 43, 62, 97, 76, 29, 22, 3, 0], [0, 4, 16, 44, 56, 112, 56, 44, 16, 4, 0], [0, 4, 16, 45, 50, 127, 36, 59, 10, 5, 0], [0, 4, 16, 46, 45, 136, 31, 54, 19, 0, 1], [0, 4, 17, 36, 83, 62, 111, 8, 29, 2, 0], [0, 4, 17, 37, 77, 77, 91, 23, 23, 3, 0], [0, 4, 17, 38, 71, 92, 71, 38, 17, 4, 0], [0, 4, 17, 39, 65, 107, 51, 53, 11, 5, 0], [0, 4, 17, 40, 59, 122, 31, 68, 5, 6, 0], [0, 4, 17, 40, 60, 116, 46, 48, 20, 0, 1], [0, 4, 17, 41, 54, 131, 26, 63, 14, 1, 1], [0, 4, 18, 31, 92, 57, 106, 17, 24, 3, 0], [0, 4, 18, 32, 86, 72, 86, 32, 18, 4, 0], [0, 4, 18, 33, 80, 87, 66, 47, 12, 5, 0], [0, 4, 18, 34, 74, 102, 46, 62, 6, 6, 0], [0, 4, 18, 34, 75, 96, 61, 42, 21, 0, 1], [0, 4, 18, 35, 69, 111, 41, 57, 15, 1, 1], [0, 4, 18, 36, 63, 126, 21, 72, 9, 2, 1], [0, 4, 19, 26, 101, 52, 101, 26, 19, 4, 0], [0, 4, 19, 27, 95, 67, 81, 41, 13, 5, 0], [0, 4, 19, 28, 89, 82, 61, 56, 7, 6, 0], [0, 4, 19, 28, 90, 76, 76, 36, 22, 0, 1], [0, 4, 19, 29, 83, 97, 41, 71, 1, 7, 0], [0, 4, 19, 29, 84, 91, 56, 51, 16, 1, 1], [0, 4, 19, 30, 78, 106, 36, 66, 10, 2, 1], [0, 4, 20, 20, 116, 32, 116, 20, 20, 4, 0], [0, 4, 20, 21, 110, 47, 96, 35, 14, 5, 0], [0, 4, 20, 22, 104, 62, 76, 50, 8, 6, 0], [0, 4, 20, 22, 105, 56, 91, 30, 23, 0, 1], [0, 4, 20, 23, 98, 77, 56, 65, 2, 7, 0], [0, 4, 20, 23, 99, 71, 71, 45, 17, 1, 1], [0, 4, 20, 24, 93, 86, 51, 60, 11, 2, 1], [0, 4, 20, 25, 87, 101, 31, 75, 5, 3, 1], [0, 4, 21, 16, 119, 42, 91, 44, 9, 6, 0], [0, 4, 21, 16, 120, 36, 106, 24, 24, 0, 1], [0, 4, 21, 17, 113, 57, 71, 59, 3, 7, 0], [0, 4, 21, 17, 114, 51, 86, 39, 18, 1, 1], [0, 4, 21, 18, 108, 66, 66, 54, 12, 2, 1], [0, 4, 21, 19, 102, 81, 46, 69, 6, 3, 1], [0, 4, 22, 12, 123, 46, 81, 48, 13, 2, 1], [0, 4, 22, 13, 117, 61, 61, 63, 7, 3, 1], [0, 4, 23, 10, 115, 80, 31, 82, 5, 0, 2], [0, 5, 9, 63, 33, 117, 75, 21, 27, 2, 0], [0, 5, 9, 64, 27, 132, 55, 36, 21, 3, 0], [0, 5, 10, 57, 48, 97, 90, 15, 28, 2, 0], [0, 5, 10, 58, 42, 112, 70, 30, 22, 3, 0], [0, 5, 10, 59, 36, 127, 50, 45, 16, 4, 0], [0, 5, 10, 60, 30, 142, 30, 60, 10, 5, 0], [0, 5, 11, 51, 63, 77, 105, 9, 29, 2, 0], [0, 5, 11, 52, 57, 92, 85, 24, 23, 3, 0], [0, 5, 11, 53, 51, 107, 65, 39, 17, 4, 0], [0, 5, 11, 54, 45, 122, 45, 54, 11, 5, 0], [0, 5, 11, 55, 40, 131, 40, 49, 20, 0, 1], [0, 5, 11, 56, 34, 146, 20, 64, 14, 1, 1], [0, 5, 12, 45, 78, 57, 120, 3, 30, 2, 0], [0, 5, 12, 46, 72, 72, 100, 18, 24, 3, 0], [0, 5, 12, 47, 66, 87, 80, 33, 18, 4, 0], [0, 5, 12, 48, 60, 102, 60, 48, 12, 5, 0], [0, 5, 12, 49, 54, 117, 40, 63, 6, 6, 0], [0, 5, 12, 49, 55, 111, 55, 43, 21, 0, 1], [0, 5, 12, 50, 49, 126, 35, 58, 15, 1, 1], [0, 5, 13, 40, 87, 52, 115, 12, 25, 3, 0], [0, 5, 13, 41, 81, 67, 95, 27, 19, 4, 0], [0, 5, 13, 42, 75, 82, 75, 42, 13, 5, 0], [0, 5, 13, 43, 69, 97, 55, 57, 7, 6, 0], [0, 5, 13, 43, 70, 91, 70, 37, 22, 0, 1], [0, 5, 13, 44, 64, 106, 50, 52, 16, 1, 1], [0, 5, 13, 45, 58, 121, 30, 67, 10, 2, 1], [0, 5, 14, 35, 96, 47, 110, 21, 20, 4, 0], [0, 5, 14, 36, 90, 62, 90, 36, 14, 5, 0], [0, 5, 14, 37, 84, 77, 70, 51, 8, 6, 0], [0, 5, 14, 37, 85, 71, 85, 31, 23, 0, 1], [0, 5, 14, 38, 78, 92, 50, 66, 2, 7, 0], [0, 5, 14, 38, 79, 86, 65, 46, 17, 1, 1], [0, 5, 14, 39, 73, 101, 45, 61, 11, 2, 1], [0, 5, 14, 40, 67, 116, 25, 76, 5, 3, 1], [0, 5, 15, 30, 105, 42, 105, 30, 15, 5, 0], [0, 5, 15, 31, 99, 57, 85, 45, 9, 6, 0], [0, 5, 15, 31, 100, 51, 100, 25, 24, 0, 1], [0, 5, 15, 32, 93, 72, 65, 60, 3, 7, 0], [0, 5, 15, 32, 94, 66, 80, 40, 18, 1, 1], [0, 5, 15, 33, 88, 81, 60, 55, 12, 2, 1], [0, 5, 15, 34, 82, 96, 40, 70, 6, 3, 1], [0, 5, 16, 24, 120, 22, 120, 24, 16, 5, 0], [0, 5, 16, 25, 114, 37, 100, 39, 10, 6, 0], [0, 5, 16, 26, 108, 52, 80, 54, 4, 7, 0], [0, 5, 16, 26, 109, 46, 95, 34, 19, 1, 1], [0, 5, 16, 27, 103, 61, 75, 49, 13, 2, 1], [0, 5, 16, 28, 97, 76, 55, 64, 7, 3, 1], [0, 5, 17, 20, 123, 32, 95, 48, 5, 7, 0], [0, 5, 17, 20, 124, 26, 110, 28, 20, 1, 1], [0, 5, 17, 21, 118, 41, 90, 43, 14, 2, 1], [0, 5, 17, 22, 112, 56, 70, 58, 8, 3, 1], [0, 5, 17, 23, 106, 71, 50, 73, 2, 4, 1], [0, 5, 17, 25, 95, 95, 25, 83, 5, 0, 2], [0, 5, 18, 16, 127, 36, 85, 52, 9, 3, 1], [0, 5, 18, 17, 121, 51, 65, 67, 3, 4, 1], [0, 5, 18, 19, 110, 75, 40, 77, 6, 0, 2], [0, 5, 19, 13, 125, 55, 55, 71, 7, 0, 2], [0, 6, 4, 72, 28, 112, 84, 16, 28, 2, 0], [0, 6, 4, 73, 22, 127, 64, 31, 22, 3, 0], [0, 6, 5, 66, 43, 92, 99, 10, 29, 2, 0], [0, 6, 5, 67, 37, 107, 79, 25, 23, 3, 0], [0, 6, 5, 68, 31, 122, 59, 40, 17, 4, 0], [0, 6, 6, 60, 58, 72, 114, 4, 30, 2, 0], [0, 6, 6, 61, 52, 87, 94, 19, 24, 3, 0], [0, 6, 6, 62, 46, 102, 74, 34, 18, 4, 0], [0, 6, 6, 63, 40, 117, 54, 49, 12, 5, 0], [0, 6, 6, 64, 34, 132, 34, 64, 6, 6, 0], [0, 6, 6, 64, 35, 126, 49, 44, 21, 0, 1], [0, 6, 7, 55, 67, 67, 109, 13, 25, 3, 0], [0, 6, 7, 56, 61, 82, 89, 28, 19, 4, 0], [0, 6, 7, 57, 55, 97, 69, 43, 13, 5, 0], [0, 6, 7, 58, 49, 112, 49, 58, 7, 6, 0], [0, 6, 7, 58, 50, 106, 64, 38, 22, 0, 1], [0, 6, 7, 59, 44, 121, 44, 53, 16, 1, 1], [0, 6, 7, 60, 38, 136, 24, 68, 10, 2, 1], [0, 6, 8, 50, 76, 62, 104, 22, 20, 4, 0], [0, 6, 8, 51, 70, 77, 84, 37, 14, 5, 0], [0, 6, 8, 52, 64, 92, 64, 52, 8, 6, 0], [0, 6, 8, 52, 65, 86, 79, 32, 23, 0, 1], [0, 6, 8, 53, 58, 107, 44, 67, 2, 7, 0], [0, 6, 8, 53, 59, 101, 59, 47, 17, 1, 1], [0, 6, 8, 54, 53, 116, 39, 62, 11, 2, 1], [0, 6, 9, 44, 91, 42, 119, 16, 21, 4, 0], [0, 6, 9, 45, 85, 57, 99, 31, 15, 5, 0], [0, 6, 9, 46, 79, 72, 79, 46, 9, 6, 0], [0, 6, 9, 46, 80, 66, 94, 26, 24, 0, 1], [0, 6, 9, 47, 73, 87, 59, 61, 3, 7, 0], [0, 6, 9, 47, 74, 81, 74, 41, 18, 1, 1], [0, 6, 9, 48, 68, 96, 54, 56, 12, 2, 1], [0, 6, 9, 49, 62, 111, 34, 71, 6, 3, 1], [0, 6, 10, 39, 100, 37, 114, 25, 16, 5, 0], [0, 6, 10, 40, 94, 52, 94, 40, 10, 6, 0], [0, 6, 10, 40, 95, 46, 109, 20, 25, 0, 1], [0, 6, 10, 41, 88, 67, 74, 55, 4, 7, 0], [0, 6, 10, 41, 89, 61, 89, 35, 19, 1, 1], [0, 6, 10, 42, 83, 76, 69, 50, 13, 2, 1], [0, 6, 10, 43, 77, 91, 49, 65, 7, 3, 1], [0, 6, 10, 44, 71, 106, 29, 80, 1, 4, 1], [0, 6, 11, 34, 109, 32, 109, 34, 11, 6, 0], [0, 6, 11, 35, 103, 47, 89, 49, 5, 7, 0], [0, 6, 11, 35, 104, 41, 104, 29, 20, 1, 1], [0, 6, 11, 36, 98, 56, 84, 44, 14, 2, 1], [0, 6, 11, 37, 92, 71, 64, 59, 8, 3, 1], [0, 6, 11, 38, 86, 86, 44, 74, 2, 4, 1], [0, 6, 11, 40, 75, 110, 19, 84, 5, 0, 2], [0, 6, 12, 28, 124, 12, 124, 28, 12, 6, 0], [0, 6, 12, 29, 118, 27, 104, 43, 6, 7, 0], [0, 6, 12, 30, 112, 42, 84, 58, 0, 8, 0], [0, 6, 12, 30, 113, 36, 99, 38, 15, 2, 1], [0, 6, 12, 31, 107, 51, 79, 53, 9, 3, 1], [0, 6, 12, 32, 101, 66, 59, 68, 3, 4, 1], [0, 6, 12, 34, 90, 90, 34, 78, 6, 0, 2], [0, 6, 13, 24, 128, 16, 114, 32, 16, 2, 1], [0, 6, 13, 25, 122, 31, 94, 47, 10, 3, 1], [0, 6, 13, 26, 116, 46, 74, 62, 4, 4, 1], [0, 6, 13, 28, 105, 70, 49, 72, 7, 0, 2], [0, 6, 14, 20, 131, 26, 89, 56, 5, 4, 1], [0, 6, 14, 22, 120, 50, 64, 66, 8, 0, 2], [0, 6, 14, 23, 114, 65, 44, 81, 2, 1, 2], [0, 6, 15, 16, 135, 30, 79, 60, 9, 0, 2], [0, 6, 15, 17, 129, 45, 59, 75, 3, 1, 2], [0, 7, 1, 71, 41, 97, 83, 29, 19, 4, 0], [0, 7, 2, 65, 56, 77, 98, 23, 20, 4, 0], [0, 7, 2, 66, 50, 92, 78, 38, 14, 5, 0], [0, 7, 2, 67, 44, 107, 58, 53, 8, 6, 0], [0, 7, 2, 67, 45, 101, 73, 33, 23, 0, 1], [0, 7, 2, 68, 38, 122, 38, 68, 2, 7, 0], [0, 7, 2, 68, 39, 116, 53, 48, 17, 1, 1], [0, 7, 3, 59, 71, 57, 113, 17, 21, 4, 0], [0, 7, 3, 60, 65, 72, 93, 32, 15, 5, 0], [0, 7, 3, 61, 59, 87, 73, 47, 9, 6, 0], [0, 7, 3, 61, 60, 81, 88, 27, 24, 0, 1], [0, 7, 3, 62, 53, 102, 53, 62, 3, 7, 0], [0, 7, 3, 62, 54, 96, 68, 42, 18, 1, 1], [0, 7, 3, 63, 48, 111, 48, 57, 12, 2, 1], [0, 7, 4, 54, 80, 52, 108, 26, 16, 5, 0], [0, 7, 4, 55, 74, 67, 88, 41, 10, 6, 0], [0, 7, 4, 55, 75, 61, 103, 21, 25, 0, 1], [0, 7, 4, 56, 68, 82, 68, 56, 4, 7, 0], [0, 7, 4, 56, 69, 76, 83, 36, 19, 1, 1], [0, 7, 4, 57, 63, 91, 63, 51, 13, 2, 1], [0, 7, 4, 58, 57, 106, 43, 66, 7, 3, 1], [0, 7, 5, 48, 95, 32, 123, 20, 17, 5, 0], [0, 7, 5, 49, 89, 47, 103, 35, 11, 6, 0], [0, 7, 5, 50, 83, 62, 83, 50, 5, 7, 0], [0, 7, 5, 50, 84, 56, 98, 30, 20, 1, 1], [0, 7, 5, 51, 78, 71, 78, 45, 14, 2, 1], [0, 7, 5, 52, 72, 86, 58, 60, 8, 3, 1], [0, 7, 5, 53, 66, 101, 38, 75, 2, 4, 1], [0, 7, 6, 43, 104, 27, 118, 29, 12, 6, 0], [0, 7, 6, 44, 98, 42, 98, 44, 6, 7, 0], [0, 7, 6, 44, 99, 36, 113, 24, 21, 1, 1], [0, 7, 6, 45, 92, 57, 78, 59, 0, 8, 0], [0, 7, 6, 45, 93, 51, 93, 39, 15, 2, 1], [0, 7, 6, 46, 87, 66, 73, 54, 9, 3, 1], [0, 7, 6, 47, 81, 81, 53, 69, 3, 4, 1], [0, 7, 6, 49, 70, 105, 28, 79, 6, 0, 2], [0, 7, 7, 38, 113, 22, 113, 38, 7, 7, 0], [0, 7, 7, 39, 107, 37, 93, 53, 1, 8, 0], [0, 7, 7, 39, 108, 31, 108, 33, 16, 2, 1], [0, 7, 7, 40, 102, 46, 88, 48, 10, 3, 1], [0, 7, 7, 41, 96, 61, 68, 63, 4, 4, 1], [0, 7, 7, 43, 85, 85, 43, 73, 7, 0, 2], [0, 7, 8, 34, 117, 26, 103, 42, 11, 3, 1], [0, 7, 8, 35, 111, 41, 83, 57, 5, 4, 1], [0, 7, 8, 37, 100, 65, 58, 67, 8, 0, 2], [0, 7, 8, 38, 94, 80, 38, 82, 2, 1, 2], [0, 7, 9, 29, 126, 21, 98, 51, 6, 4, 1], [0, 7, 9, 31, 115, 45, 73, 61, 9, 0, 2], [0, 7, 9, 32, 109, 60, 53, 76, 3, 1, 2], [0, 7, 10, 25, 130, 25, 88, 55, 10, 0, 2], [0, 7, 10, 26, 124, 40, 68, 70, 4, 1, 2], [0, 8, 0, 58, 84, 42, 112, 30, 12, 6, 0], [0, 8, 0, 59, 78, 57, 92, 45, 6, 7, 0], [0, 8, 0, 60, 72, 72, 72, 60, 0, 8, 0], [0, 8, 0, 60, 73, 66, 87, 40, 15, 2, 1], [0, 8, 0, 61, 67, 81, 67, 55, 9, 3, 1], [0, 8, 1, 53, 93, 37, 107, 39, 7, 7, 0], [0, 8, 1, 54, 87, 52, 87, 54, 1, 8, 0], [0, 8, 1, 54, 88, 46, 102, 34, 16, 2, 1], [0, 8, 1, 55, 82, 61, 82, 49, 10, 3, 1], [0, 8, 1, 56, 76, 76, 62, 64, 4, 4, 1], [0, 8, 1, 58, 65, 100, 37, 74, 7, 0, 2], [0, 8, 2, 48, 102, 32, 102, 48, 2, 8, 0], [0, 8, 2, 48, 103, 26, 117, 28, 17, 2, 1], [0, 8, 2, 49, 97, 41, 97, 43, 11, 3, 1], [0, 8, 2, 50, 91, 56, 77, 58, 5, 4, 1], [0, 8, 2, 52, 80, 80, 52, 68, 8, 0, 2], [0, 8, 3, 44, 106, 36, 92, 52, 6, 4, 1], [0, 8, 3, 46, 95, 60, 67, 62, 9, 0, 2], [0, 8, 3, 47, 89, 75, 47, 77, 3, 1, 2], [0, 8, 4, 40, 110, 40, 82, 56, 10, 0, 2], [0, 8, 4, 41, 104, 55, 62, 71, 4, 1, 2], [0, 8, 5, 34, 125, 20, 97, 50, 11, 0, 2], [0, 8, 5, 35, 119, 35, 77, 65, 5, 1, 2], [1, 0, 17, 64, 13, 146, 55, 28, 26, 2, 0], [1, 0, 18, 58, 28, 126, 70, 22, 27, 2, 0], [1, 0, 18, 59, 22, 141, 50, 37, 21, 3, 0], [1, 0, 18, 60, 16, 156, 30, 52, 15, 4, 0], [1, 0, 19, 52, 43, 106, 85, 16, 28, 2, 0], [1, 0, 19, 53, 37, 121, 65, 31, 22, 3, 0], [1, 0, 19, 54, 31, 136, 45, 46, 16, 4, 0], [1, 0, 20, 46, 58, 86, 100, 10, 29, 2, 0], [1, 0, 20, 47, 52, 101, 80, 25, 23, 3, 0], [1, 0, 20, 48, 46, 116, 60, 40, 17, 4, 0], [1, 0, 20, 49, 40, 131, 40, 55, 11, 5, 0], [1, 0, 20, 50, 35, 140, 35, 50, 20, 0, 1], [1, 0, 21, 40, 73, 66, 115, 4, 30, 2, 0], [1, 0, 21, 41, 67, 81, 95, 19, 24, 3, 0], [1, 0, 21, 42, 61, 96, 75, 34, 18, 4, 0], [1, 0, 21, 43, 55, 111, 55, 49, 12, 5, 0], [1, 0, 21, 44, 49, 126, 35, 64, 6, 6, 0], [1, 0, 21, 44, 50, 120, 50, 44, 21, 0, 1], [1, 0, 21, 45, 44, 135, 30, 59, 15, 1, 1], [1, 0, 22, 35, 82, 61, 110, 13, 25, 3, 0], [1, 0, 22, 36, 76, 76, 90, 28, 19, 4, 0], [1, 0, 22, 37, 70, 91, 70, 43, 13, 5, 0], [1, 0, 22, 38, 64, 106, 50, 58, 7, 6, 0], [1, 0, 22, 38, 65, 100, 65, 38, 22, 0, 1], [1, 0, 22, 39, 59, 115, 45, 53, 16, 1, 1], [1, 0, 22, 40, 53, 130, 25, 68, 10, 2, 1], [1, 0, 23, 30, 91, 56, 105, 22, 20, 4, 0], [1, 0, 23, 31, 85, 71, 85, 37, 14, 5, 0], [1, 0, 23, 32, 79, 86, 65, 52, 8, 6, 0], [1, 0, 23, 32, 80, 80, 80, 32, 23, 0, 1], [1, 0, 23, 33, 73, 101, 45, 67, 2, 7, 0], [1, 0, 23, 33, 74, 95, 60, 47, 17, 1, 1], [1, 0, 23, 34, 68, 110, 40, 62, 11, 2, 1], [1, 0, 24, 24, 106, 36, 120, 16, 21, 4, 0], [1, 0, 24, 25, 100, 51, 100, 31, 15, 5, 0], [1, 0, 24, 26, 94, 66, 80, 46, 9, 6, 0], [1, 0, 24, 26, 95, 60, 95, 26, 24, 0, 1], [1, 0, 24, 27, 88, 81, 60, 61, 3, 7, 0], [1, 0, 24, 27, 89, 75, 75, 41, 18, 1, 1], [1, 0, 24, 28, 83, 90, 55, 56, 12, 2, 1], [1, 0, 24, 29, 77, 105, 35, 71, 6, 3, 1], [1, 0, 25, 20, 109, 46, 95, 40, 10, 6, 0], [1, 0, 25, 20, 110, 40, 110, 20, 25, 0, 1], [1, 0, 25, 21, 103, 61, 75, 55, 4, 7, 0], [1, 0, 25, 21, 104, 55, 90, 35, 19, 1, 1], [1, 0, 25, 22, 98, 70, 70, 50, 13, 2, 1], [1, 0, 25, 23, 92, 85, 50, 65, 7, 3, 1], [1, 0, 26, 16, 113, 50, 85, 44, 14, 2, 1], [1, 0, 26, 17, 107, 65, 65, 59, 8, 3, 1], [1, 0, 27, 12, 116, 60, 60, 68, 3, 4, 1], [1, 1, 13, 67, 23, 121, 79, 17, 28, 2, 0], [1, 1, 13, 68, 17, 136, 59, 32, 22, 3, 0], [1, 1, 14, 61, 38, 101, 94, 11, 29, 2, 0], [1, 1, 14, 62, 32, 116, 74, 26, 23, 3, 0], [1, 1, 14, 63, 26, 131, 54, 41, 17, 4, 0], [1, 1, 14, 64, 20, 146, 34, 56, 11, 5, 0], [1, 1, 15, 55, 53, 81, 109, 5, 30, 2, 0], [1, 1, 15, 56, 47, 96, 89, 20, 24, 3, 0], [1, 1, 15, 57, 41, 111, 69, 35, 18, 4, 0], [1, 1, 15, 58, 35, 126, 49, 50, 12, 5, 0], [1, 1, 15, 59, 30, 135, 44, 45, 21, 0, 1], [1, 1, 15, 60, 24, 150, 24, 60, 15, 1, 1], [1, 1, 16, 50, 62, 76, 104, 14, 25, 3, 0], [1, 1, 16, 51, 56, 91, 84, 29, 19, 4, 0], [1, 1, 16, 52, 50, 106, 64, 44, 13, 5, 0], [1, 1, 16, 53, 44, 121, 44, 59, 7, 6, 0], [1, 1, 16, 53, 45, 115, 59, 39, 22, 0, 1], [1, 1, 16, 54, 39, 130, 39, 54, 16, 1, 1], [1, 1, 17, 44, 77, 56, 119, 8, 26, 3, 0], [1, 1, 17, 45, 71, 71, 99, 23, 20, 4, 0], [1, 1, 17, 46, 65, 86, 79, 38, 14, 5, 0], [1, 1, 17, 47, 59, 101, 59, 53, 8, 6, 0], [1, 1, 17, 47, 60, 95, 74, 33, 23, 0, 1], [1, 1, 17, 48, 53, 116, 39, 68, 2, 7, 0], [1, 1, 17, 48, 54, 110, 54, 48, 17, 1, 1], [1, 1, 17, 49, 48, 125, 34, 63, 11, 2, 1], [1, 1, 18, 39, 86, 51, 114, 17, 21, 4, 0], [1, 1, 18, 40, 80, 66, 94, 32, 15, 5, 0], [1, 1, 18, 41, 74, 81, 74, 47, 9, 6, 0], [1, 1, 18, 41, 75, 75, 89, 27, 24, 0, 1], [1, 1, 18, 42, 68, 96, 54, 62, 3, 7, 0], [1, 1, 18, 42, 69, 90, 69, 42, 18, 1, 1], [1, 1, 18, 43, 63, 105, 49, 57, 12, 2, 1], [1, 1, 18, 44, 57, 120, 29, 72, 6, 3, 1], [1, 1, 19, 34, 95, 46, 109, 26, 16, 5, 0], [1, 1, 19, 35, 89, 61, 89, 41, 10, 6, 0], [1, 1, 19, 35, 90, 55, 104, 21, 25, 0, 1], [1, 1, 19, 36, 83, 76, 69, 56, 4, 7, 0], [1, 1, 19, 36, 84, 70, 84, 36, 19, 1, 1], [1, 1, 19, 37, 78, 85, 64, 51, 13, 2, 1], [1, 1, 19, 38, 72, 100, 44, 66, 7, 3, 1], [1, 1, 20, 28, 110, 26, 124, 20, 17, 5, 0], [1, 1, 20, 29, 104, 41, 104, 35, 11, 6, 0], [1, 1, 20, 30, 98, 56, 84, 50, 5, 7, 0], [1, 1, 20, 30, 99, 50, 99, 30, 20, 1, 1], [1, 1, 20, 31, 93, 65, 79, 45, 14, 2, 1], [1, 1, 20, 32, 87, 80, 59, 60, 8, 3, 1], [1, 1, 20, 33, 81, 95, 39, 75, 2, 4, 1], [1, 1, 21, 24, 113, 36, 99, 44, 6, 7, 0], [1, 1, 21, 24, 114, 30, 114, 24, 21, 1, 1], [1, 1, 21, 25, 108, 45, 94, 39, 15, 2, 1], [1, 1, 21, 26, 102, 60, 74, 54, 9, 3, 1], [1, 1, 21, 27, 96, 75, 54, 69, 3, 4, 1], [1, 1, 21, 29, 85, 99, 29, 79, 6, 0, 2], [1, 1, 22, 20, 117, 40, 89, 48, 10, 3, 1], [1, 1, 22, 21, 111, 55, 69, 63, 4, 4, 1], [1, 1, 22, 23, 100, 79, 44, 73, 7, 0, 2], [1, 1, 23, 17, 115, 59, 59, 67, 8, 0, 2], [1, 1, 24, 11, 130, 39, 74, 61, 9, 0, 2], [1, 1, 24, 12, 124, 54, 54, 76, 3, 1, 2], [1, 2, 9, 71, 27, 111, 83, 21, 24, 3, 0], [1, 2, 9, 72, 21, 126, 63, 36, 18, 4, 0], [1, 2, 10, 65, 42, 91, 98, 15, 25, 3, 0], [1, 2, 10, 66, 36, 106, 78, 30, 19, 4, 0], [1, 2, 10, 67, 30, 121, 58, 45, 13, 5, 0], [1, 2, 10, 68, 24, 136, 38, 60, 7, 6, 0], [1, 2, 10, 68, 25, 130, 53, 40, 22, 0, 1], [1, 2, 11, 59, 57, 71, 113, 9, 26, 3, 0], [1, 2, 11, 60, 51, 86, 93, 24, 20, 4, 0], [1, 2, 11, 61, 45, 101, 73, 39, 14, 5, 0], [1, 2, 11, 62, 39, 116, 53, 54, 8, 6, 0], [1, 2, 11, 62, 40, 110, 68, 34, 23, 0, 1], [1, 2, 11, 63, 34, 125, 48, 49, 17, 1, 1], [1, 2, 11, 64, 28, 140, 28, 64, 11, 2, 1], [1, 2, 12, 54, 66, 66, 108, 18, 21, 4, 0], [1, 2, 12, 55, 60, 81, 88, 33, 15, 5, 0], [1, 2, 12, 56, 54, 96, 68, 48, 9, 6, 0], [1, 2, 12, 56, 55, 90, 83, 28, 24, 0, 1], [1, 2, 12, 57, 48, 111, 48, 63, 3, 7, 0], [1, 2, 12, 57, 49, 105, 63, 43, 18, 1, 1], [1, 2, 12, 58, 43, 120, 43, 58, 12, 2, 1], [1, 2, 13, 48, 81, 46, 123, 12, 22, 4, 0], [1, 2, 13, 49, 75, 61, 103, 27, 16, 5, 0], [1, 2, 13, 50, 69, 76, 83, 42, 10, 6, 0], [1, 2, 13, 50, 70, 70, 98, 22, 25, 0, 1], [1, 2, 13, 51, 63, 91, 63, 57, 4, 7, 0], [1, 2, 13, 51, 64, 85, 78, 37, 19, 1, 1], [1, 2, 13, 52, 58, 100, 58, 52, 13, 2, 1], [1, 2, 13, 53, 52, 115, 38, 67, 7, 3, 1], [1, 2, 14, 43, 90, 41, 118, 21, 17, 5, 0], [1, 2, 14, 44, 84, 56, 98, 36, 11, 6, 0], [1, 2, 14, 44, 85, 50, 113, 16, 26, 0, 1], [1, 2, 14, 45, 78, 71, 78, 51, 5, 7, 0], [1, 2, 14, 45, 79, 65, 93, 31, 20, 1, 1], [1, 2, 14, 46, 73, 80, 73, 46, 14, 2, 1], [1, 2, 14, 47, 67, 95, 53, 61, 8, 3, 1], [1, 2, 14, 48, 61, 110, 33, 76, 2, 4, 1], [1, 2, 15, 38, 99, 36, 113, 30, 12, 6, 0], [1, 2, 15, 39, 93, 51, 93, 45, 6, 7, 0], [1, 2, 15, 39, 94, 45, 108, 25, 21, 1, 1], [1, 2, 15, 40, 87, 66, 73, 60, 0, 8, 0], [1, 2, 15, 40, 88, 60, 88, 40, 15, 2, 1], [1, 2, 15, 41, 82, 75, 68, 55, 9, 3, 1], [1, 2, 15, 42, 76, 90, 48, 70, 3, 4, 1], [1, 2, 15, 44, 65, 114, 23, 80, 6, 0, 2], [1, 2, 16, 32, 114, 16, 128, 24, 13, 6, 0], [1, 2, 16, 33, 108, 31, 108, 39, 7, 7, 0], [1, 2, 16, 34, 102, 46, 88, 54, 1, 8, 0], [1, 2, 16, 34, 103, 40, 103, 34, 16, 2, 1], [1, 2, 16, 35, 97, 55, 83, 49, 10, 3, 1], [1, 2, 16, 36, 91, 70, 63, 64, 4, 4, 1], [1, 2, 16, 38, 80, 94, 38, 74, 7, 0, 2], [1, 2, 17, 28, 117, 26, 103, 48, 2, 8, 0], [1, 2, 17, 28, 118, 20, 118, 28, 17, 2, 1], [1, 2, 17, 29, 112, 35, 98, 43, 11, 3, 1], [1, 2, 17, 30, 106, 50, 78, 58, 5, 4, 1], [1, 2, 17, 32, 95, 74, 53, 68, 8, 0, 2], [1, 2, 17, 33, 89, 89, 33, 83, 2, 1, 2], [1, 2, 18, 24, 121, 30, 93, 52, 6, 4, 1], [1, 2, 18, 26, 110, 54, 68, 62, 9, 0, 2], [1, 2, 18, 27, 104, 69, 48, 77, 3, 1, 2], [1, 2, 19, 20, 125, 34, 83, 56, 10, 0, 2], [1, 2, 19, 21, 119, 49, 63, 71, 4, 1, 2], [1, 3, 5, 75, 31, 101, 87, 25, 20, 4, 0], [1, 3, 5, 76, 25, 116, 67, 40, 14, 5, 0], [1, 3, 6, 69, 46, 81, 102, 19, 21, 4, 0], [1, 3, 6, 70, 40, 96, 82, 34, 15, 5, 0], [1, 3, 6, 71, 34, 111, 62, 49, 9, 6, 0], [1, 3, 6, 71, 35, 105, 77, 29, 24, 0, 1], [1, 3, 6, 72, 29, 120, 57, 44, 18, 1, 1], [1, 3, 7, 63, 61, 61, 117, 13, 22, 4, 0], [1, 3, 7, 64, 55, 76, 97, 28, 16, 5, 0], [1, 3, 7, 65, 49, 91, 77, 43, 10, 6, 0], [1, 3, 7, 65, 50, 85, 92, 23, 25, 0, 1], [1, 3, 7, 66, 43, 106, 57, 58, 4, 7, 0], [1, 3, 7, 66, 44, 100, 72, 38, 19, 1, 1], [1, 3, 7, 67, 38, 115, 52, 53, 13, 2, 1], [1, 3, 7, 68, 32, 130, 32, 68, 7, 3, 1], [1, 3, 8, 58, 70, 56, 112, 22, 17, 5, 0], [1, 3, 8, 59, 64, 71, 92, 37, 11, 6, 0], [1, 3, 8, 59, 65, 65, 107, 17, 26, 0, 1], [1, 3, 8, 60, 58, 86, 72, 52, 5, 7, 0], [1, 3, 8, 60, 59, 80, 87, 32, 20, 1, 1], [1, 3, 8, 61, 53, 95, 67, 47, 14, 2, 1], [1, 3, 8, 62, 47, 110, 47, 62, 8, 3, 1], [1, 3, 9, 52, 85, 36, 127, 16, 18, 5, 0], [1, 3, 9, 53, 79, 51, 107, 31, 12, 6, 0], [1, 3, 9, 54, 73, 66, 87, 46, 6, 7, 0], [1, 3, 9, 54, 74, 60, 102, 26, 21, 1, 1], [1, 3, 9, 55, 67, 81, 67, 61, 0, 8, 0], [1, 3, 9, 55, 68, 75, 82, 41, 15, 2, 1], [1, 3, 9, 56, 62, 90, 62, 56, 9, 3, 1], [1, 3, 9, 57, 56, 105, 42, 71, 3, 4, 1], [1, 3, 10, 47, 94, 31, 122, 25, 13, 6, 0], [1, 3, 10, 48, 88, 46, 102, 40, 7, 7, 0], [1, 3, 10, 48, 89, 40, 117, 20, 22, 1, 1], [1, 3, 10, 49, 82, 61, 82, 55, 1, 8, 0], [1, 3, 10, 49, 83, 55, 97, 35, 16, 2, 1], [1, 3, 10, 50, 77, 70, 77, 50, 10, 3, 1], [1, 3, 10, 51, 71, 85, 57, 65, 4, 4, 1], [1, 3, 10, 53, 60, 109, 32, 75, 7, 0, 2], [1, 3, 11, 42, 103, 26, 117, 34, 8, 7, 0], [1, 3, 11, 43, 97, 41, 97, 49, 2, 8, 0], [1, 3, 11, 43, 98, 35, 112, 29, 17, 2, 1], [1, 3, 11, 44, 92, 50, 92, 44, 11, 3, 1], [1, 3, 11, 45, 86, 65, 72, 59, 5, 4, 1], [1, 3, 11, 47, 75, 89, 47, 69, 8, 0, 2], [1, 3, 12, 38, 107, 30, 107, 38, 12, 3, 1], [1, 3, 12, 39, 101, 45, 87, 53, 6, 4, 1], [1, 3, 12, 40, 95, 60, 67, 68, 0, 5, 1], [1, 3, 12, 41, 90, 69, 62, 63, 9, 0, 2], [1, 3, 12, 42, 84, 84, 42, 78, 3, 1, 2], [1, 3, 13, 32, 122, 10, 122, 32, 13, 3, 1], [1, 3, 13, 33, 116, 25, 102, 47, 7, 4, 1], [1, 3, 13, 35, 105, 49, 77, 57, 10, 0, 2], [1, 3, 13, 36, 99, 64, 57, 72, 4, 1, 2], [1, 3, 14, 29, 120, 29, 92, 51, 11, 0, 2], [1, 3, 14, 30, 114, 44, 72, 66, 5, 1, 2], [1, 3, 15, 24, 129, 24, 87, 60, 6, 1, 2], [1, 4, 1, 80, 29, 106, 71, 44, 10, 6, 0], [1, 4, 2, 73, 50, 71, 106, 23, 17, 5, 0], [1, 4, 2, 74, 44, 86, 86, 38, 11, 6, 0], [1, 4, 2, 75, 38, 101, 66, 53, 5, 7, 0], [1, 4, 2, 75, 39, 95, 81, 33, 20, 1, 1], [1, 4, 2, 76, 33, 110, 61, 48, 14, 2, 1], [1, 4, 3, 67, 65, 51, 121, 17, 18, 5, 0], [1, 4, 3, 68, 59, 66, 101, 32, 12, 6, 0], [1, 4, 3, 68, 60, 60, 116, 12, 27, 0, 1], [1, 4, 3, 69, 53, 81, 81, 47, 6, 7, 0], [1, 4, 3, 69, 54, 75, 96, 27, 21, 1, 1], [1, 4, 3, 70, 48, 90, 76, 42, 15, 2, 1], [1, 4, 3, 71, 42, 105, 56, 57, 9, 3, 1], [1, 4, 3, 72, 36, 120, 36, 72, 3, 4, 1], [1, 4, 4, 62, 74, 46, 116, 26, 13, 6, 0], [1, 4, 4, 63, 68, 61, 96, 41, 7, 7, 0], [1, 4, 4, 63, 69, 55, 111, 21, 22, 1, 1], [1, 4, 4, 64, 62, 76, 76, 56, 1, 8, 0], [1, 4, 4, 64, 63, 70, 91, 36, 16, 2, 1], [1, 4, 4, 65, 57, 85, 71, 51, 10, 3, 1], [1, 4, 4, 66, 51, 100, 51, 66, 4, 4, 1], [1, 4, 4, 68, 40, 124, 26, 76, 7, 0, 2], [1, 4, 5, 56, 89, 26, 131, 20, 14, 6, 0], [1, 4, 5, 57, 83, 41, 111, 35, 8, 7, 0], [1, 4, 5, 58, 77, 56, 91, 50, 2, 8, 0], [1, 4, 5, 58, 78, 50, 106, 30, 17, 2, 1], [1, 4, 5, 59, 72, 65, 86, 45, 11, 3, 1], [1, 4, 5, 60, 66, 80, 66, 60, 5, 4, 1], [1, 4, 5, 62, 55, 104, 41, 70, 8, 0, 2], [1, 4, 6, 51, 98, 21, 126, 29, 9, 7, 0], [1, 4, 6, 52, 92, 36, 106, 44, 3, 8, 0], [1, 4, 6, 52, 93, 30, 121, 24, 18, 2, 1], [1, 4, 6, 53, 87, 45, 101, 39, 12, 3, 1], [1, 4, 6, 54, 81, 60, 81, 54, 6, 4, 1], [1, 4, 6, 55, 75, 75, 61, 69, 0, 5, 1], [1, 4, 6, 56, 70, 84, 56, 64, 9, 0, 2], [1, 4, 6, 57, 64, 99, 36, 79, 3, 1, 2], [1, 4, 7, 47, 102, 25, 116, 33, 13, 3, 1], [1, 4, 7, 48, 96, 40, 96, 48, 7, 4, 1], [1, 4, 7, 49, 90, 55, 76, 63, 1, 5, 1], [1, 4, 7, 50, 85, 64, 71, 58, 10, 0, 2], [1, 4, 7, 51, 79, 79, 51, 73, 4, 1, 2], [1, 4, 8, 42, 111, 20, 111, 42, 8, 4, 1], [1, 4, 8, 43, 105, 35, 91, 57, 2, 5, 1], [1, 4, 8, 44, 100, 44, 86, 52, 11, 0, 2], [1, 4, 8, 45, 94, 59, 66, 67, 5, 1, 2], [1, 4, 9, 38, 115, 24, 101, 46, 12, 0, 2], [1, 4, 9, 39, 109, 39, 81, 61, 6, 1, 2], [1, 5, 0, 68, 67, 60, 95, 40, 12, 3, 1], [1, 5, 0, 69, 61, 75, 75, 55, 6, 4, 1], [1, 5, 0, 70, 55, 90, 55, 70, 0, 5, 1], [1, 5, 0, 71, 50, 99, 50, 65, 9, 0, 2], [1, 5, 1, 63, 76, 55, 90, 49, 7, 4, 1], [1, 5, 1, 64, 70, 70, 70, 64, 1, 5, 1], [1, 5, 1, 65, 65, 79, 65, 59, 10, 0, 2], [1, 5, 1, 66, 59, 94, 45, 74, 4, 1, 2], [1, 5, 2, 57, 91, 35, 105, 43, 8, 4, 1], [1, 5, 2, 58, 85, 50, 85, 58, 2, 5, 1], [1, 5, 2, 59, 80, 59, 80, 53, 11, 0, 2], [1, 5, 2, 60, 74, 74, 60, 68, 5, 1, 2], [1, 5, 3, 52, 100, 30, 100, 52, 3, 5, 1], [1, 5, 3, 53, 95, 39, 95, 47, 12, 0, 2], [1, 5, 3, 54, 89, 54, 75, 62, 6, 1, 2], [1, 5, 4, 46, 115, 10, 115, 46, 4, 5, 1], [1, 5, 4, 47, 110, 19, 110, 41, 13, 0, 2], [1, 5, 4, 48, 104, 34, 90, 56, 7, 1, 2], [2, 0, 5, 82, 31, 80, 115, 10, 23, 4, 0], [2, 0, 5, 83, 25, 95, 95, 25, 17, 5, 0], [2, 0, 5, 84, 19, 110, 75, 40, 11, 6, 0], [2, 0, 6, 77, 40, 75, 110, 19, 18, 5, 0], [2, 0, 6, 78, 34, 90, 90, 34, 12, 6, 0], [2, 0, 6, 79, 28, 105, 70, 49, 6, 7, 0], [2, 0, 6, 79, 29, 99, 85, 29, 21, 1, 1], [2, 0, 6, 80, 23, 114, 65, 44, 15, 2, 1], [2, 0, 7, 71, 55, 55, 125, 13, 19, 5, 0], [2, 0, 7, 72, 49, 70, 105, 28, 13, 6, 0], [2, 0, 7, 73, 43, 85, 85, 43, 7, 7, 0], [2, 0, 7, 73, 44, 79, 100, 23, 22, 1, 1], [2, 0, 7, 74, 37, 100, 65, 58, 1, 8, 0], [2, 0, 7, 74, 38, 94, 80, 38, 16, 2, 1], [2, 0, 7, 75, 32, 109, 60, 53, 10, 3, 1], [2, 0, 7, 76, 26, 124, 40, 68, 4, 4, 1], [2, 0, 8, 66, 64, 50, 120, 22, 14, 6, 0], [2, 0, 8, 67, 58, 65, 100, 37, 8, 7, 0], [2, 0, 8, 67, 59, 59, 115, 17, 23, 1, 1], [2, 0, 8, 68, 52, 80, 80, 52, 2, 8, 0], [2, 0, 8, 68, 53, 74, 95, 32, 17, 2, 1], [2, 0, 8, 69, 47, 89, 75, 47, 11, 3, 1], [2, 0, 8, 70, 41, 104, 55, 62, 5, 4, 1], [2, 0, 8, 72, 30, 128, 30, 72, 8, 0, 2], [2, 0, 9, 60, 79, 30, 135, 16, 15, 6, 0], [2, 0, 9, 61, 73, 45, 115, 31, 9, 7, 0], [2, 0, 9, 61, 74, 39, 130, 11, 24, 1, 1], [2, 0, 9, 62, 67, 60, 95, 46, 3, 8, 0], [2, 0, 9, 62, 68, 54, 110, 26, 18, 2, 1], [2, 0, 9, 63, 62, 69, 90, 41, 12, 3, 1], [2, 0, 9, 64, 56, 84, 70, 56, 6, 4, 1], [2, 0, 9, 65, 50, 99, 50, 71, 0, 5, 1], [2, 0, 9, 66, 45, 108, 45, 66, 9, 0, 2], [2, 0, 10, 55, 88, 25, 130, 25, 10, 7, 0], [2, 0, 10, 56, 82, 40, 110, 40, 4, 8, 0], [2, 0, 10, 56, 83, 34, 125, 20, 19, 2, 1], [2, 0, 10, 57, 77, 49, 105, 35, 13, 3, 1], [2, 0, 10, 58, 71, 64, 85, 50, 7, 4, 1], [2, 0, 10, 59, 65, 79, 65, 65, 1, 5, 1], [2, 0, 10, 60, 60, 88, 60, 60, 10, 0, 2], [2, 0, 10, 61, 54, 103, 40, 75, 4, 1, 2], [2, 0, 11, 50, 97, 20, 125, 34, 5, 8, 0], [2, 0, 11, 51, 92, 29, 120, 29, 14, 3, 1], [2, 0, 11, 52, 86, 44, 100, 44, 8, 4, 1], [2, 0, 11, 53, 80, 59, 80, 59, 2, 5, 1], [2, 0, 11, 54, 75, 68, 75, 54, 11, 0, 2], [2, 0, 11, 55, 69, 83, 55, 69, 5, 1, 2], [2, 0, 12, 46, 101, 24, 115, 38, 9, 4, 1], [2, 0, 12, 47, 95, 39, 95, 53, 3, 5, 1], [2, 0, 12, 48, 90, 48, 90, 48, 12, 0, 2], [2, 0, 12, 49, 84, 63, 70, 63, 6, 1, 2], [2, 0, 12, 50, 78, 78, 50, 78, 0, 2, 2], [2, 0, 13, 41, 110, 19, 110, 47, 4, 5, 1], [2, 0, 13, 42, 105, 28, 105, 42, 13, 0, 2], [2, 0, 13, 43, 99, 43, 85, 57, 7, 1, 2], [2, 0, 13, 44, 93, 58, 65, 72, 1, 2, 2], [2, 0, 14, 36, 120, 8, 120, 36, 14, 0, 2], [2, 0, 14, 37, 114, 23, 100, 51, 8, 1, 2], [2, 0, 14, 38, 108, 38, 80, 66, 2, 2, 2], [2, 1, 2, 81, 44, 65, 114, 23, 14, 6, 0], [2, 1, 2, 82, 38, 80, 94, 38, 8, 7, 0], [2, 1, 2, 83, 33, 89, 89, 33, 17, 2, 1], [2, 1, 3, 75, 59, 45, 129, 17, 15, 6, 0], [2, 1, 3, 76, 53, 60, 109, 32, 9, 7, 0], [2, 1, 3, 76, 54, 54, 124, 12, 24, 1, 1], [2, 1, 3, 77, 47, 75, 89, 47, 3, 8, 0], [2, 1, 3, 77, 48, 69, 104, 27, 18, 2, 1], [2, 1, 3, 78, 42, 84, 84, 42, 12, 3, 1], [2, 1, 3, 79, 36, 99, 64, 57, 6, 4, 1], [2, 1, 4, 70, 68, 40, 124, 26, 10, 7, 0], [2, 1, 4, 71, 62, 55, 104, 41, 4, 8, 0], [2, 1, 4, 71, 63, 49, 119, 21, 19, 2, 1], [2, 1, 4, 72, 57, 64, 99, 36, 13, 3, 1], [2, 1, 4, 73, 51, 79, 79, 51, 7, 4, 1], [2, 1, 4, 74, 45, 94, 59, 66, 1, 5, 1], [2, 1, 4, 75, 40, 103, 54, 61, 10, 0, 2], [2, 1, 4, 76, 34, 118, 34, 76, 4, 1, 2], [2, 1, 5, 65, 77, 35, 119, 35, 5, 8, 0], [2, 1, 5, 66, 72, 44, 114, 30, 14, 3, 1], [2, 1, 5, 67, 66, 59, 94, 45, 8, 4, 1], [2, 1, 5, 68, 60, 74, 74, 60, 2, 5, 1], [2, 1, 5, 69, 55, 83, 69, 55, 11, 0, 2], [2, 1, 5, 70, 49, 98, 49, 70, 5, 1, 2], [2, 1, 6, 60, 87, 24, 129, 24, 15, 3, 1], [2, 1, 6, 61, 81, 39, 109, 39, 9, 4, 1], [2, 1, 6, 62, 75, 54, 89, 54, 3, 5, 1], [2, 1, 6, 63, 70, 63, 84, 49, 12, 0, 2], [2, 1, 6, 64, 64, 78, 64, 64, 6, 1, 2], [2, 1, 6, 65, 58, 93, 44, 79, 0, 2, 2], [2, 1, 7, 56, 90, 34, 104, 48, 4, 5, 1], [2, 1, 7, 57, 85, 43, 99, 43, 13, 0, 2], [2, 1, 7, 58, 79, 58, 79, 58, 7, 1, 2], [2, 1, 7, 59, 73, 73, 59, 73, 1, 2, 2], [2, 1, 8, 51, 100, 23, 114, 37, 14, 0, 2], [2, 1, 8, 52, 94, 38, 94, 52, 8, 1, 2], [2, 1, 8, 53, 88, 53, 74, 67, 2, 2, 2], [2, 1, 9, 46, 109, 18, 109, 46, 9, 1, 2], [2, 1, 9, 47, 103, 33, 89, 61, 3, 2, 2], [2, 2, 0, 78, 50, 78, 78, 50, 12, 0, 2], [2, 2, 0, 79, 44, 93, 58, 65, 6, 1, 2], [2, 2, 0, 80, 38, 108, 38, 80, 0, 2, 2], [2, 2, 1, 72, 65, 58, 93, 44, 13, 0, 2], [2, 2, 1, 73, 59, 73, 73, 59, 7, 1, 2], [2, 2, 1, 74, 53, 88, 53, 74, 1, 2, 2], [2, 2, 2, 66, 80, 38, 108, 38, 14, 0, 2], [2, 2, 2, 67, 74, 53, 88, 53, 8, 1, 2], [2, 2, 2, 68, 68, 68, 68, 68, 2, 2, 2], [2, 2, 3, 61, 89, 33, 103, 47, 9, 1, 2], [2, 2, 3, 62, 83, 48, 83, 62, 3, 2, 2], [2, 2, 4, 56, 98, 28, 98, 56, 4, 2, 2], [3, 0, 0, 70, 85, 36, 85, 70, 0, 0, 3]}