-------
(9, 176, 4) ALL distance distributions for INTERNAL point
(4, 176, 4) has 1 possible DDs: {[11, 44, 66, 44, 11]}
(5, 176, 4) has 11 possible DDs: {[1, 50, 10, 100, 5, 10], [2, 45, 20, 90, 10, 9], [3, 40, 30, 80, 15, 8], [4, 35, 40, 70, 20, 7], [5, 30, 50, 60, 25, 6], [6, 25, 60, 50, 30, 5], [7, 20, 70, 40, 35, 4], [8, 15, 80, 30, 40, 3], [9, 10, 90, 20, 45, 2], [10, 5, 100, 10, 50, 1], [11, 0, 110, 0, 55, 0]}
(6, 176, 4) has 37 possible DDs: {[1, 22, 40, 40, 65, 2, 6], [1, 23, 35, 50, 55, 7, 5], [1, 24, 30, 60, 45, 12, 4], [1, 25, 25, 70, 35, 17, 3], [1, 26, 20, 80, 25, 22, 2], [1, 27, 15, 90, 15, 27, 1], [1, 28, 10, 100, 5, 32, 0], [2, 17, 50, 30, 70, 1, 6], [2, 18, 45, 40, 60, 6, 5], [2, 19, 40, 50, 50, 11, 4], [2, 20, 35, 60, 40, 16, 3], [2, 21, 30, 70, 30, 21, 2], [2, 22, 25, 80, 20, 26, 1], [2, 23, 20, 90, 10, 31, 0], [3, 12, 60, 20, 75, 0, 6], [3, 13, 55, 30, 65, 5, 5], [3, 14, 50, 40, 55, 10, 4], [3, 15, 45, 50, 45, 15, 3], [3, 16, 40, 60, 35, 20, 2], [3, 17, 35, 70, 25, 25, 1], [3, 18, 30, 80, 15, 30, 0], [4, 8, 65, 20, 70, 4, 5], [4, 9, 60, 30, 60, 9, 4], [4, 10, 55, 40, 50, 14, 3], [4, 11, 50, 50, 40, 19, 2], [4, 12, 45, 60, 30, 24, 1], [4, 13, 40, 70, 20, 29, 0], [5, 3, 75, 10, 75, 3, 5], [5, 4, 70, 20, 65, 8, 4], [5, 5, 65, 30, 55, 13, 3], [5, 6, 60, 40, 45, 18, 2], [5, 7, 55, 50, 35, 23, 1], [5, 8, 50, 60, 25, 28, 0], [6, 0, 75, 20, 60, 12, 3], [6, 1, 70, 30, 50, 17, 2], [6, 2, 65, 40, 40, 22, 1], [6, 3, 60, 50, 30, 27, 0]}
(7, 176, 4) has 120 possible DDs: {[1, 5, 55, 0, 85, 23, 3, 4], [1, 6, 50, 10, 75, 28, 2, 4], [1, 6, 51, 5, 85, 18, 7, 3], [1, 6, 52, 0, 95, 8, 12, 2], [1, 7, 45, 20, 65, 33, 1, 4], [1, 7, 46, 15, 75, 23, 6, 3], [1, 7, 47, 10, 85, 13, 11, 2], [1, 7, 48, 5, 95, 3, 16, 1], [1, 8, 40, 30, 55, 38, 0, 4], [1, 8, 41, 25, 65, 28, 5, 3], [1, 8, 42, 20, 75, 18, 10, 2], [1, 8, 43, 15, 85, 8, 15, 1], [1, 9, 36, 35, 55, 33, 4, 3], [1, 9, 37, 30, 65, 23, 9, 2], [1, 9, 38, 25, 75, 13, 14, 1], [1, 9, 39, 20, 85, 3, 19, 0], [1, 10, 31, 45, 45, 38, 3, 3], [1, 10, 32, 40, 55, 28, 8, 2], [1, 10, 33, 35, 65, 18, 13, 1], [1, 10, 34, 30, 75, 8, 18, 0], [1, 11, 26, 55, 35, 43, 2, 3], [1, 11, 27, 50, 45, 33, 7, 2], [1, 11, 28, 45, 55, 23, 12, 1], [1, 11, 29, 40, 65, 13, 17, 0], [1, 12, 21, 65, 25, 48, 1, 3], [1, 12, 22, 60, 35, 38, 6, 2], [1, 12, 23, 55, 45, 28, 11, 1], [1, 12, 24, 50, 55, 18, 16, 0], [1, 13, 16, 75, 15, 53, 0, 3], [1, 13, 17, 70, 25, 43, 5, 2], [1, 13, 18, 65, 35, 33, 10, 1], [1, 13, 19, 60, 45, 23, 15, 0], [1, 14, 12, 80, 15, 48, 4, 2], [1, 14, 13, 75, 25, 38, 9, 1], [1, 14, 14, 70, 35, 28, 14, 0], [1, 15, 7, 90, 5, 53, 3, 2], [1, 15, 8, 85, 15, 43, 8, 1], [1, 15, 9, 80, 25, 33, 13, 0], [1, 16, 3, 95, 5, 48, 7, 1], [1, 16, 4, 90, 15, 38, 12, 0], [2, 1, 60, 0, 80, 27, 2, 4], [2, 2, 55, 10, 70, 32, 1, 4], [2, 2, 56, 5, 80, 22, 6, 3], [2, 2, 57, 0, 90, 12, 11, 2], [2, 3, 50, 20, 60, 37, 0, 4], [2, 3, 51, 15, 70, 27, 5, 3], [2, 3, 52, 10, 80, 17, 10, 2], [2, 3, 53, 5, 90, 7, 15, 1], [2, 4, 46, 25, 60, 32, 4, 3], [2, 4, 47, 20, 70, 22, 9, 2], [2, 4, 48, 15, 80, 12, 14, 1], [2, 4, 49, 10, 90, 2, 19, 0], [2, 5, 41, 35, 50, 37, 3, 3], [2, 5, 42, 30, 60, 27, 8, 2], [2, 5, 43, 25, 70, 17, 13, 1], [2, 5, 44, 20, 80, 7, 18, 0], [2, 6, 36, 45, 40, 42, 2, 3], [2, 6, 37, 40, 50, 32, 7, 2], [2, 6, 38, 35, 60, 22, 12, 1], [2, 6, 39, 30, 70, 12, 17, 0], [2, 7, 31, 55, 30, 47, 1, 3], [2, 7, 32, 50, 40, 37, 6, 2], [2, 7, 33, 45, 50, 27, 11, 1], [2, 7, 34, 40, 60, 17, 16, 0], [2, 8, 26, 65, 20, 52, 0, 3], [2, 8, 27, 60, 30, 42, 5, 2], [2, 8, 28, 55, 40, 32, 10, 1], [2, 8, 29, 50, 50, 22, 15, 0], [2, 9, 22, 70, 20, 47, 4, 2], [2, 9, 23, 65, 30, 37, 9, 1], [2, 9, 24, 60, 40, 27, 14, 0], [2, 10, 17, 80, 10, 52, 3, 2], [2, 10, 18, 75, 20, 42, 8, 1], [2, 10, 19, 70, 30, 32, 13, 0], [2, 11, 12, 90, 0, 57, 2, 2], [2, 11, 13, 85, 10, 47, 7, 1], [2, 11, 14, 80, 20, 37, 12, 0], [2, 12, 8, 95, 0, 52, 6, 1], [2, 12, 9, 90, 10, 42, 11, 0], [2, 13, 4, 100, 0, 47, 10, 0], [3, 0, 51, 25, 55, 36, 3, 3], [3, 0, 52, 20, 65, 26, 8, 2], [3, 0, 53, 15, 75, 16, 13, 1], [3, 0, 54, 10, 85, 6, 18, 0], [3, 1, 46, 35, 45, 41, 2, 3], [3, 1, 47, 30, 55, 31, 7, 2], [3, 1, 48, 25, 65, 21, 12, 1], [3, 1, 49, 20, 75, 11, 17, 0], [3, 2, 41, 45, 35, 46, 1, 3], [3, 2, 42, 40, 45, 36, 6, 2], [3, 2, 43, 35, 55, 26, 11, 1], [3, 2, 44, 30, 65, 16, 16, 0], [3, 3, 36, 55, 25, 51, 0, 3], [3, 3, 37, 50, 35, 41, 5, 2], [3, 3, 38, 45, 45, 31, 10, 1], [3, 3, 39, 40, 55, 21, 15, 0], [3, 4, 32, 60, 25, 46, 4, 2], [3, 4, 33, 55, 35, 36, 9, 1], [3, 4, 34, 50, 45, 26, 14, 0], [3, 5, 27, 70, 15, 51, 3, 2], [3, 5, 28, 65, 25, 41, 8, 1], [3, 5, 29, 60, 35, 31, 13, 0], [3, 6, 22, 80, 5, 56, 2, 2], [3, 6, 23, 75, 15, 46, 7, 1], [3, 6, 24, 70, 25, 36, 12, 0], [3, 7, 18, 85, 5, 51, 6, 1], [3, 7, 19, 80, 15, 41, 11, 0], [3, 8, 14, 90, 5, 46, 10, 0], [4, 0, 37, 60, 20, 50, 3, 2], [4, 0, 38, 55, 30, 40, 8, 1], [4, 0, 39, 50, 40, 30, 13, 0], [4, 1, 32, 70, 10, 55, 2, 2], [4, 1, 33, 65, 20, 45, 7, 1], [4, 1, 34, 60, 30, 35, 12, 0], [4, 2, 27, 80, 0, 60, 1, 2], [4, 2, 28, 75, 10, 50, 6, 1], [4, 2, 29, 70, 20, 40, 11, 0], [4, 3, 23, 85, 0, 55, 5, 1], [4, 3, 24, 80, 10, 45, 10, 0], [4, 4, 19, 90, 0, 50, 9, 0]}
(8, 176, 4) has 343 possible DDs: {[1, 0, 33, 39, 10, 86, 1, 3, 3], [1, 0, 34, 34, 20, 76, 6, 2, 3], [1, 0, 35, 29, 30, 66, 11, 1, 3], [1, 0, 35, 30, 25, 76, 1, 6, 2], [1, 0, 36, 24, 40, 56, 16, 0, 3], [1, 0, 36, 25, 35, 66, 6, 5, 2], [1, 0, 37, 20, 45, 56, 11, 4, 2], [1, 0, 37, 21, 40, 66, 1, 9, 1], [1, 0, 38, 15, 55, 46, 16, 3, 2], [1, 0, 38, 16, 50, 56, 6, 8, 1], [1, 0, 39, 10, 65, 36, 21, 2, 2], [1, 0, 39, 11, 60, 46, 11, 7, 1], [1, 0, 39, 12, 55, 56, 1, 12, 0], [1, 0, 40, 5, 75, 26, 26, 1, 2], [1, 0, 40, 6, 70, 36, 16, 6, 1], [1, 0, 40, 7, 65, 46, 6, 11, 0], [1, 0, 41, 0, 85, 16, 31, 0, 2], [1, 0, 41, 1, 80, 26, 21, 5, 1], [1, 0, 41, 2, 75, 36, 11, 10, 0], [1, 1, 28, 49, 0, 91, 0, 3, 3], [1, 1, 29, 44, 10, 81, 5, 2, 3], [1, 1, 30, 39, 20, 71, 10, 1, 3], [1, 1, 30, 40, 15, 81, 0, 6, 2], [1, 1, 31, 34, 30, 61, 15, 0, 3], [1, 1, 31, 35, 25, 71, 5, 5, 2], [1, 1, 32, 30, 35, 61, 10, 4, 2], [1, 1, 32, 31, 30, 71, 0, 9, 1], [1, 1, 33, 25, 45, 51, 15, 3, 2], [1, 1, 33, 26, 40, 61, 5, 8, 1], [1, 1, 34, 20, 55, 41, 20, 2, 2], [1, 1, 34, 21, 50, 51, 10, 7, 1], [1, 1, 34, 22, 45, 61, 0, 12, 0], [1, 1, 35, 15, 65, 31, 25, 1, 2], [1, 1, 35, 16, 60, 41, 15, 6, 1], [1, 1, 35, 17, 55, 51, 5, 11, 0], [1, 1, 36, 10, 75, 21, 30, 0, 2], [1, 1, 36, 11, 70, 31, 20, 5, 1], [1, 1, 36, 12, 65, 41, 10, 10, 0], [1, 1, 37, 6, 80, 21, 25, 4, 1], [1, 1, 37, 7, 75, 31, 15, 9, 0], [1, 1, 38, 1, 90, 11, 30, 3, 1], [1, 1, 38, 2, 85, 21, 20, 8, 0], [1, 2, 24, 54, 0, 86, 4, 2, 3], [1, 2, 25, 49, 10, 76, 9, 1, 3], [1, 2, 26, 44, 20, 66, 14, 0, 3], [1, 2, 26, 45, 15, 76, 4, 5, 2], [1, 2, 27, 40, 25, 66, 9, 4, 2], [1, 2, 28, 35, 35, 56, 14, 3, 2], [1, 2, 28, 36, 30, 66, 4, 8, 1], [1, 2, 29, 30, 45, 46, 19, 2, 2], [1, 2, 29, 31, 40, 56, 9, 7, 1], [1, 2, 30, 25, 55, 36, 24, 1, 2], [1, 2, 30, 26, 50, 46, 14, 6, 1], [1, 2, 30, 27, 45, 56, 4, 11, 0], [1, 2, 31, 20, 65, 26, 29, 0, 2], [1, 2, 31, 21, 60, 36, 19, 5, 1], [1, 2, 31, 22, 55, 46, 9, 10, 0], [1, 2, 32, 16, 70, 26, 24, 4, 1], [1, 2, 32, 17, 65, 36, 14, 9, 0], [1, 2, 33, 11, 80, 16, 29, 3, 1], [1, 2, 33, 12, 75, 26, 19, 8, 0], [1, 2, 34, 6, 90, 6, 34, 2, 1], [1, 2, 34, 7, 85, 16, 24, 7, 0], [1, 2, 35, 2, 95, 6, 29, 6, 0], [1, 3, 20, 59, 0, 81, 8, 1, 3], [1, 3, 21, 54, 10, 71, 13, 0, 3], [1, 3, 21, 55, 5, 81, 3, 5, 2], [1, 3, 22, 50, 15, 71, 8, 4, 2], [1, 3, 23, 45, 25, 61, 13, 3, 2], [1, 3, 23, 46, 20, 71, 3, 8, 1], [1, 3, 24, 40, 35, 51, 18, 2, 2], [1, 3, 24, 41, 30, 61, 8, 7, 1], [1, 3, 25, 35, 45, 41, 23, 1, 2], [1, 3, 25, 36, 40, 51, 13, 6, 1], [1, 3, 25, 37, 35, 61, 3, 11, 0], [1, 3, 26, 30, 55, 31, 28, 0, 2], [1, 3, 26, 31, 50, 41, 18, 5, 1], [1, 3, 26, 32, 45, 51, 8, 10, 0], [1, 3, 27, 26, 60, 31, 23, 4, 1], [1, 3, 27, 27, 55, 41, 13, 9, 0], [1, 3, 28, 21, 70, 21, 28, 3, 1], [1, 3, 28, 22, 65, 31, 18, 8, 0], [1, 3, 29, 16, 80, 11, 33, 2, 1], [1, 3, 29, 17, 75, 21, 23, 7, 0], [1, 3, 30, 11, 90, 1, 38, 1, 1], [1, 3, 30, 12, 85, 11, 28, 6, 0], [1, 3, 31, 7, 95, 1, 33, 5, 0], [1, 4, 16, 64, 0, 76, 12, 0, 3], [1, 4, 17, 60, 5, 76, 7, 4, 2], [1, 4, 18, 55, 15, 66, 12, 3, 2], [1, 4, 18, 56, 10, 76, 2, 8, 1], [1, 4, 19, 50, 25, 56, 17, 2, 2], [1, 4, 19, 51, 20, 66, 7, 7, 1], [1, 4, 20, 45, 35, 46, 22, 1, 2], [1, 4, 20, 46, 30, 56, 12, 6, 1], [1, 4, 20, 47, 25, 66, 2, 11, 0], [1, 4, 21, 40, 45, 36, 27, 0, 2], [1, 4, 21, 41, 40, 46, 17, 5, 1], [1, 4, 21, 42, 35, 56, 7, 10, 0], [1, 4, 22, 36, 50, 36, 22, 4, 1], [1, 4, 22, 37, 45, 46, 12, 9, 0], [1, 4, 23, 31, 60, 26, 27, 3, 1], [1, 4, 23, 32, 55, 36, 17, 8, 0], [1, 4, 24, 26, 70, 16, 32, 2, 1], [1, 4, 24, 27, 65, 26, 22, 7, 0], [1, 4, 25, 21, 80, 6, 37, 1, 1], [1, 4, 25, 22, 75, 16, 27, 6, 0], [1, 4, 26, 17, 85, 6, 32, 5, 0], [1, 5, 13, 65, 5, 71, 11, 3, 2], [1, 5, 13, 66, 0, 81, 1, 8, 1], [1, 5, 14, 60, 15, 61, 16, 2, 2], [1, 5, 14, 61, 10, 71, 6, 7, 1], [1, 5, 15, 55, 25, 51, 21, 1, 2], [1, 5, 15, 56, 20, 61, 11, 6, 1], [1, 5, 15, 57, 15, 71, 1, 11, 0], [1, 5, 16, 50, 35, 41, 26, 0, 2], [1, 5, 16, 51, 30, 51, 16, 5, 1], [1, 5, 16, 52, 25, 61, 6, 10, 0], [1, 5, 17, 46, 40, 41, 21, 4, 1], [1, 5, 17, 47, 35, 51, 11, 9, 0], [1, 5, 18, 41, 50, 31, 26, 3, 1], [1, 5, 18, 42, 45, 41, 16, 8, 0], [1, 5, 19, 36, 60, 21, 31, 2, 1], [1, 5, 19, 37, 55, 31, 21, 7, 0], [1, 5, 20, 31, 70, 11, 36, 1, 1], [1, 5, 20, 32, 65, 21, 26, 6, 0], [1, 5, 21, 26, 80, 1, 41, 0, 1], [1, 5, 21, 27, 75, 11, 31, 5, 0], [1, 5, 22, 22, 85, 1, 36, 4, 0], [1, 6, 9, 70, 5, 66, 15, 2, 2], [1, 6, 9, 71, 0, 76, 5, 7, 1], [1, 6, 10, 65, 15, 56, 20, 1, 2], [1, 6, 10, 66, 10, 66, 10, 6, 1], [1, 6, 10, 67, 5, 76, 0, 11, 0], [1, 6, 11, 60, 25, 46, 25, 0, 2], [1, 6, 11, 61, 20, 56, 15, 5, 1], [1, 6, 11, 62, 15, 66, 5, 10, 0], [1, 6, 12, 56, 30, 46, 20, 4, 1], [1, 6, 12, 57, 25, 56, 10, 9, 0], [1, 6, 13, 51, 40, 36, 25, 3, 1], [1, 6, 13, 52, 35, 46, 15, 8, 0], [1, 6, 14, 46, 50, 26, 30, 2, 1], [1, 6, 14, 47, 45, 36, 20, 7, 0], [1, 6, 15, 41, 60, 16, 35, 1, 1], [1, 6, 15, 42, 55, 26, 25, 6, 0], [1, 6, 16, 36, 70, 6, 40, 0, 1], [1, 6, 16, 37, 65, 16, 30, 5, 0], [1, 6, 17, 32, 75, 6, 35, 4, 0], [1, 7, 5, 75, 5, 61, 19, 1, 2], [1, 7, 5, 76, 0, 71, 9, 6, 1], [1, 7, 6, 70, 15, 51, 24, 0, 2], [1, 7, 6, 71, 10, 61, 14, 5, 1], [1, 7, 6, 72, 5, 71, 4, 10, 0], [1, 7, 7, 66, 20, 51, 19, 4, 1], [1, 7, 7, 67, 15, 61, 9, 9, 0], [1, 7, 8, 61, 30, 41, 24, 3, 1], [1, 7, 8, 62, 25, 51, 14, 8, 0], [1, 7, 9, 56, 40, 31, 29, 2, 1], [1, 7, 9, 57, 35, 41, 19, 7, 0], [1, 7, 10, 51, 50, 21, 34, 1, 1], [1, 7, 10, 52, 45, 31, 24, 6, 0], [1, 7, 11, 46, 60, 11, 39, 0, 1], [1, 7, 11, 47, 55, 21, 29, 5, 0], [1, 7, 12, 42, 65, 11, 34, 4, 0], [1, 7, 13, 37, 75, 1, 39, 3, 0], [1, 8, 1, 80, 5, 56, 23, 0, 2], [1, 8, 1, 81, 0, 66, 13, 5, 1], [1, 8, 2, 76, 10, 56, 18, 4, 1], [1, 8, 2, 77, 5, 66, 8, 9, 0], [1, 8, 3, 71, 20, 46, 23, 3, 1], [1, 8, 3, 72, 15, 56, 13, 8, 0], [1, 8, 4, 66, 30, 36, 28, 2, 1], [1, 8, 4, 67, 25, 46, 18, 7, 0], [1, 8, 5, 61, 40, 26, 33, 1, 1], [1, 8, 5, 62, 35, 36, 23, 6, 0], [1, 8, 6, 56, 50, 16, 38, 0, 1], [1, 8, 6, 57, 45, 26, 28, 5, 0], [1, 8, 7, 52, 55, 16, 33, 4, 0], [1, 8, 8, 47, 65, 6, 38, 3, 0], [1, 9, 0, 71, 30, 31, 32, 1, 1], [1, 9, 0, 72, 25, 41, 22, 6, 0], [1, 9, 1, 66, 40, 21, 37, 0, 1], [1, 9, 1, 67, 35, 31, 27, 5, 0], [1, 9, 2, 62, 45, 21, 32, 4, 0], [1, 9, 3, 57, 55, 11, 37, 3, 0], [1, 9, 4, 52, 65, 1, 42, 2, 0], [2, 0, 22, 60, 0, 80, 6, 4, 2], [2, 0, 23, 55, 10, 70, 11, 3, 2], [2, 0, 23, 56, 5, 80, 1, 8, 1], [2, 0, 24, 50, 20, 60, 16, 2, 2], [2, 0, 24, 51, 15, 70, 6, 7, 1], [2, 0, 25, 45, 30, 50, 21, 1, 2], [2, 0, 25, 46, 25, 60, 11, 6, 1], [2, 0, 25, 47, 20, 70, 1, 11, 0], [2, 0, 26, 40, 40, 40, 26, 0, 2], [2, 0, 26, 41, 35, 50, 16, 5, 1], [2, 0, 26, 42, 30, 60, 6, 10, 0], [2, 0, 27, 36, 45, 40, 21, 4, 1], [2, 0, 27, 37, 40, 50, 11, 9, 0], [2, 0, 28, 31, 55, 30, 26, 3, 1], [2, 0, 28, 32, 50, 40, 16, 8, 0], [2, 0, 29, 26, 65, 20, 31, 2, 1], [2, 0, 29, 27, 60, 30, 21, 7, 0], [2, 0, 30, 21, 75, 10, 36, 1, 1], [2, 0, 30, 22, 70, 20, 26, 6, 0], [2, 0, 31, 16, 85, 0, 41, 0, 1], [2, 0, 31, 17, 80, 10, 31, 5, 0], [2, 0, 32, 12, 90, 0, 36, 4, 0], [2, 1, 18, 65, 0, 75, 10, 3, 2], [2, 1, 19, 60, 10, 65, 15, 2, 2], [2, 1, 19, 61, 5, 75, 5, 7, 1], [2, 1, 20, 55, 20, 55, 20, 1, 2], [2, 1, 20, 56, 15, 65, 10, 6, 1], [2, 1, 20, 57, 10, 75, 0, 11, 0], [2, 1, 21, 50, 30, 45, 25, 0, 2], [2, 1, 21, 51, 25, 55, 15, 5, 1], [2, 1, 21, 52, 20, 65, 5, 10, 0], [2, 1, 22, 46, 35, 45, 20, 4, 1], [2, 1, 22, 47, 30, 55, 10, 9, 0], [2, 1, 23, 41, 45, 35, 25, 3, 1], [2, 1, 23, 42, 40, 45, 15, 8, 0], [2, 1, 24, 36, 55, 25, 30, 2, 1], [2, 1, 24, 37, 50, 35, 20, 7, 0], [2, 1, 25, 31, 65, 15, 35, 1, 1], [2, 1, 25, 32, 60, 25, 25, 6, 0], [2, 1, 26, 26, 75, 5, 40, 0, 1], [2, 1, 26, 27, 70, 15, 30, 5, 0], [2, 1, 27, 22, 80, 5, 35, 4, 0], [2, 2, 14, 70, 0, 70, 14, 2, 2], [2, 2, 15, 65, 10, 60, 19, 1, 2], [2, 2, 15, 66, 5, 70, 9, 6, 1], [2, 2, 16, 60, 20, 50, 24, 0, 2], [2, 2, 16, 61, 15, 60, 14, 5, 1], [2, 2, 16, 62, 10, 70, 4, 10, 0], [2, 2, 17, 56, 25, 50, 19, 4, 1], [2, 2, 17, 57, 20, 60, 9, 9, 0], [2, 2, 18, 51, 35, 40, 24, 3, 1], [2, 2, 18, 52, 30, 50, 14, 8, 0], [2, 2, 19, 46, 45, 30, 29, 2, 1], [2, 2, 19, 47, 40, 40, 19, 7, 0], [2, 2, 20, 41, 55, 20, 34, 1, 1], [2, 2, 20, 42, 50, 30, 24, 6, 0], [2, 2, 21, 36, 65, 10, 39, 0, 1], [2, 2, 21, 37, 60, 20, 29, 5, 0], [2, 2, 22, 32, 70, 10, 34, 4, 0], [2, 2, 23, 27, 80, 0, 39, 3, 0], [2, 3, 10, 75, 0, 65, 18, 1, 2], [2, 3, 11, 70, 10, 55, 23, 0, 2], [2, 3, 11, 71, 5, 65, 13, 5, 1], [2, 3, 11, 72, 0, 75, 3, 10, 0], [2, 3, 12, 66, 15, 55, 18, 4, 1], [2, 3, 12, 67, 10, 65, 8, 9, 0], [2, 3, 13, 61, 25, 45, 23, 3, 1], [2, 3, 13, 62, 20, 55, 13, 8, 0], [2, 3, 14, 56, 35, 35, 28, 2, 1], [2, 3, 14, 57, 30, 45, 18, 7, 0], [2, 3, 15, 51, 45, 25, 33, 1, 1], [2, 3, 15, 52, 40, 35, 23, 6, 0], [2, 3, 16, 46, 55, 15, 38, 0, 1], [2, 3, 16, 47, 50, 25, 28, 5, 0], [2, 3, 17, 42, 60, 15, 33, 4, 0], [2, 3, 18, 37, 70, 5, 38, 3, 0], [2, 4, 6, 80, 0, 60, 22, 0, 2], [2, 4, 7, 76, 5, 60, 17, 4, 1], [2, 4, 7, 77, 0, 70, 7, 9, 0], [2, 4, 8, 71, 15, 50, 22, 3, 1], [2, 4, 8, 72, 10, 60, 12, 8, 0], [2, 4, 9, 66, 25, 40, 27, 2, 1], [2, 4, 9, 67, 20, 50, 17, 7, 0], [2, 4, 10, 61, 35, 30, 32, 1, 1], [2, 4, 10, 62, 30, 40, 22, 6, 0], [2, 4, 11, 56, 45, 20, 37, 0, 1], [2, 4, 11, 57, 40, 30, 27, 5, 0], [2, 4, 12, 52, 50, 20, 32, 4, 0], [2, 4, 13, 47, 60, 10, 37, 3, 0], [2, 4, 14, 42, 70, 0, 42, 2, 0], [2, 5, 3, 81, 5, 55, 21, 3, 1], [2, 5, 3, 82, 0, 65, 11, 8, 0], [2, 5, 4, 76, 15, 45, 26, 2, 1], [2, 5, 4, 77, 10, 55, 16, 7, 0], [2, 5, 5, 71, 25, 35, 31, 1, 1], [2, 5, 5, 72, 20, 45, 21, 6, 0], [2, 5, 6, 66, 35, 25, 36, 0, 1], [2, 5, 6, 67, 30, 35, 26, 5, 0], [2, 5, 7, 62, 40, 25, 31, 4, 0], [2, 5, 8, 57, 50, 15, 36, 3, 0], [2, 5, 9, 52, 60, 5, 41, 2, 0], [2, 6, 0, 81, 15, 40, 30, 1, 1], [2, 6, 0, 82, 10, 50, 20, 6, 0], [2, 6, 1, 76, 25, 30, 35, 0, 1], [2, 6, 1, 77, 20, 40, 25, 5, 0], [2, 6, 2, 72, 30, 30, 30, 4, 0], [2, 6, 3, 67, 40, 20, 35, 3, 0], [2, 6, 4, 62, 50, 10, 40, 2, 0], [2, 6, 5, 57, 60, 0, 45, 1, 0], [2, 7, 0, 67, 50, 5, 44, 1, 0], [3, 0, 12, 76, 0, 64, 16, 4, 1], [3, 0, 13, 71, 10, 54, 21, 3, 1], [3, 0, 13, 72, 5, 64, 11, 8, 0], [3, 0, 14, 66, 20, 44, 26, 2, 1], [3, 0, 14, 67, 15, 54, 16, 7, 0], [3, 0, 15, 61, 30, 34, 31, 1, 1], [3, 0, 15, 62, 25, 44, 21, 6, 0], [3, 0, 16, 56, 40, 24, 36, 0, 1], [3, 0, 16, 57, 35, 34, 26, 5, 0], [3, 0, 17, 52, 45, 24, 31, 4, 0], [3, 0, 18, 47, 55, 14, 36, 3, 0], [3, 0, 19, 42, 65, 4, 41, 2, 0], [3, 1, 8, 81, 0, 59, 20, 3, 1], [3, 1, 9, 76, 10, 49, 25, 2, 1], [3, 1, 9, 77, 5, 59, 15, 7, 0], [3, 1, 10, 71, 20, 39, 30, 1, 1], [3, 1, 10, 72, 15, 49, 20, 6, 0], [3, 1, 11, 66, 30, 29, 35, 0, 1], [3, 1, 11, 67, 25, 39, 25, 5, 0], [3, 1, 12, 62, 35, 29, 30, 4, 0], [3, 1, 13, 57, 45, 19, 35, 3, 0], [3, 1, 14, 52, 55, 9, 40, 2, 0], [3, 2, 4, 86, 0, 54, 24, 2, 1], [3, 2, 5, 81, 10, 44, 29, 1, 1], [3, 2, 5, 82, 5, 54, 19, 6, 0], [3, 2, 6, 76, 20, 34, 34, 0, 1], [3, 2, 6, 77, 15, 44, 24, 5, 0], [3, 2, 7, 72, 25, 34, 29, 4, 0], [3, 2, 8, 67, 35, 24, 34, 3, 0], [3, 2, 9, 62, 45, 14, 39, 2, 0], [3, 2, 10, 57, 55, 4, 44, 1, 0], [3, 3, 0, 91, 0, 49, 28, 1, 1], [3, 3, 1, 86, 10, 39, 33, 0, 1], [3, 3, 1, 87, 5, 49, 23, 5, 0], [3, 3, 2, 82, 15, 39, 28, 4, 0], [3, 3, 3, 77, 25, 29, 33, 3, 0], [3, 3, 4, 72, 35, 19, 38, 2, 0], [3, 3, 5, 67, 45, 9, 43, 1, 0], [3, 4, 0, 77, 35, 14, 42, 1, 0], [3, 4, 1, 72, 45, 4, 47, 0, 0], [4, 0, 2, 92, 0, 48, 26, 4, 0], [4, 0, 3, 87, 10, 38, 31, 3, 0], [4, 0, 4, 82, 20, 28, 36, 2, 0], [4, 0, 5, 77, 30, 18, 41, 1, 0], [4, 0, 6, 72, 40, 8, 46, 0, 0], [4, 1, 0, 87, 20, 23, 40, 1, 0], [4, 1, 1, 82, 30, 13, 45, 0, 0]}
(9, 176, 4) has 647 possible DDs: {[1, 0, 11, 52, 9, 50, 49, 0, 2, 2], [1, 0, 11, 53, 4, 60, 39, 5, 1, 2], [1, 0, 11, 54, 0, 65, 39, 0, 5, 1], [1, 0, 12, 48, 14, 50, 44, 4, 1, 2], [1, 0, 12, 49, 9, 60, 34, 9, 0, 2], [1, 0, 12, 50, 5, 65, 34, 4, 4, 1], [1, 0, 12, 51, 0, 75, 24, 9, 3, 1], [1, 0, 13, 43, 24, 40, 49, 3, 1, 2], [1, 0, 13, 44, 19, 50, 39, 8, 0, 2], [1, 0, 13, 45, 15, 55, 39, 3, 4, 1], [1, 0, 13, 46, 10, 65, 29, 8, 3, 1], [1, 0, 13, 47, 5, 75, 19, 13, 2, 1], [1, 0, 13, 47, 6, 70, 29, 3, 7, 0], [1, 0, 13, 48, 0, 85, 9, 18, 1, 1], [1, 0, 13, 48, 1, 80, 19, 8, 6, 0], [1, 0, 14, 38, 34, 30, 54, 2, 1, 2], [1, 0, 14, 39, 29, 40, 44, 7, 0, 2], [1, 0, 14, 40, 25, 45, 44, 2, 4, 1], [1, 0, 14, 41, 20, 55, 34, 7, 3, 1], [1, 0, 14, 42, 15, 65, 24, 12, 2, 1], [1, 0, 14, 42, 16, 60, 34, 2, 7, 0], [1, 0, 14, 43, 10, 75, 14, 17, 1, 1], [1, 0, 14, 43, 11, 70, 24, 7, 6, 0], [1, 0, 14, 44, 5, 85, 4, 22, 0, 1], [1, 0, 14, 44, 6, 80, 14, 12, 5, 0], [1, 0, 14, 45, 1, 90, 4, 17, 4, 0], [1, 0, 15, 33, 44, 20, 59, 1, 1, 2], [1, 0, 15, 34, 39, 30, 49, 6, 0, 2], [1, 0, 15, 35, 35, 35, 49, 1, 4, 1], [1, 0, 15, 36, 30, 45, 39, 6, 3, 1], [1, 0, 15, 37, 25, 55, 29, 11, 2, 1], [1, 0, 15, 37, 26, 50, 39, 1, 7, 0], [1, 0, 15, 38, 20, 65, 19, 16, 1, 1], [1, 0, 15, 38, 21, 60, 29, 6, 6, 0], [1, 0, 15, 39, 15, 75, 9, 21, 0, 1], [1, 0, 15, 39, 16, 70, 19, 11, 5, 0], [1, 0, 15, 40, 11, 80, 9, 16, 4, 0], [1, 0, 16, 28, 54, 10, 64, 0, 1, 2], [1, 0, 16, 29, 49, 20, 54, 5, 0, 2], [1, 0, 16, 30, 45, 25, 54, 0, 4, 1], [1, 0, 16, 31, 40, 35, 44, 5, 3, 1], [1, 0, 16, 32, 35, 45, 34, 10, 2, 1], [1, 0, 16, 32, 36, 40, 44, 0, 7, 0], [1, 0, 16, 33, 30, 55, 24, 15, 1, 1], [1, 0, 16, 33, 31, 50, 34, 5, 6, 0], [1, 0, 16, 34, 25, 65, 14, 20, 0, 1], [1, 0, 16, 34, 26, 60, 24, 10, 5, 0], [1, 0, 16, 35, 21, 70, 14, 15, 4, 0], [1, 0, 16, 36, 16, 80, 4, 20, 3, 0], [1, 0, 17, 24, 59, 10, 59, 4, 0, 2], [1, 0, 17, 26, 50, 25, 49, 4, 3, 1], [1, 0, 17, 27, 45, 35, 39, 9, 2, 1], [1, 0, 17, 28, 40, 45, 29, 14, 1, 1], [1, 0, 17, 28, 41, 40, 39, 4, 6, 0], [1, 0, 17, 29, 35, 55, 19, 19, 0, 1], [1, 0, 17, 29, 36, 50, 29, 9, 5, 0], [1, 0, 17, 30, 31, 60, 19, 14, 4, 0], [1, 0, 17, 31, 26, 70, 9, 19, 3, 0], [1, 0, 18, 19, 69, 0, 64, 3, 0, 2], [1, 0, 18, 21, 60, 15, 54, 3, 3, 1], [1, 0, 18, 22, 55, 25, 44, 8, 2, 1], [1, 0, 18, 23, 50, 35, 34, 13, 1, 1], [1, 0, 18, 23, 51, 30, 44, 3, 6, 0], [1, 0, 18, 24, 45, 45, 24, 18, 0, 1], [1, 0, 18, 24, 46, 40, 34, 8, 5, 0], [1, 0, 18, 25, 41, 50, 24, 13, 4, 0], [1, 0, 18, 26, 36, 60, 14, 18, 3, 0], [1, 0, 18, 27, 31, 70, 4, 23, 2, 0], [1, 0, 19, 16, 70, 5, 59, 2, 3, 1], [1, 0, 19, 17, 65, 15, 49, 7, 2, 1], [1, 0, 19, 18, 60, 25, 39, 12, 1, 1], [1, 0, 19, 18, 61, 20, 49, 2, 6, 0], [1, 0, 19, 19, 55, 35, 29, 17, 0, 1], [1, 0, 19, 19, 56, 30, 39, 7, 5, 0], [1, 0, 19, 20, 51, 40, 29, 12, 4, 0], [1, 0, 19, 21, 46, 50, 19, 17, 3, 0], [1, 0, 19, 22, 41, 60, 9, 22, 2, 0], [1, 0, 20, 12, 75, 5, 54, 6, 2, 1], [1, 0, 20, 13, 70, 15, 44, 11, 1, 1], [1, 0, 20, 13, 71, 10, 54, 1, 6, 0], [1, 0, 20, 14, 65, 25, 34, 16, 0, 1], [1, 0, 20, 14, 66, 20, 44, 6, 5, 0], [1, 0, 20, 15, 61, 30, 34, 11, 4, 0], [1, 0, 20, 16, 56, 40, 24, 16, 3, 0], [1, 0, 20, 17, 51, 50, 14, 21, 2, 0], [1, 0, 20, 18, 46, 60, 4, 26, 1, 0], [1, 0, 21, 8, 80, 5, 49, 10, 1, 1], [1, 0, 21, 8, 81, 0, 59, 0, 6, 0], [1, 0, 21, 9, 75, 15, 39, 15, 0, 1], [1, 0, 21, 9, 76, 10, 49, 5, 5, 0], [1, 0, 21, 10, 71, 20, 39, 10, 4, 0], [1, 0, 21, 11, 66, 30, 29, 15, 3, 0], [1, 0, 21, 12, 61, 40, 19, 20, 2, 0], [1, 0, 21, 13, 56, 50, 9, 25, 1, 0], [1, 0, 22, 4, 85, 5, 44, 14, 0, 1], [1, 0, 22, 4, 86, 0, 54, 4, 5, 0], [1, 0, 22, 5, 81, 10, 44, 9, 4, 0], [1, 0, 22, 6, 76, 20, 34, 14, 3, 0], [1, 0, 22, 7, 71, 30, 24, 19, 2, 0], [1, 0, 22, 8, 66, 40, 14, 24, 1, 0], [1, 0, 22, 9, 61, 50, 4, 29, 0, 0], [1, 0, 23, 0, 91, 0, 49, 8, 4, 0], [1, 0, 23, 1, 86, 10, 39, 13, 3, 0], [1, 0, 23, 2, 81, 20, 29, 18, 2, 0], [1, 0, 23, 3, 76, 30, 19, 23, 1, 0], [1, 0, 23, 4, 71, 40, 9, 28, 0, 0], [1, 1, 7, 58, 4, 55, 43, 4, 1, 2], [1, 1, 8, 53, 14, 45, 48, 3, 1, 2], [1, 1, 8, 54, 9, 55, 38, 8, 0, 2], [1, 1, 8, 55, 5, 60, 38, 3, 4, 1], [1, 1, 8, 56, 0, 70, 28, 8, 3, 1], [1, 1, 9, 48, 24, 35, 53, 2, 1, 2], [1, 1, 9, 49, 19, 45, 43, 7, 0, 2], [1, 1, 9, 50, 15, 50, 43, 2, 4, 1], [1, 1, 9, 51, 10, 60, 33, 7, 3, 1], [1, 1, 9, 52, 5, 70, 23, 12, 2, 1], [1, 1, 9, 52, 6, 65, 33, 2, 7, 0], [1, 1, 9, 53, 0, 80, 13, 17, 1, 1], [1, 1, 9, 53, 1, 75, 23, 7, 6, 0], [1, 1, 10, 43, 34, 25, 58, 1, 1, 2], [1, 1, 10, 44, 29, 35, 48, 6, 0, 2], [1, 1, 10, 45, 25, 40, 48, 1, 4, 1], [1, 1, 10, 46, 20, 50, 38, 6, 3, 1], [1, 1, 10, 47, 15, 60, 28, 11, 2, 1], [1, 1, 10, 47, 16, 55, 38, 1, 7, 0], [1, 1, 10, 48, 10, 70, 18, 16, 1, 1], [1, 1, 10, 48, 11, 65, 28, 6, 6, 0], [1, 1, 10, 49, 5, 80, 8, 21, 0, 1], [1, 1, 10, 49, 6, 75, 18, 11, 5, 0], [1, 1, 10, 50, 1, 85, 8, 16, 4, 0], [1, 1, 11, 38, 44, 15, 63, 0, 1, 2], [1, 1, 11, 39, 39, 25, 53, 5, 0, 2], [1, 1, 11, 40, 35, 30, 53, 0, 4, 1], [1, 1, 11, 41, 30, 40, 43, 5, 3, 1], [1, 1, 11, 42, 25, 50, 33, 10, 2, 1], [1, 1, 11, 42, 26, 45, 43, 0, 7, 0], [1, 1, 11, 43, 20, 60, 23, 15, 1, 1], [1, 1, 11, 43, 21, 55, 33, 5, 6, 0], [1, 1, 11, 44, 15, 70, 13, 20, 0, 1], [1, 1, 11, 44, 16, 65, 23, 10, 5, 0], [1, 1, 11, 45, 11, 75, 13, 15, 4, 0], [1, 1, 11, 46, 6, 85, 3, 20, 3, 0], [1, 1, 12, 34, 49, 15, 58, 4, 0, 2], [1, 1, 12, 36, 40, 30, 48, 4, 3, 1], [1, 1, 12, 37, 35, 40, 38, 9, 2, 1], [1, 1, 12, 38, 30, 50, 28, 14, 1, 1], [1, 1, 12, 38, 31, 45, 38, 4, 6, 0], [1, 1, 12, 39, 25, 60, 18, 19, 0, 1], [1, 1, 12, 39, 26, 55, 28, 9, 5, 0], [1, 1, 12, 40, 21, 65, 18, 14, 4, 0], [1, 1, 12, 41, 16, 75, 8, 19, 3, 0], [1, 1, 13, 29, 59, 5, 63, 3, 0, 2], [1, 1, 13, 31, 50, 20, 53, 3, 3, 1], [1, 1, 13, 32, 45, 30, 43, 8, 2, 1], [1, 1, 13, 33, 40, 40, 33, 13, 1, 1], [1, 1, 13, 33, 41, 35, 43, 3, 6, 0], [1, 1, 13, 34, 35, 50, 23, 18, 0, 1], [1, 1, 13, 34, 36, 45, 33, 8, 5, 0], [1, 1, 13, 35, 31, 55, 23, 13, 4, 0], [1, 1, 13, 36, 26, 65, 13, 18, 3, 0], [1, 1, 13, 37, 21, 75, 3, 23, 2, 0], [1, 1, 14, 26, 60, 10, 58, 2, 3, 1], [1, 1, 14, 27, 55, 20, 48, 7, 2, 1], [1, 1, 14, 28, 50, 30, 38, 12, 1, 1], [1, 1, 14, 28, 51, 25, 48, 2, 6, 0], [1, 1, 14, 29, 45, 40, 28, 17, 0, 1], [1, 1, 14, 29, 46, 35, 38, 7, 5, 0], [1, 1, 14, 30, 41, 45, 28, 12, 4, 0], [1, 1, 14, 31, 36, 55, 18, 17, 3, 0], [1, 1, 14, 32, 31, 65, 8, 22, 2, 0], [1, 1, 15, 21, 70, 0, 63, 1, 3, 1], [1, 1, 15, 22, 65, 10, 53, 6, 2, 1], [1, 1, 15, 23, 60, 20, 43, 11, 1, 1], [1, 1, 15, 23, 61, 15, 53, 1, 6, 0], [1, 1, 15, 24, 55, 30, 33, 16, 0, 1], [1, 1, 15, 24, 56, 25, 43, 6, 5, 0], [1, 1, 15, 25, 51, 35, 33, 11, 4, 0], [1, 1, 15, 26, 46, 45, 23, 16, 3, 0], [1, 1, 15, 27, 41, 55, 13, 21, 2, 0], [1, 1, 15, 28, 36, 65, 3, 26, 1, 0], [1, 1, 16, 17, 75, 0, 58, 5, 2, 1], [1, 1, 16, 18, 70, 10, 48, 10, 1, 1], [1, 1, 16, 18, 71, 5, 58, 0, 6, 0], [1, 1, 16, 19, 65, 20, 38, 15, 0, 1], [1, 1, 16, 19, 66, 15, 48, 5, 5, 0], [1, 1, 16, 20, 61, 25, 38, 10, 4, 0], [1, 1, 16, 21, 56, 35, 28, 15, 3, 0], [1, 1, 16, 22, 51, 45, 18, 20, 2, 0], [1, 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