-------
(8, 112, 4) ALL distance distributions
(4, 112, 4) has 1 possible DDs: {[7, 28, 42, 28, 7]}
(5, 112, 4) has 8 possible DDs: {[0, 35, 0, 70, 0, 7], [1, 30, 10, 60, 5, 6], [2, 25, 20, 50, 10, 5], [3, 20, 30, 40, 15, 4], [4, 15, 40, 30, 20, 3], [5, 10, 50, 20, 25, 2], [6, 5, 60, 10, 30, 1], [7, 0, 70, 0, 35, 0]}
(6, 112, 4) has 20 possible DDs: {[0, 17, 20, 30, 40, 1, 4], [0, 18, 15, 40, 30, 6, 3], [0, 19, 10, 50, 20, 11, 2], [0, 20, 5, 60, 10, 16, 1], [0, 21, 0, 70, 0, 21, 0], [1, 12, 30, 20, 45, 0, 4], [1, 13, 25, 30, 35, 5, 3], [1, 14, 20, 40, 25, 10, 2], [1, 15, 15, 50, 15, 15, 1], [1, 16, 10, 60, 5, 20, 0], [2, 8, 35, 20, 40, 4, 3], [2, 9, 30, 30, 30, 9, 2], [2, 10, 25, 40, 20, 14, 1], [2, 11, 20, 50, 10, 19, 0], [3, 3, 45, 10, 45, 3, 3], [3, 4, 40, 20, 35, 8, 2], [3, 5, 35, 30, 25, 13, 1], [3, 6, 30, 40, 15, 18, 0], [4, 0, 45, 20, 30, 12, 1], [4, 1, 40, 30, 20, 17, 0]}
(7, 112, 4) has 48 possible DDs: {[0, 6, 30, 5, 50, 18, 0, 3], [0, 6, 31, 0, 60, 8, 5, 2], [0, 7, 26, 10, 50, 13, 4, 2], [0, 7, 27, 5, 60, 3, 9, 1], [0, 8, 21, 20, 40, 18, 3, 2], [0, 8, 22, 15, 50, 8, 8, 1], [0, 9, 16, 30, 30, 23, 2, 2], [0, 9, 17, 25, 40, 13, 7, 1], [0, 9, 18, 20, 50, 3, 12, 0], [0, 10, 11, 40, 20, 28, 1, 2], [0, 10, 12, 35, 30, 18, 6, 1], [0, 10, 13, 30, 40, 8, 11, 0], [0, 11, 6, 50, 10, 33, 0, 2], [0, 11, 7, 45, 20, 23, 5, 1], [0, 11, 8, 40, 30, 13, 10, 0], [0, 12, 2, 55, 10, 28, 4, 1], [0, 12, 3, 50, 20, 18, 9, 0], [1, 2, 36, 0, 55, 12, 4, 2], [1, 3, 31, 10, 45, 17, 3, 2], [1, 3, 32, 5, 55, 7, 8, 1], [1, 4, 26, 20, 35, 22, 2, 2], [1, 4, 27, 15, 45, 12, 7, 1], [1, 4, 28, 10, 55, 2, 12, 0], [1, 5, 21, 30, 25, 27, 1, 2], [1, 5, 22, 25, 35, 17, 6, 1], [1, 5, 23, 20, 45, 7, 11, 0], [1, 6, 16, 40, 15, 32, 0, 2], [1, 6, 17, 35, 25, 22, 5, 1], [1, 6, 18, 30, 35, 12, 10, 0], [1, 7, 12, 45, 15, 27, 4, 1], [1, 7, 13, 40, 25, 17, 9, 0], [1, 8, 7, 55, 5, 32, 3, 1], [1, 8, 8, 50, 15, 22, 8, 0], [1, 9, 3, 60, 5, 27, 7, 0], [2, 0, 31, 20, 30, 26, 1, 2], [2, 0, 32, 15, 40, 16, 6, 1], [2, 0, 33, 10, 50, 6, 11, 0], [2, 1, 26, 30, 20, 31, 0, 2], [2, 1, 27, 25, 30, 21, 5, 1], [2, 1, 28, 20, 40, 11, 10, 0], [2, 2, 22, 35, 20, 26, 4, 1], [2, 2, 23, 30, 30, 16, 9, 0], [2, 3, 17, 45, 10, 31, 3, 1], [2, 3, 18, 40, 20, 21, 8, 0], [2, 4, 12, 55, 0, 36, 2, 1], [2, 4, 13, 50, 10, 26, 7, 0], [2, 5, 8, 60, 0, 31, 6, 0], [3, 0, 18, 50, 5, 30, 6, 0]}
(8, 112, 4) has 117 possible DDs: {[0, 0, 30, 2, 30, 44, 2, 2, 2], [0, 1, 25, 12, 20, 49, 1, 2, 2], [0, 1, 26, 7, 30, 39, 6, 1, 2], [0, 1, 27, 2, 40, 29, 11, 0, 2], [0, 1, 27, 3, 35, 39, 1, 5, 1], [0, 2, 20, 22, 10, 54, 0, 2, 2], [0, 2, 21, 17, 20, 44, 5, 1, 2], [0, 2, 22, 12, 30, 34, 10, 0, 2], [0, 2, 22, 13, 25, 44, 0, 5, 1], [0, 2, 23, 8, 35, 34, 5, 4, 1], [0, 2, 24, 3, 45, 24, 10, 3, 1], [0, 2, 24, 4, 40, 34, 0, 8, 0], [0, 3, 16, 27, 10, 49, 4, 1, 2], [0, 3, 17, 22, 20, 39, 9, 0, 2], [0, 3, 18, 18, 25, 39, 4, 4, 1], [0, 3, 19, 13, 35, 29, 9, 3, 1], [0, 3, 20, 8, 45, 19, 14, 2, 1], [0, 3, 20, 9, 40, 29, 4, 7, 0], [0, 3, 21, 3, 55, 9, 19, 1, 1], [0, 3, 21, 4, 50, 19, 9, 6, 0], [0, 4, 11, 37, 0, 54, 3, 1, 2], [0, 4, 12, 32, 10, 44, 8, 0, 2], [0, 4, 13, 28, 15, 44, 3, 4, 1], [0, 4, 14, 23, 25, 34, 8, 3, 1], [0, 4, 15, 18, 35, 24, 13, 2, 1], [0, 4, 15, 19, 30, 34, 3, 7, 0], [0, 4, 16, 13, 45, 14, 18, 1, 1], [0, 4, 16, 14, 40, 24, 8, 6, 0], [0, 4, 17, 8, 55, 4, 23, 0, 1], [0, 4, 17, 9, 50, 14, 13, 5, 0], [0, 4, 18, 4, 60, 4, 18, 4, 0], [0, 5, 7, 42, 0, 49, 7, 0, 2], [0, 5, 8, 38, 5, 49, 2, 4, 1], [0, 5, 9, 33, 15, 39, 7, 3, 1], [0, 5, 10, 28, 25, 29, 12, 2, 1], [0, 5, 10, 29, 20, 39, 2, 7, 0], [0, 5, 11, 23, 35, 19, 17, 1, 1], [0, 5, 11, 24, 30, 29, 7, 6, 0], [0, 5, 12, 18, 45, 9, 22, 0, 1], [0, 5, 12, 19, 40, 19, 12, 5, 0], [0, 5, 13, 14, 50, 9, 17, 4, 0], [0, 6, 4, 43, 5, 44, 6, 3, 1], [0, 6, 5, 38, 15, 34, 11, 2, 1], [0, 6, 5, 39, 10, 44, 1, 7, 0], [0, 6, 6, 33, 25, 24, 16, 1, 1], [0, 6, 6, 34, 20, 34, 6, 6, 0], [0, 6, 7, 28, 35, 14, 21, 0, 1], [0, 6, 7, 29, 30, 24, 11, 5, 0], [0, 6, 8, 24, 40, 14, 16, 4, 0], [0, 6, 9, 19, 50, 4, 21, 3, 0], [0, 7, 0, 48, 5, 39, 10, 2, 1], [0, 7, 0, 49, 0, 49, 0, 7, 0], [0, 7, 1, 43, 15, 29, 15, 1, 1], [0, 7, 1, 44, 10, 39, 5, 6, 0], [0, 7, 2, 38, 25, 19, 20, 0, 1], [0, 7, 2, 39, 20, 29, 10, 5, 0], [0, 7, 3, 34, 30, 19, 15, 4, 0], [0, 7, 4, 29, 40, 9, 20, 3, 0], [0, 8, 0, 34, 40, 4, 24, 2, 0], [1, 0, 17, 32, 5, 48, 7, 0, 2], [1, 0, 18, 28, 10, 48, 2, 4, 1], [1, 0, 19, 23, 20, 38, 7, 3, 1], [1, 0, 20, 18, 30, 28, 12, 2, 1], [1, 0, 20, 19, 25, 38, 2, 7, 0], [1, 0, 21, 13, 40, 18, 17, 1, 1], [1, 0, 21, 14, 35, 28, 7, 6, 0], [1, 0, 22, 8, 50, 8, 22, 0, 1], [1, 0, 22, 9, 45, 18, 12, 5, 0], [1, 0, 23, 4, 55, 8, 17, 4, 0], [1, 1, 13, 38, 0, 53, 1, 4, 1], [1, 1, 14, 33, 10, 43, 6, 3, 1], [1, 1, 15, 28, 20, 33, 11, 2, 1], [1, 1, 15, 29, 15, 43, 1, 7, 0], [1, 1, 16, 23, 30, 23, 16, 1, 1], [1, 1, 16, 24, 25, 33, 6, 6, 0], [1, 1, 17, 18, 40, 13, 21, 0, 1], [1, 1, 17, 19, 35, 23, 11, 5, 0], [1, 1, 18, 14, 45, 13, 16, 4, 0], [1, 1, 19, 9, 55, 3, 21, 3, 0], [1, 2, 9, 43, 0, 48, 5, 3, 1], [1, 2, 10, 38, 10, 38, 10, 2, 1], [1, 2, 10, 39, 5, 48, 0, 7, 0], [1, 2, 11, 33, 20, 28, 15, 1, 1], [1, 2, 11, 34, 15, 38, 5, 6, 0], [1, 2, 12, 28, 30, 18, 20, 0, 1], [1, 2, 12, 29, 25, 28, 10, 5, 0], [1, 2, 13, 24, 35, 18, 15, 4, 0], [1, 2, 14, 19, 45, 8, 20, 3, 0], [1, 3, 5, 48, 0, 43, 9, 2, 1], [1, 3, 6, 43, 10, 33, 14, 1, 1], [1, 3, 6, 44, 5, 43, 4, 6, 0], [1, 3, 7, 38, 20, 23, 19, 0, 1], [1, 3, 7, 39, 15, 33, 9, 5, 0], [1, 3, 8, 34, 25, 23, 14, 4, 0], [1, 3, 9, 29, 35, 13, 19, 3, 0], [1, 3, 10, 24, 45, 3, 24, 2, 0], [1, 4, 1, 53, 0, 38, 13, 1, 1], [1, 4, 2, 48, 10, 28, 18, 0, 1], [1, 4, 2, 49, 5, 38, 8, 5, 0], [1, 4, 3, 44, 15, 28, 13, 4, 0], [1, 4, 4, 39, 25, 18, 18, 3, 0], [1, 4, 5, 34, 35, 8, 23, 2, 0], [1, 5, 0, 44, 25, 13, 22, 2, 0], [1, 5, 1, 39, 35, 3, 27, 1, 0], [2, 0, 7, 48, 5, 32, 17, 0, 1], [2, 0, 7, 49, 0, 42, 7, 5, 0], [2, 0, 8, 44, 10, 32, 12, 4, 0], [2, 0, 9, 39, 20, 22, 17, 3, 0], [2, 0, 10, 34, 30, 12, 22, 2, 0], [2, 0, 11, 29, 40, 2, 27, 1, 0], [2, 1, 3, 54, 0, 37, 11, 4, 0], [2, 1, 4, 49, 10, 27, 16, 3, 0], [2, 1, 5, 44, 20, 17, 21, 2, 0], [2, 1, 6, 39, 30, 7, 26, 1, 0], [2, 2, 0, 54, 10, 22, 20, 2, 0], [2, 2, 1, 49, 20, 12, 25, 1, 0], [2, 2, 2, 44, 30, 2, 30, 0, 0]}
-------
(8, 112, 4) ALL distance distributions
(4, 112, 4) has 1 possible DDs: {[7, 28, 42, 28, 7]}
(5, 112, 4) has 8 possible DDs: {[0, 35, 0, 70, 0, 7], [1, 30, 10, 60, 5, 6], [2, 25, 20, 50, 10, 5], [3, 20, 30, 40, 15, 4], [4, 15, 40, 30, 20, 3], [5, 10, 50, 20, 25, 2], [6, 5, 60, 10, 30, 1], [7, 0, 70, 0, 35, 0]}
(6, 112, 4) has 20 possible DDs: {[0, 17, 20, 30, 40, 1, 4], [0, 18, 15, 40, 30, 6, 3], [0, 19, 10, 50, 20, 11, 2], [0, 20, 5, 60, 10, 16, 1], [0, 21, 0, 70, 0, 21, 0], [1, 12, 30, 20, 45, 0, 4], [1, 13, 25, 30, 35, 5, 3], [1, 14, 20, 40, 25, 10, 2], [1, 15, 15, 50, 15, 15, 1], [1, 16, 10, 60, 5, 20, 0], [2, 8, 35, 20, 40, 4, 3], [2, 9, 30, 30, 30, 9, 2], [2, 10, 25, 40, 20, 14, 1], [2, 11, 20, 50, 10, 19, 0], [3, 3, 45, 10, 45, 3, 3], [3, 4, 40, 20, 35, 8, 2], [3, 5, 35, 30, 25, 13, 1], [3, 6, 30, 40, 15, 18, 0], [4, 0, 45, 20, 30, 12, 1], [4, 1, 40, 30, 20, 17, 0]}
(7, 112, 4) has 48 possible DDs: {[0, 6, 30, 5, 50, 18, 0, 3], [0, 6, 31, 0, 60, 8, 5, 2], [0, 7, 26, 10, 50, 13, 4, 2], [0, 7, 27, 5, 60, 3, 9, 1], [0, 8, 21, 20, 40, 18, 3, 2], [0, 8, 22, 15, 50, 8, 8, 1], [0, 9, 16, 30, 30, 23, 2, 2], [0, 9, 17, 25, 40, 13, 7, 1], [0, 9, 18, 20, 50, 3, 12, 0], [0, 10, 11, 40, 20, 28, 1, 2], [0, 10, 12, 35, 30, 18, 6, 1], [0, 10, 13, 30, 40, 8, 11, 0], [0, 11, 6, 50, 10, 33, 0, 2], [0, 11, 7, 45, 20, 23, 5, 1], [0, 11, 8, 40, 30, 13, 10, 0], [0, 12, 2, 55, 10, 28, 4, 1], [0, 12, 3, 50, 20, 18, 9, 0], [1, 2, 36, 0, 55, 12, 4, 2], [1, 3, 31, 10, 45, 17, 3, 2], [1, 3, 32, 5, 55, 7, 8, 1], [1, 4, 26, 20, 35, 22, 2, 2], [1, 4, 27, 15, 45, 12, 7, 1], [1, 4, 28, 10, 55, 2, 12, 0], [1, 5, 21, 30, 25, 27, 1, 2], [1, 5, 22, 25, 35, 17, 6, 1], [1, 5, 23, 20, 45, 7, 11, 0], [1, 6, 16, 40, 15, 32, 0, 2], [1, 6, 17, 35, 25, 22, 5, 1], [1, 6, 18, 30, 35, 12, 10, 0], [1, 7, 12, 45, 15, 27, 4, 1], [1, 7, 13, 40, 25, 17, 9, 0], [1, 8, 7, 55, 5, 32, 3, 1], [1, 8, 8, 50, 15, 22, 8, 0], [1, 9, 3, 60, 5, 27, 7, 0], [2, 0, 31, 20, 30, 26, 1, 2], [2, 0, 32, 15, 40, 16, 6, 1], [2, 0, 33, 10, 50, 6, 11, 0], [2, 1, 26, 30, 20, 31, 0, 2], [2, 1, 27, 25, 30, 21, 5, 1], [2, 1, 28, 20, 40, 11, 10, 0], [2, 2, 22, 35, 20, 26, 4, 1], [2, 2, 23, 30, 30, 16, 9, 0], [2, 3, 17, 45, 10, 31, 3, 1], [2, 3, 18, 40, 20, 21, 8, 0], [2, 4, 12, 55, 0, 36, 2, 1], [2, 4, 13, 50, 10, 26, 7, 0], [2, 5, 8, 60, 0, 31, 6, 0], [3, 0, 18, 50, 5, 30, 6, 0]}
(8, 112, 4) has 117 possible DDs: {[0, 0, 30, 2, 30, 44, 2, 2, 2], [0, 1, 25, 12, 20, 49, 1, 2, 2], [0, 1, 26, 7, 30, 39, 6, 1, 2], [0, 1, 27, 2, 40, 29, 11, 0, 2], [0, 1, 27, 3, 35, 39, 1, 5, 1], [0, 2, 20, 22, 10, 54, 0, 2, 2], [0, 2, 21, 17, 20, 44, 5, 1, 2], [0, 2, 22, 12, 30, 34, 10, 0, 2], [0, 2, 22, 13, 25, 44, 0, 5, 1], [0, 2, 23, 8, 35, 34, 5, 4, 1], [0, 2, 24, 3, 45, 24, 10, 3, 1], [0, 2, 24, 4, 40, 34, 0, 8, 0], [0, 3, 16, 27, 10, 49, 4, 1, 2], [0, 3, 17, 22, 20, 39, 9, 0, 2], [0, 3, 18, 18, 25, 39, 4, 4, 1], [0, 3, 19, 13, 35, 29, 9, 3, 1], [0, 3, 20, 8, 45, 19, 14, 2, 1], [0, 3, 20, 9, 40, 29, 4, 7, 0], [0, 3, 21, 3, 55, 9, 19, 1, 1], [0, 3, 21, 4, 50, 19, 9, 6, 0], [0, 4, 11, 37, 0, 54, 3, 1, 2], [0, 4, 12, 32, 10, 44, 8, 0, 2], [0, 4, 13, 28, 15, 44, 3, 4, 1], [0, 4, 14, 23, 25, 34, 8, 3, 1], [0, 4, 15, 18, 35, 24, 13, 2, 1], [0, 4, 15, 19, 30, 34, 3, 7, 0], [0, 4, 16, 13, 45, 14, 18, 1, 1], [0, 4, 16, 14, 40, 24, 8, 6, 0], [0, 4, 17, 8, 55, 4, 23, 0, 1], [0, 4, 17, 9, 50, 14, 13, 5, 0], [0, 4, 18, 4, 60, 4, 18, 4, 0], [0, 5, 7, 42, 0, 49, 7, 0, 2], [0, 5, 8, 38, 5, 49, 2, 4, 1], [0, 5, 9, 33, 15, 39, 7, 3, 1], [0, 5, 10, 28, 25, 29, 12, 2, 1], [0, 5, 10, 29, 20, 39, 2, 7, 0], [0, 5, 11, 23, 35, 19, 17, 1, 1], [0, 5, 11, 24, 30, 29, 7, 6, 0], [0, 5, 12, 18, 45, 9, 22, 0, 1], [0, 5, 12, 19, 40, 19, 12, 5, 0], [0, 5, 13, 14, 50, 9, 17, 4, 0], [0, 6, 4, 43, 5, 44, 6, 3, 1], [0, 6, 5, 38, 15, 34, 11, 2, 1], [0, 6, 5, 39, 10, 44, 1, 7, 0], [0, 6, 6, 33, 25, 24, 16, 1, 1], [0, 6, 6, 34, 20, 34, 6, 6, 0], [0, 6, 7, 28, 35, 14, 21, 0, 1], [0, 6, 7, 29, 30, 24, 11, 5, 0], [0, 6, 8, 24, 40, 14, 16, 4, 0], [0, 6, 9, 19, 50, 4, 21, 3, 0], [0, 7, 0, 48, 5, 39, 10, 2, 1], [0, 7, 0, 49, 0, 49, 0, 7, 0], [0, 7, 1, 43, 15, 29, 15, 1, 1], [0, 7, 1, 44, 10, 39, 5, 6, 0], [0, 7, 2, 38, 25, 19, 20, 0, 1], [0, 7, 2, 39, 20, 29, 10, 5, 0], [0, 7, 3, 34, 30, 19, 15, 4, 0], [0, 7, 4, 29, 40, 9, 20, 3, 0], [0, 8, 0, 34, 40, 4, 24, 2, 0], [1, 0, 17, 32, 5, 48, 7, 0, 2], [1, 0, 18, 28, 10, 48, 2, 4, 1], [1, 0, 19, 23, 20, 38, 7, 3, 1], [1, 0, 20, 18, 30, 28, 12, 2, 1], [1, 0, 20, 19, 25, 38, 2, 7, 0], [1, 0, 21, 13, 40, 18, 17, 1, 1], [1, 0, 21, 14, 35, 28, 7, 6, 0], [1, 0, 22, 8, 50, 8, 22, 0, 1], [1, 0, 22, 9, 45, 18, 12, 5, 0], [1, 0, 23, 4, 55, 8, 17, 4, 0], [1, 1, 13, 38, 0, 53, 1, 4, 1], [1, 1, 14, 33, 10, 43, 6, 3, 1], [1, 1, 15, 28, 20, 33, 11, 2, 1], [1, 1, 15, 29, 15, 43, 1, 7, 0], [1, 1, 16, 23, 30, 23, 16, 1, 1], [1, 1, 16, 24, 25, 33, 6, 6, 0], [1, 1, 17, 18, 40, 13, 21, 0, 1], [1, 1, 17, 19, 35, 23, 11, 5, 0], [1, 1, 18, 14, 45, 13, 16, 4, 0], [1, 1, 19, 9, 55, 3, 21, 3, 0], [1, 2, 9, 43, 0, 48, 5, 3, 1], [1, 2, 10, 38, 10, 38, 10, 2, 1], [1, 2, 10, 39, 5, 48, 0, 7, 0], [1, 2, 11, 33, 20, 28, 15, 1, 1], [1, 2, 11, 34, 15, 38, 5, 6, 0], [1, 2, 12, 28, 30, 18, 20, 0, 1], [1, 2, 12, 29, 25, 28, 10, 5, 0], [1, 2, 13, 24, 35, 18, 15, 4, 0], [1, 2, 14, 19, 45, 8, 20, 3, 0], [1, 3, 5, 48, 0, 43, 9, 2, 1], [1, 3, 6, 43, 10, 33, 14, 1, 1], [1, 3, 6, 44, 5, 43, 4, 6, 0], [1, 3, 7, 38, 20, 23, 19, 0, 1], [1, 3, 7, 39, 15, 33, 9, 5, 0], [1, 3, 8, 34, 25, 23, 14, 4, 0], [1, 3, 9, 29, 35, 13, 19, 3, 0], [1, 3, 10, 24, 45, 3, 24, 2, 0], [1, 4, 1, 53, 0, 38, 13, 1, 1], [1, 4, 2, 48, 10, 28, 18, 0, 1], [1, 4, 2, 49, 5, 38, 8, 5, 0], [1, 4, 3, 44, 15, 28, 13, 4, 0], [1, 4, 4, 39, 25, 18, 18, 3, 0], [1, 4, 5, 34, 35, 8, 23, 2, 0], [1, 5, 0, 44, 25, 13, 22, 2, 0], [1, 5, 1, 39, 35, 3, 27, 1, 0], [2, 0, 7, 48, 5, 32, 17, 0, 1], [2, 0, 7, 49, 0, 42, 7, 5, 0], [2, 0, 8, 44, 10, 32, 12, 4, 0], [2, 0, 9, 39, 20, 22, 17, 3, 0], [2, 0, 10, 34, 30, 12, 22, 2, 0], [2, 0, 11, 29, 40, 2, 27, 1, 0], [2, 1, 3, 54, 0, 37, 11, 4, 0], [2, 1, 4, 49, 10, 27, 16, 3, 0], [2, 1, 5, 44, 20, 17, 21, 2, 0], [2, 1, 6, 39, 30, 7, 26, 1, 0], [2, 2, 0, 54, 10, 22, 20, 2, 0], [2, 2, 1, 49, 20, 12, 25, 1, 0], [2, 2, 2, 44, 30, 2, 30, 0, 0]}