------- (12, 9, 1) ALL distance distributions for INTERNAL point (1, 9, 1) has 1 possible DDs: {[3, 6]} (2, 9, 1) has 3 possible DDs: {[1, 4, 4], [2, 2, 5], [3, 0, 6]} (3, 9, 1) has 7 possible DDs: {[1, 0, 6, 2], [1, 1, 4, 3], [1, 2, 2, 4], [1, 3, 0, 5], [2, 0, 3, 4], [2, 1, 1, 5], [3, 0, 0, 6]} (4, 9, 1) has 15 possible DDs: {[1, 0, 0, 8, 0], [1, 0, 1, 6, 1], [1, 0, 2, 4, 2], [1, 0, 3, 2, 3], [1, 0, 4, 0, 4], [1, 1, 0, 5, 2], [1, 1, 1, 3, 3], [1, 1, 2, 1, 4], [1, 2, 0, 2, 4], [1, 2, 1, 0, 5], [2, 0, 0, 4, 3], [2, 0, 1, 2, 4], [2, 0, 2, 0, 5], [2, 1, 0, 1, 5], [3, 0, 0, 0, 6]} (5, 9, 1) has 28 possible DDs: {[1, 0, 0, 2, 6, 0], [1, 0, 0, 3, 4, 1], [1, 0, 0, 4, 2, 2], [1, 0, 0, 5, 0, 3], [1, 0, 1, 0, 7, 0], [1, 0, 1, 1, 5, 1], [1, 0, 1, 2, 3, 2], [1, 0, 1, 3, 1, 3], [1, 0, 2, 0, 4, 2], [1, 0, 2, 1, 2, 3], [1, 0, 2, 2, 0, 4], [1, 0, 3, 0, 1, 4], [1, 1, 0, 0, 6, 1], [1, 1, 0, 1, 4, 2], [1, 1, 0, 2, 2, 3], [1, 1, 0, 3, 0, 4], [1, 1, 1, 0, 3, 3], [1, 1, 1, 1, 1, 4], [1, 1, 2, 0, 0, 5], [1, 2, 0, 0, 2, 4], [1, 2, 0, 1, 0, 5], [2, 0, 0, 0, 5, 2], [2, 0, 0, 1, 3, 3], [2, 0, 0, 2, 1, 4], [2, 0, 1, 0, 2, 4], [2, 0, 1, 1, 0, 5], [2, 1, 0, 0, 1, 5], [3, 0, 0, 0, 0, 6]} (6, 9, 1) has 51 possible DDs: {[1, 0, 0, 0, 4, 4, 0], [1, 0, 0, 0, 5, 2, 1], [1, 0, 0, 0, 6, 0, 2], [1, 0, 0, 1, 2, 5, 0], [1, 0, 0, 1, 3, 3, 1], [1, 0, 0, 1, 4, 1, 2], [1, 0, 0, 2, 0, 6, 0], [1, 0, 0, 2, 1, 4, 1], [1, 0, 0, 2, 2, 2, 2], [1, 0, 0, 2, 3, 0, 3], [1, 0, 0, 3, 0, 3, 2], [1, 0, 0, 3, 1, 1, 3], [1, 0, 0, 4, 0, 0, 4], [1, 0, 1, 0, 1, 6, 0], [1, 0, 1, 0, 2, 4, 1], [1, 0, 1, 0, 3, 2, 2], [1, 0, 1, 0, 4, 0, 3], [1, 0, 1, 1, 0, 5, 1], [1, 0, 1, 1, 1, 3, 2], [1, 0, 1, 1, 2, 1, 3], [1, 0, 1, 2, 0, 2, 3], [1, 0, 1, 2, 1, 0, 4], [1, 0, 2, 0, 0, 4, 2], [1, 0, 2, 0, 1, 2, 3], [1, 0, 2, 0, 2, 0, 4], [1, 0, 2, 1, 0, 1, 4], [1, 0, 3, 0, 0, 0, 5], [1, 1, 0, 0, 0, 7, 0], [1, 1, 0, 0, 1, 5, 1], [1, 1, 0, 0, 2, 3, 2], [1, 1, 0, 0, 3, 1, 3], [1, 1, 0, 1, 0, 4, 2], [1, 1, 0, 1, 1, 2, 3], [1, 1, 0, 1, 2, 0, 4], [1, 1, 0, 2, 0, 1, 4], [1, 1, 1, 0, 0, 3, 3], [1, 1, 1, 0, 1, 1, 4], [1, 1, 1, 1, 0, 0, 5], [1, 2, 0, 0, 0, 2, 4], [1, 2, 0, 0, 1, 0, 5], [2, 0, 0, 0, 0, 6, 1], [2, 0, 0, 0, 1, 4, 2], [2, 0, 0, 0, 2, 2, 3], [2, 0, 0, 0, 3, 0, 4], [2, 0, 0, 1, 0, 3, 3], [2, 0, 0, 1, 1, 1, 4], [2, 0, 0, 2, 0, 0, 5], [2, 0, 1, 0, 0, 2, 4], [2, 0, 1, 0, 1, 0, 5], [2, 1, 0, 0, 0, 1, 5], [3, 0, 0, 0, 0, 0, 6]} (7, 9, 1) has 86 possible DDs: {[1, 0, 0, 0, 0, 6, 2, 0], [1, 0, 0, 0, 0, 7, 0, 1], [1, 0, 0, 0, 1, 4, 3, 0], [1, 0, 0, 0, 1, 5, 1, 1], [1, 0, 0, 0, 2, 2, 4, 0], [1, 0, 0, 0, 2, 3, 2, 1], [1, 0, 0, 0, 2, 4, 0, 2], [1, 0, 0, 0, 3, 0, 5, 0], [1, 0, 0, 0, 3, 1, 3, 1], [1, 0, 0, 0, 3, 2, 1, 2], [1, 0, 0, 0, 4, 0, 2, 2], [1, 0, 0, 0, 4, 1, 0, 3], [1, 0, 0, 1, 0, 3, 4, 0], [1, 0, 0, 1, 0, 4, 2, 1], [1, 0, 0, 1, 0, 5, 0, 2], [1, 0, 0, 1, 1, 1, 5, 0], [1, 0, 0, 1, 1, 2, 3, 1], [1, 0, 0, 1, 1, 3, 1, 2], [1, 0, 0, 1, 2, 0, 4, 1], [1, 0, 0, 1, 2, 1, 2, 2], [1, 0, 0, 1, 2, 2, 0, 3], [1, 0, 0, 1, 3, 0, 1, 3], [1, 0, 0, 2, 0, 0, 6, 0], [1, 0, 0, 2, 0, 1, 4, 1], [1, 0, 0, 2, 0, 2, 2, 2], [1, 0, 0, 2, 0, 3, 0, 3], [1, 0, 0, 2, 1, 0, 3, 2], [1, 0, 0, 2, 1, 1, 1, 3], [1, 0, 0, 2, 2, 0, 0, 4], [1, 0, 0, 3, 0, 0, 2, 3], [1, 0, 0, 3, 0, 1, 0, 4], [1, 0, 1, 0, 0, 2, 5, 0], [1, 0, 1, 0, 0, 3, 3, 1], [1, 0, 1, 0, 0, 4, 1, 2], [1, 0, 1, 0, 1, 0, 6, 0], [1, 0, 1, 0, 1, 1, 4, 1], [1, 0, 1, 0, 1, 2, 2, 2], [1, 0, 1, 0, 1, 3, 0, 3], [1, 0, 1, 0, 2, 0, 3, 2], [1, 0, 1, 0, 2, 1, 1, 3], [1, 0, 1, 0, 3, 0, 0, 4], [1, 0, 1, 1, 0, 0, 5, 1], [1, 0, 1, 1, 0, 1, 3, 2], [1, 0, 1, 1, 0, 2, 1, 3], [1, 0, 1, 1, 1, 0, 2, 3], [1, 0, 1, 1, 1, 1, 0, 4], [1, 0, 1, 2, 0, 0, 1, 4], [1, 0, 2, 0, 0, 0, 4, 2], [1, 0, 2, 0, 0, 1, 2, 3], [1, 0, 2, 0, 0, 2, 0, 4], [1, 0, 2, 0, 1, 0, 1, 4], [1, 0, 2, 1, 0, 0, 0, 5], [1, 1, 0, 0, 0, 1, 6, 0], [1, 1, 0, 0, 0, 2, 4, 1], [1, 1, 0, 0, 0, 3, 2, 2], [1, 1, 0, 0, 0, 4, 0, 3], [1, 1, 0, 0, 1, 0, 5, 1], [1, 1, 0, 0, 1, 1, 3, 2], [1, 1, 0, 0, 1, 2, 1, 3], [1, 1, 0, 0, 2, 0, 2, 3], [1, 1, 0, 0, 2, 1, 0, 4], [1, 1, 0, 1, 0, 0, 4, 2], [1, 1, 0, 1, 0, 1, 2, 3], [1, 1, 0, 1, 0, 2, 0, 4], [1, 1, 0, 1, 1, 0, 1, 4], [1, 1, 0, 2, 0, 0, 0, 5], [1, 1, 1, 0, 0, 0, 3, 3], [1, 1, 1, 0, 0, 1, 1, 4], [1, 1, 1, 0, 1, 0, 0, 5], [1, 2, 0, 0, 0, 0, 2, 4], [1, 2, 0, 0, 0, 1, 0, 5], [2, 0, 0, 0, 0, 0, 7, 0], [2, 0, 0, 0, 0, 1, 5, 1], [2, 0, 0, 0, 0, 2, 3, 2], [2, 0, 0, 0, 0, 3, 1, 3], [2, 0, 0, 0, 1, 0, 4, 2], [2, 0, 0, 0, 1, 1, 2, 3], [2, 0, 0, 0, 1, 2, 0, 4], [2, 0, 0, 0, 2, 0, 1, 4], [2, 0, 0, 1, 0, 0, 3, 3], [2, 0, 0, 1, 0, 1, 1, 4], [2, 0, 0, 1, 1, 0, 0, 5], [2, 0, 1, 0, 0, 0, 2, 4], [2, 0, 1, 0, 0, 1, 0, 5], [2, 1, 0, 0, 0, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 6]} (8, 9, 1) has 141 possible DDs: {[1, 0, 0, 0, 0, 0, 8, 0, 0], [1, 0, 0, 0, 0, 1, 6, 1, 0], [1, 0, 0, 0, 0, 2, 4, 2, 0], [1, 0, 0, 0, 0, 2, 5, 0, 1], [1, 0, 0, 0, 0, 3, 2, 3, 0], [1, 0, 0, 0, 0, 3, 3, 1, 1], [1, 0, 0, 0, 0, 4, 0, 4, 0], [1, 0, 0, 0, 0, 4, 1, 2, 1], [1, 0, 0, 0, 0, 4, 2, 0, 2], [1, 0, 0, 0, 0, 5, 0, 1, 2], [1, 0, 0, 0, 1, 0, 5, 2, 0], [1, 0, 0, 0, 1, 0, 6, 0, 1], [1, 0, 0, 0, 1, 1, 3, 3, 0], [1, 0, 0, 0, 1, 1, 4, 1, 1], [1, 0, 0, 0, 1, 2, 1, 4, 0], [1, 0, 0, 0, 1, 2, 2, 2, 1], [1, 0, 0, 0, 1, 2, 3, 0, 2], [1, 0, 0, 0, 1, 3, 0, 3, 1], [1, 0, 0, 0, 1, 3, 1, 1, 2], [1, 0, 0, 0, 1, 4, 0, 0, 3], [1, 0, 0, 0, 2, 0, 2, 4, 0], [1, 0, 0, 0, 2, 0, 3, 2, 1], [1, 0, 0, 0, 2, 0, 4, 0, 2], [1, 0, 0, 0, 2, 1, 0, 5, 0], [1, 0, 0, 0, 2, 1, 1, 3, 1], [1, 0, 0, 0, 2, 1, 2, 1, 2], [1, 0, 0, 0, 2, 2, 0, 2, 2], [1, 0, 0, 0, 2, 2, 1, 0, 3], [1, 0, 0, 0, 3, 0, 0, 4, 1], [1, 0, 0, 0, 3, 0, 1, 2, 2], [1, 0, 0, 0, 3, 0, 2, 0, 3], [1, 0, 0, 0, 3, 1, 0, 1, 3], [1, 0, 0, 0, 4, 0, 0, 0, 4], [1, 0, 0, 1, 0, 0, 4, 3, 0], [1, 0, 0, 1, 0, 0, 5, 1, 1], [1, 0, 0, 1, 0, 1, 2, 4, 0], [1, 0, 0, 1, 0, 1, 3, 2, 1], [1, 0, 0, 1, 0, 1, 4, 0, 2], [1, 0, 0, 1, 0, 2, 0, 5, 0], [1, 0, 0, 1, 0, 2, 1, 3, 1], [1, 0, 0, 1, 0, 2, 2, 1, 2], [1, 0, 0, 1, 0, 3, 0, 2, 2], [1, 0, 0, 1, 0, 3, 1, 0, 3], [1, 0, 0, 1, 1, 0, 1, 5, 0], [1, 0, 0, 1, 1, 0, 2, 3, 1], [1, 0, 0, 1, 1, 0, 3, 1, 2], [1, 0, 0, 1, 1, 1, 0, 4, 1], [1, 0, 0, 1, 1, 1, 1, 2, 2], [1, 0, 0, 1, 1, 1, 2, 0, 3], [1, 0, 0, 1, 1, 2, 0, 1, 3], [1, 0, 0, 1, 2, 0, 0, 3, 2], [1, 0, 0, 1, 2, 0, 1, 1, 3], [1, 0, 0, 1, 2, 1, 0, 0, 4], [1, 0, 0, 2, 0, 0, 0, 6, 0], [1, 0, 0, 2, 0, 0, 1, 4, 1], [1, 0, 0, 2, 0, 0, 2, 2, 2], [1, 0, 0, 2, 0, 0, 3, 0, 3], [1, 0, 0, 2, 0, 1, 0, 3, 2], [1, 0, 0, 2, 0, 1, 1, 1, 3], [1, 0, 0, 2, 0, 2, 0, 0, 4], [1, 0, 0, 2, 1, 0, 0, 2, 3], [1, 0, 0, 2, 1, 0, 1, 0, 4], [1, 0, 0, 3, 0, 0, 0, 1, 4], [1, 0, 1, 0, 0, 0, 3, 4, 0], [1, 0, 1, 0, 0, 0, 4, 2, 1], [1, 0, 1, 0, 0, 0, 5, 0, 2], [1, 0, 1, 0, 0, 1, 1, 5, 0], [1, 0, 1, 0, 0, 1, 2, 3, 1], [1, 0, 1, 0, 0, 1, 3, 1, 2], [1, 0, 1, 0, 0, 2, 0, 4, 1], [1, 0, 1, 0, 0, 2, 1, 2, 2], [1, 0, 1, 0, 0, 2, 2, 0, 3], [1, 0, 1, 0, 0, 3, 0, 1, 3], [1, 0, 1, 0, 1, 0, 0, 6, 0], [1, 0, 1, 0, 1, 0, 1, 4, 1], [1, 0, 1, 0, 1, 0, 2, 2, 2], [1, 0, 1, 0, 1, 0, 3, 0, 3], [1, 0, 1, 0, 1, 1, 0, 3, 2], [1, 0, 1, 0, 1, 1, 1, 1, 3], [1, 0, 1, 0, 1, 2, 0, 0, 4], [1, 0, 1, 0, 2, 0, 0, 2, 3], [1, 0, 1, 0, 2, 0, 1, 0, 4], [1, 0, 1, 1, 0, 0, 0, 5, 1], [1, 0, 1, 1, 0, 0, 1, 3, 2], [1, 0, 1, 1, 0, 0, 2, 1, 3], [1, 0, 1, 1, 0, 1, 0, 2, 3], [1, 0, 1, 1, 0, 1, 1, 0, 4], [1, 0, 1, 1, 1, 0, 0, 1, 4], [1, 0, 1, 2, 0, 0, 0, 0, 5], [1, 0, 2, 0, 0, 0, 0, 4, 2], [1, 0, 2, 0, 0, 0, 1, 2, 3], [1, 0, 2, 0, 0, 0, 2, 0, 4], [1, 0, 2, 0, 0, 1, 0, 1, 4], [1, 0, 2, 0, 1, 0, 0, 0, 5], [1, 1, 0, 0, 0, 0, 2, 5, 0], [1, 1, 0, 0, 0, 0, 3, 3, 1], [1, 1, 0, 0, 0, 0, 4, 1, 2], [1, 1, 0, 0, 0, 1, 0, 6, 0], [1, 1, 0, 0, 0, 1, 1, 4, 1], [1, 1, 0, 0, 0, 1, 2, 2, 2], [1, 1, 0, 0, 0, 1, 3, 0, 3], [1, 1, 0, 0, 0, 2, 0, 3, 2], [1, 1, 0, 0, 0, 2, 1, 1, 3], [1, 1, 0, 0, 0, 3, 0, 0, 4], [1, 1, 0, 0, 1, 0, 0, 5, 1], [1, 1, 0, 0, 1, 0, 1, 3, 2], [1, 1, 0, 0, 1, 0, 2, 1, 3], [1, 1, 0, 0, 1, 1, 0, 2, 3], [1, 1, 0, 0, 1, 1, 1, 0, 4], [1, 1, 0, 0, 2, 0, 0, 1, 4], [1, 1, 0, 1, 0, 0, 0, 4, 2], [1, 1, 0, 1, 0, 0, 1, 2, 3], [1, 1, 0, 1, 0, 0, 2, 0, 4], [1, 1, 0, 1, 0, 1, 0, 1, 4], [1, 1, 0, 1, 1, 0, 0, 0, 5], [1, 1, 1, 0, 0, 0, 0, 3, 3], [1, 1, 1, 0, 0, 0, 1, 1, 4], [1, 1, 1, 0, 0, 1, 0, 0, 5], [1, 2, 0, 0, 0, 0, 0, 2, 4], [1, 2, 0, 0, 0, 0, 1, 0, 5], [2, 0, 0, 0, 0, 0, 1, 6, 0], [2, 0, 0, 0, 0, 0, 2, 4, 1], [2, 0, 0, 0, 0, 0, 3, 2, 2], [2, 0, 0, 0, 0, 0, 4, 0, 3], [2, 0, 0, 0, 0, 1, 0, 5, 1], [2, 0, 0, 0, 0, 1, 1, 3, 2], [2, 0, 0, 0, 0, 1, 2, 1, 3], [2, 0, 0, 0, 0, 2, 0, 2, 3], [2, 0, 0, 0, 0, 2, 1, 0, 4], [2, 0, 0, 0, 1, 0, 0, 4, 2], [2, 0, 0, 0, 1, 0, 1, 2, 3], [2, 0, 0, 0, 1, 0, 2, 0, 4], [2, 0, 0, 0, 1, 1, 0, 1, 4], [2, 0, 0, 0, 2, 0, 0, 0, 5], [2, 0, 0, 1, 0, 0, 0, 3, 3], [2, 0, 0, 1, 0, 0, 1, 1, 4], [2, 0, 0, 1, 0, 1, 0, 0, 5], [2, 0, 1, 0, 0, 0, 0, 2, 4], [2, 0, 1, 0, 0, 0, 1, 0, 5], [2, 1, 0, 0, 0, 0, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 0, 6]} (9, 9, 1) has 222 possible DDs: {[1, 0, 0, 0, 0, 0, 2, 6, 0, 0], [1, 0, 0, 0, 0, 0, 3, 4, 1, 0], [1, 0, 0, 0, 0, 0, 4, 2, 2, 0], [1, 0, 0, 0, 0, 0, 4, 3, 0, 1], [1, 0, 0, 0, 0, 0, 5, 0, 3, 0], [1, 0, 0, 0, 0, 0, 5, 1, 1, 1], [1, 0, 0, 0, 0, 0, 6, 0, 0, 2], [1, 0, 0, 0, 0, 1, 0, 7, 0, 0], [1, 0, 0, 0, 0, 1, 1, 5, 1, 0], [1, 0, 0, 0, 0, 1, 2, 3, 2, 0], [1, 0, 0, 0, 0, 1, 2, 4, 0, 1], [1, 0, 0, 0, 0, 1, 3, 1, 3, 0], [1, 0, 0, 0, 0, 1, 3, 2, 1, 1], [1, 0, 0, 0, 0, 1, 4, 0, 2, 1], [1, 0, 0, 0, 0, 1, 4, 1, 0, 2], [1, 0, 0, 0, 0, 2, 0, 4, 2, 0], [1, 0, 0, 0, 0, 2, 0, 5, 0, 1], [1, 0, 0, 0, 0, 2, 1, 2, 3, 0], [1, 0, 0, 0, 0, 2, 1, 3, 1, 1], [1, 0, 0, 0, 0, 2, 2, 0, 4, 0], [1, 0, 0, 0, 0, 2, 2, 1, 2, 1], [1, 0, 0, 0, 0, 2, 2, 2, 0, 2], [1, 0, 0, 0, 0, 2, 3, 0, 1, 2], [1, 0, 0, 0, 0, 3, 0, 1, 4, 0], [1, 0, 0, 0, 0, 3, 0, 2, 2, 1], [1, 0, 0, 0, 0, 3, 0, 3, 0, 2], [1, 0, 0, 0, 0, 3, 1, 0, 3, 1], [1, 0, 0, 0, 0, 3, 1, 1, 1, 2], [1, 0, 0, 0, 0, 3, 2, 0, 0, 3], [1, 0, 0, 0, 0, 4, 0, 0, 2, 2], [1, 0, 0, 0, 0, 4, 0, 1, 0, 3], [1, 0, 0, 0, 1, 0, 0, 6, 1, 0], [1, 0, 0, 0, 1, 0, 1, 4, 2, 0], [1, 0, 0, 0, 1, 0, 1, 5, 0, 1], [1, 0, 0, 0, 1, 0, 2, 2, 3, 0], [1, 0, 0, 0, 1, 0, 2, 3, 1, 1], [1, 0, 0, 0, 1, 0, 3, 0, 4, 0], [1, 0, 0, 0, 1, 0, 3, 1, 2, 1], [1, 0, 0, 0, 1, 0, 3, 2, 0, 2], [1, 0, 0, 0, 1, 0, 4, 0, 1, 2], [1, 0, 0, 0, 1, 1, 0, 3, 3, 0], [1, 0, 0, 0, 1, 1, 0, 4, 1, 1], [1, 0, 0, 0, 1, 1, 1, 1, 4, 0], [1, 0, 0, 0, 1, 1, 1, 2, 2, 1], [1, 0, 0, 0, 1, 1, 1, 3, 0, 2], [1, 0, 0, 0, 1, 1, 2, 0, 3, 1], [1, 0, 0, 0, 1, 1, 2, 1, 1, 2], [1, 0, 0, 0, 1, 1, 3, 0, 0, 3], [1, 0, 0, 0, 1, 2, 0, 0, 5, 0], [1, 0, 0, 0, 1, 2, 0, 1, 3, 1], [1, 0, 0, 0, 1, 2, 0, 2, 1, 2], [1, 0, 0, 0, 1, 2, 1, 0, 2, 2], [1, 0, 0, 0, 1, 2, 1, 1, 0, 3], [1, 0, 0, 0, 1, 3, 0, 0, 1, 3], [1, 0, 0, 0, 2, 0, 0, 2, 4, 0], [1, 0, 0, 0, 2, 0, 0, 3, 2, 1], [1, 0, 0, 0, 2, 0, 0, 4, 0, 2], [1, 0, 0, 0, 2, 0, 1, 0, 5, 0], [1, 0, 0, 0, 2, 0, 1, 1, 3, 1], [1, 0, 0, 0, 2, 0, 1, 2, 1, 2], [1, 0, 0, 0, 2, 0, 2, 0, 2, 2], [1, 0, 0, 0, 2, 0, 2, 1, 0, 3], [1, 0, 0, 0, 2, 1, 0, 0, 4, 1], [1, 0, 0, 0, 2, 1, 0, 1, 2, 2], [1, 0, 0, 0, 2, 1, 0, 2, 0, 3], [1, 0, 0, 0, 2, 1, 1, 0, 1, 3], [1, 0, 0, 0, 2, 2, 0, 0, 0, 4], [1, 0, 0, 0, 3, 0, 0, 0, 3, 2], [1, 0, 0, 0, 3, 0, 0, 1, 1, 3], [1, 0, 0, 0, 3, 0, 1, 0, 0, 4], [1, 0, 0, 1, 0, 0, 0, 5, 2, 0], [1, 0, 0, 1, 0, 0, 0, 6, 0, 1], [1, 0, 0, 1, 0, 0, 1, 3, 3, 0], [1, 0, 0, 1, 0, 0, 1, 4, 1, 1], [1, 0, 0, 1, 0, 0, 2, 1, 4, 0], [1, 0, 0, 1, 0, 0, 2, 2, 2, 1], [1, 0, 0, 1, 0, 0, 2, 3, 0, 2], [1, 0, 0, 1, 0, 0, 3, 0, 3, 1], [1, 0, 0, 1, 0, 0, 3, 1, 1, 2], [1, 0, 0, 1, 0, 0, 4, 0, 0, 3], [1, 0, 0, 1, 0, 1, 0, 2, 4, 0], [1, 0, 0, 1, 0, 1, 0, 3, 2, 1], [1, 0, 0, 1, 0, 1, 0, 4, 0, 2], [1, 0, 0, 1, 0, 1, 1, 0, 5, 0], [1, 0, 0, 1, 0, 1, 1, 1, 3, 1], [1, 0, 0, 1, 0, 1, 1, 2, 1, 2], [1, 0, 0, 1, 0, 1, 2, 0, 2, 2], [1, 0, 0, 1, 0, 1, 2, 1, 0, 3], [1, 0, 0, 1, 0, 2, 0, 0, 4, 1], [1, 0, 0, 1, 0, 2, 0, 1, 2, 2], [1, 0, 0, 1, 0, 2, 0, 2, 0, 3], [1, 0, 0, 1, 0, 2, 1, 0, 1, 3], [1, 0, 0, 1, 0, 3, 0, 0, 0, 4], [1, 0, 0, 1, 1, 0, 0, 1, 5, 0], [1, 0, 0, 1, 1, 0, 0, 2, 3, 1], [1, 0, 0, 1, 1, 0, 0, 3, 1, 2], [1, 0, 0, 1, 1, 0, 1, 0, 4, 1], [1, 0, 0, 1, 1, 0, 1, 1, 2, 2], [1, 0, 0, 1, 1, 0, 1, 2, 0, 3], [1, 0, 0, 1, 1, 0, 2, 0, 1, 3], [1, 0, 0, 1, 1, 1, 0, 0, 3, 2], [1, 0, 0, 1, 1, 1, 0, 1, 1, 3], [1, 0, 0, 1, 1, 1, 1, 0, 0, 4], [1, 0, 0, 1, 2, 0, 0, 0, 2, 3], [1, 0, 0, 1, 2, 0, 0, 1, 0, 4], [1, 0, 0, 2, 0, 0, 0, 0, 6, 0], [1, 0, 0, 2, 0, 0, 0, 1, 4, 1], [1, 0, 0, 2, 0, 0, 0, 2, 2, 2], [1, 0, 0, 2, 0, 0, 0, 3, 0, 3], [1, 0, 0, 2, 0, 0, 1, 0, 3, 2], [1, 0, 0, 2, 0, 0, 1, 1, 1, 3], [1, 0, 0, 2, 0, 0, 2, 0, 0, 4], [1, 0, 0, 2, 0, 1, 0, 0, 2, 3], [1, 0, 0, 2, 0, 1, 0, 1, 0, 4], [1, 0, 0, 2, 1, 0, 0, 0, 1, 4], [1, 0, 0, 3, 0, 0, 0, 0, 0, 5], [1, 0, 1, 0, 0, 0, 0, 4, 3, 0], [1, 0, 1, 0, 0, 0, 0, 5, 1, 1], [1, 0, 1, 0, 0, 0, 1, 2, 4, 0], [1, 0, 1, 0, 0, 0, 1, 3, 2, 1], [1, 0, 1, 0, 0, 0, 1, 4, 0, 2], [1, 0, 1, 0, 0, 0, 2, 0, 5, 0], [1, 0, 1, 0, 0, 0, 2, 1, 3, 1], [1, 0, 1, 0, 0, 0, 2, 2, 1, 2], [1, 0, 1, 0, 0, 0, 3, 0, 2, 2], [1, 0, 1, 0, 0, 0, 3, 1, 0, 3], [1, 0, 1, 0, 0, 1, 0, 1, 5, 0], [1, 0, 1, 0, 0, 1, 0, 2, 3, 1], [1, 0, 1, 0, 0, 1, 0, 3, 1, 2], [1, 0, 1, 0, 0, 1, 1, 0, 4, 1], [1, 0, 1, 0, 0, 1, 1, 1, 2, 2], [1, 0, 1, 0, 0, 1, 1, 2, 0, 3], [1, 0, 1, 0, 0, 1, 2, 0, 1, 3], [1, 0, 1, 0, 0, 2, 0, 0, 3, 2], [1, 0, 1, 0, 0, 2, 0, 1, 1, 3], [1, 0, 1, 0, 0, 2, 1, 0, 0, 4], [1, 0, 1, 0, 1, 0, 0, 0, 6, 0], [1, 0, 1, 0, 1, 0, 0, 1, 4, 1], [1, 0, 1, 0, 1, 0, 0, 2, 2, 2], [1, 0, 1, 0, 1, 0, 0, 3, 0, 3], [1, 0, 1, 0, 1, 0, 1, 0, 3, 2], [1, 0, 1, 0, 1, 0, 1, 1, 1, 3], [1, 0, 1, 0, 1, 0, 2, 0, 0, 4], [1, 0, 1, 0, 1, 1, 0, 0, 2, 3], [1, 0, 1, 0, 1, 1, 0, 1, 0, 4], [1, 0, 1, 0, 2, 0, 0, 0, 1, 4], [1, 0, 1, 1, 0, 0, 0, 0, 5, 1], [1, 0, 1, 1, 0, 0, 0, 1, 3, 2], [1, 0, 1, 1, 0, 0, 0, 2, 1, 3], [1, 0, 1, 1, 0, 0, 1, 0, 2, 3], [1, 0, 1, 1, 0, 0, 1, 1, 0, 4], [1, 0, 1, 1, 0, 1, 0, 0, 1, 4], [1, 0, 1, 1, 1, 0, 0, 0, 0, 5], [1, 0, 2, 0, 0, 0, 0, 0, 4, 2], [1, 0, 2, 0, 0, 0, 0, 1, 2, 3], [1, 0, 2, 0, 0, 0, 0, 2, 0, 4], [1, 0, 2, 0, 0, 0, 1, 0, 1, 4], [1, 0, 2, 0, 0, 1, 0, 0, 0, 5], [1, 1, 0, 0, 0, 0, 0, 3, 4, 0], [1, 1, 0, 0, 0, 0, 0, 4, 2, 1], [1, 1, 0, 0, 0, 0, 0, 5, 0, 2], [1, 1, 0, 0, 0, 0, 1, 1, 5, 0], [1, 1, 0, 0, 0, 0, 1, 2, 3, 1], [1, 1, 0, 0, 0, 0, 1, 3, 1, 2], [1, 1, 0, 0, 0, 0, 2, 0, 4, 1], [1, 1, 0, 0, 0, 0, 2, 1, 2, 2], [1, 1, 0, 0, 0, 0, 2, 2, 0, 3], [1, 1, 0, 0, 0, 0, 3, 0, 1, 3], [1, 1, 0, 0, 0, 1, 0, 0, 6, 0], [1, 1, 0, 0, 0, 1, 0, 1, 4, 1], [1, 1, 0, 0, 0, 1, 0, 2, 2, 2], [1, 1, 0, 0, 0, 1, 0, 3, 0, 3], [1, 1, 0, 0, 0, 1, 1, 0, 3, 2], [1, 1, 0, 0, 0, 1, 1, 1, 1, 3], [1, 1, 0, 0, 0, 1, 2, 0, 0, 4], [1, 1, 0, 0, 0, 2, 0, 0, 2, 3], [1, 1, 0, 0, 0, 2, 0, 1, 0, 4], [1, 1, 0, 0, 1, 0, 0, 0, 5, 1], [1, 1, 0, 0, 1, 0, 0, 1, 3, 2], [1, 1, 0, 0, 1, 0, 0, 2, 1, 3], [1, 1, 0, 0, 1, 0, 1, 0, 2, 3], [1, 1, 0, 0, 1, 0, 1, 1, 0, 4], [1, 1, 0, 0, 1, 1, 0, 0, 1, 4], [1, 1, 0, 0, 2, 0, 0, 0, 0, 5], [1, 1, 0, 1, 0, 0, 0, 0, 4, 2], [1, 1, 0, 1, 0, 0, 0, 1, 2, 3], [1, 1, 0, 1, 0, 0, 0, 2, 0, 4], [1, 1, 0, 1, 0, 0, 1, 0, 1, 4], [1, 1, 0, 1, 0, 1, 0, 0, 0, 5], [1, 1, 1, 0, 0, 0, 0, 0, 3, 3], [1, 1, 1, 0, 0, 0, 0, 1, 1, 4], [1, 1, 1, 0, 0, 0, 1, 0, 0, 5], [1, 2, 0, 0, 0, 0, 0, 0, 2, 4], [1, 2, 0, 0, 0, 0, 0, 1, 0, 5], [2, 0, 0, 0, 0, 0, 0, 2, 5, 0], [2, 0, 0, 0, 0, 0, 0, 3, 3, 1], [2, 0, 0, 0, 0, 0, 0, 4, 1, 2], [2, 0, 0, 0, 0, 0, 1, 0, 6, 0], [2, 0, 0, 0, 0, 0, 1, 1, 4, 1], [2, 0, 0, 0, 0, 0, 1, 2, 2, 2], [2, 0, 0, 0, 0, 0, 1, 3, 0, 3], [2, 0, 0, 0, 0, 0, 2, 0, 3, 2], [2, 0, 0, 0, 0, 0, 2, 1, 1, 3], [2, 0, 0, 0, 0, 0, 3, 0, 0, 4], [2, 0, 0, 0, 0, 1, 0, 0, 5, 1], [2, 0, 0, 0, 0, 1, 0, 1, 3, 2], [2, 0, 0, 0, 0, 1, 0, 2, 1, 3], [2, 0, 0, 0, 0, 1, 1, 0, 2, 3], [2, 0, 0, 0, 0, 1, 1, 1, 0, 4], [2, 0, 0, 0, 0, 2, 0, 0, 1, 4], [2, 0, 0, 0, 1, 0, 0, 0, 4, 2], [2, 0, 0, 0, 1, 0, 0, 1, 2, 3], [2, 0, 0, 0, 1, 0, 0, 2, 0, 4], [2, 0, 0, 0, 1, 0, 1, 0, 1, 4], [2, 0, 0, 0, 1, 1, 0, 0, 0, 5], [2, 0, 0, 1, 0, 0, 0, 0, 3, 3], [2, 0, 0, 1, 0, 0, 0, 1, 1, 4], [2, 0, 0, 1, 0, 0, 1, 0, 0, 5], [2, 0, 1, 0, 0, 0, 0, 0, 2, 4], [2, 0, 1, 0, 0, 0, 0, 1, 0, 5], [2, 1, 0, 0, 0, 0, 0, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 0, 0, 6]} (10, 9, 1) has 340 possible DDs: {[1, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [1, 0, 0, 0, 0, 0, 0, 5, 2, 1, 0], [1, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0], [1, 0, 0, 0, 0, 0, 0, 6, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 2, 5, 0, 0], [1, 0, 0, 0, 0, 0, 1, 3, 3, 1, 0], [1, 0, 0, 0, 0, 0, 1, 4, 1, 2, 0], [1, 0, 0, 0, 0, 0, 1, 4, 2, 0, 1], [1, 0, 0, 0, 0, 0, 1, 5, 0, 1, 1], [1, 0, 0, 0, 0, 0, 2, 0, 6, 0, 0], [1, 0, 0, 0, 0, 0, 2, 1, 4, 1, 0], [1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0], [1, 0, 0, 0, 0, 0, 2, 2, 3, 0, 1], [1, 0, 0, 0, 0, 0, 2, 3, 0, 3, 0], [1, 0, 0, 0, 0, 0, 2, 3, 1, 1, 1], [1, 0, 0, 0, 0, 0, 2, 4, 0, 0, 2], [1, 0, 0, 0, 0, 0, 3, 0, 3, 2, 0], [1, 0, 0, 0, 0, 0, 3, 0, 4, 0, 1], [1, 0, 0, 0, 0, 0, 3, 1, 1, 3, 0], [1, 0, 0, 0, 0, 0, 3, 1, 2, 1, 1], [1, 0, 0, 0, 0, 0, 3, 2, 0, 2, 1], [1, 0, 0, 0, 0, 0, 3, 2, 1, 0, 2], [1, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0], [1, 0, 0, 0, 0, 0, 4, 0, 1, 2, 1], [1, 0, 0, 0, 0, 0, 4, 0, 2, 0, 2], [1, 0, 0, 0, 0, 0, 4, 1, 0, 1, 2], [1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 3], [1, 0, 0, 0, 0, 1, 0, 1, 6, 0, 0], [1, 0, 0, 0, 0, 1, 0, 2, 4, 1, 0], [1, 0, 0, 0, 0, 1, 0, 3, 2, 2, 0], [1, 0, 0, 0, 0, 1, 0, 3, 3, 0, 1], [1, 0, 0, 0, 0, 1, 0, 4, 0, 3, 0], [1, 0, 0, 0, 0, 1, 0, 4, 1, 1, 1], [1, 0, 0, 0, 0, 1, 0, 5, 0, 0, 2], [1, 0, 0, 0, 0, 1, 1, 0, 5, 1, 0], [1, 0, 0, 0, 0, 1, 1, 1, 3, 2, 0], [1, 0, 0, 0, 0, 1, 1, 1, 4, 0, 1], [1, 0, 0, 0, 0, 1, 1, 2, 1, 3, 0], [1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1], [1, 0, 0, 0, 0, 1, 1, 3, 0, 2, 1], [1, 0, 0, 0, 0, 1, 1, 3, 1, 0, 2], [1, 0, 0, 0, 0, 1, 2, 0, 2, 3, 0], [1, 0, 0, 0, 0, 1, 2, 0, 3, 1, 1], [1, 0, 0, 0, 0, 1, 2, 1, 0, 4, 0], [1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1], [1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2], [1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2], [1, 0, 0, 0, 0, 1, 3, 0, 0, 3, 1], [1, 0, 0, 0, 0, 1, 3, 0, 1, 1, 2], [1, 0, 0, 0, 0, 1, 3, 1, 0, 0, 3], [1, 0, 0, 0, 0, 2, 0, 0, 4, 2, 0], [1, 0, 0, 0, 0, 2, 0, 0, 5, 0, 1], [1, 0, 0, 0, 0, 2, 0, 1, 2, 3, 0], [1, 0, 0, 0, 0, 2, 0, 1, 3, 1, 1], [1, 0, 0, 0, 0, 2, 0, 2, 0, 4, 0], [1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1], [1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2], [1, 0, 0, 0, 0, 2, 0, 3, 0, 1, 2], [1, 0, 0, 0, 0, 2, 1, 0, 1, 4, 0], [1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1], [1, 0, 0, 0, 0, 2, 1, 0, 3, 0, 2], [1, 0, 0, 0, 0, 2, 1, 1, 0, 3, 1], [1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2], [1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 3], [1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 3], [1, 0, 0, 0, 0, 3, 0, 0, 0, 5, 0], [1, 0, 0, 0, 0, 3, 0, 0, 1, 3, 1], [1, 0, 0, 0, 0, 3, 0, 0, 2, 1, 2], [1, 0, 0, 0, 0, 3, 0, 1, 0, 2, 2], [1, 0, 0, 0, 0, 3, 0, 1, 1, 0, 3], [1, 0, 0, 0, 0, 3, 1, 0, 0, 1, 3], [1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [1, 0, 0, 0, 1, 0, 0, 0, 7, 0, 0], [1, 0, 0, 0, 1, 0, 0, 1, 5, 1, 0], [1, 0, 0, 0, 1, 0, 0, 2, 3, 2, 0], [1, 0, 0, 0, 1, 0, 0, 2, 4, 0, 1], [1, 0, 0, 0, 1, 0, 0, 3, 1, 3, 0], [1, 0, 0, 0, 1, 0, 0, 3, 2, 1, 1], [1, 0, 0, 0, 1, 0, 0, 4, 0, 2, 1], [1, 0, 0, 0, 1, 0, 0, 4, 1, 0, 2], [1, 0, 0, 0, 1, 0, 1, 0, 4, 2, 0], [1, 0, 0, 0, 1, 0, 1, 0, 5, 0, 1], [1, 0, 0, 0, 1, 0, 1, 1, 2, 3, 0], [1, 0, 0, 0, 1, 0, 1, 1, 3, 1, 1], [1, 0, 0, 0, 1, 0, 1, 2, 0, 4, 0], [1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1], [1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2], [1, 0, 0, 0, 1, 0, 1, 3, 0, 1, 2], [1, 0, 0, 0, 1, 0, 2, 0, 1, 4, 0], [1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1], [1, 0, 0, 0, 1, 0, 2, 0, 3, 0, 2], [1, 0, 0, 0, 1, 0, 2, 1, 0, 3, 1], [1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2], [1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 3], [1, 0, 0, 0, 1, 0, 3, 0, 0, 2, 2], [1, 0, 0, 0, 1, 0, 3, 0, 1, 0, 3], [1, 0, 0, 0, 1, 1, 0, 0, 3, 3, 0], [1, 0, 0, 0, 1, 1, 0, 0, 4, 1, 1], [1, 0, 0, 0, 1, 1, 0, 1, 1, 4, 0], [1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1], [1, 0, 0, 0, 1, 1, 0, 1, 3, 0, 2], [1, 0, 0, 0, 1, 1, 0, 2, 0, 3, 1], [1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2], [1, 0, 0, 0, 1, 1, 0, 3, 0, 0, 3], [1, 0, 0, 0, 1, 1, 1, 0, 0, 5, 0], [1, 0, 0, 0, 1, 1, 1, 0, 1, 3, 1], [1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2], [1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2], [1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 3], [1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 3], [1, 0, 0, 0, 1, 2, 0, 0, 0, 4, 1], [1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2], [1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 3], [1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 3], [1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 4], [1, 0, 0, 0, 2, 0, 0, 0, 2, 4, 0], [1, 0, 0, 0, 2, 0, 0, 0, 3, 2, 1], [1, 0, 0, 0, 2, 0, 0, 0, 4, 0, 2], [1, 0, 0, 0, 2, 0, 0, 1, 0, 5, 0], [1, 0, 0, 0, 2, 0, 0, 1, 1, 3, 1], [1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2], [1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2], [1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 3], [1, 0, 0, 0, 2, 0, 1, 0, 0, 4, 1], [1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2], [1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 3], [1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 3], [1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 4], [1, 0, 0, 0, 2, 1, 0, 0, 0, 3, 2], [1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 3], [1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 4], [1, 0, 0, 0, 3, 0, 0, 0, 0, 2, 3], [1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 4], [1, 0, 0, 1, 0, 0, 0, 0, 6, 1, 0], [1, 0, 0, 1, 0, 0, 0, 1, 4, 2, 0], [1, 0, 0, 1, 0, 0, 0, 1, 5, 0, 1], [1, 0, 0, 1, 0, 0, 0, 2, 2, 3, 0], [1, 0, 0, 1, 0, 0, 0, 2, 3, 1, 1], [1, 0, 0, 1, 0, 0, 0, 3, 0, 4, 0], [1, 0, 0, 1, 0, 0, 0, 3, 1, 2, 1], [1, 0, 0, 1, 0, 0, 0, 3, 2, 0, 2], [1, 0, 0, 1, 0, 0, 0, 4, 0, 1, 2], [1, 0, 0, 1, 0, 0, 1, 0, 3, 3, 0], [1, 0, 0, 1, 0, 0, 1, 0, 4, 1, 1], [1, 0, 0, 1, 0, 0, 1, 1, 1, 4, 0], [1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1], [1, 0, 0, 1, 0, 0, 1, 1, 3, 0, 2], [1, 0, 0, 1, 0, 0, 1, 2, 0, 3, 1], [1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2], [1, 0, 0, 1, 0, 0, 1, 3, 0, 0, 3], [1, 0, 0, 1, 0, 0, 2, 0, 0, 5, 0], [1, 0, 0, 1, 0, 0, 2, 0, 1, 3, 1], [1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2], [1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2], [1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 3], [1, 0, 0, 1, 0, 0, 3, 0, 0, 1, 3], [1, 0, 0, 1, 0, 1, 0, 0, 2, 4, 0], [1, 0, 0, 1, 0, 1, 0, 0, 3, 2, 1], [1, 0, 0, 1, 0, 1, 0, 0, 4, 0, 2], [1, 0, 0, 1, 0, 1, 0, 1, 0, 5, 0], [1, 0, 0, 1, 0, 1, 0, 1, 1, 3, 1], [1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2], [1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2], [1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 3], [1, 0, 0, 1, 0, 1, 1, 0, 0, 4, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2], [1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 3], [1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 3], [1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 4], [1, 0, 0, 1, 0, 2, 0, 0, 0, 3, 2], [1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 3], [1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 4], [1, 0, 0, 1, 1, 0, 0, 0, 1, 5, 0], [1, 0, 0, 1, 1, 0, 0, 0, 2, 3, 1], [1, 0, 0, 1, 1, 0, 0, 0, 3, 1, 2], [1, 0, 0, 1, 1, 0, 0, 1, 0, 4, 1], [1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2], [1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 3], [1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 3], [1, 0, 0, 1, 1, 0, 1, 0, 0, 3, 2], [1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 3], [1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 4], [1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 3], [1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 4], [1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 4], [1, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0], [1, 0, 0, 2, 0, 0, 0, 0, 1, 4, 1], [1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2], [1, 0, 0, 2, 0, 0, 0, 0, 3, 0, 3], [1, 0, 0, 2, 0, 0, 0, 1, 0, 3, 2], [1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 3], [1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 4], [1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 3], [1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 4], [1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 4], [1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 5], [1, 0, 1, 0, 0, 0, 0, 0, 5, 2, 0], [1, 0, 1, 0, 0, 0, 0, 0, 6, 0, 1], [1, 0, 1, 0, 0, 0, 0, 1, 3, 3, 0], [1, 0, 1, 0, 0, 0, 0, 1, 4, 1, 1], [1, 0, 1, 0, 0, 0, 0, 2, 1, 4, 0], [1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1], [1, 0, 1, 0, 0, 0, 0, 2, 3, 0, 2], [1, 0, 1, 0, 0, 0, 0, 3, 0, 3, 1], [1, 0, 1, 0, 0, 0, 0, 3, 1, 1, 2], [1, 0, 1, 0, 0, 0, 0, 4, 0, 0, 3], [1, 0, 1, 0, 0, 0, 1, 0, 2, 4, 0], [1, 0, 1, 0, 0, 0, 1, 0, 3, 2, 1], [1, 0, 1, 0, 0, 0, 1, 0, 4, 0, 2], [1, 0, 1, 0, 0, 0, 1, 1, 0, 5, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 3, 1], [1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2], [1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2], [1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 3], [1, 0, 1, 0, 0, 0, 2, 0, 0, 4, 1], [1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2], [1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 3], [1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 3], [1, 0, 1, 0, 0, 0, 3, 0, 0, 0, 4], [1, 0, 1, 0, 0, 1, 0, 0, 1, 5, 0], [1, 0, 1, 0, 0, 1, 0, 0, 2, 3, 1], [1, 0, 1, 0, 0, 1, 0, 0, 3, 1, 2], [1, 0, 1, 0, 0, 1, 0, 1, 0, 4, 1], [1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2], [1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 3], [1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 3], [1, 0, 1, 0, 0, 1, 1, 0, 0, 3, 2], [1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 3], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 4], [1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 3], [1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 4], [1, 0, 1, 0, 1, 0, 0, 0, 0, 6, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 4, 1], [1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2], [1, 0, 1, 0, 1, 0, 0, 0, 3, 0, 3], [1, 0, 1, 0, 1, 0, 0, 1, 0, 3, 2], [1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 3], [1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 4], [1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 3], [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 4], [1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 4], [1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 5], [1, 0, 1, 1, 0, 0, 0, 0, 0, 5, 1], [1, 0, 1, 1, 0, 0, 0, 0, 1, 3, 2], [1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 3], [1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 3], [1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 4], [1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 4], [1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 5], [1, 0, 2, 0, 0, 0, 0, 0, 0, 4, 2], [1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 3], [1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 4], [1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 4], [1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 5], [1, 1, 0, 0, 0, 0, 0, 0, 4, 3, 0], [1, 1, 0, 0, 0, 0, 0, 0, 5, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 0], [1, 1, 0, 0, 0, 0, 0, 1, 3, 2, 1], [1, 1, 0, 0, 0, 0, 0, 1, 4, 0, 2], [1, 1, 0, 0, 0, 0, 0, 2, 0, 5, 0], [1, 1, 0, 0, 0, 0, 0, 2, 1, 3, 1], [1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2], [1, 1, 0, 0, 0, 0, 0, 3, 0, 2, 2], [1, 1, 0, 0, 0, 0, 0, 3, 1, 0, 3], [1, 1, 0, 0, 0, 0, 1, 0, 1, 5, 0], [1, 1, 0, 0, 0, 0, 1, 0, 2, 3, 1], [1, 1, 0, 0, 0, 0, 1, 0, 3, 1, 2], [1, 1, 0, 0, 0, 0, 1, 1, 0, 4, 1], [1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2], [1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 3], [1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 3], [1, 1, 0, 0, 0, 0, 2, 0, 0, 3, 2], [1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 3], [1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 4], [1, 1, 0, 0, 0, 1, 0, 0, 0, 6, 0], [1, 1, 0, 0, 0, 1, 0, 0, 1, 4, 1], [1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2], [1, 1, 0, 0, 0, 1, 0, 0, 3, 0, 3], [1, 1, 0, 0, 0, 1, 0, 1, 0, 3, 2], [1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 3], [1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 4], [1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 3], [1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 4], [1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 4], [1, 1, 0, 0, 1, 0, 0, 0, 0, 5, 1], [1, 1, 0, 0, 1, 0, 0, 0, 1, 3, 2], [1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 3], [1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 3], [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 4], [1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 4], [1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 5], [1, 1, 0, 1, 0, 0, 0, 0, 0, 4, 2], [1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 3], [1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 4], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 4], [1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 5], [1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3], [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 4], [1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 5], [1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 4], [1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 5], [2, 0, 0, 0, 0, 0, 0, 0, 3, 4, 0], [2, 0, 0, 0, 0, 0, 0, 0, 4, 2, 1], [2, 0, 0, 0, 0, 0, 0, 0, 5, 0, 2], [2, 0, 0, 0, 0, 0, 0, 1, 1, 5, 0], [2, 0, 0, 0, 0, 0, 0, 1, 2, 3, 1], [2, 0, 0, 0, 0, 0, 0, 1, 3, 1, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 4, 1], [2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3], [2, 0, 0, 0, 0, 0, 0, 3, 0, 1, 3], [2, 0, 0, 0, 0, 0, 1, 0, 0, 6, 0], [2, 0, 0, 0, 0, 0, 1, 0, 1, 4, 1], [2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 1, 0, 3, 0, 3], [2, 0, 0, 0, 0, 0, 1, 1, 0, 3, 2], [2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3], [2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 4], [2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3], [2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 4], [2, 0, 0, 0, 0, 1, 0, 0, 0, 5, 1], [2, 0, 0, 0, 0, 1, 0, 0, 1, 3, 2], [2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 3], [2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 3], [2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 4], [2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 4], [2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 5], [2, 0, 0, 0, 1, 0, 0, 0, 0, 4, 2], [2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 3], [2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 4], [2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 4], [2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 5], [2, 0, 0, 1, 0, 0, 0, 0, 0, 3, 3], [2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 4], [2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 5], [2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 4], [2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 5], [2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6]} (11, 9, 1) has 506 possible DDs: {[1, 0, 0, 0, 0, 0, 0, 0, 6, 2, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 7, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 4, 3, 0, 0], [1, 0, 0, 0, 0, 0, 0, 1, 5, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, 2, 2, 4, 0, 0], [1, 0, 0, 0, 0, 0, 0, 2, 3, 2, 1, 0], [1, 0, 0, 0, 0, 0, 0, 2, 4, 0, 2, 0], [1, 0, 0, 0, 0, 0, 0, 2, 4, 1, 0, 1], [1, 0, 0, 0, 0, 0, 0, 3, 0, 5, 0, 0], [1, 0, 0, 0, 0, 0, 0, 3, 1, 3, 1, 0], [1, 0, 0, 0, 0, 0, 0, 3, 2, 1, 2, 0], [1, 0, 0, 0, 0, 0, 0, 3, 2, 2, 0, 1], [1, 0, 0, 0, 0, 0, 0, 3, 3, 0, 1, 1], [1, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0], [1, 0, 0, 0, 0, 0, 0, 4, 0, 3, 0, 1], [1, 0, 0, 0, 0, 0, 0, 4, 1, 0, 3, 0], [1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 4, 2, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 5, 0, 0, 2, 1], [1, 0, 0, 0, 0, 0, 0, 5, 0, 1, 0, 2], [1, 0, 0, 0, 0, 0, 1, 0, 3, 4, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 4, 2, 1, 0], [1, 0, 0, 0, 0, 0, 1, 0, 5, 0, 2, 0], [1, 0, 0, 0, 0, 0, 1, 0, 5, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 1, 1, 5, 0, 0], [1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 1, 0], [1, 0, 0, 0, 0, 0, 1, 1, 3, 1, 2, 0], [1, 0, 0, 0, 0, 0, 1, 1, 3, 2, 0, 1], [1, 0, 0, 0, 0, 0, 1, 1, 4, 0, 1, 1], [1, 0, 0, 0, 0, 0, 1, 2, 0, 4, 1, 0], [1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0], [1, 0, 0, 0, 0, 0, 1, 2, 1, 3, 0, 1], [1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 3, 0], [1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1], [1, 0, 0, 0, 0, 0, 1, 2, 3, 0, 0, 2], [1, 0, 0, 0, 0, 0, 1, 3, 0, 1, 3, 0], [1, 0, 0, 0, 0, 0, 1, 3, 0, 2, 1, 1], [1, 0, 0, 0, 0, 0, 1, 3, 1, 0, 2, 1], [1, 0, 0, 0, 0, 0, 1, 3, 1, 1, 0, 2], [1, 0, 0, 0, 0, 0, 1, 4, 0, 0, 1, 2], [1, 0, 0, 0, 0, 0, 2, 0, 0, 6, 0, 0], [1, 0, 0, 0, 0, 0, 2, 0, 1, 4, 1, 0], [1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [1, 0, 0, 0, 0, 0, 2, 0, 2, 3, 0, 1], [1, 0, 0, 0, 0, 0, 2, 0, 3, 0, 3, 0], [1, 0, 0, 0, 0, 0, 2, 0, 3, 1, 1, 1], [1, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 2], [1, 0, 0, 0, 0, 0, 2, 1, 0, 3, 2, 0], [1, 0, 0, 0, 0, 0, 2, 1, 0, 4, 0, 1], [1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 0], [1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1], [1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1], [1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2], [1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 0], [1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 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0, 0, 1, 0, 1, 0, 5, 0], [1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 3, 1], [1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2], [1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2], [1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 3], [1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 4, 1], [1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2], [1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 3], [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 3], [1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 4], [1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 3, 2], [1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 3], [1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 4], [1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 5, 0], [1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 3, 1], [1, 0, 1, 0, 0, 1, 0, 0, 0, 3, 1, 2], [1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 4, 1], [1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2], [1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 3], [1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 3], [1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 3, 2], [1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 3], [1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 4], [1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 3], [1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 4], [1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 4], [1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 6, 0], [1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 4, 1], [1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2], [1, 0, 1, 0, 1, 0, 0, 0, 0, 3, 0, 3], [1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 3, 2], [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 3], [1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 4], [1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 3], [1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 4], [1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 4], [1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 5], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 5, 1], [1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 3, 2], [1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 3], [1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 3], [1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 4], [1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 4], [1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 5], [1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 2], [1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 3], [1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 4], [1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 4], [1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 5], [1, 1, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 1], [1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 3, 0], [1, 1, 0, 0, 0, 0, 0, 0, 1, 4, 1, 1], [1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 4, 0], [1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1], [1, 1, 0, 0, 0, 0, 0, 0, 2, 3, 0, 2], [1, 1, 0, 0, 0, 0, 0, 0, 3, 0, 3, 1], [1, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 2], [1, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 3], [1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 4, 0], [1, 1, 0, 0, 0, 0, 0, 1, 0, 3, 2, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 4, 0, 2], [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 5, 0], [1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1], [1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2], [1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2], [1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 3], [1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 4, 1], [1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2], [1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 3], [1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 3], [1, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 4], [1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 5, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 3, 1], [1, 1, 0, 0, 0, 0, 1, 0, 0, 3, 1, 2], [1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 4, 1], [1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2], [1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 3], [1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 3], [1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 3, 2], [1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 3], [1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 4], [1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 3], [1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 4], [1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 6, 0], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4, 1], [1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2], [1, 1, 0, 0, 0, 1, 0, 0, 0, 3, 0, 3], [1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 3, 2], [1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 3], [1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 4], [1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 3], [1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 4], [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 4], [1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 5], [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 5, 1], [1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 3, 2], [1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 3], [1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 3], [1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 4], [1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 4], [1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 5], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 4, 2], [1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 3], [1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 4], [1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 4], [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 5], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 3], [1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 4], [1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 5], [1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4], [1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5], [2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 3, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 1, 1], [2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 0], [2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2, 1], [2, 0, 0, 0, 0, 0, 0, 0, 1, 4, 0, 2], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 5, 0], [2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 1], [2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2], [2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 3], [2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 5, 0], [2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 3, 1], [2, 0, 0, 0, 0, 0, 0, 1, 0, 3, 1, 2], [2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 4, 1], [2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2], [2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 3], [2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 3], [2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 3], [2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 4], [2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0], [2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 4, 1], [2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 3], [2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 3, 2], [2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 3], [2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 4], [2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 3], [2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 4], [2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 4], [2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 5, 1], [2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 2], [2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 3], [2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 3], [2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 4], [2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 4], [2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 5], [2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 2], [2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 3], [2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 4], [2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 4], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 5], [2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 3], [2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 4], [2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 5], [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4], [2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 5], [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6]} (12, 9, 1) has 738 possible DDs: {[1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 1, 6, 1, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 2, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 2, 5, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 3, 2, 3, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 3, 4, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 4, 1, 2, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0, 2, 0], [1, 0, 0, 0, 0, 0, 0, 0, 4, 2, 1, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 5, 0, 1, 2, 0], [1, 0, 0, 0, 0, 0, 0, 0, 5, 0, 2, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 5, 1, 0, 1, 1], [1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 1, 0, 5, 2, 0, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 6, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 0, 0], [1, 0, 0, 0, 0, 0, 0, 1, 1, 4, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 1, 5, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 4, 0, 0], [1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 0, 2, 0], [1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 1, 0, 1], [1, 0, 0, 0, 0, 0, 0, 1, 3, 0, 3, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 3, 1, 1, 2, 0], [1, 0, 0, 0, 0, 0, 0, 1, 3, 1, 2, 0, 1], [1, 0, 0, 0, 0, 0, 0, 1, 3, 2, 0, 1, 1], [1, 0, 0, 0, 0, 0, 0, 1, 4, 0, 0, 3, 0], [1, 0, 0, 0, 0, 0, 0, 1, 4, 0, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 1, 4, 1, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 4, 0, 0], [1, 0, 0, 0, 0, 0, 0, 2, 0, 3, 2, 1, 0], [1, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0, 2, 0], [1, 0, 0, 0, 0, 0, 0, 2, 0, 4, 1, 0, 1], [1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 5, 0, 0], [1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 3, 1, 0], [1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0], [1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1], [1, 0, 0, 0, 0, 0, 0, 2, 1, 3, 0, 1, 1], [1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0], [1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 0, 1], [1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 3, 0], [1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 2, 1], [1, 0, 0, 0, 0, 0, 0, 2, 3, 0, 1, 0, 2], [1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 4, 1, 0], [1, 0, 0, 0, 0, 0, 0, 3, 0, 1, 2, 2, 0], [1, 0, 0, 0, 0, 0, 0, 3, 0, 1, 3, 0, 1], [1, 0, 0, 0, 0, 0, 0, 3, 0, 2, 0, 3, 0], [1, 0, 0, 0, 0, 0, 0, 3, 0, 2, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 2], [1, 0, 0, 0, 0, 0, 0, 3, 1, 0, 1, 3, 0], [1, 0, 0, 0, 0, 0, 0, 3, 1, 0, 2, 1, 1], [1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 0, 2, 1], [1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 0, 2], [1, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 1, 2], [1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0], [1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 2, 1], [1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 2], [1, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0, 1, 2], [1, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 3], [1, 0, 0, 0, 0, 0, 1, 0, 0, 4, 3, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 5, 1, 1, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 6, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 4, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 1, 3, 2, 1, 0], [1, 0, 0, 0, 0, 0, 1, 0, 1, 4, 0, 2, 0], [1, 0, 0, 0, 0, 0, 1, 0, 1, 4, 1, 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