------- (19, 20, 2) ALL distance distributions (2, 20, 2) has 1 possible DDs: {[5, 10, 5]} (3, 20, 2) has 6 possible DDs: {[0, 15, 0, 5], [1, 12, 3, 4], [2, 9, 6, 3], [3, 6, 9, 2], [4, 3, 12, 1], [5, 0, 15, 0]} (4, 20, 2) has 13 possible DDs: {[0, 7, 9, 1, 3], [0, 8, 6, 4, 2], [0, 9, 3, 7, 1], [0, 10, 0, 10, 0], [1, 4, 12, 0, 3], [1, 5, 9, 3, 2], [1, 6, 6, 6, 1], [1, 7, 3, 9, 0], [2, 2, 12, 2, 2], [2, 3, 9, 5, 1], [2, 4, 6, 8, 0], [3, 0, 12, 4, 1], [3, 1, 9, 7, 0]} (5, 20, 2) has 28 possible DDs: {[0, 1, 14, 2, 0, 3], [0, 2, 12, 2, 2, 2], [0, 3, 9, 5, 1, 2], [0, 3, 10, 2, 4, 1], [0, 4, 6, 8, 0, 2], [0, 4, 7, 5, 3, 1], [0, 4, 8, 2, 6, 0], [0, 5, 4, 8, 2, 1], [0, 5, 5, 5, 5, 0], [0, 6, 1, 11, 1, 1], [0, 6, 2, 8, 4, 0], [1, 0, 12, 4, 1, 2], [1, 0, 13, 1, 4, 1], [1, 1, 9, 7, 0, 2], [1, 1, 10, 4, 3, 1], [1, 1, 11, 1, 6, 0], [1, 2, 7, 7, 2, 1], [1, 2, 8, 4, 5, 0], [1, 3, 4, 10, 1, 1], [1, 3, 5, 7, 4, 0], [1, 4, 1, 13, 0, 1], [1, 4, 2, 10, 3, 0], [2, 0, 7, 9, 1, 1], [2, 0, 8, 6, 4, 0], [2, 1, 4, 12, 0, 1], [2, 1, 5, 9, 3, 0], [2, 2, 2, 12, 2, 0], [3, 0, 2, 14, 1, 0]} (6, 20, 2) has 60 possible DDs: {[0, 0, 8, 9, 0, 1, 2], [0, 0, 9, 6, 3, 0, 2], [0, 0, 9, 7, 0, 3, 1], [0, 0, 10, 4, 3, 2, 1], [0, 0, 10, 5, 0, 5, 0], [0, 0, 11, 1, 6, 1, 1], [0, 0, 11, 2, 3, 4, 0], [0, 1, 6, 9, 2, 0, 2], [0, 1, 7, 7, 2, 2, 1], [0, 1, 8, 4, 5, 1, 1], [0, 1, 8, 5, 2, 4, 0], [0, 1, 9, 1, 8, 0, 1], [0, 1, 9, 2, 5, 3, 0], [0, 2, 3, 12, 1, 0, 2], [0, 2, 4, 10, 1, 2, 1], [0, 2, 5, 7, 4, 1, 1], [0, 2, 5, 8, 1, 4, 0], [0, 2, 6, 4, 7, 0, 1], [0, 2, 6, 5, 4, 3, 0], [0, 2, 7, 2, 7, 2, 0], [0, 3, 0, 15, 0, 0, 2], [0, 3, 1, 13, 0, 2, 1], [0, 3, 2, 10, 3, 1, 1], [0, 3, 2, 11, 0, 4, 0], [0, 3, 3, 7, 6, 0, 1], [0, 3, 3, 8, 3, 3, 0], [0, 3, 4, 5, 6, 2, 0], [0, 3, 5, 2, 9, 1, 0], [0, 4, 0, 10, 5, 0, 1], [0, 4, 0, 11, 2, 3, 0], [0, 4, 1, 8, 5, 2, 0], [0, 4, 2, 5, 8, 1, 0], [0, 4, 3, 2, 11, 0, 0], [0, 5, 0, 5, 10, 0, 0], [1, 0, 3, 14, 0, 0, 2], [1, 0, 4, 12, 0, 2, 1], [1, 0, 5, 9, 3, 1, 1], [1, 0, 5, 10, 0, 4, 0], [1, 0, 6, 6, 6, 0, 1], [1, 0, 6, 7, 3, 3, 0], [1, 0, 7, 4, 6, 2, 0], [1, 0, 8, 1, 9, 1, 0], [1, 1, 2, 12, 2, 1, 1], [1, 1, 3, 9, 5, 0, 1], [1, 1, 3, 10, 2, 3, 0], [1, 1, 4, 7, 5, 2, 0], [1, 1, 5, 4, 8, 1, 0], [1, 1, 6, 1, 11, 0, 0], [1, 2, 0, 12, 4, 0, 1], [1, 2, 0, 13, 1, 3, 0], [1, 2, 1, 10, 4, 2, 0], [1, 2, 2, 7, 7, 1, 0], [1, 2, 3, 4, 10, 0, 0], [1, 3, 0, 7, 9, 0, 0], [2, 0, 0, 14, 3, 0, 1], [2, 0, 0, 15, 0, 3, 0], [2, 0, 1, 12, 3, 2, 0], [2, 0, 2, 9, 6, 1, 0], [2, 0, 3, 6, 9, 0, 0], [2, 1, 0, 9, 8, 0, 0]} (7, 20, 2) has 108 possible DDs: {[0, 0, 2, 13, 2, 1, 0, 2], [0, 0, 2, 14, 0, 1, 2, 1], [0, 0, 3, 10, 5, 0, 0, 2], [0, 0, 3, 11, 3, 0, 2, 1], [0, 0, 3, 12, 0, 3, 1, 1], [0, 0, 3, 12, 1, 0, 4, 0], [0, 0, 4, 9, 3, 2, 1, 1], [0, 0, 4, 10, 0, 5, 0, 1], [0, 0, 4, 10, 1, 2, 3, 0], [0, 0, 5, 6, 6, 1, 1, 1], [0, 0, 5, 7, 3, 4, 0, 1], [0, 0, 5, 7, 4, 1, 3, 0], [0, 0, 5, 8, 1, 4, 2, 0], [0, 0, 6, 3, 9, 0, 1, 1], [0, 0, 6, 4, 6, 3, 0, 1], [0, 0, 6, 4, 7, 0, 3, 0], [0, 0, 6, 5, 4, 3, 2, 0], [0, 0, 6, 6, 1, 6, 1, 0], [0, 0, 7, 1, 9, 2, 0, 1], [0, 0, 7, 2, 7, 2, 2, 0], [0, 0, 7, 3, 4, 5, 1, 0], [0, 0, 7, 4, 1, 8, 0, 0], [0, 0, 8, 0, 7, 4, 1, 0], [0, 0, 8, 1, 4, 7, 0, 0], [0, 1, 0, 13, 4, 0, 0, 2], [0, 1, 0, 14, 2, 0, 2, 1], [0, 1, 0, 15, 0, 0, 4, 0], [0, 1, 1, 12, 2, 2, 1, 1], [0, 1, 1, 13, 0, 2, 3, 0], [0, 1, 2, 9, 5, 1, 1, 1], [0, 1, 2, 10, 2, 4, 0, 1], [0, 1, 2, 10, 3, 1, 3, 0], [0, 1, 2, 11, 0, 4, 2, 0], [0, 1, 3, 6, 8, 0, 1, 1], [0, 1, 3, 7, 5, 3, 0, 1], [0, 1, 3, 7, 6, 0, 3, 0], [0, 1, 3, 8, 3, 3, 2, 0], [0, 1, 3, 9, 0, 6, 1, 0], [0, 1, 4, 4, 8, 2, 0, 1], [0, 1, 4, 5, 6, 2, 2, 0], [0, 1, 4, 6, 3, 5, 1, 0], [0, 1, 4, 7, 0, 8, 0, 0], [0, 1, 5, 1, 11, 1, 0, 1], [0, 1, 5, 2, 9, 1, 2, 0], [0, 1, 5, 3, 6, 4, 1, 0], [0, 1, 5, 4, 3, 7, 0, 0], [0, 1, 6, 0, 9, 3, 1, 0], [0, 1, 6, 1, 6, 6, 0, 0], [0, 2, 0, 9, 7, 0, 1, 1], [0, 2, 0, 10, 4, 3, 0, 1], [0, 2, 0, 10, 5, 0, 3, 0], [0, 2, 0, 11, 2, 3, 2, 0], [0, 2, 1, 7, 7, 2, 0, 1], [0, 2, 1, 8, 5, 2, 2, 0], [0, 2, 1, 9, 2, 5, 1, 0], [0, 2, 2, 4, 10, 1, 0, 1], [0, 2, 2, 5, 8, 1, 2, 0], [0, 2, 2, 6, 5, 4, 1, 0], [0, 2, 2, 7, 2, 7, 0, 0], [0, 2, 3, 1, 13, 0, 0, 1], [0, 2, 3, 2, 11, 0, 2, 0], [0, 2, 3, 3, 8, 3, 1, 0], [0, 2, 3, 4, 5, 6, 0, 0], [0, 2, 4, 0, 11, 2, 1, 0], [0, 2, 4, 1, 8, 5, 0, 0], [0, 3, 0, 4, 12, 0, 0, 1], [0, 3, 0, 5, 10, 0, 2, 0], [0, 3, 0, 6, 7, 3, 1, 0], [0, 3, 0, 7, 4, 6, 0, 0], [0, 3, 1, 3, 10, 2, 1, 0], [0, 3, 1, 4, 7, 5, 0, 0], [0, 3, 2, 0, 13, 1, 1, 0], [0, 3, 2, 1, 10, 4, 0, 0], [0, 4, 0, 0, 15, 0, 1, 0], [0, 4, 0, 1, 12, 3, 0, 0], [1, 0, 0, 11, 6, 0, 1, 1], [1, 0, 0, 12, 3, 3, 0, 1], [1, 0, 0, 12, 4, 0, 3, 0], [1, 0, 0, 13, 1, 3, 2, 0], [1, 0, 1, 9, 6, 2, 0, 1], [1, 0, 1, 10, 4, 2, 2, 0], [1, 0, 1, 11, 1, 5, 1, 0], [1, 0, 2, 6, 9, 1, 0, 1], [1, 0, 2, 7, 7, 1, 2, 0], [1, 0, 2, 8, 4, 4, 1, 0], [1, 0, 2, 9, 1, 7, 0, 0], [1, 0, 3, 3, 12, 0, 0, 1], [1, 0, 3, 4, 10, 0, 2, 0], [1, 0, 3, 5, 7, 3, 1, 0], [1, 0, 3, 6, 4, 6, 0, 0], [1, 0, 4, 2, 10, 2, 1, 0], [1, 0, 4, 3, 7, 5, 0, 0], [1, 0, 5, 0, 10, 4, 0, 0], [1, 1, 0, 6, 11, 0, 0, 1], [1, 1, 0, 7, 9, 0, 2, 0], [1, 1, 0, 8, 6, 3, 1, 0], [1, 1, 0, 9, 3, 6, 0, 0], [1, 1, 1, 5, 9, 2, 1, 0], [1, 1, 1, 6, 6, 5, 0, 0], [1, 1, 2, 2, 12, 1, 1, 0], [1, 1, 2, 3, 9, 4, 0, 0], [1, 1, 3, 0, 12, 3, 0, 0], [1, 2, 0, 2, 14, 0, 1, 0], [1, 2, 0, 3, 11, 3, 0, 0], [1, 2, 1, 0, 14, 2, 0, 0], [2, 0, 0, 4, 13, 0, 1, 0], [2, 0, 0, 5, 10, 3, 0, 0], [2, 0, 1, 2, 13, 2, 0, 0]} (8, 20, 2) has 167 possible DDs: {[0, 0, 0, 8, 10, 0, 0, 0, 2], [0, 0, 0, 10, 6, 1, 1, 1, 1], [0, 0, 0, 11, 3, 4, 0, 1, 1], [0, 0, 0, 11, 4, 1, 3, 0, 1], [0, 0, 0, 11, 4, 2, 0, 3, 0], [0, 0, 0, 12, 1, 4, 2, 0, 1], [0, 0, 0, 12, 2, 2, 2, 2, 0], [0, 0, 0, 13, 0, 2, 4, 1, 0], [0, 0, 1, 7, 9, 0, 1, 1, 1], [0, 0, 1, 8, 6, 3, 0, 1, 1], [0, 0, 1, 8, 7, 0, 3, 0, 1], [0, 0, 1, 8, 7, 1, 0, 3, 0], [0, 0, 1, 9, 4, 3, 2, 0, 1], [0, 0, 1, 9, 5, 1, 2, 2, 0], [0, 0, 1, 10, 1, 6, 1, 0, 1], [0, 0, 1, 10, 2, 4, 1, 2, 0], [0, 0, 1, 10, 3, 1, 4, 1, 0], [0, 0, 1, 11, 0, 4, 3, 1, 0], [0, 0, 1, 11, 1, 1, 6, 0, 0], [0, 0, 2, 5, 9, 2, 0, 1, 1], [0, 0, 2, 5, 10, 0, 0, 3, 0], [0, 0, 2, 6, 7, 2, 2, 0, 1], [0, 0, 2, 6, 8, 0, 2, 2, 0], [0, 0, 2, 7, 4, 5, 1, 0, 1], [0, 0, 2, 7, 5, 3, 1, 2, 0], [0, 0, 2, 7, 6, 0, 4, 1, 0], [0, 0, 2, 8, 1, 8, 0, 0, 1], [0, 0, 2, 8, 2, 6, 0, 2, 0], [0, 0, 2, 8, 3, 3, 3, 1, 0], [0, 0, 2, 8, 4, 0, 6, 0, 0], [0, 0, 2, 9, 0, 6, 2, 1, 0], [0, 0, 2, 9, 1, 3, 5, 0, 0], [0, 0, 3, 2, 12, 1, 0, 1, 1], [0, 0, 3, 3, 10, 1, 2, 0, 1], [0, 0, 3, 4, 7, 4, 1, 0, 1], [0, 0, 3, 4, 8, 2, 1, 2, 0], [0, 0, 3, 5, 4, 7, 0, 0, 1], [0, 0, 3, 5, 5, 5, 0, 2, 0], [0, 0, 3, 5, 6, 2, 3, 1, 0], [0, 0, 3, 6, 3, 5, 2, 1, 0], [0, 0, 3, 6, 4, 2, 5, 0, 0], [0, 0, 3, 7, 0, 8, 1, 1, 0], [0, 0, 3, 7, 1, 5, 4, 0, 0], [0, 0, 4, 0, 13, 0, 2, 0, 1], [0, 0, 4, 1, 10, 3, 1, 0, 1], [0, 0, 4, 1, 11, 1, 1, 2, 0], [0, 0, 4, 2, 7, 6, 0, 0, 1], [0, 0, 4, 2, 8, 4, 0, 2, 0], [0, 0, 4, 2, 9, 1, 3, 1, 0], [0, 0, 4, 3, 6, 4, 2, 1, 0], [0, 0, 4, 3, 7, 1, 5, 0, 0], [0, 0, 4, 4, 3, 7, 1, 1, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0], [0, 0, 4, 5, 0, 10, 0, 1, 0], [0, 0, 4, 5, 1, 7, 3, 0, 0], [0, 0, 5, 0, 9, 3, 2, 1, 0], [0, 0, 5, 0, 10, 0, 5, 0, 0], [0, 0, 5, 1, 6, 6, 1, 1, 0], [0, 0, 5, 1, 7, 3, 4, 0, 0], [0, 0, 5, 2, 3, 9, 0, 1, 0], [0, 0, 5, 2, 4, 6, 3, 0, 0], [0, 0, 5, 3, 1, 9, 2, 0, 0], [0, 0, 6, 0, 4, 8, 2, 0, 0], [0, 0, 6, 1, 1, 11, 1, 0, 0], [0, 1, 0, 5, 11, 1, 0, 1, 1], [0, 1, 0, 6, 9, 1, 2, 0, 1], [0, 1, 0, 7, 6, 4, 1, 0, 1], [0, 1, 0, 7, 7, 2, 1, 2, 0], [0, 1, 0, 8, 3, 7, 0, 0, 1], [0, 1, 0, 8, 4, 5, 0, 2, 0], [0, 1, 0, 8, 5, 2, 3, 1, 0], [0, 1, 0, 9, 2, 5, 2, 1, 0], [0, 1, 0, 9, 3, 2, 5, 0, 0], [0, 1, 0, 10, 0, 5, 4, 0, 0], [0, 1, 1, 2, 14, 0, 0, 1, 1], [0, 1, 1, 3, 12, 0, 2, 0, 1], [0, 1, 1, 4, 9, 3, 1, 0, 1], [0, 1, 1, 4, 10, 1, 1, 2, 0], [0, 1, 1, 5, 6, 6, 0, 0, 1], [0, 1, 1, 5, 7, 4, 0, 2, 0], [0, 1, 1, 5, 8, 1, 3, 1, 0], [0, 1, 1, 6, 5, 4, 2, 1, 0], [0, 1, 1, 6, 6, 1, 5, 0, 0], [0, 1, 1, 7, 2, 7, 1, 1, 0], [0, 1, 1, 7, 3, 4, 4, 0, 0], [0, 1, 1, 8, 0, 7, 3, 0, 0], [0, 1, 2, 1, 12, 2, 1, 0, 1], [0, 1, 2, 1, 13, 0, 1, 2, 0], [0, 1, 2, 2, 9, 5, 0, 0, 1], [0, 1, 2, 2, 10, 3, 0, 2, 0], [0, 1, 2, 2, 11, 0, 3, 1, 0], [0, 1, 2, 3, 8, 3, 2, 1, 0], [0, 1, 2, 3, 9, 0, 5, 0, 0], [0, 1, 2, 4, 5, 6, 1, 1, 0], [0, 1, 2, 4, 6, 3, 4, 0, 0], [0, 1, 2, 5, 2, 9, 0, 1, 0], [0, 1, 2, 5, 3, 6, 3, 0, 0], [0, 1, 2, 6, 0, 9, 2, 0, 0], [0, 1, 3, 0, 11, 2, 2, 1, 0], [0, 1, 3, 1, 8, 5, 1, 1, 0], [0, 1, 3, 1, 9, 2, 4, 0, 0], [0, 1, 3, 2, 5, 8, 0, 1, 0], [0, 1, 3, 2, 6, 5, 3, 0, 0], [0, 1, 3, 3, 3, 8, 2, 0, 0], [0, 1, 3, 4, 0, 11, 1, 0, 0], [0, 1, 4, 0, 6, 7, 2, 0, 0], [0, 1, 4, 1, 3, 10, 1, 0, 0], [0, 1, 4, 2, 0, 13, 0, 0, 0], [0, 2, 0, 1, 14, 1, 1, 0, 1], [0, 2, 0, 2, 11, 4, 0, 0, 1], [0, 2, 0, 2, 12, 2, 0, 2, 0], [0, 2, 0, 3, 10, 2, 2, 1, 0], [0, 2, 0, 4, 7, 5, 1, 1, 0], [0, 2, 0, 4, 8, 2, 4, 0, 0], [0, 2, 0, 5, 4, 8, 0, 1, 0], [0, 2, 0, 5, 5, 5, 3, 0, 0], [0, 2, 0, 6, 2, 8, 2, 0, 0], [0, 2, 1, 0, 13, 1, 2, 1, 0], [0, 2, 1, 1, 10, 4, 1, 1, 0], [0, 2, 1, 1, 11, 1, 4, 0, 0], [0, 2, 1, 2, 7, 7, 0, 1, 0], [0, 2, 1, 2, 8, 4, 3, 0, 0], [0, 2, 1, 3, 5, 7, 2, 0, 0], [0, 2, 1, 4, 2, 10, 1, 0, 0], [0, 2, 2, 0, 8, 6, 2, 0, 0], [0, 2, 2, 1, 5, 9, 1, 0, 0], [0, 2, 2, 2, 2, 12, 0, 0, 0], [0, 3, 0, 0, 10, 5, 2, 0, 0], [0, 3, 0, 1, 7, 8, 1, 0, 0], [0, 3, 0, 2, 4, 11, 0, 0, 0], [1, 0, 0, 3, 13, 1, 1, 0, 1], [1, 0, 0, 4, 10, 4, 0, 0, 1], [1, 0, 0, 4, 11, 2, 0, 2, 0], [1, 0, 0, 5, 9, 2, 2, 1, 0], [1, 0, 0, 6, 6, 5, 1, 1, 0], [1, 0, 0, 6, 7, 2, 4, 0, 0], [1, 0, 0, 7, 3, 8, 0, 1, 0], [1, 0, 0, 7, 4, 5, 3, 0, 0], [1, 0, 0, 8, 1, 8, 2, 0, 0], [1, 0, 1, 0, 16, 0, 1, 0, 1], [1, 0, 1, 1, 13, 3, 0, 0, 1], [1, 0, 1, 1, 14, 1, 0, 2, 0], [1, 0, 1, 2, 12, 1, 2, 1, 0], [1, 0, 1, 3, 9, 4, 1, 1, 0], [1, 0, 1, 3, 10, 1, 4, 0, 0], [1, 0, 1, 4, 6, 7, 0, 1, 0], [1, 0, 1, 4, 7, 4, 3, 0, 0], [1, 0, 1, 5, 4, 7, 2, 0, 0], [1, 0, 1, 6, 1, 10, 1, 0, 0], [1, 0, 2, 0, 12, 3, 1, 1, 0], [1, 0, 2, 0, 13, 0, 4, 0, 0], [1, 0, 2, 1, 9, 6, 0, 1, 0], [1, 0, 2, 1, 10, 3, 3, 0, 0], [1, 0, 2, 2, 7, 6, 2, 0, 0], [1, 0, 2, 3, 4, 9, 1, 0, 0], [1, 0, 2, 4, 1, 12, 0, 0, 0], [1, 0, 3, 0, 7, 8, 1, 0, 0], [1, 0, 3, 1, 4, 11, 0, 0, 0], [1, 1, 0, 0, 14, 2, 1, 1, 0], [1, 1, 0, 1, 11, 5, 0, 1, 0], [1, 1, 0, 1, 12, 2, 3, 0, 0], [1, 1, 0, 2, 9, 5, 2, 0, 0], [1, 1, 0, 3, 6, 8, 1, 0, 0], [1, 1, 0, 4, 3, 11, 0, 0, 0], [1, 1, 1, 0, 9, 7, 1, 0, 0], [1, 1, 1, 1, 6, 10, 0, 0, 0], [2, 0, 0, 0, 10, 8, 0, 0, 0]} (9, 20, 2) has 269 possible DDs: {[0, 0, 0, 0, 18, 0, 0, 0, 0, 2], [0, 0, 0, 2, 15, 0, 0, 0, 3, 0], [0, 0, 0, 3, 12, 2, 1, 0, 1, 1], [0, 0, 0, 3, 13, 0, 1, 2, 0, 1], [0, 0, 0, 4, 9, 5, 0, 0, 1, 1], [0, 0, 0, 4, 10, 3, 0, 2, 0, 1], [0, 0, 0, 4, 11, 0, 3, 1, 0, 1], [0, 0, 0, 4, 11, 1, 1, 1, 2, 0], [0, 0, 0, 5, 8, 3, 2, 1, 0, 1], [0, 0, 0, 5, 8, 4, 0, 1, 2, 0], [0, 0, 0, 5, 9, 0, 5, 0, 0, 1], [0, 0, 0, 5, 9, 1, 3, 0, 2, 0], [0, 0, 0, 5, 9, 2, 0, 3, 1, 0], [0, 0, 0, 5, 10, 0, 0, 5, 0, 0], [0, 0, 0, 6, 5, 6, 1, 1, 0, 1], [0, 0, 0, 6, 6, 3, 4, 0, 0, 1], [0, 0, 0, 6, 6, 4, 2, 0, 2, 0], [0, 0, 0, 6, 7, 2, 2, 2, 1, 0], [0, 0, 0, 6, 8, 0, 2, 4, 0, 0], [0, 0, 0, 7, 2, 9, 0, 1, 0, 1], [0, 0, 0, 7, 3, 6, 3, 0, 0, 1], [0, 0, 0, 7, 3, 7, 1, 0, 2, 0], [0, 0, 0, 7, 4, 5, 1, 2, 1, 0], [0, 0, 0, 7, 5, 2, 4, 1, 1, 0], [0, 0, 0, 7, 5, 3, 1, 4, 0, 0], [0, 0, 0, 7, 6, 0, 4, 3, 0, 0], [0, 0, 0, 8, 0, 9, 2, 0, 0, 1], [0, 0, 0, 8, 0, 10, 0, 0, 2, 0], [0, 0, 0, 8, 1, 8, 0, 2, 1, 0], [0, 0, 0, 8, 2, 5, 3, 1, 1, 0], [0, 0, 0, 8, 2, 6, 0, 4, 0, 0], [0, 0, 0, 8, 3, 2, 6, 0, 1, 0], [0, 0, 0, 8, 3, 3, 3, 3, 0, 0], [0, 0, 0, 8, 4, 0, 6, 2, 0, 0], [0, 0, 0, 9, 0, 5, 5, 0, 1, 0], [0, 0, 0, 9, 0, 6, 2, 3, 0, 0], [0, 0, 0, 9, 1, 3, 5, 2, 0, 0], [0, 0, 0, 9, 2, 0, 8, 1, 0, 0], [0, 0, 0, 10, 0, 0, 10, 0, 0, 0], [0, 0, 1, 0, 15, 1, 1, 0, 1, 1], [0, 0, 1, 1, 12, 4, 0, 0, 1, 1], [0, 0, 1, 1, 13, 2, 0, 2, 0, 1], [0, 0, 1, 1, 14, 0, 1, 1, 2, 0], [0, 0, 1, 2, 11, 2, 2, 1, 0, 1], [0, 0, 1, 2, 11, 3, 0, 1, 2, 0], [0, 0, 1, 2, 12, 0, 3, 0, 2, 0], [0, 0, 1, 2, 12, 1, 0, 3, 1, 0], [0, 0, 1, 3, 8, 5, 1, 1, 0, 1], [0, 0, 1, 3, 9, 2, 4, 0, 0, 1], [0, 0, 1, 3, 9, 3, 2, 0, 2, 0], [0, 0, 1, 3, 10, 1, 2, 2, 1, 0], [0, 0, 1, 4, 5, 8, 0, 1, 0, 1], [0, 0, 1, 4, 6, 5, 3, 0, 0, 1], [0, 0, 1, 4, 6, 6, 1, 0, 2, 0], [0, 0, 1, 4, 7, 4, 1, 2, 1, 0], [0, 0, 1, 4, 8, 1, 4, 1, 1, 0], [0, 0, 1, 4, 8, 2, 1, 4, 0, 0], [0, 0, 1, 5, 3, 8, 2, 0, 0, 1], [0, 0, 1, 5, 3, 9, 0, 0, 2, 0], [0, 0, 1, 5, 4, 7, 0, 2, 1, 0], [0, 0, 1, 5, 5, 4, 3, 1, 1, 0], [0, 0, 1, 5, 5, 5, 0, 4, 0, 0], [0, 0, 1, 5, 6, 1, 6, 0, 1, 0], [0, 0, 1, 5, 6, 2, 3, 3, 0, 0], [0, 0, 1, 6, 0, 11, 1, 0, 0, 1], [0, 0, 1, 6, 2, 7, 2, 1, 1, 0], [0, 0, 1, 6, 3, 4, 5, 0, 1, 0], [0, 0, 1, 6, 3, 5, 2, 3, 0, 0], [0, 0, 1, 6, 4, 2, 5, 2, 0, 0], [0, 0, 1, 7, 0, 7, 4, 0, 1, 0], [0, 0, 1, 7, 0, 8, 1, 3, 0, 0], [0, 0, 1, 7, 1, 5, 4, 2, 0, 0], [0, 0, 1, 7, 2, 2, 7, 1, 0, 0], [0, 0, 1, 8, 0, 2, 9, 0, 0, 0], [0, 0, 2, 0, 11, 4, 1, 1, 0, 1], [0, 0, 2, 0, 12, 1, 4, 0, 0, 1], [0, 0, 2, 0, 12, 2, 2, 0, 2, 0], [0, 0, 2, 0, 13, 0, 2, 2, 1, 0], [0, 0, 2, 1, 8, 7, 0, 1, 0, 1], [0, 0, 2, 1, 9, 4, 3, 0, 0, 1], [0, 0, 2, 1, 9, 5, 1, 0, 2, 0], [0, 0, 2, 1, 10, 3, 1, 2, 1, 0], [0, 0, 2, 1, 11, 0, 4, 1, 1, 0], [0, 0, 2, 1, 11, 1, 1, 4, 0, 0], [0, 0, 2, 2, 6, 7, 2, 0, 0, 1], [0, 0, 2, 2, 6, 8, 0, 0, 2, 0], [0, 0, 2, 2, 7, 6, 0, 2, 1, 0], [0, 0, 2, 2, 8, 3, 3, 1, 1, 0], [0, 0, 2, 2, 8, 4, 0, 4, 0, 0], [0, 0, 2, 2, 9, 0, 6, 0, 1, 0], [0, 0, 2, 2, 9, 1, 3, 3, 0, 0], [0, 0, 2, 3, 3, 10, 1, 0, 0, 1], [0, 0, 2, 3, 5, 6, 2, 1, 1, 0], [0, 0, 2, 3, 6, 3, 5, 0, 1, 0], [0, 0, 2, 3, 6, 4, 2, 3, 0, 0], [0, 0, 2, 3, 7, 1, 5, 2, 0, 0], [0, 0, 2, 4, 0, 13, 0, 0, 0, 1], [0, 0, 2, 4, 2, 9, 1, 1, 1, 0], [0, 0, 2, 4, 3, 6, 4, 0, 1, 0], [0, 0, 2, 4, 3, 7, 1, 3, 0, 0], [0, 0, 2, 4, 4, 4, 4, 2, 0, 0], [0, 0, 2, 4, 5, 1, 7, 1, 0, 0], [0, 0, 2, 5, 0, 9, 3, 0, 1, 0], [0, 0, 2, 5, 0, 10, 0, 3, 0, 0], [0, 0, 2, 5, 1, 7, 3, 2, 0, 0], [0, 0, 2, 5, 2, 4, 6, 1, 0, 0], [0, 0, 2, 5, 3, 1, 9, 0, 0, 0], [0, 0, 2, 6, 0, 4, 8, 0, 0, 0], [0, 0, 3, 0, 6, 9, 1, 0, 0, 1], [0, 0, 3, 0, 8, 5, 2, 1, 1, 0], [0, 0, 3, 0, 9, 2, 5, 0, 1, 0], [0, 0, 3, 0, 9, 3, 2, 3, 0, 0], [0, 0, 3, 0, 10, 0, 5, 2, 0, 0], [0, 0, 3, 1, 3, 12, 0, 0, 0, 1], [0, 0, 3, 1, 5, 8, 1, 1, 1, 0], [0, 0, 3, 1, 6, 5, 4, 0, 1, 0], [0, 0, 3, 1, 6, 6, 1, 3, 0, 0], [0, 0, 3, 1, 7, 3, 4, 2, 0, 0], [0, 0, 3, 1, 8, 0, 7, 1, 0, 0], [0, 0, 3, 2, 2, 11, 0, 1, 1, 0], [0, 0, 3, 2, 3, 8, 3, 0, 1, 0], [0, 0, 3, 2, 3, 9, 0, 3, 0, 0], [0, 0, 3, 2, 4, 6, 3, 2, 0, 0], [0, 0, 3, 2, 5, 3, 6, 1, 0, 0], [0, 0, 3, 2, 6, 0, 9, 0, 0, 0], [0, 0, 3, 3, 0, 11, 2, 0, 1, 0], [0, 0, 3, 3, 1, 9, 2, 2, 0, 0], [0, 0, 3, 3, 2, 6, 5, 1, 0, 0], [0, 0, 3, 3, 3, 3, 8, 0, 0, 0], [0, 0, 3, 4, 0, 6, 7, 0, 0, 0], [0, 0, 4, 0, 3, 10, 2, 0, 1, 0], [0, 0, 4, 0, 4, 8, 2, 2, 0, 0], [0, 0, 4, 0, 5, 5, 5, 1, 0, 0], [0, 0, 4, 0, 6, 2, 8, 0, 0, 0], [0, 0, 4, 1, 0, 13, 1, 0, 1, 0], [0, 0, 4, 1, 1, 11, 1, 2, 0, 0], [0, 0, 4, 1, 2, 8, 4, 1, 0, 0], [0, 0, 4, 1, 3, 5, 7, 0, 0, 0], [0, 0, 4, 2, 0, 8, 6, 0, 0, 0], [0, 0, 5, 0, 0, 10, 5, 0, 0, 0], [0, 1, 0, 0, 13, 3, 1, 1, 0, 1], [0, 1, 0, 0, 14, 0, 4, 0, 0, 1], [0, 1, 0, 0, 14, 1, 2, 0, 2, 0], [0, 1, 0, 1, 10, 6, 0, 1, 0, 1], [0, 1, 0, 1, 11, 3, 3, 0, 0, 1], [0, 1, 0, 1, 11, 4, 1, 0, 2, 0], [0, 1, 0, 1, 12, 2, 1, 2, 1, 0], [0, 1, 0, 1, 13, 0, 1, 4, 0, 0], [0, 1, 0, 2, 8, 6, 2, 0, 0, 1], [0, 1, 0, 2, 8, 7, 0, 0, 2, 0], [0, 1, 0, 2, 9, 5, 0, 2, 1, 0], [0, 1, 0, 2, 10, 2, 3, 1, 1, 0], [0, 1, 0, 2, 10, 3, 0, 4, 0, 0], [0, 1, 0, 2, 11, 0, 3, 3, 0, 0], [0, 1, 0, 3, 5, 9, 1, 0, 0, 1], [0, 1, 0, 3, 7, 5, 2, 1, 1, 0], [0, 1, 0, 3, 8, 2, 5, 0, 1, 0], [0, 1, 0, 3, 8, 3, 2, 3, 0, 0], [0, 1, 0, 3, 9, 0, 5, 2, 0, 0], [0, 1, 0, 4, 2, 12, 0, 0, 0, 1], [0, 1, 0, 4, 4, 8, 1, 1, 1, 0], [0, 1, 0, 4, 5, 5, 4, 0, 1, 0], [0, 1, 0, 4, 5, 6, 1, 3, 0, 0], [0, 1, 0, 4, 6, 3, 4, 2, 0, 0], [0, 1, 0, 4, 7, 0, 7, 1, 0, 0], [0, 1, 0, 5, 1, 11, 0, 1, 1, 0], [0, 1, 0, 5, 2, 8, 3, 0, 1, 0], [0, 1, 0, 5, 2, 9, 0, 3, 0, 0], [0, 1, 0, 5, 3, 6, 3, 2, 0, 0], [0, 1, 0, 5, 4, 3, 6, 1, 0, 0], [0, 1, 0, 5, 5, 0, 9, 0, 0, 0], [0, 1, 0, 6, 0, 9, 2, 2, 0, 0], [0, 1, 0, 6, 1, 6, 5, 1, 0, 0], [0, 1, 0, 6, 2, 3, 8, 0, 0, 0], [0, 1, 1, 0, 8, 8, 1, 0, 0, 1], [0, 1, 1, 0, 10, 4, 2, 1, 1, 0], [0, 1, 1, 0, 11, 1, 5, 0, 1, 0], [0, 1, 1, 0, 11, 2, 2, 3, 0, 0], [0, 1, 1, 1, 5, 11, 0, 0, 0, 1], [0, 1, 1, 1, 7, 7, 1, 1, 1, 0], [0, 1, 1, 1, 8, 4, 4, 0, 1, 0], [0, 1, 1, 1, 8, 5, 1, 3, 0, 0], [0, 1, 1, 1, 9, 2, 4, 2, 0, 0], [0, 1, 1, 2, 4, 10, 0, 1, 1, 0], [0, 1, 1, 2, 5, 7, 3, 0, 1, 0], [0, 1, 1, 2, 5, 8, 0, 3, 0, 0], [0, 1, 1, 2, 6, 5, 3, 2, 0, 0], [0, 1, 1, 2, 7, 2, 6, 1, 0, 0], [0, 1, 1, 3, 2, 10, 2, 0, 1, 0], [0, 1, 1, 3, 3, 8, 2, 2, 0, 0], [0, 1, 1, 3, 4, 5, 5, 1, 0, 0], [0, 1, 1, 3, 5, 2, 8, 0, 0, 0], [0, 1, 1, 4, 0, 11, 1, 2, 0, 0], [0, 1, 1, 4, 1, 8, 4, 1, 0, 0], [0, 1, 1, 4, 2, 5, 7, 0, 0, 0], [0, 1, 2, 0, 5, 9, 2, 0, 1, 0], [0, 1, 2, 0, 6, 7, 2, 2, 0, 0], [0, 1, 2, 0, 7, 4, 5, 1, 0, 0], [0, 1, 2, 0, 8, 1, 8, 0, 0, 0], [0, 1, 2, 1, 2, 12, 1, 0, 1, 0], [0, 1, 2, 1, 3, 10, 1, 2, 0, 0], [0, 1, 2, 1, 4, 7, 4, 1, 0, 0], [0, 1, 2, 1, 5, 4, 7, 0, 0, 0], [0, 1, 2, 2, 0, 13, 0, 2, 0, 0], [0, 1, 2, 2, 1, 10, 3, 1, 0, 0], [0, 1, 2, 2, 2, 7, 6, 0, 0, 0], [0, 1, 3, 0, 1, 12, 2, 1, 0, 0], [0, 1, 3, 0, 2, 9, 5, 0, 0, 0], [0, 2, 0, 0, 7, 8, 2, 0, 1, 0], [0, 2, 0, 0, 8, 6, 2, 2, 0, 0], [0, 2, 0, 0, 9, 3, 5, 1, 0, 0], [0, 2, 0, 0, 10, 0, 8, 0, 0, 0], [0, 2, 0, 1, 4, 11, 1, 0, 1, 0], [0, 2, 0, 1, 5, 9, 1, 2, 0, 0], [0, 2, 0, 1, 6, 6, 4, 1, 0, 0], [0, 2, 0, 1, 7, 3, 7, 0, 0, 0], [0, 2, 0, 2, 1, 14, 0, 0, 1, 0], [0, 2, 0, 2, 2, 12, 0, 2, 0, 0], [0, 2, 0, 2, 3, 9, 3, 1, 0, 0], [0, 2, 0, 2, 4, 6, 6, 0, 0, 0], [0, 2, 0, 3, 0, 12, 2, 1, 0, 0], [0, 2, 0, 3, 1, 9, 5, 0, 0, 0], [0, 2, 1, 0, 3, 11, 2, 1, 0, 0], [0, 2, 1, 0, 4, 8, 5, 0, 0, 0], [0, 2, 1, 1, 0, 14, 1, 1, 0, 0], [0, 2, 1, 1, 1, 11, 4, 0, 0, 0], [0, 3, 0, 0, 0, 15, 2, 0, 0, 0], [1, 0, 0, 0, 9, 9, 0, 0, 0, 1], [1, 0, 0, 0, 11, 5, 1, 1, 1, 0], [1, 0, 0, 0, 12, 2, 4, 0, 1, 0], [1, 0, 0, 0, 12, 3, 1, 3, 0, 0], [1, 0, 0, 0, 13, 0, 4, 2, 0, 0], [1, 0, 0, 1, 8, 8, 0, 1, 1, 0], [1, 0, 0, 1, 9, 5, 3, 0, 1, 0], [1, 0, 0, 1, 9, 6, 0, 3, 0, 0], [1, 0, 0, 1, 10, 3, 3, 2, 0, 0], [1, 0, 0, 1, 11, 0, 6, 1, 0, 0], [1, 0, 0, 2, 6, 8, 2, 0, 1, 0], [1, 0, 0, 2, 7, 6, 2, 2, 0, 0], [1, 0, 0, 2, 8, 3, 5, 1, 0, 0], [1, 0, 0, 2, 9, 0, 8, 0, 0, 0], [1, 0, 0, 3, 3, 11, 1, 0, 1, 0], [1, 0, 0, 3, 4, 9, 1, 2, 0, 0], [1, 0, 0, 3, 5, 6, 4, 1, 0, 0], [1, 0, 0, 3, 6, 3, 7, 0, 0, 0], [1, 0, 0, 4, 0, 14, 0, 0, 1, 0], [1, 0, 0, 4, 1, 12, 0, 2, 0, 0], [1, 0, 0, 4, 2, 9, 3, 1, 0, 0], [1, 0, 0, 4, 3, 6, 6, 0, 0, 0], [1, 0, 0, 5, 0, 9, 5, 0, 0, 0], [1, 0, 1, 0, 6, 10, 1, 0, 1, 0], [1, 0, 1, 0, 7, 8, 1, 2, 0, 0], [1, 0, 1, 0, 8, 5, 4, 1, 0, 0], [1, 0, 1, 0, 9, 2, 7, 0, 0, 0], [1, 0, 1, 1, 3, 13, 0, 0, 1, 0], [1, 0, 1, 1, 4, 11, 0, 2, 0, 0], [1, 0, 1, 1, 5, 8, 3, 1, 0, 0], [1, 0, 1, 1, 6, 5, 6, 0, 0, 0], [1, 0, 1, 2, 2, 11, 2, 1, 0, 0], [1, 0, 1, 2, 3, 8, 5, 0, 0, 0], [1, 0, 1, 3, 0, 11, 4, 0, 0, 0], [1, 0, 2, 0, 2, 13, 1, 1, 0, 0], [1, 0, 2, 0, 3, 10, 4, 0, 0, 0], [1, 0, 2, 1, 0, 13, 3, 0, 0, 0], [1, 1, 0, 0, 4, 12, 1, 1, 0, 0], [1, 1, 0, 0, 5, 9, 4, 0, 0, 0], [1, 1, 0, 1, 1, 15, 0, 1, 0, 0], [1, 1, 0, 1, 2, 12, 3, 0, 0, 0], [2, 0, 0, 0, 0, 18, 0, 0, 0, 0]} (10, 20, 2) has 403 possible DDs: {[0, 0, 0, 0, 9, 9, 0, 0, 0, 1, 1], [0, 0, 0, 0, 11, 5, 1, 1, 1, 0, 1], [0, 0, 0, 0, 12, 2, 4, 0, 1, 0, 1], [0, 0, 0, 0, 12, 3, 1, 3, 0, 0, 1], [0, 0, 0, 0, 12, 3, 2, 1, 0, 2, 0], [0, 0, 0, 0, 12, 4, 0, 1, 2, 1, 0], [0, 0, 0, 0, 13, 0, 4, 2, 0, 0, 1], [0, 0, 0, 0, 13, 0, 5, 0, 0, 2, 0], [0, 0, 0, 0, 13, 1, 3, 0, 2, 1, 0], [0, 0, 0, 0, 13, 2, 0, 3, 1, 1, 0], [0, 0, 0, 0, 13, 2, 1, 0, 4, 0, 0], [0, 0, 0, 0, 14, 0, 0, 5, 0, 1, 0], [0, 0, 0, 0, 14, 0, 1, 2, 3, 0, 0], [0, 0, 0, 1, 8, 8, 0, 1, 1, 0, 1], [0, 0, 0, 1, 9, 5, 3, 0, 1, 0, 1], [0, 0, 0, 1, 9, 6, 0, 3, 0, 0, 1], [0, 0, 0, 1, 9, 6, 1, 1, 0, 2, 0], [0, 0, 0, 1, 10, 3, 3, 2, 0, 0, 1], [0, 0, 0, 1, 10, 3, 4, 0, 0, 2, 0], [0, 0, 0, 1, 10, 4, 2, 0, 2, 1, 0], [0, 0, 0, 1, 10, 5, 0, 0, 4, 0, 0], [0, 0, 0, 1, 11, 0, 6, 1, 0, 0, 1], [0, 0, 0, 1, 11, 2, 2, 2, 1, 1, 0], [0, 0, 0, 1, 11, 3, 0, 2, 3, 0, 0], [0, 0, 0, 1, 12, 0, 2, 4, 0, 1, 0], [0, 0, 0, 1, 12, 0, 3, 1, 3, 0, 0], [0, 0, 0, 1, 12, 1, 0, 4, 2, 0, 0], [0, 0, 0, 2, 6, 8, 2, 0, 1, 0, 1], [0, 0, 0, 2, 6, 9, 0, 1, 0, 2, 0], [0, 0, 0, 2, 7, 6, 2, 2, 0, 0, 1], [0, 0, 0, 2, 7, 6, 3, 0, 0, 2, 0], [0, 0, 0, 2, 7, 7, 1, 0, 2, 1, 0], [0, 0, 0, 2, 8, 3, 5, 1, 0, 0, 1], [0, 0, 0, 2, 8, 5, 1, 2, 1, 1, 0], [0, 0, 0, 2, 9, 0, 8, 0, 0, 0, 1], [0, 0, 0, 2, 9, 2, 4, 1, 1, 1, 0], [0, 0, 0, 2, 9, 3, 1, 4, 0, 1, 0], [0, 0, 0, 2, 9, 3, 2, 1, 3, 0, 0], [0, 0, 0, 2, 10, 0, 4, 3, 0, 1, 0], [0, 0, 0, 2, 10, 0, 5, 0, 3, 0, 0], [0, 0, 0, 2, 10, 1, 2, 3, 2, 0, 0], [0, 0, 0, 3, 3, 11, 1, 0, 1, 0, 1], [0, 0, 0, 3, 4, 9, 1, 2, 0, 0, 1], [0, 0, 0, 3, 4, 9, 2, 0, 0, 2, 0], [0, 0, 0, 3, 4, 10, 0, 0, 2, 1, 0], [0, 0, 0, 3, 5, 6, 4, 1, 0, 0, 1], [0, 0, 0, 3, 5, 8, 0, 2, 1, 1, 0], [0, 0, 0, 3, 6, 3, 7, 0, 0, 0, 1], [0, 0, 0, 3, 6, 5, 3, 1, 1, 1, 0], [0, 0, 0, 3, 6, 6, 0, 4, 0, 1, 0], [0, 0, 0, 3, 6, 6, 1, 1, 3, 0, 0], [0, 0, 0, 3, 7, 2, 6, 0, 1, 1, 0], [0, 0, 0, 3, 7, 3, 3, 3, 0, 1, 0], [0, 0, 0, 3, 7, 3, 4, 0, 3, 0, 0], [0, 0, 0, 3, 7, 4, 1, 3, 2, 0, 0], [0, 0, 0, 3, 8, 0, 6, 2, 0, 1, 0], [0, 0, 0, 3, 8, 1, 4, 2, 2, 0, 0], [0, 0, 0, 3, 8, 2, 1, 5, 1, 0, 0], [0, 0, 0, 3, 9, 0, 1, 7, 0, 0, 0], [0, 0, 0, 4, 0, 14, 0, 0, 1, 0, 1], [0, 0, 0, 4, 1, 12, 0, 2, 0, 0, 1], [0, 0, 0, 4, 1, 12, 1, 0, 0, 2, 0], [0, 0, 0, 4, 2, 9, 3, 1, 0, 0, 1], [0, 0, 0, 4, 3, 6, 6, 0, 0, 0, 1], [0, 0, 0, 4, 3, 8, 2, 1, 1, 1, 0], [0, 0, 0, 4, 3, 9, 0, 1, 3, 0, 0], [0, 0, 0, 4, 4, 5, 5, 0, 1, 1, 0], [0, 0, 0, 4, 4, 6, 2, 3, 0, 1, 0], [0, 0, 0, 4, 4, 6, 3, 0, 3, 0, 0], [0, 0, 0, 4, 4, 7, 0, 3, 2, 0, 0], [0, 0, 0, 4, 5, 3, 5, 2, 0, 1, 0], [0, 0, 0, 4, 5, 4, 3, 2, 2, 0, 0], [0, 0, 0, 4, 5, 5, 0, 5, 1, 0, 0], [0, 0, 0, 4, 6, 0, 8, 1, 0, 1, 0], [0, 0, 0, 4, 6, 1, 6, 1, 2, 0, 0], [0, 0, 0, 4, 6, 2, 3, 4, 1, 0, 0], [0, 0, 0, 4, 6, 3, 0, 7, 0, 0, 0], [0, 0, 0, 4, 7, 0, 3, 6, 0, 0, 0], [0, 0, 0, 5, 0, 9, 5, 0, 0, 0, 1], [0, 0, 0, 5, 0, 11, 1, 1, 1, 1, 0], [0, 0, 0, 5, 1, 8, 4, 0, 1, 1, 0], [0, 0, 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0, 4, 9, 5, 0, 0, 1, 0], [1, 0, 0, 0, 4, 10, 3, 0, 2, 0, 0], [1, 0, 0, 0, 4, 11, 0, 3, 1, 0, 0], [1, 0, 0, 0, 5, 8, 3, 2, 1, 0, 0], [1, 0, 0, 0, 5, 9, 0, 5, 0, 0, 0], [1, 0, 0, 0, 6, 5, 6, 1, 1, 0, 0], [1, 0, 0, 0, 6, 6, 3, 4, 0, 0, 0], [1, 0, 0, 0, 7, 2, 9, 0, 1, 0, 0], [1, 0, 0, 0, 7, 3, 6, 3, 0, 0, 0], [1, 0, 0, 0, 8, 0, 9, 2, 0, 0, 0], [1, 0, 0, 1, 0, 15, 1, 1, 0, 1, 0], [1, 0, 0, 1, 1, 12, 4, 0, 0, 1, 0], [1, 0, 0, 1, 1, 13, 2, 0, 2, 0, 0], [1, 0, 0, 1, 2, 11, 2, 2, 1, 0, 0], [1, 0, 0, 1, 3, 8, 5, 1, 1, 0, 0], [1, 0, 0, 1, 3, 9, 2, 4, 0, 0, 0], [1, 0, 0, 1, 4, 5, 8, 0, 1, 0, 0], [1, 0, 0, 1, 4, 6, 5, 3, 0, 0, 0], [1, 0, 0, 1, 5, 3, 8, 2, 0, 0, 0], [1, 0, 0, 1, 6, 0, 11, 1, 0, 0, 0], [1, 0, 0, 2, 0, 11, 4, 1, 1, 0, 0], [1, 0, 0, 2, 0, 12, 1, 4, 0, 0, 0], [1, 0, 0, 2, 1, 8, 7, 0, 1, 0, 0], [1, 0, 0, 2, 1, 9, 4, 3, 0, 0, 0], [1, 0, 0, 2, 2, 6, 7, 2, 0, 0, 0], [1, 0, 0, 2, 3, 3, 10, 1, 0, 0, 0], [1, 0, 0, 2, 4, 0, 13, 0, 0, 0, 0], [1, 0, 0, 3, 0, 6, 9, 1, 0, 0, 0], [1, 0, 0, 3, 1, 3, 12, 0, 0, 0, 0], [1, 0, 1, 0, 0, 13, 3, 1, 1, 0, 0], [1, 0, 1, 0, 0, 14, 0, 4, 0, 0, 0], [1, 0, 1, 0, 1, 10, 6, 0, 1, 0, 0], [1, 0, 1, 0, 1, 11, 3, 3, 0, 0, 0], [1, 0, 1, 0, 2, 8, 6, 2, 0, 0, 0], [1, 0, 1, 0, 3, 5, 9, 1, 0, 0, 0], [1, 0, 1, 0, 4, 2, 12, 0, 0, 0, 0], [1, 0, 1, 1, 0, 8, 8, 1, 0, 0, 0], [1, 0, 1, 1, 1, 5, 11, 0, 0, 0, 0], [1, 1, 0, 0, 0, 9, 9, 0, 0, 0, 0]} (11, 20, 2) has 546 possible DDs: {[0, 0, 0, 0, 3, 13, 1, 1, 0, 1, 0, 1], [0, 0, 0, 0, 3, 14, 0, 0, 0, 2, 1, 0], [0, 0, 0, 0, 4, 10, 4, 0, 0, 1, 0, 1], [0, 0, 0, 0, 4, 11, 2, 0, 2, 0, 0, 1], [0, 0, 0, 0, 4, 11, 2, 1, 0, 0, 2, 0], [0, 0, 0, 0, 5, 8, 5, 0, 0, 0, 2, 0], [0, 0, 0, 0, 5, 9, 2, 2, 1, 0, 0, 1], [0, 0, 0, 0, 5, 10, 1, 1, 1, 1, 1, 0], [0, 0, 0, 0, 6, 6, 5, 1, 1, 0, 0, 1], [0, 0, 0, 0, 6, 7, 2, 4, 0, 0, 0, 1], [0, 0, 0, 0, 6, 7, 4, 0, 1, 1, 1, 0], [0, 0, 0, 0, 6, 8, 1, 3, 0, 1, 1, 0], [0, 0, 0, 0, 6, 8, 2, 0, 3, 0, 1, 0], [0, 0, 0, 0, 6, 8, 2, 1, 0, 3, 0, 0], [0, 0, 0, 0, 6, 9, 0, 1, 2, 2, 0, 0], [0, 0, 0, 0, 7, 3, 8, 0, 1, 0, 0, 1], [0, 0, 0, 0, 7, 4, 5, 3, 0, 0, 0, 1], [0, 0, 0, 0, 7, 5, 4, 2, 0, 1, 1, 0], [0, 0, 0, 0, 7, 5, 5, 0, 0, 3, 0, 0], [0, 0, 0, 0, 7, 6, 2, 2, 2, 0, 1, 0], [0, 0, 0, 0, 7, 6, 3, 0, 2, 2, 0, 0], [0, 0, 0, 0, 7, 7, 0, 3, 1, 2, 0, 0], [0, 0, 0, 0, 7, 7, 1, 0, 4, 1, 0, 0], [0, 0, 0, 0, 8, 1, 8, 2, 0, 0, 0, 1], [0, 0, 0, 0, 8, 2, 7, 1, 0, 1, 1, 0], [0, 0, 0, 0, 8, 3, 5, 1, 2, 0, 1, 0], [0, 0, 0, 0, 8, 4, 2, 4, 1, 0, 1, 0], [0, 0, 0, 0, 8, 4, 3, 2, 1, 2, 0, 0], [0, 0, 0, 0, 8, 5, 0, 5, 0, 2, 0, 0], [0, 0, 0, 0, 8, 5, 1, 2, 3, 1, 0, 0], [0, 0, 0, 0, 9, 0, 8, 0, 2, 0, 1, 0], [0, 0, 0, 0, 9, 1, 5, 3, 1, 0, 1, 0], [0, 0, 0, 0, 9, 1, 6, 1, 1, 2, 0, 0], [0, 0, 0, 0, 9, 2, 2, 6, 0, 0, 1, 0], [0, 0, 0, 0, 9, 2, 3, 4, 0, 2, 0, 0], [0, 0, 0, 0, 9, 2, 4, 1, 3, 1, 0, 0], [0, 0, 0, 0, 9, 3, 1, 4, 2, 1, 0, 0], [0, 0, 0, 0, 9, 3, 2, 1, 5, 0, 0, 0], [0, 0, 0, 0, 10, 0, 4, 3, 2, 1, 0, 0], [0, 0, 0, 0, 10, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 10, 1, 1, 6, 1, 1, 0, 0], [0, 0, 0, 0, 10, 1, 2, 3, 4, 0, 0, 0], [0, 0, 0, 1, 0, 16, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 1, 13, 3, 0, 0, 1, 0, 1], [0, 0, 0, 1, 1, 14, 1, 0, 2, 0, 0, 1], [0, 0, 0, 1, 1, 14, 1, 1, 0, 0, 2, 0], [0, 0, 0, 1, 2, 11, 4, 0, 0, 0, 2, 0], [0, 0, 0, 1, 2, 12, 1, 2, 1, 0, 0, 1], [0, 0, 0, 1, 2, 13, 0, 1, 1, 1, 1, 0], [0, 0, 0, 1, 3, 9, 4, 1, 1, 0, 0, 1], [0, 0, 0, 1, 3, 10, 1, 4, 0, 0, 0, 1], [0, 0, 0, 1, 3, 10, 3, 0, 1, 1, 1, 0], [0, 0, 0, 1, 3, 11, 0, 3, 0, 1, 1, 0], [0, 0, 0, 1, 3, 11, 1, 0, 3, 0, 1, 0], [0, 0, 0, 1, 3, 11, 1, 1, 0, 3, 0, 0], [0, 0, 0, 1, 4, 6, 7, 0, 1, 0, 0, 1], [0, 0, 0, 1, 4, 7, 4, 3, 0, 0, 0, 1], [0, 0, 0, 1, 4, 8, 3, 2, 0, 1, 1, 0], [0, 0, 0, 1, 4, 8, 4, 0, 0, 3, 0, 0], [0, 0, 0, 1, 4, 9, 1, 2, 2, 0, 1, 0], [0, 0, 0, 1, 4, 9, 2, 0, 2, 2, 0, 0], [0, 0, 0, 1, 4, 10, 0, 0, 4, 1, 0, 0], [0, 0, 0, 1, 5, 4, 7, 2, 0, 0, 0, 1], [0, 0, 0, 1, 5, 5, 6, 1, 0, 1, 1, 0], [0, 0, 0, 1, 5, 6, 4, 1, 2, 0, 1, 0], [0, 0, 0, 1, 5, 7, 1, 4, 1, 0, 1, 0], [0, 0, 0, 1, 5, 7, 2, 2, 1, 2, 0, 0], [0, 0, 0, 1, 5, 8, 0, 2, 3, 1, 0, 0], [0, 0, 0, 1, 6, 1, 10, 1, 0, 0, 0, 1], [0, 0, 0, 1, 6, 2, 9, 0, 0, 1, 1, 0], [0, 0, 0, 1, 6, 3, 7, 0, 2, 0, 1, 0], [0, 0, 0, 1, 6, 4, 4, 3, 1, 0, 1, 0], [0, 0, 0, 1, 6, 4, 5, 1, 1, 2, 0, 0], [0, 0, 0, 1, 6, 5, 1, 6, 0, 0, 1, 0], [0, 0, 0, 1, 6, 5, 2, 4, 0, 2, 0, 0], [0, 0, 0, 1, 6, 5, 3, 1, 3, 1, 0, 0], [0, 0, 0, 1, 6, 6, 0, 4, 2, 1, 0, 0], [0, 0, 0, 1, 6, 6, 1, 1, 5, 0, 0, 0], [0, 0, 0, 1, 7, 1, 7, 2, 1, 0, 1, 0], [0, 0, 0, 1, 7, 1, 8, 0, 1, 2, 0, 0], [0, 0, 0, 1, 7, 2, 4, 5, 0, 0, 1, 0], [0, 0, 0, 1, 7, 2, 5, 3, 0, 2, 0, 0], [0, 0, 0, 1, 7, 2, 6, 0, 3, 1, 0, 0], [0, 0, 0, 1, 7, 3, 3, 3, 2, 1, 0, 0], [0, 0, 0, 1, 7, 3, 4, 0, 5, 0, 0, 0], [0, 0, 0, 1, 7, 4, 0, 6, 1, 1, 0, 0], [0, 0, 0, 1, 7, 4, 1, 3, 4, 0, 0, 0], [0, 0, 0, 1, 8, 0, 6, 2, 2, 1, 0, 0], [0, 0, 0, 1, 8, 1, 3, 5, 1, 1, 0, 0], [0, 0, 0, 1, 8, 1, 4, 2, 4, 0, 0, 0], [0, 0, 0, 1, 8, 2, 0, 8, 0, 1, 0, 0], [0, 0, 0, 1, 8, 2, 1, 5, 3, 0, 0, 0], [0, 0, 0, 1, 9, 0, 1, 7, 2, 0, 0, 0], [0, 0, 0, 2, 0, 12, 3, 1, 1, 0, 0, 1], [0, 0, 0, 2, 0, 13, 0, 4, 0, 0, 0, 1], [0, 0, 0, 2, 0, 13, 2, 0, 1, 1, 1, 0], [0, 0, 0, 2, 0, 14, 0, 0, 3, 0, 1, 0], [0, 0, 0, 2, 0, 14, 0, 1, 0, 3, 0, 0], [0, 0, 0, 2, 1, 9, 6, 0, 1, 0, 0, 1], [0, 0, 0, 2, 1, 10, 3, 3, 0, 0, 0, 1], [0, 0, 0, 2, 1, 11, 2, 2, 0, 1, 1, 0], [0, 0, 0, 2, 1, 11, 3, 0, 0, 3, 0, 0], [0, 0, 0, 2, 1, 12, 0, 2, 2, 0, 1, 0], [0, 0, 0, 2, 1, 12, 1, 0, 2, 2, 0, 0], [0, 0, 0, 2, 2, 7, 6, 2, 0, 0, 0, 1], [0, 0, 0, 2, 2, 8, 5, 1, 0, 1, 1, 0], [0, 0, 0, 2, 2, 9, 3, 1, 2, 0, 1, 0], [0, 0, 0, 2, 2, 10, 0, 4, 1, 0, 1, 0], [0, 0, 0, 2, 2, 10, 1, 2, 1, 2, 0, 0], [0, 0, 0, 2, 3, 4, 9, 1, 0, 0, 0, 1], [0, 0, 0, 2, 3, 5, 8, 0, 0, 1, 1, 0], [0, 0, 0, 2, 3, 6, 6, 0, 2, 0, 1, 0], [0, 0, 0, 2, 3, 7, 3, 3, 1, 0, 1, 0], [0, 0, 0, 2, 3, 7, 4, 1, 1, 2, 0, 0], [0, 0, 0, 2, 3, 8, 0, 6, 0, 0, 1, 0], [0, 0, 0, 2, 3, 8, 1, 4, 0, 2, 0, 0], [0, 0, 0, 2, 3, 8, 2, 1, 3, 1, 0, 0], [0, 0, 0, 2, 3, 9, 0, 1, 5, 0, 0, 0], [0, 0, 0, 2, 4, 1, 12, 0, 0, 0, 0, 1], [0, 0, 0, 2, 4, 4, 6, 2, 1, 0, 1, 0], [0, 0, 0, 2, 4, 4, 7, 0, 1, 2, 0, 0], [0, 0, 0, 2, 4, 5, 3, 5, 0, 0, 1, 0], [0, 0, 0, 2, 4, 5, 4, 3, 0, 2, 0, 0], [0, 0, 0, 2, 4, 5, 5, 0, 3, 1, 0, 0], [0, 0, 0, 2, 4, 6, 2, 3, 2, 1, 0, 0], [0, 0, 0, 2, 4, 6, 3, 0, 5, 0, 0, 0], [0, 0, 0, 2, 4, 7, 0, 3, 4, 0, 0, 0], [0, 0, 0, 2, 5, 1, 9, 1, 1, 0, 1, 0], [0, 0, 0, 2, 5, 2, 6, 4, 0, 0, 1, 0], [0, 0, 0, 2, 5, 2, 7, 2, 0, 2, 0, 0], [0, 0, 0, 2, 5, 3, 5, 2, 2, 1, 0, 0], [0, 0, 0, 2, 5, 4, 2, 5, 1, 1, 0, 0], [0, 0, 0, 2, 5, 4, 3, 2, 4, 0, 0, 0], [0, 0, 0, 2, 5, 5, 0, 5, 3, 0, 0, 0], [0, 0, 0, 2, 6, 0, 8, 1, 2, 1, 0, 0], [0, 0, 0, 2, 6, 1, 5, 4, 1, 1, 0, 0], [0, 0, 0, 2, 6, 1, 6, 1, 4, 0, 0, 0], [0, 0, 0, 2, 6, 2, 2, 7, 0, 1, 0, 0], [0, 0, 0, 2, 6, 2, 3, 4, 3, 0, 0, 0], [0, 0, 0, 2, 6, 3, 0, 7, 2, 0, 0, 0], [0, 0, 0, 2, 7, 0, 3, 6, 2, 0, 0, 0], [0, 0, 0, 2, 7, 1, 0, 9, 1, 0, 0, 0], [0, 0, 0, 3, 0, 7, 8, 1, 0, 0, 0, 1], [0, 0, 0, 3, 0, 8, 7, 0, 0, 1, 1, 0], [0, 0, 0, 3, 0, 9, 5, 0, 2, 0, 1, 0], [0, 0, 0, 3, 0, 10, 2, 3, 1, 0, 1, 0], [0, 0, 0, 3, 0, 10, 3, 1, 1, 2, 0, 0], [0, 0, 0, 3, 0, 11, 0, 4, 0, 2, 0, 0], [0, 0, 0, 3, 0, 11, 1, 1, 3, 1, 0, 0], [0, 0, 0, 3, 1, 4, 11, 0, 0, 0, 0, 1], [0, 0, 0, 3, 1, 7, 5, 2, 1, 0, 1, 0], [0, 0, 0, 3, 1, 7, 6, 0, 1, 2, 0, 0], [0, 0, 0, 3, 1, 8, 2, 5, 0, 0, 1, 0], [0, 0, 0, 3, 1, 8, 3, 3, 0, 2, 0, 0], [0, 0, 0, 3, 1, 8, 4, 0, 3, 1, 0, 0], [0, 0, 0, 3, 1, 9, 1, 3, 2, 1, 0, 0], [0, 0, 0, 3, 1, 9, 2, 0, 5, 0, 0, 0], [0, 0, 0, 3, 2, 4, 8, 1, 1, 0, 1, 0], [0, 0, 0, 3, 2, 5, 5, 4, 0, 0, 1, 0], [0, 0, 0, 3, 2, 5, 6, 2, 0, 2, 0, 0], [0, 0, 0, 3, 2, 6, 4, 2, 2, 1, 0, 0], [0, 0, 0, 3, 2, 7, 1, 5, 1, 1, 0, 0], [0, 0, 0, 3, 2, 7, 2, 2, 4, 0, 0, 0], [0, 0, 0, 3, 3, 1, 11, 0, 1, 0, 1, 0], [0, 0, 0, 3, 3, 2, 8, 3, 0, 0, 1, 0], [0, 0, 0, 3, 3, 2, 9, 1, 0, 2, 0, 0], [0, 0, 0, 3, 3, 3, 7, 1, 2, 1, 0, 0], [0, 0, 0, 3, 3, 4, 4, 4, 1, 1, 0, 0], [0, 0, 0, 3, 3, 4, 5, 1, 4, 0, 0, 0], [0, 0, 0, 3, 3, 5, 1, 7, 0, 1, 0, 0], [0, 0, 0, 3, 3, 5, 2, 4, 3, 0, 0, 0], [0, 0, 0, 3, 4, 0, 10, 0, 2, 1, 0, 0], [0, 0, 0, 3, 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3, 0, 1, 0, 0], [0, 1, 0, 1, 3, 2, 10, 0, 3, 0, 0, 0], [0, 1, 0, 1, 3, 3, 7, 3, 2, 0, 0, 0], [0, 1, 0, 1, 3, 4, 4, 6, 1, 0, 0, 0], [0, 1, 0, 1, 3, 5, 1, 9, 0, 0, 0, 0], [0, 1, 0, 1, 4, 0, 10, 2, 2, 0, 0, 0], [0, 1, 0, 1, 4, 1, 7, 5, 1, 0, 0, 0], [0, 1, 0, 1, 4, 2, 4, 8, 0, 0, 0, 0], [0, 1, 0, 2, 0, 4, 11, 0, 1, 1, 0, 0], [0, 1, 0, 2, 0, 5, 8, 3, 0, 1, 0, 0], [0, 1, 0, 2, 0, 5, 9, 0, 3, 0, 0, 0], [0, 1, 0, 2, 0, 6, 6, 3, 2, 0, 0, 0], [0, 1, 0, 2, 0, 7, 3, 6, 1, 0, 0, 0], [0, 1, 0, 2, 0, 8, 0, 9, 0, 0, 0, 0], [0, 1, 0, 2, 1, 2, 11, 2, 0, 1, 0, 0], [0, 1, 0, 2, 1, 3, 9, 2, 2, 0, 0, 0], [0, 1, 0, 2, 1, 4, 6, 5, 1, 0, 0, 0], [0, 1, 0, 2, 1, 5, 3, 8, 0, 0, 0, 0], [0, 1, 0, 2, 2, 0, 12, 1, 2, 0, 0, 0], [0, 1, 0, 2, 2, 1, 9, 4, 1, 0, 0, 0], [0, 1, 0, 2, 2, 2, 6, 7, 0, 0, 0, 0], [0, 1, 0, 3, 0, 0, 14, 0, 2, 0, 0, 0], [0, 1, 0, 3, 0, 1, 11, 3, 1, 0, 0, 0], [0, 1, 0, 3, 0, 2, 8, 6, 0, 0, 0, 0], [0, 1, 1, 0, 0, 6, 10, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 7, 7, 3, 0, 1, 0, 0], [0, 1, 1, 0, 0, 7, 8, 0, 3, 0, 0, 0], [0, 1, 1, 0, 0, 8, 5, 3, 2, 0, 0, 0], [0, 1, 1, 0, 0, 9, 2, 6, 1, 0, 0, 0], [0, 1, 1, 0, 1, 4, 10, 2, 0, 1, 0, 0], [0, 1, 1, 0, 1, 5, 8, 2, 2, 0, 0, 0], [0, 1, 1, 0, 1, 6, 5, 5, 1, 0, 0, 0], [0, 1, 1, 0, 1, 7, 2, 8, 0, 0, 0, 0], [0, 1, 1, 0, 2, 1, 13, 1, 0, 1, 0, 0], [0, 1, 1, 0, 2, 2, 11, 1, 2, 0, 0, 0], [0, 1, 1, 0, 2, 3, 8, 4, 1, 0, 0, 0], [0, 1, 1, 0, 2, 4, 5, 7, 0, 0, 0, 0], [0, 1, 1, 0, 3, 0, 11, 3, 1, 0, 0, 0], [0, 1, 1, 0, 3, 1, 8, 6, 0, 0, 0, 0], [0, 1, 1, 1, 0, 1, 15, 0, 0, 1, 0, 0], [0, 1, 1, 1, 0, 2, 13, 0, 2, 0, 0, 0], [0, 1, 1, 1, 0, 3, 10, 3, 1, 0, 0, 0], [0, 1, 1, 1, 0, 4, 7, 6, 0, 0, 0, 0], [0, 1, 1, 1, 1, 0, 13, 2, 1, 0, 0, 0], [0, 1, 1, 1, 1, 1, 10, 5, 0, 0, 0, 0], [0, 1, 2, 0, 0, 0, 14, 3, 0, 0, 0, 0], [0, 2, 0, 0, 0, 4, 11, 2, 1, 0, 0, 0], [0, 2, 0, 0, 0, 5, 8, 5, 0, 0, 0, 0], [0, 2, 0, 0, 1, 1, 14, 1, 1, 0, 0, 0], [0, 2, 0, 0, 1, 2, 11, 4, 0, 0, 0, 0], [1, 0, 0, 0, 0, 8, 10, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 10, 6, 1, 1, 1, 0, 0], [1, 0, 0, 0, 0, 11, 3, 4, 0, 1, 0, 0], [1, 0, 0, 0, 0, 11, 4, 1, 3, 0, 0, 0], [1, 0, 0, 0, 0, 12, 1, 4, 2, 0, 0, 0], [1, 0, 0, 0, 1, 7, 9, 0, 1, 1, 0, 0], [1, 0, 0, 0, 1, 8, 6, 3, 0, 1, 0, 0], [1, 0, 0, 0, 1, 8, 7, 0, 3, 0, 0, 0], [1, 0, 0, 0, 1, 9, 4, 3, 2, 0, 0, 0], [1, 0, 0, 0, 1, 10, 1, 6, 1, 0, 0, 0], [1, 0, 0, 0, 2, 5, 9, 2, 0, 1, 0, 0], [1, 0, 0, 0, 2, 6, 7, 2, 2, 0, 0, 0], [1, 0, 0, 0, 2, 7, 4, 5, 1, 0, 0, 0], [1, 0, 0, 0, 2, 8, 1, 8, 0, 0, 0, 0], [1, 0, 0, 0, 3, 2, 12, 1, 0, 1, 0, 0], [1, 0, 0, 0, 3, 3, 10, 1, 2, 0, 0, 0], [1, 0, 0, 0, 3, 4, 7, 4, 1, 0, 0, 0], [1, 0, 0, 0, 3, 5, 4, 7, 0, 0, 0, 0], [1, 0, 0, 0, 4, 0, 13, 0, 2, 0, 0, 0], [1, 0, 0, 0, 4, 1, 10, 3, 1, 0, 0, 0], [1, 0, 0, 0, 4, 2, 7, 6, 0, 0, 0, 0], [1, 0, 0, 1, 0, 5, 11, 1, 0, 1, 0, 0], [1, 0, 0, 1, 0, 6, 9, 1, 2, 0, 0, 0], [1, 0, 0, 1, 0, 7, 6, 4, 1, 0, 0, 0], [1, 0, 0, 1, 0, 8, 3, 7, 0, 0, 0, 0], [1, 0, 0, 1, 1, 2, 14, 0, 0, 1, 0, 0], [1, 0, 0, 1, 1, 3, 12, 0, 2, 0, 0, 0], [1, 0, 0, 1, 1, 4, 9, 3, 1, 0, 0, 0], [1, 0, 0, 1, 1, 5, 6, 6, 0, 0, 0, 0], [1, 0, 0, 1, 2, 1, 12, 2, 1, 0, 0, 0], [1, 0, 0, 1, 2, 2, 9, 5, 0, 0, 0, 0], [1, 0, 0, 2, 0, 1, 14, 1, 1, 0, 0, 0], [1, 0, 0, 2, 0, 2, 11, 4, 0, 0, 0, 0], [1, 0, 1, 0, 0, 3, 13, 1, 1, 0, 0, 0], [1, 0, 1, 0, 0, 4, 10, 4, 0, 0, 0, 0], [1, 0, 1, 0, 1, 0, 16, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 1, 13, 3, 0, 0, 0, 0]} (12, 20, 2) has 752 possible DDs: {[0, 0, 0, 0, 0, 10, 8, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 11, 6, 0, 1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 12, 3, 3, 0, 1, 0, 0, 1], [0, 0, 0, 0, 0, 12, 4, 0, 3, 0, 0, 0, 1], [0, 0, 0, 0, 0, 12, 5, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 13, 1, 3, 2, 0, 0, 0, 1], [0, 0, 0, 0, 0, 13, 2, 2, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 13, 3, 0, 1, 2, 0, 1, 0], [0, 0, 0, 0, 0, 14, 0, 3, 0, 2, 0, 1, 0], [0, 0, 0, 0, 0, 14, 1, 0, 3, 1, 0, 1, 0], [0, 0, 0, 0, 0, 14, 1, 1, 1, 1, 2, 0, 0], [0, 0, 0, 0, 0, 15, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 1, 9, 6, 2, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 10, 4, 2, 2, 0, 0, 0, 1], [0, 0, 0, 0, 1, 10, 5, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 11, 1, 5, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 11, 2, 4, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 11, 3, 2, 0, 2, 0, 1, 0], [0, 0, 0, 0, 1, 11, 4, 0, 1, 1, 2, 0, 0], [0, 0, 0, 0, 1, 12, 1, 2, 2, 1, 0, 1, 0], [0, 0, 0, 0, 1, 12, 1, 3, 0, 1, 2, 0, 0], [0, 0, 0, 0, 1, 12, 2, 0, 3, 0, 2, 0, 0], [0, 0, 0, 0, 1, 12, 2, 1, 0, 3, 1, 0, 0], [0, 0, 0, 0, 1, 13, 0, 1, 2, 2, 1, 0, 0], [0, 0, 0, 0, 2, 6, 9, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 2, 7, 7, 1, 2, 0, 0, 0, 1], [0, 0, 0, 0, 2, 7, 8, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 2, 8, 4, 4, 1, 0, 0, 0, 1], [0, 0, 0, 0, 2, 8, 5, 3, 0, 0, 1, 1, 0], [0, 0, 0, 0, 2, 8, 6, 1, 0, 2, 0, 1, 0], [0, 0, 0, 0, 2, 9, 1, 7, 0, 0, 0, 0, 1], [0, 0, 0, 0, 2, 9, 4, 1, 2, 1, 0, 1, 0], [0, 0, 0, 0, 2, 9, 4, 2, 0, 1, 2, 0, 0], [0, 0, 0, 0, 2, 9, 5, 0, 0, 3, 1, 0, 0], [0, 0, 0, 0, 2, 10, 1, 4, 1, 1, 0, 1, 0], [0, 0, 0, 0, 2, 10, 2, 1, 4, 0, 0, 1, 0], [0, 0, 0, 0, 2, 10, 2, 2, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 10, 3, 0, 2, 2, 1, 0, 0], [0, 0, 0, 0, 2, 11, 0, 3, 1, 2, 1, 0, 0], [0, 0, 0, 0, 2, 11, 1, 0, 4, 1, 1, 0, 0], [0, 0, 0, 0, 2, 11, 1, 1, 1, 4, 0, 0, 0], [0, 0, 0, 0, 3, 3, 12, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 3, 4, 10, 0, 2, 0, 0, 0, 1], [0, 0, 0, 0, 3, 5, 7, 3, 1, 0, 0, 0, 1], [0, 0, 0, 0, 3, 5, 8, 2, 0, 0, 1, 1, 0], [0, 0, 0, 0, 3, 5, 9, 0, 0, 2, 0, 1, 0], [0, 0, 0, 0, 3, 6, 4, 6, 0, 0, 0, 0, 1], [0, 0, 0, 0, 3, 6, 7, 0, 2, 1, 0, 1, 0], [0, 0, 0, 0, 3, 6, 7, 1, 0, 1, 2, 0, 0], [0, 0, 0, 0, 3, 7, 4, 3, 1, 1, 0, 1, 0], [0, 0, 0, 0, 3, 7, 5, 0, 4, 0, 0, 1, 0], [0, 0, 0, 0, 3, 7, 5, 1, 2, 0, 2, 0, 0], [0, 0, 0, 0, 3, 8, 1, 6, 0, 1, 0, 1, 0], [0, 0, 0, 0, 3, 8, 2, 3, 3, 0, 0, 1, 0], [0, 0, 0, 0, 3, 8, 2, 4, 1, 0, 2, 0, 0], [0, 0, 0, 0, 3, 8, 3, 2, 1, 2, 1, 0, 0], [0, 0, 0, 0, 3, 8, 4, 0, 1, 4, 0, 0, 0], [0, 0, 0, 0, 3, 9, 0, 5, 0, 2, 1, 0, 0], [0, 0, 0, 0, 3, 9, 1, 2, 3, 1, 1, 0, 0], [0, 0, 0, 0, 3, 9, 1, 3, 0, 4, 0, 0, 0], [0, 0, 0, 0, 3, 9, 2, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 3, 10, 0, 0, 5, 2, 0, 0, 0], [0, 0, 0, 0, 4, 2, 10, 2, 1, 0, 0, 0, 1], [0, 0, 0, 0, 4, 2, 11, 1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 4, 3, 7, 5, 0, 0, 0, 0, 1], [0, 0, 0, 0, 4, 3, 10, 0, 0, 1, 2, 0, 0], [0, 0, 0, 0, 4, 4, 7, 2, 1, 1, 0, 1, 0], [0, 0, 0, 0, 4, 4, 8, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 4, 5, 4, 5, 0, 1, 0, 1, 0], [0, 0, 0, 0, 4, 5, 5, 2, 3, 0, 0, 1, 0], [0, 0, 0, 0, 4, 5, 5, 3, 1, 0, 2, 0, 0], [0, 0, 0, 0, 4, 5, 6, 1, 1, 2, 1, 0, 0], [0, 0, 0, 0, 4, 6, 2, 5, 2, 0, 0, 1, 0], [0, 0, 0, 0, 4, 6, 2, 6, 0, 0, 2, 0, 0], [0, 0, 0, 0, 4, 6, 3, 4, 0, 2, 1, 0, 0], [0, 0, 0, 0, 4, 6, 4, 1, 3, 1, 1, 0, 0], [0, 0, 0, 0, 4, 6, 4, 2, 0, 4, 0, 0, 0], [0, 0, 0, 0, 4, 7, 1, 4, 2, 1, 1, 0, 0], [0, 0, 0, 0, 4, 7, 2, 1, 5, 0, 1, 0, 0], [0, 0, 0, 0, 4, 7, 2, 2, 2, 3, 0, 0, 0], [0, 0, 0, 0, 4, 8, 0, 2, 4, 2, 0, 0, 0], [0, 0, 0, 0, 5, 0, 10, 4, 0, 0, 0, 0, 1], [0, 0, 0, 0, 5, 1, 10, 1, 1, 1, 0, 1, 0], [0, 0, 0, 0, 5, 2, 7, 4, 0, 1, 0, 1, 0], [0, 0, 0, 0, 5, 2, 8, 1, 3, 0, 0, 1, 0], [0, 0, 0, 0, 5, 2, 8, 2, 1, 0, 2, 0, 0], [0, 0, 0, 0, 5, 2, 9, 0, 1, 2, 1, 0, 0], [0, 0, 0, 0, 5, 3, 5, 4, 2, 0, 0, 1, 0], [0, 0, 0, 0, 5, 3, 5, 5, 0, 0, 2, 0, 0], [0, 0, 0, 0, 5, 3, 6, 3, 0, 2, 1, 0, 0], [0, 0, 0, 0, 5, 3, 7, 0, 3, 1, 1, 0, 0], [0, 0, 0, 0, 5, 3, 7, 1, 0, 4, 0, 0, 0], [0, 0, 0, 0, 5, 4, 2, 7, 1, 0, 0, 1, 0], [0, 0, 0, 0, 5, 4, 4, 3, 2, 1, 1, 0, 0], [0, 0, 0, 0, 5, 4, 5, 0, 5, 0, 1, 0, 0], [0, 0, 0, 0, 5, 4, 5, 1, 2, 3, 0, 0, 0], [0, 0, 0, 0, 5, 5, 1, 6, 1, 1, 1, 0, 0], [0, 0, 0, 0, 5, 5, 2, 3, 4, 0, 1, 0, 0], [0, 0, 0, 0, 5, 5, 2, 4, 1, 3, 0, 0, 0], [0, 0, 0, 0, 5, 5, 3, 1, 4, 2, 0, 0, 0], [0, 0, 0, 0, 5, 6, 0, 4, 3, 2, 0, 0, 0], [0, 0, 0, 0, 5, 6, 1, 1, 6, 1, 0, 0, 0], [0, 0, 0, 0, 6, 0, 8, 3, 2, 0, 0, 1, 0], [0, 0, 0, 0, 6, 0, 8, 4, 0, 0, 2, 0, 0], [0, 0, 0, 0, 6, 0, 9, 2, 0, 2, 1, 0, 0], [0, 0, 0, 0, 6, 0, 10, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 6, 1, 5, 6, 1, 0, 0, 1, 0], [0, 0, 0, 0, 6, 1, 7, 2, 2, 1, 1, 0, 0], [0, 0, 0, 0, 6, 1, 8, 0, 2, 3, 0, 0, 0], [0, 0, 0, 0, 6, 2, 2, 9, 0, 0, 0, 1, 0], [0, 0, 0, 0, 6, 2, 4, 5, 1, 1, 1, 0, 0], [0, 0, 0, 0, 6, 2, 5, 2, 4, 0, 1, 0, 0], [0, 0, 0, 0, 6, 2, 5, 3, 1, 3, 0, 0, 0], [0, 0, 0, 0, 6, 2, 6, 0, 4, 2, 0, 0, 0], [0, 0, 0, 0, 6, 3, 1, 8, 0, 1, 1, 0, 0], [0, 0, 0, 0, 6, 3, 2, 5, 3, 0, 1, 0, 0], [0, 0, 0, 0, 6, 3, 2, 6, 0, 3, 0, 0, 0], [0, 0, 0, 0, 6, 3, 3, 3, 3, 2, 0, 0, 0], [0, 0, 0, 0, 6, 3, 4, 0, 6, 1, 0, 0, 0], [0, 0, 0, 0, 6, 4, 0, 6, 2, 2, 0, 0, 0], [0, 0, 0, 0, 6, 4, 1, 3, 5, 1, 0, 0, 0], [0, 0, 0, 0, 6, 4, 2, 0, 8, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 4, 7, 0, 1, 1, 0, 0], [0, 0, 0, 0, 7, 0, 5, 4, 3, 0, 1, 0, 0], [0, 0, 0, 0, 7, 0, 5, 5, 0, 3, 0, 0, 0], [0, 0, 0, 0, 7, 0, 6, 2, 3, 2, 0, 0, 0], [0, 0, 0, 0, 7, 1, 2, 7, 2, 0, 1, 0, 0], [0, 0, 0, 0, 7, 1, 3, 5, 2, 2, 0, 0, 0], [0, 0, 0, 0, 7, 1, 4, 2, 5, 1, 0, 0, 0], [0, 0, 0, 0, 7, 2, 0, 8, 1, 2, 0, 0, 0], [0, 0, 0, 0, 7, 2, 1, 5, 4, 1, 0, 0, 0], [0, 0, 0, 0, 7, 2, 2, 2, 7, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 10, 0, 2, 0, 0, 0], [0, 0, 0, 0, 8, 0, 1, 7, 3, 1, 0, 0, 0], [0, 0, 0, 0, 8, 0, 2, 4, 6, 0, 0, 0, 0], [0, 0, 0, 1, 0, 6, 11, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 7, 9, 0, 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0, 1, 0, 0, 0], [0, 1, 0, 0, 3, 3, 2, 8, 3, 0, 0, 0, 0], [0, 1, 0, 0, 4, 0, 4, 10, 0, 1, 0, 0, 0], [0, 1, 0, 0, 4, 0, 5, 7, 3, 0, 0, 0, 0], [0, 1, 0, 0, 4, 1, 2, 10, 2, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 15, 1, 0, 1, 1, 0, 0], [0, 1, 0, 1, 0, 1, 13, 1, 2, 0, 1, 0, 0], [0, 1, 0, 1, 0, 2, 10, 4, 1, 0, 1, 0, 0], [0, 1, 0, 1, 0, 2, 11, 2, 1, 2, 0, 0, 0], [0, 1, 0, 1, 0, 3, 7, 7, 0, 0, 1, 0, 0], [0, 1, 0, 1, 0, 3, 8, 5, 0, 2, 0, 0, 0], [0, 1, 0, 1, 0, 3, 9, 2, 3, 1, 0, 0, 0], [0, 1, 0, 1, 0, 4, 6, 5, 2, 1, 0, 0, 0], [0, 1, 0, 1, 0, 4, 7, 2, 5, 0, 0, 0, 0], [0, 1, 0, 1, 0, 5, 3, 8, 1, 1, 0, 0, 0], [0, 1, 0, 1, 0, 5, 4, 5, 4, 0, 0, 0, 0], [0, 1, 0, 1, 0, 6, 0, 11, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 6, 1, 8, 3, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0, 10, 6, 0, 0, 1, 0, 0], [0, 1, 0, 1, 1, 0, 11, 4, 0, 2, 0, 0, 0], [0, 1, 0, 1, 1, 0, 12, 1, 3, 1, 0, 0, 0], [0, 1, 0, 1, 1, 1, 9, 4, 2, 1, 0, 0, 0], [0, 1, 0, 1, 1, 1, 10, 1, 5, 0, 0, 0, 0], [0, 1, 0, 1, 1, 2, 6, 7, 1, 1, 0, 0, 0], [0, 1, 0, 1, 1, 2, 7, 4, 4, 0, 0, 0, 0], [0, 1, 0, 1, 1, 3, 3, 10, 0, 1, 0, 0, 0], [0, 1, 0, 1, 1, 3, 4, 7, 3, 0, 0, 0, 0], [0, 1, 0, 1, 1, 4, 1, 10, 2, 0, 0, 0, 0], [0, 1, 0, 1, 2, 0, 6, 9, 0, 1, 0, 0, 0], [0, 1, 0, 1, 2, 0, 7, 6, 3, 0, 0, 0, 0], [0, 1, 0, 1, 2, 1, 4, 9, 2, 0, 0, 0, 0], [0, 1, 0, 1, 2, 2, 1, 12, 1, 0, 0, 0, 0], [0, 1, 0, 1, 3, 0, 1, 14, 0, 0, 0, 0, 0], [0, 1, 0, 2, 0, 0, 8, 8, 0, 1, 0, 0, 0], [0, 1, 0, 2, 0, 0, 9, 5, 3, 0, 0, 0, 0], [0, 1, 0, 2, 0, 1, 6, 8, 2, 0, 0, 0, 0], [0, 1, 0, 2, 0, 2, 3, 11, 1, 0, 0, 0, 0], [0, 1, 0, 2, 0, 3, 0, 14, 0, 0, 0, 0, 0], [0, 1, 0, 2, 1, 0, 3, 13, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 13, 2, 2, 1, 0, 0, 0], [0, 1, 1, 0, 0, 1, 10, 5, 1, 1, 0, 0, 0], [0, 1, 1, 0, 0, 1, 11, 2, 4, 0, 0, 0, 0], [0, 1, 1, 0, 0, 2, 7, 8, 0, 1, 0, 0, 0], [0, 1, 1, 0, 0, 2, 8, 5, 3, 0, 0, 0, 0], [0, 1, 1, 0, 0, 3, 5, 8, 2, 0, 0, 0, 0], [0, 1, 1, 0, 0, 4, 2, 11, 1, 0, 0, 0, 0], [0, 1, 1, 0, 1, 0, 8, 7, 2, 0, 0, 0, 0], [0, 1, 1, 0, 1, 1, 5, 10, 1, 0, 0, 0, 0], [0, 1, 1, 0, 1, 2, 2, 13, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 8, 10, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 2, 13, 2, 1, 0, 1, 0, 0], [1, 0, 0, 0, 0, 2, 14, 0, 1, 2, 0, 0, 0], [1, 0, 0, 0, 0, 3, 10, 5, 0, 0, 1, 0, 0], [1, 0, 0, 0, 0, 3, 11, 3, 0, 2, 0, 0, 0], [1, 0, 0, 0, 0, 3, 12, 0, 3, 1, 0, 0, 0], [1, 0, 0, 0, 0, 4, 9, 3, 2, 1, 0, 0, 0], [1, 0, 0, 0, 0, 4, 10, 0, 5, 0, 0, 0, 0], [1, 0, 0, 0, 0, 5, 6, 6, 1, 1, 0, 0, 0], [1, 0, 0, 0, 0, 5, 7, 3, 4, 0, 0, 0, 0], [1, 0, 0, 0, 0, 6, 3, 9, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 6, 4, 6, 3, 0, 0, 0, 0], [1, 0, 0, 0, 0, 7, 1, 9, 2, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 13, 4, 0, 0, 1, 0, 0], [1, 0, 0, 0, 1, 0, 14, 2, 0, 2, 0, 0, 0], [1, 0, 0, 0, 1, 1, 12, 2, 2, 1, 0, 0, 0], [1, 0, 0, 0, 1, 2, 9, 5, 1, 1, 0, 0, 0], [1, 0, 0, 0, 1, 2, 10, 2, 4, 0, 0, 0, 0], [1, 0, 0, 0, 1, 3, 6, 8, 0, 1, 0, 0, 0], [1, 0, 0, 0, 1, 3, 7, 5, 3, 0, 0, 0, 0], [1, 0, 0, 0, 1, 4, 4, 8, 2, 0, 0, 0, 0], [1, 0, 0, 0, 1, 5, 1, 11, 1, 0, 0, 0, 0], [1, 0, 0, 0, 2, 0, 9, 7, 0, 1, 0, 0, 0], [1, 0, 0, 0, 2, 0, 10, 4, 3, 0, 0, 0, 0], [1, 0, 0, 0, 2, 1, 7, 7, 2, 0, 0, 0, 0], [1, 0, 0, 0, 2, 2, 4, 10, 1, 0, 0, 0, 0], [1, 0, 0, 0, 2, 3, 1, 13, 0, 0, 0, 0, 0], [1, 0, 0, 0, 3, 0, 4, 12, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 11, 6, 0, 1, 0, 0, 0], [1, 0, 0, 1, 0, 0, 12, 3, 3, 0, 0, 0, 0], [1, 0, 0, 1, 0, 1, 9, 6, 2, 0, 0, 0, 0], [1, 0, 0, 1, 0, 2, 6, 9, 1, 0, 0, 0, 0], [1, 0, 0, 1, 0, 3, 3, 12, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 0, 6, 11, 0, 0, 0, 0, 0]} (13, 20, 2) has 1036 possible DDs: {[0, 0, 0, 0, 0, 3, 13, 2, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 0, 3, 14, 0, 0, 2, 0, 0, 0, 1], [0, 0, 0, 0, 0, 4, 12, 0, 2, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 4, 12, 1, 1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 4, 13, 0, 0, 0, 1, 2, 0, 0], [0, 0, 0, 0, 0, 5, 9, 3, 1, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 5, 9, 4, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 5, 10, 0, 4, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 5, 11, 0, 1, 1, 1, 0, 1, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 6, 7, 3, 3, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 6, 8, 3, 0, 1, 1, 0, 1, 0], [0, 0, 0, 0, 0, 6, 9, 0, 3, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 6, 9, 1, 0, 3, 0, 0, 1, 0], [0, 0, 0, 0, 0, 6, 9, 1, 1, 1, 0, 2, 0, 0], [0, 0, 0, 0, 0, 6, 10, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 7, 4, 6, 2, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 7, 6, 3, 2, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 7, 6, 4, 0, 1, 0, 2, 0, 0], [0, 0, 0, 0, 0, 7, 7, 1, 2, 2, 0, 0, 1, 0], [0, 0, 0, 0, 0, 7, 7, 1, 3, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 7, 7, 2, 1, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 7, 8, 0, 1, 2, 1, 1, 0, 0], [0, 0, 0, 0, 0, 8, 1, 9, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 8, 3, 6, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 8, 4, 4, 1, 2, 0, 0, 1, 0], [0, 0, 0, 0, 0, 8, 4, 4, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 8, 4, 5, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 8, 5, 1, 4, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 8, 5, 3, 0, 2, 1, 1, 0, 0], [0, 0, 0, 0, 0, 8, 6, 0, 3, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 8, 6, 1, 0, 4, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 6, 1, 1, 1, 3, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 9, 1, 7, 0, 2, 0, 0, 1, 0], [0, 0, 0, 0, 0, 9, 1, 7, 1, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 9, 2, 4, 3, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 9, 3, 1, 6, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 9, 3, 3, 2, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 9, 3, 4, 0, 1, 3, 0, 0, 0], [0, 0, 0, 0, 0, 9, 4, 0, 5, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 9, 4, 1, 2, 3, 0, 1, 0, 0], [0, 0, 0, 0, 0, 9, 4, 1, 3, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 9, 4, 2, 0, 3, 2, 0, 0, 0], [0, 0, 0, 0, 0, 9, 5, 0, 0, 5, 1, 0, 0, 0], [0, 0, 0, 0, 0, 10, 0, 4, 5, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 10, 0, 6, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 10, 1, 3, 4, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 10, 1, 4, 1, 3, 0, 1, 0, 0], [0, 0, 0, 0, 0, 10, 1, 4, 2, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 10, 2, 1, 4, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 10, 2, 2, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 10, 3, 0, 2, 4, 1, 0, 0, 0], [0, 0, 0, 0, 0, 11, 0, 1, 6, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 11, 0, 2, 4, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 11, 0, 3, 1, 4, 1, 0, 0, 0], [0, 0, 0, 0, 0, 11, 1, 0, 4, 3, 1, 0, 0, 0], [0, 0, 0, 0, 0, 11, 1, 1, 1, 6, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 16, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 15, 0, 1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 2, 12, 2, 1, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 2, 12, 3, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 3, 9, 5, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 3, 10, 2, 3, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 3, 11, 2, 0, 1, 1, 0, 1, 0], [0, 0, 0, 0, 1, 3, 12, 0, 0, 3, 0, 0, 1, 0], [0, 0, 0, 0, 1, 3, 12, 0, 1, 1, 0, 2, 0, 0], [0, 0, 0, 0, 1, 4, 7, 5, 2, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 4, 9, 2, 2, 0, 1, 0, 1, 0], [0, 0, 0, 0, 1, 4, 9, 3, 0, 1, 0, 2, 0, 0], [0, 0, 0, 0, 1, 4, 10, 0, 2, 2, 0, 0, 1, 0], [0, 0, 0, 0, 1, 4, 10, 0, 3, 0, 0, 2, 0, 0], [0, 0, 0, 0, 1, 4, 10, 1, 1, 0, 2, 1, 0, 0], [0, 0, 0, 0, 1, 5, 4, 8, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 5, 6, 5, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 1, 5, 7, 3, 1, 2, 0, 0, 1, 0], [0, 0, 0, 0, 1, 5, 7, 3, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 1, 5, 7, 4, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 1, 5, 8, 0, 4, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 5, 8, 2, 0, 2, 1, 1, 0, 0], [0, 0, 0, 0, 1, 5, 9, 0, 0, 4, 0, 1, 0, 0], [0, 0, 0, 0, 1, 5, 9, 0, 1, 1, 3, 0, 0, 0], [0, 0, 0, 0, 1, 6, 1, 11, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 6, 3, 8, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 1, 6, 4, 6, 0, 2, 0, 0, 1, 0], [0, 0, 0, 0, 1, 6, 4, 6, 1, 0, 0, 2, 0, 0], [0, 0, 0, 0, 1, 6, 5, 3, 3, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 6, 6, 0, 6, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 6, 6, 2, 2, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 6, 6, 3, 0, 1, 3, 0, 0, 0], [0, 0, 0, 0, 1, 6, 7, 0, 2, 3, 0, 1, 0, 0], [0, 0, 0, 0, 1, 6, 7, 0, 3, 0, 3, 0, 0, 0], [0, 0, 0, 0, 1, 6, 7, 1, 0, 3, 2, 0, 0, 0], [0, 0, 0, 0, 1, 7, 1, 9, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 1, 7, 2, 6, 2, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 7, 3, 3, 5, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 7, 3, 5, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 7, 4, 2, 4, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 7, 4, 3, 1, 3, 0, 1, 0, 0], [0, 0, 0, 0, 1, 7, 4, 3, 2, 0, 3, 0, 0, 0], [0, 0, 0, 0, 1, 7, 5, 0, 4, 2, 0, 1, 0, 0], [0, 0, 0, 0, 1, 7, 5, 1, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 1, 8, 0, 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1, 1, 0, 1, 9, 1, 4, 3, 0, 0, 0, 0], [0, 0, 1, 1, 0, 2, 3, 10, 2, 0, 0, 1, 0, 0], [0, 0, 1, 1, 0, 2, 3, 11, 0, 0, 2, 0, 0, 0], [0, 0, 1, 1, 0, 2, 4, 9, 0, 2, 1, 0, 0, 0], [0, 0, 1, 1, 0, 2, 5, 6, 3, 1, 1, 0, 0, 0], [0, 0, 1, 1, 0, 2, 5, 7, 0, 4, 0, 0, 0, 0], [0, 0, 1, 1, 0, 2, 6, 3, 6, 0, 1, 0, 0, 0], [0, 0, 1, 1, 0, 2, 6, 4, 3, 3, 0, 0, 0, 0], [0, 0, 1, 1, 0, 2, 7, 1, 6, 2, 0, 0, 0, 0], [0, 0, 1, 1, 0, 3, 0, 13, 1, 0, 0, 1, 0, 0], [0, 0, 1, 1, 0, 3, 2, 9, 2, 1, 1, 0, 0, 0], [0, 0, 1, 1, 0, 3, 3, 6, 5, 0, 1, 0, 0, 0], [0, 0, 1, 1, 0, 3, 3, 7, 2, 3, 0, 0, 0, 0], [0, 0, 1, 1, 0, 3, 4, 4, 5, 2, 0, 0, 0, 0], [0, 0, 1, 1, 0, 3, 5, 1, 8, 1, 0, 0, 0, 0], [0, 0, 1, 1, 0, 4, 0, 9, 4, 0, 1, 0, 0, 0], [0, 0, 1, 1, 0, 4, 0, 10, 1, 3, 0, 0, 0, 0], [0, 0, 1, 1, 0, 4, 1, 7, 4, 2, 0, 0, 0, 0], [0, 0, 1, 1, 0, 4, 2, 4, 7, 1, 0, 0, 0, 0], [0, 0, 1, 1, 0, 4, 3, 1, 10, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 5, 0, 4, 9, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 3, 12, 1, 0, 0, 1, 0, 0], [0, 0, 1, 1, 1, 0, 5, 8, 2, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 0, 6, 5, 5, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 0, 6, 6, 2, 3, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 7, 3, 5, 2, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 8, 0, 8, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 15, 0, 0, 0, 1, 0, 0], [0, 0, 1, 1, 1, 1, 2, 11, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 3, 8, 4, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 3, 9, 1, 3, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 4, 6, 4, 2, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 5, 3, 7, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 6, 0, 10, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 2, 0, 11, 3, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 2, 0, 12, 0, 3, 0, 0, 0, 0], [0, 0, 1, 1, 1, 2, 1, 9, 3, 2, 0, 0, 0, 0], [0, 0, 1, 1, 1, 2, 2, 6, 6, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 2, 3, 3, 9, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 3, 0, 6, 8, 0, 0, 0, 0, 0], [0, 0, 1, 1, 2, 0, 0, 13, 2, 0, 1, 0, 0, 0], [0, 0, 1, 1, 2, 0, 1, 11, 2, 2, 0, 0, 0, 0], [0, 0, 1, 1, 2, 0, 2, 8, 5, 1, 0, 0, 0, 0], [0, 0, 1, 1, 2, 0, 3, 5, 8, 0, 0, 0, 0, 0], [0, 0, 1, 1, 2, 1, 0, 8, 7, 0, 0, 0, 0, 0], [0, 0, 1, 2, 0, 0, 2, 12, 2, 0, 1, 0, 0, 0], [0, 0, 1, 2, 0, 0, 3, 10, 2, 2, 0, 0, 0, 0], [0, 0, 1, 2, 0, 0, 4, 7, 5, 1, 0, 0, 0, 0], [0, 0, 1, 2, 0, 0, 5, 4, 8, 0, 0, 0, 0, 0], [0, 0, 1, 2, 0, 1, 0, 13, 1, 2, 0, 0, 0, 0], [0, 0, 1, 2, 0, 1, 1, 10, 4, 1, 0, 0, 0, 0], [0, 0, 1, 2, 0, 1, 2, 7, 7, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 4, 13, 0, 0, 0, 1, 0, 0], [0, 0, 2, 0, 0, 0, 6, 9, 1, 1, 1, 0, 0, 0], [0, 0, 2, 0, 0, 0, 7, 6, 4, 0, 1, 0, 0, 0], [0, 0, 2, 0, 0, 0, 7, 7, 1, 3, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 8, 4, 4, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 9, 1, 7, 1, 0, 0, 0, 0], [0, 0, 2, 0, 0, 1, 3, 12, 0, 1, 1, 0, 0, 0], [0, 0, 2, 0, 0, 1, 4, 9, 3, 0, 1, 0, 0, 0], [0, 0, 2, 0, 0, 1, 4, 10, 0, 3, 0, 0, 0, 0], [0, 0, 2, 0, 0, 1, 5, 7, 3, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 1, 6, 4, 6, 1, 0, 0, 0, 0], [0, 0, 2, 0, 0, 1, 7, 1, 9, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 1, 12, 2, 0, 1, 0, 0, 0], [0, 0, 2, 0, 0, 2, 2, 10, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 3, 7, 5, 1, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 4, 4, 8, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 3, 0, 10, 4, 1, 0, 0, 0, 0], [0, 0, 2, 0, 0, 3, 1, 7, 7, 0, 0, 0, 0, 0], [0, 0, 2, 0, 1, 0, 1, 14, 1, 0, 1, 0, 0, 0], [0, 0, 2, 0, 1, 0, 2, 12, 1, 2, 0, 0, 0, 0], [0, 0, 2, 0, 1, 0, 3, 9, 4, 1, 0, 0, 0, 0], [0, 0, 2, 0, 1, 0, 4, 6, 7, 0, 0, 0, 0, 0], [0, 0, 2, 0, 1, 1, 0, 12, 3, 1, 0, 0, 0, 0], [0, 0, 2, 0, 1, 1, 1, 9, 6, 0, 0, 0, 0, 0], [0, 0, 2, 1, 0, 0, 0, 13, 4, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 12, 3, 2, 1, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 12, 4, 0, 1, 2, 0, 0, 0], [0, 1, 0, 0, 0, 0, 13, 0, 5, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 13, 1, 3, 0, 2, 0, 0, 0], [0, 1, 0, 0, 0, 0, 13, 2, 0, 3, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0, 14, 0, 0, 5, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 9, 6, 1, 1, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1, 10, 3, 4, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1, 10, 4, 2, 0, 2, 0, 0, 0], [0, 1, 0, 0, 0, 1, 11, 2, 2, 2, 1, 0, 0, 0], [0, 1, 0, 0, 0, 1, 12, 0, 2, 4, 0, 0, 0, 0], [0, 1, 0, 0, 0, 2, 6, 9, 0, 1, 0, 1, 0, 0], [0, 1, 0, 0, 0, 2, 7, 6, 3, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 2, 7, 7, 1, 0, 2, 0, 0, 0], [0, 1, 0, 0, 0, 2, 8, 5, 1, 2, 1, 0, 0, 0], [0, 1, 0, 0, 0, 2, 9, 2, 4, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 2, 9, 3, 1, 4, 0, 0, 0, 0], [0, 1, 0, 0, 0, 2, 10, 0, 4, 3, 0, 0, 0, 0], [0, 1, 0, 0, 0, 3, 4, 9, 2, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 3, 4, 10, 0, 0, 2, 0, 0, 0], [0, 1, 0, 0, 0, 3, 5, 8, 0, 2, 1, 0, 0, 0], [0, 1, 0, 0, 0, 3, 6, 5, 3, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 3, 6, 6, 0, 4, 0, 0, 0, 0], [0, 1, 0, 0, 0, 3, 7, 2, 6, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 3, 7, 3, 3, 3, 0, 0, 0, 0], [0, 1, 0, 0, 0, 3, 8, 0, 6, 2, 0, 0, 0, 0], [0, 1, 0, 0, 0, 4, 1, 12, 1, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 4, 3, 8, 2, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 4, 4, 5, 5, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 4, 4, 6, 2, 3, 0, 0, 0, 0], [0, 1, 0, 0, 0, 4, 5, 3, 5, 2, 0, 0, 0, 0], [0, 1, 0, 0, 0, 4, 6, 0, 8, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 5, 0, 11, 1, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 5, 1, 8, 4, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 5, 1, 9, 1, 3, 0, 0, 0, 0], [0, 1, 0, 0, 0, 5, 2, 6, 4, 2, 0, 0, 0, 0], [0, 1, 0, 0, 0, 5, 3, 3, 7, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 5, 4, 0, 10, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 6, 0, 6, 6, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 6, 1, 3, 9, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 7, 8, 2, 0, 0, 1, 0, 0], [0, 1, 0, 0, 1, 0, 7, 9, 0, 0, 2, 0, 0, 0], [0, 1, 0, 0, 1, 0, 8, 7, 0, 2, 1, 0, 0, 0], [0, 1, 0, 0, 1, 0, 9, 4, 3, 1, 1, 0, 0, 0], [0, 1, 0, 0, 1, 0, 9, 5, 0, 4, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 10, 1, 6, 0, 1, 0, 0, 0], [0, 1, 0, 0, 1, 0, 10, 2, 3, 3, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 4, 11, 1, 0, 0, 1, 0, 0], [0, 1, 0, 0, 1, 1, 6, 7, 2, 1, 1, 0, 0, 0], [0, 1, 0, 0, 1, 1, 7, 4, 5, 0, 1, 0, 0, 0], [0, 1, 0, 0, 1, 1, 7, 5, 2, 3, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 8, 2, 5, 2, 0, 0, 0, 0], [0, 1, 0, 0, 1, 2, 1, 14, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 1, 2, 3, 10, 1, 1, 1, 0, 0, 0], [0, 1, 0, 0, 1, 2, 4, 7, 4, 0, 1, 0, 0, 0], [0, 1, 0, 0, 1, 2, 4, 8, 1, 3, 0, 0, 0, 0], [0, 1, 0, 0, 1, 2, 5, 5, 4, 2, 0, 0, 0, 0], [0, 1, 0, 0, 1, 2, 6, 2, 7, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 3, 0, 13, 0, 1, 1, 0, 0, 0], [0, 1, 0, 0, 1, 3, 1, 10, 3, 0, 1, 0, 0, 0], [0, 1, 0, 0, 1, 3, 1, 11, 0, 3, 0, 0, 0, 0], [0, 1, 0, 0, 1, 3, 2, 8, 3, 2, 0, 0, 0, 0], [0, 1, 0, 0, 1, 3, 3, 5, 6, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 3, 4, 2, 9, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 4, 0, 8, 5, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 4, 1, 5, 8, 0, 0, 0, 0, 0], [0, 1, 0, 0, 2, 0, 3, 12, 0, 1, 1, 0, 0, 0], [0, 1, 0, 0, 2, 0, 4, 9, 3, 0, 1, 0, 0, 0], [0, 1, 0, 0, 2, 0, 4, 10, 0, 3, 0, 0, 0, 0], [0, 1, 0, 0, 2, 0, 5, 7, 3, 2, 0, 0, 0, 0], [0, 1, 0, 0, 2, 0, 6, 4, 6, 1, 0, 0, 0, 0], [0, 1, 0, 0, 2, 0, 7, 1, 9, 0, 0, 0, 0, 0], [0, 1, 0, 0, 2, 1, 1, 12, 2, 0, 1, 0, 0, 0], [0, 1, 0, 0, 2, 1, 2, 10, 2, 2, 0, 0, 0, 0], [0, 1, 0, 0, 2, 1, 3, 7, 5, 1, 0, 0, 0, 0], [0, 1, 0, 0, 2, 1, 4, 4, 8, 0, 0, 0, 0, 0], [0, 1, 0, 0, 2, 2, 0, 10, 4, 1, 0, 0, 0, 0], [0, 1, 0, 0, 2, 2, 1, 7, 7, 0, 0, 0, 0, 0], [0, 1, 0, 0, 3, 0, 0, 12, 3, 1, 0, 0, 0, 0], [0, 1, 0, 0, 3, 0, 1, 9, 6, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 5, 11, 0, 1, 1, 0, 0, 0], [0, 1, 0, 1, 0, 0, 6, 8, 3, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 0, 6, 9, 0, 3, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 7, 6, 3, 2, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 8, 3, 6, 1, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 3, 11, 2, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 4, 9, 2, 2, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 5, 6, 5, 1, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 6, 3, 8, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 2, 0, 14, 1, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 2, 1, 12, 1, 2, 0, 0, 0, 0], [0, 1, 0, 1, 0, 2, 2, 9, 4, 1, 0, 0, 0, 0], [0, 1, 0, 1, 0, 2, 3, 6, 7, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 3, 0, 9, 6, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0, 0, 16, 0, 0, 1, 0, 0, 0], [0, 1, 0, 1, 1, 0, 1, 14, 0, 2, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0, 2, 11, 3, 1, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0, 3, 8, 6, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, 1, 0, 11, 5, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 3, 12, 2, 1, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 4, 9, 5, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 1, 0, 15, 1, 1, 0, 0, 0, 0], [0, 1, 1, 0, 0, 1, 1, 12, 4, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 8, 9, 0, 1, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 9, 6, 3, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 9, 7, 0, 3, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 10, 4, 3, 2, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 11, 1, 6, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 6, 9, 2, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 1, 7, 7, 2, 2, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 8, 4, 5, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 9, 1, 8, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 2, 3, 12, 1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 2, 4, 10, 1, 2, 0, 0, 0, 0], [1, 0, 0, 0, 0, 2, 5, 7, 4, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 2, 6, 4, 7, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 3, 0, 15, 0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 3, 1, 13, 0, 2, 0, 0, 0, 0], [1, 0, 0, 0, 0, 3, 2, 10, 3, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 3, 3, 7, 6, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 4, 0, 10, 5, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 3, 14, 0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 1, 0, 4, 12, 0, 2, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 5, 9, 3, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 6, 6, 6, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 1, 2, 12, 2, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 1, 3, 9, 5, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 2, 0, 12, 4, 0, 0, 0, 0, 0], [1, 0, 0, 0, 2, 0, 0, 14, 3, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 1, 16, 0, 1, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 2, 13, 3, 0, 0, 0, 0, 0]} (14, 20, 2) has 1347 possible DDs: {[0, 0, 0, 0, 0, 0, 11, 6, 1, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 12, 4, 1, 2, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 13, 1, 4, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 13, 3, 1, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 13, 4, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 14, 0, 4, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 14, 1, 2, 0, 2, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 14, 1, 2, 1, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 15, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 8, 9, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 9, 7, 0, 2, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 10, 4, 3, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 10, 6, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 1, 11, 1, 6, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 11, 3, 3, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 1, 11, 4, 1, 0, 2, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 11, 4, 1, 1, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 1, 12, 1, 4, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 1, 12, 2, 1, 2, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 12, 3, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 13, 0, 1, 4, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 13, 0, 3, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 13, 1, 0, 3, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 13, 1, 1, 0, 3, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 13, 1, 1, 1, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 1, 14, 0, 0, 0, 4, 1, 0, 0, 0], [0, 0, 0, 0, 0, 2, 7, 7, 2, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 2, 8, 4, 5, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 2, 8, 6, 2, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 2, 8, 7, 0, 0, 2, 0, 0, 1, 0], [0, 0, 0, 0, 0, 2, 8, 7, 0, 1, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 2, 9, 4, 3, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 2, 9, 5, 0, 2, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 2, 10, 2, 3, 1, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 2, 10, 3, 0, 4, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 2, 10, 3, 2, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 2, 10, 4, 0, 0, 3, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 10, 4, 0, 1, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 11, 0, 3, 3, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 2, 11, 1, 2, 2, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 2, 11, 1, 3, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 11, 2, 0, 2, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 11, 2, 1, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 12, 0, 0, 4, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 12, 0, 1, 2, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 3, 4, 10, 1, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 3, 5, 7, 4, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 3, 5, 9, 1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 3, 6, 7, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 3, 7, 5, 2, 1, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 3, 7, 6, 1, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 3, 8, 2, 5, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 3, 8, 3, 2, 3, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 3, 8, 4, 1, 2, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 3, 8, 4, 2, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 3, 8, 5, 0, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 3, 9, 0, 5, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 3, 9, 1, 4, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 3, 9, 2, 2, 1, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 3, 9, 3, 0, 2, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 3, 10, 0, 2, 3, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 3, 10, 0, 3, 1, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 3, 10, 1, 0, 4, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 3, 10, 1, 1, 1, 3, 1, 0, 0, 0], [0, 0, 0, 0, 0, 4, 1, 13, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 4, 2, 10, 3, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 4, 2, 12, 0, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 4, 3, 10, 1, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 4, 4, 8, 1, 1, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 4, 4, 9, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 4, 5, 5, 4, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 4, 5, 6, 1, 3, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 4, 5, 7, 0, 2, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 4, 5, 7, 1, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 4, 6, 3, 4, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 4, 6, 4, 3, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 4, 6, 5, 1, 1, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 4, 7, 0, 7, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 4, 7, 1, 6, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 4, 7, 2, 4, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 4, 7, 3, 1, 3, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 4, 7, 3, 2, 1, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 4, 7, 4, 0, 1, 3, 1, 0, 0, 0], [0, 0, 0, 0, 0, 4, 8, 0, 4, 2, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 4, 8, 0, 5, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 4, 8, 1, 1, 5, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 4, 8, 1, 2, 3, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 4, 8, 1, 3, 0, 3, 1, 0, 0, 0], [0, 0, 0, 0, 0, 4, 8, 2, 0, 3, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 4, 8, 2, 1, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 9, 0, 0, 5, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 4, 9, 0, 1, 2, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 13, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 5, 1, 11, 0, 1, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 5, 2, 8, 3, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 5, 2, 9, 0, 3, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 5, 2, 10, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 5, 3, 6, 3, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 5, 3, 7, 2, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 5, 3, 8, 0, 1, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 5, 4, 3, 6, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 5, 4, 4, 5, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 5, 4, 5, 3, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 5, 4, 6, 0, 3, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 5, 4, 6, 1, 1, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 9, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 5, 5, 3, 3, 2, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 5, 5, 3, 4, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 4, 0, 5, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 5, 5, 4, 1, 3, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 4, 2, 0, 3, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 6, 0, 6, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 5, 6, 1, 3, 4, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 5, 6, 1, 4, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 5, 6, 2, 2, 2, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 6, 3, 0, 2, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 7, 0, 2, 4, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 7, 0, 3, 1, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 7, 1, 0, 4, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 9, 2, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 6, 0, 10, 1, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 6, 1, 6, 5, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 6, 1, 7, 4, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 6, 1, 8, 2, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 6, 1, 9, 0, 1, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 6, 2, 3, 8, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 6, 2, 6, 2, 2, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 6, 2, 6, 3, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 6, 2, 7, 0, 3, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 6, 2, 7, 1, 0, 3, 1, 0, 0, 0], [0, 0, 0, 0, 0, 6, 3, 3, 5, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 6, 3, 4, 2, 4, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 6, 3, 4, 3, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 6, 3, 5, 1, 2, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 6, 4, 0, 8, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 6, 4, 1, 5, 3, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 6, 4, 1, 6, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 6, 4, 2, 4, 1, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 6, 4, 3, 1, 4, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 6, 4, 3, 2, 1, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 5, 0, 4, 3, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 6, 5, 0, 5, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 5, 1, 1, 6, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 6, 5, 1, 2, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 6, 4, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 1, 4, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 2, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 8, 0, 2, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 7, 1, 3, 7, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 7, 1, 4, 4, 3, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 7, 1, 4, 5, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 7, 1, 5, 3, 1, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 7, 1, 6, 0, 4, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 7, 1, 6, 1, 1, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 2, 1, 7, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 7, 2, 1, 8, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 7, 2, 2, 6, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 7, 2, 3, 3, 3, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 7, 2, 3, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 2, 4, 0, 6, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 7, 2, 4, 1, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 3, 0, 6, 2, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 7, 3, 1, 3, 5, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 7, 3, 1, 4, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 3, 2, 1, 5, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 4, 0, 1, 7, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 1, 9, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 0, 3, 5, 2, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 4, 2, 5, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 4, 3, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 5, 0, 5, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 1, 0, 8, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 8, 1, 1, 5, 4, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 8, 1, 1, 6, 1, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 1, 2, 3, 4, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 1, 3, 0, 7, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 2, 0, 3, 6, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 2, 1, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 5, 5, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 1, 2, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 7, 9, 1, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0, 8, 6, 4, 0, 0, 0, 0, 0, 1], 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0], [0, 1, 0, 0, 0, 3, 0, 8, 5, 2, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 3, 0, 9, 2, 5, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 3, 1, 5, 8, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 3, 1, 6, 5, 4, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 3, 2, 2, 11, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 3, 2, 3, 8, 3, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 3, 3, 0, 11, 2, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 4, 0, 3, 10, 2, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 4, 1, 0, 13, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 0, 14, 1, 2, 0, 1, 0, 0, 0], [0, 1, 0, 0, 1, 0, 1, 11, 4, 1, 0, 1, 0, 0, 0], [0, 1, 0, 0, 1, 0, 1, 12, 2, 1, 2, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 2, 8, 7, 0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 1, 0, 2, 9, 5, 0, 2, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 2, 10, 2, 3, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 3, 7, 5, 2, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 3, 8, 2, 5, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 4, 4, 8, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 4, 5, 5, 4, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 5, 1, 11, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 5, 2, 8, 3, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 0, 10, 4, 2, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 0, 11, 1, 5, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 1, 7, 7, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 1, 8, 4, 4, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 2, 4, 10, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 2, 5, 7, 3, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 3, 2, 10, 2, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 2, 0, 5, 9, 2, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 2, 1, 2, 12, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 2, 0, 0, 7, 8, 2, 0, 0, 0, 0, 0], [0, 1, 0, 0, 2, 0, 1, 4, 11, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 2, 0, 2, 1, 14, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 11, 5, 1, 1, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 12, 2, 4, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 8, 8, 0, 1, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 9, 5, 3, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 2, 6, 8, 2, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 3, 3, 11, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 4, 0, 14, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 6, 10, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 1, 3, 13, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 16, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 13, 4, 0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 14, 2, 0, 2, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 2, 12, 2, 2, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 3, 9, 5, 1, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 3, 10, 2, 4, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 4, 6, 8, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 4, 7, 5, 3, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 5, 4, 8, 2, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 6, 1, 11, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 0, 12, 4, 1, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 0, 13, 1, 4, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 9, 7, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 10, 4, 3, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 2, 7, 7, 2, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 3, 4, 10, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 4, 1, 13, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 2, 0, 7, 9, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 2, 1, 4, 12, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 9, 8, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 6, 11, 0, 0, 0, 0, 0, 0]} (15, 20, 2) has 1734 possible DDs: {[0, 0, 0, 0, 0, 0, 3, 14, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 4, 11, 3, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 4, 12, 0, 3, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 4, 12, 2, 0, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 4, 13, 0, 1, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 5, 9, 3, 2, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 5, 10, 3, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 5, 11, 1, 0, 1, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 5, 12, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 6, 9, 1, 2, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 6, 10, 0, 1, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 7, 3, 9, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 7, 6, 4, 1, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 7, 7, 2, 1, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 7, 7, 3, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 7, 8, 0, 3, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 7, 8, 1, 1, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 7, 9, 0, 0, 0, 3, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 3, 7, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 8, 4, 5, 0, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 8, 5, 2, 3, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 8, 5, 3, 2, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 8, 5, 4, 0, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 8, 6, 2, 0, 2, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 8, 6, 2, 1, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 7, 0, 0, 4, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 8, 7, 0, 1, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 2, 5, 2, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 9, 2, 6, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 9, 3, 2, 5, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 9, 3, 5, 0, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 4, 2, 2, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 9, 4, 3, 0, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 5, 0, 2, 3, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 9, 5, 0, 3, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 5, 1, 1, 1, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 10, 0, 5, 4, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 10, 1, 5, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 10, 2, 2, 4, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 10, 2, 3, 1, 3, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 10, 2, 3, 2, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 10, 2, 4, 0, 1, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 10, 3, 0, 4, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 10, 3, 0, 5, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 10, 3, 1, 3, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 10, 3, 2, 0, 3, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 10, 3, 2, 1, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 10, 4, 0, 0, 5, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 10, 4, 0, 1, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 11, 0, 3, 3, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 11, 0, 3, 4, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 11, 0, 4, 2, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 11, 0, 5, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 11, 1, 0, 6, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 11, 1, 2, 2, 2, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 11, 1, 3, 0, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 11, 2, 0, 2, 4, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 11, 2, 0, 3, 1, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 11, 2, 1, 0, 4, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 12, 0, 0, 4, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 12, 0, 0, 5, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 12, 0, 1, 2, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 14, 2, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 15, 1, 0, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 1, 2, 12, 2, 2, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 2, 13, 2, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 1, 2, 14, 0, 0, 1, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 3, 9, 5, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 3, 12, 0, 2, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 4, 6, 8, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 4, 9, 3, 1, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 4, 10, 1, 1, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 4, 10, 2, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 4, 11, 0, 1, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 5, 6, 6, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 5, 7, 4, 0, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 5, 8, 1, 3, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 5, 8, 2, 2, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 5, 8, 3, 0, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 5, 9, 1, 0, 2, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 5, 9, 1, 1, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 1, 6, 5, 4, 2, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 6, 5, 5, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 6, 6, 1, 5, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 6, 6, 4, 0, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 1, 6, 7, 1, 2, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 6, 7, 2, 0, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 1, 6, 8, 0, 1, 1, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 2, 7, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 7, 2, 8, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 7, 3, 4, 4, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 7, 4, 4, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 7, 5, 1, 4, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 7, 5, 2, 1, 3, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 7, 5, 2, 2, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 5, 3, 0, 1, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 6, 0, 3, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 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0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 0, 2, 14, 1, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 0, 3, 11, 4, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 14, 3, 0, 0, 0, 0, 0, 0]} (16, 20, 2) has 2284 possible DDs: {[0, 0, 0, 0, 0, 0, 0, 11, 6, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 12, 3, 4, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 13, 3, 2, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 13, 4, 0, 0, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 14, 2, 0, 2, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 14, 2, 1, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 14, 3, 0, 0, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 4, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 15, 1, 0, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 9, 0, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 9, 6, 3, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 10, 6, 1, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 11, 5, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 12, 2, 2, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 12, 2, 3, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 13, 0, 2, 3, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 13, 1, 2, 0, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 13, 2, 0, 0, 3, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 13, 2, 0, 1, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 14, 0, 0, 2, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 14, 0, 0, 3, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 14, 0, 1, 1, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 6, 9, 2, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 7, 9, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 9, 5, 1, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 9, 5, 2, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 10, 2, 4, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 10, 3, 1, 3, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 10, 4, 1, 0, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 11, 0, 4, 2, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 11, 2, 1, 2, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 11, 2, 2, 0, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 11, 3, 0, 1, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 12, 0, 2, 1, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 12, 0, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 12, 0, 3, 0, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 12, 1, 1, 0, 2, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 13, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 12, 1, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 3, 6, 8, 0, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 6, 8, 1, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 7, 5, 3, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 7, 6, 0, 3, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 7, 7, 0, 0, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 8, 3, 3, 2, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 8, 5, 0, 2, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 8, 5, 1, 0, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 9, 0, 6, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 9, 2, 3, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 9, 3, 1, 1, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 9, 3, 1, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 9, 3, 2, 0, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 9, 4, 0, 0, 2, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 10, 0, 4, 0, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 10, 0, 4, 1, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 10, 1, 1, 3, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 10, 2, 0, 2, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 10, 2, 1, 0, 1, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 11, 0, 0, 4, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 11, 0, 1, 1, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 11, 0, 1, 2, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 15, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 4, 3, 11, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 8, 2, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 4, 5, 6, 2, 2, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 4, 5, 8, 0, 0, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 6, 3, 5, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 4, 6, 5, 2, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 4, 6, 6, 0, 1, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 4, 6, 6, 0, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 6, 6, 1, 0, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 7, 0, 8, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 4, 7, 2, 5, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 4, 7, 3, 3, 0, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 4, 7, 3, 3, 1, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 7, 4, 0, 3, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 4, 7, 5, 0, 0, 1, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 8, 0, 6, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 8, 1, 3, 2, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 4, 8, 2, 0, 5, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 4, 8, 2, 2, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 8, 3, 0, 1, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 8, 3, 0, 2, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 9, 0, 2, 3, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 9, 0, 3, 0, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 9, 0, 3, 1, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 9, 1, 0, 3, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 9, 1, 1, 1, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 10, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 1, 11, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 5, 2, 9, 1, 2, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 5, 3, 6, 4, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 5, 3, 8, 1, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 5, 3, 9, 0, 0, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 4, 3, 7, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 5, 4, 5, 4, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 5, 4, 6, 2, 0, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 5, 4, 6, 2, 1, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 3, 5, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 4, 2, 2, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 5, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 6, 1, 5, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 5, 6, 2, 2, 4, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 5, 6, 2, 4, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 6, 3, 1, 3, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 6, 3, 2, 0, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 6, 3, 2, 1, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 6, 4, 0, 1, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 7, 0, 4, 2, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 7, 0, 5, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 7, 1, 2, 2, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 7, 1, 3, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 7, 2, 0, 3, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 7, 2, 1, 0, 4, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 8, 0, 0, 5, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 8, 0, 1, 2, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 9, 3, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 6, 0, 11, 0, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 6, 1, 6, 6, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 6, 1, 8, 3, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 6, 1, 9, 1, 0, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 6, 1, 9, 1, 1, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 2, 6, 4, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 2, 7, 1, 2, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 6, 2, 8, 0, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 3, 4, 4, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 6, 3, 5, 1, 4, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 6, 3, 5, 3, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 3, 6, 0, 3, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 3, 6, 1, 0, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 3, 6, 1, 1, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 4, 1, 7, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 6, 4, 2, 4, 3, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 6, 4, 3, 3, 2, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 4, 3, 4, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 4, 4, 1, 2, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 4, 4, 2, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 4, 5, 0, 0, 4, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 5, 0, 6, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 5, 1, 4, 1, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 5, 2, 1, 4, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 5, 2, 2, 2, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 5, 3, 0, 2, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 1, 6, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 2, 4, 0, 2, 0, 0, 0, 0], [0, 0, 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[0, 1, 0, 0, 0, 0, 3, 0, 5, 10, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 3, 0, 6, 7, 3, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 3, 1, 3, 10, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 3, 2, 0, 13, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 4, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 11, 6, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 12, 4, 0, 2, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 13, 1, 3, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 1, 10, 4, 2, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 1, 11, 1, 5, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 2, 7, 7, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 2, 8, 4, 4, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 3, 4, 10, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 3, 5, 7, 3, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 4, 2, 10, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 1, 0, 7, 9, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 1, 0, 8, 6, 3, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 1, 1, 5, 9, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 1, 2, 2, 12, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 2, 0, 2, 14, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 2, 0, 0, 4, 13, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 0, 0, 9, 7, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 0, 1, 6, 10, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 0, 2, 3, 13, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 14, 3, 1, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 15, 0, 4, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 1, 11, 6, 0, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 1, 12, 3, 3, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 2, 9, 6, 2, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 3, 6, 9, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 4, 3, 12, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 9, 8, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 1, 6, 11, 0, 0, 0, 0, 0, 0, 0]} (17, 20, 2) has 2862 possible DDs: {[0, 0, 0, 0, 0, 0, 0, 3, 13, 2, 1, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 4, 10, 5, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 4, 13, 1, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 11, 1, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 6, 8, 4, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 6, 9, 2, 0, 2, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 6, 10, 1, 0, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 2, 2, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 7, 8, 1, 2, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 8, 2, 0, 0, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 8, 2, 0, 1, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 9, 0, 0, 2, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 4, 5, 1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 8, 5, 2, 4, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 8, 5, 4, 1, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 6, 2, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 7, 0, 2, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 7, 1, 1, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 1, 8, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 9, 2, 5, 3, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 9, 2, 7, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 3, 5, 1, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 4, 3, 1, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 4, 4, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 5, 0, 4, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 5, 1, 1, 3, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 5, 2, 0, 2, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 5, 2, 1, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 6, 0, 1, 1, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 1, 6, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 2, 3, 3, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 2, 4, 0, 3, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 2, 5, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 3, 1, 3, 2, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 3, 2, 2, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 3, 3, 0, 1, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 4, 0, 3, 0, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 4, 1, 0, 3, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 4, 1, 1, 1, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 11, 0, 4, 2, 2, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 11, 0, 5, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 11, 1, 1, 5, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 11, 1, 2, 4, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 11, 1, 3, 2, 0, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 11, 1, 4, 0, 1, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 11, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 11, 2, 1, 3, 0, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 11, 2, 2, 0, 3, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 11, 2, 2, 1, 0, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 11, 3, 0, 1, 2, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 12, 0, 1, 4, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 12, 0, 2, 1, 4, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 12, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 12, 0, 3, 0, 2, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 12, 1, 0, 3, 1, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 12, 1, 1, 0, 4, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 12, 1, 1, 1, 1, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 16, 1, 1, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 1, 13, 4, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 1, 16, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2, 14, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 3, 11, 3, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 3, 12, 1, 0, 2, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 3, 13, 0, 0, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 4, 10, 1, 2, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 4, 11, 0, 2, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 4, 11, 1, 0, 0, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 4, 11, 1, 0, 1, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 5, 7, 4, 1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 5, 8, 1, 4, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 5, 8, 3, 1, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 5, 9, 1, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 5, 10, 0, 1, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 6, 4, 7, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 6, 5, 4, 3, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 6, 5, 6, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 6, 6, 4, 1, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 6, 7, 2, 1, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 6, 7, 3, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 6, 8, 0, 1, 3, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 6, 8, 1, 0, 2, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 6, 8, 1, 1, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 7, 2, 7, 2, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 7, 3, 7, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 7, 4, 5, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 7, 5, 2, 3, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 7, 5, 3, 0, 3, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 7, 5, 4, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 7, 6, 0, 3, 2, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 7, 6, 1, 2, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 7, 6, 2, 0, 1, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 7, 7, 0, 0, 3, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 7, 7, 0, 1, 1, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 2, 5, 2, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 3, 3, 2, 2, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 3, 4, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 4, 0, 5, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 4, 1, 4, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 4, 2, 2, 0, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 4, 3, 0, 1, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 5, 0, 2, 2, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 5, 0, 3, 0, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 5, 1, 0, 3, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 5, 1, 1, 0, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 9, 0, 6, 1, 2, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 9, 0, 7, 0, 1, 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4, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 11, 1, 6, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 11, 2, 3, 3, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 5, 11, 1, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 7, 7, 2, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 8, 4, 5, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 8, 5, 2, 3, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 9, 2, 5, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 2, 2, 14, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 2, 4, 10, 1, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 2, 5, 7, 4, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 2, 5, 8, 1, 3, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 2, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 2, 7, 2, 7, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 3, 1, 13, 0, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 3, 2, 10, 3, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 3, 2, 11, 0, 3, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 3, 3, 8, 3, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 3, 4, 5, 6, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 3, 5, 2, 9, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 4, 0, 11, 2, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 4, 1, 8, 5, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 4, 2, 5, 8, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 4, 12, 0, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 5, 9, 3, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 5, 10, 0, 3, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 6, 7, 3, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 7, 4, 6, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 8, 1, 9, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 2, 12, 2, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 3, 10, 2, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 4, 7, 5, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 5, 4, 8, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 2, 0, 13, 1, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 2, 1, 10, 4, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 2, 0, 0, 15, 0, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 2, 0, 1, 12, 3, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 2, 0, 2, 9, 6, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 16, 0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 2, 14, 0, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 3, 11, 3, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 4, 8, 6, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 1, 0, 14, 2, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 1, 1, 11, 5, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 4, 13, 1, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 5, 10, 4, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 1, 1, 16, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 1, 2, 13, 3, 0, 0, 0, 0, 0, 0, 0]} (18, 20, 2) has 3547 possible DDs: {[0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 13, 4, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 14, 1, 3, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 14, 2, 0, 3, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 14, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 14, 3, 0, 1, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 15, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 15, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 11, 4, 2, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 11, 5, 1, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 12, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 12, 3, 2, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 12, 4, 0, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 13, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 14, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 14, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 14, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 8, 7, 1, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 2, 8, 8, 0, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 9, 5, 1, 2, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 2, 9, 6, 1, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 10, 2, 4, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 2, 11, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 11, 3, 0, 1, 2, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 11, 3, 1, 0, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 12, 0, 3, 0, 2, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 12, 1, 0, 3, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 12, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 12, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 12, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 12, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 13, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 13, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 5, 10, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 3, 6, 8, 0, 2, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 3, 6, 9, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 7, 5, 3, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 3, 8, 2, 6, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 3, 8, 5, 1, 1, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 8, 6, 0, 0, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 9, 2, 4, 0, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 9, 3, 2, 0, 2, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 9, 4, 0, 2, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 9, 4, 1, 0, 0, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 10, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 10, 1, 3, 1, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 10, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 10, 3, 0, 0, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 11, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 11, 1, 0, 1, 3, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 11, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 11, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 12, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 8, 2, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 4, 5, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 4, 5, 8, 0, 1, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 6, 5, 3, 0, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 6, 6, 1, 0, 2, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 6, 7, 0, 0, 0, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 7, 4, 1, 2, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 7, 4, 2, 1, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 7, 5, 1, 0, 0, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 8, 1, 4, 1, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 8, 1, 5, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 8, 2, 1, 4, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 8, 3, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 8, 4, 0, 0, 1, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 9, 0, 4, 0, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 9, 1, 1, 3, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 9, 1, 2, 0, 3, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 9, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 9, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 9, 2, 1, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 10, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 1, 11, 1, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 5, 2, 8, 4, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 5, 3, 8, 2, 0, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 3, 9, 0, 0, 2, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 4, 7, 0, 2, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 4, 7, 1, 1, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 4, 8, 0, 0, 0, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 4, 3, 1, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 4, 4, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 4, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 6, 0, 1, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 6, 1, 6, 0, 1, 0, 0, 0, 1, 0, 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8, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 0, 8, 5, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 4, 11, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 5, 8, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 11, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 13, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 1, 0, 0, 4, 12, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 15, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 0, 0, 0, 8, 8, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 0, 0, 1, 5, 11, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 14, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 16, 1, 0, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 1, 14, 1, 2, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 2, 11, 4, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 2, 12, 2, 1, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 3, 8, 7, 0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 3, 9, 5, 0, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 3, 10, 2, 3, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 4, 7, 5, 2, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 4, 8, 2, 5, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 5, 4, 8, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 5, 5, 5, 4, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 6, 1, 11, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 6, 2, 8, 3, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 11, 6, 0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 12, 4, 0, 2, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 13, 1, 3, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 1, 10, 4, 2, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 1, 11, 1, 5, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 2, 7, 7, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 2, 8, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 3, 4, 10, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 3, 5, 7, 3, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 4, 2, 10, 2, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 2, 0, 7, 9, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 2, 0, 8, 6, 3, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 2, 1, 5, 9, 2, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 12, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 3, 0, 2, 14, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 0, 9, 8, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 0, 10, 5, 3, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 1, 7, 8, 2, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 2, 4, 11, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 3, 1, 14, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 0, 4, 13, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 10, 9, 0, 0, 0, 0, 0, 0, 0, 0]} (19, 20, 2) has 4490 possible DDs: {[0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 3, 15, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 11, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 4, 0, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 9, 1, 3, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 10, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 11, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 4, 0, 0, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 9, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 9, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 7, 1, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 6, 3, 0, 1, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 6, 3, 1, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 7, 0, 3, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 7, 1, 0, 3, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 7, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 10, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 3, 6, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 4, 3, 2, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 5, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 5, 3, 0, 0, 1, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 6, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 6, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 6, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 6, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 7, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10, 1, 6, 1, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10, 2, 4, 1, 2, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10, 3, 1, 4, 1, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10, 3, 3, 1, 1, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10, 3, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10, 4, 0, 4, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10, 4, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10, 4, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10, 5, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 4, 3, 1, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 6, 0, 1, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 1, 1, 6, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 1, 3, 3, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 1, 4, 1, 0, 2, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 1, 4, 1, 1, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 2, 1, 4, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 2, 3, 0, 1, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 3, 0, 1, 4, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 3, 0, 3, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 3, 1, 0, 3, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 3, 1, 1, 0, 3, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 3, 1, 1, 1, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 11, 4, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 2, 3, 1, 1, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 3, 0, 4, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 3, 2, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 4, 0, 0, 3, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 4, 0, 1, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 12, 1, 0, 3, 3, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 12, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 12, 1, 1, 3, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 12, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 12, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 12, 2, 0, 0, 4, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 12, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 2, 3, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 3, 1, 1, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 1, 0, 4, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 2, 14, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 3, 11, 3, 0, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 3, 12, 0, 3, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 3, 13, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 3, 2, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 4, 10, 3, 0, 0, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 5, 6, 6, 1, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 6, 3, 9, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 6, 6, 5, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 6, 7, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 6, 8, 0, 2, 2, 0, 0, 0, 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