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(12, 9, 1) ALL distance distributions
(1, 9, 1) has 1 possible DDs: {[3, 6]}
(2, 9, 1) has 4 possible DDs: {[0, 6, 3], [1, 4, 4], [2, 2, 5], [3, 0, 6]}
(3, 9, 1) has 12 possible DDs: {[0, 0, 9, 0], [0, 1, 7, 1], [0, 2, 5, 2], [0, 3, 3, 3], [0, 4, 1, 4], [1, 0, 6, 2], [1, 1, 4, 3], [1, 2, 2, 4], [1, 3, 0, 5], [2, 0, 3, 4], [2, 1, 1, 5], [3, 0, 0, 6]}
(4, 9, 1) has 30 possible DDs: {[0, 0, 3, 6, 0], [0, 0, 4, 4, 1], [0, 0, 5, 2, 2], [0, 0, 6, 0, 3], [0, 1, 1, 7, 0], [0, 1, 2, 5, 1], [0, 1, 3, 3, 2], [0, 1, 4, 1, 3], [0, 2, 0, 6, 1], [0, 2, 1, 4, 2], [0, 2, 2, 2, 3], [0, 2, 3, 0, 4], [0, 3, 0, 3, 3], [0, 3, 1, 1, 4], [0, 4, 0, 0, 5], [1, 0, 0, 8, 0], [1, 0, 1, 6, 1], [1, 0, 2, 4, 2], [1, 0, 3, 2, 3], [1, 0, 4, 0, 4], [1, 1, 0, 5, 2], [1, 1, 1, 3, 3], [1, 1, 2, 1, 4], [1, 2, 0, 2, 4], [1, 2, 1, 0, 5], [2, 0, 0, 4, 3], [2, 0, 1, 2, 4], [2, 0, 2, 0, 5], [2, 1, 0, 1, 5], [3, 0, 0, 0, 6]}
(5, 9, 1) has 66 possible DDs: {[0, 0, 0, 6, 3, 0], [0, 0, 0, 7, 1, 1], [0, 0, 1, 4, 4, 0], [0, 0, 1, 5, 2, 1], [0, 0, 1, 6, 0, 2], [0, 0, 2, 2, 5, 0], [0, 0, 2, 3, 3, 1], [0, 0, 2, 4, 1, 2], [0, 0, 3, 0, 6, 0], [0, 0, 3, 1, 4, 1], [0, 0, 3, 2, 2, 2], [0, 0, 3, 3, 0, 3], [0, 0, 4, 0, 3, 2], [0, 0, 4, 1, 1, 3], [0, 0, 5, 0, 0, 4], [0, 1, 0, 3, 5, 0], [0, 1, 0, 4, 3, 1], [0, 1, 0, 5, 1, 2], [0, 1, 1, 1, 6, 0], [0, 1, 1, 2, 4, 1], [0, 1, 1, 3, 2, 2], [0, 1, 1, 4, 0, 3], [0, 1, 2, 0, 5, 1], [0, 1, 2, 1, 3, 2], [0, 1, 2, 2, 1, 3], [0, 1, 3, 0, 2, 3], [0, 1, 3, 1, 0, 4], [0, 2, 0, 0, 7, 0], [0, 2, 0, 1, 5, 1], [0, 2, 0, 2, 3, 2], [0, 2, 0, 3, 1, 3], [0, 2, 1, 0, 4, 2], [0, 2, 1, 1, 2, 3], [0, 2, 1, 2, 0, 4], [0, 2, 2, 0, 1, 4], [0, 3, 0, 0, 3, 3], [0, 3, 0, 1, 1, 4], [0, 3, 1, 0, 0, 5], [1, 0, 0, 2, 6, 0], [1, 0, 0, 3, 4, 1], [1, 0, 0, 4, 2, 2], [1, 0, 0, 5, 0, 3], [1, 0, 1, 0, 7, 0], [1, 0, 1, 1, 5, 1], [1, 0, 1, 2, 3, 2], [1, 0, 1, 3, 1, 3], [1, 0, 2, 0, 4, 2], [1, 0, 2, 1, 2, 3], [1, 0, 2, 2, 0, 4], [1, 0, 3, 0, 1, 4], [1, 1, 0, 0, 6, 1], [1, 1, 0, 1, 4, 2], [1, 1, 0, 2, 2, 3], [1, 1, 0, 3, 0, 4], [1, 1, 1, 0, 3, 3], [1, 1, 1, 1, 1, 4], [1, 1, 2, 0, 0, 5], [1, 2, 0, 0, 2, 4], [1, 2, 0, 1, 0, 5], [2, 0, 0, 0, 5, 2], [2, 0, 0, 1, 3, 3], [2, 0, 0, 2, 1, 4], [2, 0, 1, 0, 2, 4], [2, 0, 1, 1, 0, 5], [2, 1, 0, 0, 1, 5], [3, 0, 0, 0, 0, 6]}
(6, 9, 1) has 139 possible DDs: {[0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 1, 7, 1, 0], [0, 0, 0, 2, 5, 2, 0], [0, 0, 0, 2, 6, 0, 1], [0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 3, 4, 1, 1], [0, 0, 0, 4, 1, 4, 0], [0, 0, 0, 4, 2, 2, 1], [0, 0, 0, 4, 3, 0, 2], [0, 0, 0, 5, 0, 3, 1], [0, 0, 0, 5, 1, 1, 2], [0, 0, 0, 6, 0, 0, 3], [0, 0, 1, 0, 6, 2, 0], [0, 0, 1, 0, 7, 0, 1], [0, 0, 1, 1, 4, 3, 0], [0, 0, 1, 1, 5, 1, 1], [0, 0, 1, 2, 2, 4, 0], [0, 0, 1, 2, 3, 2, 1], [0, 0, 1, 2, 4, 0, 2], [0, 0, 1, 3, 0, 5, 0], [0, 0, 1, 3, 1, 3, 1], [0, 0, 1, 3, 2, 1, 2], [0, 0, 1, 4, 0, 2, 2], [0, 0, 1, 4, 1, 0, 3], [0, 0, 2, 0, 3, 4, 0], [0, 0, 2, 0, 4, 2, 1], [0, 0, 2, 0, 5, 0, 2], [0, 0, 2, 1, 1, 5, 0], [0, 0, 2, 1, 2, 3, 1], [0, 0, 2, 1, 3, 1, 2], [0, 0, 2, 2, 0, 4, 1], [0, 0, 2, 2, 1, 2, 2], [0, 0, 2, 2, 2, 0, 3], [0, 0, 2, 3, 0, 1, 3], [0, 0, 3, 0, 0, 6, 0], [0, 0, 3, 0, 1, 4, 1], [0, 0, 3, 0, 2, 2, 2], [0, 0, 3, 0, 3, 0, 3], [0, 0, 3, 1, 0, 3, 2], [0, 0, 3, 1, 1, 1, 3], [0, 0, 3, 2, 0, 0, 4], [0, 0, 4, 0, 0, 2, 3], [0, 0, 4, 0, 1, 0, 4], [0, 1, 0, 0, 5, 3, 0], [0, 1, 0, 0, 6, 1, 1], [0, 1, 0, 1, 3, 4, 0], [0, 1, 0, 1, 4, 2, 1], [0, 1, 0, 1, 5, 0, 2], [0, 1, 0, 2, 1, 5, 0], [0, 1, 0, 2, 2, 3, 1], [0, 1, 0, 2, 3, 1, 2], [0, 1, 0, 3, 0, 4, 1], [0, 1, 0, 3, 1, 2, 2], [0, 1, 0, 3, 2, 0, 3], [0, 1, 0, 4, 0, 1, 3], [0, 1, 1, 0, 2, 5, 0], [0, 1, 1, 0, 3, 3, 1], [0, 1, 1, 0, 4, 1, 2], [0, 1, 1, 1, 0, 6, 0], [0, 1, 1, 1, 1, 4, 1], [0, 1, 1, 1, 2, 2, 2], [0, 1, 1, 1, 3, 0, 3], [0, 1, 1, 2, 0, 3, 2], [0, 1, 1, 2, 1, 1, 3], [0, 1, 1, 3, 0, 0, 4], [0, 1, 2, 0, 0, 5, 1], [0, 1, 2, 0, 1, 3, 2], [0, 1, 2, 0, 2, 1, 3], [0, 1, 2, 1, 0, 2, 3], [0, 1, 2, 1, 1, 0, 4], [0, 1, 3, 0, 0, 1, 4], [0, 2, 0, 0, 1, 6, 0], [0, 2, 0, 0, 2, 4, 1], [0, 2, 0, 0, 3, 2, 2], [0, 2, 0, 0, 4, 0, 3], [0, 2, 0, 1, 0, 5, 1], [0, 2, 0, 1, 1, 3, 2], [0, 2, 0, 1, 2, 1, 3], [0, 2, 0, 2, 0, 2, 3], [0, 2, 0, 2, 1, 0, 4], [0, 2, 1, 0, 0, 4, 2], [0, 2, 1, 0, 1, 2, 3], [0, 2, 1, 0, 2, 0, 4], [0, 2, 1, 1, 0, 1, 4], [0, 2, 2, 0, 0, 0, 5], [0, 3, 0, 0, 0, 3, 3], [0, 3, 0, 0, 1, 1, 4], [0, 3, 0, 1, 0, 0, 5], [1, 0, 0, 0, 4, 4, 0], [1, 0, 0, 0, 5, 2, 1], [1, 0, 0, 0, 6, 0, 2], [1, 0, 0, 1, 2, 5, 0], [1, 0, 0, 1, 3, 3, 1], [1, 0, 0, 1, 4, 1, 2], [1, 0, 0, 2, 0, 6, 0], [1, 0, 0, 2, 1, 4, 1], [1, 0, 0, 2, 2, 2, 2], [1, 0, 0, 2, 3, 0, 3], [1, 0, 0, 3, 0, 3, 2], [1, 0, 0, 3, 1, 1, 3], [1, 0, 0, 4, 0, 0, 4], [1, 0, 1, 0, 1, 6, 0], [1, 0, 1, 0, 2, 4, 1], [1, 0, 1, 0, 3, 2, 2], [1, 0, 1, 0, 4, 0, 3], [1, 0, 1, 1, 0, 5, 1], [1, 0, 1, 1, 1, 3, 2], [1, 0, 1, 1, 2, 1, 3], [1, 0, 1, 2, 0, 2, 3], [1, 0, 1, 2, 1, 0, 4], [1, 0, 2, 0, 0, 4, 2], [1, 0, 2, 0, 1, 2, 3], [1, 0, 2, 0, 2, 0, 4], [1, 0, 2, 1, 0, 1, 4], [1, 0, 3, 0, 0, 0, 5], [1, 1, 0, 0, 0, 7, 0], [1, 1, 0, 0, 1, 5, 1], [1, 1, 0, 0, 2, 3, 2], [1, 1, 0, 0, 3, 1, 3], [1, 1, 0, 1, 0, 4, 2], [1, 1, 0, 1, 1, 2, 3], [1, 1, 0, 1, 2, 0, 4], [1, 1, 0, 2, 0, 1, 4], [1, 1, 1, 0, 0, 3, 3], [1, 1, 1, 0, 1, 1, 4], [1, 1, 1, 1, 0, 0, 5], [1, 2, 0, 0, 0, 2, 4], [1, 2, 0, 0, 1, 0, 5], [2, 0, 0, 0, 0, 6, 1], [2, 0, 0, 0, 1, 4, 2], [2, 0, 0, 0, 2, 2, 3], [2, 0, 0, 0, 3, 0, 4], [2, 0, 0, 1, 0, 3, 3], [2, 0, 0, 1, 1, 1, 4], [2, 0, 0, 2, 0, 0, 5], [2, 0, 1, 0, 0, 2, 4], [2, 0, 1, 0, 1, 0, 5], [2, 1, 0, 0, 0, 1, 5], [3, 0, 0, 0, 0, 0, 6]}
(7, 9, 1) has 268 possible DDs: {[0, 0, 0, 0, 3, 6, 0, 0], [0, 0, 0, 0, 4, 4, 1, 0], [0, 0, 0, 0, 5, 2, 2, 0], [0, 0, 0, 0, 5, 3, 0, 1], [0, 0, 0, 0, 6, 0, 3, 0], [0, 0, 0, 0, 6, 1, 1, 1], [0, 0, 0, 0, 7, 0, 0, 2], [0, 0, 0, 1, 1, 7, 0, 0], [0, 0, 0, 1, 2, 5, 1, 0], [0, 0, 0, 1, 3, 3, 2, 0], [0, 0, 0, 1, 3, 4, 0, 1], [0, 0, 0, 1, 4, 1, 3, 0], [0, 0, 0, 1, 4, 2, 1, 1], [0, 0, 0, 1, 5, 0, 2, 1], [0, 0, 0, 1, 5, 1, 0, 2], [0, 0, 0, 2, 0, 6, 1, 0], [0, 0, 0, 2, 1, 4, 2, 0], [0, 0, 0, 2, 1, 5, 0, 1], [0, 0, 0, 2, 2, 2, 3, 0], [0, 0, 0, 2, 2, 3, 1, 1], [0, 0, 0, 2, 3, 0, 4, 0], [0, 0, 0, 2, 3, 1, 2, 1], [0, 0, 0, 2, 3, 2, 0, 2], [0, 0, 0, 2, 4, 0, 1, 2], [0, 0, 0, 3, 0, 3, 3, 0], [0, 0, 0, 3, 0, 4, 1, 1], [0, 0, 0, 3, 1, 1, 4, 0], [0, 0, 0, 3, 1, 2, 2, 1], [0, 0, 0, 3, 1, 3, 0, 2], [0, 0, 0, 3, 2, 0, 3, 1], [0, 0, 0, 3, 2, 1, 1, 2], [0, 0, 0, 3, 3, 0, 0, 3], [0, 0, 0, 4, 0, 0, 5, 0], [0, 0, 0, 4, 0, 1, 3, 1], [0, 0, 0, 4, 0, 2, 1, 2], [0, 0, 0, 4, 1, 0, 2, 2], [0, 0, 0, 4, 1, 1, 0, 3], [0, 0, 0, 5, 0, 0, 1, 3], [0, 0, 1, 0, 0, 8, 0, 0], [0, 0, 1, 0, 1, 6, 1, 0], [0, 0, 1, 0, 2, 4, 2, 0], [0, 0, 1, 0, 2, 5, 0, 1], [0, 0, 1, 0, 3, 2, 3, 0], [0, 0, 1, 0, 3, 3, 1, 1], [0, 0, 1, 0, 4, 0, 4, 0], [0, 0, 1, 0, 4, 1, 2, 1], [0, 0, 1, 0, 4, 2, 0, 2], [0, 0, 1, 0, 5, 0, 1, 2], [0, 0, 1, 1, 0, 5, 2, 0], [0, 0, 1, 1, 0, 6, 0, 1], [0, 0, 1, 1, 1, 3, 3, 0], [0, 0, 1, 1, 1, 4, 1, 1], [0, 0, 1, 1, 2, 1, 4, 0], [0, 0, 1, 1, 2, 2, 2, 1], [0, 0, 1, 1, 2, 3, 0, 2], [0, 0, 1, 1, 3, 0, 3, 1], [0, 0, 1, 1, 3, 1, 1, 2], [0, 0, 1, 1, 4, 0, 0, 3], [0, 0, 1, 2, 0, 2, 4, 0], [0, 0, 1, 2, 0, 3, 2, 1], [0, 0, 1, 2, 0, 4, 0, 2], [0, 0, 1, 2, 1, 0, 5, 0], [0, 0, 1, 2, 1, 1, 3, 1], [0, 0, 1, 2, 1, 2, 1, 2], [0, 0, 1, 2, 2, 0, 2, 2], [0, 0, 1, 2, 2, 1, 0, 3], [0, 0, 1, 3, 0, 0, 4, 1], [0, 0, 1, 3, 0, 1, 2, 2], [0, 0, 1, 3, 0, 2, 0, 3], [0, 0, 1, 3, 1, 0, 1, 3], [0, 0, 1, 4, 0, 0, 0, 4], [0, 0, 2, 0, 0, 4, 3, 0], [0, 0, 2, 0, 0, 5, 1, 1], [0, 0, 2, 0, 1, 2, 4, 0], [0, 0, 2, 0, 1, 3, 2, 1], [0, 0, 2, 0, 1, 4, 0, 2], [0, 0, 2, 0, 2, 0, 5, 0], [0, 0, 2, 0, 2, 1, 3, 1], [0, 0, 2, 0, 2, 2, 1, 2], [0, 0, 2, 0, 3, 0, 2, 2], [0, 0, 2, 0, 3, 1, 0, 3], [0, 0, 2, 1, 0, 1, 5, 0], [0, 0, 2, 1, 0, 2, 3, 1], [0, 0, 2, 1, 0, 3, 1, 2], [0, 0, 2, 1, 1, 0, 4, 1], [0, 0, 2, 1, 1, 1, 2, 2], [0, 0, 2, 1, 1, 2, 0, 3], [0, 0, 2, 1, 2, 0, 1, 3], [0, 0, 2, 2, 0, 0, 3, 2], [0, 0, 2, 2, 0, 1, 1, 3], [0, 0, 2, 2, 1, 0, 0, 4], [0, 0, 3, 0, 0, 0, 6, 0], [0, 0, 3, 0, 0, 1, 4, 1], [0, 0, 3, 0, 0, 2, 2, 2], [0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 3, 0, 1, 0, 3, 2], [0, 0, 3, 0, 1, 1, 1, 3], [0, 0, 3, 0, 2, 0, 0, 4], [0, 0, 3, 1, 0, 0, 2, 3], [0, 0, 3, 1, 0, 1, 0, 4], [0, 0, 4, 0, 0, 0, 1, 4], [0, 1, 0, 0, 0, 7, 1, 0], [0, 1, 0, 0, 1, 5, 2, 0], [0, 1, 0, 0, 1, 6, 0, 1], [0, 1, 0, 0, 2, 3, 3, 0], [0, 1, 0, 0, 2, 4, 1, 1], [0, 1, 0, 0, 3, 1, 4, 0], [0, 1, 0, 0, 3, 2, 2, 1], [0, 1, 0, 0, 3, 3, 0, 2], [0, 1, 0, 0, 4, 0, 3, 1], [0, 1, 0, 0, 4, 1, 1, 2], [0, 1, 0, 0, 5, 0, 0, 3], [0, 1, 0, 1, 0, 4, 3, 0], [0, 1, 0, 1, 0, 5, 1, 1], [0, 1, 0, 1, 1, 2, 4, 0], [0, 1, 0, 1, 1, 3, 2, 1], [0, 1, 0, 1, 1, 4, 0, 2], [0, 1, 0, 1, 2, 0, 5, 0], [0, 1, 0, 1, 2, 1, 3, 1], [0, 1, 0, 1, 2, 2, 1, 2], [0, 1, 0, 1, 3, 0, 2, 2], [0, 1, 0, 1, 3, 1, 0, 3], [0, 1, 0, 2, 0, 1, 5, 0], [0, 1, 0, 2, 0, 2, 3, 1], [0, 1, 0, 2, 0, 3, 1, 2], [0, 1, 0, 2, 1, 0, 4, 1], [0, 1, 0, 2, 1, 1, 2, 2], [0, 1, 0, 2, 1, 2, 0, 3], [0, 1, 0, 2, 2, 0, 1, 3], [0, 1, 0, 3, 0, 0, 3, 2], [0, 1, 0, 3, 0, 1, 1, 3], [0, 1, 0, 3, 1, 0, 0, 4], [0, 1, 1, 0, 0, 3, 4, 0], [0, 1, 1, 0, 0, 4, 2, 1], [0, 1, 1, 0, 0, 5, 0, 2], [0, 1, 1, 0, 1, 1, 5, 0], [0, 1, 1, 0, 1, 2, 3, 1], [0, 1, 1, 0, 1, 3, 1, 2], [0, 1, 1, 0, 2, 0, 4, 1], [0, 1, 1, 0, 2, 1, 2, 2], [0, 1, 1, 0, 2, 2, 0, 3], [0, 1, 1, 0, 3, 0, 1, 3], [0, 1, 1, 1, 0, 0, 6, 0], [0, 1, 1, 1, 0, 1, 4, 1], [0, 1, 1, 1, 0, 2, 2, 2], [0, 1, 1, 1, 0, 3, 0, 3], [0, 1, 1, 1, 1, 0, 3, 2], [0, 1, 1, 1, 1, 1, 1, 3], [0, 1, 1, 1, 2, 0, 0, 4], [0, 1, 1, 2, 0, 0, 2, 3], [0, 1, 1, 2, 0, 1, 0, 4], [0, 1, 2, 0, 0, 0, 5, 1], [0, 1, 2, 0, 0, 1, 3, 2], [0, 1, 2, 0, 0, 2, 1, 3], [0, 1, 2, 0, 1, 0, 2, 3], [0, 1, 2, 0, 1, 1, 0, 4], [0, 1, 2, 1, 0, 0, 1, 4], [0, 1, 3, 0, 0, 0, 0, 5], [0, 2, 0, 0, 0, 2, 5, 0], [0, 2, 0, 0, 0, 3, 3, 1], [0, 2, 0, 0, 0, 4, 1, 2], [0, 2, 0, 0, 1, 0, 6, 0], [0, 2, 0, 0, 1, 1, 4, 1], [0, 2, 0, 0, 1, 2, 2, 2], [0, 2, 0, 0, 1, 3, 0, 3], [0, 2, 0, 0, 2, 0, 3, 2], [0, 2, 0, 0, 2, 1, 1, 3], [0, 2, 0, 0, 3, 0, 0, 4], [0, 2, 0, 1, 0, 0, 5, 1], [0, 2, 0, 1, 0, 1, 3, 2], [0, 2, 0, 1, 0, 2, 1, 3], [0, 2, 0, 1, 1, 0, 2, 3], [0, 2, 0, 1, 1, 1, 0, 4], [0, 2, 0, 2, 0, 0, 1, 4], [0, 2, 1, 0, 0, 0, 4, 2], [0, 2, 1, 0, 0, 1, 2, 3], [0, 2, 1, 0, 0, 2, 0, 4], [0, 2, 1, 0, 1, 0, 1, 4], [0, 2, 1, 1, 0, 0, 0, 5], [0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 1, 1, 4], [0, 3, 0, 0, 1, 0, 0, 5], [1, 0, 0, 0, 0, 6, 2, 0], [1, 0, 0, 0, 0, 7, 0, 1], [1, 0, 0, 0, 1, 4, 3, 0], [1, 0, 0, 0, 1, 5, 1, 1], [1, 0, 0, 0, 2, 2, 4, 0], [1, 0, 0, 0, 2, 3, 2, 1], [1, 0, 0, 0, 2, 4, 0, 2], [1, 0, 0, 0, 3, 0, 5, 0], [1, 0, 0, 0, 3, 1, 3, 1], [1, 0, 0, 0, 3, 2, 1, 2], [1, 0, 0, 0, 4, 0, 2, 2], [1, 0, 0, 0, 4, 1, 0, 3], [1, 0, 0, 1, 0, 3, 4, 0], [1, 0, 0, 1, 0, 4, 2, 1], [1, 0, 0, 1, 0, 5, 0, 2], [1, 0, 0, 1, 1, 1, 5, 0], [1, 0, 0, 1, 1, 2, 3, 1], [1, 0, 0, 1, 1, 3, 1, 2], [1, 0, 0, 1, 2, 0, 4, 1], [1, 0, 0, 1, 2, 1, 2, 2], [1, 0, 0, 1, 2, 2, 0, 3], [1, 0, 0, 1, 3, 0, 1, 3], [1, 0, 0, 2, 0, 0, 6, 0], [1, 0, 0, 2, 0, 1, 4, 1], [1, 0, 0, 2, 0, 2, 2, 2], [1, 0, 0, 2, 0, 3, 0, 3], [1, 0, 0, 2, 1, 0, 3, 2], [1, 0, 0, 2, 1, 1, 1, 3], [1, 0, 0, 2, 2, 0, 0, 4], [1, 0, 0, 3, 0, 0, 2, 3], [1, 0, 0, 3, 0, 1, 0, 4], [1, 0, 1, 0, 0, 2, 5, 0], [1, 0, 1, 0, 0, 3, 3, 1], [1, 0, 1, 0, 0, 4, 1, 2], [1, 0, 1, 0, 1, 0, 6, 0], [1, 0, 1, 0, 1, 1, 4, 1], [1, 0, 1, 0, 1, 2, 2, 2], [1, 0, 1, 0, 1, 3, 0, 3], [1, 0, 1, 0, 2, 0, 3, 2], [1, 0, 1, 0, 2, 1, 1, 3], [1, 0, 1, 0, 3, 0, 0, 4], [1, 0, 1, 1, 0, 0, 5, 1], [1, 0, 1, 1, 0, 1, 3, 2], [1, 0, 1, 1, 0, 2, 1, 3], [1, 0, 1, 1, 1, 0, 2, 3], [1, 0, 1, 1, 1, 1, 0, 4], [1, 0, 1, 2, 0, 0, 1, 4], [1, 0, 2, 0, 0, 0, 4, 2], [1, 0, 2, 0, 0, 1, 2, 3], [1, 0, 2, 0, 0, 2, 0, 4], [1, 0, 2, 0, 1, 0, 1, 4], [1, 0, 2, 1, 0, 0, 0, 5], [1, 1, 0, 0, 0, 1, 6, 0], [1, 1, 0, 0, 0, 2, 4, 1], [1, 1, 0, 0, 0, 3, 2, 2], [1, 1, 0, 0, 0, 4, 0, 3], [1, 1, 0, 0, 1, 0, 5, 1], [1, 1, 0, 0, 1, 1, 3, 2], [1, 1, 0, 0, 1, 2, 1, 3], [1, 1, 0, 0, 2, 0, 2, 3], [1, 1, 0, 0, 2, 1, 0, 4], [1, 1, 0, 1, 0, 0, 4, 2], [1, 1, 0, 1, 0, 1, 2, 3], [1, 1, 0, 1, 0, 2, 0, 4], [1, 1, 0, 1, 1, 0, 1, 4], [1, 1, 0, 2, 0, 0, 0, 5], [1, 1, 1, 0, 0, 0, 3, 3], [1, 1, 1, 0, 0, 1, 1, 4], [1, 1, 1, 0, 1, 0, 0, 5], [1, 2, 0, 0, 0, 0, 2, 4], [1, 2, 0, 0, 0, 1, 0, 5], [2, 0, 0, 0, 0, 0, 7, 0], [2, 0, 0, 0, 0, 1, 5, 1], [2, 0, 0, 0, 0, 2, 3, 2], [2, 0, 0, 0, 0, 3, 1, 3], [2, 0, 0, 0, 1, 0, 4, 2], [2, 0, 0, 0, 1, 1, 2, 3], [2, 0, 0, 0, 1, 2, 0, 4], [2, 0, 0, 0, 2, 0, 1, 4], [2, 0, 0, 1, 0, 0, 3, 3], [2, 0, 0, 1, 0, 1, 1, 4], [2, 0, 0, 1, 1, 0, 0, 5], [2, 0, 1, 0, 0, 0, 2, 4], [2, 0, 1, 0, 0, 1, 0, 5], [2, 1, 0, 0, 0, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 6]}
(8, 9, 1) has 495 possible DDs: {[0, 0, 0, 0, 0, 6, 3, 0, 0], [0, 0, 0, 0, 0, 7, 1, 1, 0], [0, 0, 0, 0, 0, 8, 0, 0, 1], [0, 0, 0, 0, 1, 4, 4, 0, 0], [0, 0, 0, 0, 1, 5, 2, 1, 0], [0, 0, 0, 0, 1, 6, 0, 2, 0], [0, 0, 0, 0, 1, 6, 1, 0, 1], [0, 0, 0, 0, 2, 2, 5, 0, 0], [0, 0, 0, 0, 2, 3, 3, 1, 0], [0, 0, 0, 0, 2, 4, 1, 2, 0], [0, 0, 0, 0, 2, 4, 2, 0, 1], [0, 0, 0, 0, 2, 5, 0, 1, 1], [0, 0, 0, 0, 3, 0, 6, 0, 0], [0, 0, 0, 0, 3, 1, 4, 1, 0], [0, 0, 0, 0, 3, 2, 2, 2, 0], [0, 0, 0, 0, 3, 2, 3, 0, 1], [0, 0, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 0, 3, 3, 1, 1, 1], [0, 0, 0, 0, 3, 4, 0, 0, 2], [0, 0, 0, 0, 4, 0, 3, 2, 0], [0, 0, 0, 0, 4, 0, 4, 0, 1], [0, 0, 0, 0, 4, 1, 1, 3, 0], [0, 0, 0, 0, 4, 1, 2, 1, 1], [0, 0, 0, 0, 4, 2, 0, 2, 1], [0, 0, 0, 0, 4, 2, 1, 0, 2], [0, 0, 0, 0, 5, 0, 0, 4, 0], [0, 0, 0, 0, 5, 0, 1, 2, 1], [0, 0, 0, 0, 5, 0, 2, 0, 2], [0, 0, 0, 0, 5, 1, 0, 1, 2], [0, 0, 0, 0, 6, 0, 0, 0, 3], [0, 0, 0, 1, 0, 3, 5, 0, 0], [0, 0, 0, 1, 0, 4, 3, 1, 0], [0, 0, 0, 1, 0, 5, 1, 2, 0], [0, 0, 0, 1, 0, 5, 2, 0, 1], [0, 0, 0, 1, 0, 6, 0, 1, 1], [0, 0, 0, 1, 1, 1, 6, 0, 0], [0, 0, 0, 1, 1, 2, 4, 1, 0], [0, 0, 0, 1, 1, 3, 2, 2, 0], [0, 0, 0, 1, 1, 3, 3, 0, 1], [0, 0, 0, 1, 1, 4, 0, 3, 0], [0, 0, 0, 1, 1, 4, 1, 1, 1], [0, 0, 0, 1, 1, 5, 0, 0, 2], [0, 0, 0, 1, 2, 0, 5, 1, 0], [0, 0, 0, 1, 2, 1, 3, 2, 0], [0, 0, 0, 1, 2, 1, 4, 0, 1], [0, 0, 0, 1, 2, 2, 1, 3, 0], [0, 0, 0, 1, 2, 2, 2, 1, 1], [0, 0, 0, 1, 2, 3, 0, 2, 1], [0, 0, 0, 1, 2, 3, 1, 0, 2], [0, 0, 0, 1, 3, 0, 2, 3, 0], [0, 0, 0, 1, 3, 0, 3, 1, 1], [0, 0, 0, 1, 3, 1, 0, 4, 0], [0, 0, 0, 1, 3, 1, 1, 2, 1], [0, 0, 0, 1, 3, 1, 2, 0, 2], [0, 0, 0, 1, 3, 2, 0, 1, 2], [0, 0, 0, 1, 4, 0, 0, 3, 1], [0, 0, 0, 1, 4, 0, 1, 1, 2], [0, 0, 0, 1, 4, 1, 0, 0, 3], [0, 0, 0, 2, 0, 0, 7, 0, 0], [0, 0, 0, 2, 0, 1, 5, 1, 0], [0, 0, 0, 2, 0, 2, 3, 2, 0], [0, 0, 0, 2, 0, 2, 4, 0, 1], [0, 0, 0, 2, 0, 3, 1, 3, 0], [0, 0, 0, 2, 0, 3, 2, 1, 1], [0, 0, 0, 2, 0, 4, 0, 2, 1], [0, 0, 0, 2, 0, 4, 1, 0, 2], [0, 0, 0, 2, 1, 0, 4, 2, 0], [0, 0, 0, 2, 1, 0, 5, 0, 1], [0, 0, 0, 2, 1, 1, 2, 3, 0], [0, 0, 0, 2, 1, 1, 3, 1, 1], [0, 0, 0, 2, 1, 2, 0, 4, 0], [0, 0, 0, 2, 1, 2, 1, 2, 1], [0, 0, 0, 2, 1, 2, 2, 0, 2], [0, 0, 0, 2, 1, 3, 0, 1, 2], [0, 0, 0, 2, 2, 0, 1, 4, 0], [0, 0, 0, 2, 2, 0, 2, 2, 1], [0, 0, 0, 2, 2, 0, 3, 0, 2], [0, 0, 0, 2, 2, 1, 0, 3, 1], [0, 0, 0, 2, 2, 1, 1, 1, 2], [0, 0, 0, 2, 2, 2, 0, 0, 3], [0, 0, 0, 2, 3, 0, 0, 2, 2], [0, 0, 0, 2, 3, 0, 1, 0, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 3, 0, 0, 4, 1, 1], [0, 0, 0, 3, 0, 1, 1, 4, 0], [0, 0, 0, 3, 0, 1, 2, 2, 1], [0, 0, 0, 3, 0, 1, 3, 0, 2], [0, 0, 0, 3, 0, 2, 0, 3, 1], [0, 0, 0, 3, 0, 2, 1, 1, 2], [0, 0, 0, 3, 0, 3, 0, 0, 3], [0, 0, 0, 3, 1, 0, 0, 5, 0], [0, 0, 0, 3, 1, 0, 1, 3, 1], [0, 0, 0, 3, 1, 0, 2, 1, 2], [0, 0, 0, 3, 1, 1, 0, 2, 2], [0, 0, 0, 3, 1, 1, 1, 0, 3], [0, 0, 0, 3, 2, 0, 0, 1, 3], [0, 0, 0, 4, 0, 0, 0, 4, 1], [0, 0, 0, 4, 0, 0, 1, 2, 2], [0, 0, 0, 4, 0, 0, 2, 0, 3], [0, 0, 0, 4, 0, 1, 0, 1, 3], [0, 0, 0, 4, 1, 0, 0, 0, 4], [0, 0, 1, 0, 0, 2, 6, 0, 0], [0, 0, 1, 0, 0, 3, 4, 1, 0], [0, 0, 1, 0, 0, 4, 2, 2, 0], [0, 0, 1, 0, 0, 4, 3, 0, 1], [0, 0, 1, 0, 0, 5, 0, 3, 0], [0, 0, 1, 0, 0, 5, 1, 1, 1], [0, 0, 1, 0, 0, 6, 0, 0, 2], [0, 0, 1, 0, 1, 0, 7, 0, 0], [0, 0, 1, 0, 1, 1, 5, 1, 0], [0, 0, 1, 0, 1, 2, 3, 2, 0], [0, 0, 1, 0, 1, 2, 4, 0, 1], [0, 0, 1, 0, 1, 3, 1, 3, 0], [0, 0, 1, 0, 1, 3, 2, 1, 1], [0, 0, 1, 0, 1, 4, 0, 2, 1], [0, 0, 1, 0, 1, 4, 1, 0, 2], [0, 0, 1, 0, 2, 0, 4, 2, 0], [0, 0, 1, 0, 2, 0, 5, 0, 1], [0, 0, 1, 0, 2, 1, 2, 3, 0], [0, 0, 1, 0, 2, 1, 3, 1, 1], [0, 0, 1, 0, 2, 2, 0, 4, 0], [0, 0, 1, 0, 2, 2, 1, 2, 1], [0, 0, 1, 0, 2, 2, 2, 0, 2], [0, 0, 1, 0, 2, 3, 0, 1, 2], [0, 0, 1, 0, 3, 0, 1, 4, 0], [0, 0, 1, 0, 3, 0, 2, 2, 1], [0, 0, 1, 0, 3, 0, 3, 0, 2], [0, 0, 1, 0, 3, 1, 0, 3, 1], [0, 0, 1, 0, 3, 1, 1, 1, 2], [0, 0, 1, 0, 3, 2, 0, 0, 3], [0, 0, 1, 0, 4, 0, 0, 2, 2], [0, 0, 1, 0, 4, 0, 1, 0, 3], [0, 0, 1, 1, 0, 0, 6, 1, 0], [0, 0, 1, 1, 0, 1, 4, 2, 0], [0, 0, 1, 1, 0, 1, 5, 0, 1], [0, 0, 1, 1, 0, 2, 2, 3, 0], [0, 0, 1, 1, 0, 2, 3, 1, 1], [0, 0, 1, 1, 0, 3, 0, 4, 0], [0, 0, 1, 1, 0, 3, 1, 2, 1], [0, 0, 1, 1, 0, 3, 2, 0, 2], [0, 0, 1, 1, 0, 4, 0, 1, 2], [0, 0, 1, 1, 1, 0, 3, 3, 0], [0, 0, 1, 1, 1, 0, 4, 1, 1], [0, 0, 1, 1, 1, 1, 1, 4, 0], [0, 0, 1, 1, 1, 1, 2, 2, 1], [0, 0, 1, 1, 1, 1, 3, 0, 2], [0, 0, 1, 1, 1, 2, 0, 3, 1], [0, 0, 1, 1, 1, 2, 1, 1, 2], [0, 0, 1, 1, 1, 3, 0, 0, 3], [0, 0, 1, 1, 2, 0, 0, 5, 0], [0, 0, 1, 1, 2, 0, 1, 3, 1], [0, 0, 1, 1, 2, 0, 2, 1, 2], [0, 0, 1, 1, 2, 1, 0, 2, 2], [0, 0, 1, 1, 2, 1, 1, 0, 3], [0, 0, 1, 1, 3, 0, 0, 1, 3], [0, 0, 1, 2, 0, 0, 2, 4, 0], [0, 0, 1, 2, 0, 0, 3, 2, 1], [0, 0, 1, 2, 0, 0, 4, 0, 2], [0, 0, 1, 2, 0, 1, 0, 5, 0], [0, 0, 1, 2, 0, 1, 1, 3, 1], [0, 0, 1, 2, 0, 1, 2, 1, 2], [0, 0, 1, 2, 0, 2, 0, 2, 2], [0, 0, 1, 2, 0, 2, 1, 0, 3], [0, 0, 1, 2, 1, 0, 0, 4, 1], [0, 0, 1, 2, 1, 0, 1, 2, 2], [0, 0, 1, 2, 1, 0, 2, 0, 3], [0, 0, 1, 2, 1, 1, 0, 1, 3], [0, 0, 1, 2, 2, 0, 0, 0, 4], [0, 0, 1, 3, 0, 0, 0, 3, 2], [0, 0, 1, 3, 0, 0, 1, 1, 3], [0, 0, 1, 3, 0, 1, 0, 0, 4], [0, 0, 2, 0, 0, 0, 5, 2, 0], [0, 0, 2, 0, 0, 0, 6, 0, 1], [0, 0, 2, 0, 0, 1, 3, 3, 0], [0, 0, 2, 0, 0, 1, 4, 1, 1], [0, 0, 2, 0, 0, 2, 1, 4, 0], [0, 0, 2, 0, 0, 2, 2, 2, 1], [0, 0, 2, 0, 0, 2, 3, 0, 2], [0, 0, 2, 0, 0, 3, 0, 3, 1], [0, 0, 2, 0, 0, 3, 1, 1, 2], [0, 0, 2, 0, 0, 4, 0, 0, 3], [0, 0, 2, 0, 1, 0, 2, 4, 0], [0, 0, 2, 0, 1, 0, 3, 2, 1], [0, 0, 2, 0, 1, 0, 4, 0, 2], [0, 0, 2, 0, 1, 1, 0, 5, 0], [0, 0, 2, 0, 1, 1, 1, 3, 1], [0, 0, 2, 0, 1, 1, 2, 1, 2], [0, 0, 2, 0, 1, 2, 0, 2, 2], [0, 0, 2, 0, 1, 2, 1, 0, 3], [0, 0, 2, 0, 2, 0, 0, 4, 1], [0, 0, 2, 0, 2, 0, 1, 2, 2], [0, 0, 2, 0, 2, 0, 2, 0, 3], [0, 0, 2, 0, 2, 1, 0, 1, 3], [0, 0, 2, 0, 3, 0, 0, 0, 4], [0, 0, 2, 1, 0, 0, 1, 5, 0], [0, 0, 2, 1, 0, 0, 2, 3, 1], [0, 0, 2, 1, 0, 0, 3, 1, 2], [0, 0, 2, 1, 0, 1, 0, 4, 1], [0, 0, 2, 1, 0, 1, 1, 2, 2], [0, 0, 2, 1, 0, 1, 2, 0, 3], [0, 0, 2, 1, 0, 2, 0, 1, 3], [0, 0, 2, 1, 1, 0, 0, 3, 2], [0, 0, 2, 1, 1, 0, 1, 1, 3], [0, 0, 2, 1, 1, 1, 0, 0, 4], [0, 0, 2, 2, 0, 0, 0, 2, 3], [0, 0, 2, 2, 0, 0, 1, 0, 4], [0, 0, 3, 0, 0, 0, 0, 6, 0], [0, 0, 3, 0, 0, 0, 1, 4, 1], [0, 0, 3, 0, 0, 0, 2, 2, 2], [0, 0, 3, 0, 0, 0, 3, 0, 3], [0, 0, 3, 0, 0, 1, 0, 3, 2], [0, 0, 3, 0, 0, 1, 1, 1, 3], [0, 0, 3, 0, 0, 2, 0, 0, 4], [0, 0, 3, 0, 1, 0, 0, 2, 3], [0, 0, 3, 0, 1, 0, 1, 0, 4], [0, 0, 3, 1, 0, 0, 0, 1, 4], [0, 0, 4, 0, 0, 0, 0, 0, 5], [0, 1, 0, 0, 0, 1, 7, 0, 0], [0, 1, 0, 0, 0, 2, 5, 1, 0], [0, 1, 0, 0, 0, 3, 3, 2, 0], [0, 1, 0, 0, 0, 3, 4, 0, 1], [0, 1, 0, 0, 0, 4, 1, 3, 0], [0, 1, 0, 0, 0, 4, 2, 1, 1], [0, 1, 0, 0, 0, 5, 0, 2, 1], [0, 1, 0, 0, 0, 5, 1, 0, 2], [0, 1, 0, 0, 1, 0, 6, 1, 0], [0, 1, 0, 0, 1, 1, 4, 2, 0], [0, 1, 0, 0, 1, 1, 5, 0, 1], [0, 1, 0, 0, 1, 2, 2, 3, 0], [0, 1, 0, 0, 1, 2, 3, 1, 1], [0, 1, 0, 0, 1, 3, 0, 4, 0], [0, 1, 0, 0, 1, 3, 1, 2, 1], [0, 1, 0, 0, 1, 3, 2, 0, 2], [0, 1, 0, 0, 1, 4, 0, 1, 2], [0, 1, 0, 0, 2, 0, 3, 3, 0], [0, 1, 0, 0, 2, 0, 4, 1, 1], [0, 1, 0, 0, 2, 1, 1, 4, 0], [0, 1, 0, 0, 2, 1, 2, 2, 1], [0, 1, 0, 0, 2, 1, 3, 0, 2], [0, 1, 0, 0, 2, 2, 0, 3, 1], [0, 1, 0, 0, 2, 2, 1, 1, 2], [0, 1, 0, 0, 2, 3, 0, 0, 3], [0, 1, 0, 0, 3, 0, 0, 5, 0], [0, 1, 0, 0, 3, 0, 1, 3, 1], [0, 1, 0, 0, 3, 0, 2, 1, 2], [0, 1, 0, 0, 3, 1, 0, 2, 2], [0, 1, 0, 0, 3, 1, 1, 0, 3], [0, 1, 0, 0, 4, 0, 0, 1, 3], [0, 1, 0, 1, 0, 0, 5, 2, 0], [0, 1, 0, 1, 0, 0, 6, 0, 1], [0, 1, 0, 1, 0, 1, 3, 3, 0], [0, 1, 0, 1, 0, 1, 4, 1, 1], [0, 1, 0, 1, 0, 2, 1, 4, 0], [0, 1, 0, 1, 0, 2, 2, 2, 1], [0, 1, 0, 1, 0, 2, 3, 0, 2], [0, 1, 0, 1, 0, 3, 0, 3, 1], [0, 1, 0, 1, 0, 3, 1, 1, 2], [0, 1, 0, 1, 0, 4, 0, 0, 3], [0, 1, 0, 1, 1, 0, 2, 4, 0], [0, 1, 0, 1, 1, 0, 3, 2, 1], [0, 1, 0, 1, 1, 0, 4, 0, 2], [0, 1, 0, 1, 1, 1, 0, 5, 0], [0, 1, 0, 1, 1, 1, 1, 3, 1], [0, 1, 0, 1, 1, 1, 2, 1, 2], [0, 1, 0, 1, 1, 2, 0, 2, 2], [0, 1, 0, 1, 1, 2, 1, 0, 3], [0, 1, 0, 1, 2, 0, 0, 4, 1], [0, 1, 0, 1, 2, 0, 1, 2, 2], [0, 1, 0, 1, 2, 0, 2, 0, 3], [0, 1, 0, 1, 2, 1, 0, 1, 3], [0, 1, 0, 1, 3, 0, 0, 0, 4], [0, 1, 0, 2, 0, 0, 1, 5, 0], [0, 1, 0, 2, 0, 0, 2, 3, 1], [0, 1, 0, 2, 0, 0, 3, 1, 2], [0, 1, 0, 2, 0, 1, 0, 4, 1], [0, 1, 0, 2, 0, 1, 1, 2, 2], [0, 1, 0, 2, 0, 1, 2, 0, 3], [0, 1, 0, 2, 0, 2, 0, 1, 3], [0, 1, 0, 2, 1, 0, 0, 3, 2], [0, 1, 0, 2, 1, 0, 1, 1, 3], [0, 1, 0, 2, 1, 1, 0, 0, 4], [0, 1, 0, 3, 0, 0, 0, 2, 3], [0, 1, 0, 3, 0, 0, 1, 0, 4], [0, 1, 1, 0, 0, 0, 4, 3, 0], [0, 1, 1, 0, 0, 0, 5, 1, 1], [0, 1, 1, 0, 0, 1, 2, 4, 0], [0, 1, 1, 0, 0, 1, 3, 2, 1], [0, 1, 1, 0, 0, 1, 4, 0, 2], [0, 1, 1, 0, 0, 2, 0, 5, 0], [0, 1, 1, 0, 0, 2, 1, 3, 1], [0, 1, 1, 0, 0, 2, 2, 1, 2], [0, 1, 1, 0, 0, 3, 0, 2, 2], [0, 1, 1, 0, 0, 3, 1, 0, 3], [0, 1, 1, 0, 1, 0, 1, 5, 0], [0, 1, 1, 0, 1, 0, 2, 3, 1], [0, 1, 1, 0, 1, 0, 3, 1, 2], [0, 1, 1, 0, 1, 1, 0, 4, 1], [0, 1, 1, 0, 1, 1, 1, 2, 2], [0, 1, 1, 0, 1, 1, 2, 0, 3], [0, 1, 1, 0, 1, 2, 0, 1, 3], [0, 1, 1, 0, 2, 0, 0, 3, 2], [0, 1, 1, 0, 2, 0, 1, 1, 3], [0, 1, 1, 0, 2, 1, 0, 0, 4], [0, 1, 1, 1, 0, 0, 0, 6, 0], [0, 1, 1, 1, 0, 0, 1, 4, 1], [0, 1, 1, 1, 0, 0, 2, 2, 2], [0, 1, 1, 1, 0, 0, 3, 0, 3], [0, 1, 1, 1, 0, 1, 0, 3, 2], [0, 1, 1, 1, 0, 1, 1, 1, 3], [0, 1, 1, 1, 0, 2, 0, 0, 4], [0, 1, 1, 1, 1, 0, 0, 2, 3], [0, 1, 1, 1, 1, 0, 1, 0, 4], [0, 1, 1, 2, 0, 0, 0, 1, 4], [0, 1, 2, 0, 0, 0, 0, 5, 1], [0, 1, 2, 0, 0, 0, 1, 3, 2], [0, 1, 2, 0, 0, 0, 2, 1, 3], [0, 1, 2, 0, 0, 1, 0, 2, 3], [0, 1, 2, 0, 0, 1, 1, 0, 4], [0, 1, 2, 0, 1, 0, 0, 1, 4], [0, 1, 2, 1, 0, 0, 0, 0, 5], [0, 2, 0, 0, 0, 0, 3, 4, 0], [0, 2, 0, 0, 0, 0, 4, 2, 1], [0, 2, 0, 0, 0, 0, 5, 0, 2], [0, 2, 0, 0, 0, 1, 1, 5, 0], [0, 2, 0, 0, 0, 1, 2, 3, 1], [0, 2, 0, 0, 0, 1, 3, 1, 2], [0, 2, 0, 0, 0, 2, 0, 4, 1], [0, 2, 0, 0, 0, 2, 1, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 3], [0, 2, 0, 0, 0, 3, 0, 1, 3], [0, 2, 0, 0, 1, 0, 0, 6, 0], [0, 2, 0, 0, 1, 0, 1, 4, 1], [0, 2, 0, 0, 1, 0, 2, 2, 2], [0, 2, 0, 0, 1, 0, 3, 0, 3], [0, 2, 0, 0, 1, 1, 0, 3, 2], [0, 2, 0, 0, 1, 1, 1, 1, 3], [0, 2, 0, 0, 1, 2, 0, 0, 4], [0, 2, 0, 0, 2, 0, 0, 2, 3], [0, 2, 0, 0, 2, 0, 1, 0, 4], [0, 2, 0, 1, 0, 0, 0, 5, 1], [0, 2, 0, 1, 0, 0, 1, 3, 2], [0, 2, 0, 1, 0, 0, 2, 1, 3], [0, 2, 0, 1, 0, 1, 0, 2, 3], [0, 2, 0, 1, 0, 1, 1, 0, 4], [0, 2, 0, 1, 1, 0, 0, 1, 4], [0, 2, 0, 2, 0, 0, 0, 0, 5], [0, 2, 1, 0, 0, 0, 0, 4, 2], [0, 2, 1, 0, 0, 0, 1, 2, 3], [0, 2, 1, 0, 0, 0, 2, 0, 4], [0, 2, 1, 0, 0, 1, 0, 1, 4], [0, 2, 1, 0, 1, 0, 0, 0, 5], [0, 3, 0, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 1, 1, 4], [0, 3, 0, 0, 0, 1, 0, 0, 5], [1, 0, 0, 0, 0, 0, 8, 0, 0], [1, 0, 0, 0, 0, 1, 6, 1, 0], [1, 0, 0, 0, 0, 2, 4, 2, 0], [1, 0, 0, 0, 0, 2, 5, 0, 1], [1, 0, 0, 0, 0, 3, 2, 3, 0], [1, 0, 0, 0, 0, 3, 3, 1, 1], [1, 0, 0, 0, 0, 4, 0, 4, 0], [1, 0, 0, 0, 0, 4, 1, 2, 1], [1, 0, 0, 0, 0, 4, 2, 0, 2], [1, 0, 0, 0, 0, 5, 0, 1, 2], [1, 0, 0, 0, 1, 0, 5, 2, 0], [1, 0, 0, 0, 1, 0, 6, 0, 1], [1, 0, 0, 0, 1, 1, 3, 3, 0], [1, 0, 0, 0, 1, 1, 4, 1, 1], [1, 0, 0, 0, 1, 2, 1, 4, 0], [1, 0, 0, 0, 1, 2, 2, 2, 1], [1, 0, 0, 0, 1, 2, 3, 0, 2], [1, 0, 0, 0, 1, 3, 0, 3, 1], [1, 0, 0, 0, 1, 3, 1, 1, 2], [1, 0, 0, 0, 1, 4, 0, 0, 3], [1, 0, 0, 0, 2, 0, 2, 4, 0], [1, 0, 0, 0, 2, 0, 3, 2, 1], [1, 0, 0, 0, 2, 0, 4, 0, 2], [1, 0, 0, 0, 2, 1, 0, 5, 0], [1, 0, 0, 0, 2, 1, 1, 3, 1], [1, 0, 0, 0, 2, 1, 2, 1, 2], [1, 0, 0, 0, 2, 2, 0, 2, 2], [1, 0, 0, 0, 2, 2, 1, 0, 3], [1, 0, 0, 0, 3, 0, 0, 4, 1], [1, 0, 0, 0, 3, 0, 1, 2, 2], [1, 0, 0, 0, 3, 0, 2, 0, 3], [1, 0, 0, 0, 3, 1, 0, 1, 3], [1, 0, 0, 0, 4, 0, 0, 0, 4], [1, 0, 0, 1, 0, 0, 4, 3, 0], [1, 0, 0, 1, 0, 0, 5, 1, 1], [1, 0, 0, 1, 0, 1, 2, 4, 0], [1, 0, 0, 1, 0, 1, 3, 2, 1], [1, 0, 0, 1, 0, 1, 4, 0, 2], [1, 0, 0, 1, 0, 2, 0, 5, 0], [1, 0, 0, 1, 0, 2, 1, 3, 1], [1, 0, 0, 1, 0, 2, 2, 1, 2], [1, 0, 0, 1, 0, 3, 0, 2, 2], [1, 0, 0, 1, 0, 3, 1, 0, 3], [1, 0, 0, 1, 1, 0, 1, 5, 0], [1, 0, 0, 1, 1, 0, 2, 3, 1], [1, 0, 0, 1, 1, 0, 3, 1, 2], [1, 0, 0, 1, 1, 1, 0, 4, 1], [1, 0, 0, 1, 1, 1, 1, 2, 2], [1, 0, 0, 1, 1, 1, 2, 0, 3], [1, 0, 0, 1, 1, 2, 0, 1, 3], [1, 0, 0, 1, 2, 0, 0, 3, 2], [1, 0, 0, 1, 2, 0, 1, 1, 3], [1, 0, 0, 1, 2, 1, 0, 0, 4], [1, 0, 0, 2, 0, 0, 0, 6, 0], [1, 0, 0, 2, 0, 0, 1, 4, 1], [1, 0, 0, 2, 0, 0, 2, 2, 2], [1, 0, 0, 2, 0, 0, 3, 0, 3], [1, 0, 0, 2, 0, 1, 0, 3, 2], [1, 0, 0, 2, 0, 1, 1, 1, 3], [1, 0, 0, 2, 0, 2, 0, 0, 4], [1, 0, 0, 2, 1, 0, 0, 2, 3], [1, 0, 0, 2, 1, 0, 1, 0, 4], [1, 0, 0, 3, 0, 0, 0, 1, 4], [1, 0, 1, 0, 0, 0, 3, 4, 0], [1, 0, 1, 0, 0, 0, 4, 2, 1], [1, 0, 1, 0, 0, 0, 5, 0, 2], [1, 0, 1, 0, 0, 1, 1, 5, 0], [1, 0, 1, 0, 0, 1, 2, 3, 1], [1, 0, 1, 0, 0, 1, 3, 1, 2], [1, 0, 1, 0, 0, 2, 0, 4, 1], [1, 0, 1, 0, 0, 2, 1, 2, 2], [1, 0, 1, 0, 0, 2, 2, 0, 3], [1, 0, 1, 0, 0, 3, 0, 1, 3], [1, 0, 1, 0, 1, 0, 0, 6, 0], [1, 0, 1, 0, 1, 0, 1, 4, 1], [1, 0, 1, 0, 1, 0, 2, 2, 2], [1, 0, 1, 0, 1, 0, 3, 0, 3], [1, 0, 1, 0, 1, 1, 0, 3, 2], [1, 0, 1, 0, 1, 1, 1, 1, 3], [1, 0, 1, 0, 1, 2, 0, 0, 4], [1, 0, 1, 0, 2, 0, 0, 2, 3], [1, 0, 1, 0, 2, 0, 1, 0, 4], [1, 0, 1, 1, 0, 0, 0, 5, 1], [1, 0, 1, 1, 0, 0, 1, 3, 2], [1, 0, 1, 1, 0, 0, 2, 1, 3], [1, 0, 1, 1, 0, 1, 0, 2, 3], [1, 0, 1, 1, 0, 1, 1, 0, 4], [1, 0, 1, 1, 1, 0, 0, 1, 4], [1, 0, 1, 2, 0, 0, 0, 0, 5], [1, 0, 2, 0, 0, 0, 0, 4, 2], [1, 0, 2, 0, 0, 0, 1, 2, 3], [1, 0, 2, 0, 0, 0, 2, 0, 4], [1, 0, 2, 0, 0, 1, 0, 1, 4], [1, 0, 2, 0, 1, 0, 0, 0, 5], [1, 1, 0, 0, 0, 0, 2, 5, 0], [1, 1, 0, 0, 0, 0, 3, 3, 1], [1, 1, 0, 0, 0, 0, 4, 1, 2], [1, 1, 0, 0, 0, 1, 0, 6, 0], [1, 1, 0, 0, 0, 1, 1, 4, 1], [1, 1, 0, 0, 0, 1, 2, 2, 2], [1, 1, 0, 0, 0, 1, 3, 0, 3], [1, 1, 0, 0, 0, 2, 0, 3, 2], [1, 1, 0, 0, 0, 2, 1, 1, 3], [1, 1, 0, 0, 0, 3, 0, 0, 4], [1, 1, 0, 0, 1, 0, 0, 5, 1], [1, 1, 0, 0, 1, 0, 1, 3, 2], [1, 1, 0, 0, 1, 0, 2, 1, 3], [1, 1, 0, 0, 1, 1, 0, 2, 3], [1, 1, 0, 0, 1, 1, 1, 0, 4], [1, 1, 0, 0, 2, 0, 0, 1, 4], [1, 1, 0, 1, 0, 0, 0, 4, 2], [1, 1, 0, 1, 0, 0, 1, 2, 3], [1, 1, 0, 1, 0, 0, 2, 0, 4], [1, 1, 0, 1, 0, 1, 0, 1, 4], [1, 1, 0, 1, 1, 0, 0, 0, 5], [1, 1, 1, 0, 0, 0, 0, 3, 3], [1, 1, 1, 0, 0, 0, 1, 1, 4], [1, 1, 1, 0, 0, 1, 0, 0, 5], [1, 2, 0, 0, 0, 0, 0, 2, 4], [1, 2, 0, 0, 0, 0, 1, 0, 5], [2, 0, 0, 0, 0, 0, 1, 6, 0], [2, 0, 0, 0, 0, 0, 2, 4, 1], [2, 0, 0, 0, 0, 0, 3, 2, 2], [2, 0, 0, 0, 0, 0, 4, 0, 3], [2, 0, 0, 0, 0, 1, 0, 5, 1], [2, 0, 0, 0, 0, 1, 1, 3, 2], [2, 0, 0, 0, 0, 1, 2, 1, 3], [2, 0, 0, 0, 0, 2, 0, 2, 3], [2, 0, 0, 0, 0, 2, 1, 0, 4], [2, 0, 0, 0, 1, 0, 0, 4, 2], [2, 0, 0, 0, 1, 0, 1, 2, 3], [2, 0, 0, 0, 1, 0, 2, 0, 4], [2, 0, 0, 0, 1, 1, 0, 1, 4], [2, 0, 0, 0, 2, 0, 0, 0, 5], [2, 0, 0, 1, 0, 0, 0, 3, 3], [2, 0, 0, 1, 0, 0, 1, 1, 4], [2, 0, 0, 1, 0, 1, 0, 0, 5], [2, 0, 1, 0, 0, 0, 0, 2, 4], [2, 0, 1, 0, 0, 0, 1, 0, 5], [2, 1, 0, 0, 0, 0, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 0, 6]}
(9, 9, 1) has 867 possible DDs: {[0, 0, 0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 1, 0, 0], [0, 0, 0, 0, 0, 2, 5, 2, 0, 0], [0, 0, 0, 0, 0, 2, 6, 0, 1, 0], [0, 0, 0, 0, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 4, 1, 1, 0], [0, 0, 0, 0, 0, 3, 5, 0, 0, 1], [0, 0, 0, 0, 0, 4, 1, 4, 0, 0], [0, 0, 0, 0, 0, 4, 2, 2, 1, 0], [0, 0, 0, 0, 0, 4, 3, 0, 2, 0], [0, 0, 0, 0, 0, 4, 3, 1, 0, 1], [0, 0, 0, 0, 0, 5, 0, 3, 1, 0], [0, 0, 0, 0, 0, 5, 1, 1, 2, 0], [0, 0, 0, 0, 0, 5, 1, 2, 0, 1], [0, 0, 0, 0, 0, 5, 2, 0, 1, 1], [0, 0, 0, 0, 0, 6, 0, 0, 3, 0], [0, 0, 0, 0, 0, 6, 0, 1, 1, 1], [0, 0, 0, 0, 0, 6, 1, 0, 0, 2], [0, 0, 0, 0, 1, 0, 6, 2, 0, 0], [0, 0, 0, 0, 1, 0, 7, 0, 1, 0], [0, 0, 0, 0, 1, 1, 4, 3, 0, 0], [0, 0, 0, 0, 1, 1, 5, 1, 1, 0], [0, 0, 0, 0, 1, 1, 6, 0, 0, 1], [0, 0, 0, 0, 1, 2, 2, 4, 0, 0], [0, 0, 0, 0, 1, 2, 3, 2, 1, 0], [0, 0, 0, 0, 1, 2, 4, 0, 2, 0], [0, 0, 0, 0, 1, 2, 4, 1, 0, 1], [0, 0, 0, 0, 1, 3, 0, 5, 0, 0], [0, 0, 0, 0, 1, 3, 1, 3, 1, 0], [0, 0, 0, 0, 1, 3, 2, 1, 2, 0], [0, 0, 0, 0, 1, 3, 2, 2, 0, 1], [0, 0, 0, 0, 1, 3, 3, 0, 1, 1], [0, 0, 0, 0, 1, 4, 0, 2, 2, 0], [0, 0, 0, 0, 1, 4, 0, 3, 0, 1], [0, 0, 0, 0, 1, 4, 1, 0, 3, 0], [0, 0, 0, 0, 1, 4, 1, 1, 1, 1], [0, 0, 0, 0, 1, 4, 2, 0, 0, 2], [0, 0, 0, 0, 1, 5, 0, 0, 2, 1], [0, 0, 0, 0, 1, 5, 0, 1, 0, 2], [0, 0, 0, 0, 2, 0, 3, 4, 0, 0], [0, 0, 0, 0, 2, 0, 4, 2, 1, 0], [0, 0, 0, 0, 2, 0, 5, 0, 2, 0], [0, 0, 0, 0, 2, 0, 5, 1, 0, 1], [0, 0, 0, 0, 2, 1, 1, 5, 0, 0], [0, 0, 0, 0, 2, 1, 2, 3, 1, 0], [0, 0, 0, 0, 2, 1, 3, 1, 2, 0], [0, 0, 0, 0, 2, 1, 3, 2, 0, 1], [0, 0, 0, 0, 2, 1, 4, 0, 1, 1], [0, 0, 0, 0, 2, 2, 0, 4, 1, 0], [0, 0, 0, 0, 2, 2, 1, 2, 2, 0], [0, 0, 0, 0, 2, 2, 1, 3, 0, 1], [0, 0, 0, 0, 2, 2, 2, 0, 3, 0], [0, 0, 0, 0, 2, 2, 2, 1, 1, 1], [0, 0, 0, 0, 2, 2, 3, 0, 0, 2], [0, 0, 0, 0, 2, 3, 0, 1, 3, 0], [0, 0, 0, 0, 2, 3, 0, 2, 1, 1], [0, 0, 0, 0, 2, 3, 1, 0, 2, 1], [0, 0, 0, 0, 2, 3, 1, 1, 0, 2], [0, 0, 0, 0, 2, 4, 0, 0, 1, 2], [0, 0, 0, 0, 3, 0, 0, 6, 0, 0], [0, 0, 0, 0, 3, 0, 1, 4, 1, 0], [0, 0, 0, 0, 3, 0, 2, 2, 2, 0], [0, 0, 0, 0, 3, 0, 2, 3, 0, 1], [0, 0, 0, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 1, 1, 1], [0, 0, 0, 0, 3, 0, 4, 0, 0, 2], [0, 0, 0, 0, 3, 1, 0, 3, 2, 0], [0, 0, 0, 0, 3, 1, 0, 4, 0, 1], [0, 0, 0, 0, 3, 1, 1, 1, 3, 0], [0, 0, 0, 0, 3, 1, 1, 2, 1, 1], [0, 0, 0, 0, 3, 1, 2, 0, 2, 1], [0, 0, 0, 0, 3, 1, 2, 1, 0, 2], [0, 0, 0, 0, 3, 2, 0, 0, 4, 0], [0, 0, 0, 0, 3, 2, 0, 1, 2, 1], [0, 0, 0, 0, 3, 2, 0, 2, 0, 2], [0, 0, 0, 0, 3, 2, 1, 0, 1, 2], [0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 4, 0, 0, 2, 3, 0], [0, 0, 0, 0, 4, 0, 0, 3, 1, 1], [0, 0, 0, 0, 4, 0, 1, 0, 4, 0], [0, 0, 0, 0, 4, 0, 1, 1, 2, 1], [0, 0, 0, 0, 4, 0, 1, 2, 0, 2], [0, 0, 0, 0, 4, 0, 2, 0, 1, 2], [0, 0, 0, 0, 4, 1, 0, 0, 3, 1], [0, 0, 0, 0, 4, 1, 0, 1, 1, 2], [0, 0, 0, 0, 4, 1, 1, 0, 0, 3], [0, 0, 0, 0, 5, 0, 0, 0, 2, 2], [0, 0, 0, 0, 5, 0, 0, 1, 0, 3], [0, 0, 0, 1, 0, 0, 5, 3, 0, 0], [0, 0, 0, 1, 0, 0, 6, 1, 1, 0], [0, 0, 0, 1, 0, 0, 7, 0, 0, 1], [0, 0, 0, 1, 0, 1, 3, 4, 0, 0], [0, 0, 0, 1, 0, 1, 4, 2, 1, 0], [0, 0, 0, 1, 0, 1, 5, 0, 2, 0], [0, 0, 0, 1, 0, 1, 5, 1, 0, 1], [0, 0, 0, 1, 0, 2, 1, 5, 0, 0], [0, 0, 0, 1, 0, 2, 2, 3, 1, 0], [0, 0, 0, 1, 0, 2, 3, 1, 2, 0], [0, 0, 0, 1, 0, 2, 3, 2, 0, 1], [0, 0, 0, 1, 0, 2, 4, 0, 1, 1], [0, 0, 0, 1, 0, 3, 0, 4, 1, 0], [0, 0, 0, 1, 0, 3, 1, 2, 2, 0], [0, 0, 0, 1, 0, 3, 1, 3, 0, 1], [0, 0, 0, 1, 0, 3, 2, 0, 3, 0], [0, 0, 0, 1, 0, 3, 2, 1, 1, 1], [0, 0, 0, 1, 0, 3, 3, 0, 0, 2], [0, 0, 0, 1, 0, 4, 0, 1, 3, 0], [0, 0, 0, 1, 0, 4, 0, 2, 1, 1], [0, 0, 0, 1, 0, 4, 1, 0, 2, 1], [0, 0, 0, 1, 0, 4, 1, 1, 0, 2], [0, 0, 0, 1, 0, 5, 0, 0, 1, 2], [0, 0, 0, 1, 1, 0, 2, 5, 0, 0], [0, 0, 0, 1, 1, 0, 3, 3, 1, 0], [0, 0, 0, 1, 1, 0, 4, 1, 2, 0], [0, 0, 0, 1, 1, 0, 4, 2, 0, 1], [0, 0, 0, 1, 1, 0, 5, 0, 1, 1], [0, 0, 0, 1, 1, 1, 0, 6, 0, 0], [0, 0, 0, 1, 1, 1, 1, 4, 1, 0], [0, 0, 0, 1, 1, 1, 2, 2, 2, 0], [0, 0, 0, 1, 1, 1, 2, 3, 0, 1], [0, 0, 0, 1, 1, 1, 3, 0, 3, 0], [0, 0, 0, 1, 1, 1, 3, 1, 1, 1], [0, 0, 0, 1, 1, 1, 4, 0, 0, 2], [0, 0, 0, 1, 1, 2, 0, 3, 2, 0], [0, 0, 0, 1, 1, 2, 0, 4, 0, 1], [0, 0, 0, 1, 1, 2, 1, 1, 3, 0], [0, 0, 0, 1, 1, 2, 1, 2, 1, 1], [0, 0, 0, 1, 1, 2, 2, 0, 2, 1], [0, 0, 0, 1, 1, 2, 2, 1, 0, 2], [0, 0, 0, 1, 1, 3, 0, 0, 4, 0], [0, 0, 0, 1, 1, 3, 0, 1, 2, 1], [0, 0, 0, 1, 1, 3, 0, 2, 0, 2], [0, 0, 0, 1, 1, 3, 1, 0, 1, 2], [0, 0, 0, 1, 1, 4, 0, 0, 0, 3], [0, 0, 0, 1, 2, 0, 0, 5, 1, 0], [0, 0, 0, 1, 2, 0, 1, 3, 2, 0], [0, 0, 0, 1, 2, 0, 1, 4, 0, 1], [0, 0, 0, 1, 2, 0, 2, 1, 3, 0], [0, 0, 0, 1, 2, 0, 2, 2, 1, 1], [0, 0, 0, 1, 2, 0, 3, 0, 2, 1], [0, 0, 0, 1, 2, 0, 3, 1, 0, 2], [0, 0, 0, 1, 2, 1, 0, 2, 3, 0], [0, 0, 0, 1, 2, 1, 0, 3, 1, 1], [0, 0, 0, 1, 2, 1, 1, 0, 4, 0], [0, 0, 0, 1, 2, 1, 1, 1, 2, 1], [0, 0, 0, 1, 2, 1, 1, 2, 0, 2], [0, 0, 0, 1, 2, 1, 2, 0, 1, 2], [0, 0, 0, 1, 2, 2, 0, 0, 3, 1], [0, 0, 0, 1, 2, 2, 0, 1, 1, 2], [0, 0, 0, 1, 2, 2, 1, 0, 0, 3], [0, 0, 0, 1, 3, 0, 0, 1, 4, 0], [0, 0, 0, 1, 3, 0, 0, 2, 2, 1], [0, 0, 0, 1, 3, 0, 0, 3, 0, 2], [0, 0, 0, 1, 3, 0, 1, 0, 3, 1], [0, 0, 0, 1, 3, 0, 1, 1, 1, 2], [0, 0, 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6, 0], [2, 0, 0, 0, 0, 0, 1, 1, 4, 1], [2, 0, 0, 0, 0, 0, 1, 2, 2, 2], [2, 0, 0, 0, 0, 0, 1, 3, 0, 3], [2, 0, 0, 0, 0, 0, 2, 0, 3, 2], [2, 0, 0, 0, 0, 0, 2, 1, 1, 3], [2, 0, 0, 0, 0, 0, 3, 0, 0, 4], [2, 0, 0, 0, 0, 1, 0, 0, 5, 1], [2, 0, 0, 0, 0, 1, 0, 1, 3, 2], [2, 0, 0, 0, 0, 1, 0, 2, 1, 3], [2, 0, 0, 0, 0, 1, 1, 0, 2, 3], [2, 0, 0, 0, 0, 1, 1, 1, 0, 4], [2, 0, 0, 0, 0, 2, 0, 0, 1, 4], [2, 0, 0, 0, 1, 0, 0, 0, 4, 2], [2, 0, 0, 0, 1, 0, 0, 1, 2, 3], [2, 0, 0, 0, 1, 0, 0, 2, 0, 4], [2, 0, 0, 0, 1, 0, 1, 0, 1, 4], [2, 0, 0, 0, 1, 1, 0, 0, 0, 5], [2, 0, 0, 1, 0, 0, 0, 0, 3, 3], [2, 0, 0, 1, 0, 0, 0, 1, 1, 4], [2, 0, 0, 1, 0, 0, 1, 0, 0, 5], [2, 0, 1, 0, 0, 0, 0, 0, 2, 4], [2, 0, 1, 0, 0, 0, 0, 1, 0, 5], [2, 1, 0, 0, 0, 0, 0, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 0, 0, 6]}
(10, 9, 1) has 1468 possible DDs: {[0, 0, 0, 0, 0, 0, 3, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 0], [0, 0, 0, 0, 0, 0, 5, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 5, 3, 0, 1, 0], [0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 6, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 6, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 7, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 7, 0, 1, 0, 1], [0, 0, 0, 0, 0, 1, 1, 7, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 5, 1, 0, 0], [0, 0, 0, 0, 0, 1, 3, 3, 2, 0, 0], [0, 0, 0, 0, 0, 1, 3, 4, 0, 1, 0], [0, 0, 0, 0, 0, 1, 4, 1, 3, 0, 0], [0, 0, 0, 0, 0, 1, 4, 2, 1, 1, 0], [0, 0, 0, 0, 0, 1, 4, 3, 0, 0, 1], [0, 0, 0, 0, 0, 1, 5, 0, 2, 1, 0], [0, 0, 0, 0, 0, 1, 5, 1, 0, 2, 0], [0, 0, 0, 0, 0, 1, 5, 1, 1, 0, 1], [0, 0, 0, 0, 0, 1, 6, 0, 0, 1, 1], [0, 0, 0, 0, 0, 2, 0, 6, 1, 0, 0], [0, 0, 0, 0, 0, 2, 1, 4, 2, 0, 0], [0, 0, 0, 0, 0, 2, 1, 5, 0, 1, 0], [0, 0, 0, 0, 0, 2, 2, 2, 3, 0, 0], [0, 0, 0, 0, 0, 2, 2, 3, 1, 1, 0], [0, 0, 0, 0, 0, 2, 2, 4, 0, 0, 1], [0, 0, 0, 0, 0, 2, 3, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 3, 1, 2, 1, 0], [0, 0, 0, 0, 0, 2, 3, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 3, 2, 1, 0, 1], [0, 0, 0, 0, 0, 2, 4, 0, 1, 2, 0], [0, 0, 0, 0, 0, 2, 4, 0, 2, 0, 1], [0, 0, 0, 0, 0, 2, 4, 1, 0, 1, 1], [0, 0, 0, 0, 0, 2, 5, 0, 0, 0, 2], [0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 0, 4, 1, 1, 0], [0, 0, 0, 0, 0, 3, 0, 5, 0, 0, 1], [0, 0, 0, 0, 0, 3, 1, 1, 4, 0, 0], [0, 0, 0, 0, 0, 3, 1, 2, 2, 1, 0], [0, 0, 0, 0, 0, 3, 1, 3, 0, 2, 0], [0, 0, 0, 0, 0, 3, 1, 3, 1, 0, 1], [0, 0, 0, 0, 0, 3, 2, 0, 3, 1, 0], [0, 0, 0, 0, 0, 3, 2, 1, 1, 2, 0], [0, 0, 0, 0, 0, 3, 2, 1, 2, 0, 1], [0, 0, 0, 0, 0, 3, 2, 2, 0, 1, 1], [0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 3, 0, 1, 1, 1], [0, 0, 0, 0, 0, 3, 3, 1, 0, 0, 2], [0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 4, 0, 1, 3, 1, 0], [0, 0, 0, 0, 0, 4, 0, 2, 1, 2, 0], [0, 0, 0, 0, 0, 4, 0, 2, 2, 0, 1], [0, 0, 0, 0, 0, 4, 0, 3, 0, 1, 1], [0, 0, 0, 0, 0, 4, 1, 0, 2, 2, 0], [0, 0, 0, 0, 0, 4, 1, 0, 3, 0, 1], [0, 0, 0, 0, 0, 4, 1, 1, 0, 3, 0], [0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 4, 1, 2, 0, 0, 2], [0, 0, 0, 0, 0, 4, 2, 0, 0, 2, 1], [0, 0, 0, 0, 0, 4, 2, 0, 1, 0, 2], [0, 0, 0, 0, 0, 5, 0, 0, 1, 3, 0], [0, 0, 0, 0, 0, 5, 0, 0, 2, 1, 1], [0, 0, 0, 0, 0, 5, 0, 1, 0, 2, 1], [0, 0, 0, 0, 0, 5, 0, 1, 1, 0, 2], [0, 0, 0, 0, 0, 5, 1, 0, 0, 1, 2], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3], [0, 0, 0, 0, 1, 0, 0, 8, 0, 0, 0], [0, 0, 0, 0, 1, 0, 1, 6, 1, 0, 0], [0, 0, 0, 0, 1, 0, 2, 4, 2, 0, 0], [0, 0, 0, 0, 1, 0, 2, 5, 0, 1, 0], [0, 0, 0, 0, 1, 0, 3, 2, 3, 0, 0], [0, 0, 0, 0, 1, 0, 3, 3, 1, 1, 0], [0, 0, 0, 0, 1, 0, 3, 4, 0, 0, 1], [0, 0, 0, 0, 1, 0, 4, 0, 4, 0, 0], [0, 0, 0, 0, 1, 0, 4, 1, 2, 1, 0], [0, 0, 0, 0, 1, 0, 4, 2, 0, 2, 0], [0, 0, 0, 0, 1, 0, 4, 2, 1, 0, 1], [0, 0, 0, 0, 1, 0, 5, 0, 1, 2, 0], [0, 0, 0, 0, 1, 0, 5, 0, 2, 0, 1], [0, 0, 0, 0, 1, 0, 5, 1, 0, 1, 1], [0, 0, 0, 0, 1, 0, 6, 0, 0, 0, 2], [0, 0, 0, 0, 1, 1, 0, 5, 2, 0, 0], [0, 0, 0, 0, 1, 1, 0, 6, 0, 1, 0], [0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0], [0, 0, 0, 0, 1, 1, 1, 4, 1, 1, 0], [0, 0, 0, 0, 1, 1, 1, 5, 0, 0, 1], [0, 0, 0, 0, 1, 1, 2, 1, 4, 0, 0], [0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0], [0, 0, 0, 0, 1, 1, 2, 3, 0, 2, 0], [0, 0, 0, 0, 1, 1, 2, 3, 1, 0, 1], [0, 0, 0, 0, 1, 1, 3, 0, 3, 1, 0], [0, 0, 0, 0, 1, 1, 3, 1, 1, 2, 0], [0, 0, 0, 0, 1, 1, 3, 1, 2, 0, 1], [0, 0, 0, 0, 1, 1, 3, 2, 0, 1, 1], [0, 0, 0, 0, 1, 1, 4, 0, 0, 3, 0], [0, 0, 0, 0, 1, 1, 4, 0, 1, 1, 1], [0, 0, 0, 0, 1, 1, 4, 1, 0, 0, 2], [0, 0, 0, 0, 1, 2, 0, 2, 4, 0, 0], [0, 0, 0, 0, 1, 2, 0, 3, 2, 1, 0], [0, 0, 0, 0, 1, 2, 0, 4, 0, 2, 0], [0, 0, 0, 0, 1, 2, 0, 4, 1, 0, 1], [0, 0, 0, 0, 1, 2, 1, 0, 5, 0, 0], [0, 0, 0, 0, 1, 2, 1, 1, 3, 1, 0], [0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0], [0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1], [0, 0, 0, 0, 1, 2, 1, 3, 0, 1, 1], [0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 1, 2, 2, 0, 3, 0, 1], [0, 0, 0, 0, 1, 2, 2, 1, 0, 3, 0], [0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1], [0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2], [0, 0, 0, 0, 1, 2, 3, 0, 0, 2, 1], [0, 0, 0, 0, 1, 2, 3, 0, 1, 0, 2], [0, 0, 0, 0, 1, 3, 0, 0, 4, 1, 0], [0, 0, 0, 0, 1, 3, 0, 1, 2, 2, 0], [0, 0, 0, 0, 1, 3, 0, 1, 3, 0, 1], [0, 0, 0, 0, 1, 3, 0, 2, 0, 3, 0], [0, 0, 0, 0, 1, 3, 0, 2, 1, 1, 1], [0, 0, 0, 0, 1, 3, 0, 3, 0, 0, 2], [0, 0, 0, 0, 1, 3, 1, 0, 1, 3, 0], [0, 0, 0, 0, 1, 3, 1, 0, 2, 1, 1], [0, 0, 0, 0, 1, 3, 1, 1, 0, 2, 1], [0, 0, 0, 0, 1, 3, 1, 1, 1, 0, 2], [0, 0, 0, 0, 1, 3, 2, 0, 0, 1, 2], [0, 0, 0, 0, 1, 4, 0, 0, 0, 4, 0], [0, 0, 0, 0, 1, 4, 0, 0, 1, 2, 1], [0, 0, 0, 0, 1, 4, 0, 0, 2, 0, 2], [0, 0, 0, 0, 1, 4, 0, 1, 0, 1, 2], [0, 0, 0, 0, 1, 4, 1, 0, 0, 0, 3], [0, 0, 0, 0, 2, 0, 0, 4, 3, 0, 0], [0, 0, 0, 0, 2, 0, 0, 5, 1, 1, 0], [0, 0, 0, 0, 2, 0, 0, 6, 0, 0, 1], [0, 0, 0, 0, 2, 0, 1, 2, 4, 0, 0], [0, 0, 0, 0, 2, 0, 1, 3, 2, 1, 0], [0, 0, 0, 0, 2, 0, 1, 4, 0, 2, 0], [0, 0, 0, 0, 2, 0, 1, 4, 1, 0, 1], [0, 0, 0, 0, 2, 0, 2, 0, 5, 0, 0], [0, 0, 0, 0, 2, 0, 2, 1, 3, 1, 0], [0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0], [0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1], [0, 0, 0, 0, 2, 0, 2, 3, 0, 1, 1], [0, 0, 0, 0, 2, 0, 3, 0, 2, 2, 0], [0, 0, 0, 0, 2, 0, 3, 0, 3, 0, 1], [0, 0, 0, 0, 2, 0, 3, 1, 0, 3, 0], [0, 0, 0, 0, 2, 0, 3, 1, 1, 1, 1], [0, 0, 0, 0, 2, 0, 3, 2, 0, 0, 2], [0, 0, 0, 0, 2, 0, 4, 0, 0, 2, 1], [0, 0, 0, 0, 2, 0, 4, 0, 1, 0, 2], [0, 0, 0, 0, 2, 1, 0, 1, 5, 0, 0], [0, 0, 0, 0, 2, 1, 0, 2, 3, 1, 0], [0, 0, 0, 0, 2, 1, 0, 3, 1, 2, 0], [0, 0, 0, 0, 2, 1, 0, 3, 2, 0, 1], [0, 0, 0, 0, 2, 1, 0, 4, 0, 1, 1], [0, 0, 0, 0, 2, 1, 1, 0, 4, 1, 0], [0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0], [0, 0, 0, 0, 2, 1, 1, 1, 3, 0, 1], [0, 0, 0, 0, 2, 1, 1, 2, 0, 3, 0], [0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1], [0, 0, 0, 0, 2, 1, 1, 3, 0, 0, 2], [0, 0, 0, 0, 2, 1, 2, 0, 1, 3, 0], [0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1], [0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1], [0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2], [0, 0, 0, 0, 2, 1, 3, 0, 0, 1, 2], [0, 0, 0, 0, 2, 2, 0, 0, 3, 2, 0], [0, 0, 0, 0, 2, 2, 0, 0, 4, 0, 1], [0, 0, 0, 0, 2, 2, 0, 1, 1, 3, 0], [0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1], [0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2], [0, 0, 0, 0, 2, 2, 1, 0, 0, 4, 0], [0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1], [0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2], [0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 3], [0, 0, 0, 0, 2, 3, 0, 0, 0, 3, 1], [0, 0, 0, 0, 2, 3, 0, 0, 1, 1, 2], [0, 0, 0, 0, 2, 3, 0, 1, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 3, 0, 0, 1, 4, 1, 0], [0, 0, 0, 0, 3, 0, 0, 2, 2, 2, 0], [0, 0, 0, 0, 3, 0, 0, 2, 3, 0, 1], [0, 0, 0, 0, 3, 0, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 0, 0, 3, 1, 1, 1], [0, 0, 0, 0, 3, 0, 0, 4, 0, 0, 2], [0, 0, 0, 0, 3, 0, 1, 0, 3, 2, 0], [0, 0, 0, 0, 3, 0, 1, 0, 4, 0, 1], [0, 0, 0, 0, 3, 0, 1, 1, 1, 3, 0], [0, 0, 0, 0, 3, 0, 1, 1, 2, 1, 1], [0, 0, 0, 0, 3, 0, 1, 2, 0, 2, 1], [0, 0, 0, 0, 3, 0, 1, 2, 1, 0, 2], [0, 0, 0, 0, 3, 0, 2, 0, 0, 4, 0], [0, 0, 0, 0, 3, 0, 2, 0, 1, 2, 1], [0, 0, 0, 0, 3, 0, 2, 0, 2, 0, 2], [0, 0, 0, 0, 3, 0, 2, 1, 0, 1, 2], [0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3], [0, 0, 0, 0, 3, 1, 0, 0, 2, 3, 0], [0, 0, 0, 0, 3, 1, 0, 0, 3, 1, 1], [0, 0, 0, 0, 3, 1, 0, 1, 0, 4, 0], 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[1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 3], [1, 1, 0, 0, 0, 0, 2, 0, 0, 3, 2], [1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 3], [1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 4], [1, 1, 0, 0, 0, 1, 0, 0, 0, 6, 0], [1, 1, 0, 0, 0, 1, 0, 0, 1, 4, 1], [1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2], [1, 1, 0, 0, 0, 1, 0, 0, 3, 0, 3], [1, 1, 0, 0, 0, 1, 0, 1, 0, 3, 2], [1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 3], [1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 4], [1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 3], [1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 4], [1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 4], [1, 1, 0, 0, 1, 0, 0, 0, 0, 5, 1], [1, 1, 0, 0, 1, 0, 0, 0, 1, 3, 2], [1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 3], [1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 3], [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 4], [1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 4], [1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 5], [1, 1, 0, 1, 0, 0, 0, 0, 0, 4, 2], [1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 3], [1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 4], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 4], [1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 5], [1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3], [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 4], [1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 5], [1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 4], [1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 5], [2, 0, 0, 0, 0, 0, 0, 0, 3, 4, 0], [2, 0, 0, 0, 0, 0, 0, 0, 4, 2, 1], [2, 0, 0, 0, 0, 0, 0, 0, 5, 0, 2], [2, 0, 0, 0, 0, 0, 0, 1, 1, 5, 0], [2, 0, 0, 0, 0, 0, 0, 1, 2, 3, 1], [2, 0, 0, 0, 0, 0, 0, 1, 3, 1, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 4, 1], [2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3], [2, 0, 0, 0, 0, 0, 0, 3, 0, 1, 3], [2, 0, 0, 0, 0, 0, 1, 0, 0, 6, 0], [2, 0, 0, 0, 0, 0, 1, 0, 1, 4, 1], [2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 1, 0, 3, 0, 3], [2, 0, 0, 0, 0, 0, 1, 1, 0, 3, 2], [2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3], [2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 4], [2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3], [2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 4], [2, 0, 0, 0, 0, 1, 0, 0, 0, 5, 1], [2, 0, 0, 0, 0, 1, 0, 0, 1, 3, 2], [2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 3], [2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 3], [2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 4], [2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 4], [2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 5], [2, 0, 0, 0, 1, 0, 0, 0, 0, 4, 2], [2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 3], [2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 4], [2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 4], [2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 5], [2, 0, 0, 1, 0, 0, 0, 0, 0, 3, 3], [2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 4], [2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 5], [2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 4], [2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 5], [2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6]}
(11, 9, 1) has 2393 possible DDs: {[0, 0, 0, 0, 0, 0, 0, 6, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 5, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 6, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 1, 6, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 7, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 2, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 3, 3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 4, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 4, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 5, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 2, 5, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 3, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 1, 4, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 3, 2, 3, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 3, 3, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 3, 4, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 3, 4, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 4, 0, 3, 2, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 1, 0], [0, 0, 0, 0, 0, 0, 4, 1, 1, 3, 0, 0], [0, 0, 0, 0, 0, 0, 4, 1, 2, 1, 1, 0], [0, 0, 0, 0, 0, 0, 4, 1, 3, 0, 0, 1], [0, 0, 0, 0, 0, 0, 4, 2, 0, 2, 1, 0], [0, 0, 0, 0, 0, 0, 4, 2, 1, 0, 2, 0], [0, 0, 0, 0, 0, 0, 4, 2, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 4, 3, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 1, 2, 1, 0], [0, 0, 0, 0, 0, 0, 5, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 0, 5, 0, 2, 1, 0, 1], [0, 0, 0, 0, 0, 0, 5, 1, 0, 1, 2, 0], [0, 0, 0, 0, 0, 0, 5, 1, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 5, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 6, 0, 1, 0, 0, 2], [0, 0, 0, 0, 0, 1, 0, 3, 5, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 4, 3, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 5, 1, 2, 0, 0], [0, 0, 0, 0, 0, 1, 0, 5, 2, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 6, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 0, 6, 1, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 6, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 2, 4, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 3, 2, 2, 0, 0], [0, 0, 0, 0, 0, 1, 1, 3, 3, 0, 1, 0], [0, 0, 0, 0, 0, 1, 1, 4, 0, 3, 0, 0], [0, 0, 0, 0, 0, 1, 1, 4, 1, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 4, 2, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 5, 0, 0, 2, 0], [0, 0, 0, 0, 0, 1, 1, 5, 0, 1, 0, 1], [0, 0, 0, 0, 0, 1, 2, 0, 5, 1, 0, 0], [0, 0, 0, 0, 0, 1, 2, 1, 3, 2, 0, 0], [0, 0, 0, 0, 0, 1, 2, 1, 4, 0, 1, 0], [0, 0, 0, 0, 0, 1, 2, 2, 1, 3, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0], [0, 0, 0, 0, 0, 1, 2, 2, 3, 0, 0, 1], [0, 0, 0, 0, 0, 1, 2, 3, 0, 2, 1, 0], [0, 0, 0, 0, 0, 1, 2, 3, 1, 0, 2, 0], [0, 0, 0, 0, 0, 1, 2, 3, 1, 1, 0, 1], [0, 0, 0, 0, 0, 1, 2, 4, 0, 0, 1, 1], [0, 0, 0, 0, 0, 1, 3, 0, 2, 3, 0, 0], [0, 0, 0, 0, 0, 1, 3, 0, 3, 1, 1, 0], [0, 0, 0, 0, 0, 1, 3, 0, 4, 0, 0, 1], [0, 0, 0, 0, 0, 1, 3, 1, 0, 4, 0, 0], [0, 0, 0, 0, 0, 1, 3, 1, 1, 2, 1, 0], [0, 0, 0, 0, 0, 1, 3, 1, 2, 0, 2, 0], [0, 0, 0, 0, 0, 1, 3, 1, 2, 1, 0, 1], [0, 0, 0, 0, 0, 1, 3, 2, 0, 1, 2, 0], [0, 0, 0, 0, 0, 1, 3, 2, 0, 2, 0, 1], [0, 0, 0, 0, 0, 1, 3, 2, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 2], [0, 0, 0, 0, 0, 1, 4, 0, 0, 3, 1, 0], [0, 0, 0, 0, 0, 1, 4, 0, 1, 1, 2, 0], [0, 0, 0, 0, 0, 1, 4, 0, 1, 2, 0, 1], [0, 0, 0, 0, 0, 1, 4, 0, 2, 0, 1, 1], [0, 0, 0, 0, 0, 1, 4, 1, 0, 0, 3, 0], [0, 0, 0, 0, 0, 1, 4, 1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 1, 4, 1, 1, 0, 0, 2], [0, 0, 0, 0, 0, 1, 5, 0, 0, 0, 2, 1], [0, 0, 0, 0, 0, 1, 5, 0, 0, 1, 0, 2], [0, 0, 0, 0, 0, 2, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 1, 5, 1, 0, 0], [0, 0, 0, 0, 0, 2, 0, 2, 3, 2, 0, 0], [0, 0, 0, 0, 0, 2, 0, 2, 4, 0, 1, 0], [0, 0, 0, 0, 0, 2, 0, 3, 1, 3, 0, 0], [0, 0, 0, 0, 0, 2, 0, 3, 2, 1, 1, 0], [0, 0, 0, 0, 0, 2, 0, 3, 3, 0, 0, 1], [0, 0, 0, 0, 0, 2, 0, 4, 0, 2, 1, 0], [0, 0, 0, 0, 0, 2, 0, 4, 1, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 4, 1, 1, 0, 1], [0, 0, 0, 0, 0, 2, 0, 5, 0, 0, 1, 1], [0, 0, 0, 0, 0, 2, 1, 0, 4, 2, 0, 0], [0, 0, 0, 0, 0, 2, 1, 0, 5, 0, 1, 0], [0, 0, 0, 0, 0, 2, 1, 1, 2, 3, 0, 0], [0, 0, 0, 0, 0, 2, 1, 1, 3, 1, 1, 0], [0, 0, 0, 0, 0, 2, 1, 1, 4, 0, 0, 1], [0, 0, 0, 0, 0, 2, 1, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0], [0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1], [0, 0, 0, 0, 0, 2, 1, 3, 0, 1, 2, 0], [0, 0, 0, 0, 0, 2, 1, 3, 0, 2, 0, 1], [0, 0, 0, 0, 0, 2, 1, 3, 1, 0, 1, 1], [0, 0, 0, 0, 0, 2, 1, 4, 0, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 0, 1, 4, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0], [0, 0, 0, 0, 0, 2, 2, 0, 3, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 0, 3, 1, 0, 1], [0, 0, 0, 0, 0, 2, 2, 1, 0, 3, 1, 0], [0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0], [0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1], [0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 3, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1], [0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2], [0, 0, 0, 0, 0, 2, 3, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 3, 0, 1], [0, 0, 0, 0, 0, 2, 3, 0, 1, 0, 3, 0], [0, 0, 0, 0, 0, 2, 3, 0, 1, 1, 1, 1], [0, 0, 0, 0, 0, 2, 3, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 3, 1, 0, 0, 2, 1], [0, 0, 0, 0, 0, 2, 3, 1, 0, 1, 0, 2], [0, 0, 0, 0, 0, 2, 4, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 4, 1, 1, 0], [0, 0, 0, 0, 0, 3, 0, 0, 5, 0, 0, 1], [0, 0, 0, 0, 0, 3, 0, 1, 1, 4, 0, 0], [0, 0, 0, 0, 0, 3, 0, 1, 2, 2, 1, 0], [0, 0, 0, 0, 0, 3, 0, 1, 3, 0, 2, 0], [0, 0, 0, 0, 0, 3, 0, 1, 3, 1, 0, 1], [0, 0, 0, 0, 0, 3, 0, 2, 0, 3, 1, 0], [0, 0, 0, 0, 0, 3, 0, 2, 1, 1, 2, 0], [0, 0, 0, 0, 0, 3, 0, 2, 1, 2, 0, 1], [0, 0, 0, 0, 0, 3, 0, 2, 2, 0, 1, 1], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 1, 1, 1], [0, 0, 0, 0, 0, 3, 0, 3, 1, 0, 0, 2], [0, 0, 0, 0, 0, 3, 1, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 3, 1, 0, 1, 3, 1, 0], [0, 0, 0, 0, 0, 3, 1, 0, 2, 1, 2, 0], [0, 0, 0, 0, 0, 3, 1, 0, 2, 2, 0, 1], [0, 0, 0, 0, 0, 3, 1, 0, 3, 0, 1, 1], [0, 0, 0, 0, 0, 3, 1, 1, 0, 2, 2, 0], [0, 0, 0, 0, 0, 3, 1, 1, 0, 3, 0, 1], [0, 0, 0, 0, 0, 3, 1, 1, 1, 0, 3, 0], [0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 3, 1, 1, 2, 0, 0, 2], [0, 0, 0, 0, 0, 3, 1, 2, 0, 0, 2, 1], [0, 0, 0, 0, 0, 3, 1, 2, 0, 1, 0, 2], 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0, 1, 0, 0, 0, 0, 6, 0], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4, 1], [1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2], [1, 1, 0, 0, 0, 1, 0, 0, 0, 3, 0, 3], [1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 3, 2], [1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 3], [1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 4], [1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 3], [1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 4], [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 4], [1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 5], [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 5, 1], [1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 3, 2], [1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 3], [1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 3], [1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 4], [1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 4], [1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 5], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 4, 2], [1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 3], [1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 4], [1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 4], [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 5], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 3], [1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 4], [1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 5], [1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4], [1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5], [2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 3, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 1, 1], [2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 0], [2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2, 1], [2, 0, 0, 0, 0, 0, 0, 0, 1, 4, 0, 2], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 5, 0], [2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 1], [2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2], [2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 3], [2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 5, 0], [2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 3, 1], [2, 0, 0, 0, 0, 0, 0, 1, 0, 3, 1, 2], [2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 4, 1], [2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2], [2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 3], [2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 3], [2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 3], [2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 4], [2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0], [2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 4, 1], [2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 3], [2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 3, 2], [2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 3], [2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 4], [2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 3], [2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 4], [2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 4], [2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 5, 1], [2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 2], [2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 3], [2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 3], [2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 4], [2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 4], [2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 5], [2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 2], [2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 3], [2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 4], [2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 4], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 5], [2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 3], [2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 4], [2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 5], [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4], [2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 5], [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6]}
(12, 9, 1) has 3798 possible DDs: {[0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 7, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 5, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 4, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 5, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 4, 1, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 3, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 3, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 5, 0, 3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 1, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 1, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 5, 2, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 6, 1, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 6, 1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 1, 0, 6, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 7, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 4, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 5, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 6, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2, 3, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2, 4, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2, 4, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 2, 5, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 3, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 3, 1, 3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 3, 2, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 1, 3, 2, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 3, 3, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 3, 3, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 4, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 1, 4, 0, 3, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 4, 1, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 1, 4, 1, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 4, 1, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 4, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 1, 4, 2, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 2, 1, 0], [0, 0, 0, 0, 0, 0, 1, 5, 0, 1, 0, 2, 0], [0, 0, 0, 0, 0, 0, 1, 5, 0, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 1, 5, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 2, 0, 3, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 4, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 5, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 5, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 0, 6, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 1, 1, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 1, 2, 3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 1, 3, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 1, 3, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 1, 4, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 2, 1, 4, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 2, 0, 4, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 1, 3, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 2, 3, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 3, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 2, 3, 0, 1, 3, 0, 0], [0, 0, 0, 0, 0, 0, 2, 3, 0, 2, 1, 1, 0], [0, 0, 0, 0, 0, 0, 2, 3, 0, 3, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 3, 1, 0, 2, 1, 0], [0, 0, 0, 0, 0, 0, 2, 3, 1, 1, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 3, 1, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 2, 3, 2, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 2, 4, 0, 0, 1, 2, 0], [0, 0, 0, 0, 0, 0, 2, 4, 0, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 2, 4, 0, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 2, 4, 1, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 1, 4, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 2, 3, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 3, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 3, 0, 3, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 3, 0, 4, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 3, 0, 4, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 3, 1, 0, 3, 2, 0, 0], [0, 0, 0, 0, 0, 0, 3, 1, 0, 4, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 1, 1, 1, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 1, 1, 2, 1, 1, 0], [0, 0, 0, 0, 0, 0, 3, 1, 1, 3, 0, 0, 1], [0, 0, 0, 0, 0, 0, 3, 1, 2, 0, 2, 1, 0], [0, 0, 0, 0, 0, 0, 3, 1, 2, 1, 0, 2, 0], [0, 0, 0, 0, 0, 0, 3, 1, 2, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 3, 1, 3, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 3, 2, 0, 1, 2, 1, 0], [0, 0, 0, 0, 0, 0, 3, 2, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 0, 3, 2, 0, 2, 1, 0, 1], [0, 0, 0, 0, 0, 0, 3, 2, 1, 0, 1, 2, 0], [0, 0, 0, 0, 0, 0, 3, 2, 1, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 3, 2, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 3, 2, 2, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 3, 3, 0, 1, 0, 0, 2], [0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 3, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 3, 1, 1, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 1], [0, 0, 0, 0, 0, 0, 4, 0, 1, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 1, 1, 2, 1, 0], [0, 0, 0, 0, 0, 0, 4, 0, 1, 2, 0, 2, 0], [0, 0, 0, 0, 0, 0, 4, 0, 1, 2, 1, 0, 1], [0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 1, 2, 0], [0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 4, 0, 2, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 4, 0, 3, 0, 0, 0, 2], [0, 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