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(12, 9, 1) ALL distance distributions for EXTERNAL point
(1, 9, 1) has 0 possible DDs: {}
(2, 9, 1) has 1 possible DDs: {[0, 6, 3]}
(3, 9, 1) has 5 possible DDs: {[0, 0, 9, 0], [0, 1, 7, 1], [0, 2, 5, 2], [0, 3, 3, 3], [0, 4, 1, 4]}
(4, 9, 1) has 15 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]}
(5, 9, 1) has 38 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]}
(6, 9, 1) has 88 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]}
(7, 9, 1) has 182 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]}
(8, 9, 1) has 354 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]}
(9, 9, 1) has 645 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, 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2, 0, 5, 1, 0], [0, 1, 0, 0, 0, 2, 1, 3, 2, 0], [0, 1, 0, 0, 0, 2, 1, 4, 0, 1], [0, 1, 0, 0, 0, 2, 2, 1, 3, 0], [0, 1, 0, 0, 0, 2, 2, 2, 1, 1], [0, 1, 0, 0, 0, 2, 3, 0, 2, 1], [0, 1, 0, 0, 0, 2, 3, 1, 0, 2], [0, 1, 0, 0, 0, 3, 0, 2, 3, 0], [0, 1, 0, 0, 0, 3, 0, 3, 1, 1], [0, 1, 0, 0, 0, 3, 1, 0, 4, 0], [0, 1, 0, 0, 0, 3, 1, 1, 2, 1], [0, 1, 0, 0, 0, 3, 1, 2, 0, 2], [0, 1, 0, 0, 0, 3, 2, 0, 1, 2], [0, 1, 0, 0, 0, 4, 0, 0, 3, 1], [0, 1, 0, 0, 0, 4, 0, 1, 1, 2], [0, 1, 0, 0, 0, 4, 1, 0, 0, 3], [0, 1, 0, 0, 1, 0, 0, 7, 0, 0], [0, 1, 0, 0, 1, 0, 1, 5, 1, 0], [0, 1, 0, 0, 1, 0, 2, 3, 2, 0], [0, 1, 0, 0, 1, 0, 2, 4, 0, 1], [0, 1, 0, 0, 1, 0, 3, 1, 3, 0], [0, 1, 0, 0, 1, 0, 3, 2, 1, 1], [0, 1, 0, 0, 1, 0, 4, 0, 2, 1], [0, 1, 0, 0, 1, 0, 4, 1, 0, 2], [0, 1, 0, 0, 1, 1, 0, 4, 2, 0], [0, 1, 0, 0, 1, 1, 0, 5, 0, 1], [0, 1, 0, 0, 1, 1, 1, 2, 3, 0], [0, 1, 0, 0, 1, 1, 1, 3, 1, 1], [0, 1, 0, 0, 1, 1, 2, 0, 4, 0], [0, 1, 0, 0, 1, 1, 2, 1, 2, 1], [0, 1, 0, 0, 1, 1, 2, 2, 0, 2], [0, 1, 0, 0, 1, 1, 3, 0, 1, 2], [0, 1, 0, 0, 1, 2, 0, 1, 4, 0], [0, 1, 0, 0, 1, 2, 0, 2, 2, 1], [0, 1, 0, 0, 1, 2, 0, 3, 0, 2], [0, 1, 0, 0, 1, 2, 1, 0, 3, 1], [0, 1, 0, 0, 1, 2, 1, 1, 1, 2], [0, 1, 0, 0, 1, 2, 2, 0, 0, 3], [0, 1, 0, 0, 1, 3, 0, 0, 2, 2], [0, 1, 0, 0, 1, 3, 0, 1, 0, 3], [0, 1, 0, 0, 2, 0, 0, 3, 3, 0], [0, 1, 0, 0, 2, 0, 0, 4, 1, 1], [0, 1, 0, 0, 2, 0, 1, 1, 4, 0], [0, 1, 0, 0, 2, 0, 1, 2, 2, 1], [0, 1, 0, 0, 2, 0, 1, 3, 0, 2], [0, 1, 0, 0, 2, 0, 2, 0, 3, 1], [0, 1, 0, 0, 2, 0, 2, 1, 1, 2], [0, 1, 0, 0, 2, 0, 3, 0, 0, 3], [0, 1, 0, 0, 2, 1, 0, 0, 5, 0], [0, 1, 0, 0, 2, 1, 0, 1, 3, 1], [0, 1, 0, 0, 2, 1, 0, 2, 1, 2], [0, 1, 0, 0, 2, 1, 1, 0, 2, 2], [0, 1, 0, 0, 2, 1, 1, 1, 0, 3], [0, 1, 0, 0, 2, 2, 0, 0, 1, 3], [0, 1, 0, 0, 3, 0, 0, 0, 4, 1], [0, 1, 0, 0, 3, 0, 0, 1, 2, 2], [0, 1, 0, 0, 3, 0, 0, 2, 0, 3], [0, 1, 0, 0, 3, 0, 1, 0, 1, 3], [0, 1, 0, 0, 3, 1, 0, 0, 0, 4], [0, 1, 0, 1, 0, 0, 0, 6, 1, 0], [0, 1, 0, 1, 0, 0, 1, 4, 2, 0], [0, 1, 0, 1, 0, 0, 1, 5, 0, 1], [0, 1, 0, 1, 0, 0, 2, 2, 3, 0], [0, 1, 0, 1, 0, 0, 2, 3, 1, 1], [0, 1, 0, 1, 0, 0, 3, 0, 4, 0], [0, 1, 0, 1, 0, 0, 3, 1, 2, 1], [0, 1, 0, 1, 0, 0, 3, 2, 0, 2], [0, 1, 0, 1, 0, 0, 4, 0, 1, 2], [0, 1, 0, 1, 0, 1, 0, 3, 3, 0], [0, 1, 0, 1, 0, 1, 0, 4, 1, 1], [0, 1, 0, 1, 0, 1, 1, 1, 4, 0], [0, 1, 0, 1, 0, 1, 1, 2, 2, 1], [0, 1, 0, 1, 0, 1, 1, 3, 0, 2], [0, 1, 0, 1, 0, 1, 2, 0, 3, 1], [0, 1, 0, 1, 0, 1, 2, 1, 1, 2], [0, 1, 0, 1, 0, 1, 3, 0, 0, 3], [0, 1, 0, 1, 0, 2, 0, 0, 5, 0], [0, 1, 0, 1, 0, 2, 0, 1, 3, 1], [0, 1, 0, 1, 0, 2, 0, 2, 1, 2], [0, 1, 0, 1, 0, 2, 1, 0, 2, 2], [0, 1, 0, 1, 0, 2, 1, 1, 0, 3], [0, 1, 0, 1, 0, 3, 0, 0, 1, 3], [0, 1, 0, 1, 1, 0, 0, 2, 4, 0], [0, 1, 0, 1, 1, 0, 0, 3, 2, 1], [0, 1, 0, 1, 1, 0, 0, 4, 0, 2], [0, 1, 0, 1, 1, 0, 1, 0, 5, 0], [0, 1, 0, 1, 1, 0, 1, 1, 3, 1], [0, 1, 0, 1, 1, 0, 1, 2, 1, 2], [0, 1, 0, 1, 1, 0, 2, 0, 2, 2], [0, 1, 0, 1, 1, 0, 2, 1, 0, 3], [0, 1, 0, 1, 1, 1, 0, 0, 4, 1], [0, 1, 0, 1, 1, 1, 0, 1, 2, 2], [0, 1, 0, 1, 1, 1, 0, 2, 0, 3], [0, 1, 0, 1, 1, 1, 1, 0, 1, 3], [0, 1, 0, 1, 1, 2, 0, 0, 0, 4], [0, 1, 0, 1, 2, 0, 0, 0, 3, 2], [0, 1, 0, 1, 2, 0, 0, 1, 1, 3], [0, 1, 0, 1, 2, 0, 1, 0, 0, 4], [0, 1, 0, 2, 0, 0, 0, 1, 5, 0], [0, 1, 0, 2, 0, 0, 0, 2, 3, 1], [0, 1, 0, 2, 0, 0, 0, 3, 1, 2], [0, 1, 0, 2, 0, 0, 1, 0, 4, 1], [0, 1, 0, 2, 0, 0, 1, 1, 2, 2], [0, 1, 0, 2, 0, 0, 1, 2, 0, 3], [0, 1, 0, 2, 0, 0, 2, 0, 1, 3], [0, 1, 0, 2, 0, 1, 0, 0, 3, 2], [0, 1, 0, 2, 0, 1, 0, 1, 1, 3], [0, 1, 0, 2, 0, 1, 1, 0, 0, 4], [0, 1, 0, 2, 1, 0, 0, 0, 2, 3], [0, 1, 0, 2, 1, 0, 0, 1, 0, 4], [0, 1, 0, 3, 0, 0, 0, 0, 1, 4], [0, 1, 1, 0, 0, 0, 0, 5, 2, 0], [0, 1, 1, 0, 0, 0, 0, 6, 0, 1], [0, 1, 1, 0, 0, 0, 1, 3, 3, 0], [0, 1, 1, 0, 0, 0, 1, 4, 1, 1], [0, 1, 1, 0, 0, 0, 2, 1, 4, 0], [0, 1, 1, 0, 0, 0, 2, 2, 2, 1], [0, 1, 1, 0, 0, 0, 2, 3, 0, 2], [0, 1, 1, 0, 0, 0, 3, 0, 3, 1], [0, 1, 1, 0, 0, 0, 3, 1, 1, 2], [0, 1, 1, 0, 0, 0, 4, 0, 0, 3], [0, 1, 1, 0, 0, 1, 0, 2, 4, 0], [0, 1, 1, 0, 0, 1, 0, 3, 2, 1], [0, 1, 1, 0, 0, 1, 0, 4, 0, 2], [0, 1, 1, 0, 0, 1, 1, 0, 5, 0], [0, 1, 1, 0, 0, 1, 1, 1, 3, 1], [0, 1, 1, 0, 0, 1, 1, 2, 1, 2], [0, 1, 1, 0, 0, 1, 2, 0, 2, 2], [0, 1, 1, 0, 0, 1, 2, 1, 0, 3], [0, 1, 1, 0, 0, 2, 0, 0, 4, 1], [0, 1, 1, 0, 0, 2, 0, 1, 2, 2], [0, 1, 1, 0, 0, 2, 0, 2, 0, 3], [0, 1, 1, 0, 0, 2, 1, 0, 1, 3], [0, 1, 1, 0, 0, 3, 0, 0, 0, 4], [0, 1, 1, 0, 1, 0, 0, 1, 5, 0], [0, 1, 1, 0, 1, 0, 0, 2, 3, 1], [0, 1, 1, 0, 1, 0, 0, 3, 1, 2], [0, 1, 1, 0, 1, 0, 1, 0, 4, 1], [0, 1, 1, 0, 1, 0, 1, 1, 2, 2], [0, 1, 1, 0, 1, 0, 1, 2, 0, 3], [0, 1, 1, 0, 1, 0, 2, 0, 1, 3], [0, 1, 1, 0, 1, 1, 0, 0, 3, 2], [0, 1, 1, 0, 1, 1, 0, 1, 1, 3], [0, 1, 1, 0, 1, 1, 1, 0, 0, 4], [0, 1, 1, 0, 2, 0, 0, 0, 2, 3], [0, 1, 1, 0, 2, 0, 0, 1, 0, 4], [0, 1, 1, 1, 0, 0, 0, 0, 6, 0], [0, 1, 1, 1, 0, 0, 0, 1, 4, 1], [0, 1, 1, 1, 0, 0, 0, 2, 2, 2], [0, 1, 1, 1, 0, 0, 0, 3, 0, 3], [0, 1, 1, 1, 0, 0, 1, 0, 3, 2], [0, 1, 1, 1, 0, 0, 1, 1, 1, 3], [0, 1, 1, 1, 0, 0, 2, 0, 0, 4], [0, 1, 1, 1, 0, 1, 0, 0, 2, 3], [0, 1, 1, 1, 0, 1, 0, 1, 0, 4], [0, 1, 1, 1, 1, 0, 0, 0, 1, 4], [0, 1, 1, 2, 0, 0, 0, 0, 0, 5], [0, 1, 2, 0, 0, 0, 0, 0, 5, 1], [0, 1, 2, 0, 0, 0, 0, 1, 3, 2], [0, 1, 2, 0, 0, 0, 0, 2, 1, 3], [0, 1, 2, 0, 0, 0, 1, 0, 2, 3], [0, 1, 2, 0, 0, 0, 1, 1, 0, 4], [0, 1, 2, 0, 0, 1, 0, 0, 1, 4], [0, 1, 2, 0, 1, 0, 0, 0, 0, 5], [0, 2, 0, 0, 0, 0, 0, 4, 3, 0], [0, 2, 0, 0, 0, 0, 0, 5, 1, 1], [0, 2, 0, 0, 0, 0, 1, 2, 4, 0], [0, 2, 0, 0, 0, 0, 1, 3, 2, 1], [0, 2, 0, 0, 0, 0, 1, 4, 0, 2], [0, 2, 0, 0, 0, 0, 2, 0, 5, 0], [0, 2, 0, 0, 0, 0, 2, 1, 3, 1], [0, 2, 0, 0, 0, 0, 2, 2, 1, 2], [0, 2, 0, 0, 0, 0, 3, 0, 2, 2], [0, 2, 0, 0, 0, 0, 3, 1, 0, 3], [0, 2, 0, 0, 0, 1, 0, 1, 5, 0], [0, 2, 0, 0, 0, 1, 0, 2, 3, 1], [0, 2, 0, 0, 0, 1, 0, 3, 1, 2], [0, 2, 0, 0, 0, 1, 1, 0, 4, 1], [0, 2, 0, 0, 0, 1, 1, 1, 2, 2], [0, 2, 0, 0, 0, 1, 1, 2, 0, 3], [0, 2, 0, 0, 0, 1, 2, 0, 1, 3], [0, 2, 0, 0, 0, 2, 0, 0, 3, 2], [0, 2, 0, 0, 0, 2, 0, 1, 1, 3], [0, 2, 0, 0, 0, 2, 1, 0, 0, 4], [0, 2, 0, 0, 1, 0, 0, 0, 6, 0], [0, 2, 0, 0, 1, 0, 0, 1, 4, 1], [0, 2, 0, 0, 1, 0, 0, 2, 2, 2], [0, 2, 0, 0, 1, 0, 0, 3, 0, 3], [0, 2, 0, 0, 1, 0, 1, 0, 3, 2], [0, 2, 0, 0, 1, 0, 1, 1, 1, 3], [0, 2, 0, 0, 1, 0, 2, 0, 0, 4], [0, 2, 0, 0, 1, 1, 0, 0, 2, 3], [0, 2, 0, 0, 1, 1, 0, 1, 0, 4], [0, 2, 0, 0, 2, 0, 0, 0, 1, 4], [0, 2, 0, 1, 0, 0, 0, 0, 5, 1], [0, 2, 0, 1, 0, 0, 0, 1, 3, 2], [0, 2, 0, 1, 0, 0, 0, 2, 1, 3], [0, 2, 0, 1, 0, 0, 1, 0, 2, 3], [0, 2, 0, 1, 0, 0, 1, 1, 0, 4], [0, 2, 0, 1, 0, 1, 0, 0, 1, 4], [0, 2, 0, 1, 1, 0, 0, 0, 0, 5], [0, 2, 1, 0, 0, 0, 0, 0, 4, 2], [0, 2, 1, 0, 0, 0, 0, 1, 2, 3], [0, 2, 1, 0, 0, 0, 0, 2, 0, 4], [0, 2, 1, 0, 0, 0, 1, 0, 1, 4], [0, 2, 1, 0, 0, 1, 0, 0, 0, 5], [0, 3, 0, 0, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 0, 1, 1, 4], [0, 3, 0, 0, 0, 0, 1, 0, 0, 5]}
(10, 9, 1) has 1128 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, 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1], [0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2], [0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 3], [0, 1, 0, 1, 0, 0, 3, 0, 0, 2, 2], [0, 1, 0, 1, 0, 0, 3, 0, 1, 0, 3], [0, 1, 0, 1, 0, 1, 0, 0, 3, 3, 0], [0, 1, 0, 1, 0, 1, 0, 0, 4, 1, 1], [0, 1, 0, 1, 0, 1, 0, 1, 1, 4, 0], [0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1], [0, 1, 0, 1, 0, 1, 0, 1, 3, 0, 2], [0, 1, 0, 1, 0, 1, 0, 2, 0, 3, 1], [0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2], [0, 1, 0, 1, 0, 1, 0, 3, 0, 0, 3], [0, 1, 0, 1, 0, 1, 1, 0, 0, 5, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 3, 1], [0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2], [0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2], [0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 3], [0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 3], [0, 1, 0, 1, 0, 2, 0, 0, 0, 4, 1], [0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2], [0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 3], [0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 3], [0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 4], [0, 1, 0, 1, 1, 0, 0, 0, 2, 4, 0], [0, 1, 0, 1, 1, 0, 0, 0, 3, 2, 1], [0, 1, 0, 1, 1, 0, 0, 0, 4, 0, 2], [0, 1, 0, 1, 1, 0, 0, 1, 0, 5, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 3, 1], [0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2], [0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2], [0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 3], [0, 1, 0, 1, 1, 0, 1, 0, 0, 4, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2], [0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 3], [0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 3], [0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 4], [0, 1, 0, 1, 1, 1, 0, 0, 0, 3, 2], [0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 3], [0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 4], [0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 3], [0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 4], [0, 1, 0, 2, 0, 0, 0, 0, 1, 5, 0], [0, 1, 0, 2, 0, 0, 0, 0, 2, 3, 1], [0, 1, 0, 2, 0, 0, 0, 0, 3, 1, 2], [0, 1, 0, 2, 0, 0, 0, 1, 0, 4, 1], [0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2], [0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 3], [0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 3], [0, 1, 0, 2, 0, 0, 1, 0, 0, 3, 2], [0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 3], [0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 4], [0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 3], [0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 4], [0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 4], [0, 1, 0, 3, 0, 0, 0, 0, 0, 0, 5], [0, 1, 1, 0, 0, 0, 0, 0, 6, 1, 0], [0, 1, 1, 0, 0, 0, 0, 1, 4, 2, 0], [0, 1, 1, 0, 0, 0, 0, 1, 5, 0, 1], [0, 1, 1, 0, 0, 0, 0, 2, 2, 3, 0], [0, 1, 1, 0, 0, 0, 0, 2, 3, 1, 1], [0, 1, 1, 0, 0, 0, 0, 3, 0, 4, 0], [0, 1, 1, 0, 0, 0, 0, 3, 1, 2, 1], [0, 1, 1, 0, 0, 0, 0, 3, 2, 0, 2], [0, 1, 1, 0, 0, 0, 0, 4, 0, 1, 2], [0, 1, 1, 0, 0, 0, 1, 0, 3, 3, 0], [0, 1, 1, 0, 0, 0, 1, 0, 4, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 4, 0], [0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1], [0, 1, 1, 0, 0, 0, 1, 1, 3, 0, 2], [0, 1, 1, 0, 0, 0, 1, 2, 0, 3, 1], [0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2], [0, 1, 1, 0, 0, 0, 1, 3, 0, 0, 3], [0, 1, 1, 0, 0, 0, 2, 0, 0, 5, 0], [0, 1, 1, 0, 0, 0, 2, 0, 1, 3, 1], [0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2], [0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2], [0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 3], [0, 1, 1, 0, 0, 0, 3, 0, 0, 1, 3], [0, 1, 1, 0, 0, 1, 0, 0, 2, 4, 0], [0, 1, 1, 0, 0, 1, 0, 0, 3, 2, 1], [0, 1, 1, 0, 0, 1, 0, 0, 4, 0, 2], [0, 1, 1, 0, 0, 1, 0, 1, 0, 5, 0], [0, 1, 1, 0, 0, 1, 0, 1, 1, 3, 1], [0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2], [0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2], [0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 3], [0, 1, 1, 0, 0, 1, 1, 0, 0, 4, 1], [0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2], [0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 3], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 3], [0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 4], [0, 1, 1, 0, 0, 2, 0, 0, 0, 3, 2], [0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 3], [0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 4], [0, 1, 1, 0, 1, 0, 0, 0, 1, 5, 0], [0, 1, 1, 0, 1, 0, 0, 0, 2, 3, 1], [0, 1, 1, 0, 1, 0, 0, 0, 3, 1, 2], [0, 1, 1, 0, 1, 0, 0, 1, 0, 4, 1], [0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2], [0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 3], [0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 3], [0, 1, 1, 0, 1, 0, 1, 0, 0, 3, 2], [0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 3], [0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 4], [0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 3], [0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 4], [0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 4], [0, 1, 1, 1, 0, 0, 0, 0, 0, 6, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 4, 1], [0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2], [0, 1, 1, 1, 0, 0, 0, 0, 3, 0, 3], [0, 1, 1, 1, 0, 0, 0, 1, 0, 3, 2], [0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 3], [0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 4], [0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 3], [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 4], [0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 4], [0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 5], [0, 1, 2, 0, 0, 0, 0, 0, 0, 5, 1], [0, 1, 2, 0, 0, 0, 0, 0, 1, 3, 2], [0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 3], [0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 3], [0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 4], [0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 4], [0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 5], [0, 2, 0, 0, 0, 0, 0, 0, 5, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 1], [0, 2, 0, 0, 0, 0, 0, 1, 3, 3, 0], [0, 2, 0, 0, 0, 0, 0, 1, 4, 1, 1], [0, 2, 0, 0, 0, 0, 0, 2, 1, 4, 0], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1], [0, 2, 0, 0, 0, 0, 0, 2, 3, 0, 2], [0, 2, 0, 0, 0, 0, 0, 3, 0, 3, 1], [0, 2, 0, 0, 0, 0, 0, 3, 1, 1, 2], [0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 3], [0, 2, 0, 0, 0, 0, 1, 0, 2, 4, 0], [0, 2, 0, 0, 0, 0, 1, 0, 3, 2, 1], [0, 2, 0, 0, 0, 0, 1, 0, 4, 0, 2], [0, 2, 0, 0, 0, 0, 1, 1, 0, 5, 0], [0, 2, 0, 0, 0, 0, 1, 1, 1, 3, 1], [0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2], [0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2], [0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 3], [0, 2, 0, 0, 0, 0, 2, 0, 0, 4, 1], [0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2], [0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 3], [0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 3], [0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 4], [0, 2, 0, 0, 0, 1, 0, 0, 1, 5, 0], [0, 2, 0, 0, 0, 1, 0, 0, 2, 3, 1], [0, 2, 0, 0, 0, 1, 0, 0, 3, 1, 2], [0, 2, 0, 0, 0, 1, 0, 1, 0, 4, 1], [0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2], [0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 3], [0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 3], [0, 2, 0, 0, 0, 1, 1, 0, 0, 3, 2], [0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 3], [0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 4], [0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 3], [0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 4], [0, 2, 0, 0, 1, 0, 0, 0, 0, 6, 0], [0, 2, 0, 0, 1, 0, 0, 0, 1, 4, 1], [0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 1, 0, 0, 0, 3, 0, 3], [0, 2, 0, 0, 1, 0, 0, 1, 0, 3, 2], [0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 3], [0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 4], [0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 3], [0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 4], [0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 4], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 5], [0, 2, 0, 1, 0, 0, 0, 0, 0, 5, 1], [0, 2, 0, 1, 0, 0, 0, 0, 1, 3, 2], [0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 3], [0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 3], [0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 4], [0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 4], [0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 5], [0, 2, 1, 0, 0, 0, 0, 0, 0, 4, 2], [0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 3], [0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 4], [0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 4], [0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 5], [0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 0, 0, 1, 1, 4], [0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 5]}
(11, 9, 1) has 1887 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, 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[0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 3], [0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 3], [0, 1, 0, 1, 0, 0, 3, 0, 0, 0, 0, 4], [0, 1, 0, 1, 0, 1, 0, 0, 0, 3, 3, 0], [0, 1, 0, 1, 0, 1, 0, 0, 0, 4, 1, 1], [0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 4, 0], [0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1], [0, 1, 0, 1, 0, 1, 0, 0, 1, 3, 0, 2], [0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 3, 1], [0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2], [0, 1, 0, 1, 0, 1, 0, 0, 3, 0, 0, 3], [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 5, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 3, 1], [0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2], [0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2], [0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 3], [0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 3], [0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 4, 1], [0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2], [0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 3], [0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 3], [0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 4], [0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 3, 2], [0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 3], [0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 4], [0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 4, 0], [0, 1, 0, 1, 1, 0, 0, 0, 0, 3, 2, 1], [0, 1, 0, 1, 1, 0, 0, 0, 0, 4, 0, 2], [0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 5, 0], [0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 3, 1], [0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2], [0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2], [0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 3], [0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 4, 1], [0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2], [0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 3], [0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 3], [0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 4], [0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 3, 2], [0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 3], [0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 4], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 3], [0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 4], [0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 4], [0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 5, 0], [0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 3, 1], [0, 1, 0, 2, 0, 0, 0, 0, 0, 3, 1, 2], [0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 4, 1], [0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2], [0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 3], [0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 3], [0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 3, 2], [0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 3], [0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 4], [0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 3], [0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 4], [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 4], [0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 5], [0, 1, 1, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 1, 5, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0, 2, 3, 2, 0], [0, 1, 1, 0, 0, 0, 0, 0, 2, 4, 0, 1], [0, 1, 1, 0, 0, 0, 0, 0, 3, 1, 3, 0], [0, 1, 1, 0, 0, 0, 0, 0, 3, 2, 1, 1], [0, 1, 1, 0, 0, 0, 0, 0, 4, 0, 2, 1], [0, 1, 1, 0, 0, 0, 0, 0, 4, 1, 0, 2], [0, 1, 1, 0, 0, 0, 0, 1, 0, 4, 2, 0], [0, 1, 1, 0, 0, 0, 0, 1, 0, 5, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 3, 0], [0, 1, 1, 0, 0, 0, 0, 1, 1, 3, 1, 1], [0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 4, 0], [0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1], [0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2], [0, 1, 1, 0, 0, 0, 0, 1, 3, 0, 1, 2], [0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 4, 0], [0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1], [0, 1, 1, 0, 0, 0, 0, 2, 0, 3, 0, 2], [0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 3, 1], [0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2], [0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 3], [0, 1, 1, 0, 0, 0, 0, 3, 0, 0, 2, 2], [0, 1, 1, 0, 0, 0, 0, 3, 0, 1, 0, 3], [0, 1, 1, 0, 0, 0, 1, 0, 0, 3, 3, 0], [0, 1, 1, 0, 0, 0, 1, 0, 0, 4, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 4, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 3, 0, 2], [0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 3, 1], [0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2], [0, 1, 1, 0, 0, 0, 1, 0, 3, 0, 0, 3], [0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 5, 0], [0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 3, 1], [0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2], [0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 3], [0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 3], [0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 4, 1], [0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2], [0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 3], [0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 3], [0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 4], [0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 4, 0], [0, 1, 1, 0, 0, 1, 0, 0, 0, 3, 2, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 4, 0, 2], [0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 5, 0], [0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 3, 1], [0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2], [0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2], [0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 3], [0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 4, 1], [0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2], [0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 3], [0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 3], [0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 4], [0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 3, 2], [0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 3], [0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 4], [0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 3], [0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 4], [0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 5, 0], [0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 3, 1], [0, 1, 1, 0, 1, 0, 0, 0, 0, 3, 1, 2], [0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 4, 1], [0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2], [0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 3], [0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 3], [0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 3, 2], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 3], [0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 4], [0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 3], [0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 4], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 4], [0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 5], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 6, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 4, 1], [0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2], [0, 1, 1, 1, 0, 0, 0, 0, 0, 3, 0, 3], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 3, 2], [0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 3], [0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 4], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 3], [0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 4], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 4], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 5], [0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 5, 1], [0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 3, 2], [0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 3], [0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 3], [0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 4], [0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 4], [0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 5], [0, 2, 0, 0, 0, 0, 0, 0, 0, 6, 1, 0], [0, 2, 0, 0, 0, 0, 0, 0, 1, 4, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0, 1, 5, 0, 1], [0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 3, 0], [0, 2, 0, 0, 0, 0, 0, 0, 2, 3, 1, 1], [0, 2, 0, 0, 0, 0, 0, 0, 3, 0, 4, 0], [0, 2, 0, 0, 0, 0, 0, 0, 3, 1, 2, 1], [0, 2, 0, 0, 0, 0, 0, 0, 3, 2, 0, 2], [0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 1, 2], [0, 2, 0, 0, 0, 0, 0, 1, 0, 3, 3, 0], [0, 2, 0, 0, 0, 0, 0, 1, 0, 4, 1, 1], [0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 4, 0], [0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1], [0, 2, 0, 0, 0, 0, 0, 1, 1, 3, 0, 2], [0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 3, 1], [0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2], [0, 2, 0, 0, 0, 0, 0, 1, 3, 0, 0, 3], [0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 5, 0], [0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 3, 1], [0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2], [0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 3], [0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 1, 3], [0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 4, 0], [0, 2, 0, 0, 0, 0, 1, 0, 0, 3, 2, 1], [0, 2, 0, 0, 0, 0, 1, 0, 0, 4, 0, 2], [0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 5, 0], [0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 3, 1], [0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2], [0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2], [0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 3], [0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 4, 1], [0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2], [0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 3], [0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 3], [0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 4], [0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 3, 2], [0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 3], [0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 4], [0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 5, 0], [0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 3, 1], [0, 2, 0, 0, 0, 1, 0, 0, 0, 3, 1, 2], [0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 4, 1], [0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2], [0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 3], [0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 3], [0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 3, 2], [0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 3], [0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 4], [0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 3], [0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 4], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 4], [0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 6, 0], [0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 4, 1], [0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 1, 0, 0, 0, 0, 3, 0, 3], [0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 3, 2], [0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 3], [0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 4], [0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 3], [0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 4], [0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 4], [0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 5], [0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 5, 1], [0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 3, 2], [0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 3], [0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 3], [0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 4], [0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 4], [0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 5], [0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 4, 2], [0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3], [0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 4], [0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 4], [0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4], [0, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 5]}
(12, 9, 1) has 3060 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, 0, 0, 0, 0, 0, 4, 1, 0, 0, 3, 1, 0], [0, 0, 0, 0, 0, 0, 4, 1, 0, 1, 1, 2, 0], [0, 0, 0, 0, 0, 0, 4, 1, 0, 1, 2, 0, 1], [0, 0, 0, 0, 0, 0, 4, 1, 0, 2, 0, 1, 1], [0, 0, 0, 0, 0, 0, 4, 1, 1, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 4, 1, 1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 4, 1, 1, 1, 0, 0, 2], [0, 0, 0, 0, 0, 0, 4, 2, 0, 0, 0, 2, 1], [0, 0, 0, 0, 0, 0, 4, 2, 0, 0, 1, 0, 2], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 1], [0, 0, 0, 0, 0, 0, 5, 0, 0, 1, 0, 3, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 5, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 5, 0, 1, 0, 0, 2, 1], [0, 0, 0, 0, 0, 0, 5, 0, 1, 0, 1, 0, 2], [0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 1, 0, 0, 5, 3, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 6, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 7, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 1, 3, 4, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 4, 2, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 5, 0, 2, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 5, 1, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 1, 6, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 0, 2, 1, 5, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 2, 2, 3, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 2, 3, 1, 2, 0, 0], [0, 0, 0, 0, 0, 1, 0, 2, 3, 2, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 2, 4, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 0, 2, 4, 1, 0, 0, 1], [0, 0, 0, 0, 0, 1, 0, 3, 0, 4, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 3, 1, 2, 2, 0, 0], [0, 0, 0, 0, 0, 1, 0, 3, 1, 3, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 3, 2, 0, 3, 0, 0], [0, 0, 0, 0, 0, 1, 0, 3, 2, 1, 1, 1, 0], [0, 0, 0, 0, 0, 1, 0, 3, 2, 2, 0, 0, 1], [0, 0, 0, 0, 0, 1, 0, 3, 3, 0, 0, 2, 0], [0, 0, 0, 0, 0, 1, 0, 3, 3, 0, 1, 0, 1], [0, 0, 0, 0, 0, 1, 0, 4, 0, 1, 3, 0, 0], [0, 0, 0, 0, 0, 1, 0, 4, 0, 2, 1, 1, 0], [0, 0, 0, 0, 0, 1, 0, 4, 0, 3, 0, 0, 1], [0, 0, 0, 0, 0, 1, 0, 4, 1, 0, 2, 1, 0], [0, 0, 0, 0, 0, 1, 0, 4, 1, 1, 0, 2, 0], [0, 0, 0, 0, 0, 1, 0, 4, 1, 1, 1, 0, 1], [0, 0, 0, 0, 0, 1, 0, 4, 2, 0, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 5, 0, 0, 1, 2, 0], [0, 0, 0, 0, 0, 1, 0, 5, 0, 0, 2, 0, 1], [0, 0, 0, 0, 0, 1, 0, 5, 0, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 5, 1, 0, 0, 0, 2], [0, 0, 0, 0, 0, 1, 1, 0, 2, 5, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 3, 3, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 4, 1, 2, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 4, 2, 0, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0, 5, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0, 5, 1, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 0, 1, 0], [0, 0, 0, 0, 0, 1, 1, 1, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 1, 3, 2, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 4, 0, 0, 2, 0], [0, 0, 0, 0, 0, 1, 1, 1, 4, 0, 1, 0, 1], [0, 0, 0, 0, 0, 1, 1, 2, 0, 3, 2, 0, 0], [0, 0, 0, 0, 0, 1, 1, 2, 0, 4, 0, 1, 0], [0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 3, 0, 0], [0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0], [0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0], [0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1], [0, 0, 0, 0, 0, 1, 1, 2, 3, 0, 0, 1, 1], [0, 0, 0, 0, 0, 1, 1, 3, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 1, 1, 3, 0, 1, 2, 1, 0], [0, 0, 0, 0, 0, 1, 1, 3, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 1, 1, 3, 0, 2, 1, 0, 1], [0, 0, 0, 0, 0, 1, 1, 3, 1, 0, 1, 2, 0], [0, 0, 0, 0, 0, 1, 1, 3, 1, 0, 2, 0, 1], [0, 0, 0, 0, 0, 1, 1, 3, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 1, 3, 2, 0, 0, 0, 2], [0, 0, 0, 0, 0, 1, 1, 4, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 1, 1, 4, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 1, 1, 4, 0, 1, 0, 0, 2], [0, 0, 0, 0, 0, 1, 2, 0, 0, 5, 1, 0, 0], [0, 0, 0, 0, 0, 1, 2, 0, 1, 3, 2, 0, 0], [0, 0, 0, 0, 0, 1, 2, 0, 1, 4, 0, 1, 0], [0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 3, 0, 0], [0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0], [0, 0, 0, 0, 0, 1, 2, 0, 2, 3, 0, 0, 1], [0, 0, 0, 0, 0, 1, 2, 0, 3, 0, 2, 1, 0], [0, 0, 0, 0, 0, 1, 2, 0, 3, 1, 0, 2, 0], [0, 0, 0, 0, 0, 1, 2, 0, 3, 1, 1, 0, 1], [0, 0, 0, 0, 0, 1, 2, 0, 4, 0, 0, 1, 1], [0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 3, 0, 0], [0, 0, 0, 0, 0, 1, 2, 1, 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