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(18, 15, 1) ALL distance distributions for INTERNAL point
(1, 15, 1) has 1 possible DDs: {[5, 10]}
(2, 15, 1) has 5 possible DDs: {[1, 8, 6], [2, 6, 7], [3, 4, 8], [4, 2, 9], [5, 0, 10]}
(3, 15, 1) has 19 possible DDs: {[1, 0, 12, 2], [1, 1, 10, 3], [1, 2, 8, 4], [1, 3, 6, 5], [1, 4, 4, 6], [1, 5, 2, 7], [1, 6, 0, 8], [2, 0, 9, 4], [2, 1, 7, 5], [2, 2, 5, 6], [2, 3, 3, 7], [2, 4, 1, 8], [3, 0, 6, 6], [3, 1, 4, 7], [3, 2, 2, 8], [3, 3, 0, 9], [4, 0, 3, 8], [4, 1, 1, 9], [5, 0, 0, 10]}
(4, 15, 1) has 62 possible DDs: {[1, 0, 2, 12, 0], [1, 0, 3, 10, 1], [1, 0, 4, 8, 2], [1, 0, 5, 6, 3], [1, 0, 6, 4, 4], [1, 0, 7, 2, 5], [1, 0, 8, 0, 6], [1, 1, 0, 13, 0], [1, 1, 1, 11, 1], [1, 1, 2, 9, 2], [1, 1, 3, 7, 3], [1, 1, 4, 5, 4], [1, 1, 5, 3, 5], [1, 1, 6, 1, 6], [1, 2, 0, 10, 2], [1, 2, 1, 8, 3], [1, 2, 2, 6, 4], [1, 2, 3, 4, 5], [1, 2, 4, 2, 6], [1, 2, 5, 0, 7], [1, 3, 0, 7, 4], [1, 3, 1, 5, 5], [1, 3, 2, 3, 6], [1, 3, 3, 1, 7], [1, 4, 0, 4, 6], [1, 4, 1, 2, 7], [1, 4, 2, 0, 8], [1, 5, 0, 1, 8], [2, 0, 0, 12, 1], [2, 0, 1, 10, 2], [2, 0, 2, 8, 3], [2, 0, 3, 6, 4], [2, 0, 4, 4, 5], [2, 0, 5, 2, 6], [2, 0, 6, 0, 7], [2, 1, 0, 9, 3], [2, 1, 1, 7, 4], [2, 1, 2, 5, 5], [2, 1, 3, 3, 6], [2, 1, 4, 1, 7], [2, 2, 0, 6, 5], [2, 2, 1, 4, 6], [2, 2, 2, 2, 7], [2, 2, 3, 0, 8], [2, 3, 0, 3, 7], [2, 3, 1, 1, 8], [2, 4, 0, 0, 9], [3, 0, 0, 8, 4], [3, 0, 1, 6, 5], [3, 0, 2, 4, 6], [3, 0, 3, 2, 7], [3, 0, 4, 0, 8], [3, 1, 0, 5, 6], [3, 1, 1, 3, 7], [3, 1, 2, 1, 8], [3, 2, 0, 2, 8], [3, 2, 1, 0, 9], [4, 0, 0, 4, 7], [4, 0, 1, 2, 8], [4, 0, 2, 0, 9], [4, 1, 0, 1, 9], [5, 0, 0, 0, 10]}
(5, 15, 1) has 174 possible DDs: {[1, 0, 0, 6, 8, 0], [1, 0, 0, 7, 6, 1], [1, 0, 0, 8, 4, 2], [1, 0, 0, 9, 2, 3], [1, 0, 0, 10, 0, 4], [1, 0, 1, 4, 9, 0], [1, 0, 1, 5, 7, 1], [1, 0, 1, 6, 5, 2], [1, 0, 1, 7, 3, 3], [1, 0, 1, 8, 1, 4], [1, 0, 2, 2, 10, 0], [1, 0, 2, 3, 8, 1], [1, 0, 2, 4, 6, 2], [1, 0, 2, 5, 4, 3], [1, 0, 2, 6, 2, 4], [1, 0, 2, 7, 0, 5], [1, 0, 3, 0, 11, 0], [1, 0, 3, 1, 9, 1], [1, 0, 3, 2, 7, 2], [1, 0, 3, 3, 5, 3], [1, 0, 3, 4, 3, 4], [1, 0, 3, 5, 1, 5], [1, 0, 4, 0, 8, 2], [1, 0, 4, 1, 6, 3], [1, 0, 4, 2, 4, 4], [1, 0, 4, 3, 2, 5], [1, 0, 4, 4, 0, 6], [1, 0, 5, 0, 5, 4], [1, 0, 5, 1, 3, 5], [1, 0, 5, 2, 1, 6], [1, 0, 6, 0, 2, 6], [1, 0, 6, 1, 0, 7], [1, 1, 0, 3, 10, 0], [1, 1, 0, 4, 8, 1], [1, 1, 0, 5, 6, 2], [1, 1, 0, 6, 4, 3], [1, 1, 0, 7, 2, 4], [1, 1, 0, 8, 0, 5], [1, 1, 1, 1, 11, 0], [1, 1, 1, 2, 9, 1], [1, 1, 1, 3, 7, 2], [1, 1, 1, 4, 5, 3], [1, 1, 1, 5, 3, 4], [1, 1, 1, 6, 1, 5], [1, 1, 2, 0, 10, 1], [1, 1, 2, 1, 8, 2], [1, 1, 2, 2, 6, 3], [1, 1, 2, 3, 4, 4], [1, 1, 2, 4, 2, 5], [1, 1, 2, 5, 0, 6], [1, 1, 3, 0, 7, 3], [1, 1, 3, 1, 5, 4], [1, 1, 3, 2, 3, 5], [1, 1, 3, 3, 1, 6], [1, 1, 4, 0, 4, 5], [1, 1, 4, 1, 2, 6], [1, 1, 4, 2, 0, 7], [1, 1, 5, 0, 1, 7], [1, 2, 0, 0, 12, 0], [1, 2, 0, 1, 10, 1], [1, 2, 0, 2, 8, 2], [1, 2, 0, 3, 6, 3], [1, 2, 0, 4, 4, 4], [1, 2, 0, 5, 2, 5], [1, 2, 0, 6, 0, 6], [1, 2, 1, 0, 9, 2], [1, 2, 1, 1, 7, 3], [1, 2, 1, 2, 5, 4], [1, 2, 1, 3, 3, 5], [1, 2, 1, 4, 1, 6], [1, 2, 2, 0, 6, 4], [1, 2, 2, 1, 4, 5], [1, 2, 2, 2, 2, 6], [1, 2, 2, 3, 0, 7], [1, 2, 3, 0, 3, 6], [1, 2, 3, 1, 1, 7], [1, 2, 4, 0, 0, 8], [1, 3, 0, 0, 8, 3], [1, 3, 0, 1, 6, 4], [1, 3, 0, 2, 4, 5], [1, 3, 0, 3, 2, 6], [1, 3, 0, 4, 0, 7], [1, 3, 1, 0, 5, 5], [1, 3, 1, 1, 3, 6], [1, 3, 1, 2, 1, 7], [1, 3, 2, 0, 2, 7], [1, 3, 2, 1, 0, 8], [1, 4, 0, 0, 4, 6], [1, 4, 0, 1, 2, 7], [1, 4, 0, 2, 0, 8], [1, 4, 1, 0, 1, 8], [1, 5, 0, 0, 0, 9], [2, 0, 0, 2, 11, 0], [2, 0, 0, 3, 9, 1], [2, 0, 0, 4, 7, 2], [2, 0, 0, 5, 5, 3], [2, 0, 0, 6, 3, 4], [2, 0, 0, 7, 1, 5], [2, 0, 1, 0, 12, 0], [2, 0, 1, 1, 10, 1], [2, 0, 1, 2, 8, 2], [2, 0, 1, 3, 6, 3], [2, 0, 1, 4, 4, 4], [2, 0, 1, 5, 2, 5], [2, 0, 1, 6, 0, 6], [2, 0, 2, 0, 9, 2], [2, 0, 2, 1, 7, 3], [2, 0, 2, 2, 5, 4], [2, 0, 2, 3, 3, 5], [2, 0, 2, 4, 1, 6], [2, 0, 3, 0, 6, 4], [2, 0, 3, 1, 4, 5], [2, 0, 3, 2, 2, 6], [2, 0, 3, 3, 0, 7], [2, 0, 4, 0, 3, 6], [2, 0, 4, 1, 1, 7], [2, 0, 5, 0, 0, 8], [2, 1, 0, 0, 11, 1], [2, 1, 0, 1, 9, 2], [2, 1, 0, 2, 7, 3], [2, 1, 0, 3, 5, 4], [2, 1, 0, 4, 3, 5], [2, 1, 0, 5, 1, 6], [2, 1, 1, 0, 8, 3], [2, 1, 1, 1, 6, 4], [2, 1, 1, 2, 4, 5], [2, 1, 1, 3, 2, 6], [2, 1, 1, 4, 0, 7], [2, 1, 2, 0, 5, 5], [2, 1, 2, 1, 3, 6], [2, 1, 2, 2, 1, 7], [2, 1, 3, 0, 2, 7], [2, 1, 3, 1, 0, 8], [2, 2, 0, 0, 7, 4], [2, 2, 0, 1, 5, 5], [2, 2, 0, 2, 3, 6], [2, 2, 0, 3, 1, 7], [2, 2, 1, 0, 4, 6], [2, 2, 1, 1, 2, 7], [2, 2, 1, 2, 0, 8], [2, 2, 2, 0, 1, 8], [2, 3, 0, 0, 3, 7], [2, 3, 0, 1, 1, 8], [2, 3, 1, 0, 0, 9], [3, 0, 0, 0, 10, 2], [3, 0, 0, 1, 8, 3], [3, 0, 0, 2, 6, 4], [3, 0, 0, 3, 4, 5], [3, 0, 0, 4, 2, 6], [3, 0, 0, 5, 0, 7], [3, 0, 1, 0, 7, 4], [3, 0, 1, 1, 5, 5], [3, 0, 1, 2, 3, 6], [3, 0, 1, 3, 1, 7], [3, 0, 2, 0, 4, 6], [3, 0, 2, 1, 2, 7], [3, 0, 2, 2, 0, 8], [3, 0, 3, 0, 1, 8], [3, 1, 0, 0, 6, 5], [3, 1, 0, 1, 4, 6], [3, 1, 0, 2, 2, 7], [3, 1, 0, 3, 0, 8], [3, 1, 1, 0, 3, 7], [3, 1, 1, 1, 1, 8], [3, 1, 2, 0, 0, 9], [3, 2, 0, 0, 2, 8], [3, 2, 0, 1, 0, 9], [4, 0, 0, 0, 5, 6], [4, 0, 0, 1, 3, 7], [4, 0, 0, 2, 1, 8], [4, 0, 1, 0, 2, 8], [4, 0, 1, 1, 0, 9], [4, 1, 0, 0, 1, 9], [5, 0, 0, 0, 0, 10]}
(6, 15, 1) has 449 possible DDs: {[1, 0, 0, 0, 10, 4, 0], [1, 0, 0, 0, 11, 2, 1], [1, 0, 0, 0, 12, 0, 2], [1, 0, 0, 1, 8, 5, 0], [1, 0, 0, 1, 9, 3, 1], [1, 0, 0, 1, 10, 1, 2], [1, 0, 0, 2, 6, 6, 0], [1, 0, 0, 2, 7, 4, 1], [1, 0, 0, 2, 8, 2, 2], [1, 0, 0, 2, 9, 0, 3], [1, 0, 0, 3, 4, 7, 0], [1, 0, 0, 3, 5, 5, 1], [1, 0, 0, 3, 6, 3, 2], [1, 0, 0, 3, 7, 1, 3], [1, 0, 0, 4, 2, 8, 0], [1, 0, 0, 4, 3, 6, 1], [1, 0, 0, 4, 4, 4, 2], [1, 0, 0, 4, 5, 2, 3], [1, 0, 0, 4, 6, 0, 4], [1, 0, 0, 5, 0, 9, 0], [1, 0, 0, 5, 1, 7, 1], [1, 0, 0, 5, 2, 5, 2], [1, 0, 0, 5, 3, 3, 3], [1, 0, 0, 5, 4, 1, 4], [1, 0, 0, 6, 0, 6, 2], [1, 0, 0, 6, 1, 4, 3], [1, 0, 0, 6, 2, 2, 4], [1, 0, 0, 6, 3, 0, 5], [1, 0, 0, 7, 0, 3, 4], [1, 0, 0, 7, 1, 1, 5], [1, 0, 0, 8, 0, 0, 6], [1, 0, 1, 0, 7, 6, 0], [1, 0, 1, 0, 8, 4, 1], [1, 0, 1, 0, 9, 2, 2], [1, 0, 1, 0, 10, 0, 3], [1, 0, 1, 1, 5, 7, 0], [1, 0, 1, 1, 6, 5, 1], [1, 0, 1, 1, 7, 3, 2], [1, 0, 1, 1, 8, 1, 3], [1, 0, 1, 2, 3, 8, 0], [1, 0, 1, 2, 4, 6, 1], [1, 0, 1, 2, 5, 4, 2], [1, 0, 1, 2, 6, 2, 3], [1, 0, 1, 2, 7, 0, 4], [1, 0, 1, 3, 1, 9, 0], [1, 0, 1, 3, 2, 7, 1], [1, 0, 1, 3, 3, 5, 2], [1, 0, 1, 3, 4, 3, 3], [1, 0, 1, 3, 5, 1, 4], [1, 0, 1, 4, 0, 8, 1], [1, 0, 1, 4, 1, 6, 2], [1, 0, 1, 4, 2, 4, 3], [1, 0, 1, 4, 3, 2, 4], [1, 0, 1, 4, 4, 0, 5], [1, 0, 1, 5, 0, 5, 3], [1, 0, 1, 5, 1, 3, 4], [1, 0, 1, 5, 2, 1, 5], [1, 0, 1, 6, 0, 2, 5], [1, 0, 1, 6, 1, 0, 6], [1, 0, 2, 0, 4, 8, 0], [1, 0, 2, 0, 5, 6, 1], [1, 0, 2, 0, 6, 4, 2], [1, 0, 2, 0, 7, 2, 3], [1, 0, 2, 0, 8, 0, 4], [1, 0, 2, 1, 2, 9, 0], [1, 0, 2, 1, 3, 7, 1], [1, 0, 2, 1, 4, 5, 2], [1, 0, 2, 1, 5, 3, 3], [1, 0, 2, 1, 6, 1, 4], [1, 0, 2, 2, 0, 10, 0], [1, 0, 2, 2, 1, 8, 1], [1, 0, 2, 2, 2, 6, 2], [1, 0, 2, 2, 3, 4, 3], [1, 0, 2, 2, 4, 2, 4], [1, 0, 2, 2, 5, 0, 5], [1, 0, 2, 3, 0, 7, 2], [1, 0, 2, 3, 1, 5, 3], [1, 0, 2, 3, 2, 3, 4], [1, 0, 2, 3, 3, 1, 5], [1, 0, 2, 4, 0, 4, 4], [1, 0, 2, 4, 1, 2, 5], [1, 0, 2, 4, 2, 0, 6], [1, 0, 2, 5, 0, 1, 6], [1, 0, 3, 0, 1, 10, 0], [1, 0, 3, 0, 2, 8, 1], [1, 0, 3, 0, 3, 6, 2], [1, 0, 3, 0, 4, 4, 3], [1, 0, 3, 0, 5, 2, 4], [1, 0, 3, 0, 6, 0, 5], [1, 0, 3, 1, 0, 9, 1], [1, 0, 3, 1, 1, 7, 2], [1, 0, 3, 1, 2, 5, 3], [1, 0, 3, 1, 3, 3, 4], [1, 0, 3, 1, 4, 1, 5], [1, 0, 3, 2, 0, 6, 3], [1, 0, 3, 2, 1, 4, 4], [1, 0, 3, 2, 2, 2, 5], [1, 0, 3, 2, 3, 0, 6], [1, 0, 3, 3, 0, 3, 5], [1, 0, 3, 3, 1, 1, 6], [1, 0, 3, 4, 0, 0, 7], [1, 0, 4, 0, 0, 8, 2], [1, 0, 4, 0, 1, 6, 3], [1, 0, 4, 0, 2, 4, 4], [1, 0, 4, 0, 3, 2, 5], [1, 0, 4, 0, 4, 0, 6], [1, 0, 4, 1, 0, 5, 4], [1, 0, 4, 1, 1, 3, 5], [1, 0, 4, 1, 2, 1, 6], [1, 0, 4, 2, 0, 2, 6], [1, 0, 4, 2, 1, 0, 7], [1, 0, 5, 0, 0, 4, 5], [1, 0, 5, 0, 1, 2, 6], [1, 0, 5, 0, 2, 0, 7], [1, 0, 5, 1, 0, 1, 7], [1, 0, 6, 0, 0, 0, 8], [1, 1, 0, 0, 6, 7, 0], [1, 1, 0, 0, 7, 5, 1], [1, 1, 0, 0, 8, 3, 2], [1, 1, 0, 0, 9, 1, 3], [1, 1, 0, 1, 4, 8, 0], [1, 1, 0, 1, 5, 6, 1], [1, 1, 0, 1, 6, 4, 2], [1, 1, 0, 1, 7, 2, 3], [1, 1, 0, 1, 8, 0, 4], [1, 1, 0, 2, 2, 9, 0], [1, 1, 0, 2, 3, 7, 1], [1, 1, 0, 2, 4, 5, 2], [1, 1, 0, 2, 5, 3, 3], [1, 1, 0, 2, 6, 1, 4], [1, 1, 0, 3, 0, 10, 0], [1, 1, 0, 3, 1, 8, 1], [1, 1, 0, 3, 2, 6, 2], [1, 1, 0, 3, 3, 4, 3], [1, 1, 0, 3, 4, 2, 4], [1, 1, 0, 3, 5, 0, 5], [1, 1, 0, 4, 0, 7, 2], [1, 1, 0, 4, 1, 5, 3], [1, 1, 0, 4, 2, 3, 4], [1, 1, 0, 4, 3, 1, 5], [1, 1, 0, 5, 0, 4, 4], [1, 1, 0, 5, 1, 2, 5], [1, 1, 0, 5, 2, 0, 6], [1, 1, 0, 6, 0, 1, 6], [1, 1, 1, 0, 3, 9, 0], [1, 1, 1, 0, 4, 7, 1], [1, 1, 1, 0, 5, 5, 2], [1, 1, 1, 0, 6, 3, 3], [1, 1, 1, 0, 7, 1, 4], [1, 1, 1, 1, 1, 10, 0], [1, 1, 1, 1, 2, 8, 1], [1, 1, 1, 1, 3, 6, 2], [1, 1, 1, 1, 4, 4, 3], [1, 1, 1, 1, 5, 2, 4], [1, 1, 1, 1, 6, 0, 5], [1, 1, 1, 2, 0, 9, 1], [1, 1, 1, 2, 1, 7, 2], [1, 1, 1, 2, 2, 5, 3], [1, 1, 1, 2, 3, 3, 4], [1, 1, 1, 2, 4, 1, 5], [1, 1, 1, 3, 0, 6, 3], [1, 1, 1, 3, 1, 4, 4], [1, 1, 1, 3, 2, 2, 5], [1, 1, 1, 3, 3, 0, 6], [1, 1, 1, 4, 0, 3, 5], [1, 1, 1, 4, 1, 1, 6], [1, 1, 1, 5, 0, 0, 7], [1, 1, 2, 0, 0, 11, 0], [1, 1, 2, 0, 1, 9, 1], [1, 1, 2, 0, 2, 7, 2], [1, 1, 2, 0, 3, 5, 3], [1, 1, 2, 0, 4, 3, 4], [1, 1, 2, 0, 5, 1, 5], [1, 1, 2, 1, 0, 8, 2], [1, 1, 2, 1, 1, 6, 3], [1, 1, 2, 1, 2, 4, 4], [1, 1, 2, 1, 3, 2, 5], [1, 1, 2, 1, 4, 0, 6], [1, 1, 2, 2, 0, 5, 4], [1, 1, 2, 2, 1, 3, 5], [1, 1, 2, 2, 2, 1, 6], [1, 1, 2, 3, 0, 2, 6], [1, 1, 2, 3, 1, 0, 7], [1, 1, 3, 0, 0, 7, 3], [1, 1, 3, 0, 1, 5, 4], [1, 1, 3, 0, 2, 3, 5], [1, 1, 3, 0, 3, 1, 6], [1, 1, 3, 1, 0, 4, 5], [1, 1, 3, 1, 1, 2, 6], [1, 1, 3, 1, 2, 0, 7], [1, 1, 3, 2, 0, 1, 7], [1, 1, 4, 0, 0, 3, 6], [1, 1, 4, 0, 1, 1, 7], [1, 1, 4, 1, 0, 0, 8], [1, 2, 0, 0, 2, 10, 0], [1, 2, 0, 0, 3, 8, 1], [1, 2, 0, 0, 4, 6, 2], [1, 2, 0, 0, 5, 4, 3], [1, 2, 0, 0, 6, 2, 4], [1, 2, 0, 0, 7, 0, 5], [1, 2, 0, 1, 0, 11, 0], [1, 2, 0, 1, 1, 9, 1], [1, 2, 0, 1, 2, 7, 2], [1, 2, 0, 1, 3, 5, 3], [1, 2, 0, 1, 4, 3, 4], [1, 2, 0, 1, 5, 1, 5], [1, 2, 0, 2, 0, 8, 2], [1, 2, 0, 2, 1, 6, 3], [1, 2, 0, 2, 2, 4, 4], [1, 2, 0, 2, 3, 2, 5], [1, 2, 0, 2, 4, 0, 6], [1, 2, 0, 3, 0, 5, 4], [1, 2, 0, 3, 1, 3, 5], [1, 2, 0, 3, 2, 1, 6], [1, 2, 0, 4, 0, 2, 6], [1, 2, 0, 4, 1, 0, 7], [1, 2, 1, 0, 0, 10, 1], [1, 2, 1, 0, 1, 8, 2], [1, 2, 1, 0, 2, 6, 3], [1, 2, 1, 0, 3, 4, 4], [1, 2, 1, 0, 4, 2, 5], [1, 2, 1, 0, 5, 0, 6], [1, 2, 1, 1, 0, 7, 3], [1, 2, 1, 1, 1, 5, 4], [1, 2, 1, 1, 2, 3, 5], [1, 2, 1, 1, 3, 1, 6], [1, 2, 1, 2, 0, 4, 5], [1, 2, 1, 2, 1, 2, 6], [1, 2, 1, 2, 2, 0, 7], [1, 2, 1, 3, 0, 1, 7], [1, 2, 2, 0, 0, 6, 4], [1, 2, 2, 0, 1, 4, 5], [1, 2, 2, 0, 2, 2, 6], [1, 2, 2, 0, 3, 0, 7], [1, 2, 2, 1, 0, 3, 6], [1, 2, 2, 1, 1, 1, 7], [1, 2, 2, 2, 0, 0, 8], [1, 2, 3, 0, 0, 2, 7], [1, 2, 3, 0, 1, 0, 8], [1, 3, 0, 0, 0, 9, 2], [1, 3, 0, 0, 1, 7, 3], [1, 3, 0, 0, 2, 5, 4], [1, 3, 0, 0, 3, 3, 5], [1, 3, 0, 0, 4, 1, 6], [1, 3, 0, 1, 0, 6, 4], [1, 3, 0, 1, 1, 4, 5], [1, 3, 0, 1, 2, 2, 6], [1, 3, 0, 1, 3, 0, 7], [1, 3, 0, 2, 0, 3, 6], [1, 3, 0, 2, 1, 1, 7], [1, 3, 0, 3, 0, 0, 8], [1, 3, 1, 0, 0, 5, 5], [1, 3, 1, 0, 1, 3, 6], [1, 3, 1, 0, 2, 1, 7], [1, 3, 1, 1, 0, 2, 7], [1, 3, 1, 1, 1, 0, 8], [1, 3, 2, 0, 0, 1, 8], [1, 4, 0, 0, 0, 4, 6], [1, 4, 0, 0, 1, 2, 7], [1, 4, 0, 0, 2, 0, 8], [1, 4, 0, 1, 0, 1, 8], [1, 4, 1, 0, 0, 0, 9], [2, 0, 0, 0, 5, 8, 0], [2, 0, 0, 0, 6, 6, 1], [2, 0, 0, 0, 7, 4, 2], [2, 0, 0, 0, 8, 2, 3], [2, 0, 0, 0, 9, 0, 4], [2, 0, 0, 1, 3, 9, 0], [2, 0, 0, 1, 4, 7, 1], [2, 0, 0, 1, 5, 5, 2], [2, 0, 0, 1, 6, 3, 3], [2, 0, 0, 1, 7, 1, 4], [2, 0, 0, 2, 1, 10, 0], [2, 0, 0, 2, 2, 8, 1], [2, 0, 0, 2, 3, 6, 2], [2, 0, 0, 2, 4, 4, 3], [2, 0, 0, 2, 5, 2, 4], [2, 0, 0, 2, 6, 0, 5], [2, 0, 0, 3, 0, 9, 1], [2, 0, 0, 3, 1, 7, 2], [2, 0, 0, 3, 2, 5, 3], [2, 0, 0, 3, 3, 3, 4], [2, 0, 0, 3, 4, 1, 5], [2, 0, 0, 4, 0, 6, 3], [2, 0, 0, 4, 1, 4, 4], [2, 0, 0, 4, 2, 2, 5], [2, 0, 0, 4, 3, 0, 6], [2, 0, 0, 5, 0, 3, 5], [2, 0, 0, 5, 1, 1, 6], [2, 0, 0, 6, 0, 0, 7], [2, 0, 1, 0, 2, 10, 0], [2, 0, 1, 0, 3, 8, 1], [2, 0, 1, 0, 4, 6, 2], [2, 0, 1, 0, 5, 4, 3], [2, 0, 1, 0, 6, 2, 4], [2, 0, 1, 0, 7, 0, 5], [2, 0, 1, 1, 0, 11, 0], [2, 0, 1, 1, 1, 9, 1], [2, 0, 1, 1, 2, 7, 2], [2, 0, 1, 1, 3, 5, 3], [2, 0, 1, 1, 4, 3, 4], [2, 0, 1, 1, 5, 1, 5], [2, 0, 1, 2, 0, 8, 2], [2, 0, 1, 2, 1, 6, 3], [2, 0, 1, 2, 2, 4, 4], [2, 0, 1, 2, 3, 2, 5], [2, 0, 1, 2, 4, 0, 6], [2, 0, 1, 3, 0, 5, 4], [2, 0, 1, 3, 1, 3, 5], [2, 0, 1, 3, 2, 1, 6], [2, 0, 1, 4, 0, 2, 6], [2, 0, 1, 4, 1, 0, 7], [2, 0, 2, 0, 0, 10, 1], [2, 0, 2, 0, 1, 8, 2], [2, 0, 2, 0, 2, 6, 3], [2, 0, 2, 0, 3, 4, 4], [2, 0, 2, 0, 4, 2, 5], [2, 0, 2, 0, 5, 0, 6], [2, 0, 2, 1, 0, 7, 3], [2, 0, 2, 1, 1, 5, 4], [2, 0, 2, 1, 2, 3, 5], [2, 0, 2, 1, 3, 1, 6], [2, 0, 2, 2, 0, 4, 5], [2, 0, 2, 2, 1, 2, 6], [2, 0, 2, 2, 2, 0, 7], [2, 0, 2, 3, 0, 1, 7], [2, 0, 3, 0, 0, 6, 4], [2, 0, 3, 0, 1, 4, 5], [2, 0, 3, 0, 2, 2, 6], [2, 0, 3, 0, 3, 0, 7], [2, 0, 3, 1, 0, 3, 6], [2, 0, 3, 1, 1, 1, 7], [2, 0, 3, 2, 0, 0, 8], [2, 0, 4, 0, 0, 2, 7], [2, 0, 4, 0, 1, 0, 8], [2, 1, 0, 0, 1, 11, 0], [2, 1, 0, 0, 2, 9, 1], [2, 1, 0, 0, 3, 7, 2], [2, 1, 0, 0, 4, 5, 3], [2, 1, 0, 0, 5, 3, 4], [2, 1, 0, 0, 6, 1, 5], [2, 1, 0, 1, 0, 10, 1], [2, 1, 0, 1, 1, 8, 2], [2, 1, 0, 1, 2, 6, 3], [2, 1, 0, 1, 3, 4, 4], [2, 1, 0, 1, 4, 2, 5], [2, 1, 0, 1, 5, 0, 6], [2, 1, 0, 2, 0, 7, 3], [2, 1, 0, 2, 1, 5, 4], [2, 1, 0, 2, 2, 3, 5], [2, 1, 0, 2, 3, 1, 6], [2, 1, 0, 3, 0, 4, 5], [2, 1, 0, 3, 1, 2, 6], [2, 1, 0, 3, 2, 0, 7], [2, 1, 0, 4, 0, 1, 7], [2, 1, 1, 0, 0, 9, 2], [2, 1, 1, 0, 1, 7, 3], [2, 1, 1, 0, 2, 5, 4], [2, 1, 1, 0, 3, 3, 5], [2, 1, 1, 0, 4, 1, 6], [2, 1, 1, 1, 0, 6, 4], [2, 1, 1, 1, 1, 4, 5], [2, 1, 1, 1, 2, 2, 6], [2, 1, 1, 1, 3, 0, 7], [2, 1, 1, 2, 0, 3, 6], [2, 1, 1, 2, 1, 1, 7], [2, 1, 1, 3, 0, 0, 8], [2, 1, 2, 0, 0, 5, 5], [2, 1, 2, 0, 1, 3, 6], [2, 1, 2, 0, 2, 1, 7], [2, 1, 2, 1, 0, 2, 7], [2, 1, 2, 1, 1, 0, 8], [2, 1, 3, 0, 0, 1, 8], [2, 2, 0, 0, 0, 8, 3], [2, 2, 0, 0, 1, 6, 4], [2, 2, 0, 0, 2, 4, 5], [2, 2, 0, 0, 3, 2, 6], [2, 2, 0, 0, 4, 0, 7], [2, 2, 0, 1, 0, 5, 5], [2, 2, 0, 1, 1, 3, 6], [2, 2, 0, 1, 2, 1, 7], [2, 2, 0, 2, 0, 2, 7], [2, 2, 0, 2, 1, 0, 8], [2, 2, 1, 0, 0, 4, 6], [2, 2, 1, 0, 1, 2, 7], [2, 2, 1, 0, 2, 0, 8], [2, 2, 1, 1, 0, 1, 8], [2, 2, 2, 0, 0, 0, 9], [2, 3, 0, 0, 0, 3, 7], [2, 3, 0, 0, 1, 1, 8], [2, 3, 0, 1, 0, 0, 9], [3, 0, 0, 0, 0, 12, 0], [3, 0, 0, 0, 1, 10, 1], [3, 0, 0, 0, 2, 8, 2], [3, 0, 0, 0, 3, 6, 3], [3, 0, 0, 0, 4, 4, 4], [3, 0, 0, 0, 5, 2, 5], [3, 0, 0, 0, 6, 0, 6], [3, 0, 0, 1, 0, 9, 2], [3, 0, 0, 1, 1, 7, 3], [3, 0, 0, 1, 2, 5, 4], [3, 0, 0, 1, 3, 3, 5], [3, 0, 0, 1, 4, 1, 6], [3, 0, 0, 2, 0, 6, 4], [3, 0, 0, 2, 1, 4, 5], [3, 0, 0, 2, 2, 2, 6], [3, 0, 0, 2, 3, 0, 7], [3, 0, 0, 3, 0, 3, 6], [3, 0, 0, 3, 1, 1, 7], [3, 0, 0, 4, 0, 0, 8], [3, 0, 1, 0, 0, 8, 3], [3, 0, 1, 0, 1, 6, 4], [3, 0, 1, 0, 2, 4, 5], [3, 0, 1, 0, 3, 2, 6], [3, 0, 1, 0, 4, 0, 7], [3, 0, 1, 1, 0, 5, 5], [3, 0, 1, 1, 1, 3, 6], [3, 0, 1, 1, 2, 1, 7], [3, 0, 1, 2, 0, 2, 7], [3, 0, 1, 2, 1, 0, 8], [3, 0, 2, 0, 0, 4, 6], [3, 0, 2, 0, 1, 2, 7], [3, 0, 2, 0, 2, 0, 8], [3, 0, 2, 1, 0, 1, 8], [3, 0, 3, 0, 0, 0, 9], [3, 1, 0, 0, 0, 7, 4], [3, 1, 0, 0, 1, 5, 5], [3, 1, 0, 0, 2, 3, 6], [3, 1, 0, 0, 3, 1, 7], [3, 1, 0, 1, 0, 4, 6], [3, 1, 0, 1, 1, 2, 7], [3, 1, 0, 1, 2, 0, 8], [3, 1, 0, 2, 0, 1, 8], [3, 1, 1, 0, 0, 3, 7], [3, 1, 1, 0, 1, 1, 8], [3, 1, 1, 1, 0, 0, 9], [3, 2, 0, 0, 0, 2, 8], [3, 2, 0, 0, 1, 0, 9], [4, 0, 0, 0, 0, 6, 5], [4, 0, 0, 0, 1, 4, 6], [4, 0, 0, 0, 2, 2, 7], [4, 0, 0, 0, 3, 0, 8], [4, 0, 0, 1, 0, 3, 7], [4, 0, 0, 1, 1, 1, 8], [4, 0, 0, 2, 0, 0, 9], [4, 0, 1, 0, 0, 2, 8], [4, 0, 1, 0, 1, 0, 9], [4, 1, 0, 0, 0, 1, 9], [5, 0, 0, 0, 0, 0, 10]}
(7, 15, 1) has 1069 possible DDs: {[1, 0, 0, 0, 0, 14, 0, 0], [1, 0, 0, 0, 1, 12, 1, 0], [1, 0, 0, 0, 2, 10, 2, 0], [1, 0, 0, 0, 2, 11, 0, 1], [1, 0, 0, 0, 3, 8, 3, 0], [1, 0, 0, 0, 3, 9, 1, 1], [1, 0, 0, 0, 4, 6, 4, 0], [1, 0, 0, 0, 4, 7, 2, 1], [1, 0, 0, 0, 4, 8, 0, 2], [1, 0, 0, 0, 5, 4, 5, 0], [1, 0, 0, 0, 5, 5, 3, 1], [1, 0, 0, 0, 5, 6, 1, 2], [1, 0, 0, 0, 6, 2, 6, 0], [1, 0, 0, 0, 6, 3, 4, 1], [1, 0, 0, 0, 6, 4, 2, 2], [1, 0, 0, 0, 6, 5, 0, 3], [1, 0, 0, 0, 7, 0, 7, 0], [1, 0, 0, 0, 7, 1, 5, 1], [1, 0, 0, 0, 7, 2, 3, 2], [1, 0, 0, 0, 7, 3, 1, 3], [1, 0, 0, 0, 8, 0, 4, 2], [1, 0, 0, 0, 8, 1, 2, 3], [1, 0, 0, 0, 8, 2, 0, 4], [1, 0, 0, 0, 9, 0, 1, 4], [1, 0, 0, 1, 0, 11, 2, 0], [1, 0, 0, 1, 0, 12, 0, 1], [1, 0, 0, 1, 1, 9, 3, 0], [1, 0, 0, 1, 1, 10, 1, 1], [1, 0, 0, 1, 2, 7, 4, 0], [1, 0, 0, 1, 2, 8, 2, 1], [1, 0, 0, 1, 2, 9, 0, 2], [1, 0, 0, 1, 3, 5, 5, 0], [1, 0, 0, 1, 3, 6, 3, 1], [1, 0, 0, 1, 3, 7, 1, 2], [1, 0, 0, 1, 4, 3, 6, 0], [1, 0, 0, 1, 4, 4, 4, 1], [1, 0, 0, 1, 4, 5, 2, 2], [1, 0, 0, 1, 4, 6, 0, 3], [1, 0, 0, 1, 5, 1, 7, 0], [1, 0, 0, 1, 5, 2, 5, 1], [1, 0, 0, 1, 5, 3, 3, 2], [1, 0, 0, 1, 5, 4, 1, 3], [1, 0, 0, 1, 6, 0, 6, 1], [1, 0, 0, 1, 6, 1, 4, 2], [1, 0, 0, 1, 6, 2, 2, 3], [1, 0, 0, 1, 6, 3, 0, 4], [1, 0, 0, 1, 7, 0, 3, 3], [1, 0, 0, 1, 7, 1, 1, 4], [1, 0, 0, 1, 8, 0, 0, 5], [1, 0, 0, 2, 0, 8, 4, 0], [1, 0, 0, 2, 0, 9, 2, 1], [1, 0, 0, 2, 0, 10, 0, 2], [1, 0, 0, 2, 1, 6, 5, 0], [1, 0, 0, 2, 1, 7, 3, 1], [1, 0, 0, 2, 1, 8, 1, 2], [1, 0, 0, 2, 2, 4, 6, 0], [1, 0, 0, 2, 2, 5, 4, 1], [1, 0, 0, 2, 2, 6, 2, 2], [1, 0, 0, 2, 2, 7, 0, 3], [1, 0, 0, 2, 3, 2, 7, 0], [1, 0, 0, 2, 3, 3, 5, 1], [1, 0, 0, 2, 3, 4, 3, 2], [1, 0, 0, 2, 3, 5, 1, 3], [1, 0, 0, 2, 4, 0, 8, 0], [1, 0, 0, 2, 4, 1, 6, 1], [1, 0, 0, 2, 4, 2, 4, 2], [1, 0, 0, 2, 4, 3, 2, 3], [1, 0, 0, 2, 4, 4, 0, 4], [1, 0, 0, 2, 5, 0, 5, 2], [1, 0, 0, 2, 5, 1, 3, 3], [1, 0, 0, 2, 5, 2, 1, 4], [1, 0, 0, 2, 6, 0, 2, 4], [1, 0, 0, 2, 6, 1, 0, 5], [1, 0, 0, 3, 0, 5, 6, 0], [1, 0, 0, 3, 0, 6, 4, 1], [1, 0, 0, 3, 0, 7, 2, 2], [1, 0, 0, 3, 0, 8, 0, 3], [1, 0, 0, 3, 1, 3, 7, 0], [1, 0, 0, 3, 1, 4, 5, 1], [1, 0, 0, 3, 1, 5, 3, 2], [1, 0, 0, 3, 1, 6, 1, 3], [1, 0, 0, 3, 2, 1, 8, 0], [1, 0, 0, 3, 2, 2, 6, 1], [1, 0, 0, 3, 2, 3, 4, 2], [1, 0, 0, 3, 2, 4, 2, 3], [1, 0, 0, 3, 2, 5, 0, 4], [1, 0, 0, 3, 3, 0, 7, 1], [1, 0, 0, 3, 3, 1, 5, 2], [1, 0, 0, 3, 3, 2, 3, 3], [1, 0, 0, 3, 3, 3, 1, 4], [1, 0, 0, 3, 4, 0, 4, 3], [1, 0, 0, 3, 4, 1, 2, 4], [1, 0, 0, 3, 4, 2, 0, 5], [1, 0, 0, 3, 5, 0, 1, 5], [1, 0, 0, 4, 0, 2, 8, 0], [1, 0, 0, 4, 0, 3, 6, 1], [1, 0, 0, 4, 0, 4, 4, 2], [1, 0, 0, 4, 0, 5, 2, 3], [1, 0, 0, 4, 0, 6, 0, 4], [1, 0, 0, 4, 1, 0, 9, 0], [1, 0, 0, 4, 1, 1, 7, 1], [1, 0, 0, 4, 1, 2, 5, 2], [1, 0, 0, 4, 1, 3, 3, 3], [1, 0, 0, 4, 1, 4, 1, 4], [1, 0, 0, 4, 2, 0, 6, 2], [1, 0, 0, 4, 2, 1, 4, 3], [1, 0, 0, 4, 2, 2, 2, 4], [1, 0, 0, 4, 2, 3, 0, 5], [1, 0, 0, 4, 3, 0, 3, 4], [1, 0, 0, 4, 3, 1, 1, 5], [1, 0, 0, 4, 4, 0, 0, 6], [1, 0, 0, 5, 0, 0, 8, 1], [1, 0, 0, 5, 0, 1, 6, 2], [1, 0, 0, 5, 0, 2, 4, 3], [1, 0, 0, 5, 0, 3, 2, 4], [1, 0, 0, 5, 0, 4, 0, 5], [1, 0, 0, 5, 1, 0, 5, 3], [1, 0, 0, 5, 1, 1, 3, 4], [1, 0, 0, 5, 1, 2, 1, 5], [1, 0, 0, 5, 2, 0, 2, 5], [1, 0, 0, 5, 2, 1, 0, 6], [1, 0, 0, 6, 0, 0, 4, 4], [1, 0, 0, 6, 0, 1, 2, 5], [1, 0, 0, 6, 0, 2, 0, 6], [1, 0, 0, 6, 1, 0, 1, 6], [1, 0, 0, 7, 0, 0, 0, 7], [1, 0, 1, 0, 0, 10, 3, 0], [1, 0, 1, 0, 0, 11, 1, 1], [1, 0, 1, 0, 1, 8, 4, 0], [1, 0, 1, 0, 1, 9, 2, 1], [1, 0, 1, 0, 1, 10, 0, 2], [1, 0, 1, 0, 2, 6, 5, 0], [1, 0, 1, 0, 2, 7, 3, 1], [1, 0, 1, 0, 2, 8, 1, 2], [1, 0, 1, 0, 3, 4, 6, 0], [1, 0, 1, 0, 3, 5, 4, 1], [1, 0, 1, 0, 3, 6, 2, 2], [1, 0, 1, 0, 3, 7, 0, 3], [1, 0, 1, 0, 4, 2, 7, 0], [1, 0, 1, 0, 4, 3, 5, 1], [1, 0, 1, 0, 4, 4, 3, 2], [1, 0, 1, 0, 4, 5, 1, 3], [1, 0, 1, 0, 5, 0, 8, 0], [1, 0, 1, 0, 5, 1, 6, 1], [1, 0, 1, 0, 5, 2, 4, 2], [1, 0, 1, 0, 5, 3, 2, 3], [1, 0, 1, 0, 5, 4, 0, 4], [1, 0, 1, 0, 6, 0, 5, 2], [1, 0, 1, 0, 6, 1, 3, 3], [1, 0, 1, 0, 6, 2, 1, 4], [1, 0, 1, 0, 7, 0, 2, 4], [1, 0, 1, 0, 7, 1, 0, 5], [1, 0, 1, 1, 0, 7, 5, 0], [1, 0, 1, 1, 0, 8, 3, 1], [1, 0, 1, 1, 0, 9, 1, 2], [1, 0, 1, 1, 1, 5, 6, 0], [1, 0, 1, 1, 1, 6, 4, 1], [1, 0, 1, 1, 1, 7, 2, 2], [1, 0, 1, 1, 1, 8, 0, 3], [1, 0, 1, 1, 2, 3, 7, 0], [1, 0, 1, 1, 2, 4, 5, 1], [1, 0, 1, 1, 2, 5, 3, 2], [1, 0, 1, 1, 2, 6, 1, 3], [1, 0, 1, 1, 3, 1, 8, 0], [1, 0, 1, 1, 3, 2, 6, 1], [1, 0, 1, 1, 3, 3, 4, 2], [1, 0, 1, 1, 3, 4, 2, 3], [1, 0, 1, 1, 3, 5, 0, 4], [1, 0, 1, 1, 4, 0, 7, 1], [1, 0, 1, 1, 4, 1, 5, 2], [1, 0, 1, 1, 4, 2, 3, 3], [1, 0, 1, 1, 4, 3, 1, 4], [1, 0, 1, 1, 5, 0, 4, 3], [1, 0, 1, 1, 5, 1, 2, 4], [1, 0, 1, 1, 5, 2, 0, 5], [1, 0, 1, 1, 6, 0, 1, 5], [1, 0, 1, 2, 0, 4, 7, 0], [1, 0, 1, 2, 0, 5, 5, 1], [1, 0, 1, 2, 0, 6, 3, 2], [1, 0, 1, 2, 0, 7, 1, 3], [1, 0, 1, 2, 1, 2, 8, 0], [1, 0, 1, 2, 1, 3, 6, 1], [1, 0, 1, 2, 1, 4, 4, 2], [1, 0, 1, 2, 1, 5, 2, 3], [1, 0, 1, 2, 1, 6, 0, 4], [1, 0, 1, 2, 2, 0, 9, 0], [1, 0, 1, 2, 2, 1, 7, 1], [1, 0, 1, 2, 2, 2, 5, 2], [1, 0, 1, 2, 2, 3, 3, 3], [1, 0, 1, 2, 2, 4, 1, 4], [1, 0, 1, 2, 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6], [2, 2, 1, 0, 0, 1, 2, 7], [2, 2, 1, 0, 0, 2, 0, 8], [2, 2, 1, 0, 1, 0, 1, 8], [2, 2, 1, 1, 0, 0, 0, 9], [2, 3, 0, 0, 0, 0, 3, 7], [2, 3, 0, 0, 0, 1, 1, 8], [2, 3, 0, 0, 1, 0, 0, 9], [3, 0, 0, 0, 0, 2, 10, 0], [3, 0, 0, 0, 0, 3, 8, 1], [3, 0, 0, 0, 0, 4, 6, 2], [3, 0, 0, 0, 0, 5, 4, 3], [3, 0, 0, 0, 0, 6, 2, 4], [3, 0, 0, 0, 0, 7, 0, 5], [3, 0, 0, 0, 1, 0, 11, 0], [3, 0, 0, 0, 1, 1, 9, 1], [3, 0, 0, 0, 1, 2, 7, 2], [3, 0, 0, 0, 1, 3, 5, 3], [3, 0, 0, 0, 1, 4, 3, 4], [3, 0, 0, 0, 1, 5, 1, 5], [3, 0, 0, 0, 2, 0, 8, 2], [3, 0, 0, 0, 2, 1, 6, 3], [3, 0, 0, 0, 2, 2, 4, 4], [3, 0, 0, 0, 2, 3, 2, 5], [3, 0, 0, 0, 2, 4, 0, 6], [3, 0, 0, 0, 3, 0, 5, 4], [3, 0, 0, 0, 3, 1, 3, 5], [3, 0, 0, 0, 3, 2, 1, 6], [3, 0, 0, 0, 4, 0, 2, 6], [3, 0, 0, 0, 4, 1, 0, 7], [3, 0, 0, 1, 0, 0, 10, 1], [3, 0, 0, 1, 0, 1, 8, 2], [3, 0, 0, 1, 0, 2, 6, 3], [3, 0, 0, 1, 0, 3, 4, 4], [3, 0, 0, 1, 0, 4, 2, 5], [3, 0, 0, 1, 0, 5, 0, 6], [3, 0, 0, 1, 1, 0, 7, 3], [3, 0, 0, 1, 1, 1, 5, 4], [3, 0, 0, 1, 1, 2, 3, 5], [3, 0, 0, 1, 1, 3, 1, 6], [3, 0, 0, 1, 2, 0, 4, 5], [3, 0, 0, 1, 2, 1, 2, 6], [3, 0, 0, 1, 2, 2, 0, 7], [3, 0, 0, 1, 3, 0, 1, 7], [3, 0, 0, 2, 0, 0, 6, 4], [3, 0, 0, 2, 0, 1, 4, 5], [3, 0, 0, 2, 0, 2, 2, 6], [3, 0, 0, 2, 0, 3, 0, 7], [3, 0, 0, 2, 1, 0, 3, 6], [3, 0, 0, 2, 1, 1, 1, 7], [3, 0, 0, 2, 2, 0, 0, 8], [3, 0, 0, 3, 0, 0, 2, 7], [3, 0, 0, 3, 0, 1, 0, 8], [3, 0, 1, 0, 0, 0, 9, 2], [3, 0, 1, 0, 0, 1, 7, 3], [3, 0, 1, 0, 0, 2, 5, 4], [3, 0, 1, 0, 0, 3, 3, 5], [3, 0, 1, 0, 0, 4, 1, 6], [3, 0, 1, 0, 1, 0, 6, 4], [3, 0, 1, 0, 1, 1, 4, 5], [3, 0, 1, 0, 1, 2, 2, 6], [3, 0, 1, 0, 1, 3, 0, 7], [3, 0, 1, 0, 2, 0, 3, 6], [3, 0, 1, 0, 2, 1, 1, 7], [3, 0, 1, 0, 3, 0, 0, 8], [3, 0, 1, 1, 0, 0, 5, 5], [3, 0, 1, 1, 0, 1, 3, 6], [3, 0, 1, 1, 0, 2, 1, 7], [3, 0, 1, 1, 1, 0, 2, 7], [3, 0, 1, 1, 1, 1, 0, 8], [3, 0, 1, 2, 0, 0, 1, 8], [3, 0, 2, 0, 0, 0, 4, 6], [3, 0, 2, 0, 0, 1, 2, 7], [3, 0, 2, 0, 0, 2, 0, 8], [3, 0, 2, 0, 1, 0, 1, 8], [3, 0, 2, 1, 0, 0, 0, 9], [3, 1, 0, 0, 0, 0, 8, 3], [3, 1, 0, 0, 0, 1, 6, 4], [3, 1, 0, 0, 0, 2, 4, 5], [3, 1, 0, 0, 0, 3, 2, 6], [3, 1, 0, 0, 0, 4, 0, 7], [3, 1, 0, 0, 1, 0, 5, 5], [3, 1, 0, 0, 1, 1, 3, 6], [3, 1, 0, 0, 1, 2, 1, 7], [3, 1, 0, 0, 2, 0, 2, 7], [3, 1, 0, 0, 2, 1, 0, 8], [3, 1, 0, 1, 0, 0, 4, 6], [3, 1, 0, 1, 0, 1, 2, 7], [3, 1, 0, 1, 0, 2, 0, 8], [3, 1, 0, 1, 1, 0, 1, 8], [3, 1, 0, 2, 0, 0, 0, 9], [3, 1, 1, 0, 0, 0, 3, 7], [3, 1, 1, 0, 0, 1, 1, 8], [3, 1, 1, 0, 1, 0, 0, 9], [3, 2, 0, 0, 0, 0, 2, 8], [3, 2, 0, 0, 0, 1, 0, 9], [4, 0, 0, 0, 0, 0, 7, 4], [4, 0, 0, 0, 0, 1, 5, 5], [4, 0, 0, 0, 0, 2, 3, 6], [4, 0, 0, 0, 0, 3, 1, 7], [4, 0, 0, 0, 1, 0, 4, 6], [4, 0, 0, 0, 1, 1, 2, 7], [4, 0, 0, 0, 1, 2, 0, 8], [4, 0, 0, 0, 2, 0, 1, 8], [4, 0, 0, 1, 0, 0, 3, 7], [4, 0, 0, 1, 0, 1, 1, 8], [4, 0, 0, 1, 1, 0, 0, 9], [4, 0, 1, 0, 0, 0, 2, 8], [4, 0, 1, 0, 0, 1, 0, 9], [4, 1, 0, 0, 0, 0, 1, 9], [5, 0, 0, 0, 0, 0, 0, 10]}
(8, 15, 1) has 2392 possible DDs: {[1, 0, 0, 0, 0, 4, 10, 0, 0], [1, 0, 0, 0, 0, 5, 8, 1, 0], [1, 0, 0, 0, 0, 6, 6, 2, 0], [1, 0, 0, 0, 0, 6, 7, 0, 1], [1, 0, 0, 0, 0, 7, 4, 3, 0], [1, 0, 0, 0, 0, 7, 5, 1, 1], [1, 0, 0, 0, 0, 8, 2, 4, 0], [1, 0, 0, 0, 0, 8, 3, 2, 1], [1, 0, 0, 0, 0, 8, 4, 0, 2], [1, 0, 0, 0, 0, 9, 0, 5, 0], [1, 0, 0, 0, 0, 9, 1, 3, 1], [1, 0, 0, 0, 0, 9, 2, 1, 2], [1, 0, 0, 0, 0, 10, 0, 2, 2], [1, 0, 0, 0, 0, 10, 1, 0, 3], [1, 0, 0, 0, 1, 2, 11, 0, 0], [1, 0, 0, 0, 1, 3, 9, 1, 0], [1, 0, 0, 0, 1, 4, 7, 2, 0], [1, 0, 0, 0, 1, 4, 8, 0, 1], [1, 0, 0, 0, 1, 5, 5, 3, 0], [1, 0, 0, 0, 1, 5, 6, 1, 1], [1, 0, 0, 0, 1, 6, 3, 4, 0], [1, 0, 0, 0, 1, 6, 4, 2, 1], [1, 0, 0, 0, 1, 6, 5, 0, 2], [1, 0, 0, 0, 1, 7, 1, 5, 0], [1, 0, 0, 0, 1, 7, 2, 3, 1], [1, 0, 0, 0, 1, 7, 3, 1, 2], [1, 0, 0, 0, 1, 8, 0, 4, 1], [1, 0, 0, 0, 1, 8, 1, 2, 2], [1, 0, 0, 0, 1, 8, 2, 0, 3], [1, 0, 0, 0, 1, 9, 0, 1, 3], [1, 0, 0, 0, 2, 0, 12, 0, 0], [1, 0, 0, 0, 2, 1, 10, 1, 0], [1, 0, 0, 0, 2, 2, 8, 2, 0], [1, 0, 0, 0, 2, 2, 9, 0, 1], [1, 0, 0, 0, 2, 3, 6, 3, 0], [1, 0, 0, 0, 2, 3, 7, 1, 1], [1, 0, 0, 0, 2, 4, 4, 4, 0], [1, 0, 0, 0, 2, 4, 5, 2, 1], [1, 0, 0, 0, 2, 4, 6, 0, 2], [1, 0, 0, 0, 2, 5, 2, 5, 0], [1, 0, 0, 0, 2, 5, 3, 3, 1], [1, 0, 0, 0, 2, 5, 4, 1, 2], [1, 0, 0, 0, 2, 6, 0, 6, 0], [1, 0, 0, 0, 2, 6, 1, 4, 1], [1, 0, 0, 0, 2, 6, 2, 2, 2], [1, 0, 0, 0, 2, 6, 3, 0, 3], [1, 0, 0, 0, 2, 7, 0, 3, 2], [1, 0, 0, 0, 2, 7, 1, 1, 3], [1, 0, 0, 0, 2, 8, 0, 0, 4], [1, 0, 0, 0, 3, 0, 9, 2, 0], [1, 0, 0, 0, 3, 0, 10, 0, 1], [1, 0, 0, 0, 3, 1, 7, 3, 0], [1, 0, 0, 0, 3, 1, 8, 1, 1], [1, 0, 0, 0, 3, 2, 5, 4, 0], [1, 0, 0, 0, 3, 2, 6, 2, 1], [1, 0, 0, 0, 3, 2, 7, 0, 2], [1, 0, 0, 0, 3, 3, 3, 5, 0], [1, 0, 0, 0, 3, 3, 4, 3, 1], [1, 0, 0, 0, 3, 3, 5, 1, 2], [1, 0, 0, 0, 3, 4, 1, 6, 0], [1, 0, 0, 0, 3, 4, 2, 4, 1], [1, 0, 0, 0, 3, 4, 3, 2, 2], [1, 0, 0, 0, 3, 4, 4, 0, 3], [1, 0, 0, 0, 3, 5, 0, 5, 1], [1, 0, 0, 0, 3, 5, 1, 3, 2], [1, 0, 0, 0, 3, 5, 2, 1, 3], [1, 0, 0, 0, 3, 6, 0, 2, 3], [1, 0, 0, 0, 3, 6, 1, 0, 4], [1, 0, 0, 0, 4, 0, 6, 4, 0], [1, 0, 0, 0, 4, 0, 7, 2, 1], [1, 0, 0, 0, 4, 0, 8, 0, 2], [1, 0, 0, 0, 4, 1, 4, 5, 0], [1, 0, 0, 0, 4, 1, 5, 3, 1], [1, 0, 0, 0, 4, 1, 6, 1, 2], [1, 0, 0, 0, 4, 2, 2, 6, 0], [1, 0, 0, 0, 4, 2, 3, 4, 1], [1, 0, 0, 0, 4, 2, 4, 2, 2], [1, 0, 0, 0, 4, 2, 5, 0, 3], [1, 0, 0, 0, 4, 3, 0, 7, 0], [1, 0, 0, 0, 4, 3, 1, 5, 1], [1, 0, 0, 0, 4, 3, 2, 3, 2], [1, 0, 0, 0, 4, 3, 3, 1, 3], [1, 0, 0, 0, 4, 4, 0, 4, 2], [1, 0, 0, 0, 4, 4, 1, 2, 3], [1, 0, 0, 0, 4, 4, 2, 0, 4], [1, 0, 0, 0, 4, 5, 0, 1, 4], [1, 0, 0, 0, 5, 0, 3, 6, 0], [1, 0, 0, 0, 5, 0, 4, 4, 1], [1, 0, 0, 0, 5, 0, 5, 2, 2], [1, 0, 0, 0, 5, 0, 6, 0, 3], [1, 0, 0, 0, 5, 1, 1, 7, 0], [1, 0, 0, 0, 5, 1, 2, 5, 1], [1, 0, 0, 0, 5, 1, 3, 3, 2], [1, 0, 0, 0, 5, 1, 4, 1, 3], [1, 0, 0, 0, 5, 2, 0, 6, 1], [1, 0, 0, 0, 5, 2, 1, 4, 2], [1, 0, 0, 0, 5, 2, 2, 2, 3], [1, 0, 0, 0, 5, 2, 3, 0, 4], [1, 0, 0, 0, 5, 3, 0, 3, 3], [1, 0, 0, 0, 5, 3, 1, 1, 4], [1, 0, 0, 0, 5, 4, 0, 0, 5], [1, 0, 0, 0, 6, 0, 0, 8, 0], [1, 0, 0, 0, 6, 0, 1, 6, 1], [1, 0, 0, 0, 6, 0, 2, 4, 2], [1, 0, 0, 0, 6, 0, 3, 2, 3], [1, 0, 0, 0, 6, 0, 4, 0, 4], [1, 0, 0, 0, 6, 1, 0, 5, 2], [1, 0, 0, 0, 6, 1, 1, 3, 3], [1, 0, 0, 0, 6, 1, 2, 1, 4], [1, 0, 0, 0, 6, 2, 0, 2, 4], [1, 0, 0, 0, 6, 2, 1, 0, 5], [1, 0, 0, 0, 7, 0, 0, 4, 3], [1, 0, 0, 0, 7, 0, 1, 2, 4], [1, 0, 0, 0, 7, 0, 2, 0, 5], [1, 0, 0, 0, 7, 1, 0, 1, 5], [1, 0, 0, 0, 8, 0, 0, 0, 6], [1, 0, 0, 1, 0, 1, 12, 0, 0], [1, 0, 0, 1, 0, 2, 10, 1, 0], [1, 0, 0, 1, 0, 3, 8, 2, 0], [1, 0, 0, 1, 0, 3, 9, 0, 1], [1, 0, 0, 1, 0, 4, 6, 3, 0], [1, 0, 0, 1, 0, 4, 7, 1, 1], [1, 0, 0, 1, 0, 5, 4, 4, 0], [1, 0, 0, 1, 0, 5, 5, 2, 1], [1, 0, 0, 1, 0, 5, 6, 0, 2], [1, 0, 0, 1, 0, 6, 2, 5, 0], [1, 0, 0, 1, 0, 6, 3, 3, 1], [1, 0, 0, 1, 0, 6, 4, 1, 2], [1, 0, 0, 1, 0, 7, 0, 6, 0], [1, 0, 0, 1, 0, 7, 1, 4, 1], [1, 0, 0, 1, 0, 7, 2, 2, 2], [1, 0, 0, 1, 0, 7, 3, 0, 3], [1, 0, 0, 1, 0, 8, 0, 3, 2], [1, 0, 0, 1, 0, 8, 1, 1, 3], [1, 0, 0, 1, 0, 9, 0, 0, 4], [1, 0, 0, 1, 1, 0, 11, 1, 0], [1, 0, 0, 1, 1, 1, 9, 2, 0], [1, 0, 0, 1, 1, 1, 10, 0, 1], [1, 0, 0, 1, 1, 2, 7, 3, 0], [1, 0, 0, 1, 1, 2, 8, 1, 1], [1, 0, 0, 1, 1, 3, 5, 4, 0], [1, 0, 0, 1, 1, 3, 6, 2, 1], [1, 0, 0, 1, 1, 3, 7, 0, 2], [1, 0, 0, 1, 1, 4, 3, 5, 0], [1, 0, 0, 1, 1, 4, 4, 3, 1], [1, 0, 0, 1, 1, 4, 5, 1, 2], [1, 0, 0, 1, 1, 5, 1, 6, 0], [1, 0, 0, 1, 1, 5, 2, 4, 1], [1, 0, 0, 1, 1, 5, 3, 2, 2], [1, 0, 0, 1, 1, 5, 4, 0, 3], [1, 0, 0, 1, 1, 6, 0, 5, 1], [1, 0, 0, 1, 1, 6, 1, 3, 2], [1, 0, 0, 1, 1, 6, 2, 1, 3], [1, 0, 0, 1, 1, 7, 0, 2, 3], [1, 0, 0, 1, 1, 7, 1, 0, 4], [1, 0, 0, 1, 2, 0, 8, 3, 0], [1, 0, 0, 1, 2, 0, 9, 1, 1], [1, 0, 0, 1, 2, 1, 6, 4, 0], [1, 0, 0, 1, 2, 1, 7, 2, 1], [1, 0, 0, 1, 2, 1, 8, 0, 2], [1, 0, 0, 1, 2, 2, 4, 5, 0], [1, 0, 0, 1, 2, 2, 5, 3, 1], [1, 0, 0, 1, 2, 2, 6, 1, 2], [1, 0, 0, 1, 2, 3, 2, 6, 0], [1, 0, 0, 1, 2, 3, 3, 4, 1], [1, 0, 0, 1, 2, 3, 4, 2, 2], [1, 0, 0, 1, 2, 3, 5, 0, 3], [1, 0, 0, 1, 2, 4, 0, 7, 0], [1, 0, 0, 1, 2, 4, 1, 5, 1], [1, 0, 0, 1, 2, 4, 2, 3, 2], [1, 0, 0, 1, 2, 4, 3, 1, 3], [1, 0, 0, 1, 2, 5, 0, 4, 2], [1, 0, 0, 1, 2, 5, 1, 2, 3], [1, 0, 0, 1, 2, 5, 2, 0, 4], [1, 0, 0, 1, 2, 6, 0, 1, 4], [1, 0, 0, 1, 3, 0, 5, 5, 0], [1, 0, 0, 1, 3, 0, 6, 3, 1], [1, 0, 0, 1, 3, 0, 7, 1, 2], [1, 0, 0, 1, 3, 1, 3, 6, 0], [1, 0, 0, 1, 3, 1, 4, 4, 1], [1, 0, 0, 1, 3, 1, 5, 2, 2], [1, 0, 0, 1, 3, 1, 6, 0, 3], [1, 0, 0, 1, 3, 2, 1, 7, 0], [1, 0, 0, 1, 3, 2, 2, 5, 1], [1, 0, 0, 1, 3, 2, 3, 3, 2], [1, 0, 0, 1, 3, 2, 4, 1, 3], [1, 0, 0, 1, 3, 3, 0, 6, 1], [1, 0, 0, 1, 3, 3, 1, 4, 2], [1, 0, 0, 1, 3, 3, 2, 2, 3], [1, 0, 0, 1, 3, 3, 3, 0, 4], [1, 0, 0, 1, 3, 4, 0, 3, 3], [1, 0, 0, 1, 3, 4, 1, 1, 4], [1, 0, 0, 1, 3, 5, 0, 0, 5], [1, 0, 0, 1, 4, 0, 2, 7, 0], [1, 0, 0, 1, 4, 0, 3, 5, 1], [1, 0, 0, 1, 4, 0, 4, 3, 2], [1, 0, 0, 1, 4, 0, 5, 1, 3], [1, 0, 0, 1, 4, 1, 0, 8, 0], [1, 0, 0, 1, 4, 1, 1, 6, 1], [1, 0, 0, 1, 4, 1, 2, 4, 2], [1, 0, 0, 1, 4, 1, 3, 2, 3], [1, 0, 0, 1, 4, 1, 4, 0, 4], [1, 0, 0, 1, 4, 2, 0, 5, 2], [1, 0, 0, 1, 4, 2, 1, 3, 3], [1, 0, 0, 1, 4, 2, 2, 1, 4], [1, 0, 0, 1, 4, 3, 0, 2, 4], [1, 0, 0, 1, 4, 3, 1, 0, 5], [1, 0, 0, 1, 5, 0, 0, 7, 1], [1, 0, 0, 1, 5, 0, 1, 5, 2], [1, 0, 0, 1, 5, 0, 2, 3, 3], [1, 0, 0, 1, 5, 0, 3, 1, 4], [1, 0, 0, 1, 5, 1, 0, 4, 3], [1, 0, 0, 1, 5, 1, 1, 2, 4], [1, 0, 0, 1, 5, 1, 2, 0, 5], [1, 0, 0, 1, 5, 2, 0, 1, 5], [1, 0, 0, 1, 6, 0, 0, 3, 4], [1, 0, 0, 1, 6, 0, 1, 1, 5], [1, 0, 0, 1, 6, 1, 0, 0, 6], [1, 0, 0, 2, 0, 0, 10, 2, 0], [1, 0, 0, 2, 0, 0, 11, 0, 1], [1, 0, 0, 2, 0, 1, 8, 3, 0], [1, 0, 0, 2, 0, 1, 9, 1, 1], [1, 0, 0, 2, 0, 2, 6, 4, 0], [1, 0, 0, 2, 0, 2, 7, 2, 1], [1, 0, 0, 2, 0, 2, 8, 0, 2], [1, 0, 0, 2, 0, 3, 4, 5, 0], [1, 0, 0, 2, 0, 3, 5, 3, 1], [1, 0, 0, 2, 0, 3, 6, 1, 2], [1, 0, 0, 2, 0, 4, 2, 6, 0], [1, 0, 0, 2, 0, 4, 3, 4, 1], [1, 0, 0, 2, 0, 4, 4, 2, 2], [1, 0, 0, 2, 0, 4, 5, 0, 3], [1, 0, 0, 2, 0, 5, 0, 7, 0], [1, 0, 0, 2, 0, 5, 1, 5, 1], [1, 0, 0, 2, 0, 5, 2, 3, 2], [1, 0, 0, 2, 0, 5, 3, 1, 3], [1, 0, 0, 2, 0, 6, 0, 4, 2], [1, 0, 0, 2, 0, 6, 1, 2, 3], [1, 0, 0, 2, 0, 6, 2, 0, 4], [1, 0, 0, 2, 0, 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(9, 15, 1) has 5061 possible DDs: {[1, 0, 0, 0, 0, 0, 8, 6, 0, 0], [1, 0, 0, 0, 0, 0, 9, 4, 1, 0], [1, 0, 0, 0, 0, 0, 10, 2, 2, 0], [1, 0, 0, 0, 0, 0, 10, 3, 0, 1], [1, 0, 0, 0, 0, 0, 11, 0, 3, 0], [1, 0, 0, 0, 0, 0, 11, 1, 1, 1], [1, 0, 0, 0, 0, 0, 12, 0, 0, 2], [1, 0, 0, 0, 0, 1, 6, 7, 0, 0], [1, 0, 0, 0, 0, 1, 7, 5, 1, 0], [1, 0, 0, 0, 0, 1, 8, 3, 2, 0], [1, 0, 0, 0, 0, 1, 8, 4, 0, 1], [1, 0, 0, 0, 0, 1, 9, 1, 3, 0], [1, 0, 0, 0, 0, 1, 9, 2, 1, 1], [1, 0, 0, 0, 0, 1, 10, 0, 2, 1], [1, 0, 0, 0, 0, 1, 10, 1, 0, 2], [1, 0, 0, 0, 0, 2, 4, 8, 0, 0], [1, 0, 0, 0, 0, 2, 5, 6, 1, 0], [1, 0, 0, 0, 0, 2, 6, 4, 2, 0], [1, 0, 0, 0, 0, 2, 6, 5, 0, 1], [1, 0, 0, 0, 0, 2, 7, 2, 3, 0], [1, 0, 0, 0, 0, 2, 7, 3, 1, 1], [1, 0, 0, 0, 0, 2, 8, 0, 4, 0], [1, 0, 0, 0, 0, 2, 8, 1, 2, 1], [1, 0, 0, 0, 0, 2, 8, 2, 0, 2], [1, 0, 0, 0, 0, 2, 9, 0, 1, 2], [1, 0, 0, 0, 0, 3, 2, 9, 0, 0], [1, 0, 0, 0, 0, 3, 3, 7, 1, 0], [1, 0, 0, 0, 0, 3, 4, 5, 2, 0], [1, 0, 0, 0, 0, 3, 4, 6, 0, 1], [1, 0, 0, 0, 0, 3, 5, 3, 3, 0], [1, 0, 0, 0, 0, 3, 5, 4, 1, 1], [1, 0, 0, 0, 0, 3, 6, 1, 4, 0], [1, 0, 0, 0, 0, 3, 6, 2, 2, 1], [1, 0, 0, 0, 0, 3, 6, 3, 0, 2], [1, 0, 0, 0, 0, 3, 7, 0, 3, 1], [1, 0, 0, 0, 0, 3, 7, 1, 1, 2], [1, 0, 0, 0, 0, 3, 8, 0, 0, 3], [1, 0, 0, 0, 0, 4, 0, 10, 0, 0], [1, 0, 0, 0, 0, 4, 1, 8, 1, 0], [1, 0, 0, 0, 0, 4, 2, 6, 2, 0], [1, 0, 0, 0, 0, 4, 2, 7, 0, 1], [1, 0, 0, 0, 0, 4, 3, 4, 3, 0], [1, 0, 0, 0, 0, 4, 3, 5, 1, 1], [1, 0, 0, 0, 0, 4, 4, 2, 4, 0], [1, 0, 0, 0, 0, 4, 4, 3, 2, 1], [1, 0, 0, 0, 0, 4, 4, 4, 0, 2], [1, 0, 0, 0, 0, 4, 5, 0, 5, 0], [1, 0, 0, 0, 0, 4, 5, 1, 3, 1], [1, 0, 0, 0, 0, 4, 5, 2, 1, 2], [1, 0, 0, 0, 0, 4, 6, 0, 2, 2], [1, 0, 0, 0, 0, 4, 6, 1, 0, 3], [1, 0, 0, 0, 0, 5, 0, 7, 2, 0], [1, 0, 0, 0, 0, 5, 0, 8, 0, 1], [1, 0, 0, 0, 0, 5, 1, 5, 3, 0], [1, 0, 0, 0, 0, 5, 1, 6, 1, 1], [1, 0, 0, 0, 0, 5, 2, 3, 4, 0], [1, 0, 0, 0, 0, 5, 2, 4, 2, 1], [1, 0, 0, 0, 0, 5, 2, 5, 0, 2], [1, 0, 0, 0, 0, 5, 3, 1, 5, 0], [1, 0, 0, 0, 0, 5, 3, 2, 3, 1], [1, 0, 0, 0, 0, 5, 3, 3, 1, 2], [1, 0, 0, 0, 0, 5, 4, 0, 4, 1], [1, 0, 0, 0, 0, 5, 4, 1, 2, 2], [1, 0, 0, 0, 0, 5, 4, 2, 0, 3], [1, 0, 0, 0, 0, 5, 5, 0, 1, 3], [1, 0, 0, 0, 0, 6, 0, 4, 4, 0], [1, 0, 0, 0, 0, 6, 0, 5, 2, 1], [1, 0, 0, 0, 0, 6, 0, 6, 0, 2], [1, 0, 0, 0, 0, 6, 1, 2, 5, 0], [1, 0, 0, 0, 0, 6, 1, 3, 3, 1], [1, 0, 0, 0, 0, 6, 1, 4, 1, 2], [1, 0, 0, 0, 0, 6, 2, 0, 6, 0], [1, 0, 0, 0, 0, 6, 2, 1, 4, 1], [1, 0, 0, 0, 0, 6, 2, 2, 2, 2], [1, 0, 0, 0, 0, 6, 2, 3, 0, 3], [1, 0, 0, 0, 0, 6, 3, 0, 3, 2], [1, 0, 0, 0, 0, 6, 3, 1, 1, 3], [1, 0, 0, 0, 0, 6, 4, 0, 0, 4], [1, 0, 0, 0, 0, 7, 0, 1, 6, 0], [1, 0, 0, 0, 0, 7, 0, 2, 4, 1], [1, 0, 0, 0, 0, 7, 0, 3, 2, 2], [1, 0, 0, 0, 0, 7, 0, 4, 0, 3], [1, 0, 0, 0, 0, 7, 1, 0, 5, 1], [1, 0, 0, 0, 0, 7, 1, 1, 3, 2], [1, 0, 0, 0, 0, 7, 1, 2, 1, 3], [1, 0, 0, 0, 0, 7, 2, 0, 2, 3], [1, 0, 0, 0, 0, 7, 2, 1, 0, 4], [1, 0, 0, 0, 0, 8, 0, 0, 4, 2], [1, 0, 0, 0, 0, 8, 0, 1, 2, 3], [1, 0, 0, 0, 0, 8, 0, 2, 0, 4], [1, 0, 0, 0, 0, 8, 1, 0, 1, 4], [1, 0, 0, 0, 0, 9, 0, 0, 0, 5], [1, 0, 0, 0, 1, 0, 5, 8, 0, 0], [1, 0, 0, 0, 1, 0, 6, 6, 1, 0], [1, 0, 0, 0, 1, 0, 7, 4, 2, 0], [1, 0, 0, 0, 1, 0, 7, 5, 0, 1], [1, 0, 0, 0, 1, 0, 8, 2, 3, 0], [1, 0, 0, 0, 1, 0, 8, 3, 1, 1], [1, 0, 0, 0, 1, 0, 9, 0, 4, 0], [1, 0, 0, 0, 1, 0, 9, 1, 2, 1], [1, 0, 0, 0, 1, 0, 9, 2, 0, 2], [1, 0, 0, 0, 1, 0, 10, 0, 1, 2], [1, 0, 0, 0, 1, 1, 3, 9, 0, 0], [1, 0, 0, 0, 1, 1, 4, 7, 1, 0], [1, 0, 0, 0, 1, 1, 5, 5, 2, 0], [1, 0, 0, 0, 1, 1, 5, 6, 0, 1], [1, 0, 0, 0, 1, 1, 6, 3, 3, 0], [1, 0, 0, 0, 1, 1, 6, 4, 1, 1], [1, 0, 0, 0, 1, 1, 7, 1, 4, 0], [1, 0, 0, 0, 1, 1, 7, 2, 2, 1], [1, 0, 0, 0, 1, 1, 7, 3, 0, 2], [1, 0, 0, 0, 1, 1, 8, 0, 3, 1], [1, 0, 0, 0, 1, 1, 8, 1, 1, 2], [1, 0, 0, 0, 1, 1, 9, 0, 0, 3], [1, 0, 0, 0, 1, 2, 1, 10, 0, 0], [1, 0, 0, 0, 1, 2, 2, 8, 1, 0], [1, 0, 0, 0, 1, 2, 3, 6, 2, 0], [1, 0, 0, 0, 1, 2, 3, 7, 0, 1], [1, 0, 0, 0, 1, 2, 4, 4, 3, 0], [1, 0, 0, 0, 1, 2, 4, 5, 1, 1], [1, 0, 0, 0, 1, 2, 5, 2, 4, 0], [1, 0, 0, 0, 1, 2, 5, 3, 2, 1], [1, 0, 0, 0, 1, 2, 5, 4, 0, 2], [1, 0, 0, 0, 1, 2, 6, 0, 5, 0], [1, 0, 0, 0, 1, 2, 6, 1, 3, 1], [1, 0, 0, 0, 1, 2, 6, 2, 1, 2], [1, 0, 0, 0, 1, 2, 7, 0, 2, 2], [1, 0, 0, 0, 1, 2, 7, 1, 0, 3], [1, 0, 0, 0, 1, 3, 0, 9, 1, 0], [1, 0, 0, 0, 1, 3, 1, 7, 2, 0], [1, 0, 0, 0, 1, 3, 1, 8, 0, 1], [1, 0, 0, 0, 1, 3, 2, 5, 3, 0], [1, 0, 0, 0, 1, 3, 2, 6, 1, 1], [1, 0, 0, 0, 1, 3, 3, 3, 4, 0], [1, 0, 0, 0, 1, 3, 3, 4, 2, 1], [1, 0, 0, 0, 1, 3, 3, 5, 0, 2], [1, 0, 0, 0, 1, 3, 4, 1, 5, 0], [1, 0, 0, 0, 1, 3, 4, 2, 3, 1], [1, 0, 0, 0, 1, 3, 4, 3, 1, 2], [1, 0, 0, 0, 1, 3, 5, 0, 4, 1], [1, 0, 0, 0, 1, 3, 5, 1, 2, 2], [1, 0, 0, 0, 1, 3, 5, 2, 0, 3], [1, 0, 0, 0, 1, 3, 6, 0, 1, 3], [1, 0, 0, 0, 1, 4, 0, 6, 3, 0], [1, 0, 0, 0, 1, 4, 0, 7, 1, 1], [1, 0, 0, 0, 1, 4, 1, 4, 4, 0], [1, 0, 0, 0, 1, 4, 1, 5, 2, 1], [1, 0, 0, 0, 1, 4, 1, 6, 0, 2], [1, 0, 0, 0, 1, 4, 2, 2, 5, 0], [1, 0, 0, 0, 1, 4, 2, 3, 3, 1], [1, 0, 0, 0, 1, 4, 2, 4, 1, 2], [1, 0, 0, 0, 1, 4, 3, 0, 6, 0], [1, 0, 0, 0, 1, 4, 3, 1, 4, 1], [1, 0, 0, 0, 1, 4, 3, 2, 2, 2], [1, 0, 0, 0, 1, 4, 3, 3, 0, 3], [1, 0, 0, 0, 1, 4, 4, 0, 3, 2], [1, 0, 0, 0, 1, 4, 4, 1, 1, 3], [1, 0, 0, 0, 1, 4, 5, 0, 0, 4], [1, 0, 0, 0, 1, 5, 0, 3, 5, 0], [1, 0, 0, 0, 1, 5, 0, 4, 3, 1], [1, 0, 0, 0, 1, 5, 0, 5, 1, 2], [1, 0, 0, 0, 1, 5, 1, 1, 6, 0], [1, 0, 0, 0, 1, 5, 1, 2, 4, 1], [1, 0, 0, 0, 1, 5, 1, 3, 2, 2], [1, 0, 0, 0, 1, 5, 1, 4, 0, 3], [1, 0, 0, 0, 1, 5, 2, 0, 5, 1], [1, 0, 0, 0, 1, 5, 2, 1, 3, 2], [1, 0, 0, 0, 1, 5, 2, 2, 1, 3], [1, 0, 0, 0, 1, 5, 3, 0, 2, 3], [1, 0, 0, 0, 1, 5, 3, 1, 0, 4], [1, 0, 0, 0, 1, 6, 0, 0, 7, 0], [1, 0, 0, 0, 1, 6, 0, 1, 5, 1], [1, 0, 0, 0, 1, 6, 0, 2, 3, 2], [1, 0, 0, 0, 1, 6, 0, 3, 1, 3], [1, 0, 0, 0, 1, 6, 1, 0, 4, 2], [1, 0, 0, 0, 1, 6, 1, 1, 2, 3], [1, 0, 0, 0, 1, 6, 1, 2, 0, 4], [1, 0, 0, 0, 1, 6, 2, 0, 1, 4], [1, 0, 0, 0, 1, 7, 0, 0, 3, 3], [1, 0, 0, 0, 1, 7, 0, 1, 1, 4], [1, 0, 0, 0, 1, 7, 1, 0, 0, 5], [1, 0, 0, 0, 2, 0, 2, 10, 0, 0], [1, 0, 0, 0, 2, 0, 3, 8, 1, 0], [1, 0, 0, 0, 2, 0, 4, 6, 2, 0], [1, 0, 0, 0, 2, 0, 4, 7, 0, 1], [1, 0, 0, 0, 2, 0, 5, 4, 3, 0], [1, 0, 0, 0, 2, 0, 5, 5, 1, 1], [1, 0, 0, 0, 2, 0, 6, 2, 4, 0], [1, 0, 0, 0, 2, 0, 6, 3, 2, 1], [1, 0, 0, 0, 2, 0, 6, 4, 0, 2], [1, 0, 0, 0, 2, 0, 7, 0, 5, 0], [1, 0, 0, 0, 2, 0, 7, 1, 3, 1], [1, 0, 0, 0, 2, 0, 7, 2, 1, 2], [1, 0, 0, 0, 2, 0, 8, 0, 2, 2], [1, 0, 0, 0, 2, 0, 8, 1, 0, 3], [1, 0, 0, 0, 2, 1, 0, 11, 0, 0], [1, 0, 0, 0, 2, 1, 1, 9, 1, 0], [1, 0, 0, 0, 2, 1, 2, 7, 2, 0], [1, 0, 0, 0, 2, 1, 2, 8, 0, 1], [1, 0, 0, 0, 2, 1, 3, 5, 3, 0], [1, 0, 0, 0, 2, 1, 3, 6, 1, 1], [1, 0, 0, 0, 2, 1, 4, 3, 4, 0], [1, 0, 0, 0, 2, 1, 4, 4, 2, 1], [1, 0, 0, 0, 2, 1, 4, 5, 0, 2], [1, 0, 0, 0, 2, 1, 5, 1, 5, 0], [1, 0, 0, 0, 2, 1, 5, 2, 3, 1], [1, 0, 0, 0, 2, 1, 5, 3, 1, 2], [1, 0, 0, 0, 2, 1, 6, 0, 4, 1], [1, 0, 0, 0, 2, 1, 6, 1, 2, 2], [1, 0, 0, 0, 2, 1, 6, 2, 0, 3], [1, 0, 0, 0, 2, 1, 7, 0, 1, 3], [1, 0, 0, 0, 2, 2, 0, 8, 2, 0], [1, 0, 0, 0, 2, 2, 0, 9, 0, 1], [1, 0, 0, 0, 2, 2, 1, 6, 3, 0], [1, 0, 0, 0, 2, 2, 1, 7, 1, 1], [1, 0, 0, 0, 2, 2, 2, 4, 4, 0], [1, 0, 0, 0, 2, 2, 2, 5, 2, 1], [1, 0, 0, 0, 2, 2, 2, 6, 0, 2], [1, 0, 0, 0, 2, 2, 3, 2, 5, 0], [1, 0, 0, 0, 2, 2, 3, 3, 3, 1], [1, 0, 0, 0, 2, 2, 3, 4, 1, 2], [1, 0, 0, 0, 2, 2, 4, 0, 6, 0], [1, 0, 0, 0, 2, 2, 4, 1, 4, 1], [1, 0, 0, 0, 2, 2, 4, 2, 2, 2], [1, 0, 0, 0, 2, 2, 4, 3, 0, 3], [1, 0, 0, 0, 2, 2, 5, 0, 3, 2], [1, 0, 0, 0, 2, 2, 5, 1, 1, 3], [1, 0, 0, 0, 2, 2, 6, 0, 0, 4], [1, 0, 0, 0, 2, 3, 0, 5, 4, 0], [1, 0, 0, 0, 2, 3, 0, 6, 2, 1], [1, 0, 0, 0, 2, 3, 0, 7, 0, 2], [1, 0, 0, 0, 2, 3, 1, 3, 5, 0], [1, 0, 0, 0, 2, 3, 1, 4, 3, 1], [1, 0, 0, 0, 2, 3, 1, 5, 1, 2], [1, 0, 0, 0, 2, 3, 2, 1, 6, 0], [1, 0, 0, 0, 2, 3, 2, 2, 4, 1], [1, 0, 0, 0, 2, 3, 2, 3, 2, 2], [1, 0, 0, 0, 2, 3, 2, 4, 0, 3], [1, 0, 0, 0, 2, 3, 3, 0, 5, 1], [1, 0, 0, 0, 2, 3, 3, 1, 3, 2], [1, 0, 0, 0, 2, 3, 3, 2, 1, 3], [1, 0, 0, 0, 2, 3, 4, 0, 2, 3], [1, 0, 0, 0, 2, 3, 4, 1, 0, 4], [1, 0, 0, 0, 2, 4, 0, 2, 6, 0], [1, 0, 0, 0, 2, 4, 0, 3, 4, 1], [1, 0, 0, 0, 2, 4, 0, 4, 2, 2], [1, 0, 0, 0, 2, 4, 0, 5, 0, 3], [1, 0, 0, 0, 2, 4, 1, 0, 7, 0], [1, 0, 0, 0, 2, 4, 1, 1, 5, 1], [1, 0, 0, 0, 2, 4, 1, 2, 3, 2], [1, 0, 0, 0, 2, 4, 1, 3, 1, 3], [1, 0, 0, 0, 2, 4, 2, 0, 4, 2], [1, 0, 0, 0, 2, 4, 2, 1, 2, 3], [1, 0, 0, 0, 2, 4, 2, 2, 0, 4], [1, 0, 0, 0, 2, 4, 3, 0, 1, 4], [1, 0, 0, 0, 2, 5, 0, 0, 6, 1], [1, 0, 0, 0, 2, 5, 0, 1, 4, 2], [1, 0, 0, 0, 2, 5, 0, 2, 2, 3], [1, 0, 0, 0, 2, 5, 0, 3, 0, 4], [1, 0, 0, 0, 2, 5, 1, 0, 3, 3], [1, 0, 0, 0, 2, 5, 1, 1, 1, 4], [1, 0, 0, 0, 2, 5, 2, 0, 0, 5], [1, 0, 0, 0, 2, 6, 0, 0, 2, 4], [1, 0, 0, 0, 2, 6, 0, 1, 0, 5], [1, 0, 0, 0, 3, 0, 0, 10, 1, 0], [1, 0, 0, 0, 3, 0, 1, 8, 2, 0], [1, 0, 0, 0, 3, 0, 1, 9, 0, 1], [1, 0, 0, 0, 3, 0, 2, 6, 3, 0], [1, 0, 0, 0, 3, 0, 2, 7, 1, 1], [1, 0, 0, 0, 3, 0, 3, 4, 4, 0], [1, 0, 0, 0, 3, 0, 3, 5, 2, 1], [1, 0, 0, 0, 3, 0, 3, 6, 0, 2], [1, 0, 0, 0, 3, 0, 4, 2, 5, 0], [1, 0, 0, 0, 3, 0, 4, 3, 3, 1], [1, 0, 0, 0, 3, 0, 4, 4, 1, 2], [1, 0, 0, 0, 3, 0, 5, 0, 6, 0], [1, 0, 0, 0, 3, 0, 5, 1, 4, 1], [1, 0, 0, 0, 3, 0, 5, 2, 2, 2], [1, 0, 0, 0, 3, 0, 5, 3, 0, 3], [1, 0, 0, 0, 3, 0, 6, 0, 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