------- (15, 12, 1) ALL distance distributions (1, 12, 1) has 1 possible DDs: {[4, 8]} (2, 12, 1) has 5 possible DDs: {[0, 8, 4], [1, 6, 5], [2, 4, 6], [3, 2, 7], [4, 0, 8]} (3, 12, 1) has 19 possible DDs: {[0, 0, 12, 0], [0, 1, 10, 1], [0, 2, 8, 2], [0, 3, 6, 3], [0, 4, 4, 4], [0, 5, 2, 5], [0, 6, 0, 6], [1, 0, 9, 2], [1, 1, 7, 3], [1, 2, 5, 4], [1, 3, 3, 5], [1, 4, 1, 6], [2, 0, 6, 4], [2, 1, 4, 5], [2, 2, 2, 6], [2, 3, 0, 7], [3, 0, 3, 6], [3, 1, 1, 7], [4, 0, 0, 8]} (4, 12, 1) has 57 possible DDs: {[0, 0, 4, 8, 0], [0, 0, 5, 6, 1], [0, 0, 6, 4, 2], [0, 0, 7, 2, 3], [0, 0, 8, 0, 4], [0, 1, 2, 9, 0], [0, 1, 3, 7, 1], [0, 1, 4, 5, 2], [0, 1, 5, 3, 3], [0, 1, 6, 1, 4], [0, 2, 0, 10, 0], [0, 2, 1, 8, 1], [0, 2, 2, 6, 2], [0, 2, 3, 4, 3], [0, 2, 4, 2, 4], [0, 2, 5, 0, 5], [0, 3, 0, 7, 2], [0, 3, 1, 5, 3], [0, 3, 2, 3, 4], [0, 3, 3, 1, 5], [0, 4, 0, 4, 4], [0, 4, 1, 2, 5], [0, 4, 2, 0, 6], [0, 5, 0, 1, 6], [1, 0, 1, 10, 0], [1, 0, 2, 8, 1], [1, 0, 3, 6, 2], [1, 0, 4, 4, 3], [1, 0, 5, 2, 4], [1, 0, 6, 0, 5], [1, 1, 0, 9, 1], [1, 1, 1, 7, 2], [1, 1, 2, 5, 3], [1, 1, 3, 3, 4], [1, 1, 4, 1, 5], [1, 2, 0, 6, 3], [1, 2, 1, 4, 4], [1, 2, 2, 2, 5], [1, 2, 3, 0, 6], [1, 3, 0, 3, 5], [1, 3, 1, 1, 6], [1, 4, 0, 0, 7], [2, 0, 0, 8, 2], [2, 0, 1, 6, 3], [2, 0, 2, 4, 4], [2, 0, 3, 2, 5], [2, 0, 4, 0, 6], [2, 1, 0, 5, 4], [2, 1, 1, 3, 5], [2, 1, 2, 1, 6], [2, 2, 0, 2, 6], [2, 2, 1, 0, 7], [3, 0, 0, 4, 5], [3, 0, 1, 2, 6], [3, 0, 2, 0, 7], [3, 1, 0, 1, 7], [4, 0, 0, 0, 8]} (5, 12, 1) has 154 possible DDs: {[0, 0, 0, 8, 4, 0], [0, 0, 0, 9, 2, 1], [0, 0, 0, 10, 0, 2], [0, 0, 1, 6, 5, 0], [0, 0, 1, 7, 3, 1], [0, 0, 1, 8, 1, 2], [0, 0, 2, 4, 6, 0], [0, 0, 2, 5, 4, 1], [0, 0, 2, 6, 2, 2], [0, 0, 2, 7, 0, 3], [0, 0, 3, 2, 7, 0], [0, 0, 3, 3, 5, 1], [0, 0, 3, 4, 3, 2], [0, 0, 3, 5, 1, 3], [0, 0, 4, 0, 8, 0], [0, 0, 4, 1, 6, 1], [0, 0, 4, 2, 4, 2], [0, 0, 4, 3, 2, 3], [0, 0, 4, 4, 0, 4], [0, 0, 5, 0, 5, 2], [0, 0, 5, 1, 3, 3], [0, 0, 5, 2, 1, 4], [0, 0, 6, 0, 2, 4], [0, 0, 6, 1, 0, 5], [0, 1, 0, 5, 6, 0], [0, 1, 0, 6, 4, 1], [0, 1, 0, 7, 2, 2], [0, 1, 0, 8, 0, 3], [0, 1, 1, 3, 7, 0], [0, 1, 1, 4, 5, 1], [0, 1, 1, 5, 3, 2], [0, 1, 1, 6, 1, 3], [0, 1, 2, 1, 8, 0], [0, 1, 2, 2, 6, 1], [0, 1, 2, 3, 4, 2], [0, 1, 2, 4, 2, 3], [0, 1, 2, 5, 0, 4], [0, 1, 3, 0, 7, 1], [0, 1, 3, 1, 5, 2], [0, 1, 3, 2, 3, 3], [0, 1, 3, 3, 1, 4], [0, 1, 4, 0, 4, 3], [0, 1, 4, 1, 2, 4], [0, 1, 4, 2, 0, 5], [0, 1, 5, 0, 1, 5], [0, 2, 0, 2, 8, 0], [0, 2, 0, 3, 6, 1], [0, 2, 0, 4, 4, 2], [0, 2, 0, 5, 2, 3], [0, 2, 0, 6, 0, 4], [0, 2, 1, 0, 9, 0], [0, 2, 1, 1, 7, 1], [0, 2, 1, 2, 5, 2], [0, 2, 1, 3, 3, 3], [0, 2, 1, 4, 1, 4], [0, 2, 2, 0, 6, 2], [0, 2, 2, 1, 4, 3], [0, 2, 2, 2, 2, 4], [0, 2, 2, 3, 0, 5], [0, 2, 3, 0, 3, 4], [0, 2, 3, 1, 1, 5], [0, 2, 4, 0, 0, 6], [0, 3, 0, 0, 8, 1], [0, 3, 0, 1, 6, 2], [0, 3, 0, 2, 4, 3], [0, 3, 0, 3, 2, 4], [0, 3, 0, 4, 0, 5], [0, 3, 1, 0, 5, 3], [0, 3, 1, 1, 3, 4], [0, 3, 1, 2, 1, 5], [0, 3, 2, 0, 2, 5], [0, 3, 2, 1, 0, 6], [0, 4, 0, 0, 4, 4], [0, 4, 0, 1, 2, 5], [0, 4, 0, 2, 0, 6], [0, 4, 1, 0, 1, 6], [0, 5, 0, 0, 0, 7], [1, 0, 0, 4, 7, 0], [1, 0, 0, 5, 5, 1], [1, 0, 0, 6, 3, 2], [1, 0, 0, 7, 1, 3], [1, 0, 1, 2, 8, 0], [1, 0, 1, 3, 6, 1], [1, 0, 1, 4, 4, 2], [1, 0, 1, 5, 2, 3], [1, 0, 1, 6, 0, 4], [1, 0, 2, 0, 9, 0], [1, 0, 2, 1, 7, 1], [1, 0, 2, 2, 5, 2], [1, 0, 2, 3, 3, 3], [1, 0, 2, 4, 1, 4], [1, 0, 3, 0, 6, 2], [1, 0, 3, 1, 4, 3], [1, 0, 3, 2, 2, 4], [1, 0, 3, 3, 0, 5], [1, 0, 4, 0, 3, 4], [1, 0, 4, 1, 1, 5], [1, 0, 5, 0, 0, 6], [1, 1, 0, 1, 9, 0], [1, 1, 0, 2, 7, 1], [1, 1, 0, 3, 5, 2], [1, 1, 0, 4, 3, 3], [1, 1, 0, 5, 1, 4], [1, 1, 1, 0, 8, 1], [1, 1, 1, 1, 6, 2], [1, 1, 1, 2, 4, 3], [1, 1, 1, 3, 2, 4], [1, 1, 1, 4, 0, 5], [1, 1, 2, 0, 5, 3], [1, 1, 2, 1, 3, 4], [1, 1, 2, 2, 1, 5], [1, 1, 3, 0, 2, 5], [1, 1, 3, 1, 0, 6], [1, 2, 0, 0, 7, 2], [1, 2, 0, 1, 5, 3], [1, 2, 0, 2, 3, 4], [1, 2, 0, 3, 1, 5], [1, 2, 1, 0, 4, 4], [1, 2, 1, 1, 2, 5], [1, 2, 1, 2, 0, 6], [1, 2, 2, 0, 1, 6], [1, 3, 0, 0, 3, 5], [1, 3, 0, 1, 1, 6], [1, 3, 1, 0, 0, 7], [2, 0, 0, 0, 10, 0], [2, 0, 0, 1, 8, 1], [2, 0, 0, 2, 6, 2], [2, 0, 0, 3, 4, 3], [2, 0, 0, 4, 2, 4], [2, 0, 0, 5, 0, 5], [2, 0, 1, 0, 7, 2], [2, 0, 1, 1, 5, 3], [2, 0, 1, 2, 3, 4], [2, 0, 1, 3, 1, 5], [2, 0, 2, 0, 4, 4], [2, 0, 2, 1, 2, 5], [2, 0, 2, 2, 0, 6], [2, 0, 3, 0, 1, 6], [2, 1, 0, 0, 6, 3], [2, 1, 0, 1, 4, 4], [2, 1, 0, 2, 2, 5], [2, 1, 0, 3, 0, 6], [2, 1, 1, 0, 3, 5], [2, 1, 1, 1, 1, 6], [2, 1, 2, 0, 0, 7], [2, 2, 0, 0, 2, 6], [2, 2, 0, 1, 0, 7], [3, 0, 0, 0, 5, 4], [3, 0, 0, 1, 3, 5], [3, 0, 0, 2, 1, 6], [3, 0, 1, 0, 2, 6], [3, 0, 1, 1, 0, 7], [3, 1, 0, 0, 1, 7], [4, 0, 0, 0, 0, 8]} (6, 12, 1) has 382 possible DDs: {[0, 0, 0, 0, 12, 0, 0], [0, 0, 0, 1, 10, 1, 0], [0, 0, 0, 2, 8, 2, 0], [0, 0, 0, 2, 9, 0, 1], [0, 0, 0, 3, 6, 3, 0], [0, 0, 0, 3, 7, 1, 1], [0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 4, 5, 2, 1], [0, 0, 0, 4, 6, 0, 2], [0, 0, 0, 5, 2, 5, 0], [0, 0, 0, 5, 3, 3, 1], [0, 0, 0, 5, 4, 1, 2], [0, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 1, 4, 1], [0, 0, 0, 6, 2, 2, 2], [0, 0, 0, 6, 3, 0, 3], [0, 0, 0, 7, 0, 3, 2], [0, 0, 0, 7, 1, 1, 3], [0, 0, 0, 8, 0, 0, 4], [0, 0, 1, 0, 9, 2, 0], [0, 0, 1, 0, 10, 0, 1], [0, 0, 1, 1, 7, 3, 0], [0, 0, 1, 1, 8, 1, 1], [0, 0, 1, 2, 5, 4, 0], [0, 0, 1, 2, 6, 2, 1], [0, 0, 1, 2, 7, 0, 2], [0, 0, 1, 3, 3, 5, 0], [0, 0, 1, 3, 4, 3, 1], [0, 0, 1, 3, 5, 1, 2], [0, 0, 1, 4, 1, 6, 0], [0, 0, 1, 4, 2, 4, 1], [0, 0, 1, 4, 3, 2, 2], [0, 0, 1, 4, 4, 0, 3], [0, 0, 1, 5, 0, 5, 1], [0, 0, 1, 5, 1, 3, 2], [0, 0, 1, 5, 2, 1, 3], [0, 0, 1, 6, 0, 2, 3], [0, 0, 1, 6, 1, 0, 4], [0, 0, 2, 0, 6, 4, 0], [0, 0, 2, 0, 7, 2, 1], [0, 0, 2, 0, 8, 0, 2], [0, 0, 2, 1, 4, 5, 0], [0, 0, 2, 1, 5, 3, 1], [0, 0, 2, 1, 6, 1, 2], [0, 0, 2, 2, 2, 6, 0], [0, 0, 2, 2, 3, 4, 1], [0, 0, 2, 2, 4, 2, 2], [0, 0, 2, 2, 5, 0, 3], [0, 0, 2, 3, 0, 7, 0], [0, 0, 2, 3, 1, 5, 1], [0, 0, 2, 3, 2, 3, 2], [0, 0, 2, 3, 3, 1, 3], [0, 0, 2, 4, 0, 4, 2], [0, 0, 2, 4, 1, 2, 3], [0, 0, 2, 4, 2, 0, 4], [0, 0, 2, 5, 0, 1, 4], [0, 0, 3, 0, 3, 6, 0], [0, 0, 3, 0, 4, 4, 1], [0, 0, 3, 0, 5, 2, 2], [0, 0, 3, 0, 6, 0, 3], [0, 0, 3, 1, 1, 7, 0], [0, 0, 3, 1, 2, 5, 1], [0, 0, 3, 1, 3, 3, 2], [0, 0, 3, 1, 4, 1, 3], [0, 0, 3, 2, 0, 6, 1], [0, 0, 3, 2, 1, 4, 2], [0, 0, 3, 2, 2, 2, 3], [0, 0, 3, 2, 3, 0, 4], [0, 0, 3, 3, 0, 3, 3], [0, 0, 3, 3, 1, 1, 4], [0, 0, 3, 4, 0, 0, 5], [0, 0, 4, 0, 0, 8, 0], [0, 0, 4, 0, 1, 6, 1], [0, 0, 4, 0, 2, 4, 2], [0, 0, 4, 0, 3, 2, 3], [0, 0, 4, 0, 4, 0, 4], [0, 0, 4, 1, 0, 5, 2], [0, 0, 4, 1, 1, 3, 3], [0, 0, 4, 1, 2, 1, 4], [0, 0, 4, 2, 0, 2, 4], [0, 0, 4, 2, 1, 0, 5], [0, 0, 5, 0, 0, 4, 3], [0, 0, 5, 0, 1, 2, 4], [0, 0, 5, 0, 2, 0, 5], [0, 0, 5, 1, 0, 1, 5], [0, 0, 6, 0, 0, 0, 6], [0, 1, 0, 0, 8, 3, 0], [0, 1, 0, 0, 9, 1, 1], [0, 1, 0, 1, 6, 4, 0], [0, 1, 0, 1, 7, 2, 1], [0, 1, 0, 1, 8, 0, 2], [0, 1, 0, 2, 4, 5, 0], [0, 1, 0, 2, 5, 3, 1], [0, 1, 0, 2, 6, 1, 2], [0, 1, 0, 3, 2, 6, 0], [0, 1, 0, 3, 3, 4, 1], [0, 1, 0, 3, 4, 2, 2], [0, 1, 0, 3, 5, 0, 3], [0, 1, 0, 4, 0, 7, 0], [0, 1, 0, 4, 1, 5, 1], [0, 1, 0, 4, 2, 3, 2], [0, 1, 0, 4, 3, 1, 3], [0, 1, 0, 5, 0, 4, 2], [0, 1, 0, 5, 1, 2, 3], [0, 1, 0, 5, 2, 0, 4], [0, 1, 0, 6, 0, 1, 4], [0, 1, 1, 0, 5, 5, 0], [0, 1, 1, 0, 6, 3, 1], [0, 1, 1, 0, 7, 1, 2], [0, 1, 1, 1, 3, 6, 0], [0, 1, 1, 1, 4, 4, 1], [0, 1, 1, 1, 5, 2, 2], [0, 1, 1, 1, 6, 0, 3], [0, 1, 1, 2, 1, 7, 0], [0, 1, 1, 2, 2, 5, 1], [0, 1, 1, 2, 3, 3, 2], [0, 1, 1, 2, 4, 1, 3], [0, 1, 1, 3, 0, 6, 1], [0, 1, 1, 3, 1, 4, 2], [0, 1, 1, 3, 2, 2, 3], [0, 1, 1, 3, 3, 0, 4], [0, 1, 1, 4, 0, 3, 3], [0, 1, 1, 4, 1, 1, 4], [0, 1, 1, 5, 0, 0, 5], [0, 1, 2, 0, 2, 7, 0], [0, 1, 2, 0, 3, 5, 1], [0, 1, 2, 0, 4, 3, 2], [0, 1, 2, 0, 5, 1, 3], [0, 1, 2, 1, 0, 8, 0], [0, 1, 2, 1, 1, 6, 1], [0, 1, 2, 1, 2, 4, 2], [0, 1, 2, 1, 3, 2, 3], [0, 1, 2, 1, 4, 0, 4], [0, 1, 2, 2, 0, 5, 2], [0, 1, 2, 2, 1, 3, 3], [0, 1, 2, 2, 2, 1, 4], [0, 1, 2, 3, 0, 2, 4], [0, 1, 2, 3, 1, 0, 5], [0, 1, 3, 0, 0, 7, 1], [0, 1, 3, 0, 1, 5, 2], [0, 1, 3, 0, 2, 3, 3], [0, 1, 3, 0, 3, 1, 4], [0, 1, 3, 1, 0, 4, 3], [0, 1, 3, 1, 1, 2, 4], [0, 1, 3, 1, 2, 0, 5], [0, 1, 3, 2, 0, 1, 5], [0, 1, 4, 0, 0, 3, 4], [0, 1, 4, 0, 1, 1, 5], [0, 1, 4, 1, 0, 0, 6], [0, 2, 0, 0, 4, 6, 0], [0, 2, 0, 0, 5, 4, 1], [0, 2, 0, 0, 6, 2, 2], [0, 2, 0, 0, 7, 0, 3], [0, 2, 0, 1, 2, 7, 0], [0, 2, 0, 1, 3, 5, 1], [0, 2, 0, 1, 4, 3, 2], [0, 2, 0, 1, 5, 1, 3], [0, 2, 0, 2, 0, 8, 0], [0, 2, 0, 2, 1, 6, 1], [0, 2, 0, 2, 2, 4, 2], [0, 2, 0, 2, 3, 2, 3], [0, 2, 0, 2, 4, 0, 4], [0, 2, 0, 3, 0, 5, 2], [0, 2, 0, 3, 1, 3, 3], [0, 2, 0, 3, 2, 1, 4], [0, 2, 0, 4, 0, 2, 4], [0, 2, 0, 4, 1, 0, 5], [0, 2, 1, 0, 1, 8, 0], [0, 2, 1, 0, 2, 6, 1], [0, 2, 1, 0, 3, 4, 2], [0, 2, 1, 0, 4, 2, 3], [0, 2, 1, 0, 5, 0, 4], [0, 2, 1, 1, 0, 7, 1], [0, 2, 1, 1, 1, 5, 2], [0, 2, 1, 1, 2, 3, 3], [0, 2, 1, 1, 3, 1, 4], [0, 2, 1, 2, 0, 4, 3], [0, 2, 1, 2, 1, 2, 4], [0, 2, 1, 2, 2, 0, 5], [0, 2, 1, 3, 0, 1, 5], [0, 2, 2, 0, 0, 6, 2], [0, 2, 2, 0, 1, 4, 3], [0, 2, 2, 0, 2, 2, 4], [0, 2, 2, 0, 3, 0, 5], [0, 2, 2, 1, 0, 3, 4], [0, 2, 2, 1, 1, 1, 5], [0, 2, 2, 2, 0, 0, 6], [0, 2, 3, 0, 0, 2, 5], [0, 2, 3, 0, 1, 0, 6], [0, 3, 0, 0, 0, 9, 0], [0, 3, 0, 0, 1, 7, 1], [0, 3, 0, 0, 2, 5, 2], [0, 3, 0, 0, 3, 3, 3], [0, 3, 0, 0, 4, 1, 4], [0, 3, 0, 1, 0, 6, 2], [0, 3, 0, 1, 1, 4, 3], [0, 3, 0, 1, 2, 2, 4], [0, 3, 0, 1, 3, 0, 5], [0, 3, 0, 2, 0, 3, 4], [0, 3, 0, 2, 1, 1, 5], [0, 3, 0, 3, 0, 0, 6], [0, 3, 1, 0, 0, 5, 3], [0, 3, 1, 0, 1, 3, 4], [0, 3, 1, 0, 2, 1, 5], [0, 3, 1, 1, 0, 2, 5], [0, 3, 1, 1, 1, 0, 6], [0, 3, 2, 0, 0, 1, 6], [0, 4, 0, 0, 0, 4, 4], [0, 4, 0, 0, 1, 2, 5], [0, 4, 0, 0, 2, 0, 6], [0, 4, 0, 1, 0, 1, 6], [0, 4, 1, 0, 0, 0, 7], [1, 0, 0, 0, 7, 4, 0], [1, 0, 0, 0, 8, 2, 1], [1, 0, 0, 0, 9, 0, 2], [1, 0, 0, 1, 5, 5, 0], [1, 0, 0, 1, 6, 3, 1], [1, 0, 0, 1, 7, 1, 2], [1, 0, 0, 2, 3, 6, 0], [1, 0, 0, 2, 4, 4, 1], [1, 0, 0, 2, 5, 2, 2], [1, 0, 0, 2, 6, 0, 3], [1, 0, 0, 3, 1, 7, 0], [1, 0, 0, 3, 2, 5, 1], [1, 0, 0, 3, 3, 3, 2], [1, 0, 0, 3, 4, 1, 3], [1, 0, 0, 4, 0, 6, 1], [1, 0, 0, 4, 1, 4, 2], [1, 0, 0, 4, 2, 2, 3], [1, 0, 0, 4, 3, 0, 4], [1, 0, 0, 5, 0, 3, 3], [1, 0, 0, 5, 1, 1, 4], [1, 0, 0, 6, 0, 0, 5], [1, 0, 1, 0, 4, 6, 0], [1, 0, 1, 0, 5, 4, 1], [1, 0, 1, 0, 6, 2, 2], [1, 0, 1, 0, 7, 0, 3], [1, 0, 1, 1, 2, 7, 0], [1, 0, 1, 1, 3, 5, 1], [1, 0, 1, 1, 4, 3, 2], [1, 0, 1, 1, 5, 1, 3], [1, 0, 1, 2, 0, 8, 0], [1, 0, 1, 2, 1, 6, 1], [1, 0, 1, 2, 2, 4, 2], [1, 0, 1, 2, 3, 2, 3], [1, 0, 1, 2, 4, 0, 4], [1, 0, 1, 3, 0, 5, 2], [1, 0, 1, 3, 1, 3, 3], [1, 0, 1, 3, 2, 1, 4], [1, 0, 1, 4, 0, 2, 4], [1, 0, 1, 4, 1, 0, 5], [1, 0, 2, 0, 1, 8, 0], [1, 0, 2, 0, 2, 6, 1], [1, 0, 2, 0, 3, 4, 2], [1, 0, 2, 0, 4, 2, 3], [1, 0, 2, 0, 5, 0, 4], [1, 0, 2, 1, 0, 7, 1], [1, 0, 2, 1, 1, 5, 2], [1, 0, 2, 1, 2, 3, 3], [1, 0, 2, 1, 3, 1, 4], [1, 0, 2, 2, 0, 4, 3], [1, 0, 2, 2, 1, 2, 4], [1, 0, 2, 2, 2, 0, 5], [1, 0, 2, 3, 0, 1, 5], [1, 0, 3, 0, 0, 6, 2], [1, 0, 3, 0, 1, 4, 3], [1, 0, 3, 0, 2, 2, 4], [1, 0, 3, 0, 3, 0, 5], [1, 0, 3, 1, 0, 3, 4], [1, 0, 3, 1, 1, 1, 5], [1, 0, 3, 2, 0, 0, 6], [1, 0, 4, 0, 0, 2, 5], [1, 0, 4, 0, 1, 0, 6], [1, 1, 0, 0, 3, 7, 0], [1, 1, 0, 0, 4, 5, 1], [1, 1, 0, 0, 5, 3, 2], [1, 1, 0, 0, 6, 1, 3], [1, 1, 0, 1, 1, 8, 0], [1, 1, 0, 1, 2, 6, 1], [1, 1, 0, 1, 3, 4, 2], [1, 1, 0, 1, 4, 2, 3], [1, 1, 0, 1, 5, 0, 4], [1, 1, 0, 2, 0, 7, 1], [1, 1, 0, 2, 1, 5, 2], [1, 1, 0, 2, 2, 3, 3], [1, 1, 0, 2, 3, 1, 4], [1, 1, 0, 3, 0, 4, 3], [1, 1, 0, 3, 1, 2, 4], [1, 1, 0, 3, 2, 0, 5], [1, 1, 0, 4, 0, 1, 5], [1, 1, 1, 0, 0, 9, 0], [1, 1, 1, 0, 1, 7, 1], [1, 1, 1, 0, 2, 5, 2], [1, 1, 1, 0, 3, 3, 3], [1, 1, 1, 0, 4, 1, 4], [1, 1, 1, 1, 0, 6, 2], [1, 1, 1, 1, 1, 4, 3], [1, 1, 1, 1, 2, 2, 4], [1, 1, 1, 1, 3, 0, 5], [1, 1, 1, 2, 0, 3, 4], [1, 1, 1, 2, 1, 1, 5], [1, 1, 1, 3, 0, 0, 6], [1, 1, 2, 0, 0, 5, 3], [1, 1, 2, 0, 1, 3, 4], [1, 1, 2, 0, 2, 1, 5], [1, 1, 2, 1, 0, 2, 5], [1, 1, 2, 1, 1, 0, 6], [1, 1, 3, 0, 0, 1, 6], [1, 2, 0, 0, 0, 8, 1], [1, 2, 0, 0, 1, 6, 2], [1, 2, 0, 0, 2, 4, 3], [1, 2, 0, 0, 3, 2, 4], [1, 2, 0, 0, 4, 0, 5], [1, 2, 0, 1, 0, 5, 3], [1, 2, 0, 1, 1, 3, 4], [1, 2, 0, 1, 2, 1, 5], [1, 2, 0, 2, 0, 2, 5], [1, 2, 0, 2, 1, 0, 6], [1, 2, 1, 0, 0, 4, 4], [1, 2, 1, 0, 1, 2, 5], [1, 2, 1, 0, 2, 0, 6], [1, 2, 1, 1, 0, 1, 6], [1, 2, 2, 0, 0, 0, 7], [1, 3, 0, 0, 0, 3, 5], [1, 3, 0, 0, 1, 1, 6], [1, 3, 0, 1, 0, 0, 7], [2, 0, 0, 0, 2, 8, 0], [2, 0, 0, 0, 3, 6, 1], [2, 0, 0, 0, 4, 4, 2], [2, 0, 0, 0, 5, 2, 3], [2, 0, 0, 0, 6, 0, 4], [2, 0, 0, 1, 0, 9, 0], [2, 0, 0, 1, 1, 7, 1], [2, 0, 0, 1, 2, 5, 2], [2, 0, 0, 1, 3, 3, 3], [2, 0, 0, 1, 4, 1, 4], [2, 0, 0, 2, 0, 6, 2], [2, 0, 0, 2, 1, 4, 3], [2, 0, 0, 2, 2, 2, 4], [2, 0, 0, 2, 3, 0, 5], [2, 0, 0, 3, 0, 3, 4], [2, 0, 0, 3, 1, 1, 5], [2, 0, 0, 4, 0, 0, 6], [2, 0, 1, 0, 0, 8, 1], [2, 0, 1, 0, 1, 6, 2], [2, 0, 1, 0, 2, 4, 3], [2, 0, 1, 0, 3, 2, 4], [2, 0, 1, 0, 4, 0, 5], [2, 0, 1, 1, 0, 5, 3], [2, 0, 1, 1, 1, 3, 4], [2, 0, 1, 1, 2, 1, 5], [2, 0, 1, 2, 0, 2, 5], [2, 0, 1, 2, 1, 0, 6], [2, 0, 2, 0, 0, 4, 4], [2, 0, 2, 0, 1, 2, 5], [2, 0, 2, 0, 2, 0, 6], [2, 0, 2, 1, 0, 1, 6], [2, 0, 3, 0, 0, 0, 7], [2, 1, 0, 0, 0, 7, 2], [2, 1, 0, 0, 1, 5, 3], [2, 1, 0, 0, 2, 3, 4], [2, 1, 0, 0, 3, 1, 5], [2, 1, 0, 1, 0, 4, 4], [2, 1, 0, 1, 1, 2, 5], [2, 1, 0, 1, 2, 0, 6], [2, 1, 0, 2, 0, 1, 6], [2, 1, 1, 0, 0, 3, 5], [2, 1, 1, 0, 1, 1, 6], [2, 1, 1, 1, 0, 0, 7], [2, 2, 0, 0, 0, 2, 6], [2, 2, 0, 0, 1, 0, 7], [3, 0, 0, 0, 0, 6, 3], [3, 0, 0, 0, 1, 4, 4], [3, 0, 0, 0, 2, 2, 5], [3, 0, 0, 0, 3, 0, 6], [3, 0, 0, 1, 0, 3, 5], [3, 0, 0, 1, 1, 1, 6], [3, 0, 0, 2, 0, 0, 7], [3, 0, 1, 0, 0, 2, 6], [3, 0, 1, 0, 1, 0, 7], [3, 1, 0, 0, 0, 1, 7], [4, 0, 0, 0, 0, 0, 8]} (7, 12, 1) has 871 possible DDs: {[0, 0, 0, 0, 4, 8, 0, 0], [0, 0, 0, 0, 5, 6, 1, 0], [0, 0, 0, 0, 6, 4, 2, 0], [0, 0, 0, 0, 6, 5, 0, 1], [0, 0, 0, 0, 7, 2, 3, 0], [0, 0, 0, 0, 7, 3, 1, 1], [0, 0, 0, 0, 8, 0, 4, 0], [0, 0, 0, 0, 8, 1, 2, 1], [0, 0, 0, 0, 8, 2, 0, 2], [0, 0, 0, 0, 9, 0, 1, 2], [0, 0, 0, 1, 2, 9, 0, 0], [0, 0, 0, 1, 3, 7, 1, 0], [0, 0, 0, 1, 4, 5, 2, 0], [0, 0, 0, 1, 4, 6, 0, 1], [0, 0, 0, 1, 5, 3, 3, 0], [0, 0, 0, 1, 5, 4, 1, 1], [0, 0, 0, 1, 6, 1, 4, 0], [0, 0, 0, 1, 6, 2, 2, 1], [0, 0, 0, 1, 6, 3, 0, 2], [0, 0, 0, 1, 7, 0, 3, 1], [0, 0, 0, 1, 7, 1, 1, 2], [0, 0, 0, 1, 8, 0, 0, 3], [0, 0, 0, 2, 0, 10, 0, 0], [0, 0, 0, 2, 1, 8, 1, 0], [0, 0, 0, 2, 2, 6, 2, 0], [0, 0, 0, 2, 2, 7, 0, 1], [0, 0, 0, 2, 3, 4, 3, 0], [0, 0, 0, 2, 3, 5, 1, 1], [0, 0, 0, 2, 4, 2, 4, 0], [0, 0, 0, 2, 4, 3, 2, 1], [0, 0, 0, 2, 4, 4, 0, 2], [0, 0, 0, 2, 5, 0, 5, 0], [0, 0, 0, 2, 5, 1, 3, 1], [0, 0, 0, 2, 5, 2, 1, 2], [0, 0, 0, 2, 6, 0, 2, 2], [0, 0, 0, 2, 6, 1, 0, 3], [0, 0, 0, 3, 0, 7, 2, 0], [0, 0, 0, 3, 0, 8, 0, 1], [0, 0, 0, 3, 1, 5, 3, 0], [0, 0, 0, 3, 1, 6, 1, 1], [0, 0, 0, 3, 2, 3, 4, 0], [0, 0, 0, 3, 2, 4, 2, 1], [0, 0, 0, 3, 2, 5, 0, 2], [0, 0, 0, 3, 3, 1, 5, 0], [0, 0, 0, 3, 3, 2, 3, 1], [0, 0, 0, 3, 3, 3, 1, 2], [0, 0, 0, 3, 4, 0, 4, 1], [0, 0, 0, 3, 4, 1, 2, 2], [0, 0, 0, 3, 4, 2, 0, 3], [0, 0, 0, 3, 5, 0, 1, 3], [0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 4, 0, 5, 2, 1], [0, 0, 0, 4, 0, 6, 0, 2], [0, 0, 0, 4, 1, 2, 5, 0], [0, 0, 0, 4, 1, 3, 3, 1], [0, 0, 0, 4, 1, 4, 1, 2], [0, 0, 0, 4, 2, 0, 6, 0], [0, 0, 0, 4, 2, 1, 4, 1], [0, 0, 0, 4, 2, 2, 2, 2], [0, 0, 0, 4, 2, 3, 0, 3], [0, 0, 0, 4, 3, 0, 3, 2], [0, 0, 0, 4, 3, 1, 1, 3], [0, 0, 0, 4, 4, 0, 0, 4], [0, 0, 0, 5, 0, 1, 6, 0], [0, 0, 0, 5, 0, 2, 4, 1], [0, 0, 0, 5, 0, 3, 2, 2], [0, 0, 0, 5, 0, 4, 0, 3], [0, 0, 0, 5, 1, 0, 5, 1], [0, 0, 0, 5, 1, 1, 3, 2], [0, 0, 0, 5, 1, 2, 1, 3], [0, 0, 0, 5, 2, 0, 2, 3], [0, 0, 0, 5, 2, 1, 0, 4], [0, 0, 0, 6, 0, 0, 4, 2], [0, 0, 0, 6, 0, 1, 2, 3], [0, 0, 0, 6, 0, 2, 0, 4], [0, 0, 0, 6, 1, 0, 1, 4], [0, 0, 0, 7, 0, 0, 0, 5], [0, 0, 1, 0, 1, 10, 0, 0], [0, 0, 1, 0, 2, 8, 1, 0], [0, 0, 1, 0, 3, 6, 2, 0], [0, 0, 1, 0, 3, 7, 0, 1], [0, 0, 1, 0, 4, 4, 3, 0], [0, 0, 1, 0, 4, 5, 1, 1], [0, 0, 1, 0, 5, 2, 4, 0], [0, 0, 1, 0, 5, 3, 2, 1], [0, 0, 1, 0, 5, 4, 0, 2], [0, 0, 1, 0, 6, 0, 5, 0], [0, 0, 1, 0, 6, 1, 3, 1], [0, 0, 1, 0, 6, 2, 1, 2], [0, 0, 1, 0, 7, 0, 2, 2], [0, 0, 1, 0, 7, 1, 0, 3], [0, 0, 1, 1, 0, 9, 1, 0], [0, 0, 1, 1, 1, 7, 2, 0], [0, 0, 1, 1, 1, 8, 0, 1], [0, 0, 1, 1, 2, 5, 3, 0], [0, 0, 1, 1, 2, 6, 1, 1], [0, 0, 1, 1, 3, 3, 4, 0], [0, 0, 1, 1, 3, 4, 2, 1], [0, 0, 1, 1, 3, 5, 0, 2], [0, 0, 1, 1, 4, 1, 5, 0], [0, 0, 1, 1, 4, 2, 3, 1], [0, 0, 1, 1, 4, 3, 1, 2], [0, 0, 1, 1, 5, 0, 4, 1], [0, 0, 1, 1, 5, 1, 2, 2], [0, 0, 1, 1, 5, 2, 0, 3], [0, 0, 1, 1, 6, 0, 1, 3], [0, 0, 1, 2, 0, 6, 3, 0], [0, 0, 1, 2, 0, 7, 1, 1], [0, 0, 1, 2, 1, 4, 4, 0], [0, 0, 1, 2, 1, 5, 2, 1], [0, 0, 1, 2, 1, 6, 0, 2], [0, 0, 1, 2, 2, 2, 5, 0], [0, 0, 1, 2, 2, 3, 3, 1], [0, 0, 1, 2, 2, 4, 1, 2], [0, 0, 1, 2, 3, 0, 6, 0], [0, 0, 1, 2, 3, 1, 4, 1], [0, 0, 1, 2, 3, 2, 2, 2], [0, 0, 1, 2, 3, 3, 0, 3], [0, 0, 1, 2, 4, 0, 3, 2], [0, 0, 1, 2, 4, 1, 1, 3], [0, 0, 1, 2, 5, 0, 0, 4], [0, 0, 1, 3, 0, 3, 5, 0], [0, 0, 1, 3, 0, 4, 3, 1], [0, 0, 1, 3, 0, 5, 1, 2], [0, 0, 1, 3, 1, 1, 6, 0], [0, 0, 1, 3, 1, 2, 4, 1], [0, 0, 1, 3, 1, 3, 2, 2], [0, 0, 1, 3, 1, 4, 0, 3], [0, 0, 1, 3, 2, 0, 5, 1], [0, 0, 1, 3, 2, 1, 3, 2], [0, 0, 1, 3, 2, 2, 1, 3], [0, 0, 1, 3, 3, 0, 2, 3], [0, 0, 1, 3, 3, 1, 0, 4], [0, 0, 1, 4, 0, 0, 7, 0], [0, 0, 1, 4, 0, 1, 5, 1], [0, 0, 1, 4, 0, 2, 3, 2], [0, 0, 1, 4, 0, 3, 1, 3], [0, 0, 1, 4, 1, 0, 4, 2], [0, 0, 1, 4, 1, 1, 2, 3], [0, 0, 1, 4, 1, 2, 0, 4], [0, 0, 1, 4, 2, 0, 1, 4], [0, 0, 1, 5, 0, 0, 3, 3], [0, 0, 1, 5, 0, 1, 1, 4], [0, 0, 1, 5, 1, 0, 0, 5], [0, 0, 2, 0, 0, 8, 2, 0], [0, 0, 2, 0, 0, 9, 0, 1], [0, 0, 2, 0, 1, 6, 3, 0], [0, 0, 2, 0, 1, 7, 1, 1], [0, 0, 2, 0, 2, 4, 4, 0], [0, 0, 2, 0, 2, 5, 2, 1], [0, 0, 2, 0, 2, 6, 0, 2], [0, 0, 2, 0, 3, 2, 5, 0], [0, 0, 2, 0, 3, 3, 3, 1], [0, 0, 2, 0, 3, 4, 1, 2], [0, 0, 2, 0, 4, 0, 6, 0], [0, 0, 2, 0, 4, 1, 4, 1], [0, 0, 2, 0, 4, 2, 2, 2], [0, 0, 2, 0, 4, 3, 0, 3], [0, 0, 2, 0, 5, 0, 3, 2], [0, 0, 2, 0, 5, 1, 1, 3], [0, 0, 2, 0, 6, 0, 0, 4], [0, 0, 2, 1, 0, 5, 4, 0], [0, 0, 2, 1, 0, 6, 2, 1], [0, 0, 2, 1, 0, 7, 0, 2], [0, 0, 2, 1, 1, 3, 5, 0], [0, 0, 2, 1, 1, 4, 3, 1], [0, 0, 2, 1, 1, 5, 1, 2], [0, 0, 2, 1, 2, 1, 6, 0], [0, 0, 2, 1, 2, 2, 4, 1], [0, 0, 2, 1, 2, 3, 2, 2], [0, 0, 2, 1, 2, 4, 0, 3], [0, 0, 2, 1, 3, 0, 5, 1], [0, 0, 2, 1, 3, 1, 3, 2], [0, 0, 2, 1, 3, 2, 1, 3], [0, 0, 2, 1, 4, 0, 2, 3], [0, 0, 2, 1, 4, 1, 0, 4], [0, 0, 2, 2, 0, 2, 6, 0], [0, 0, 2, 2, 0, 3, 4, 1], [0, 0, 2, 2, 0, 4, 2, 2], [0, 0, 2, 2, 0, 5, 0, 3], [0, 0, 2, 2, 1, 0, 7, 0], [0, 0, 2, 2, 1, 1, 5, 1], [0, 0, 2, 2, 1, 2, 3, 2], [0, 0, 2, 2, 1, 3, 1, 3], [0, 0, 2, 2, 2, 0, 4, 2], [0, 0, 2, 2, 2, 1, 2, 3], [0, 0, 2, 2, 2, 2, 0, 4], [0, 0, 2, 2, 3, 0, 1, 4], [0, 0, 2, 3, 0, 0, 6, 1], [0, 0, 2, 3, 0, 1, 4, 2], [0, 0, 2, 3, 0, 2, 2, 3], [0, 0, 2, 3, 0, 3, 0, 4], [0, 0, 2, 3, 1, 0, 3, 3], [0, 0, 2, 3, 1, 1, 1, 4], [0, 0, 2, 3, 2, 0, 0, 5], [0, 0, 2, 4, 0, 0, 2, 4], [0, 0, 2, 4, 0, 1, 0, 5], [0, 0, 3, 0, 0, 4, 5, 0], [0, 0, 3, 0, 0, 5, 3, 1], [0, 0, 3, 0, 0, 6, 1, 2], [0, 0, 3, 0, 1, 2, 6, 0], [0, 0, 3, 0, 1, 3, 4, 1], [0, 0, 3, 0, 1, 4, 2, 2], [0, 0, 3, 0, 1, 5, 0, 3], [0, 0, 3, 0, 2, 0, 7, 0], [0, 0, 3, 0, 2, 1, 5, 1], [0, 0, 3, 0, 2, 2, 3, 2], [0, 0, 3, 0, 2, 3, 1, 3], [0, 0, 3, 0, 3, 0, 4, 2], [0, 0, 3, 0, 3, 1, 2, 3], [0, 0, 3, 0, 3, 2, 0, 4], [0, 0, 3, 0, 4, 0, 1, 4], [0, 0, 3, 1, 0, 1, 7, 0], [0, 0, 3, 1, 0, 2, 5, 1], [0, 0, 3, 1, 0, 3, 3, 2], [0, 0, 3, 1, 0, 4, 1, 3], [0, 0, 3, 1, 1, 0, 6, 1], [0, 0, 3, 1, 1, 1, 4, 2], [0, 0, 3, 1, 1, 2, 2, 3], [0, 0, 3, 1, 1, 3, 0, 4], [0, 0, 3, 1, 2, 0, 3, 3], [0, 0, 3, 1, 2, 1, 1, 4], [0, 0, 3, 1, 3, 0, 0, 5], [0, 0, 3, 2, 0, 0, 5, 2], [0, 0, 3, 2, 0, 1, 3, 3], [0, 0, 3, 2, 0, 2, 1, 4], [0, 0, 3, 2, 1, 0, 2, 4], [0, 0, 3, 2, 1, 1, 0, 5], [0, 0, 3, 3, 0, 0, 1, 5], [0, 0, 4, 0, 0, 0, 8, 0], [0, 0, 4, 0, 0, 1, 6, 1], [0, 0, 4, 0, 0, 2, 4, 2], [0, 0, 4, 0, 0, 3, 2, 3], [0, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 1, 0, 5, 2], [0, 0, 4, 0, 1, 1, 3, 3], [0, 0, 4, 0, 1, 2, 1, 4], [0, 0, 4, 0, 2, 0, 2, 4], [0, 0, 4, 0, 2, 1, 0, 5], [0, 0, 4, 1, 0, 0, 4, 3], [0, 0, 4, 1, 0, 1, 2, 4], [0, 0, 4, 1, 0, 2, 0, 5], [0, 0, 4, 1, 1, 0, 1, 5], [0, 0, 4, 2, 0, 0, 0, 6], [0, 0, 5, 0, 0, 0, 3, 4], [0, 0, 5, 0, 0, 1, 1, 5], [0, 0, 5, 0, 1, 0, 0, 6], [0, 1, 0, 0, 0, 11, 0, 0], [0, 1, 0, 0, 1, 9, 1, 0], [0, 1, 0, 0, 2, 7, 2, 0], [0, 1, 0, 0, 2, 8, 0, 1], [0, 1, 0, 0, 3, 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1, 0, 2, 1, 2, 0, 5], [1, 1, 0, 2, 2, 0, 1, 5], [1, 1, 0, 3, 0, 0, 3, 4], [1, 1, 0, 3, 0, 1, 1, 5], [1, 1, 0, 3, 1, 0, 0, 6], [1, 1, 1, 0, 0, 1, 8, 0], [1, 1, 1, 0, 0, 2, 6, 1], [1, 1, 1, 0, 0, 3, 4, 2], [1, 1, 1, 0, 0, 4, 2, 3], [1, 1, 1, 0, 0, 5, 0, 4], [1, 1, 1, 0, 1, 0, 7, 1], [1, 1, 1, 0, 1, 1, 5, 2], [1, 1, 1, 0, 1, 2, 3, 3], [1, 1, 1, 0, 1, 3, 1, 4], [1, 1, 1, 0, 2, 0, 4, 3], [1, 1, 1, 0, 2, 1, 2, 4], [1, 1, 1, 0, 2, 2, 0, 5], [1, 1, 1, 0, 3, 0, 1, 5], [1, 1, 1, 1, 0, 0, 6, 2], [1, 1, 1, 1, 0, 1, 4, 3], [1, 1, 1, 1, 0, 2, 2, 4], [1, 1, 1, 1, 0, 3, 0, 5], [1, 1, 1, 1, 1, 0, 3, 4], [1, 1, 1, 1, 1, 1, 1, 5], [1, 1, 1, 1, 2, 0, 0, 6], [1, 1, 1, 2, 0, 0, 2, 5], [1, 1, 1, 2, 0, 1, 0, 6], [1, 1, 2, 0, 0, 0, 5, 3], [1, 1, 2, 0, 0, 1, 3, 4], [1, 1, 2, 0, 0, 2, 1, 5], [1, 1, 2, 0, 1, 0, 2, 5], [1, 1, 2, 0, 1, 1, 0, 6], [1, 1, 2, 1, 0, 0, 1, 6], [1, 1, 3, 0, 0, 0, 0, 7], [1, 2, 0, 0, 0, 0, 9, 0], [1, 2, 0, 0, 0, 1, 7, 1], [1, 2, 0, 0, 0, 2, 5, 2], [1, 2, 0, 0, 0, 3, 3, 3], [1, 2, 0, 0, 0, 4, 1, 4], [1, 2, 0, 0, 1, 0, 6, 2], [1, 2, 0, 0, 1, 1, 4, 3], [1, 2, 0, 0, 1, 2, 2, 4], [1, 2, 0, 0, 1, 3, 0, 5], [1, 2, 0, 0, 2, 0, 3, 4], [1, 2, 0, 0, 2, 1, 1, 5], [1, 2, 0, 0, 3, 0, 0, 6], [1, 2, 0, 1, 0, 0, 5, 3], [1, 2, 0, 1, 0, 1, 3, 4], [1, 2, 0, 1, 0, 2, 1, 5], [1, 2, 0, 1, 1, 0, 2, 5], [1, 2, 0, 1, 1, 1, 0, 6], [1, 2, 0, 2, 0, 0, 1, 6], [1, 2, 1, 0, 0, 0, 4, 4], [1, 2, 1, 0, 0, 1, 2, 5], [1, 2, 1, 0, 0, 2, 0, 6], [1, 2, 1, 0, 1, 0, 1, 6], [1, 2, 1, 1, 0, 0, 0, 7], [1, 3, 0, 0, 0, 0, 3, 5], [1, 3, 0, 0, 0, 1, 1, 6], [1, 3, 0, 0, 1, 0, 0, 7], [2, 0, 0, 0, 0, 4, 6, 0], [2, 0, 0, 0, 0, 5, 4, 1], [2, 0, 0, 0, 0, 6, 2, 2], [2, 0, 0, 0, 0, 7, 0, 3], [2, 0, 0, 0, 1, 2, 7, 0], [2, 0, 0, 0, 1, 3, 5, 1], [2, 0, 0, 0, 1, 4, 3, 2], [2, 0, 0, 0, 1, 5, 1, 3], [2, 0, 0, 0, 2, 0, 8, 0], [2, 0, 0, 0, 2, 1, 6, 1], [2, 0, 0, 0, 2, 2, 4, 2], [2, 0, 0, 0, 2, 3, 2, 3], [2, 0, 0, 0, 2, 4, 0, 4], [2, 0, 0, 0, 3, 0, 5, 2], [2, 0, 0, 0, 3, 1, 3, 3], [2, 0, 0, 0, 3, 2, 1, 4], [2, 0, 0, 0, 4, 0, 2, 4], [2, 0, 0, 0, 4, 1, 0, 5], [2, 0, 0, 1, 0, 1, 8, 0], [2, 0, 0, 1, 0, 2, 6, 1], [2, 0, 0, 1, 0, 3, 4, 2], [2, 0, 0, 1, 0, 4, 2, 3], [2, 0, 0, 1, 0, 5, 0, 4], [2, 0, 0, 1, 1, 0, 7, 1], [2, 0, 0, 1, 1, 1, 5, 2], [2, 0, 0, 1, 1, 2, 3, 3], [2, 0, 0, 1, 1, 3, 1, 4], [2, 0, 0, 1, 2, 0, 4, 3], [2, 0, 0, 1, 2, 1, 2, 4], [2, 0, 0, 1, 2, 2, 0, 5], [2, 0, 0, 1, 3, 0, 1, 5], [2, 0, 0, 2, 0, 0, 6, 2], [2, 0, 0, 2, 0, 1, 4, 3], [2, 0, 0, 2, 0, 2, 2, 4], [2, 0, 0, 2, 0, 3, 0, 5], [2, 0, 0, 2, 1, 0, 3, 4], [2, 0, 0, 2, 1, 1, 1, 5], [2, 0, 0, 2, 2, 0, 0, 6], [2, 0, 0, 3, 0, 0, 2, 5], [2, 0, 0, 3, 0, 1, 0, 6], [2, 0, 1, 0, 0, 0, 9, 0], [2, 0, 1, 0, 0, 1, 7, 1], [2, 0, 1, 0, 0, 2, 5, 2], [2, 0, 1, 0, 0, 3, 3, 3], [2, 0, 1, 0, 0, 4, 1, 4], [2, 0, 1, 0, 1, 0, 6, 2], [2, 0, 1, 0, 1, 1, 4, 3], [2, 0, 1, 0, 1, 2, 2, 4], [2, 0, 1, 0, 1, 3, 0, 5], [2, 0, 1, 0, 2, 0, 3, 4], [2, 0, 1, 0, 2, 1, 1, 5], [2, 0, 1, 0, 3, 0, 0, 6], [2, 0, 1, 1, 0, 0, 5, 3], [2, 0, 1, 1, 0, 1, 3, 4], [2, 0, 1, 1, 0, 2, 1, 5], [2, 0, 1, 1, 1, 0, 2, 5], [2, 0, 1, 1, 1, 1, 0, 6], [2, 0, 1, 2, 0, 0, 1, 6], [2, 0, 2, 0, 0, 0, 4, 4], [2, 0, 2, 0, 0, 1, 2, 5], [2, 0, 2, 0, 0, 2, 0, 6], [2, 0, 2, 0, 1, 0, 1, 6], [2, 0, 2, 1, 0, 0, 0, 7], [2, 1, 0, 0, 0, 0, 8, 1], [2, 1, 0, 0, 0, 1, 6, 2], [2, 1, 0, 0, 0, 2, 4, 3], [2, 1, 0, 0, 0, 3, 2, 4], [2, 1, 0, 0, 0, 4, 0, 5], [2, 1, 0, 0, 1, 0, 5, 3], [2, 1, 0, 0, 1, 1, 3, 4], [2, 1, 0, 0, 1, 2, 1, 5], [2, 1, 0, 0, 2, 0, 2, 5], [2, 1, 0, 0, 2, 1, 0, 6], [2, 1, 0, 1, 0, 0, 4, 4], [2, 1, 0, 1, 0, 1, 2, 5], [2, 1, 0, 1, 0, 2, 0, 6], [2, 1, 0, 1, 1, 0, 1, 6], [2, 1, 0, 2, 0, 0, 0, 7], [2, 1, 1, 0, 0, 0, 3, 5], [2, 1, 1, 0, 0, 1, 1, 6], [2, 1, 1, 0, 1, 0, 0, 7], [2, 2, 0, 0, 0, 0, 2, 6], [2, 2, 0, 0, 0, 1, 0, 7], [3, 0, 0, 0, 0, 0, 7, 2], [3, 0, 0, 0, 0, 1, 5, 3], [3, 0, 0, 0, 0, 2, 3, 4], [3, 0, 0, 0, 0, 3, 1, 5], [3, 0, 0, 0, 1, 0, 4, 4], [3, 0, 0, 0, 1, 1, 2, 5], [3, 0, 0, 0, 1, 2, 0, 6], [3, 0, 0, 0, 2, 0, 1, 6], [3, 0, 0, 1, 0, 0, 3, 5], [3, 0, 0, 1, 0, 1, 1, 6], [3, 0, 0, 1, 1, 0, 0, 7], [3, 0, 1, 0, 0, 0, 2, 6], [3, 0, 1, 0, 0, 1, 0, 7], [3, 1, 0, 0, 0, 0, 1, 7], [4, 0, 0, 0, 0, 0, 0, 8]} (8, 12, 1) has 1870 possible DDs: {[0, 0, 0, 0, 0, 8, 4, 0, 0], [0, 0, 0, 0, 0, 9, 2, 1, 0], [0, 0, 0, 0, 0, 10, 0, 2, 0], [0, 0, 0, 0, 0, 10, 1, 0, 1], [0, 0, 0, 0, 1, 6, 5, 0, 0], [0, 0, 0, 0, 1, 7, 3, 1, 0], [0, 0, 0, 0, 1, 8, 1, 2, 0], [0, 0, 0, 0, 1, 8, 2, 0, 1], [0, 0, 0, 0, 1, 9, 0, 1, 1], [0, 0, 0, 0, 2, 4, 6, 0, 0], [0, 0, 0, 0, 2, 5, 4, 1, 0], [0, 0, 0, 0, 2, 6, 2, 2, 0], [0, 0, 0, 0, 2, 6, 3, 0, 1], [0, 0, 0, 0, 2, 7, 0, 3, 0], [0, 0, 0, 0, 2, 7, 1, 1, 1], [0, 0, 0, 0, 2, 8, 0, 0, 2], [0, 0, 0, 0, 3, 2, 7, 0, 0], [0, 0, 0, 0, 3, 3, 5, 1, 0], [0, 0, 0, 0, 3, 4, 3, 2, 0], [0, 0, 0, 0, 3, 4, 4, 0, 1], [0, 0, 0, 0, 3, 5, 1, 3, 0], [0, 0, 0, 0, 3, 5, 2, 1, 1], [0, 0, 0, 0, 3, 6, 0, 2, 1], [0, 0, 0, 0, 3, 6, 1, 0, 2], [0, 0, 0, 0, 4, 0, 8, 0, 0], [0, 0, 0, 0, 4, 1, 6, 1, 0], [0, 0, 0, 0, 4, 2, 4, 2, 0], [0, 0, 0, 0, 4, 2, 5, 0, 1], [0, 0, 0, 0, 4, 3, 2, 3, 0], [0, 0, 0, 0, 4, 3, 3, 1, 1], [0, 0, 0, 0, 4, 4, 0, 4, 0], [0, 0, 0, 0, 4, 4, 1, 2, 1], [0, 0, 0, 0, 4, 4, 2, 0, 2], [0, 0, 0, 0, 4, 5, 0, 1, 2], [0, 0, 0, 0, 5, 0, 5, 2, 0], [0, 0, 0, 0, 5, 0, 6, 0, 1], [0, 0, 0, 0, 5, 1, 3, 3, 0], [0, 0, 0, 0, 5, 1, 4, 1, 1], [0, 0, 0, 0, 5, 2, 1, 4, 0], [0, 0, 0, 0, 5, 2, 2, 2, 1], [0, 0, 0, 0, 5, 2, 3, 0, 2], [0, 0, 0, 0, 5, 3, 0, 3, 1], [0, 0, 0, 0, 5, 3, 1, 1, 2], [0, 0, 0, 0, 5, 4, 0, 0, 3], [0, 0, 0, 0, 6, 0, 2, 4, 0], [0, 0, 0, 0, 6, 0, 3, 2, 1], [0, 0, 0, 0, 6, 0, 4, 0, 2], [0, 0, 0, 0, 6, 1, 0, 5, 0], [0, 0, 0, 0, 6, 1, 1, 3, 1], [0, 0, 0, 0, 6, 1, 2, 1, 2], [0, 0, 0, 0, 6, 2, 0, 2, 2], [0, 0, 0, 0, 6, 2, 1, 0, 3], [0, 0, 0, 0, 7, 0, 0, 4, 1], [0, 0, 0, 0, 7, 0, 1, 2, 2], [0, 0, 0, 0, 7, 0, 2, 0, 3], [0, 0, 0, 0, 7, 1, 0, 1, 3], [0, 0, 0, 0, 8, 0, 0, 0, 4], [0, 0, 0, 1, 0, 5, 6, 0, 0], [0, 0, 0, 1, 0, 6, 4, 1, 0], [0, 0, 0, 1, 0, 7, 2, 2, 0], [0, 0, 0, 1, 0, 7, 3, 0, 1], [0, 0, 0, 1, 0, 8, 0, 3, 0], [0, 0, 0, 1, 0, 8, 1, 1, 1], [0, 0, 0, 1, 0, 9, 0, 0, 2], [0, 0, 0, 1, 1, 3, 7, 0, 0], [0, 0, 0, 1, 1, 4, 5, 1, 0], [0, 0, 0, 1, 1, 5, 3, 2, 0], [0, 0, 0, 1, 1, 5, 4, 0, 1], [0, 0, 0, 1, 1, 6, 1, 3, 0], [0, 0, 0, 1, 1, 6, 2, 1, 1], [0, 0, 0, 1, 1, 7, 0, 2, 1], [0, 0, 0, 1, 1, 7, 1, 0, 2], [0, 0, 0, 1, 2, 1, 8, 0, 0], [0, 0, 0, 1, 2, 2, 6, 1, 0], [0, 0, 0, 1, 2, 3, 4, 2, 0], [0, 0, 0, 1, 2, 3, 5, 0, 1], [0, 0, 0, 1, 2, 4, 2, 3, 0], [0, 0, 0, 1, 2, 4, 3, 1, 1], [0, 0, 0, 1, 2, 5, 0, 4, 0], [0, 0, 0, 1, 2, 5, 1, 2, 1], [0, 0, 0, 1, 2, 5, 2, 0, 2], [0, 0, 0, 1, 2, 6, 0, 1, 2], [0, 0, 0, 1, 3, 0, 7, 1, 0], [0, 0, 0, 1, 3, 1, 5, 2, 0], [0, 0, 0, 1, 3, 1, 6, 0, 1], [0, 0, 0, 1, 3, 2, 3, 3, 0], [0, 0, 0, 1, 3, 2, 4, 1, 1], [0, 0, 0, 1, 3, 3, 1, 4, 0], [0, 0, 0, 1, 3, 3, 2, 2, 1], [0, 0, 0, 1, 3, 3, 3, 0, 2], [0, 0, 0, 1, 3, 4, 0, 3, 1], [0, 0, 0, 1, 3, 4, 1, 1, 2], [0, 0, 0, 1, 3, 5, 0, 0, 3], [0, 0, 0, 1, 4, 0, 4, 3, 0], [0, 0, 0, 1, 4, 0, 5, 1, 1], [0, 0, 0, 1, 4, 1, 2, 4, 0], [0, 0, 0, 1, 4, 1, 3, 2, 1], [0, 0, 0, 1, 4, 1, 4, 0, 2], [0, 0, 0, 1, 4, 2, 0, 5, 0], [0, 0, 0, 1, 4, 2, 1, 3, 1], [0, 0, 0, 1, 4, 2, 2, 1, 2], [0, 0, 0, 1, 4, 3, 0, 2, 2], [0, 0, 0, 1, 4, 3, 1, 0, 3], [0, 0, 0, 1, 5, 0, 1, 5, 0], [0, 0, 0, 1, 5, 0, 2, 3, 1], [0, 0, 0, 1, 5, 0, 3, 1, 2], [0, 0, 0, 1, 5, 1, 0, 4, 1], [0, 0, 0, 1, 5, 1, 1, 2, 2], [0, 0, 0, 1, 5, 1, 2, 0, 3], [0, 0, 0, 1, 5, 2, 0, 1, 3], [0, 0, 0, 1, 6, 0, 0, 3, 2], [0, 0, 0, 1, 6, 0, 1, 1, 3], [0, 0, 0, 1, 6, 1, 0, 0, 4], [0, 0, 0, 2, 0, 2, 8, 0, 0], [0, 0, 0, 2, 0, 3, 6, 1, 0], [0, 0, 0, 2, 0, 4, 4, 2, 0], [0, 0, 0, 2, 0, 4, 5, 0, 1], [0, 0, 0, 2, 0, 5, 2, 3, 0], [0, 0, 0, 2, 0, 5, 3, 1, 1], [0, 0, 0, 2, 0, 6, 0, 4, 0], [0, 0, 0, 2, 0, 6, 1, 2, 1], [0, 0, 0, 2, 0, 6, 2, 0, 2], [0, 0, 0, 2, 0, 7, 0, 1, 2], [0, 0, 0, 2, 1, 0, 9, 0, 0], [0, 0, 0, 2, 1, 1, 7, 1, 0], [0, 0, 0, 2, 1, 2, 5, 2, 0], [0, 0, 0, 2, 1, 2, 6, 0, 1], [0, 0, 0, 2, 1, 3, 3, 3, 0], [0, 0, 0, 2, 1, 3, 4, 1, 1], [0, 0, 0, 2, 1, 4, 1, 4, 0], [0, 0, 0, 2, 1, 4, 2, 2, 1], [0, 0, 0, 2, 1, 4, 3, 0, 2], [0, 0, 0, 2, 1, 5, 0, 3, 1], [0, 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6, 0], [1, 1, 0, 1, 0, 0, 4, 4, 1], [1, 1, 0, 1, 0, 0, 5, 2, 2], [1, 1, 0, 1, 0, 0, 6, 0, 3], [1, 1, 0, 1, 0, 1, 1, 7, 0], [1, 1, 0, 1, 0, 1, 2, 5, 1], [1, 1, 0, 1, 0, 1, 3, 3, 2], [1, 1, 0, 1, 0, 1, 4, 1, 3], [1, 1, 0, 1, 0, 2, 0, 6, 1], [1, 1, 0, 1, 0, 2, 1, 4, 2], [1, 1, 0, 1, 0, 2, 2, 2, 3], [1, 1, 0, 1, 0, 2, 3, 0, 4], [1, 1, 0, 1, 0, 3, 0, 3, 3], [1, 1, 0, 1, 0, 3, 1, 1, 4], [1, 1, 0, 1, 0, 4, 0, 0, 5], [1, 1, 0, 1, 1, 0, 0, 8, 0], [1, 1, 0, 1, 1, 0, 1, 6, 1], [1, 1, 0, 1, 1, 0, 2, 4, 2], [1, 1, 0, 1, 1, 0, 3, 2, 3], [1, 1, 0, 1, 1, 0, 4, 0, 4], [1, 1, 0, 1, 1, 1, 0, 5, 2], [1, 1, 0, 1, 1, 1, 1, 3, 3], [1, 1, 0, 1, 1, 1, 2, 1, 4], [1, 1, 0, 1, 1, 2, 0, 2, 4], [1, 1, 0, 1, 1, 2, 1, 0, 5], [1, 1, 0, 1, 2, 0, 0, 4, 3], [1, 1, 0, 1, 2, 0, 1, 2, 4], [1, 1, 0, 1, 2, 0, 2, 0, 5], [1, 1, 0, 1, 2, 1, 0, 1, 5], [1, 1, 0, 1, 3, 0, 0, 0, 6], [1, 1, 0, 2, 0, 0, 0, 7, 1], [1, 1, 0, 2, 0, 0, 1, 5, 2], [1, 1, 0, 2, 0, 0, 2, 3, 3], [1, 1, 0, 2, 0, 0, 3, 1, 4], [1, 1, 0, 2, 0, 1, 0, 4, 3], [1, 1, 0, 2, 0, 1, 1, 2, 4], [1, 1, 0, 2, 0, 1, 2, 0, 5], [1, 1, 0, 2, 0, 2, 0, 1, 5], [1, 1, 0, 2, 1, 0, 0, 3, 4], [1, 1, 0, 2, 1, 0, 1, 1, 5], [1, 1, 0, 2, 1, 1, 0, 0, 6], [1, 1, 0, 3, 0, 0, 0, 2, 5], [1, 1, 0, 3, 0, 0, 1, 0, 6], [1, 1, 1, 0, 0, 0, 2, 7, 0], [1, 1, 1, 0, 0, 0, 3, 5, 1], [1, 1, 1, 0, 0, 0, 4, 3, 2], [1, 1, 1, 0, 0, 0, 5, 1, 3], [1, 1, 1, 0, 0, 1, 0, 8, 0], [1, 1, 1, 0, 0, 1, 1, 6, 1], [1, 1, 1, 0, 0, 1, 2, 4, 2], [1, 1, 1, 0, 0, 1, 3, 2, 3], [1, 1, 1, 0, 0, 1, 4, 0, 4], [1, 1, 1, 0, 0, 2, 0, 5, 2], [1, 1, 1, 0, 0, 2, 1, 3, 3], [1, 1, 1, 0, 0, 2, 2, 1, 4], [1, 1, 1, 0, 0, 3, 0, 2, 4], [1, 1, 1, 0, 0, 3, 1, 0, 5], [1, 1, 1, 0, 1, 0, 0, 7, 1], [1, 1, 1, 0, 1, 0, 1, 5, 2], [1, 1, 1, 0, 1, 0, 2, 3, 3], [1, 1, 1, 0, 1, 0, 3, 1, 4], [1, 1, 1, 0, 1, 1, 0, 4, 3], [1, 1, 1, 0, 1, 1, 1, 2, 4], [1, 1, 1, 0, 1, 1, 2, 0, 5], [1, 1, 1, 0, 1, 2, 0, 1, 5], [1, 1, 1, 0, 2, 0, 0, 3, 4], [1, 1, 1, 0, 2, 0, 1, 1, 5], [1, 1, 1, 0, 2, 1, 0, 0, 6], [1, 1, 1, 1, 0, 0, 0, 6, 2], [1, 1, 1, 1, 0, 0, 1, 4, 3], [1, 1, 1, 1, 0, 0, 2, 2, 4], [1, 1, 1, 1, 0, 0, 3, 0, 5], [1, 1, 1, 1, 0, 1, 0, 3, 4], [1, 1, 1, 1, 0, 1, 1, 1, 5], [1, 1, 1, 1, 0, 2, 0, 0, 6], [1, 1, 1, 1, 1, 0, 0, 2, 5], [1, 1, 1, 1, 1, 0, 1, 0, 6], [1, 1, 1, 2, 0, 0, 0, 1, 6], [1, 1, 2, 0, 0, 0, 0, 5, 3], [1, 1, 2, 0, 0, 0, 1, 3, 4], [1, 1, 2, 0, 0, 0, 2, 1, 5], [1, 1, 2, 0, 0, 1, 0, 2, 5], [1, 1, 2, 0, 0, 1, 1, 0, 6], [1, 1, 2, 0, 1, 0, 0, 1, 6], [1, 1, 2, 1, 0, 0, 0, 0, 7], [1, 2, 0, 0, 0, 0, 1, 8, 0], [1, 2, 0, 0, 0, 0, 2, 6, 1], [1, 2, 0, 0, 0, 0, 3, 4, 2], [1, 2, 0, 0, 0, 0, 4, 2, 3], [1, 2, 0, 0, 0, 0, 5, 0, 4], [1, 2, 0, 0, 0, 1, 0, 7, 1], [1, 2, 0, 0, 0, 1, 1, 5, 2], [1, 2, 0, 0, 0, 1, 2, 3, 3], [1, 2, 0, 0, 0, 1, 3, 1, 4], [1, 2, 0, 0, 0, 2, 0, 4, 3], [1, 2, 0, 0, 0, 2, 1, 2, 4], [1, 2, 0, 0, 0, 2, 2, 0, 5], [1, 2, 0, 0, 0, 3, 0, 1, 5], [1, 2, 0, 0, 1, 0, 0, 6, 2], [1, 2, 0, 0, 1, 0, 1, 4, 3], [1, 2, 0, 0, 1, 0, 2, 2, 4], [1, 2, 0, 0, 1, 0, 3, 0, 5], [1, 2, 0, 0, 1, 1, 0, 3, 4], [1, 2, 0, 0, 1, 1, 1, 1, 5], [1, 2, 0, 0, 1, 2, 0, 0, 6], [1, 2, 0, 0, 2, 0, 0, 2, 5], [1, 2, 0, 0, 2, 0, 1, 0, 6], [1, 2, 0, 1, 0, 0, 0, 5, 3], [1, 2, 0, 1, 0, 0, 1, 3, 4], [1, 2, 0, 1, 0, 0, 2, 1, 5], [1, 2, 0, 1, 0, 1, 0, 2, 5], [1, 2, 0, 1, 0, 1, 1, 0, 6], [1, 2, 0, 1, 1, 0, 0, 1, 6], [1, 2, 0, 2, 0, 0, 0, 0, 7], [1, 2, 1, 0, 0, 0, 0, 4, 4], [1, 2, 1, 0, 0, 0, 1, 2, 5], [1, 2, 1, 0, 0, 0, 2, 0, 6], [1, 2, 1, 0, 0, 1, 0, 1, 6], [1, 2, 1, 0, 1, 0, 0, 0, 7], [1, 3, 0, 0, 0, 0, 0, 3, 5], [1, 3, 0, 0, 0, 0, 1, 1, 6], [1, 3, 0, 0, 0, 1, 0, 0, 7], [2, 0, 0, 0, 0, 0, 6, 4, 0], [2, 0, 0, 0, 0, 0, 7, 2, 1], [2, 0, 0, 0, 0, 0, 8, 0, 2], [2, 0, 0, 0, 0, 1, 4, 5, 0], [2, 0, 0, 0, 0, 1, 5, 3, 1], [2, 0, 0, 0, 0, 1, 6, 1, 2], [2, 0, 0, 0, 0, 2, 2, 6, 0], [2, 0, 0, 0, 0, 2, 3, 4, 1], [2, 0, 0, 0, 0, 2, 4, 2, 2], [2, 0, 0, 0, 0, 2, 5, 0, 3], [2, 0, 0, 0, 0, 3, 0, 7, 0], [2, 0, 0, 0, 0, 3, 1, 5, 1], [2, 0, 0, 0, 0, 3, 2, 3, 2], [2, 0, 0, 0, 0, 3, 3, 1, 3], [2, 0, 0, 0, 0, 4, 0, 4, 2], [2, 0, 0, 0, 0, 4, 1, 2, 3], [2, 0, 0, 0, 0, 4, 2, 0, 4], [2, 0, 0, 0, 0, 5, 0, 1, 4], [2, 0, 0, 0, 1, 0, 3, 6, 0], [2, 0, 0, 0, 1, 0, 4, 4, 1], [2, 0, 0, 0, 1, 0, 5, 2, 2], [2, 0, 0, 0, 1, 0, 6, 0, 3], [2, 0, 0, 0, 1, 1, 1, 7, 0], [2, 0, 0, 0, 1, 1, 2, 5, 1], [2, 0, 0, 0, 1, 1, 3, 3, 2], [2, 0, 0, 0, 1, 1, 4, 1, 3], [2, 0, 0, 0, 1, 2, 0, 6, 1], [2, 0, 0, 0, 1, 2, 1, 4, 2], [2, 0, 0, 0, 1, 2, 2, 2, 3], [2, 0, 0, 0, 1, 2, 3, 0, 4], [2, 0, 0, 0, 1, 3, 0, 3, 3], [2, 0, 0, 0, 1, 3, 1, 1, 4], [2, 0, 0, 0, 1, 4, 0, 0, 5], [2, 0, 0, 0, 2, 0, 0, 8, 0], [2, 0, 0, 0, 2, 0, 1, 6, 1], [2, 0, 0, 0, 2, 0, 2, 4, 2], [2, 0, 0, 0, 2, 0, 3, 2, 3], [2, 0, 0, 0, 2, 0, 4, 0, 4], [2, 0, 0, 0, 2, 1, 0, 5, 2], [2, 0, 0, 0, 2, 1, 1, 3, 3], [2, 0, 0, 0, 2, 1, 2, 1, 4], [2, 0, 0, 0, 2, 2, 0, 2, 4], [2, 0, 0, 0, 2, 2, 1, 0, 5], [2, 0, 0, 0, 3, 0, 0, 4, 3], [2, 0, 0, 0, 3, 0, 1, 2, 4], [2, 0, 0, 0, 3, 0, 2, 0, 5], [2, 0, 0, 0, 3, 1, 0, 1, 5], [2, 0, 0, 0, 4, 0, 0, 0, 6], [2, 0, 0, 1, 0, 0, 2, 7, 0], [2, 0, 0, 1, 0, 0, 3, 5, 1], [2, 0, 0, 1, 0, 0, 4, 3, 2], [2, 0, 0, 1, 0, 0, 5, 1, 3], [2, 0, 0, 1, 0, 1, 0, 8, 0], [2, 0, 0, 1, 0, 1, 1, 6, 1], [2, 0, 0, 1, 0, 1, 2, 4, 2], [2, 0, 0, 1, 0, 1, 3, 2, 3], [2, 0, 0, 1, 0, 1, 4, 0, 4], [2, 0, 0, 1, 0, 2, 0, 5, 2], [2, 0, 0, 1, 0, 2, 1, 3, 3], [2, 0, 0, 1, 0, 2, 2, 1, 4], [2, 0, 0, 1, 0, 3, 0, 2, 4], [2, 0, 0, 1, 0, 3, 1, 0, 5], [2, 0, 0, 1, 1, 0, 0, 7, 1], [2, 0, 0, 1, 1, 0, 1, 5, 2], [2, 0, 0, 1, 1, 0, 2, 3, 3], [2, 0, 0, 1, 1, 0, 3, 1, 4], [2, 0, 0, 1, 1, 1, 0, 4, 3], [2, 0, 0, 1, 1, 1, 1, 2, 4], [2, 0, 0, 1, 1, 1, 2, 0, 5], [2, 0, 0, 1, 1, 2, 0, 1, 5], [2, 0, 0, 1, 2, 0, 0, 3, 4], [2, 0, 0, 1, 2, 0, 1, 1, 5], [2, 0, 0, 1, 2, 1, 0, 0, 6], [2, 0, 0, 2, 0, 0, 0, 6, 2], [2, 0, 0, 2, 0, 0, 1, 4, 3], [2, 0, 0, 2, 0, 0, 2, 2, 4], [2, 0, 0, 2, 0, 0, 3, 0, 5], [2, 0, 0, 2, 0, 1, 0, 3, 4], [2, 0, 0, 2, 0, 1, 1, 1, 5], [2, 0, 0, 2, 0, 2, 0, 0, 6], [2, 0, 0, 2, 1, 0, 0, 2, 5], [2, 0, 0, 2, 1, 0, 1, 0, 6], [2, 0, 0, 3, 0, 0, 0, 1, 6], [2, 0, 1, 0, 0, 0, 1, 8, 0], [2, 0, 1, 0, 0, 0, 2, 6, 1], [2, 0, 1, 0, 0, 0, 3, 4, 2], [2, 0, 1, 0, 0, 0, 4, 2, 3], [2, 0, 1, 0, 0, 0, 5, 0, 4], [2, 0, 1, 0, 0, 1, 0, 7, 1], [2, 0, 1, 0, 0, 1, 1, 5, 2], [2, 0, 1, 0, 0, 1, 2, 3, 3], [2, 0, 1, 0, 0, 1, 3, 1, 4], [2, 0, 1, 0, 0, 2, 0, 4, 3], [2, 0, 1, 0, 0, 2, 1, 2, 4], [2, 0, 1, 0, 0, 2, 2, 0, 5], [2, 0, 1, 0, 0, 3, 0, 1, 5], [2, 0, 1, 0, 1, 0, 0, 6, 2], [2, 0, 1, 0, 1, 0, 1, 4, 3], [2, 0, 1, 0, 1, 0, 2, 2, 4], [2, 0, 1, 0, 1, 0, 3, 0, 5], [2, 0, 1, 0, 1, 1, 0, 3, 4], [2, 0, 1, 0, 1, 1, 1, 1, 5], [2, 0, 1, 0, 1, 2, 0, 0, 6], [2, 0, 1, 0, 2, 0, 0, 2, 5], [2, 0, 1, 0, 2, 0, 1, 0, 6], [2, 0, 1, 1, 0, 0, 0, 5, 3], [2, 0, 1, 1, 0, 0, 1, 3, 4], [2, 0, 1, 1, 0, 0, 2, 1, 5], [2, 0, 1, 1, 0, 1, 0, 2, 5], [2, 0, 1, 1, 0, 1, 1, 0, 6], [2, 0, 1, 1, 1, 0, 0, 1, 6], [2, 0, 1, 2, 0, 0, 0, 0, 7], [2, 0, 2, 0, 0, 0, 0, 4, 4], [2, 0, 2, 0, 0, 0, 1, 2, 5], [2, 0, 2, 0, 0, 0, 2, 0, 6], [2, 0, 2, 0, 0, 1, 0, 1, 6], [2, 0, 2, 0, 1, 0, 0, 0, 7], [2, 1, 0, 0, 0, 0, 0, 9, 0], [2, 1, 0, 0, 0, 0, 1, 7, 1], [2, 1, 0, 0, 0, 0, 2, 5, 2], [2, 1, 0, 0, 0, 0, 3, 3, 3], [2, 1, 0, 0, 0, 0, 4, 1, 4], [2, 1, 0, 0, 0, 1, 0, 6, 2], [2, 1, 0, 0, 0, 1, 1, 4, 3], [2, 1, 0, 0, 0, 1, 2, 2, 4], [2, 1, 0, 0, 0, 1, 3, 0, 5], [2, 1, 0, 0, 0, 2, 0, 3, 4], [2, 1, 0, 0, 0, 2, 1, 1, 5], [2, 1, 0, 0, 0, 3, 0, 0, 6], [2, 1, 0, 0, 1, 0, 0, 5, 3], [2, 1, 0, 0, 1, 0, 1, 3, 4], [2, 1, 0, 0, 1, 0, 2, 1, 5], [2, 1, 0, 0, 1, 1, 0, 2, 5], [2, 1, 0, 0, 1, 1, 1, 0, 6], [2, 1, 0, 0, 2, 0, 0, 1, 6], [2, 1, 0, 1, 0, 0, 0, 4, 4], [2, 1, 0, 1, 0, 0, 1, 2, 5], [2, 1, 0, 1, 0, 0, 2, 0, 6], [2, 1, 0, 1, 0, 1, 0, 1, 6], [2, 1, 0, 1, 1, 0, 0, 0, 7], [2, 1, 1, 0, 0, 0, 0, 3, 5], [2, 1, 1, 0, 0, 0, 1, 1, 6], [2, 1, 1, 0, 0, 1, 0, 0, 7], [2, 2, 0, 0, 0, 0, 0, 2, 6], [2, 2, 0, 0, 0, 0, 1, 0, 7], [3, 0, 0, 0, 0, 0, 0, 8, 1], [3, 0, 0, 0, 0, 0, 1, 6, 2], [3, 0, 0, 0, 0, 0, 2, 4, 3], [3, 0, 0, 0, 0, 0, 3, 2, 4], [3, 0, 0, 0, 0, 0, 4, 0, 5], [3, 0, 0, 0, 0, 1, 0, 5, 3], [3, 0, 0, 0, 0, 1, 1, 3, 4], [3, 0, 0, 0, 0, 1, 2, 1, 5], [3, 0, 0, 0, 0, 2, 0, 2, 5], [3, 0, 0, 0, 0, 2, 1, 0, 6], [3, 0, 0, 0, 1, 0, 0, 4, 4], [3, 0, 0, 0, 1, 0, 1, 2, 5], [3, 0, 0, 0, 1, 0, 2, 0, 6], [3, 0, 0, 0, 1, 1, 0, 1, 6], [3, 0, 0, 0, 2, 0, 0, 0, 7], [3, 0, 0, 1, 0, 0, 0, 3, 5], [3, 0, 0, 1, 0, 0, 1, 1, 6], [3, 0, 0, 1, 0, 1, 0, 0, 7], [3, 0, 1, 0, 0, 0, 0, 2, 6], [3, 0, 1, 0, 0, 0, 1, 0, 7], [3, 1, 0, 0, 0, 0, 0, 1, 7], [4, 0, 0, 0, 0, 0, 0, 0, 8]} (9, 12, 1) has 3798 possible DDs: {[0, 0, 0, 0, 0, 0, 12, 0, 0, 0], [0, 0, 0, 0, 0, 1, 10, 1, 0, 0], [0, 0, 0, 0, 0, 2, 8, 2, 0, 0], [0, 0, 0, 0, 0, 2, 9, 0, 1, 0], [0, 0, 0, 0, 0, 3, 6, 3, 0, 0], [0, 0, 0, 0, 0, 3, 7, 1, 1, 0], [0, 0, 0, 0, 0, 3, 8, 0, 0, 1], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 4, 5, 2, 1, 0], [0, 0, 0, 0, 0, 4, 6, 0, 2, 0], [0, 0, 0, 0, 0, 4, 6, 1, 0, 1], [0, 0, 0, 0, 0, 5, 2, 5, 0, 0], [0, 0, 0, 0, 0, 5, 3, 3, 1, 0], [0, 0, 0, 0, 0, 5, 4, 1, 2, 0], [0, 0, 0, 0, 0, 5, 4, 2, 0, 1], [0, 0, 0, 0, 0, 5, 5, 0, 1, 1], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 1, 4, 1, 0], [0, 0, 0, 0, 0, 6, 2, 2, 2, 0], [0, 0, 0, 0, 0, 6, 2, 3, 0, 1], [0, 0, 0, 0, 0, 6, 3, 0, 3, 0], [0, 0, 0, 0, 0, 6, 3, 1, 1, 1], [0, 0, 0, 0, 0, 6, 4, 0, 0, 2], [0, 0, 0, 0, 0, 7, 0, 3, 2, 0], [0, 0, 0, 0, 0, 7, 0, 4, 0, 1], [0, 0, 0, 0, 0, 7, 1, 1, 3, 0], [0, 0, 0, 0, 0, 7, 1, 2, 1, 1], [0, 0, 0, 0, 0, 7, 2, 0, 2, 1], [0, 0, 0, 0, 0, 7, 2, 1, 0, 2], [0, 0, 0, 0, 0, 8, 0, 0, 4, 0], [0, 0, 0, 0, 0, 8, 0, 1, 2, 1], [0, 0, 0, 0, 0, 8, 0, 2, 0, 2], [0, 0, 0, 0, 0, 8, 1, 0, 1, 2], [0, 0, 0, 0, 0, 9, 0, 0, 0, 3], [0, 0, 0, 0, 1, 0, 9, 2, 0, 0], [0, 0, 0, 0, 1, 0, 10, 0, 1, 0], [0, 0, 0, 0, 1, 1, 7, 3, 0, 0], [0, 0, 0, 0, 1, 1, 8, 1, 1, 0], [0, 0, 0, 0, 1, 1, 9, 0, 0, 1], [0, 0, 0, 0, 1, 2, 5, 4, 0, 0], [0, 0, 0, 0, 1, 2, 6, 2, 1, 0], [0, 0, 0, 0, 1, 2, 7, 0, 2, 0], [0, 0, 0, 0, 1, 2, 7, 1, 0, 1], [0, 0, 0, 0, 1, 3, 3, 5, 0, 0], [0, 0, 0, 0, 1, 3, 4, 3, 1, 0], [0, 0, 0, 0, 1, 3, 5, 1, 2, 0], [0, 0, 0, 0, 1, 3, 5, 2, 0, 1], [0, 0, 0, 0, 1, 3, 6, 0, 1, 1], [0, 0, 0, 0, 1, 4, 1, 6, 0, 0], [0, 0, 0, 0, 1, 4, 2, 4, 1, 0], [0, 0, 0, 0, 1, 4, 3, 2, 2, 0], [0, 0, 0, 0, 1, 4, 3, 3, 0, 1], [0, 0, 0, 0, 1, 4, 4, 0, 3, 0], [0, 0, 0, 0, 1, 4, 4, 1, 1, 1], [0, 0, 0, 0, 1, 4, 5, 0, 0, 2], [0, 0, 0, 0, 1, 5, 0, 5, 1, 0], [0, 0, 0, 0, 1, 5, 1, 3, 2, 0], [0, 0, 0, 0, 1, 5, 1, 4, 0, 1], [0, 0, 0, 0, 1, 5, 2, 1, 3, 0], [0, 0, 0, 0, 1, 5, 2, 2, 1, 1], [0, 0, 0, 0, 1, 5, 3, 0, 2, 1], [0, 0, 0, 0, 1, 5, 3, 1, 0, 2], [0, 0, 0, 0, 1, 6, 0, 2, 3, 0], [0, 0, 0, 0, 1, 6, 0, 3, 1, 1], [0, 0, 0, 0, 1, 6, 1, 0, 4, 0], [0, 0, 0, 0, 1, 6, 1, 1, 2, 1], [0, 0, 0, 0, 1, 6, 1, 2, 0, 2], [0, 0, 0, 0, 1, 6, 2, 0, 1, 2], [0, 0, 0, 0, 1, 7, 0, 0, 3, 1], [0, 0, 0, 0, 1, 7, 0, 1, 1, 2], [0, 0, 0, 0, 1, 7, 1, 0, 0, 3], [0, 0, 0, 0, 2, 0, 6, 4, 0, 0], [0, 0, 0, 0, 2, 0, 7, 2, 1, 0], [0, 0, 0, 0, 2, 0, 8, 0, 2, 0], [0, 0, 0, 0, 2, 0, 8, 1, 0, 1], [0, 0, 0, 0, 2, 1, 4, 5, 0, 0], [0, 0, 0, 0, 2, 1, 5, 3, 1, 0], [0, 0, 0, 0, 2, 1, 6, 1, 2, 0], [0, 0, 0, 0, 2, 1, 6, 2, 0, 1], [0, 0, 0, 0, 2, 1, 7, 0, 1, 1], [0, 0, 0, 0, 2, 2, 2, 6, 0, 0], [0, 0, 0, 0, 2, 2, 3, 4, 1, 0], [0, 0, 0, 0, 2, 2, 4, 2, 2, 0], [0, 0, 0, 0, 2, 2, 4, 3, 0, 1], [0, 0, 0, 0, 2, 2, 5, 0, 3, 0], [0, 0, 0, 0, 2, 2, 5, 1, 1, 1], [0, 0, 0, 0, 2, 2, 6, 0, 0, 2], [0, 0, 0, 0, 2, 3, 0, 7, 0, 0], [0, 0, 0, 0, 2, 3, 1, 5, 1, 0], [0, 0, 0, 0, 2, 3, 2, 3, 2, 0], [0, 0, 0, 0, 2, 3, 2, 4, 0, 1], [0, 0, 0, 0, 2, 3, 3, 1, 3, 0], [0, 0, 0, 0, 2, 3, 3, 2, 1, 1], [0, 0, 0, 0, 2, 3, 4, 0, 2, 1], [0, 0, 0, 0, 2, 3, 4, 1, 0, 2], [0, 0, 0, 0, 2, 4, 0, 4, 2, 0], [0, 0, 0, 0, 2, 4, 0, 5, 0, 1], [0, 0, 0, 0, 2, 4, 1, 2, 3, 0], [0, 0, 0, 0, 2, 4, 1, 3, 1, 1], [0, 0, 0, 0, 2, 4, 2, 0, 4, 0], [0, 0, 0, 0, 2, 4, 2, 1, 2, 1], [0, 0, 0, 0, 2, 4, 2, 2, 0, 2], [0, 0, 0, 0, 2, 4, 3, 0, 1, 2], [0, 0, 0, 0, 2, 5, 0, 1, 4, 0], [0, 0, 0, 0, 2, 5, 0, 2, 2, 1], [0, 0, 0, 0, 2, 5, 0, 3, 0, 2], [0, 0, 0, 0, 2, 5, 1, 0, 3, 1], [0, 0, 0, 0, 2, 5, 1, 1, 1, 2], [0, 0, 0, 0, 2, 5, 2, 0, 0, 3], [0, 0, 0, 0, 2, 6, 0, 0, 2, 2], [0, 0, 0, 0, 2, 6, 0, 1, 0, 3], [0, 0, 0, 0, 3, 0, 3, 6, 0, 0], [0, 0, 0, 0, 3, 0, 4, 4, 1, 0], [0, 0, 0, 0, 3, 0, 5, 2, 2, 0], [0, 0, 0, 0, 3, 0, 5, 3, 0, 1], [0, 0, 0, 0, 3, 0, 6, 0, 3, 0], [0, 0, 0, 0, 3, 0, 6, 1, 1, 1], [0, 0, 0, 0, 3, 0, 7, 0, 0, 2], [0, 0, 0, 0, 3, 1, 1, 7, 0, 0], [0, 0, 0, 0, 3, 1, 2, 5, 1, 0], [0, 0, 0, 0, 3, 1, 3, 3, 2, 0], [0, 0, 0, 0, 3, 1, 3, 4, 0, 1], [0, 0, 0, 0, 3, 1, 4, 1, 3, 0], [0, 0, 0, 0, 3, 1, 4, 2, 1, 1], [0, 0, 0, 0, 3, 1, 5, 0, 2, 1], [0, 0, 0, 0, 3, 1, 5, 1, 0, 2], [0, 0, 0, 0, 3, 2, 0, 6, 1, 0], [0, 0, 0, 0, 3, 2, 1, 4, 2, 0], [0, 0, 0, 0, 3, 2, 1, 5, 0, 1], [0, 0, 0, 0, 3, 2, 2, 2, 3, 0], [0, 0, 0, 0, 3, 2, 2, 3, 1, 1], [0, 0, 0, 0, 3, 2, 3, 0, 4, 0], [0, 0, 0, 0, 3, 2, 3, 1, 2, 1], [0, 0, 0, 0, 3, 2, 3, 2, 0, 2], [0, 0, 0, 0, 3, 2, 4, 0, 1, 2], [0, 0, 0, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 4, 1, 1], [0, 0, 0, 0, 3, 3, 1, 1, 4, 0], [0, 0, 0, 0, 3, 3, 1, 2, 2, 1], [0, 0, 0, 0, 3, 3, 1, 3, 0, 2], [0, 0, 0, 0, 3, 3, 2, 0, 3, 1], [0, 0, 0, 0, 3, 3, 2, 1, 1, 2], [0, 0, 0, 0, 3, 3, 3, 0, 0, 3], [0, 0, 0, 0, 3, 4, 0, 0, 5, 0], [0, 0, 0, 0, 3, 4, 0, 1, 3, 1], [0, 0, 0, 0, 3, 4, 0, 2, 1, 2], [0, 0, 0, 0, 3, 4, 1, 0, 2, 2], [0, 0, 0, 0, 3, 4, 1, 1, 0, 3], [0, 0, 0, 0, 3, 5, 0, 0, 1, 3], [0, 0, 0, 0, 4, 0, 0, 8, 0, 0], [0, 0, 0, 0, 4, 0, 1, 6, 1, 0], [0, 0, 0, 0, 4, 0, 2, 4, 2, 0], [0, 0, 0, 0, 4, 0, 2, 5, 0, 1], [0, 0, 0, 0, 4, 0, 3, 2, 3, 0], [0, 0, 0, 0, 4, 0, 3, 3, 1, 1], [0, 0, 0, 0, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 1, 2, 1], [0, 0, 0, 0, 4, 0, 4, 2, 0, 2], [0, 0, 0, 0, 4, 0, 5, 0, 1, 2], [0, 0, 0, 0, 4, 1, 0, 5, 2, 0], [0, 0, 0, 0, 4, 1, 0, 6, 0, 1], [0, 0, 0, 0, 4, 1, 1, 3, 3, 0], [0, 0, 0, 0, 4, 1, 1, 4, 1, 1], [0, 0, 0, 0, 4, 1, 2, 1, 4, 0], [0, 0, 0, 0, 4, 1, 2, 2, 2, 1], [0, 0, 0, 0, 4, 1, 2, 3, 0, 2], [0, 0, 0, 0, 4, 1, 3, 0, 3, 1], [0, 0, 0, 0, 4, 1, 3, 1, 1, 2], [0, 0, 0, 0, 4, 1, 4, 0, 0, 3], [0, 0, 0, 0, 4, 2, 0, 2, 4, 0], [0, 0, 0, 0, 4, 2, 0, 3, 2, 1], [0, 0, 0, 0, 4, 2, 0, 4, 0, 2], [0, 0, 0, 0, 4, 2, 1, 0, 5, 0], [0, 0, 0, 0, 4, 2, 1, 1, 3, 1], [0, 0, 0, 0, 4, 2, 1, 2, 1, 2], [0, 0, 0, 0, 4, 2, 2, 0, 2, 2], [0, 0, 0, 0, 4, 2, 2, 1, 0, 3], [0, 0, 0, 0, 4, 3, 0, 0, 4, 1], [0, 0, 0, 0, 4, 3, 0, 1, 2, 2], [0, 0, 0, 0, 4, 3, 0, 2, 0, 3], [0, 0, 0, 0, 4, 3, 1, 0, 1, 3], [0, 0, 0, 0, 4, 4, 0, 0, 0, 4], [0, 0, 0, 0, 5, 0, 0, 4, 3, 0], [0, 0, 0, 0, 5, 0, 0, 5, 1, 1], [0, 0, 0, 0, 5, 0, 1, 2, 4, 0], [0, 0, 0, 0, 5, 0, 1, 3, 2, 1], [0, 0, 0, 0, 5, 0, 1, 4, 0, 2], [0, 0, 0, 0, 5, 0, 2, 0, 5, 0], [0, 0, 0, 0, 5, 0, 2, 1, 3, 1], [0, 0, 0, 0, 5, 0, 2, 2, 1, 2], [0, 0, 0, 0, 5, 0, 3, 0, 2, 2], [0, 0, 0, 0, 5, 0, 3, 1, 0, 3], [0, 0, 0, 0, 5, 1, 0, 1, 5, 0], [0, 0, 0, 0, 5, 1, 0, 2, 3, 1], [0, 0, 0, 0, 5, 1, 0, 3, 1, 2], [0, 0, 0, 0, 5, 1, 1, 0, 4, 1], [0, 0, 0, 0, 5, 1, 1, 1, 2, 2], [0, 0, 0, 0, 5, 1, 1, 2, 0, 3], [0, 0, 0, 0, 5, 1, 2, 0, 1, 3], [0, 0, 0, 0, 5, 2, 0, 0, 3, 2], [0, 0, 0, 0, 5, 2, 0, 1, 1, 3], [0, 0, 0, 0, 5, 2, 1, 0, 0, 4], [0, 0, 0, 0, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 6, 0, 0, 1, 4, 1], [0, 0, 0, 0, 6, 0, 0, 2, 2, 2], [0, 0, 0, 0, 6, 0, 0, 3, 0, 3], [0, 0, 0, 0, 6, 0, 1, 0, 3, 2], [0, 0, 0, 0, 6, 0, 1, 1, 1, 3], [0, 0, 0, 0, 6, 0, 2, 0, 0, 4], [0, 0, 0, 0, 6, 1, 0, 0, 2, 3], [0, 0, 0, 0, 6, 1, 0, 1, 0, 4], [0, 0, 0, 0, 7, 0, 0, 0, 1, 4], [0, 0, 0, 1, 0, 0, 8, 3, 0, 0], [0, 0, 0, 1, 0, 0, 9, 1, 1, 0], [0, 0, 0, 1, 0, 0, 10, 0, 0, 1], [0, 0, 0, 1, 0, 1, 6, 4, 0, 0], [0, 0, 0, 1, 0, 1, 7, 2, 1, 0], [0, 0, 0, 1, 0, 1, 8, 0, 2, 0], [0, 0, 0, 1, 0, 1, 8, 1, 0, 1], [0, 0, 0, 1, 0, 2, 4, 5, 0, 0], [0, 0, 0, 1, 0, 2, 5, 3, 1, 0], [0, 0, 0, 1, 0, 2, 6, 1, 2, 0], [0, 0, 0, 1, 0, 2, 6, 2, 0, 1], [0, 0, 0, 1, 0, 2, 7, 0, 1, 1], [0, 0, 0, 1, 0, 3, 2, 6, 0, 0], [0, 0, 0, 1, 0, 3, 3, 4, 1, 0], [0, 0, 0, 1, 0, 3, 4, 2, 2, 0], [0, 0, 0, 1, 0, 3, 4, 3, 0, 1], [0, 0, 0, 1, 0, 3, 5, 0, 3, 0], [0, 0, 0, 1, 0, 3, 5, 1, 1, 1], [0, 0, 0, 1, 0, 3, 6, 0, 0, 2], [0, 0, 0, 1, 0, 4, 0, 7, 0, 0], [0, 0, 0, 1, 0, 4, 1, 5, 1, 0], [0, 0, 0, 1, 0, 4, 2, 3, 2, 0], [0, 0, 0, 1, 0, 4, 2, 4, 0, 1], [0, 0, 0, 1, 0, 4, 3, 1, 3, 0], [0, 0, 0, 1, 0, 4, 3, 2, 1, 1], [0, 0, 0, 1, 0, 4, 4, 0, 2, 1], [0, 0, 0, 1, 0, 4, 4, 1, 0, 2], [0, 0, 0, 1, 0, 5, 0, 4, 2, 0], [0, 0, 0, 1, 0, 5, 0, 5, 0, 1], [0, 0, 0, 1, 0, 5, 1, 2, 3, 0], [0, 0, 0, 1, 0, 5, 1, 3, 1, 1], [0, 0, 0, 1, 0, 5, 2, 0, 4, 0], [0, 0, 0, 1, 0, 5, 2, 1, 2, 1], [0, 0, 0, 1, 0, 5, 2, 2, 0, 2], [0, 0, 0, 1, 0, 5, 3, 0, 1, 2], [0, 0, 0, 1, 0, 6, 0, 1, 4, 0], [0, 0, 0, 1, 0, 6, 0, 2, 2, 1], [0, 0, 0, 1, 0, 6, 0, 3, 0, 2], [0, 0, 0, 1, 0, 6, 1, 0, 3, 1], [0, 0, 0, 1, 0, 6, 1, 1, 1, 2], [0, 0, 0, 1, 0, 6, 2, 0, 0, 3], [0, 0, 0, 1, 0, 7, 0, 0, 2, 2], [0, 0, 0, 1, 0, 7, 0, 1, 0, 3], [0, 0, 0, 1, 1, 0, 5, 5, 0, 0], [0, 0, 0, 1, 1, 0, 6, 3, 1, 0], [0, 0, 0, 1, 1, 0, 7, 1, 2, 0], [0, 0, 0, 1, 1, 0, 7, 2, 0, 1], [0, 0, 0, 1, 1, 0, 8, 0, 1, 1], [0, 0, 0, 1, 1, 1, 3, 6, 0, 0], [0, 0, 0, 1, 1, 1, 4, 4, 1, 0], [0, 0, 0, 1, 1, 1, 5, 2, 2, 0], [0, 0, 0, 1, 1, 1, 5, 3, 0, 1], [0, 0, 0, 1, 1, 1, 6, 0, 3, 0], [0, 0, 0, 1, 1, 1, 6, 1, 1, 1], [0, 0, 0, 1, 1, 1, 7, 0, 0, 2], [0, 0, 0, 1, 1, 2, 1, 7, 0, 0], [0, 0, 0, 1, 1, 2, 2, 5, 1, 0], [0, 0, 0, 1, 1, 2, 3, 3, 2, 0], [0, 0, 0, 1, 1, 2, 3, 4, 0, 1], [0, 0, 0, 1, 1, 2, 4, 1, 3, 0], [0, 0, 0, 1, 1, 2, 4, 2, 1, 1], [0, 0, 0, 1, 1, 2, 5, 0, 2, 1], [0, 0, 0, 1, 1, 2, 5, 1, 0, 2], [0, 0, 0, 1, 1, 3, 0, 6, 1, 0], [0, 0, 0, 1, 1, 3, 1, 4, 2, 0], [0, 0, 0, 1, 1, 3, 1, 5, 0, 1], [0, 0, 0, 1, 1, 3, 2, 2, 3, 0], [0, 0, 0, 1, 1, 3, 2, 3, 1, 1], [0, 0, 0, 1, 1, 3, 3, 0, 4, 0], [0, 0, 0, 1, 1, 3, 3, 1, 2, 1], [0, 0, 0, 1, 1, 3, 3, 2, 0, 2], [0, 0, 0, 1, 1, 3, 4, 0, 1, 2], [0, 0, 0, 1, 1, 4, 0, 3, 3, 0], [0, 0, 0, 1, 1, 4, 0, 4, 1, 1], [0, 0, 0, 1, 1, 4, 1, 1, 4, 0], [0, 0, 0, 1, 1, 4, 1, 2, 2, 1], [0, 0, 0, 1, 1, 4, 1, 3, 0, 2], [0, 0, 0, 1, 1, 4, 2, 0, 3, 1], [0, 0, 0, 1, 1, 4, 2, 1, 1, 2], [0, 0, 0, 1, 1, 4, 3, 0, 0, 3], [0, 0, 0, 1, 1, 5, 0, 0, 5, 0], [0, 0, 0, 1, 1, 5, 0, 1, 3, 1], [0, 0, 0, 1, 1, 5, 0, 2, 1, 2], [0, 0, 0, 1, 1, 5, 1, 0, 2, 2], [0, 0, 0, 1, 1, 5, 1, 1, 0, 3], [0, 0, 0, 1, 1, 6, 0, 0, 1, 3], [0, 0, 0, 1, 2, 0, 2, 7, 0, 0], [0, 0, 0, 1, 2, 0, 3, 5, 1, 0], [0, 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0, 2, 4], [1, 2, 0, 0, 0, 0, 3, 1, 0, 5], [1, 2, 0, 0, 0, 1, 0, 0, 7, 1], [1, 2, 0, 0, 0, 1, 0, 1, 5, 2], [1, 2, 0, 0, 0, 1, 0, 2, 3, 3], [1, 2, 0, 0, 0, 1, 0, 3, 1, 4], [1, 2, 0, 0, 0, 1, 1, 0, 4, 3], [1, 2, 0, 0, 0, 1, 1, 1, 2, 4], [1, 2, 0, 0, 0, 1, 1, 2, 0, 5], [1, 2, 0, 0, 0, 1, 2, 0, 1, 5], [1, 2, 0, 0, 0, 2, 0, 0, 3, 4], [1, 2, 0, 0, 0, 2, 0, 1, 1, 5], [1, 2, 0, 0, 0, 2, 1, 0, 0, 6], [1, 2, 0, 0, 1, 0, 0, 0, 6, 2], [1, 2, 0, 0, 1, 0, 0, 1, 4, 3], [1, 2, 0, 0, 1, 0, 0, 2, 2, 4], [1, 2, 0, 0, 1, 0, 0, 3, 0, 5], [1, 2, 0, 0, 1, 0, 1, 0, 3, 4], [1, 2, 0, 0, 1, 0, 1, 1, 1, 5], [1, 2, 0, 0, 1, 0, 2, 0, 0, 6], [1, 2, 0, 0, 1, 1, 0, 0, 2, 5], [1, 2, 0, 0, 1, 1, 0, 1, 0, 6], [1, 2, 0, 0, 2, 0, 0, 0, 1, 6], [1, 2, 0, 1, 0, 0, 0, 0, 5, 3], [1, 2, 0, 1, 0, 0, 0, 1, 3, 4], [1, 2, 0, 1, 0, 0, 0, 2, 1, 5], [1, 2, 0, 1, 0, 0, 1, 0, 2, 5], [1, 2, 0, 1, 0, 0, 1, 1, 0, 6], [1, 2, 0, 1, 0, 1, 0, 0, 1, 6], [1, 2, 0, 1, 1, 0, 0, 0, 0, 7], [1, 2, 1, 0, 0, 0, 0, 0, 4, 4], [1, 2, 1, 0, 0, 0, 0, 1, 2, 5], [1, 2, 1, 0, 0, 0, 0, 2, 0, 6], [1, 2, 1, 0, 0, 0, 1, 0, 1, 6], [1, 2, 1, 0, 0, 1, 0, 0, 0, 7], [1, 3, 0, 0, 0, 0, 0, 0, 3, 5], [1, 3, 0, 0, 0, 0, 0, 1, 1, 6], [1, 3, 0, 0, 0, 0, 1, 0, 0, 7], [2, 0, 0, 0, 0, 0, 0, 8, 2, 0], [2, 0, 0, 0, 0, 0, 0, 9, 0, 1], [2, 0, 0, 0, 0, 0, 1, 6, 3, 0], [2, 0, 0, 0, 0, 0, 1, 7, 1, 1], [2, 0, 0, 0, 0, 0, 2, 4, 4, 0], [2, 0, 0, 0, 0, 0, 2, 5, 2, 1], [2, 0, 0, 0, 0, 0, 2, 6, 0, 2], [2, 0, 0, 0, 0, 0, 3, 2, 5, 0], [2, 0, 0, 0, 0, 0, 3, 3, 3, 1], [2, 0, 0, 0, 0, 0, 3, 4, 1, 2], [2, 0, 0, 0, 0, 0, 4, 0, 6, 0], [2, 0, 0, 0, 0, 0, 4, 1, 4, 1], [2, 0, 0, 0, 0, 0, 4, 2, 2, 2], [2, 0, 0, 0, 0, 0, 4, 3, 0, 3], [2, 0, 0, 0, 0, 0, 5, 0, 3, 2], [2, 0, 0, 0, 0, 0, 5, 1, 1, 3], [2, 0, 0, 0, 0, 0, 6, 0, 0, 4], [2, 0, 0, 0, 0, 1, 0, 5, 4, 0], [2, 0, 0, 0, 0, 1, 0, 6, 2, 1], [2, 0, 0, 0, 0, 1, 0, 7, 0, 2], [2, 0, 0, 0, 0, 1, 1, 3, 5, 0], [2, 0, 0, 0, 0, 1, 1, 4, 3, 1], [2, 0, 0, 0, 0, 1, 1, 5, 1, 2], [2, 0, 0, 0, 0, 1, 2, 1, 6, 0], [2, 0, 0, 0, 0, 1, 2, 2, 4, 1], [2, 0, 0, 0, 0, 1, 2, 3, 2, 2], [2, 0, 0, 0, 0, 1, 2, 4, 0, 3], [2, 0, 0, 0, 0, 1, 3, 0, 5, 1], [2, 0, 0, 0, 0, 1, 3, 1, 3, 2], [2, 0, 0, 0, 0, 1, 3, 2, 1, 3], [2, 0, 0, 0, 0, 1, 4, 0, 2, 3], [2, 0, 0, 0, 0, 1, 4, 1, 0, 4], [2, 0, 0, 0, 0, 2, 0, 2, 6, 0], [2, 0, 0, 0, 0, 2, 0, 3, 4, 1], [2, 0, 0, 0, 0, 2, 0, 4, 2, 2], [2, 0, 0, 0, 0, 2, 0, 5, 0, 3], [2, 0, 0, 0, 0, 2, 1, 0, 7, 0], [2, 0, 0, 0, 0, 2, 1, 1, 5, 1], [2, 0, 0, 0, 0, 2, 1, 2, 3, 2], [2, 0, 0, 0, 0, 2, 1, 3, 1, 3], [2, 0, 0, 0, 0, 2, 2, 0, 4, 2], [2, 0, 0, 0, 0, 2, 2, 1, 2, 3], [2, 0, 0, 0, 0, 2, 2, 2, 0, 4], [2, 0, 0, 0, 0, 2, 3, 0, 1, 4], [2, 0, 0, 0, 0, 3, 0, 0, 6, 1], [2, 0, 0, 0, 0, 3, 0, 1, 4, 2], [2, 0, 0, 0, 0, 3, 0, 2, 2, 3], [2, 0, 0, 0, 0, 3, 0, 3, 0, 4], [2, 0, 0, 0, 0, 3, 1, 0, 3, 3], [2, 0, 0, 0, 0, 3, 1, 1, 1, 4], [2, 0, 0, 0, 0, 3, 2, 0, 0, 5], [2, 0, 0, 0, 0, 4, 0, 0, 2, 4], [2, 0, 0, 0, 0, 4, 0, 1, 0, 5], [2, 0, 0, 0, 1, 0, 0, 4, 5, 0], [2, 0, 0, 0, 1, 0, 0, 5, 3, 1], [2, 0, 0, 0, 1, 0, 0, 6, 1, 2], [2, 0, 0, 0, 1, 0, 1, 2, 6, 0], [2, 0, 0, 0, 1, 0, 1, 3, 4, 1], [2, 0, 0, 0, 1, 0, 1, 4, 2, 2], [2, 0, 0, 0, 1, 0, 1, 5, 0, 3], [2, 0, 0, 0, 1, 0, 2, 0, 7, 0], [2, 0, 0, 0, 1, 0, 2, 1, 5, 1], [2, 0, 0, 0, 1, 0, 2, 2, 3, 2], [2, 0, 0, 0, 1, 0, 2, 3, 1, 3], [2, 0, 0, 0, 1, 0, 3, 0, 4, 2], [2, 0, 0, 0, 1, 0, 3, 1, 2, 3], [2, 0, 0, 0, 1, 0, 3, 2, 0, 4], [2, 0, 0, 0, 1, 0, 4, 0, 1, 4], [2, 0, 0, 0, 1, 1, 0, 1, 7, 0], [2, 0, 0, 0, 1, 1, 0, 2, 5, 1], [2, 0, 0, 0, 1, 1, 0, 3, 3, 2], [2, 0, 0, 0, 1, 1, 0, 4, 1, 3], [2, 0, 0, 0, 1, 1, 1, 0, 6, 1], [2, 0, 0, 0, 1, 1, 1, 1, 4, 2], [2, 0, 0, 0, 1, 1, 1, 2, 2, 3], [2, 0, 0, 0, 1, 1, 1, 3, 0, 4], [2, 0, 0, 0, 1, 1, 2, 0, 3, 3], [2, 0, 0, 0, 1, 1, 2, 1, 1, 4], [2, 0, 0, 0, 1, 1, 3, 0, 0, 5], [2, 0, 0, 0, 1, 2, 0, 0, 5, 2], [2, 0, 0, 0, 1, 2, 0, 1, 3, 3], [2, 0, 0, 0, 1, 2, 0, 2, 1, 4], [2, 0, 0, 0, 1, 2, 1, 0, 2, 4], [2, 0, 0, 0, 1, 2, 1, 1, 0, 5], [2, 0, 0, 0, 1, 3, 0, 0, 1, 5], [2, 0, 0, 0, 2, 0, 0, 0, 8, 0], [2, 0, 0, 0, 2, 0, 0, 1, 6, 1], [2, 0, 0, 0, 2, 0, 0, 2, 4, 2], [2, 0, 0, 0, 2, 0, 0, 3, 2, 3], [2, 0, 0, 0, 2, 0, 0, 4, 0, 4], [2, 0, 0, 0, 2, 0, 1, 0, 5, 2], [2, 0, 0, 0, 2, 0, 1, 1, 3, 3], [2, 0, 0, 0, 2, 0, 1, 2, 1, 4], [2, 0, 0, 0, 2, 0, 2, 0, 2, 4], [2, 0, 0, 0, 2, 0, 2, 1, 0, 5], [2, 0, 0, 0, 2, 1, 0, 0, 4, 3], [2, 0, 0, 0, 2, 1, 0, 1, 2, 4], [2, 0, 0, 0, 2, 1, 0, 2, 0, 5], [2, 0, 0, 0, 2, 1, 1, 0, 1, 5], [2, 0, 0, 0, 2, 2, 0, 0, 0, 6], [2, 0, 0, 0, 3, 0, 0, 0, 3, 4], [2, 0, 0, 0, 3, 0, 0, 1, 1, 5], [2, 0, 0, 0, 3, 0, 1, 0, 0, 6], [2, 0, 0, 1, 0, 0, 0, 3, 6, 0], [2, 0, 0, 1, 0, 0, 0, 4, 4, 1], [2, 0, 0, 1, 0, 0, 0, 5, 2, 2], [2, 0, 0, 1, 0, 0, 0, 6, 0, 3], [2, 0, 0, 1, 0, 0, 1, 1, 7, 0], [2, 0, 0, 1, 0, 0, 1, 2, 5, 1], [2, 0, 0, 1, 0, 0, 1, 3, 3, 2], [2, 0, 0, 1, 0, 0, 1, 4, 1, 3], [2, 0, 0, 1, 0, 0, 2, 0, 6, 1], [2, 0, 0, 1, 0, 0, 2, 1, 4, 2], [2, 0, 0, 1, 0, 0, 2, 2, 2, 3], [2, 0, 0, 1, 0, 0, 2, 3, 0, 4], [2, 0, 0, 1, 0, 0, 3, 0, 3, 3], [2, 0, 0, 1, 0, 0, 3, 1, 1, 4], [2, 0, 0, 1, 0, 0, 4, 0, 0, 5], [2, 0, 0, 1, 0, 1, 0, 0, 8, 0], [2, 0, 0, 1, 0, 1, 0, 1, 6, 1], [2, 0, 0, 1, 0, 1, 0, 2, 4, 2], [2, 0, 0, 1, 0, 1, 0, 3, 2, 3], [2, 0, 0, 1, 0, 1, 0, 4, 0, 4], [2, 0, 0, 1, 0, 1, 1, 0, 5, 2], [2, 0, 0, 1, 0, 1, 1, 1, 3, 3], [2, 0, 0, 1, 0, 1, 1, 2, 1, 4], [2, 0, 0, 1, 0, 1, 2, 0, 2, 4], [2, 0, 0, 1, 0, 1, 2, 1, 0, 5], [2, 0, 0, 1, 0, 2, 0, 0, 4, 3], [2, 0, 0, 1, 0, 2, 0, 1, 2, 4], [2, 0, 0, 1, 0, 2, 0, 2, 0, 5], [2, 0, 0, 1, 0, 2, 1, 0, 1, 5], [2, 0, 0, 1, 0, 3, 0, 0, 0, 6], [2, 0, 0, 1, 1, 0, 0, 0, 7, 1], [2, 0, 0, 1, 1, 0, 0, 1, 5, 2], [2, 0, 0, 1, 1, 0, 0, 2, 3, 3], [2, 0, 0, 1, 1, 0, 0, 3, 1, 4], [2, 0, 0, 1, 1, 0, 1, 0, 4, 3], [2, 0, 0, 1, 1, 0, 1, 1, 2, 4], [2, 0, 0, 1, 1, 0, 1, 2, 0, 5], [2, 0, 0, 1, 1, 0, 2, 0, 1, 5], [2, 0, 0, 1, 1, 1, 0, 0, 3, 4], [2, 0, 0, 1, 1, 1, 0, 1, 1, 5], [2, 0, 0, 1, 1, 1, 1, 0, 0, 6], [2, 0, 0, 1, 2, 0, 0, 0, 2, 5], [2, 0, 0, 1, 2, 0, 0, 1, 0, 6], [2, 0, 0, 2, 0, 0, 0, 0, 6, 2], [2, 0, 0, 2, 0, 0, 0, 1, 4, 3], [2, 0, 0, 2, 0, 0, 0, 2, 2, 4], [2, 0, 0, 2, 0, 0, 0, 3, 0, 5], [2, 0, 0, 2, 0, 0, 1, 0, 3, 4], [2, 0, 0, 2, 0, 0, 1, 1, 1, 5], [2, 0, 0, 2, 0, 0, 2, 0, 0, 6], [2, 0, 0, 2, 0, 1, 0, 0, 2, 5], [2, 0, 0, 2, 0, 1, 0, 1, 0, 6], [2, 0, 0, 2, 1, 0, 0, 0, 1, 6], [2, 0, 0, 3, 0, 0, 0, 0, 0, 7], [2, 0, 1, 0, 0, 0, 0, 2, 7, 0], [2, 0, 1, 0, 0, 0, 0, 3, 5, 1], [2, 0, 1, 0, 0, 0, 0, 4, 3, 2], [2, 0, 1, 0, 0, 0, 0, 5, 1, 3], [2, 0, 1, 0, 0, 0, 1, 0, 8, 0], [2, 0, 1, 0, 0, 0, 1, 1, 6, 1], [2, 0, 1, 0, 0, 0, 1, 2, 4, 2], [2, 0, 1, 0, 0, 0, 1, 3, 2, 3], [2, 0, 1, 0, 0, 0, 1, 4, 0, 4], [2, 0, 1, 0, 0, 0, 2, 0, 5, 2], [2, 0, 1, 0, 0, 0, 2, 1, 3, 3], [2, 0, 1, 0, 0, 0, 2, 2, 1, 4], [2, 0, 1, 0, 0, 0, 3, 0, 2, 4], [2, 0, 1, 0, 0, 0, 3, 1, 0, 5], [2, 0, 1, 0, 0, 1, 0, 0, 7, 1], [2, 0, 1, 0, 0, 1, 0, 1, 5, 2], [2, 0, 1, 0, 0, 1, 0, 2, 3, 3], [2, 0, 1, 0, 0, 1, 0, 3, 1, 4], [2, 0, 1, 0, 0, 1, 1, 0, 4, 3], [2, 0, 1, 0, 0, 1, 1, 1, 2, 4], [2, 0, 1, 0, 0, 1, 1, 2, 0, 5], [2, 0, 1, 0, 0, 1, 2, 0, 1, 5], [2, 0, 1, 0, 0, 2, 0, 0, 3, 4], [2, 0, 1, 0, 0, 2, 0, 1, 1, 5], [2, 0, 1, 0, 0, 2, 1, 0, 0, 6], [2, 0, 1, 0, 1, 0, 0, 0, 6, 2], [2, 0, 1, 0, 1, 0, 0, 1, 4, 3], [2, 0, 1, 0, 1, 0, 0, 2, 2, 4], [2, 0, 1, 0, 1, 0, 0, 3, 0, 5], [2, 0, 1, 0, 1, 0, 1, 0, 3, 4], [2, 0, 1, 0, 1, 0, 1, 1, 1, 5], [2, 0, 1, 0, 1, 0, 2, 0, 0, 6], [2, 0, 1, 0, 1, 1, 0, 0, 2, 5], [2, 0, 1, 0, 1, 1, 0, 1, 0, 6], [2, 0, 1, 0, 2, 0, 0, 0, 1, 6], [2, 0, 1, 1, 0, 0, 0, 0, 5, 3], [2, 0, 1, 1, 0, 0, 0, 1, 3, 4], [2, 0, 1, 1, 0, 0, 0, 2, 1, 5], [2, 0, 1, 1, 0, 0, 1, 0, 2, 5], [2, 0, 1, 1, 0, 0, 1, 1, 0, 6], [2, 0, 1, 1, 0, 1, 0, 0, 1, 6], [2, 0, 1, 1, 1, 0, 0, 0, 0, 7], [2, 0, 2, 0, 0, 0, 0, 0, 4, 4], [2, 0, 2, 0, 0, 0, 0, 1, 2, 5], [2, 0, 2, 0, 0, 0, 0, 2, 0, 6], [2, 0, 2, 0, 0, 0, 1, 0, 1, 6], [2, 0, 2, 0, 0, 1, 0, 0, 0, 7], [2, 1, 0, 0, 0, 0, 0, 1, 8, 0], [2, 1, 0, 0, 0, 0, 0, 2, 6, 1], [2, 1, 0, 0, 0, 0, 0, 3, 4, 2], [2, 1, 0, 0, 0, 0, 0, 4, 2, 3], [2, 1, 0, 0, 0, 0, 0, 5, 0, 4], [2, 1, 0, 0, 0, 0, 1, 0, 7, 1], [2, 1, 0, 0, 0, 0, 1, 1, 5, 2], [2, 1, 0, 0, 0, 0, 1, 2, 3, 3], [2, 1, 0, 0, 0, 0, 1, 3, 1, 4], [2, 1, 0, 0, 0, 0, 2, 0, 4, 3], [2, 1, 0, 0, 0, 0, 2, 1, 2, 4], [2, 1, 0, 0, 0, 0, 2, 2, 0, 5], [2, 1, 0, 0, 0, 0, 3, 0, 1, 5], [2, 1, 0, 0, 0, 1, 0, 0, 6, 2], [2, 1, 0, 0, 0, 1, 0, 1, 4, 3], [2, 1, 0, 0, 0, 1, 0, 2, 2, 4], [2, 1, 0, 0, 0, 1, 0, 3, 0, 5], [2, 1, 0, 0, 0, 1, 1, 0, 3, 4], [2, 1, 0, 0, 0, 1, 1, 1, 1, 5], [2, 1, 0, 0, 0, 1, 2, 0, 0, 6], [2, 1, 0, 0, 0, 2, 0, 0, 2, 5], [2, 1, 0, 0, 0, 2, 0, 1, 0, 6], [2, 1, 0, 0, 1, 0, 0, 0, 5, 3], [2, 1, 0, 0, 1, 0, 0, 1, 3, 4], [2, 1, 0, 0, 1, 0, 0, 2, 1, 5], [2, 1, 0, 0, 1, 0, 1, 0, 2, 5], [2, 1, 0, 0, 1, 0, 1, 1, 0, 6], [2, 1, 0, 0, 1, 1, 0, 0, 1, 6], [2, 1, 0, 0, 2, 0, 0, 0, 0, 7], [2, 1, 0, 1, 0, 0, 0, 0, 4, 4], [2, 1, 0, 1, 0, 0, 0, 1, 2, 5], [2, 1, 0, 1, 0, 0, 0, 2, 0, 6], [2, 1, 0, 1, 0, 0, 1, 0, 1, 6], [2, 1, 0, 1, 0, 1, 0, 0, 0, 7], [2, 1, 1, 0, 0, 0, 0, 0, 3, 5], [2, 1, 1, 0, 0, 0, 0, 1, 1, 6], [2, 1, 1, 0, 0, 0, 1, 0, 0, 7], [2, 2, 0, 0, 0, 0, 0, 0, 2, 6], [2, 2, 0, 0, 0, 0, 0, 1, 0, 7], [3, 0, 0, 0, 0, 0, 0, 0, 9, 0], [3, 0, 0, 0, 0, 0, 0, 1, 7, 1], [3, 0, 0, 0, 0, 0, 0, 2, 5, 2], [3, 0, 0, 0, 0, 0, 0, 3, 3, 3], [3, 0, 0, 0, 0, 0, 0, 4, 1, 4], [3, 0, 0, 0, 0, 0, 1, 0, 6, 2], [3, 0, 0, 0, 0, 0, 1, 1, 4, 3], [3, 0, 0, 0, 0, 0, 1, 2, 2, 4], [3, 0, 0, 0, 0, 0, 1, 3, 0, 5], [3, 0, 0, 0, 0, 0, 2, 0, 3, 4], [3, 0, 0, 0, 0, 0, 2, 1, 1, 5], [3, 0, 0, 0, 0, 0, 3, 0, 0, 6], [3, 0, 0, 0, 0, 1, 0, 0, 5, 3], [3, 0, 0, 0, 0, 1, 0, 1, 3, 4], [3, 0, 0, 0, 0, 1, 0, 2, 1, 5], [3, 0, 0, 0, 0, 1, 1, 0, 2, 5], [3, 0, 0, 0, 0, 1, 1, 1, 0, 6], [3, 0, 0, 0, 0, 2, 0, 0, 1, 6], [3, 0, 0, 0, 1, 0, 0, 0, 4, 4], [3, 0, 0, 0, 1, 0, 0, 1, 2, 5], [3, 0, 0, 0, 1, 0, 0, 2, 0, 6], [3, 0, 0, 0, 1, 0, 1, 0, 1, 6], [3, 0, 0, 0, 1, 1, 0, 0, 0, 7], [3, 0, 0, 1, 0, 0, 0, 0, 3, 5], [3, 0, 0, 1, 0, 0, 0, 1, 1, 6], [3, 0, 0, 1, 0, 0, 1, 0, 0, 7], [3, 0, 1, 0, 0, 0, 0, 0, 2, 6], [3, 0, 1, 0, 0, 0, 0, 1, 0, 7], [3, 1, 0, 0, 0, 0, 0, 0, 1, 7], [4, 0, 0, 0, 0, 0, 0, 0, 0, 8]} (10, 12, 1) has 7363 possible DDs: {[0, 0, 0, 0, 0, 0, 4, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 6, 1, 0, 0], [0, 0, 0, 0, 0, 0, 6, 4, 2, 0, 0], [0, 0, 0, 0, 0, 0, 6, 5, 0, 1, 0], [0, 0, 0, 0, 0, 0, 7, 2, 3, 0, 0], [0, 0, 0, 0, 0, 0, 7, 3, 1, 1, 0], [0, 0, 0, 0, 0, 0, 7, 4, 0, 0, 1], [0, 0, 0, 0, 0, 0, 8, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 8, 1, 2, 1, 0], [0, 0, 0, 0, 0, 0, 8, 2, 0, 2, 0], [0, 0, 0, 0, 0, 0, 8, 2, 1, 0, 1], [0, 0, 0, 0, 0, 0, 9, 0, 1, 2, 0], [0, 0, 0, 0, 0, 0, 9, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 9, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 2], [0, 0, 0, 0, 0, 1, 2, 9, 0, 0, 0], [0, 0, 0, 0, 0, 1, 3, 7, 1, 0, 0], [0, 0, 0, 0, 0, 1, 4, 5, 2, 0, 0], [0, 0, 0, 0, 0, 1, 4, 6, 0, 1, 0], [0, 0, 0, 0, 0, 1, 5, 3, 3, 0, 0], [0, 0, 0, 0, 0, 1, 5, 4, 1, 1, 0], [0, 0, 0, 0, 0, 1, 5, 5, 0, 0, 1], [0, 0, 0, 0, 0, 1, 6, 1, 4, 0, 0], [0, 0, 0, 0, 0, 1, 6, 2, 2, 1, 0], [0, 0, 0, 0, 0, 1, 6, 3, 0, 2, 0], [0, 0, 0, 0, 0, 1, 6, 3, 1, 0, 1], [0, 0, 0, 0, 0, 1, 7, 0, 3, 1, 0], [0, 0, 0, 0, 0, 1, 7, 1, 1, 2, 0], [0, 0, 0, 0, 0, 1, 7, 1, 2, 0, 1], [0, 0, 0, 0, 0, 1, 7, 2, 0, 1, 1], [0, 0, 0, 0, 0, 1, 8, 0, 0, 3, 0], [0, 0, 0, 0, 0, 1, 8, 0, 1, 1, 1], [0, 0, 0, 0, 0, 1, 8, 1, 0, 0, 2], [0, 0, 0, 0, 0, 2, 0, 10, 0, 0, 0], [0, 0, 0, 0, 0, 2, 1, 8, 1, 0, 0], [0, 0, 0, 0, 0, 2, 2, 6, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 7, 0, 1, 0], [0, 0, 0, 0, 0, 2, 3, 4, 3, 0, 0], [0, 0, 0, 0, 0, 2, 3, 5, 1, 1, 0], [0, 0, 0, 0, 0, 2, 3, 6, 0, 0, 1], [0, 0, 0, 0, 0, 2, 4, 2, 4, 0, 0], [0, 0, 0, 0, 0, 2, 4, 3, 2, 1, 0], [0, 0, 0, 0, 0, 2, 4, 4, 0, 2, 0], [0, 0, 0, 0, 0, 2, 4, 4, 1, 0, 1], [0, 0, 0, 0, 0, 2, 5, 0, 5, 0, 0], [0, 0, 0, 0, 0, 2, 5, 1, 3, 1, 0], [0, 0, 0, 0, 0, 2, 5, 2, 1, 2, 0], [0, 0, 0, 0, 0, 2, 5, 2, 2, 0, 1], [0, 0, 0, 0, 0, 2, 5, 3, 0, 1, 1], [0, 0, 0, 0, 0, 2, 6, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 6, 0, 3, 0, 1], [0, 0, 0, 0, 0, 2, 6, 1, 0, 3, 0], [0, 0, 0, 0, 0, 2, 6, 1, 1, 1, 1], [0, 0, 0, 0, 0, 2, 6, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 7, 0, 0, 2, 1], [0, 0, 0, 0, 0, 2, 7, 0, 1, 0, 2], [0, 0, 0, 0, 0, 3, 0, 7, 2, 0, 0], [0, 0, 0, 0, 0, 3, 0, 8, 0, 1, 0], [0, 0, 0, 0, 0, 3, 1, 5, 3, 0, 0], [0, 0, 0, 0, 0, 3, 1, 6, 1, 1, 0], [0, 0, 0, 0, 0, 3, 1, 7, 0, 0, 1], [0, 0, 0, 0, 0, 3, 2, 3, 4, 0, 0], [0, 0, 0, 0, 0, 3, 2, 4, 2, 1, 0], [0, 0, 0, 0, 0, 3, 2, 5, 0, 2, 0], [0, 0, 0, 0, 0, 3, 2, 5, 1, 0, 1], [0, 0, 0, 0, 0, 3, 3, 1, 5, 0, 0], [0, 0, 0, 0, 0, 3, 3, 2, 3, 1, 0], [0, 0, 0, 0, 0, 3, 3, 3, 1, 2, 0], [0, 0, 0, 0, 0, 3, 3, 3, 2, 0, 1], [0, 0, 0, 0, 0, 3, 3, 4, 0, 1, 1], [0, 0, 0, 0, 0, 3, 4, 0, 4, 1, 0], [0, 0, 0, 0, 0, 3, 4, 1, 2, 2, 0], [0, 0, 0, 0, 0, 3, 4, 1, 3, 0, 1], [0, 0, 0, 0, 0, 3, 4, 2, 0, 3, 0], [0, 0, 0, 0, 0, 3, 4, 2, 1, 1, 1], [0, 0, 0, 0, 0, 3, 4, 3, 0, 0, 2], [0, 0, 0, 0, 0, 3, 5, 0, 1, 3, 0], [0, 0, 0, 0, 0, 3, 5, 0, 2, 1, 1], [0, 0, 0, 0, 0, 3, 5, 1, 0, 2, 1], [0, 0, 0, 0, 0, 3, 5, 1, 1, 0, 2], [0, 0, 0, 0, 0, 3, 6, 0, 0, 1, 2], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 4, 0, 5, 2, 1, 0], [0, 0, 0, 0, 0, 4, 0, 6, 0, 2, 0], [0, 0, 0, 0, 0, 4, 0, 6, 1, 0, 1], [0, 0, 0, 0, 0, 4, 1, 2, 5, 0, 0], [0, 0, 0, 0, 0, 4, 1, 3, 3, 1, 0], [0, 0, 0, 0, 0, 4, 1, 4, 1, 2, 0], [0, 0, 0, 0, 0, 4, 1, 4, 2, 0, 1], [0, 0, 0, 0, 0, 4, 1, 5, 0, 1, 1], [0, 0, 0, 0, 0, 4, 2, 0, 6, 0, 0], [0, 0, 0, 0, 0, 4, 2, 1, 4, 1, 0], [0, 0, 0, 0, 0, 4, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 4, 2, 2, 3, 0, 1], [0, 0, 0, 0, 0, 4, 2, 3, 0, 3, 0], [0, 0, 0, 0, 0, 4, 2, 3, 1, 1, 1], [0, 0, 0, 0, 0, 4, 2, 4, 0, 0, 2], [0, 0, 0, 0, 0, 4, 3, 0, 3, 2, 0], [0, 0, 0, 0, 0, 4, 3, 0, 4, 0, 1], [0, 0, 0, 0, 0, 4, 3, 1, 1, 3, 0], [0, 0, 0, 0, 0, 4, 3, 1, 2, 1, 1], [0, 0, 0, 0, 0, 4, 3, 2, 0, 2, 1], [0, 0, 0, 0, 0, 4, 3, 2, 1, 0, 2], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 1], [0, 0, 0, 0, 0, 4, 4, 0, 2, 0, 2], [0, 0, 0, 0, 0, 4, 4, 1, 0, 1, 2], [0, 0, 0, 0, 0, 4, 5, 0, 0, 0, 3], [0, 0, 0, 0, 0, 5, 0, 1, 6, 0, 0], [0, 0, 0, 0, 0, 5, 0, 2, 4, 1, 0], [0, 0, 0, 0, 0, 5, 0, 3, 2, 2, 0], [0, 0, 0, 0, 0, 5, 0, 3, 3, 0, 1], [0, 0, 0, 0, 0, 5, 0, 4, 0, 3, 0], [0, 0, 0, 0, 0, 5, 0, 4, 1, 1, 1], [0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 2], [0, 0, 0, 0, 0, 5, 1, 0, 5, 1, 0], [0, 0, 0, 0, 0, 5, 1, 1, 3, 2, 0], [0, 0, 0, 0, 0, 5, 1, 1, 4, 0, 1], [0, 0, 0, 0, 0, 5, 1, 2, 1, 3, 0], [0, 0, 0, 0, 0, 5, 1, 2, 2, 1, 1], [0, 0, 0, 0, 0, 5, 1, 3, 0, 2, 1], [0, 0, 0, 0, 0, 5, 1, 3, 1, 0, 2], [0, 0, 0, 0, 0, 5, 2, 0, 2, 3, 0], [0, 0, 0, 0, 0, 5, 2, 0, 3, 1, 1], [0, 0, 0, 0, 0, 5, 2, 1, 0, 4, 0], [0, 0, 0, 0, 0, 5, 2, 1, 1, 2, 1], [0, 0, 0, 0, 0, 5, 2, 1, 2, 0, 2], [0, 0, 0, 0, 0, 5, 2, 2, 0, 1, 2], [0, 0, 0, 0, 0, 5, 3, 0, 0, 3, 1], [0, 0, 0, 0, 0, 5, 3, 0, 1, 1, 2], [0, 0, 0, 0, 0, 5, 3, 1, 0, 0, 3], [0, 0, 0, 0, 0, 6, 0, 0, 4, 2, 0], [0, 0, 0, 0, 0, 6, 0, 0, 5, 0, 1], [0, 0, 0, 0, 0, 6, 0, 1, 2, 3, 0], [0, 0, 0, 0, 0, 6, 0, 1, 3, 1, 1], [0, 0, 0, 0, 0, 6, 0, 2, 0, 4, 0], [0, 0, 0, 0, 0, 6, 0, 2, 1, 2, 1], [0, 0, 0, 0, 0, 6, 0, 2, 2, 0, 2], [0, 0, 0, 0, 0, 6, 0, 3, 0, 1, 2], [0, 0, 0, 0, 0, 6, 1, 0, 1, 4, 0], [0, 0, 0, 0, 0, 6, 1, 0, 2, 2, 1], [0, 0, 0, 0, 0, 6, 1, 0, 3, 0, 2], [0, 0, 0, 0, 0, 6, 1, 1, 0, 3, 1], [0, 0, 0, 0, 0, 6, 1, 1, 1, 1, 2], [0, 0, 0, 0, 0, 6, 1, 2, 0, 0, 3], [0, 0, 0, 0, 0, 6, 2, 0, 0, 2, 2], [0, 0, 0, 0, 0, 6, 2, 0, 1, 0, 3], [0, 0, 0, 0, 0, 7, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 7, 0, 0, 1, 3, 1], [0, 0, 0, 0, 0, 7, 0, 0, 2, 1, 2], [0, 0, 0, 0, 0, 7, 0, 1, 0, 2, 2], [0, 0, 0, 0, 0, 7, 0, 1, 1, 0, 3], [0, 0, 0, 0, 0, 7, 1, 0, 0, 1, 3], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 4], [0, 0, 0, 0, 1, 0, 1, 10, 0, 0, 0], [0, 0, 0, 0, 1, 0, 2, 8, 1, 0, 0], [0, 0, 0, 0, 1, 0, 3, 6, 2, 0, 0], [0, 0, 0, 0, 1, 0, 3, 7, 0, 1, 0], [0, 0, 0, 0, 1, 0, 4, 4, 3, 0, 0], [0, 0, 0, 0, 1, 0, 4, 5, 1, 1, 0], [0, 0, 0, 0, 1, 0, 4, 6, 0, 0, 1], [0, 0, 0, 0, 1, 0, 5, 2, 4, 0, 0], [0, 0, 0, 0, 1, 0, 5, 3, 2, 1, 0], [0, 0, 0, 0, 1, 0, 5, 4, 0, 2, 0], [0, 0, 0, 0, 1, 0, 5, 4, 1, 0, 1], [0, 0, 0, 0, 1, 0, 6, 0, 5, 0, 0], [0, 0, 0, 0, 1, 0, 6, 1, 3, 1, 0], [0, 0, 0, 0, 1, 0, 6, 2, 1, 2, 0], [0, 0, 0, 0, 1, 0, 6, 2, 2, 0, 1], [0, 0, 0, 0, 1, 0, 6, 3, 0, 1, 1], [0, 0, 0, 0, 1, 0, 7, 0, 2, 2, 0], [0, 0, 0, 0, 1, 0, 7, 0, 3, 0, 1], [0, 0, 0, 0, 1, 0, 7, 1, 0, 3, 0], [0, 0, 0, 0, 1, 0, 7, 1, 1, 1, 1], [0, 0, 0, 0, 1, 0, 7, 2, 0, 0, 2], [0, 0, 0, 0, 1, 0, 8, 0, 0, 2, 1], [0, 0, 0, 0, 1, 0, 8, 0, 1, 0, 2], [0, 0, 0, 0, 1, 1, 0, 9, 1, 0, 0], [0, 0, 0, 0, 1, 1, 1, 7, 2, 0, 0], [0, 0, 0, 0, 1, 1, 1, 8, 0, 1, 0], [0, 0, 0, 0, 1, 1, 2, 5, 3, 0, 0], [0, 0, 0, 0, 1, 1, 2, 6, 1, 1, 0], [0, 0, 0, 0, 1, 1, 2, 7, 0, 0, 1], [0, 0, 0, 0, 1, 1, 3, 3, 4, 0, 0], [0, 0, 0, 0, 1, 1, 3, 4, 2, 1, 0], [0, 0, 0, 0, 1, 1, 3, 5, 0, 2, 0], [0, 0, 0, 0, 1, 1, 3, 5, 1, 0, 1], [0, 0, 0, 0, 1, 1, 4, 1, 5, 0, 0], [0, 0, 0, 0, 1, 1, 4, 2, 3, 1, 0], [0, 0, 0, 0, 1, 1, 4, 3, 1, 2, 0], [0, 0, 0, 0, 1, 1, 4, 3, 2, 0, 1], [0, 0, 0, 0, 1, 1, 4, 4, 0, 1, 1], [0, 0, 0, 0, 1, 1, 5, 0, 4, 1, 0], [0, 0, 0, 0, 1, 1, 5, 1, 2, 2, 0], [0, 0, 0, 0, 1, 1, 5, 1, 3, 0, 1], [0, 0, 0, 0, 1, 1, 5, 2, 0, 3, 0], [0, 0, 0, 0, 1, 1, 5, 2, 1, 1, 1], [0, 0, 0, 0, 1, 1, 5, 3, 0, 0, 2], [0, 0, 0, 0, 1, 1, 6, 0, 1, 3, 0], [0, 0, 0, 0, 1, 1, 6, 0, 2, 1, 1], [0, 0, 0, 0, 1, 1, 6, 1, 0, 2, 1], [0, 0, 0, 0, 1, 1, 6, 1, 1, 0, 2], [0, 0, 0, 0, 1, 1, 7, 0, 0, 1, 2], [0, 0, 0, 0, 1, 2, 0, 6, 3, 0, 0], [0, 0, 0, 0, 1, 2, 0, 7, 1, 1, 0], [0, 0, 0, 0, 1, 2, 0, 8, 0, 0, 1], [0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0], [0, 0, 0, 0, 1, 2, 1, 5, 2, 1, 0], [0, 0, 0, 0, 1, 2, 1, 6, 0, 2, 0], [0, 0, 0, 0, 1, 2, 1, 6, 1, 0, 1], [0, 0, 0, 0, 1, 2, 2, 2, 5, 0, 0], [0, 0, 0, 0, 1, 2, 2, 3, 3, 1, 0], [0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 0], [0, 0, 0, 0, 1, 2, 2, 4, 2, 0, 1], [0, 0, 0, 0, 1, 2, 2, 5, 0, 1, 1], [0, 0, 0, 0, 1, 2, 3, 0, 6, 0, 0], [0, 0, 0, 0, 1, 2, 3, 1, 4, 1, 0], [0, 0, 0, 0, 1, 2, 3, 2, 2, 2, 0], [0, 0, 0, 0, 1, 2, 3, 2, 3, 0, 1], [0, 0, 0, 0, 1, 2, 3, 3, 0, 3, 0], [0, 0, 0, 0, 1, 2, 3, 3, 1, 1, 1], [0, 0, 0, 0, 1, 2, 3, 4, 0, 0, 2], [0, 0, 0, 0, 1, 2, 4, 0, 3, 2, 0], [0, 0, 0, 0, 1, 2, 4, 0, 4, 0, 1], [0, 0, 0, 0, 1, 2, 4, 1, 1, 3, 0], [0, 0, 0, 0, 1, 2, 4, 1, 2, 1, 1], [0, 0, 0, 0, 1, 2, 4, 2, 0, 2, 1], [0, 0, 0, 0, 1, 2, 4, 2, 1, 0, 2], [0, 0, 0, 0, 1, 2, 5, 0, 0, 4, 0], [0, 0, 0, 0, 1, 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0, 4, 0, 1, 4], [2, 0, 0, 1, 0, 0, 1, 0, 1, 7, 0], [2, 0, 0, 1, 0, 0, 1, 0, 2, 5, 1], [2, 0, 0, 1, 0, 0, 1, 0, 3, 3, 2], [2, 0, 0, 1, 0, 0, 1, 0, 4, 1, 3], [2, 0, 0, 1, 0, 0, 1, 1, 0, 6, 1], [2, 0, 0, 1, 0, 0, 1, 1, 1, 4, 2], [2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 3], [2, 0, 0, 1, 0, 0, 1, 1, 3, 0, 4], [2, 0, 0, 1, 0, 0, 1, 2, 0, 3, 3], [2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 4], [2, 0, 0, 1, 0, 0, 1, 3, 0, 0, 5], [2, 0, 0, 1, 0, 0, 2, 0, 0, 5, 2], [2, 0, 0, 1, 0, 0, 2, 0, 1, 3, 3], [2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 4], [2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 4], [2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 5], [2, 0, 0, 1, 0, 0, 3, 0, 0, 1, 5], [2, 0, 0, 1, 0, 1, 0, 0, 0, 8, 0], [2, 0, 0, 1, 0, 1, 0, 0, 1, 6, 1], [2, 0, 0, 1, 0, 1, 0, 0, 2, 4, 2], [2, 0, 0, 1, 0, 1, 0, 0, 3, 2, 3], [2, 0, 0, 1, 0, 1, 0, 0, 4, 0, 4], [2, 0, 0, 1, 0, 1, 0, 1, 0, 5, 2], [2, 0, 0, 1, 0, 1, 0, 1, 1, 3, 3], [2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 4], [2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 4], [2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 5], [2, 0, 0, 1, 0, 1, 1, 0, 0, 4, 3], [2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 4], [2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 5], [2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 5], [2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 6], [2, 0, 0, 1, 0, 2, 0, 0, 0, 3, 4], [2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 5], [2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 6], [2, 0, 0, 1, 1, 0, 0, 0, 0, 7, 1], [2, 0, 0, 1, 1, 0, 0, 0, 1, 5, 2], [2, 0, 0, 1, 1, 0, 0, 0, 2, 3, 3], [2, 0, 0, 1, 1, 0, 0, 0, 3, 1, 4], [2, 0, 0, 1, 1, 0, 0, 1, 0, 4, 3], [2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 4], [2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 5], [2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 5], [2, 0, 0, 1, 1, 0, 1, 0, 0, 3, 4], [2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 5], [2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 6], [2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 5], [2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 6], [2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 6], [2, 0, 0, 2, 0, 0, 0, 0, 0, 6, 2], [2, 0, 0, 2, 0, 0, 0, 0, 1, 4, 3], [2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 4], [2, 0, 0, 2, 0, 0, 0, 0, 3, 0, 5], [2, 0, 0, 2, 0, 0, 0, 1, 0, 3, 4], [2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 5], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 6], [2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 5], [2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 6], [2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 6], [2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 7], [2, 0, 1, 0, 0, 0, 0, 0, 3, 6, 0], [2, 0, 1, 0, 0, 0, 0, 0, 4, 4, 1], [2, 0, 1, 0, 0, 0, 0, 0, 5, 2, 2], [2, 0, 1, 0, 0, 0, 0, 0, 6, 0, 3], [2, 0, 1, 0, 0, 0, 0, 1, 1, 7, 0], [2, 0, 1, 0, 0, 0, 0, 1, 2, 5, 1], [2, 0, 1, 0, 0, 0, 0, 1, 3, 3, 2], [2, 0, 1, 0, 0, 0, 0, 1, 4, 1, 3], [2, 0, 1, 0, 0, 0, 0, 2, 0, 6, 1], [2, 0, 1, 0, 0, 0, 0, 2, 1, 4, 2], [2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 3], [2, 0, 1, 0, 0, 0, 0, 2, 3, 0, 4], [2, 0, 1, 0, 0, 0, 0, 3, 0, 3, 3], [2, 0, 1, 0, 0, 0, 0, 3, 1, 1, 4], [2, 0, 1, 0, 0, 0, 0, 4, 0, 0, 5], [2, 0, 1, 0, 0, 0, 1, 0, 0, 8, 0], [2, 0, 1, 0, 0, 0, 1, 0, 1, 6, 1], [2, 0, 1, 0, 0, 0, 1, 0, 2, 4, 2], [2, 0, 1, 0, 0, 0, 1, 0, 3, 2, 3], [2, 0, 1, 0, 0, 0, 1, 0, 4, 0, 4], [2, 0, 1, 0, 0, 0, 1, 1, 0, 5, 2], [2, 0, 1, 0, 0, 0, 1, 1, 1, 3, 3], [2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 4], [2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 4], [2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 5], [2, 0, 1, 0, 0, 0, 2, 0, 0, 4, 3], [2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 4], [2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 5], [2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 5], [2, 0, 1, 0, 0, 0, 3, 0, 0, 0, 6], [2, 0, 1, 0, 0, 1, 0, 0, 0, 7, 1], [2, 0, 1, 0, 0, 1, 0, 0, 1, 5, 2], [2, 0, 1, 0, 0, 1, 0, 0, 2, 3, 3], [2, 0, 1, 0, 0, 1, 0, 0, 3, 1, 4], [2, 0, 1, 0, 0, 1, 0, 1, 0, 4, 3], [2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 4], [2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 5], [2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 5], [2, 0, 1, 0, 0, 1, 1, 0, 0, 3, 4], [2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 5], [2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 6], [2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 5], [2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 6], [2, 0, 1, 0, 1, 0, 0, 0, 0, 6, 2], [2, 0, 1, 0, 1, 0, 0, 0, 1, 4, 3], [2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 4], [2, 0, 1, 0, 1, 0, 0, 0, 3, 0, 5], [2, 0, 1, 0, 1, 0, 0, 1, 0, 3, 4], [2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 5], [2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 6], [2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 5], [2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 6], [2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 6], [2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 7], [2, 0, 1, 1, 0, 0, 0, 0, 0, 5, 3], [2, 0, 1, 1, 0, 0, 0, 0, 1, 3, 4], [2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 5], [2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 5], [2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 6], [2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 6], [2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 7], [2, 0, 2, 0, 0, 0, 0, 0, 0, 4, 4], [2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 5], [2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 6], [2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 6], [2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 7], [2, 1, 0, 0, 0, 0, 0, 0, 2, 7, 0], [2, 1, 0, 0, 0, 0, 0, 0, 3, 5, 1], [2, 1, 0, 0, 0, 0, 0, 0, 4, 3, 2], [2, 1, 0, 0, 0, 0, 0, 0, 5, 1, 3], [2, 1, 0, 0, 0, 0, 0, 1, 0, 8, 0], [2, 1, 0, 0, 0, 0, 0, 1, 1, 6, 1], [2, 1, 0, 0, 0, 0, 0, 1, 2, 4, 2], [2, 1, 0, 0, 0, 0, 0, 1, 3, 2, 3], [2, 1, 0, 0, 0, 0, 0, 1, 4, 0, 4], [2, 1, 0, 0, 0, 0, 0, 2, 0, 5, 2], [2, 1, 0, 0, 0, 0, 0, 2, 1, 3, 3], [2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 4], [2, 1, 0, 0, 0, 0, 0, 3, 0, 2, 4], [2, 1, 0, 0, 0, 0, 0, 3, 1, 0, 5], [2, 1, 0, 0, 0, 0, 1, 0, 0, 7, 1], [2, 1, 0, 0, 0, 0, 1, 0, 1, 5, 2], [2, 1, 0, 0, 0, 0, 1, 0, 2, 3, 3], [2, 1, 0, 0, 0, 0, 1, 0, 3, 1, 4], [2, 1, 0, 0, 0, 0, 1, 1, 0, 4, 3], [2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 4], [2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 5], [2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 5], [2, 1, 0, 0, 0, 0, 2, 0, 0, 3, 4], [2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 5], [2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 6], [2, 1, 0, 0, 0, 1, 0, 0, 0, 6, 2], [2, 1, 0, 0, 0, 1, 0, 0, 1, 4, 3], [2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 4], [2, 1, 0, 0, 0, 1, 0, 0, 3, 0, 5], [2, 1, 0, 0, 0, 1, 0, 1, 0, 3, 4], [2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 5], [2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 6], [2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 5], [2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 6], [2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 6], [2, 1, 0, 0, 1, 0, 0, 0, 0, 5, 3], [2, 1, 0, 0, 1, 0, 0, 0, 1, 3, 4], [2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 5], [2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 5], [2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 6], [2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 6], [2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 7], [2, 1, 0, 1, 0, 0, 0, 0, 0, 4, 4], [2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 5], [2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 6], [2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 6], [2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 7], [2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 5], [2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 6], [2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 7], [2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 6], [2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 7], [3, 0, 0, 0, 0, 0, 0, 0, 1, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 2, 6, 1], [3, 0, 0, 0, 0, 0, 0, 0, 3, 4, 2], [3, 0, 0, 0, 0, 0, 0, 0, 4, 2, 3], [3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 4], [3, 0, 0, 0, 0, 0, 0, 1, 0, 7, 1], [3, 0, 0, 0, 0, 0, 0, 1, 1, 5, 2], [3, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3], [3, 0, 0, 0, 0, 0, 0, 1, 3, 1, 4], [3, 0, 0, 0, 0, 0, 0, 2, 0, 4, 3], [3, 0, 0, 0, 0, 0, 0, 2, 1, 2, 4], [3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 5], [3, 0, 0, 0, 0, 0, 0, 3, 0, 1, 5], [3, 0, 0, 0, 0, 0, 1, 0, 0, 6, 2], [3, 0, 0, 0, 0, 0, 1, 0, 1, 4, 3], [3, 0, 0, 0, 0, 0, 1, 0, 2, 2, 4], [3, 0, 0, 0, 0, 0, 1, 0, 3, 0, 5], [3, 0, 0, 0, 0, 0, 1, 1, 0, 3, 4], [3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 5], [3, 0, 0, 0, 0, 0, 1, 2, 0, 0, 6], [3, 0, 0, 0, 0, 0, 2, 0, 0, 2, 5], [3, 0, 0, 0, 0, 0, 2, 0, 1, 0, 6], [3, 0, 0, 0, 0, 1, 0, 0, 0, 5, 3], [3, 0, 0, 0, 0, 1, 0, 0, 1, 3, 4], [3, 0, 0, 0, 0, 1, 0, 0, 2, 1, 5], [3, 0, 0, 0, 0, 1, 0, 1, 0, 2, 5], [3, 0, 0, 0, 0, 1, 0, 1, 1, 0, 6], [3, 0, 0, 0, 0, 1, 1, 0, 0, 1, 6], [3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 7], [3, 0, 0, 0, 1, 0, 0, 0, 0, 4, 4], [3, 0, 0, 0, 1, 0, 0, 0, 1, 2, 5], [3, 0, 0, 0, 1, 0, 0, 0, 2, 0, 6], [3, 0, 0, 0, 1, 0, 0, 1, 0, 1, 6], [3, 0, 0, 0, 1, 0, 1, 0, 0, 0, 7], [3, 0, 0, 1, 0, 0, 0, 0, 0, 3, 5], [3, 0, 0, 1, 0, 0, 0, 0, 1, 1, 6], [3, 0, 0, 1, 0, 0, 0, 1, 0, 0, 7], [3, 0, 1, 0, 0, 0, 0, 0, 0, 2, 6], [3, 0, 1, 0, 0, 0, 0, 0, 1, 0, 7], [3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 7], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8]} (11, 12, 1) has 13703 possible DDs: {[0, 0, 0, 0, 0, 0, 0, 8, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 6, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 7, 3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 1, 8, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 9, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 9, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 4, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 5, 4, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 6, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 6, 3, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 7, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 2, 7, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 2, 7, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 8, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 3, 2, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 5, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 4, 3, 2, 0, 0], [0, 0, 0, 0, 0, 0, 3, 4, 4, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 5, 1, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 5, 2, 1, 1, 0], [0, 0, 0, 0, 0, 0, 3, 5, 3, 0, 0, 1], [0, 0, 0, 0, 0, 0, 3, 6, 0, 2, 1, 0], [0, 0, 0, 0, 0, 0, 3, 6, 1, 0, 2, 0], [0, 0, 0, 0, 0, 0, 3, 6, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 3, 7, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 1, 6, 1, 0, 0], [0, 0, 0, 0, 0, 0, 4, 2, 4, 2, 0, 0], [0, 0, 0, 0, 0, 0, 4, 2, 5, 0, 1, 0], [0, 0, 0, 0, 0, 0, 4, 3, 2, 3, 0, 0], [0, 0, 0, 0, 0, 0, 4, 3, 3, 1, 1, 0], [0, 0, 0, 0, 0, 0, 4, 3, 4, 0, 0, 1], [0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 1, 2, 1, 0], [0, 0, 0, 0, 0, 0, 4, 4, 2, 0, 2, 0], [0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 0, 1], [0, 0, 0, 0, 0, 0, 4, 5, 0, 1, 2, 0], [0, 0, 0, 0, 0, 0, 4, 5, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 4, 5, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 4, 6, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 5, 0, 5, 2, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 6, 0, 1, 0], [0, 0, 0, 0, 0, 0, 5, 1, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 5, 1, 4, 1, 1, 0], [0, 0, 0, 0, 0, 0, 5, 1, 5, 0, 0, 1], [0, 0, 0, 0, 0, 0, 5, 2, 1, 4, 0, 0], [0, 0, 0, 0, 0, 0, 5, 2, 2, 2, 1, 0], [0, 0, 0, 0, 0, 0, 5, 2, 3, 0, 2, 0], [0, 0, 0, 0, 0, 0, 5, 2, 3, 1, 0, 1], [0, 0, 0, 0, 0, 0, 5, 3, 0, 3, 1, 0], [0, 0, 0, 0, 0, 0, 5, 3, 1, 1, 2, 0], [0, 0, 0, 0, 0, 0, 5, 3, 1, 2, 0, 1], [0, 0, 0, 0, 0, 0, 5, 3, 2, 0, 1, 1], [0, 0, 0, 0, 0, 0, 5, 4, 0, 0, 3, 0], 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0, 2, 0, 0, 0, 0, 2, 5], [2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 6], [2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 7, 1], [2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 5, 2], [2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 3, 3], [2, 0, 0, 1, 1, 0, 0, 0, 0, 3, 1, 4], [2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 4, 3], [2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 4], [2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 5], [2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 5], [2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 3, 4], [2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 5], [2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 6], [2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 5], [2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 6], [2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 6], [2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 7], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 6, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 4, 3], [2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 4], [2, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 5], [2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 3, 4], [2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 5], [2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 6], [2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 5], [2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 6], [2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 6], [2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 7], [2, 0, 1, 0, 0, 0, 0, 0, 0, 4, 5, 0], [2, 0, 1, 0, 0, 0, 0, 0, 0, 5, 3, 1], [2, 0, 1, 0, 0, 0, 0, 0, 0, 6, 1, 2], [2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 6, 0], [2, 0, 1, 0, 0, 0, 0, 0, 1, 3, 4, 1], [2, 0, 1, 0, 0, 0, 0, 0, 1, 4, 2, 2], [2, 0, 1, 0, 0, 0, 0, 0, 1, 5, 0, 3], [2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 7, 0], [2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 5, 1], [2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 3, 2], [2, 0, 1, 0, 0, 0, 0, 0, 2, 3, 1, 3], [2, 0, 1, 0, 0, 0, 0, 0, 3, 0, 4, 2], [2, 0, 1, 0, 0, 0, 0, 0, 3, 1, 2, 3], [2, 0, 1, 0, 0, 0, 0, 0, 3, 2, 0, 4], [2, 0, 1, 0, 0, 0, 0, 0, 4, 0, 1, 4], [2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 7, 0], [2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 5, 1], [2, 0, 1, 0, 0, 0, 0, 1, 0, 3, 3, 2], [2, 0, 1, 0, 0, 0, 0, 1, 0, 4, 1, 3], [2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 6, 1], [2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 4, 2], [2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 3], [2, 0, 1, 0, 0, 0, 0, 1, 1, 3, 0, 4], [2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 3, 3], [2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 4], [2, 0, 1, 0, 0, 0, 0, 1, 3, 0, 0, 5], [2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 5, 2], [2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 3, 3], [2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 4], [2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 4], [2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 5], [2, 0, 1, 0, 0, 0, 0, 3, 0, 0, 1, 5], [2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 8, 0], [2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 6, 1], [2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 4, 2], [2, 0, 1, 0, 0, 0, 1, 0, 0, 3, 2, 3], [2, 0, 1, 0, 0, 0, 1, 0, 0, 4, 0, 4], [2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 5, 2], [2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 3, 3], [2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 4], [2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 4], [2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 5], [2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 4, 3], [2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 4], [2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 5], [2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 5], [2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 6], [2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 3, 4], [2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 5], [2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 6], [2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 7, 1], [2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 5, 2], [2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 3, 3], [2, 0, 1, 0, 0, 1, 0, 0, 0, 3, 1, 4], [2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 4, 3], [2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 4], [2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 5], [2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 5], [2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 3, 4], [2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 5], [2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 6], [2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 5], [2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 6], [2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 6], [2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 6, 2], [2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 4, 3], [2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 4], [2, 0, 1, 0, 1, 0, 0, 0, 0, 3, 0, 5], [2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 3, 4], [2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 5], [2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 6], [2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 5], [2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 6], [2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 6], [2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 7], [2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 5, 3], [2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 3, 4], [2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 5], [2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 5], [2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 6], [2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 6], [2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 7], [2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 4], [2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 5], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 6], [2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 6], [2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 7], [2, 1, 0, 0, 0, 0, 0, 0, 0, 3, 6, 0], [2, 1, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1], [2, 1, 0, 0, 0, 0, 0, 0, 0, 5, 2, 2], [2, 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3], [2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 7, 0], [2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 5, 1], [2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 3, 2], [2, 1, 0, 0, 0, 0, 0, 0, 1, 4, 1, 3], [2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 6, 1], [2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 4, 2], [2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3], [2, 1, 0, 0, 0, 0, 0, 0, 2, 3, 0, 4], [2, 1, 0, 0, 0, 0, 0, 0, 3, 0, 3, 3], [2, 1, 0, 0, 0, 0, 0, 0, 3, 1, 1, 4], [2, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5], [2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 8, 0], [2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 6, 1], [2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 4, 2], [2, 1, 0, 0, 0, 0, 0, 1, 0, 3, 2, 3], [2, 1, 0, 0, 0, 0, 0, 1, 0, 4, 0, 4], [2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 5, 2], [2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3], [2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 4], [2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 4], [2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 5], [2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 4, 3], [2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 4], [2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 5], [2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 5], [2, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 6], [2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 7, 1], [2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 5, 2], [2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 3, 3], [2, 1, 0, 0, 0, 0, 1, 0, 0, 3, 1, 4], [2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 4, 3], [2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 4], [2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 5], [2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 5], [2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 3, 4], [2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 5], [2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 6], [2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 5], [2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 6], [2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 6, 2], [2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4, 3], [2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 4], [2, 1, 0, 0, 0, 1, 0, 0, 0, 3, 0, 5], [2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 3, 4], [2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 5], [2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 6], [2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 5], [2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 6], [2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 6], [2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7], [2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 5, 3], [2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 3, 4], [2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 5], [2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 5], [2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 6], [2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 6], [2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 7], [2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 4, 4], [2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 5], [2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 6], [2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 6], [2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 7], [2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 5], [2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 6], [2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 7], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6], [2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 7], [3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 5, 1], [3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 3, 2], [3, 0, 0, 0, 0, 0, 0, 0, 0, 5, 1, 3], [3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 6, 1], [3, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 2], [3, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2, 3], [3, 0, 0, 0, 0, 0, 0, 0, 1, 4, 0, 4], [3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 5, 2], [3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4], [3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, 4], [3, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 5], [3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 7, 1], [3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 5, 2], [3, 0, 0, 0, 0, 0, 0, 1, 0, 2, 3, 3], [3, 0, 0, 0, 0, 0, 0, 1, 0, 3, 1, 4], [3, 0, 0, 0, 0, 0, 0, 1, 1, 0, 4, 3], [3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4], [3, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 5], [3, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 4], [3, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 5], [3, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 6], [3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 2], [3, 0, 0, 0, 0, 0, 1, 0, 0, 1, 4, 3], [3, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 4], [3, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 5], [3, 0, 0, 0, 0, 0, 1, 0, 1, 0, 3, 4], [3, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 5], [3, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 6], [3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 5], [3, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 6], [3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 6], [3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 5, 3], [3, 0, 0, 0, 0, 1, 0, 0, 0, 1, 3, 4], [3, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 5], [3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 5], [3, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 6], [3, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 6], [3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 7], [3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 4], [3, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 5], [3, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 6], [3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 6], [3, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 7], [3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 5], [3, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 6], [3, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 7], [3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 6], [3, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 7], [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8]} (12, 12, 1) has 24620 possible DDs: {[0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 10, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 8, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 9, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 7, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 8, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 5, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 6, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 6, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 4, 7, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 5, 2, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 3, 3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 4, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 4, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 1, 4, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 2, 3, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 6, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 3, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 6, 3, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 6, 4, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 6, 4, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 7, 0, 3, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 4, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 7, 1, 1, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 1, 2, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 7, 1, 3, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 7, 2, 0, 2, 1, 0], [0, 0, 0, 0, 0, 0, 0, 7, 2, 1, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 7, 2, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 7, 3, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 1, 2, 1, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 2, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 8, 1, 0, 1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 8, 1, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 0, 8, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1, 0, 0, 2], [0, 0, 0, 0, 0, 0, 1, 0, 9, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 10, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 7, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 8, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 9, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 2, 5, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2, 6, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2, 7, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 1, 2, 7, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 2, 8, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 3, 3, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 3, 4, 3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 3, 5, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 1, 3, 5, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 3, 6, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 3, 6, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 4, 1, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 4, 2, 4, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 4, 3, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 1, 4, 3, 3, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 4, 4, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 4, 5, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 1, 4, 5, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 1, 5, 0, 5, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 5, 1, 3, 2, 0, 0], [0, 0, 0, 0, 0, 0, 1, 5, 1, 4, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 5, 2, 1, 3, 0, 0], [0, 0, 0, 0, 0, 0, 1, 5, 2, 2, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 5, 2, 3, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 5, 3, 0, 2, 1, 0], [0, 0, 0, 0, 0, 0, 1, 5, 3, 1, 0, 2, 0], [0, 0, 0, 0, 0, 0, 1, 5, 3, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 1, 5, 4, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 1, 6, 0, 2, 3, 0, 0], [0, 0, 0, 0, 0, 0, 1, 6, 0, 3, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 6, 0, 4, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 6, 1, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 1, 6, 1, 1, 2, 1, 0], [0, 0, 0, 0, 0, 0, 1, 6, 1, 2, 0, 2, 0], [0, 0, 0, 0, 0, 0, 1, 6, 1, 2, 1, 0, 1], [0, 0, 0, 0, 0, 0, 1, 6, 2, 0, 1, 2, 0], [0, 0, 0, 0, 0, 0, 1, 6, 2, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 1, 6, 2, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 1, 6, 3, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 1, 7, 0, 0, 3, 1, 0], [0, 0, 0, 0, 0, 0, 1, 7, 0, 1, 1, 2, 0], [0, 0, 0, 0, 0, 0, 1, 7, 0, 1, 2, 0, 1], [0, 0, 0, 0, 0, 0, 1, 7, 0, 2, 0, 1, 1], [0, 0, 0, 0, 0, 0, 1, 7, 1, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 1, 7, 1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 1, 7, 1, 1, 0, 0, 2], [0, 0, 0, 0, 0, 0, 1, 8, 0, 0, 0, 2, 1], [0, 0, 0, 0, 0, 0, 1, 8, 0, 0, 1, 0, 2], [0, 0, 0, 0, 0, 0, 2, 0, 6, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 7, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 8, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 8, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 0, 9, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 1, 4, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 1, 5, 3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 1, 6, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 1, 6, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 1, 7, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 2, 1, 7, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 2, 2, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 3, 4, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 4, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 4, 3, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 2, 5, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 5, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 2, 2, 5, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 2, 6, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 6, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 2, 3, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 3, 1, 5, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 3, 2, 3, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 3, 2, 4, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 3, 3, 1, 3, 0, 0], [0, 0, 0, 0, 0, 0, 2, 3, 3, 2, 1, 1, 0], [0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 3, 4, 0, 2, 1, 0], [0, 0, 0, 0, 0, 0, 2, 3, 4, 1, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 3, 4, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 2, 3, 5, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 2, 4, 0, 4, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 4, 0, 5, 0, 1, 0], [0, 0, 0, 0, 0, 0, 2, 4, 1, 2, 3, 0, 0], [0, 0, 0, 0, 0, 0, 2, 4, 1, 3, 1, 1, 0], [0, 0, 0, 0, 0, 0, 2, 4, 1, 4, 0, 0, 1], [0, 0, 0, 0, 0, 0, 2, 4, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 2, 4, 2, 1, 2, 1, 0], [0, 0, 0, 0, 0, 0, 2, 4, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 4, 2, 2, 1, 0, 1], [0, 0, 0, 0, 0, 0, 2, 4, 3, 0, 1, 2, 0], [0, 0, 0, 0, 0, 0, 2, 4, 3, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 2, 4, 3, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 2, 5, 0, 1, 4, 0, 0], [0, 0, 0, 0, 0, 0, 2, 5, 0, 2, 2, 1, 0], [0, 0, 0, 0, 0, 0, 2, 5, 0, 3, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 5, 0, 3, 1, 0, 1], [0, 0, 0, 0, 0, 0, 2, 5, 1, 0, 3, 1, 0], [0, 0, 0, 0, 0, 0, 2, 5, 1, 1, 1, 2, 0], [0, 0, 0, 0, 0, 0, 2, 5, 1, 1, 2, 0, 1], [0, 0, 0, 0, 0, 0, 2, 5, 1, 2, 0, 1, 1], [0, 0, 0, 0, 0, 0, 2, 5, 2, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 2, 5, 2, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 2, 5, 2, 1, 0, 0, 2], [0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 3, 0, 1], [0, 0, 0, 0, 0, 0, 2, 6, 0, 1, 0, 3, 0], [0, 0, 0, 0, 0, 0, 2, 6, 0, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 2, 6, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 2, 6, 1, 0, 0, 2, 1], [0, 0, 0, 0, 0, 0, 2, 6, 1, 0, 1, 0, 2], [0, 0, 0, 0, 0, 0, 2, 7, 0, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 3, 0, 3, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 4, 4, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 5, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 5, 3, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 0, 6, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 6, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 3, 0, 6, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 3, 0, 7, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 3, 0, 7, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 3, 1, 1, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 1, 2, 5, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 1, 3, 3, 2, 0, 0], [0, 0, 0, 0, 0, 0, 3, 1, 3, 4, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 1, 4, 1, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 1, 4, 2, 1, 1, 0], [0, 0, 0, 0, 0, 0, 3, 1, 4, 3, 0, 0, 1], [0, 0, 0, 0, 0, 0, 3, 1, 5, 0, 2, 1, 0], [0, 0, 0, 0, 0, 0, 3, 1, 5, 1, 0, 2, 0], [0, 0, 0, 0, 0, 0, 3, 1, 5, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 3, 1, 6, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 3, 2, 0, 6, 1, 0, 0], [0, 0, 0, 0, 0, 0, 3, 2, 1, 4, 2, 0, 0], [0, 0, 0, 0, 0, 0, 3, 2, 1, 5, 0, 1, 0], [0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 2, 2, 3, 1, 1, 0], [0, 0, 0, 0, 0, 0, 3, 2, 2, 4, 0, 0, 1], [0, 0, 0, 0, 0, 0, 3, 2, 3, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 3, 2, 3, 1, 2, 1, 0], [0, 0, 0, 0, 0, 0, 3, 2, 3, 2, 0, 2, 0], [0, 0, 0, 0, 0, 0, 3, 2, 3, 2, 1, 0, 1], [0, 0, 0, 0, 0, 0, 3, 2, 4, 0, 1, 2, 0], [0, 0, 0, 0, 0, 0, 3, 2, 4, 0, 2, 0, 1], [0, 0, 0, 0, 0, 0, 3, 2, 4, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 3, 2, 5, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 4, 1, 1, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 5, 0, 0, 1], [0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 4, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 1, 2, 2, 1, 0], [0, 0, 0, 0, 0, 0, 3, 3, 1, 3, 0, 2, 0], [0, 0, 0, 0, 0, 0, 3, 3, 1, 3, 1, 0, 1], [0, 0, 0, 0, 0, 0, 3, 3, 2, 0, 3, 1, 0], [0, 0, 0, 0, 0, 0, 3, 3, 2, 1, 1, 2, 0], [0, 0, 0, 0, 0, 0, 3, 3, 2, 1, 2, 0, 1], [0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 0, 1, 1], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 3, 3, 3, 1, 0, 0, 2], [0, 0, 0, 0, 0, 0, 3, 4, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 3, 4, 0, 1, 3, 1, 0], [0, 0, 0, 0, 0, 0, 3, 4, 0, 2, 1, 2, 0], [0, 0, 0, 0, 0, 0, 3, 4, 0, 2, 2, 0, 1], [0, 0, 0, 0, 0, 0, 3, 4, 0, 3, 0, 1, 1], [0, 0, 0, 0, 0, 0, 3, 4, 1, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 3, 4, 1, 0, 3, 0, 1], [0, 0, 0, 0, 0, 0, 3, 4, 1, 1, 0, 3, 0], [0, 0, 0, 0, 0, 0, 3, 4, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 3, 4, 1, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 3, 4, 2, 0, 0, 2, 1], [0, 0, 0, 0, 0, 0, 3, 4, 2, 0, 1, 0, 2], [0, 0, 0, 0, 0, 0, 3, 5, 0, 0, 1, 3, 0], [0, 0, 0, 0, 0, 0, 3, 5, 0, 0, 2, 1, 1], [0, 0, 0, 0, 0, 0, 3, 5, 0, 1, 0, 2, 1], [0, 0, 0, 0, 0, 0, 3, 5, 0, 1, 1, 0, 2], [0, 0, 0, 0, 0, 0, 3, 5, 1, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 3, 6, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 4, 0, 0, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 1, 6, 1, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 2, 4, 2, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 2, 5, 0, 1, 0], [0, 0, 0, 0, 0, 0, 4, 0, 3, 2, 3, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 3, 3, 1, 1, 0], [0, 0, 0, 0, 0, 0, 4, 0, 3, 4, 0, 0, 1], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 1, 2, 1, 0], [0, 0, 0, 0, 0, 0, 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1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 3], [2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 3, 0, 4], [2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 3, 3], [2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 4], [2, 0, 1, 0, 0, 0, 0, 1, 0, 3, 0, 0, 5], [2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 5, 2], [2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 3, 3], [2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 4], [2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 4], [ 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 5], [2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 5], [2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 4, 3], [2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 4], [2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 5], [2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 5], [2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 6], [2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 8, 0], [2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 6, 1], [2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 4, 2], [2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 3, 2, 3], [2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 4, 0, 4], [2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 5, 2], [2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 3, 3], [2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 4], [2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 4], [2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 5], [2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 4, 3], [2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 4], [2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 5], [2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 5], [2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 6], [2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 3, 4], [2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 5], [2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 6], [2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 5], [2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 6], [2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 7, 1], [2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 5, 2], [2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 3, 3], [2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 3, 1, 4], [2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 4, 3], [2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 4], [2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 5], [2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 5], [2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 3, 4], [2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 5], [2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 6], [2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 5], [2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 6], [2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 6], [2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 7], [2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 6, 2], [2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 4, 3], [2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 4], [2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 3, 0, 5], [2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 3, 4], [2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 5], [2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 6], [2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 5], [2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 6], [2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 6], [2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 7], [2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 5, 3], [2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4], [2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 5], [2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 5], [2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 6], [2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 6], [2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 7], [2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5], [2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6], [2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 6], [2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 7], [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 5, 0], [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 1], [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 6, 1, 2], [2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 6, 0], [2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 1], [2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 2, 2], [2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 5, 0, 3], [2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 7, 0], [2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 5, 1], [2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 3, 2], [2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 3, 1, 3], [2, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 4, 2], [2, 1, 0, 0, 0, 0, 0, 0, 0, 3, 1, 2, 3], [2, 1, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 4], [2, 1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 4], [2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 7, 0], [2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 5, 1], [2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 3, 3, 2], [2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 4, 1, 3], [2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 6, 1], [2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 2], [2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3], [2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 3, 0, 4], [2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 3, 3], [2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 4], [2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 0, 0, 5], [2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 5, 2], [2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 3, 3], [2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4], [2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 4], [2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 5], [2, 1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 1, 5], [2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 8, 0], [2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 6, 1], [2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 4, 2], [2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 3, 2, 3], [2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 4, 0, 4], [2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 5, 2], [2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 3, 3], [2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4], [2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 4], [2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 5], [2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 4, 3], [2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 4], [2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 5], [2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 5], [2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 6], [2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 4], [2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 5], [2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 6], [2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 7, 1], [2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 5, 2], [2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 3, 3], [2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 3, 1, 4], [2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 4, 3], [2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 4], [2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 5], [2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 5], [2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 3, 4], [2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 5], [2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 6], [2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 5], [2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 6], [2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 6], [2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 6, 2], [2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 4, 3], [2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 4], [2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 3, 0, 5], [2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 3, 4], [2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 5], [2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 6], [2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 5], [2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 6], [2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 6], [2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 7], [2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 5, 3], [2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 3, 4], [2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 5], [2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 5], [2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 6], [2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 6], [2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 7], [2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 4, 4], [2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 5], [2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 6], [2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 6], [2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 7], [2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 5], [2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 6], [2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 7], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 7], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 2], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 7, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 1], [3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 2], [3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 1, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6, 1], [3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 2], [3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 4], [3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 4], [3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5], [3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 6, 1], [3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 4, 2], [3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 2, 3], [3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 4, 0, 4], [3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 5, 2], [3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 4], [3, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 4], [3, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 5], [3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 3], [3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 4], [3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 5], [3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 6], [3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 7, 1], [3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 5, 2], [3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 3, 3], [3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 3, 1, 4], [3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 4, 3], [3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 4], [3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 5], [3, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 5], [3, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 3, 4], [3, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 5], [3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 6], [3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 5], [3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 6], [3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 6, 2], [3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 4, 3], [3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 4], [3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 5], [3, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 3, 4], [3, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 5], [3, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 6], [3, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 5], [3, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 6], [3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 6], [3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7], [3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 3], [3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 3, 4], [3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 5], [3, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 5], [3, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 6], [3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 6], [3, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 7], [3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, 4], [3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 5], [3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 6], [3, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 6], [3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 7], [3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 5], [3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 6], [3, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 7], [3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6], [3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 7], [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8]} (13, 12, 1) has 42841 possible DDs: {[0, 0, 0, 0, 0, 0, 0, 0, 4, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 4, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 5, 0, 1, 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