------- (15, 12, 1) Remaining distance distributions after General for EXTERNAL point (1, 12, 1) has 0 possible DDs: {} (2, 12, 1) has 1 possible DDs: {[0, 8, 4]} (3, 12, 1) has 7 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]} (4, 12, 1) has 24 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]} (5, 12, 1) has 77 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]} (6, 12, 1) has 212 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]} (7, 12, 1) has 525 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, 5, 3, 0], [0, 1, 0, 0, 3, 6, 1, 1], [0, 1, 0, 0, 4, 3, 4, 0], [0, 1, 0, 0, 4, 4, 2, 1], [0, 1, 0, 0, 4, 5, 0, 2], [0, 1, 0, 0, 5, 1, 5, 0], [0, 1, 0, 0, 5, 2, 3, 1], [0, 1, 0, 0, 5, 3, 1, 2], [0, 1, 0, 0, 6, 0, 4, 1], [0, 1, 0, 0, 6, 1, 2, 2], [0, 1, 0, 0, 6, 2, 0, 3], [0, 1, 0, 0, 7, 0, 1, 3], [0, 1, 0, 1, 0, 8, 2, 0], [0, 1, 0, 1, 0, 9, 0, 1], [0, 1, 0, 1, 1, 6, 3, 0], [0, 1, 0, 1, 1, 7, 1, 1], [0, 1, 0, 1, 2, 4, 4, 0], [0, 1, 0, 1, 2, 5, 2, 1], [0, 1, 0, 1, 2, 6, 0, 2], [0, 1, 0, 1, 3, 2, 5, 0], [0, 1, 0, 1, 3, 3, 3, 1], [0, 1, 0, 1, 3, 4, 1, 2], [0, 1, 0, 1, 4, 0, 6, 0], [0, 1, 0, 1, 4, 1, 4, 1], [0, 1, 0, 1, 4, 2, 2, 2], [0, 1, 0, 1, 4, 3, 0, 3], [0, 1, 0, 1, 5, 0, 3, 2], [0, 1, 0, 1, 5, 1, 1, 3], [0, 1, 0, 1, 6, 0, 0, 4], [0, 1, 0, 2, 0, 5, 4, 0], [0, 1, 0, 2, 0, 6, 2, 1], [0, 1, 0, 2, 0, 7, 0, 2], [0, 1, 0, 2, 1, 3, 5, 0], [0, 1, 0, 2, 1, 4, 3, 1], [0, 1, 0, 2, 1, 5, 1, 2], [0, 1, 0, 2, 2, 1, 6, 0], [0, 1, 0, 2, 2, 2, 4, 1], [0, 1, 0, 2, 2, 3, 2, 2], [0, 1, 0, 2, 2, 4, 0, 3], [0, 1, 0, 2, 3, 0, 5, 1], [0, 1, 0, 2, 3, 1, 3, 2], [0, 1, 0, 2, 3, 2, 1, 3], [0, 1, 0, 2, 4, 0, 2, 3], [0, 1, 0, 2, 4, 1, 0, 4], [0, 1, 0, 3, 0, 2, 6, 0], [0, 1, 0, 3, 0, 3, 4, 1], [0, 1, 0, 3, 0, 4, 2, 2], [0, 1, 0, 3, 0, 5, 0, 3], [0, 1, 0, 3, 1, 0, 7, 0], [0, 1, 0, 3, 1, 1, 5, 1], [0, 1, 0, 3, 1, 2, 3, 2], [0, 1, 0, 3, 1, 3, 1, 3], [0, 1, 0, 3, 2, 0, 4, 2], [0, 1, 0, 3, 2, 1, 2, 3], [0, 1, 0, 3, 2, 2, 0, 4], [0, 1, 0, 3, 3, 0, 1, 4], [0, 1, 0, 4, 0, 0, 6, 1], [0, 1, 0, 4, 0, 1, 4, 2], [0, 1, 0, 4, 0, 2, 2, 3], [0, 1, 0, 4, 0, 3, 0, 4], [0, 1, 0, 4, 1, 0, 3, 3], [0, 1, 0, 4, 1, 1, 1, 4], [0, 1, 0, 4, 2, 0, 0, 5], [0, 1, 0, 5, 0, 0, 2, 4], [0, 1, 0, 5, 0, 1, 0, 5], [0, 1, 1, 0, 0, 7, 3, 0], [0, 1, 1, 0, 0, 8, 1, 1], [0, 1, 1, 0, 1, 5, 4, 0], [0, 1, 1, 0, 1, 6, 2, 1], [0, 1, 1, 0, 1, 7, 0, 2], [0, 1, 1, 0, 2, 3, 5, 0], [0, 1, 1, 0, 2, 4, 3, 1], [0, 1, 1, 0, 2, 5, 1, 2], [0, 1, 1, 0, 3, 1, 6, 0], [0, 1, 1, 0, 3, 2, 4, 1], [0, 1, 1, 0, 3, 3, 2, 2], [0, 1, 1, 0, 3, 4, 0, 3], [0, 1, 1, 0, 4, 0, 5, 1], [0, 1, 1, 0, 4, 1, 3, 2], [0, 1, 1, 0, 4, 2, 1, 3], [0, 1, 1, 0, 5, 0, 2, 3], [0, 1, 1, 0, 5, 1, 0, 4], [0, 1, 1, 1, 0, 4, 5, 0], [0, 1, 1, 1, 0, 5, 3, 1], [0, 1, 1, 1, 0, 6, 1, 2], [0, 1, 1, 1, 1, 2, 6, 0], [0, 1, 1, 1, 1, 3, 4, 1], [0, 1, 1, 1, 1, 4, 2, 2], [0, 1, 1, 1, 1, 5, 0, 3], [0, 1, 1, 1, 2, 0, 7, 0], [0, 1, 1, 1, 2, 1, 5, 1], [0, 1, 1, 1, 2, 2, 3, 2], [0, 1, 1, 1, 2, 3, 1, 3], [0, 1, 1, 1, 3, 0, 4, 2], [0, 1, 1, 1, 3, 1, 2, 3], [0, 1, 1, 1, 3, 2, 0, 4], [0, 1, 1, 1, 4, 0, 1, 4], [0, 1, 1, 2, 0, 1, 7, 0], [0, 1, 1, 2, 0, 2, 5, 1], [0, 1, 1, 2, 0, 3, 3, 2], [0, 1, 1, 2, 0, 4, 1, 3], [0, 1, 1, 2, 1, 0, 6, 1], [0, 1, 1, 2, 1, 1, 4, 2], [0, 1, 1, 2, 1, 2, 2, 3], [0, 1, 1, 2, 1, 3, 0, 4], [0, 1, 1, 2, 2, 0, 3, 3], [0, 1, 1, 2, 2, 1, 1, 4], [0, 1, 1, 2, 3, 0, 0, 5], [0, 1, 1, 3, 0, 0, 5, 2], [0, 1, 1, 3, 0, 1, 3, 3], [0, 1, 1, 3, 0, 2, 1, 4], [0, 1, 1, 3, 1, 0, 2, 4], [0, 1, 1, 3, 1, 1, 0, 5], [0, 1, 1, 4, 0, 0, 1, 5], [0, 1, 2, 0, 0, 3, 6, 0], [0, 1, 2, 0, 0, 4, 4, 1], [0, 1, 2, 0, 0, 5, 2, 2], [0, 1, 2, 0, 0, 6, 0, 3], [0, 1, 2, 0, 1, 1, 7, 0], [0, 1, 2, 0, 1, 2, 5, 1], [0, 1, 2, 0, 1, 3, 3, 2], [0, 1, 2, 0, 1, 4, 1, 3], [0, 1, 2, 0, 2, 0, 6, 1], [0, 1, 2, 0, 2, 1, 4, 2], [0, 1, 2, 0, 2, 2, 2, 3], [0, 1, 2, 0, 2, 3, 0, 4], [0, 1, 2, 0, 3, 0, 3, 3], [0, 1, 2, 0, 3, 1, 1, 4], [0, 1, 2, 0, 4, 0, 0, 5], [0, 1, 2, 1, 0, 0, 8, 0], [0, 1, 2, 1, 0, 1, 6, 1], [0, 1, 2, 1, 0, 2, 4, 2], [0, 1, 2, 1, 0, 3, 2, 3], [0, 1, 2, 1, 0, 4, 0, 4], [0, 1, 2, 1, 1, 0, 5, 2], [0, 1, 2, 1, 1, 1, 3, 3], [0, 1, 2, 1, 1, 2, 1, 4], [0, 1, 2, 1, 2, 0, 2, 4], [0, 1, 2, 1, 2, 1, 0, 5], [0, 1, 2, 2, 0, 0, 4, 3], [0, 1, 2, 2, 0, 1, 2, 4], [0, 1, 2, 2, 0, 2, 0, 5], [0, 1, 2, 2, 1, 0, 1, 5], [0, 1, 2, 3, 0, 0, 0, 6], [0, 1, 3, 0, 0, 0, 7, 1], [0, 1, 3, 0, 0, 1, 5, 2], [0, 1, 3, 0, 0, 2, 3, 3], [0, 1, 3, 0, 0, 3, 1, 4], [0, 1, 3, 0, 1, 0, 4, 3], [0, 1, 3, 0, 1, 1, 2, 4], [0, 1, 3, 0, 1, 2, 0, 5], [0, 1, 3, 0, 2, 0, 1, 5], [0, 1, 3, 1, 0, 0, 3, 4], [0, 1, 3, 1, 0, 1, 1, 5], [0, 1, 3, 1, 1, 0, 0, 6], [0, 1, 4, 0, 0, 0, 2, 5], [0, 1, 4, 0, 0, 1, 0, 6], [0, 2, 0, 0, 0, 6, 4, 0], [0, 2, 0, 0, 0, 7, 2, 1], [0, 2, 0, 0, 0, 8, 0, 2], [0, 2, 0, 0, 1, 4, 5, 0], [0, 2, 0, 0, 1, 5, 3, 1], [0, 2, 0, 0, 1, 6, 1, 2], [0, 2, 0, 0, 2, 2, 6, 0], [0, 2, 0, 0, 2, 3, 4, 1], [0, 2, 0, 0, 2, 4, 2, 2], [0, 2, 0, 0, 2, 5, 0, 3], [0, 2, 0, 0, 3, 0, 7, 0], [0, 2, 0, 0, 3, 1, 5, 1], [0, 2, 0, 0, 3, 2, 3, 2], [0, 2, 0, 0, 3, 3, 1, 3], [0, 2, 0, 0, 4, 0, 4, 2], [0, 2, 0, 0, 4, 1, 2, 3], [0, 2, 0, 0, 4, 2, 0, 4], [0, 2, 0, 0, 5, 0, 1, 4], [0, 2, 0, 1, 0, 3, 6, 0], [0, 2, 0, 1, 0, 4, 4, 1], [0, 2, 0, 1, 0, 5, 2, 2], [0, 2, 0, 1, 0, 6, 0, 3], [0, 2, 0, 1, 1, 1, 7, 0], [0, 2, 0, 1, 1, 2, 5, 1], [0, 2, 0, 1, 1, 3, 3, 2], [0, 2, 0, 1, 1, 4, 1, 3], [0, 2, 0, 1, 2, 0, 6, 1], [0, 2, 0, 1, 2, 1, 4, 2], [0, 2, 0, 1, 2, 2, 2, 3], [0, 2, 0, 1, 2, 3, 0, 4], [0, 2, 0, 1, 3, 0, 3, 3], [0, 2, 0, 1, 3, 1, 1, 4], [0, 2, 0, 1, 4, 0, 0, 5], [0, 2, 0, 2, 0, 0, 8, 0], [0, 2, 0, 2, 0, 1, 6, 1], [0, 2, 0, 2, 0, 2, 4, 2], [0, 2, 0, 2, 0, 3, 2, 3], [0, 2, 0, 2, 0, 4, 0, 4], [0, 2, 0, 2, 1, 0, 5, 2], [0, 2, 0, 2, 1, 1, 3, 3], [0, 2, 0, 2, 1, 2, 1, 4], [0, 2, 0, 2, 2, 0, 2, 4], [0, 2, 0, 2, 2, 1, 0, 5], [0, 2, 0, 3, 0, 0, 4, 3], [0, 2, 0, 3, 0, 1, 2, 4], [0, 2, 0, 3, 0, 2, 0, 5], [0, 2, 0, 3, 1, 0, 1, 5], [0, 2, 0, 4, 0, 0, 0, 6], [0, 2, 1, 0, 0, 2, 7, 0], [0, 2, 1, 0, 0, 3, 5, 1], [0, 2, 1, 0, 0, 4, 3, 2], [0, 2, 1, 0, 0, 5, 1, 3], [0, 2, 1, 0, 1, 0, 8, 0], [0, 2, 1, 0, 1, 1, 6, 1], [0, 2, 1, 0, 1, 2, 4, 2], [0, 2, 1, 0, 1, 3, 2, 3], [0, 2, 1, 0, 1, 4, 0, 4], [0, 2, 1, 0, 2, 0, 5, 2], [0, 2, 1, 0, 2, 1, 3, 3], [0, 2, 1, 0, 2, 2, 1, 4], [0, 2, 1, 0, 3, 0, 2, 4], [0, 2, 1, 0, 3, 1, 0, 5], [0, 2, 1, 1, 0, 0, 7, 1], [0, 2, 1, 1, 0, 1, 5, 2], [0, 2, 1, 1, 0, 2, 3, 3], [0, 2, 1, 1, 0, 3, 1, 4], [0, 2, 1, 1, 1, 0, 4, 3], [0, 2, 1, 1, 1, 1, 2, 4], [0, 2, 1, 1, 1, 2, 0, 5], [0, 2, 1, 1, 2, 0, 1, 5], [0, 2, 1, 2, 0, 0, 3, 4], [0, 2, 1, 2, 0, 1, 1, 5], [0, 2, 1, 2, 1, 0, 0, 6], [0, 2, 2, 0, 0, 0, 6, 2], [0, 2, 2, 0, 0, 1, 4, 3], [0, 2, 2, 0, 0, 2, 2, 4], [0, 2, 2, 0, 0, 3, 0, 5], [0, 2, 2, 0, 1, 0, 3, 4], [0, 2, 2, 0, 1, 1, 1, 5], [0, 2, 2, 0, 2, 0, 0, 6], [0, 2, 2, 1, 0, 0, 2, 5], [0, 2, 2, 1, 0, 1, 0, 6], [0, 2, 3, 0, 0, 0, 1, 6], [0, 3, 0, 0, 0, 1, 8, 0], [0, 3, 0, 0, 0, 2, 6, 1], [0, 3, 0, 0, 0, 3, 4, 2], [0, 3, 0, 0, 0, 4, 2, 3], [0, 3, 0, 0, 0, 5, 0, 4], [0, 3, 0, 0, 1, 0, 7, 1], [0, 3, 0, 0, 1, 1, 5, 2], [0, 3, 0, 0, 1, 2, 3, 3], [0, 3, 0, 0, 1, 3, 1, 4], [0, 3, 0, 0, 2, 0, 4, 3], [0, 3, 0, 0, 2, 1, 2, 4], [0, 3, 0, 0, 2, 2, 0, 5], [0, 3, 0, 0, 3, 0, 1, 5], [0, 3, 0, 1, 0, 0, 6, 2], [0, 3, 0, 1, 0, 1, 4, 3], [0, 3, 0, 1, 0, 2, 2, 4], [0, 3, 0, 1, 0, 3, 0, 5], [0, 3, 0, 1, 1, 0, 3, 4], [0, 3, 0, 1, 1, 1, 1, 5], [0, 3, 0, 1, 2, 0, 0, 6], [0, 3, 0, 2, 0, 0, 2, 5], [0, 3, 0, 2, 0, 1, 0, 6], [0, 3, 1, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 2, 1, 5], [0, 3, 1, 0, 1, 0, 2, 5], [0, 3, 1, 0, 1, 1, 0, 6], [0, 3, 1, 1, 0, 0, 1, 6], [0, 3, 2, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 1, 0, 1, 6], [0, 4, 0, 1, 0, 0, 0, 7]} (8, 12, 1) has 1197 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, 0, 0, 2, 1, 5, 1, 1, 2], [0, 0, 0, 2, 1, 6, 0, 0, 3], [0, 0, 0, 2, 2, 0, 6, 2, 0], [0, 0, 0, 2, 2, 0, 7, 0, 1], [0, 0, 0, 2, 2, 1, 4, 3, 0], [0, 0, 0, 2, 2, 1, 5, 1, 1], [0, 0, 0, 2, 2, 2, 2, 4, 0], [0, 0, 0, 2, 2, 2, 3, 2, 1], [0, 0, 0, 2, 2, 2, 4, 0, 2], [0, 0, 0, 2, 2, 3, 0, 5, 0], [0, 0, 0, 2, 2, 3, 1, 3, 1], [0, 0, 0, 2, 2, 3, 2, 1, 2], [0, 0, 0, 2, 2, 4, 0, 2, 2], [0, 0, 0, 2, 2, 4, 1, 0, 3], [0, 0, 0, 2, 3, 0, 3, 4, 0], [0, 0, 0, 2, 3, 0, 4, 2, 1], [0, 0, 0, 2, 3, 0, 5, 0, 2], [0, 0, 0, 2, 3, 1, 1, 5, 0], [0, 0, 0, 2, 3, 1, 2, 3, 1], [0, 0, 0, 2, 3, 1, 3, 1, 2], [0, 0, 0, 2, 3, 2, 0, 4, 1], [0, 0, 0, 2, 3, 2, 1, 2, 2], [0, 0, 0, 2, 3, 2, 2, 0, 3], [0, 0, 0, 2, 3, 3, 0, 1, 3], [0, 0, 0, 2, 4, 0, 0, 6, 0], [0, 0, 0, 2, 4, 0, 1, 4, 1], [0, 0, 0, 2, 4, 0, 2, 2, 2], [0, 0, 0, 2, 4, 0, 3, 0, 3], [0, 0, 0, 2, 4, 1, 0, 3, 2], [0, 0, 0, 2, 4, 1, 1, 1, 3], [0, 0, 0, 2, 4, 2, 0, 0, 4], [0, 0, 0, 2, 5, 0, 0, 2, 3], [0, 0, 0, 2, 5, 0, 1, 0, 4], [0, 0, 0, 3, 0, 0, 8, 1, 0], [0, 0, 0, 3, 0, 1, 6, 2, 0], [0, 0, 0, 3, 0, 1, 7, 0, 1], [0, 0, 0, 3, 0, 2, 4, 3, 0], [0, 0, 0, 3, 0, 2, 5, 1, 1], [0, 0, 0, 3, 0, 3, 2, 4, 0], [0, 0, 0, 3, 0, 3, 3, 2, 1], [0, 0, 0, 3, 0, 3, 4, 0, 2], [0, 0, 0, 3, 0, 4, 0, 5, 0], [0, 0, 0, 3, 0, 4, 1, 3, 1], [0, 0, 0, 3, 0, 4, 2, 1, 2], [0, 0, 0, 3, 0, 5, 0, 2, 2], [0, 0, 0, 3, 0, 5, 1, 0, 3], [0, 0, 0, 3, 1, 0, 5, 3, 0], [0, 0, 0, 3, 1, 0, 6, 1, 1], [0, 0, 0, 3, 1, 1, 3, 4, 0], [0, 0, 0, 3, 1, 1, 4, 2, 1], [0, 0, 0, 3, 1, 1, 5, 0, 2], [0, 0, 0, 3, 1, 2, 1, 5, 0], [0, 0, 0, 3, 1, 2, 2, 3, 1], [0, 0, 0, 3, 1, 2, 3, 1, 2], [0, 0, 0, 3, 1, 3, 0, 4, 1], [0, 0, 0, 3, 1, 3, 1, 2, 2], [0, 0, 0, 3, 1, 3, 2, 0, 3], [0, 0, 0, 3, 1, 4, 0, 1, 3], [0, 0, 0, 3, 2, 0, 2, 5, 0], [0, 0, 0, 3, 2, 0, 3, 3, 1], [0, 0, 0, 3, 2, 0, 4, 1, 2], [0, 0, 0, 3, 2, 1, 0, 6, 0], [0, 0, 0, 3, 2, 1, 1, 4, 1], [0, 0, 0, 3, 2, 1, 2, 2, 2], [0, 0, 0, 3, 2, 1, 3, 0, 3], [0, 0, 0, 3, 2, 2, 0, 3, 2], [0, 0, 0, 3, 2, 2, 1, 1, 3], [0, 0, 0, 3, 2, 3, 0, 0, 4], [0, 0, 0, 3, 3, 0, 0, 5, 1], [0, 0, 0, 3, 3, 0, 1, 3, 2], [0, 0, 0, 3, 3, 0, 2, 1, 3], [0, 0, 0, 3, 3, 1, 0, 2, 3], [0, 0, 0, 3, 3, 1, 1, 0, 4], [0, 0, 0, 3, 4, 0, 0, 1, 4], [0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 0, 4, 0, 0, 5, 2, 1], [0, 0, 0, 4, 0, 0, 6, 0, 2], [0, 0, 0, 4, 0, 1, 2, 5, 0], [0, 0, 0, 4, 0, 1, 3, 3, 1], [0, 0, 0, 4, 0, 1, 4, 1, 2], [0, 0, 0, 4, 0, 2, 0, 6, 0], [0, 0, 0, 4, 0, 2, 1, 4, 1], [0, 0, 0, 4, 0, 2, 2, 2, 2], [0, 0, 0, 4, 0, 2, 3, 0, 3], [0, 0, 0, 4, 0, 3, 0, 3, 2], [0, 0, 0, 4, 0, 3, 1, 1, 3], [0, 0, 0, 4, 0, 4, 0, 0, 4], [0, 0, 0, 4, 1, 0, 1, 6, 0], [0, 0, 0, 4, 1, 0, 2, 4, 1], [0, 0, 0, 4, 1, 0, 3, 2, 2], [0, 0, 0, 4, 1, 0, 4, 0, 3], [0, 0, 0, 4, 1, 1, 0, 5, 1], [0, 0, 0, 4, 1, 1, 1, 3, 2], [0, 0, 0, 4, 1, 1, 2, 1, 3], [0, 0, 0, 4, 1, 2, 0, 2, 3], [0, 0, 0, 4, 1, 2, 1, 0, 4], [0, 0, 0, 4, 2, 0, 0, 4, 2], [0, 0, 0, 4, 2, 0, 1, 2, 3], [0, 0, 0, 4, 2, 0, 2, 0, 4], [0, 0, 0, 4, 2, 1, 0, 1, 4], [0, 0, 0, 4, 3, 0, 0, 0, 5], [0, 0, 0, 5, 0, 0, 0, 7, 0], [0, 0, 0, 5, 0, 0, 1, 5, 1], [0, 0, 0, 5, 0, 0, 2, 3, 2], [0, 0, 0, 5, 0, 0, 3, 1, 3], [0, 0, 0, 5, 0, 1, 0, 4, 2], [0, 0, 0, 5, 0, 1, 1, 2, 3], [0, 0, 0, 5, 0, 1, 2, 0, 4], [0, 0, 0, 5, 0, 2, 0, 1, 4], [0, 0, 0, 5, 1, 0, 0, 3, 3], [0, 0, 0, 5, 1, 0, 1, 1, 4], [0, 0, 0, 5, 1, 1, 0, 0, 5], [0, 0, 0, 6, 0, 0, 0, 2, 4], [0, 0, 0, 6, 0, 0, 1, 0, 5], [0, 0, 1, 0, 0, 4, 7, 0, 0], [0, 0, 1, 0, 0, 5, 5, 1, 0], [0, 0, 1, 0, 0, 6, 3, 2, 0], [0, 0, 1, 0, 0, 6, 4, 0, 1], [0, 0, 1, 0, 0, 7, 1, 3, 0], [0, 0, 1, 0, 0, 7, 2, 1, 1], [0, 0, 1, 0, 0, 8, 0, 2, 1], [0, 0, 1, 0, 0, 8, 1, 0, 2], [0, 0, 1, 0, 1, 2, 8, 0, 0], [0, 0, 1, 0, 1, 3, 6, 1, 0], [0, 0, 1, 0, 1, 4, 4, 2, 0], [0, 0, 1, 0, 1, 4, 5, 0, 1], [0, 0, 1, 0, 1, 5, 2, 3, 0], [0, 0, 1, 0, 1, 5, 3, 1, 1], [0, 0, 1, 0, 1, 6, 0, 4, 0], [0, 0, 1, 0, 1, 6, 1, 2, 1], [0, 0, 1, 0, 1, 6, 2, 0, 2], [0, 0, 1, 0, 1, 7, 0, 1, 2], [0, 0, 1, 0, 2, 0, 9, 0, 0], [0, 0, 1, 0, 2, 1, 7, 1, 0], [0, 0, 1, 0, 2, 2, 5, 2, 0], [0, 0, 1, 0, 2, 2, 6, 0, 1], [0, 0, 1, 0, 2, 3, 3, 3, 0], [0, 0, 1, 0, 2, 3, 4, 1, 1], [0, 0, 1, 0, 2, 4, 1, 4, 0], [0, 0, 1, 0, 2, 4, 2, 2, 1], [0, 0, 1, 0, 2, 4, 3, 0, 2], [0, 0, 1, 0, 2, 5, 0, 3, 1], [0, 0, 1, 0, 2, 5, 1, 1, 2], [0, 0, 1, 0, 2, 6, 0, 0, 3], [0, 0, 1, 0, 3, 0, 6, 2, 0], [0, 0, 1, 0, 3, 0, 7, 0, 1], [0, 0, 1, 0, 3, 1, 4, 3, 0], [0, 0, 1, 0, 3, 1, 5, 1, 1], [0, 0, 1, 0, 3, 2, 2, 4, 0], [0, 0, 1, 0, 3, 2, 3, 2, 1], [0, 0, 1, 0, 3, 2, 4, 0, 2], [0, 0, 1, 0, 3, 3, 0, 5, 0], [0, 0, 1, 0, 3, 3, 1, 3, 1], [0, 0, 1, 0, 3, 3, 2, 1, 2], [0, 0, 1, 0, 3, 4, 0, 2, 2], [0, 0, 1, 0, 3, 4, 1, 0, 3], [0, 0, 1, 0, 4, 0, 3, 4, 0], [0, 0, 1, 0, 4, 0, 4, 2, 1], [0, 0, 1, 0, 4, 0, 5, 0, 2], [0, 0, 1, 0, 4, 1, 1, 5, 0], [0, 0, 1, 0, 4, 1, 2, 3, 1], [0, 0, 1, 0, 4, 1, 3, 1, 2], [0, 0, 1, 0, 4, 2, 0, 4, 1], [0, 0, 1, 0, 4, 2, 1, 2, 2], [0, 0, 1, 0, 4, 2, 2, 0, 3], [0, 0, 1, 0, 4, 3, 0, 1, 3], [0, 0, 1, 0, 5, 0, 0, 6, 0], [0, 0, 1, 0, 5, 0, 1, 4, 1], [0, 0, 1, 0, 5, 0, 2, 2, 2], [0, 0, 1, 0, 5, 0, 3, 0, 3], [0, 0, 1, 0, 5, 1, 0, 3, 2], [0, 0, 1, 0, 5, 1, 1, 1, 3], [0, 0, 1, 0, 5, 2, 0, 0, 4], [0, 0, 1, 0, 6, 0, 0, 2, 3], [0, 0, 1, 0, 6, 0, 1, 0, 4], [0, 0, 1, 1, 0, 1, 9, 0, 0], [0, 0, 1, 1, 0, 2, 7, 1, 0], [0, 0, 1, 1, 0, 3, 5, 2, 0], [0, 0, 1, 1, 0, 3, 6, 0, 1], [0, 0, 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0, 0, 0, 3, 4, 1, 2], [0, 2, 0, 0, 0, 4, 0, 6, 0], [0, 2, 0, 0, 0, 4, 1, 4, 1], [0, 2, 0, 0, 0, 4, 2, 2, 2], [0, 2, 0, 0, 0, 4, 3, 0, 3], [0, 2, 0, 0, 0, 5, 0, 3, 2], [0, 2, 0, 0, 0, 5, 1, 1, 3], [0, 2, 0, 0, 0, 6, 0, 0, 4], [0, 2, 0, 0, 1, 0, 5, 4, 0], [0, 2, 0, 0, 1, 0, 6, 2, 1], [0, 2, 0, 0, 1, 0, 7, 0, 2], [0, 2, 0, 0, 1, 1, 3, 5, 0], [0, 2, 0, 0, 1, 1, 4, 3, 1], [0, 2, 0, 0, 1, 1, 5, 1, 2], [0, 2, 0, 0, 1, 2, 1, 6, 0], [0, 2, 0, 0, 1, 2, 2, 4, 1], [0, 2, 0, 0, 1, 2, 3, 2, 2], [0, 2, 0, 0, 1, 2, 4, 0, 3], [0, 2, 0, 0, 1, 3, 0, 5, 1], [0, 2, 0, 0, 1, 3, 1, 3, 2], [0, 2, 0, 0, 1, 3, 2, 1, 3], [0, 2, 0, 0, 1, 4, 0, 2, 3], [0, 2, 0, 0, 1, 4, 1, 0, 4], [0, 2, 0, 0, 2, 0, 2, 6, 0], [0, 2, 0, 0, 2, 0, 3, 4, 1], [0, 2, 0, 0, 2, 0, 4, 2, 2], [0, 2, 0, 0, 2, 0, 5, 0, 3], [0, 2, 0, 0, 2, 1, 0, 7, 0], [0, 2, 0, 0, 2, 1, 1, 5, 1], [0, 2, 0, 0, 2, 1, 2, 3, 2], [0, 2, 0, 0, 2, 1, 3, 1, 3], [0, 2, 0, 0, 2, 2, 0, 4, 2], [0, 2, 0, 0, 2, 2, 1, 2, 3], [0, 2, 0, 0, 2, 2, 2, 0, 4], [0, 2, 0, 0, 2, 3, 0, 1, 4], [0, 2, 0, 0, 3, 0, 0, 6, 1], [0, 2, 0, 0, 3, 0, 1, 4, 2], [0, 2, 0, 0, 3, 0, 2, 2, 3], [0, 2, 0, 0, 3, 0, 3, 0, 4], [0, 2, 0, 0, 3, 1, 0, 3, 3], [0, 2, 0, 0, 3, 1, 1, 1, 4], [0, 2, 0, 0, 3, 2, 0, 0, 5], [0, 2, 0, 0, 4, 0, 0, 2, 4], [0, 2, 0, 0, 4, 0, 1, 0, 5], [0, 2, 0, 1, 0, 0, 4, 5, 0], [0, 2, 0, 1, 0, 0, 5, 3, 1], [0, 2, 0, 1, 0, 0, 6, 1, 2], [0, 2, 0, 1, 0, 1, 2, 6, 0], [0, 2, 0, 1, 0, 1, 3, 4, 1], [0, 2, 0, 1, 0, 1, 4, 2, 2], [0, 2, 0, 1, 0, 1, 5, 0, 3], [0, 2, 0, 1, 0, 2, 0, 7, 0], [0, 2, 0, 1, 0, 2, 1, 5, 1], [0, 2, 0, 1, 0, 2, 2, 3, 2], [0, 2, 0, 1, 0, 2, 3, 1, 3], [0, 2, 0, 1, 0, 3, 0, 4, 2], [0, 2, 0, 1, 0, 3, 1, 2, 3], [0, 2, 0, 1, 0, 3, 2, 0, 4], [0, 2, 0, 1, 0, 4, 0, 1, 4], [0, 2, 0, 1, 1, 0, 1, 7, 0], [0, 2, 0, 1, 1, 0, 2, 5, 1], [0, 2, 0, 1, 1, 0, 3, 3, 2], [0, 2, 0, 1, 1, 0, 4, 1, 3], [0, 2, 0, 1, 1, 1, 0, 6, 1], [0, 2, 0, 1, 1, 1, 1, 4, 2], [0, 2, 0, 1, 1, 1, 2, 2, 3], [0, 2, 0, 1, 1, 1, 3, 0, 4], [0, 2, 0, 1, 1, 2, 0, 3, 3], [0, 2, 0, 1, 1, 2, 1, 1, 4], [0, 2, 0, 1, 1, 3, 0, 0, 5], [0, 2, 0, 1, 2, 0, 0, 5, 2], [0, 2, 0, 1, 2, 0, 1, 3, 3], [0, 2, 0, 1, 2, 0, 2, 1, 4], [0, 2, 0, 1, 2, 1, 0, 2, 4], [0, 2, 0, 1, 2, 1, 1, 0, 5], [0, 2, 0, 1, 3, 0, 0, 1, 5], [0, 2, 0, 2, 0, 0, 0, 8, 0], [0, 2, 0, 2, 0, 0, 1, 6, 1], [0, 2, 0, 2, 0, 0, 2, 4, 2], [0, 2, 0, 2, 0, 0, 3, 2, 3], [0, 2, 0, 2, 0, 0, 4, 0, 4], [0, 2, 0, 2, 0, 1, 0, 5, 2], [0, 2, 0, 2, 0, 1, 1, 3, 3], [0, 2, 0, 2, 0, 1, 2, 1, 4], [0, 2, 0, 2, 0, 2, 0, 2, 4], [0, 2, 0, 2, 0, 2, 1, 0, 5], [0, 2, 0, 2, 1, 0, 0, 4, 3], [0, 2, 0, 2, 1, 0, 1, 2, 4], [0, 2, 0, 2, 1, 0, 2, 0, 5], [0, 2, 0, 2, 1, 1, 0, 1, 5], [0, 2, 0, 2, 2, 0, 0, 0, 6], [0, 2, 0, 3, 0, 0, 0, 3, 4], [0, 2, 0, 3, 0, 0, 1, 1, 5], [0, 2, 0, 3, 0, 1, 0, 0, 6], [0, 2, 1, 0, 0, 0, 3, 6, 0], [0, 2, 1, 0, 0, 0, 4, 4, 1], [0, 2, 1, 0, 0, 0, 5, 2, 2], [0, 2, 1, 0, 0, 0, 6, 0, 3], [0, 2, 1, 0, 0, 1, 1, 7, 0], [0, 2, 1, 0, 0, 1, 2, 5, 1], [0, 2, 1, 0, 0, 1, 3, 3, 2], [0, 2, 1, 0, 0, 1, 4, 1, 3], [0, 2, 1, 0, 0, 2, 0, 6, 1], [0, 2, 1, 0, 0, 2, 1, 4, 2], [0, 2, 1, 0, 0, 2, 2, 2, 3], [0, 2, 1, 0, 0, 2, 3, 0, 4], [0, 2, 1, 0, 0, 3, 0, 3, 3], [0, 2, 1, 0, 0, 3, 1, 1, 4], [0, 2, 1, 0, 0, 4, 0, 0, 5], [0, 2, 1, 0, 1, 0, 0, 8, 0], [0, 2, 1, 0, 1, 0, 1, 6, 1], [0, 2, 1, 0, 1, 0, 2, 4, 2], [0, 2, 1, 0, 1, 0, 3, 2, 3], [0, 2, 1, 0, 1, 0, 4, 0, 4], [0, 2, 1, 0, 1, 1, 0, 5, 2], [0, 2, 1, 0, 1, 1, 1, 3, 3], [0, 2, 1, 0, 1, 1, 2, 1, 4], [0, 2, 1, 0, 1, 2, 0, 2, 4], [0, 2, 1, 0, 1, 2, 1, 0, 5], [0, 2, 1, 0, 2, 0, 0, 4, 3], [0, 2, 1, 0, 2, 0, 1, 2, 4], [0, 2, 1, 0, 2, 0, 2, 0, 5], [0, 2, 1, 0, 2, 1, 0, 1, 5], [0, 2, 1, 0, 3, 0, 0, 0, 6], [0, 2, 1, 1, 0, 0, 0, 7, 1], [0, 2, 1, 1, 0, 0, 1, 5, 2], [0, 2, 1, 1, 0, 0, 2, 3, 3], [0, 2, 1, 1, 0, 0, 3, 1, 4], [0, 2, 1, 1, 0, 1, 0, 4, 3], [0, 2, 1, 1, 0, 1, 1, 2, 4], [0, 2, 1, 1, 0, 1, 2, 0, 5], [0, 2, 1, 1, 0, 2, 0, 1, 5], [0, 2, 1, 1, 1, 0, 0, 3, 4], [0, 2, 1, 1, 1, 0, 1, 1, 5], [0, 2, 1, 1, 1, 1, 0, 0, 6], [0, 2, 1, 2, 0, 0, 0, 2, 5], [0, 2, 1, 2, 0, 0, 1, 0, 6], [0, 2, 2, 0, 0, 0, 0, 6, 2], [0, 2, 2, 0, 0, 0, 1, 4, 3], [0, 2, 2, 0, 0, 0, 2, 2, 4], [0, 2, 2, 0, 0, 0, 3, 0, 5], [0, 2, 2, 0, 0, 1, 0, 3, 4], [0, 2, 2, 0, 0, 1, 1, 1, 5], [0, 2, 2, 0, 0, 2, 0, 0, 6], [0, 2, 2, 0, 1, 0, 0, 2, 5], [0, 2, 2, 0, 1, 0, 1, 0, 6], [0, 2, 2, 1, 0, 0, 0, 1, 6], [0, 2, 3, 0, 0, 0, 0, 0, 7], [0, 3, 0, 0, 0, 0, 2, 7, 0], [0, 3, 0, 0, 0, 0, 3, 5, 1], [0, 3, 0, 0, 0, 0, 4, 3, 2], [0, 3, 0, 0, 0, 0, 5, 1, 3], [0, 3, 0, 0, 0, 1, 0, 8, 0], [0, 3, 0, 0, 0, 1, 1, 6, 1], [0, 3, 0, 0, 0, 1, 2, 4, 2], [0, 3, 0, 0, 0, 1, 3, 2, 3], [0, 3, 0, 0, 0, 1, 4, 0, 4], [0, 3, 0, 0, 0, 2, 0, 5, 2], [0, 3, 0, 0, 0, 2, 1, 3, 3], [0, 3, 0, 0, 0, 2, 2, 1, 4], [0, 3, 0, 0, 0, 3, 0, 2, 4], [0, 3, 0, 0, 0, 3, 1, 0, 5], [0, 3, 0, 0, 1, 0, 0, 7, 1], [0, 3, 0, 0, 1, 0, 1, 5, 2], [0, 3, 0, 0, 1, 0, 2, 3, 3], [0, 3, 0, 0, 1, 0, 3, 1, 4], [0, 3, 0, 0, 1, 1, 0, 4, 3], [0, 3, 0, 0, 1, 1, 1, 2, 4], [0, 3, 0, 0, 1, 1, 2, 0, 5], [0, 3, 0, 0, 1, 2, 0, 1, 5], [0, 3, 0, 0, 2, 0, 0, 3, 4], [0, 3, 0, 0, 2, 0, 1, 1, 5], [0, 3, 0, 0, 2, 1, 0, 0, 6], [0, 3, 0, 1, 0, 0, 0, 6, 2], [0, 3, 0, 1, 0, 0, 1, 4, 3], [0, 3, 0, 1, 0, 0, 2, 2, 4], [0, 3, 0, 1, 0, 0, 3, 0, 5], [0, 3, 0, 1, 0, 1, 0, 3, 4], [0, 3, 0, 1, 0, 1, 1, 1, 5], [0, 3, 0, 1, 0, 2, 0, 0, 6], [0, 3, 0, 1, 1, 0, 0, 2, 5], [0, 3, 0, 1, 1, 0, 1, 0, 6], [0, 3, 0, 2, 0, 0, 0, 1, 6], [0, 3, 1, 0, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 0, 2, 1, 5], [0, 3, 1, 0, 0, 1, 0, 2, 5], [0, 3, 1, 0, 0, 1, 1, 0, 6], [0, 3, 1, 0, 1, 0, 0, 1, 6], [0, 3, 1, 1, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 0, 1, 0, 1, 6], [0, 4, 0, 0, 1, 0, 0, 0, 7]} (9, 12, 1) has 2557 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, 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5], [0, 2, 0, 1, 1, 1, 0, 0, 5, 2], [0, 2, 0, 1, 1, 1, 0, 1, 3, 3], [0, 2, 0, 1, 1, 1, 0, 2, 1, 4], [0, 2, 0, 1, 1, 1, 1, 0, 2, 4], [0, 2, 0, 1, 1, 1, 1, 1, 0, 5], [0, 2, 0, 1, 1, 2, 0, 0, 1, 5], [0, 2, 0, 1, 2, 0, 0, 0, 4, 3], [0, 2, 0, 1, 2, 0, 0, 1, 2, 4], [0, 2, 0, 1, 2, 0, 0, 2, 0, 5], [0, 2, 0, 1, 2, 0, 1, 0, 1, 5], [0, 2, 0, 1, 2, 1, 0, 0, 0, 6], [0, 2, 0, 2, 0, 0, 0, 0, 8, 0], [0, 2, 0, 2, 0, 0, 0, 1, 6, 1], [0, 2, 0, 2, 0, 0, 0, 2, 4, 2], [0, 2, 0, 2, 0, 0, 0, 3, 2, 3], [0, 2, 0, 2, 0, 0, 0, 4, 0, 4], [0, 2, 0, 2, 0, 0, 1, 0, 5, 2], [0, 2, 0, 2, 0, 0, 1, 1, 3, 3], [0, 2, 0, 2, 0, 0, 1, 2, 1, 4], [0, 2, 0, 2, 0, 0, 2, 0, 2, 4], [0, 2, 0, 2, 0, 0, 2, 1, 0, 5], [0, 2, 0, 2, 0, 1, 0, 0, 4, 3], [0, 2, 0, 2, 0, 1, 0, 1, 2, 4], [0, 2, 0, 2, 0, 1, 0, 2, 0, 5], [0, 2, 0, 2, 0, 1, 1, 0, 1, 5], [0, 2, 0, 2, 0, 2, 0, 0, 0, 6], [0, 2, 0, 2, 1, 0, 0, 0, 3, 4], [0, 2, 0, 2, 1, 0, 0, 1, 1, 5], [0, 2, 0, 2, 1, 0, 1, 0, 0, 6], [0, 2, 0, 3, 0, 0, 0, 0, 2, 5], [0, 2, 0, 3, 0, 0, 0, 1, 0, 6], [0, 2, 1, 0, 0, 0, 0, 4, 5, 0], [0, 2, 1, 0, 0, 0, 0, 5, 3, 1], [0, 2, 1, 0, 0, 0, 0, 6, 1, 2], [0, 2, 1, 0, 0, 0, 1, 2, 6, 0], [0, 2, 1, 0, 0, 0, 1, 3, 4, 1], [0, 2, 1, 0, 0, 0, 1, 4, 2, 2], [0, 2, 1, 0, 0, 0, 1, 5, 0, 3], [0, 2, 1, 0, 0, 0, 2, 0, 7, 0], [0, 2, 1, 0, 0, 0, 2, 1, 5, 1], [0, 2, 1, 0, 0, 0, 2, 2, 3, 2], [0, 2, 1, 0, 0, 0, 2, 3, 1, 3], [0, 2, 1, 0, 0, 0, 3, 0, 4, 2], [0, 2, 1, 0, 0, 0, 3, 1, 2, 3], [0, 2, 1, 0, 0, 0, 3, 2, 0, 4], [0, 2, 1, 0, 0, 0, 4, 0, 1, 4], [0, 2, 1, 0, 0, 1, 0, 1, 7, 0], [0, 2, 1, 0, 0, 1, 0, 2, 5, 1], [0, 2, 1, 0, 0, 1, 0, 3, 3, 2], [0, 2, 1, 0, 0, 1, 0, 4, 1, 3], [0, 2, 1, 0, 0, 1, 1, 0, 6, 1], [0, 2, 1, 0, 0, 1, 1, 1, 4, 2], [0, 2, 1, 0, 0, 1, 1, 2, 2, 3], [0, 2, 1, 0, 0, 1, 1, 3, 0, 4], [0, 2, 1, 0, 0, 1, 2, 0, 3, 3], [0, 2, 1, 0, 0, 1, 2, 1, 1, 4], [0, 2, 1, 0, 0, 1, 3, 0, 0, 5], [0, 2, 1, 0, 0, 2, 0, 0, 5, 2], [0, 2, 1, 0, 0, 2, 0, 1, 3, 3], [0, 2, 1, 0, 0, 2, 0, 2, 1, 4], [0, 2, 1, 0, 0, 2, 1, 0, 2, 4], [0, 2, 1, 0, 0, 2, 1, 1, 0, 5], [0, 2, 1, 0, 0, 3, 0, 0, 1, 5], [0, 2, 1, 0, 1, 0, 0, 0, 8, 0], [0, 2, 1, 0, 1, 0, 0, 1, 6, 1], [0, 2, 1, 0, 1, 0, 0, 2, 4, 2], [0, 2, 1, 0, 1, 0, 0, 3, 2, 3], [0, 2, 1, 0, 1, 0, 0, 4, 0, 4], [0, 2, 1, 0, 1, 0, 1, 0, 5, 2], [0, 2, 1, 0, 1, 0, 1, 1, 3, 3], [0, 2, 1, 0, 1, 0, 1, 2, 1, 4], [0, 2, 1, 0, 1, 0, 2, 0, 2, 4], [0, 2, 1, 0, 1, 0, 2, 1, 0, 5], [0, 2, 1, 0, 1, 1, 0, 0, 4, 3], [0, 2, 1, 0, 1, 1, 0, 1, 2, 4], [0, 2, 1, 0, 1, 1, 0, 2, 0, 5], [0, 2, 1, 0, 1, 1, 1, 0, 1, 5], [0, 2, 1, 0, 1, 2, 0, 0, 0, 6], [0, 2, 1, 0, 2, 0, 0, 0, 3, 4], [0, 2, 1, 0, 2, 0, 0, 1, 1, 5], [0, 2, 1, 0, 2, 0, 1, 0, 0, 6], [0, 2, 1, 1, 0, 0, 0, 0, 7, 1], [0, 2, 1, 1, 0, 0, 0, 1, 5, 2], [0, 2, 1, 1, 0, 0, 0, 2, 3, 3], [0, 2, 1, 1, 0, 0, 0, 3, 1, 4], [0, 2, 1, 1, 0, 0, 1, 0, 4, 3], [0, 2, 1, 1, 0, 0, 1, 1, 2, 4], [0, 2, 1, 1, 0, 0, 1, 2, 0, 5], [0, 2, 1, 1, 0, 0, 2, 0, 1, 5], [0, 2, 1, 1, 0, 1, 0, 0, 3, 4], [0, 2, 1, 1, 0, 1, 0, 1, 1, 5], [0, 2, 1, 1, 0, 1, 1, 0, 0, 6], [0, 2, 1, 1, 1, 0, 0, 0, 2, 5], [0, 2, 1, 1, 1, 0, 0, 1, 0, 6], [0, 2, 1, 2, 0, 0, 0, 0, 1, 6], [0, 2, 2, 0, 0, 0, 0, 0, 6, 2], [0, 2, 2, 0, 0, 0, 0, 1, 4, 3], [0, 2, 2, 0, 0, 0, 0, 2, 2, 4], [0, 2, 2, 0, 0, 0, 0, 3, 0, 5], [0, 2, 2, 0, 0, 0, 1, 0, 3, 4], [0, 2, 2, 0, 0, 0, 1, 1, 1, 5], [0, 2, 2, 0, 0, 0, 2, 0, 0, 6], [0, 2, 2, 0, 0, 1, 0, 0, 2, 5], [0, 2, 2, 0, 0, 1, 0, 1, 0, 6], [0, 2, 2, 0, 1, 0, 0, 0, 1, 6], [0, 2, 2, 1, 0, 0, 0, 0, 0, 7], [0, 3, 0, 0, 0, 0, 0, 3, 6, 0], [0, 3, 0, 0, 0, 0, 0, 4, 4, 1], [0, 3, 0, 0, 0, 0, 0, 5, 2, 2], [0, 3, 0, 0, 0, 0, 0, 6, 0, 3], [0, 3, 0, 0, 0, 0, 1, 1, 7, 0], [0, 3, 0, 0, 0, 0, 1, 2, 5, 1], [0, 3, 0, 0, 0, 0, 1, 3, 3, 2], [0, 3, 0, 0, 0, 0, 1, 4, 1, 3], [0, 3, 0, 0, 0, 0, 2, 0, 6, 1], [0, 3, 0, 0, 0, 0, 2, 1, 4, 2], [0, 3, 0, 0, 0, 0, 2, 2, 2, 3], [0, 3, 0, 0, 0, 0, 2, 3, 0, 4], [0, 3, 0, 0, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 1, 1, 4], [0, 3, 0, 0, 0, 0, 4, 0, 0, 5], [0, 3, 0, 0, 0, 1, 0, 0, 8, 0], [0, 3, 0, 0, 0, 1, 0, 1, 6, 1], [0, 3, 0, 0, 0, 1, 0, 2, 4, 2], [0, 3, 0, 0, 0, 1, 0, 3, 2, 3], [0, 3, 0, 0, 0, 1, 0, 4, 0, 4], [0, 3, 0, 0, 0, 1, 1, 0, 5, 2], [0, 3, 0, 0, 0, 1, 1, 1, 3, 3], [0, 3, 0, 0, 0, 1, 1, 2, 1, 4], [0, 3, 0, 0, 0, 1, 2, 0, 2, 4], [0, 3, 0, 0, 0, 1, 2, 1, 0, 5], [0, 3, 0, 0, 0, 2, 0, 0, 4, 3], [0, 3, 0, 0, 0, 2, 0, 1, 2, 4], [0, 3, 0, 0, 0, 2, 0, 2, 0, 5], [0, 3, 0, 0, 0, 2, 1, 0, 1, 5], [0, 3, 0, 0, 0, 3, 0, 0, 0, 6], [0, 3, 0, 0, 1, 0, 0, 0, 7, 1], [0, 3, 0, 0, 1, 0, 0, 1, 5, 2], [0, 3, 0, 0, 1, 0, 0, 2, 3, 3], [0, 3, 0, 0, 1, 0, 0, 3, 1, 4], [0, 3, 0, 0, 1, 0, 1, 0, 4, 3], [0, 3, 0, 0, 1, 0, 1, 1, 2, 4], [0, 3, 0, 0, 1, 0, 1, 2, 0, 5], [0, 3, 0, 0, 1, 0, 2, 0, 1, 5], [0, 3, 0, 0, 1, 1, 0, 0, 3, 4], [0, 3, 0, 0, 1, 1, 0, 1, 1, 5], [0, 3, 0, 0, 1, 1, 1, 0, 0, 6], [0, 3, 0, 0, 2, 0, 0, 0, 2, 5], [0, 3, 0, 0, 2, 0, 0, 1, 0, 6], [0, 3, 0, 1, 0, 0, 0, 0, 6, 2], [0, 3, 0, 1, 0, 0, 0, 1, 4, 3], [0, 3, 0, 1, 0, 0, 0, 2, 2, 4], [0, 3, 0, 1, 0, 0, 0, 3, 0, 5], [0, 3, 0, 1, 0, 0, 1, 0, 3, 4], [0, 3, 0, 1, 0, 0, 1, 1, 1, 5], [0, 3, 0, 1, 0, 0, 2, 0, 0, 6], [0, 3, 0, 1, 0, 1, 0, 0, 2, 5], [0, 3, 0, 1, 0, 1, 0, 1, 0, 6], [0, 3, 0, 1, 1, 0, 0, 0, 1, 6], [0, 3, 0, 2, 0, 0, 0, 0, 0, 7], [0, 3, 1, 0, 0, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 0, 0, 2, 1, 5], [0, 3, 1, 0, 0, 0, 1, 0, 2, 5], [0, 3, 1, 0, 0, 0, 1, 1, 0, 6], [0, 3, 1, 0, 0, 1, 0, 0, 1, 6], [0, 3, 1, 0, 1, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 0, 0, 1, 0, 1, 6], [0, 4, 0, 0, 0, 1, 0, 0, 0, 7]} (10, 12, 1) has 5155 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, 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2, 1, 0, 0, 0, 1, 1, 1, 5, 1], [0, 2, 1, 0, 0, 0, 1, 1, 2, 3, 2], [0, 2, 1, 0, 0, 0, 1, 1, 3, 1, 3], [0, 2, 1, 0, 0, 0, 1, 2, 0, 4, 2], [0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 3], [0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 4], [0, 2, 1, 0, 0, 0, 1, 3, 0, 1, 4], [0, 2, 1, 0, 0, 0, 2, 0, 0, 6, 1], [0, 2, 1, 0, 0, 0, 2, 0, 1, 4, 2], [0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 3], [0, 2, 1, 0, 0, 0, 2, 0, 3, 0, 4], [0, 2, 1, 0, 0, 0, 2, 1, 0, 3, 3], [0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 4], [0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 5], [0, 2, 1, 0, 0, 0, 3, 0, 0, 2, 4], [0, 2, 1, 0, 0, 0, 3, 0, 1, 0, 5], [0, 2, 1, 0, 0, 1, 0, 0, 1, 7, 0], [0, 2, 1, 0, 0, 1, 0, 0, 2, 5, 1], [0, 2, 1, 0, 0, 1, 0, 0, 3, 3, 2], [0, 2, 1, 0, 0, 1, 0, 0, 4, 1, 3], [0, 2, 1, 0, 0, 1, 0, 1, 0, 6, 1], [0, 2, 1, 0, 0, 1, 0, 1, 1, 4, 2], [0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 3], [0, 2, 1, 0, 0, 1, 0, 1, 3, 0, 4], [0, 2, 1, 0, 0, 1, 0, 2, 0, 3, 3], [0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 4], [0, 2, 1, 0, 0, 1, 0, 3, 0, 0, 5], [0, 2, 1, 0, 0, 1, 1, 0, 0, 5, 2], [0, 2, 1, 0, 0, 1, 1, 0, 1, 3, 3], [0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 4], [0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 4], [0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 5], [0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 5], [0, 2, 1, 0, 0, 2, 0, 0, 0, 4, 3], [0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 4], [0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 5], [0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 5], [0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 6], [0, 2, 1, 0, 1, 0, 0, 0, 0, 8, 0], [0, 2, 1, 0, 1, 0, 0, 0, 1, 6, 1], [0, 2, 1, 0, 1, 0, 0, 0, 2, 4, 2], [0, 2, 1, 0, 1, 0, 0, 0, 3, 2, 3], [0, 2, 1, 0, 1, 0, 0, 0, 4, 0, 4], [0, 2, 1, 0, 1, 0, 0, 1, 0, 5, 2], [0, 2, 1, 0, 1, 0, 0, 1, 1, 3, 3], [0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 4], [0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 4], [0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 5], [0, 2, 1, 0, 1, 0, 1, 0, 0, 4, 3], [0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 4], [0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 5], [0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 5], [0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 6], [0, 2, 1, 0, 1, 1, 0, 0, 0, 3, 4], [0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 5], [0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 6], [0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 5], [0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 6], [0, 2, 1, 1, 0, 0, 0, 0, 0, 7, 1], [0, 2, 1, 1, 0, 0, 0, 0, 1, 5, 2], [0, 2, 1, 1, 0, 0, 0, 0, 2, 3, 3], [0, 2, 1, 1, 0, 0, 0, 0, 3, 1, 4], [0, 2, 1, 1, 0, 0, 0, 1, 0, 4, 3], [0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 4], [0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 5], [0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 5], [0, 2, 1, 1, 0, 0, 1, 0, 0, 3, 4], [0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 5], [0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 6], [0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 5], [0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 6], [0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 6], [0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 7], [0, 2, 2, 0, 0, 0, 0, 0, 0, 6, 2], [0, 2, 2, 0, 0, 0, 0, 0, 1, 4, 3], [0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 4], [0, 2, 2, 0, 0, 0, 0, 0, 3, 0, 5], [0, 2, 2, 0, 0, 0, 0, 1, 0, 3, 4], [0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 5], [0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 6], [0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 5], [0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 6], [0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 6], [0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 7], [0, 3, 0, 0, 0, 0, 0, 0, 4, 5, 0], [0, 3, 0, 0, 0, 0, 0, 0, 5, 3, 1], [0, 3, 0, 0, 0, 0, 0, 0, 6, 1, 2], [0, 3, 0, 0, 0, 0, 0, 1, 2, 6, 0], [0, 3, 0, 0, 0, 0, 0, 1, 3, 4, 1], [0, 3, 0, 0, 0, 0, 0, 1, 4, 2, 2], [0, 3, 0, 0, 0, 0, 0, 1, 5, 0, 3], [0, 3, 0, 0, 0, 0, 0, 2, 0, 7, 0], [0, 3, 0, 0, 0, 0, 0, 2, 1, 5, 1], [0, 3, 0, 0, 0, 0, 0, 2, 2, 3, 2], [0, 3, 0, 0, 0, 0, 0, 2, 3, 1, 3], [0, 3, 0, 0, 0, 0, 0, 3, 0, 4, 2], [0, 3, 0, 0, 0, 0, 0, 3, 1, 2, 3], [0, 3, 0, 0, 0, 0, 0, 3, 2, 0, 4], [0, 3, 0, 0, 0, 0, 0, 4, 0, 1, 4], [0, 3, 0, 0, 0, 0, 1, 0, 1, 7, 0], [0, 3, 0, 0, 0, 0, 1, 0, 2, 5, 1], [0, 3, 0, 0, 0, 0, 1, 0, 3, 3, 2], [0, 3, 0, 0, 0, 0, 1, 0, 4, 1, 3], [0, 3, 0, 0, 0, 0, 1, 1, 0, 6, 1], [0, 3, 0, 0, 0, 0, 1, 1, 1, 4, 2], [0, 3, 0, 0, 0, 0, 1, 1, 2, 2, 3], [0, 3, 0, 0, 0, 0, 1, 1, 3, 0, 4], [0, 3, 0, 0, 0, 0, 1, 2, 0, 3, 3], [0, 3, 0, 0, 0, 0, 1, 2, 1, 1, 4], [0, 3, 0, 0, 0, 0, 1, 3, 0, 0, 5], [0, 3, 0, 0, 0, 0, 2, 0, 0, 5, 2], [0, 3, 0, 0, 0, 0, 2, 0, 1, 3, 3], [0, 3, 0, 0, 0, 0, 2, 0, 2, 1, 4], [0, 3, 0, 0, 0, 0, 2, 1, 0, 2, 4], [0, 3, 0, 0, 0, 0, 2, 1, 1, 0, 5], [0, 3, 0, 0, 0, 0, 3, 0, 0, 1, 5], [0, 3, 0, 0, 0, 1, 0, 0, 0, 8, 0], [0, 3, 0, 0, 0, 1, 0, 0, 1, 6, 1], [0, 3, 0, 0, 0, 1, 0, 0, 2, 4, 2], [0, 3, 0, 0, 0, 1, 0, 0, 3, 2, 3], [0, 3, 0, 0, 0, 1, 0, 0, 4, 0, 4], [0, 3, 0, 0, 0, 1, 0, 1, 0, 5, 2], [0, 3, 0, 0, 0, 1, 0, 1, 1, 3, 3], [0, 3, 0, 0, 0, 1, 0, 1, 2, 1, 4], [0, 3, 0, 0, 0, 1, 0, 2, 0, 2, 4], [0, 3, 0, 0, 0, 1, 0, 2, 1, 0, 5], [0, 3, 0, 0, 0, 1, 1, 0, 0, 4, 3], [0, 3, 0, 0, 0, 1, 1, 0, 1, 2, 4], [0, 3, 0, 0, 0, 1, 1, 0, 2, 0, 5], [0, 3, 0, 0, 0, 1, 1, 1, 0, 1, 5], [0, 3, 0, 0, 0, 1, 2, 0, 0, 0, 6], [0, 3, 0, 0, 0, 2, 0, 0, 0, 3, 4], [0, 3, 0, 0, 0, 2, 0, 0, 1, 1, 5], [0, 3, 0, 0, 0, 2, 0, 1, 0, 0, 6], [0, 3, 0, 0, 1, 0, 0, 0, 0, 7, 1], [0, 3, 0, 0, 1, 0, 0, 0, 1, 5, 2], [0, 3, 0, 0, 1, 0, 0, 0, 2, 3, 3], [0, 3, 0, 0, 1, 0, 0, 0, 3, 1, 4], [0, 3, 0, 0, 1, 0, 0, 1, 0, 4, 3], [0, 3, 0, 0, 1, 0, 0, 1, 1, 2, 4], [0, 3, 0, 0, 1, 0, 0, 1, 2, 0, 5], [0, 3, 0, 0, 1, 0, 0, 2, 0, 1, 5], [0, 3, 0, 0, 1, 0, 1, 0, 0, 3, 4], [0, 3, 0, 0, 1, 0, 1, 0, 1, 1, 5], [0, 3, 0, 0, 1, 0, 1, 1, 0, 0, 6], [0, 3, 0, 0, 1, 1, 0, 0, 0, 2, 5], [0, 3, 0, 0, 1, 1, 0, 0, 1, 0, 6], [0, 3, 0, 0, 2, 0, 0, 0, 0, 1, 6], [0, 3, 0, 1, 0, 0, 0, 0, 0, 6, 2], [0, 3, 0, 1, 0, 0, 0, 0, 1, 4, 3], [0, 3, 0, 1, 0, 0, 0, 0, 2, 2, 4], [0, 3, 0, 1, 0, 0, 0, 0, 3, 0, 5], [0, 3, 0, 1, 0, 0, 0, 1, 0, 3, 4], [0, 3, 0, 1, 0, 0, 0, 1, 1, 1, 5], [0, 3, 0, 1, 0, 0, 0, 2, 0, 0, 6], [0, 3, 0, 1, 0, 0, 1, 0, 0, 2, 5], [0, 3, 0, 1, 0, 0, 1, 0, 1, 0, 6], [0, 3, 0, 1, 0, 1, 0, 0, 0, 1, 6], [0, 3, 0, 1, 1, 0, 0, 0, 0, 0, 7], [0, 3, 1, 0, 0, 0, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 0, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 0, 0, 0, 2, 1, 5], [0, 3, 1, 0, 0, 0, 0, 1, 0, 2, 5], [0, 3, 1, 0, 0, 0, 0, 1, 1, 0, 6], [0, 3, 1, 0, 0, 0, 1, 0, 0, 1, 6], [0, 3, 1, 0, 0, 1, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 0, 0, 0, 1, 0, 1, 6], [0, 4, 0, 0, 0, 0, 1, 0, 0, 0, 7]} (11, 12, 1) has 9921 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, 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[0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 4, 3], [0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 4], [0, 2, 2, 0, 0, 0, 0, 0, 0, 3, 0, 5], [0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 3, 4], [0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 5], [0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 6], [0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 5], [0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 6], [0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 6], [0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 7], [0, 3, 0, 0, 0, 0, 0, 0, 0, 5, 4, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 6, 2, 1], [0, 3, 0, 0, 0, 0, 0, 0, 0, 7, 0, 2], [0, 3, 0, 0, 0, 0, 0, 0, 1, 3, 5, 0], [0, 3, 0, 0, 0, 0, 0, 0, 1, 4, 3, 1], [0, 3, 0, 0, 0, 0, 0, 0, 1, 5, 1, 2], [0, 3, 0, 0, 0, 0, 0, 0, 2, 1, 6, 0], [0, 3, 0, 0, 0, 0, 0, 0, 2, 2, 4, 1], [0, 3, 0, 0, 0, 0, 0, 0, 2, 3, 2, 2], [0, 3, 0, 0, 0, 0, 0, 0, 2, 4, 0, 3], [0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 5, 1], [0, 3, 0, 0, 0, 0, 0, 0, 3, 1, 3, 2], [0, 3, 0, 0, 0, 0, 0, 0, 3, 2, 1, 3], [0, 3, 0, 0, 0, 0, 0, 0, 4, 0, 2, 3], [0, 3, 0, 0, 0, 0, 0, 0, 4, 1, 0, 4], [0, 3, 0, 0, 0, 0, 0, 1, 0, 2, 6, 0], [0, 3, 0, 0, 0, 0, 0, 1, 0, 3, 4, 1], [0, 3, 0, 0, 0, 0, 0, 1, 0, 4, 2, 2], [0, 3, 0, 0, 0, 0, 0, 1, 0, 5, 0, 3], [0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 7, 0], [0, 3, 0, 0, 0, 0, 0, 1, 1, 1, 5, 1], [0, 3, 0, 0, 0, 0, 0, 1, 1, 2, 3, 2], [0, 3, 0, 0, 0, 0, 0, 1, 1, 3, 1, 3], [0, 3, 0, 0, 0, 0, 0, 1, 2, 0, 4, 2], [0, 3, 0, 0, 0, 0, 0, 1, 2, 1, 2, 3], [0, 3, 0, 0, 0, 0, 0, 1, 2, 2, 0, 4], [0, 3, 0, 0, 0, 0, 0, 1, 3, 0, 1, 4], [0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 6, 1], [0, 3, 0, 0, 0, 0, 0, 2, 0, 1, 4, 2], [0, 3, 0, 0, 0, 0, 0, 2, 0, 2, 2, 3], [0, 3, 0, 0, 0, 0, 0, 2, 0, 3, 0, 4], [0, 3, 0, 0, 0, 0, 0, 2, 1, 0, 3, 3], [0, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4], [0, 3, 0, 0, 0, 0, 0, 2, 2, 0, 0, 5], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 2, 4], [0, 3, 0, 0, 0, 0, 0, 3, 0, 1, 0, 5], [0, 3, 0, 0, 0, 0, 1, 0, 0, 1, 7, 0], [0, 3, 0, 0, 0, 0, 1, 0, 0, 2, 5, 1], [0, 3, 0, 0, 0, 0, 1, 0, 0, 3, 3, 2], [0, 3, 0, 0, 0, 0, 1, 0, 0, 4, 1, 3], [0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 6, 1], [0, 3, 0, 0, 0, 0, 1, 0, 1, 1, 4, 2], [0, 3, 0, 0, 0, 0, 1, 0, 1, 2, 2, 3], [0, 3, 0, 0, 0, 0, 1, 0, 1, 3, 0, 4], [0, 3, 0, 0, 0, 0, 1, 0, 2, 0, 3, 3], [0, 3, 0, 0, 0, 0, 1, 0, 2, 1, 1, 4], [0, 3, 0, 0, 0, 0, 1, 0, 3, 0, 0, 5], [0, 3, 0, 0, 0, 0, 1, 1, 0, 0, 5, 2], [0, 3, 0, 0, 0, 0, 1, 1, 0, 1, 3, 3], [0, 3, 0, 0, 0, 0, 1, 1, 0, 2, 1, 4], [0, 3, 0, 0, 0, 0, 1, 1, 1, 0, 2, 4], [0, 3, 0, 0, 0, 0, 1, 1, 1, 1, 0, 5], [0, 3, 0, 0, 0, 0, 1, 2, 0, 0, 1, 5], [0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 4, 3], [0, 3, 0, 0, 0, 0, 2, 0, 0, 1, 2, 4], [0, 3, 0, 0, 0, 0, 2, 0, 0, 2, 0, 5], [0, 3, 0, 0, 0, 0, 2, 0, 1, 0, 1, 5], [0, 3, 0, 0, 0, 0, 2, 1, 0, 0, 0, 6], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 8, 0], [0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 6, 1], [0, 3, 0, 0, 0, 1, 0, 0, 0, 2, 4, 2], [0, 3, 0, 0, 0, 1, 0, 0, 0, 3, 2, 3], [0, 3, 0, 0, 0, 1, 0, 0, 0, 4, 0, 4], [0, 3, 0, 0, 0, 1, 0, 0, 1, 0, 5, 2], [0, 3, 0, 0, 0, 1, 0, 0, 1, 1, 3, 3], [0, 3, 0, 0, 0, 1, 0, 0, 1, 2, 1, 4], [0, 3, 0, 0, 0, 1, 0, 0, 2, 0, 2, 4], [0, 3, 0, 0, 0, 1, 0, 0, 2, 1, 0, 5], [0, 3, 0, 0, 0, 1, 0, 1, 0, 0, 4, 3], [0, 3, 0, 0, 0, 1, 0, 1, 0, 1, 2, 4], [0, 3, 0, 0, 0, 1, 0, 1, 0, 2, 0, 5], [0, 3, 0, 0, 0, 1, 0, 1, 1, 0, 1, 5], [0, 3, 0, 0, 0, 1, 0, 2, 0, 0, 0, 6], [0, 3, 0, 0, 0, 1, 1, 0, 0, 0, 3, 4], [0, 3, 0, 0, 0, 1, 1, 0, 0, 1, 1, 5], [0, 3, 0, 0, 0, 1, 1, 0, 1, 0, 0, 6], [0, 3, 0, 0, 0, 2, 0, 0, 0, 0, 2, 5], [0, 3, 0, 0, 0, 2, 0, 0, 0, 1, 0, 6], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 7, 1], [0, 3, 0, 0, 1, 0, 0, 0, 0, 1, 5, 2], [0, 3, 0, 0, 1, 0, 0, 0, 0, 2, 3, 3], [0, 3, 0, 0, 1, 0, 0, 0, 0, 3, 1, 4], [0, 3, 0, 0, 1, 0, 0, 0, 1, 0, 4, 3], [0, 3, 0, 0, 1, 0, 0, 0, 1, 1, 2, 4], [0, 3, 0, 0, 1, 0, 0, 0, 1, 2, 0, 5], [0, 3, 0, 0, 1, 0, 0, 0, 2, 0, 1, 5], [0, 3, 0, 0, 1, 0, 0, 1, 0, 0, 3, 4], [0, 3, 0, 0, 1, 0, 0, 1, 0, 1, 1, 5], [0, 3, 0, 0, 1, 0, 0, 1, 1, 0, 0, 6], [0, 3, 0, 0, 1, 0, 1, 0, 0, 0, 2, 5], [0, 3, 0, 0, 1, 0, 1, 0, 0, 1, 0, 6], [0, 3, 0, 0, 1, 1, 0, 0, 0, 0, 1, 6], [0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 7], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 6, 2], [0, 3, 0, 1, 0, 0, 0, 0, 0, 1, 4, 3], [0, 3, 0, 1, 0, 0, 0, 0, 0, 2, 2, 4], [0, 3, 0, 1, 0, 0, 0, 0, 0, 3, 0, 5], [0, 3, 0, 1, 0, 0, 0, 0, 1, 0, 3, 4], [0, 3, 0, 1, 0, 0, 0, 0, 1, 1, 1, 5], [0, 3, 0, 1, 0, 0, 0, 0, 2, 0, 0, 6], [0, 3, 0, 1, 0, 0, 0, 1, 0, 0, 2, 5], [0, 3, 0, 1, 0, 0, 0, 1, 0, 1, 0, 6], [0, 3, 0, 1, 0, 0, 1, 0, 0, 0, 1, 6], [0, 3, 0, 1, 0, 1, 0, 0, 0, 0, 0, 7], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 0, 0, 0, 0, 2, 1, 5], [0, 3, 1, 0, 0, 0, 0, 0, 1, 0, 2, 5], [0, 3, 1, 0, 0, 0, 0, 0, 1, 1, 0, 6], [0, 3, 1, 0, 0, 0, 0, 1, 0, 0, 1, 6], [0, 3, 1, 0, 0, 0, 1, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 6], [0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 7]} (12, 12, 1) has 18320 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, 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0, 1, 0, 3, 0, 1, 4], [0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 6, 1], [0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 1, 4, 2], [0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 3], [0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 3, 0, 4], [0, 3, 0, 0, 0, 0, 0, 1, 1, 1, 0, 3, 3], [0, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4], [0, 3, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 5], [0, 3, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 4], [0, 3, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 5], [0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 5, 2], [0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 1, 3, 3], [0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 4], [0, 3, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 4], [0, 3, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 5], [0, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 5], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6], [0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 1, 7, 0], [0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 2, 5, 1], [0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 3, 3, 2], [0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 4, 1, 3], [0, 3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 6, 1], [0, 3, 0, 0, 0, 0, 1, 0, 0, 1, 1, 4, 2], [0, 3, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 3], [0, 3, 0, 0, 0, 0, 1, 0, 0, 1, 3, 0, 4], [0, 3, 0, 0, 0, 0, 1, 0, 0, 2, 0, 3, 3], [0, 3, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 4], [0, 3, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 5], [0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 0, 5, 2], [0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 1, 3, 3], [0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 4], [0, 3, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 4], [0, 3, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 5], [0, 3, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 5], [0, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 4, 3], [0, 3, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 4], [0, 3, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 5], [0, 3, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 5], [0, 3, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 6], [0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 4], [0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 5], [0, 3, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 6], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 0], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 1, 6, 1], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 2, 4, 2], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 3, 2, 3], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 4, 0, 4], [0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 5, 2], [0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 1, 3, 3], [0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 4], [0, 3, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 4], [0, 3, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 5], [0, 3, 0, 0, 0, 1, 0, 0, 1, 0, 0, 4, 3], [0, 3, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 4], [0, 3, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 5], [0, 3, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 5], [0, 3, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 6], [0, 3, 0, 0, 0, 1, 0, 1, 0, 0, 0, 3, 4], [0, 3, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 5], [0, 3, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 6], [0, 3, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 5], [0, 3, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 6], [0, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 6], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 7, 1], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 1, 5, 2], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 2, 3, 3], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 3, 1, 4], [0, 3, 0, 0, 1, 0, 0, 0, 0, 1, 0, 4, 3], [0, 3, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 4], [0, 3, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 5], [0, 3, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 5], [0, 3, 0, 0, 1, 0, 0, 0, 1, 0, 0, 3, 4], [0, 3, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 5], [0, 3, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 6], [0, 3, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 5], [0, 3, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 6], [0, 3, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 6], [0, 3, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 7], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 6, 2], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 1, 4, 3], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 4], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 3, 0, 5], [0, 3, 0, 1, 0, 0, 0, 0, 0, 1, 0, 3, 4], [0, 3, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 5], [0, 3, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 6], [0, 3, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 5], [0, 3, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 6], [0, 3, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 6], [0, 3, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 7], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 5], [0, 3, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 5], [0, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 6], [0, 3, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 6], [0, 3, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 6], [0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 7]} (13, 12, 1) has 32647 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, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 2, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 3, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 4, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 1, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1, 2, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 4, 5, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 5, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 5, 4, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 5, 5, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 6, 1, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 6, 2, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 6, 3, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 6, 3, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 6, 4, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1, 7, 0, 3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 7, 1, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 7, 1, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 7, 2, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 7, 2, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1, 8, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 8, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 8, 0, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1, 8, 1, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 1, 8, 1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1, 9, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 2, 0, 10, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 1, 8, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 6, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 7, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 3, 6, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 2, 4, 2, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 4, 3, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 4, 4, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 4, 4, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 2, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 5, 1, 3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 5, 2, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 5, 2, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 2, 5, 3, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 2, 5, 3, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 3, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 2, 6, 1, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 6, 1, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 2, 6, 1, 2, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 2, 6, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 6, 2, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 0, 2, 1, 0], [0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 1, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 2, 7, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 3, 0, 7, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 8, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 1, 5, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 1, 6, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 1, 7, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 3, 2, 3, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 2, 4, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 2, 5, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 2, 5, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 3, 2, 6, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 3, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 4, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 4, 1, 0, 0, 1], [0, 0, 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3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 8, 0], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 6, 1], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 4, 2], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 2, 3], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 0, 4], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 5, 2], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 3, 3], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 4], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 4], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 5], [0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 4, 3], [0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 4], [0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 5], [0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 5], [0, 3, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 6], [0, 3, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 3, 4], [0, 3, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 5], [0, 3, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 6], [0, 3, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 5], [0, 3, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 6], [0, 3, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 6], [0, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 7], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 7, 1], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 5, 2], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 3, 3], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 1, 4], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 4, 3], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 4], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 5], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 5], [0, 3, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 3, 4], [0, 3, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 5], [0, 3, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 6], [0, 3, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 5], [0, 3, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 6], [0, 3, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 6], [0, 3, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 7], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 6, 2], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 3], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 5], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 3, 4], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 6], [0, 3, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 5], [0, 3, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 6], [0, 3, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 6], [0, 3, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 7], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 5], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 5], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 6], [0, 3, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 6], [0, 3, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 6], [0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 7]} ------- (15, 12, 1) Remaining distance distributions after General for EXTERNAL point (1, 12, 1) has 0 possible DDs: {} (2, 12, 1) has 1 possible DDs: {[0, 8, 4]} (3, 12, 1) has 7 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]} (4, 12, 1) has 24 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]} (5, 12, 1) has 77 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]} (6, 12, 1) has 212 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]} (7, 12, 1) has 525 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], 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2, 4], [0, 1, 2, 1, 2, 1, 0, 5], [0, 1, 2, 2, 0, 0, 4, 3], [0, 1, 2, 2, 0, 1, 2, 4], [0, 1, 2, 2, 0, 2, 0, 5], [0, 1, 2, 2, 1, 0, 1, 5], [0, 1, 2, 3, 0, 0, 0, 6], [0, 1, 3, 0, 0, 0, 7, 1], [0, 1, 3, 0, 0, 1, 5, 2], [0, 1, 3, 0, 0, 2, 3, 3], [0, 1, 3, 0, 0, 3, 1, 4], [0, 1, 3, 0, 1, 0, 4, 3], [0, 1, 3, 0, 1, 1, 2, 4], [0, 1, 3, 0, 1, 2, 0, 5], [0, 1, 3, 0, 2, 0, 1, 5], [0, 1, 3, 1, 0, 0, 3, 4], [0, 1, 3, 1, 0, 1, 1, 5], [0, 1, 3, 1, 1, 0, 0, 6], [0, 1, 4, 0, 0, 0, 2, 5], [0, 1, 4, 0, 0, 1, 0, 6], [0, 2, 0, 0, 0, 6, 4, 0], [0, 2, 0, 0, 0, 7, 2, 1], [0, 2, 0, 0, 0, 8, 0, 2], [0, 2, 0, 0, 1, 4, 5, 0], [0, 2, 0, 0, 1, 5, 3, 1], [0, 2, 0, 0, 1, 6, 1, 2], [0, 2, 0, 0, 2, 2, 6, 0], [0, 2, 0, 0, 2, 3, 4, 1], [0, 2, 0, 0, 2, 4, 2, 2], [0, 2, 0, 0, 2, 5, 0, 3], [0, 2, 0, 0, 3, 0, 7, 0], [0, 2, 0, 0, 3, 1, 5, 1], [0, 2, 0, 0, 3, 2, 3, 2], [0, 2, 0, 0, 3, 3, 1, 3], [0, 2, 0, 0, 4, 0, 4, 2], [0, 2, 0, 0, 4, 1, 2, 3], [0, 2, 0, 0, 4, 2, 0, 4], [0, 2, 0, 0, 5, 0, 1, 4], [0, 2, 0, 1, 0, 3, 6, 0], [0, 2, 0, 1, 0, 4, 4, 1], [0, 2, 0, 1, 0, 5, 2, 2], [0, 2, 0, 1, 0, 6, 0, 3], [0, 2, 0, 1, 1, 1, 7, 0], [0, 2, 0, 1, 1, 2, 5, 1], [0, 2, 0, 1, 1, 3, 3, 2], [0, 2, 0, 1, 1, 4, 1, 3], [0, 2, 0, 1, 2, 0, 6, 1], [0, 2, 0, 1, 2, 1, 4, 2], [0, 2, 0, 1, 2, 2, 2, 3], [0, 2, 0, 1, 2, 3, 0, 4], [0, 2, 0, 1, 3, 0, 3, 3], [0, 2, 0, 1, 3, 1, 1, 4], [0, 2, 0, 1, 4, 0, 0, 5], [0, 2, 0, 2, 0, 0, 8, 0], [0, 2, 0, 2, 0, 1, 6, 1], [0, 2, 0, 2, 0, 2, 4, 2], [0, 2, 0, 2, 0, 3, 2, 3], [0, 2, 0, 2, 0, 4, 0, 4], [0, 2, 0, 2, 1, 0, 5, 2], [0, 2, 0, 2, 1, 1, 3, 3], [0, 2, 0, 2, 1, 2, 1, 4], [0, 2, 0, 2, 2, 0, 2, 4], [0, 2, 0, 2, 2, 1, 0, 5], [0, 2, 0, 3, 0, 0, 4, 3], [0, 2, 0, 3, 0, 1, 2, 4], [0, 2, 0, 3, 0, 2, 0, 5], [0, 2, 0, 3, 1, 0, 1, 5], [0, 2, 0, 4, 0, 0, 0, 6], [0, 2, 1, 0, 0, 2, 7, 0], [0, 2, 1, 0, 0, 3, 5, 1], [0, 2, 1, 0, 0, 4, 3, 2], [0, 2, 1, 0, 0, 5, 1, 3], [0, 2, 1, 0, 1, 0, 8, 0], [0, 2, 1, 0, 1, 1, 6, 1], [0, 2, 1, 0, 1, 2, 4, 2], [0, 2, 1, 0, 1, 3, 2, 3], [0, 2, 1, 0, 1, 4, 0, 4], [0, 2, 1, 0, 2, 0, 5, 2], [0, 2, 1, 0, 2, 1, 3, 3], [0, 2, 1, 0, 2, 2, 1, 4], [0, 2, 1, 0, 3, 0, 2, 4], [0, 2, 1, 0, 3, 1, 0, 5], [0, 2, 1, 1, 0, 0, 7, 1], [0, 2, 1, 1, 0, 1, 5, 2], [0, 2, 1, 1, 0, 2, 3, 3], [0, 2, 1, 1, 0, 3, 1, 4], [0, 2, 1, 1, 1, 0, 4, 3], [0, 2, 1, 1, 1, 1, 2, 4], [0, 2, 1, 1, 1, 2, 0, 5], [0, 2, 1, 1, 2, 0, 1, 5], [0, 2, 1, 2, 0, 0, 3, 4], [0, 2, 1, 2, 0, 1, 1, 5], [0, 2, 1, 2, 1, 0, 0, 6], [0, 2, 2, 0, 0, 0, 6, 2], [0, 2, 2, 0, 0, 1, 4, 3], [0, 2, 2, 0, 0, 2, 2, 4], [0, 2, 2, 0, 0, 3, 0, 5], [0, 2, 2, 0, 1, 0, 3, 4], [0, 2, 2, 0, 1, 1, 1, 5], [0, 2, 2, 0, 2, 0, 0, 6], [0, 2, 2, 1, 0, 0, 2, 5], [0, 2, 2, 1, 0, 1, 0, 6], [0, 2, 3, 0, 0, 0, 1, 6], [0, 3, 0, 0, 0, 1, 8, 0], [0, 3, 0, 0, 0, 2, 6, 1], [0, 3, 0, 0, 0, 3, 4, 2], [0, 3, 0, 0, 0, 4, 2, 3], [0, 3, 0, 0, 0, 5, 0, 4], [0, 3, 0, 0, 1, 0, 7, 1], [0, 3, 0, 0, 1, 1, 5, 2], [0, 3, 0, 0, 1, 2, 3, 3], [0, 3, 0, 0, 1, 3, 1, 4], [0, 3, 0, 0, 2, 0, 4, 3], [0, 3, 0, 0, 2, 1, 2, 4], [0, 3, 0, 0, 2, 2, 0, 5], [0, 3, 0, 0, 3, 0, 1, 5], [0, 3, 0, 1, 0, 0, 6, 2], [0, 3, 0, 1, 0, 1, 4, 3], [0, 3, 0, 1, 0, 2, 2, 4], [0, 3, 0, 1, 0, 3, 0, 5], [0, 3, 0, 1, 1, 0, 3, 4], [0, 3, 0, 1, 1, 1, 1, 5], [0, 3, 0, 1, 2, 0, 0, 6], [0, 3, 0, 2, 0, 0, 2, 5], [0, 3, 0, 2, 0, 1, 0, 6], [0, 3, 1, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 2, 1, 5], [0, 3, 1, 0, 1, 0, 2, 5], [0, 3, 1, 0, 1, 1, 0, 6], [0, 3, 1, 1, 0, 0, 1, 6], [0, 3, 2, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 1, 0, 1, 6], [0, 4, 0, 1, 0, 0, 0, 7]} (8, 12, 1) has 1197 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, 0, 0, 2, 1, 5, 1, 1, 2], [0, 0, 0, 2, 1, 6, 0, 0, 3], [0, 0, 0, 2, 2, 0, 6, 2, 0], [0, 0, 0, 2, 2, 0, 7, 0, 1], [0, 0, 0, 2, 2, 1, 4, 3, 0], [0, 0, 0, 2, 2, 1, 5, 1, 1], [0, 0, 0, 2, 2, 2, 2, 4, 0], [0, 0, 0, 2, 2, 2, 3, 2, 1], [0, 0, 0, 2, 2, 2, 4, 0, 2], [0, 0, 0, 2, 2, 3, 0, 5, 0], [0, 0, 0, 2, 2, 3, 1, 3, 1], [0, 0, 0, 2, 2, 3, 2, 1, 2], [0, 0, 0, 2, 2, 4, 0, 2, 2], [0, 0, 0, 2, 2, 4, 1, 0, 3], [0, 0, 0, 2, 3, 0, 3, 4, 0], [0, 0, 0, 2, 3, 0, 4, 2, 1], [0, 0, 0, 2, 3, 0, 5, 0, 2], [0, 0, 0, 2, 3, 1, 1, 5, 0], [0, 0, 0, 2, 3, 1, 2, 3, 1], [0, 0, 0, 2, 3, 1, 3, 1, 2], [0, 0, 0, 2, 3, 2, 0, 4, 1], [0, 0, 0, 2, 3, 2, 1, 2, 2], [0, 0, 0, 2, 3, 2, 2, 0, 3], [0, 0, 0, 2, 3, 3, 0, 1, 3], [0, 0, 0, 2, 4, 0, 0, 6, 0], [0, 0, 0, 2, 4, 0, 1, 4, 1], [0, 0, 0, 2, 4, 0, 2, 2, 2], [0, 0, 0, 2, 4, 0, 3, 0, 3], [0, 0, 0, 2, 4, 1, 0, 3, 2], [0, 0, 0, 2, 4, 1, 1, 1, 3], [0, 0, 0, 2, 4, 2, 0, 0, 4], [0, 0, 0, 2, 5, 0, 0, 2, 3], [0, 0, 0, 2, 5, 0, 1, 0, 4], [0, 0, 0, 3, 0, 0, 8, 1, 0], [0, 0, 0, 3, 0, 1, 6, 2, 0], [0, 0, 0, 3, 0, 1, 7, 0, 1], [0, 0, 0, 3, 0, 2, 4, 3, 0], [0, 0, 0, 3, 0, 2, 5, 1, 1], [0, 0, 0, 3, 0, 3, 2, 4, 0], [0, 0, 0, 3, 0, 3, 3, 2, 1], [0, 0, 0, 3, 0, 3, 4, 0, 2], [0, 0, 0, 3, 0, 4, 0, 5, 0], [0, 0, 0, 3, 0, 4, 1, 3, 1], [0, 0, 0, 3, 0, 4, 2, 1, 2], [0, 0, 0, 3, 0, 5, 0, 2, 2], [0, 0, 0, 3, 0, 5, 1, 0, 3], [0, 0, 0, 3, 1, 0, 5, 3, 0], [0, 0, 0, 3, 1, 0, 6, 1, 1], [0, 0, 0, 3, 1, 1, 3, 4, 0], [0, 0, 0, 3, 1, 1, 4, 2, 1], [0, 0, 0, 3, 1, 1, 5, 0, 2], [0, 0, 0, 3, 1, 2, 1, 5, 0], [0, 0, 0, 3, 1, 2, 2, 3, 1], [0, 0, 0, 3, 1, 2, 3, 1, 2], [0, 0, 0, 3, 1, 3, 0, 4, 1], [0, 0, 0, 3, 1, 3, 1, 2, 2], [0, 0, 0, 3, 1, 3, 2, 0, 3], [0, 0, 0, 3, 1, 4, 0, 1, 3], [0, 0, 0, 3, 2, 0, 2, 5, 0], [0, 0, 0, 3, 2, 0, 3, 3, 1], [0, 0, 0, 3, 2, 0, 4, 1, 2], [0, 0, 0, 3, 2, 1, 0, 6, 0], [0, 0, 0, 3, 2, 1, 1, 4, 1], [0, 0, 0, 3, 2, 1, 2, 2, 2], [0, 0, 0, 3, 2, 1, 3, 0, 3], [0, 0, 0, 3, 2, 2, 0, 3, 2], [0, 0, 0, 3, 2, 2, 1, 1, 3], [0, 0, 0, 3, 2, 3, 0, 0, 4], [0, 0, 0, 3, 3, 0, 0, 5, 1], [0, 0, 0, 3, 3, 0, 1, 3, 2], [0, 0, 0, 3, 3, 0, 2, 1, 3], [0, 0, 0, 3, 3, 1, 0, 2, 3], [0, 0, 0, 3, 3, 1, 1, 0, 4], [0, 0, 0, 3, 4, 0, 0, 1, 4], [0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 0, 4, 0, 0, 5, 2, 1], [0, 0, 0, 4, 0, 0, 6, 0, 2], [0, 0, 0, 4, 0, 1, 2, 5, 0], [0, 0, 0, 4, 0, 1, 3, 3, 1], [0, 0, 0, 4, 0, 1, 4, 1, 2], [0, 0, 0, 4, 0, 2, 0, 6, 0], [0, 0, 0, 4, 0, 2, 1, 4, 1], [0, 0, 0, 4, 0, 2, 2, 2, 2], [0, 0, 0, 4, 0, 2, 3, 0, 3], [0, 0, 0, 4, 0, 3, 0, 3, 2], [0, 0, 0, 4, 0, 3, 1, 1, 3], [0, 0, 0, 4, 0, 4, 0, 0, 4], [0, 0, 0, 4, 1, 0, 1, 6, 0], [0, 0, 0, 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3, 0, 0, 0, 1, 5, 2], [0, 1, 3, 0, 0, 0, 2, 3, 3], [0, 1, 3, 0, 0, 0, 3, 1, 4], [0, 1, 3, 0, 0, 1, 0, 4, 3], [0, 1, 3, 0, 0, 1, 1, 2, 4], [0, 1, 3, 0, 0, 1, 2, 0, 5], [0, 1, 3, 0, 0, 2, 0, 1, 5], [0, 1, 3, 0, 1, 0, 0, 3, 4], [0, 1, 3, 0, 1, 0, 1, 1, 5], [0, 1, 3, 0, 1, 1, 0, 0, 6], [0, 1, 3, 1, 0, 0, 0, 2, 5], [0, 1, 3, 1, 0, 0, 1, 0, 6], [0, 1, 4, 0, 0, 0, 0, 1, 6], [0, 2, 0, 0, 0, 0, 8, 2, 0], [0, 2, 0, 0, 0, 0, 9, 0, 1], [0, 2, 0, 0, 0, 1, 6, 3, 0], [0, 2, 0, 0, 0, 1, 7, 1, 1], [0, 2, 0, 0, 0, 2, 4, 4, 0], [0, 2, 0, 0, 0, 2, 5, 2, 1], [0, 2, 0, 0, 0, 2, 6, 0, 2], [0, 2, 0, 0, 0, 3, 2, 5, 0], [0, 2, 0, 0, 0, 3, 3, 3, 1], [0, 2, 0, 0, 0, 3, 4, 1, 2], [0, 2, 0, 0, 0, 4, 0, 6, 0], [0, 2, 0, 0, 0, 4, 1, 4, 1], [0, 2, 0, 0, 0, 4, 2, 2, 2], [0, 2, 0, 0, 0, 4, 3, 0, 3], [0, 2, 0, 0, 0, 5, 0, 3, 2], [0, 2, 0, 0, 0, 5, 1, 1, 3], [0, 2, 0, 0, 0, 6, 0, 0, 4], [0, 2, 0, 0, 1, 0, 5, 4, 0], [0, 2, 0, 0, 1, 0, 6, 2, 1], [0, 2, 0, 0, 1, 0, 7, 0, 2], [0, 2, 0, 0, 1, 1, 3, 5, 0], [0, 2, 0, 0, 1, 1, 4, 3, 1], [0, 2, 0, 0, 1, 1, 5, 1, 2], [0, 2, 0, 0, 1, 2, 1, 6, 0], [0, 2, 0, 0, 1, 2, 2, 4, 1], [0, 2, 0, 0, 1, 2, 3, 2, 2], [0, 2, 0, 0, 1, 2, 4, 0, 3], [0, 2, 0, 0, 1, 3, 0, 5, 1], [0, 2, 0, 0, 1, 3, 1, 3, 2], [0, 2, 0, 0, 1, 3, 2, 1, 3], [0, 2, 0, 0, 1, 4, 0, 2, 3], [0, 2, 0, 0, 1, 4, 1, 0, 4], [0, 2, 0, 0, 2, 0, 2, 6, 0], [0, 2, 0, 0, 2, 0, 3, 4, 1], [0, 2, 0, 0, 2, 0, 4, 2, 2], [0, 2, 0, 0, 2, 0, 5, 0, 3], [0, 2, 0, 0, 2, 1, 0, 7, 0], [0, 2, 0, 0, 2, 1, 1, 5, 1], [0, 2, 0, 0, 2, 1, 2, 3, 2], [0, 2, 0, 0, 2, 1, 3, 1, 3], [0, 2, 0, 0, 2, 2, 0, 4, 2], [0, 2, 0, 0, 2, 2, 1, 2, 3], [0, 2, 0, 0, 2, 2, 2, 0, 4], [0, 2, 0, 0, 2, 3, 0, 1, 4], [0, 2, 0, 0, 3, 0, 0, 6, 1], [0, 2, 0, 0, 3, 0, 1, 4, 2], [0, 2, 0, 0, 3, 0, 2, 2, 3], [0, 2, 0, 0, 3, 0, 3, 0, 4], [0, 2, 0, 0, 3, 1, 0, 3, 3], [0, 2, 0, 0, 3, 1, 1, 1, 4], [0, 2, 0, 0, 3, 2, 0, 0, 5], [0, 2, 0, 0, 4, 0, 0, 2, 4], [0, 2, 0, 0, 4, 0, 1, 0, 5], [0, 2, 0, 1, 0, 0, 4, 5, 0], [0, 2, 0, 1, 0, 0, 5, 3, 1], [0, 2, 0, 1, 0, 0, 6, 1, 2], [0, 2, 0, 1, 0, 1, 2, 6, 0], [0, 2, 0, 1, 0, 1, 3, 4, 1], [0, 2, 0, 1, 0, 1, 4, 2, 2], [0, 2, 0, 1, 0, 1, 5, 0, 3], [0, 2, 0, 1, 0, 2, 0, 7, 0], [0, 2, 0, 1, 0, 2, 1, 5, 1], [0, 2, 0, 1, 0, 2, 2, 3, 2], [0, 2, 0, 1, 0, 2, 3, 1, 3], [0, 2, 0, 1, 0, 3, 0, 4, 2], [0, 2, 0, 1, 0, 3, 1, 2, 3], [0, 2, 0, 1, 0, 3, 2, 0, 4], [0, 2, 0, 1, 0, 4, 0, 1, 4], [0, 2, 0, 1, 1, 0, 1, 7, 0], [0, 2, 0, 1, 1, 0, 2, 5, 1], [0, 2, 0, 1, 1, 0, 3, 3, 2], [0, 2, 0, 1, 1, 0, 4, 1, 3], [0, 2, 0, 1, 1, 1, 0, 6, 1], [0, 2, 0, 1, 1, 1, 1, 4, 2], [0, 2, 0, 1, 1, 1, 2, 2, 3], [0, 2, 0, 1, 1, 1, 3, 0, 4], [0, 2, 0, 1, 1, 2, 0, 3, 3], [0, 2, 0, 1, 1, 2, 1, 1, 4], [0, 2, 0, 1, 1, 3, 0, 0, 5], [0, 2, 0, 1, 2, 0, 0, 5, 2], [0, 2, 0, 1, 2, 0, 1, 3, 3], [0, 2, 0, 1, 2, 0, 2, 1, 4], [0, 2, 0, 1, 2, 1, 0, 2, 4], [0, 2, 0, 1, 2, 1, 1, 0, 5], [0, 2, 0, 1, 3, 0, 0, 1, 5], [0, 2, 0, 2, 0, 0, 0, 8, 0], [0, 2, 0, 2, 0, 0, 1, 6, 1], [0, 2, 0, 2, 0, 0, 2, 4, 2], [0, 2, 0, 2, 0, 0, 3, 2, 3], [0, 2, 0, 2, 0, 0, 4, 0, 4], [0, 2, 0, 2, 0, 1, 0, 5, 2], [0, 2, 0, 2, 0, 1, 1, 3, 3], [0, 2, 0, 2, 0, 1, 2, 1, 4], [0, 2, 0, 2, 0, 2, 0, 2, 4], [0, 2, 0, 2, 0, 2, 1, 0, 5], [0, 2, 0, 2, 1, 0, 0, 4, 3], [0, 2, 0, 2, 1, 0, 1, 2, 4], [0, 2, 0, 2, 1, 0, 2, 0, 5], [0, 2, 0, 2, 1, 1, 0, 1, 5], [0, 2, 0, 2, 2, 0, 0, 0, 6], [0, 2, 0, 3, 0, 0, 0, 3, 4], [0, 2, 0, 3, 0, 0, 1, 1, 5], [0, 2, 0, 3, 0, 1, 0, 0, 6], [0, 2, 1, 0, 0, 0, 3, 6, 0], [0, 2, 1, 0, 0, 0, 4, 4, 1], [0, 2, 1, 0, 0, 0, 5, 2, 2], [0, 2, 1, 0, 0, 0, 6, 0, 3], [0, 2, 1, 0, 0, 1, 1, 7, 0], [0, 2, 1, 0, 0, 1, 2, 5, 1], [0, 2, 1, 0, 0, 1, 3, 3, 2], [0, 2, 1, 0, 0, 1, 4, 1, 3], [0, 2, 1, 0, 0, 2, 0, 6, 1], [0, 2, 1, 0, 0, 2, 1, 4, 2], [0, 2, 1, 0, 0, 2, 2, 2, 3], [0, 2, 1, 0, 0, 2, 3, 0, 4], [0, 2, 1, 0, 0, 3, 0, 3, 3], [0, 2, 1, 0, 0, 3, 1, 1, 4], [0, 2, 1, 0, 0, 4, 0, 0, 5], [0, 2, 1, 0, 1, 0, 0, 8, 0], [0, 2, 1, 0, 1, 0, 1, 6, 1], [0, 2, 1, 0, 1, 0, 2, 4, 2], [0, 2, 1, 0, 1, 0, 3, 2, 3], [0, 2, 1, 0, 1, 0, 4, 0, 4], [0, 2, 1, 0, 1, 1, 0, 5, 2], [0, 2, 1, 0, 1, 1, 1, 3, 3], [0, 2, 1, 0, 1, 1, 2, 1, 4], [0, 2, 1, 0, 1, 2, 0, 2, 4], [0, 2, 1, 0, 1, 2, 1, 0, 5], [0, 2, 1, 0, 2, 0, 0, 4, 3], [0, 2, 1, 0, 2, 0, 1, 2, 4], [0, 2, 1, 0, 2, 0, 2, 0, 5], [0, 2, 1, 0, 2, 1, 0, 1, 5], [0, 2, 1, 0, 3, 0, 0, 0, 6], [0, 2, 1, 1, 0, 0, 0, 7, 1], [0, 2, 1, 1, 0, 0, 1, 5, 2], [0, 2, 1, 1, 0, 0, 2, 3, 3], [0, 2, 1, 1, 0, 0, 3, 1, 4], [0, 2, 1, 1, 0, 1, 0, 4, 3], [0, 2, 1, 1, 0, 1, 1, 2, 4], [0, 2, 1, 1, 0, 1, 2, 0, 5], [0, 2, 1, 1, 0, 2, 0, 1, 5], [0, 2, 1, 1, 1, 0, 0, 3, 4], [0, 2, 1, 1, 1, 0, 1, 1, 5], [0, 2, 1, 1, 1, 1, 0, 0, 6], [0, 2, 1, 2, 0, 0, 0, 2, 5], [0, 2, 1, 2, 0, 0, 1, 0, 6], [0, 2, 2, 0, 0, 0, 0, 6, 2], [0, 2, 2, 0, 0, 0, 1, 4, 3], [0, 2, 2, 0, 0, 0, 2, 2, 4], [0, 2, 2, 0, 0, 0, 3, 0, 5], [0, 2, 2, 0, 0, 1, 0, 3, 4], [0, 2, 2, 0, 0, 1, 1, 1, 5], [0, 2, 2, 0, 0, 2, 0, 0, 6], [0, 2, 2, 0, 1, 0, 0, 2, 5], [0, 2, 2, 0, 1, 0, 1, 0, 6], [0, 2, 2, 1, 0, 0, 0, 1, 6], [0, 2, 3, 0, 0, 0, 0, 0, 7], [0, 3, 0, 0, 0, 0, 2, 7, 0], [0, 3, 0, 0, 0, 0, 3, 5, 1], [0, 3, 0, 0, 0, 0, 4, 3, 2], [0, 3, 0, 0, 0, 0, 5, 1, 3], [0, 3, 0, 0, 0, 1, 0, 8, 0], [0, 3, 0, 0, 0, 1, 1, 6, 1], [0, 3, 0, 0, 0, 1, 2, 4, 2], [0, 3, 0, 0, 0, 1, 3, 2, 3], [0, 3, 0, 0, 0, 1, 4, 0, 4], [0, 3, 0, 0, 0, 2, 0, 5, 2], [0, 3, 0, 0, 0, 2, 1, 3, 3], [0, 3, 0, 0, 0, 2, 2, 1, 4], [0, 3, 0, 0, 0, 3, 0, 2, 4], [0, 3, 0, 0, 0, 3, 1, 0, 5], [0, 3, 0, 0, 1, 0, 0, 7, 1], [0, 3, 0, 0, 1, 0, 1, 5, 2], [0, 3, 0, 0, 1, 0, 2, 3, 3], [0, 3, 0, 0, 1, 0, 3, 1, 4], [0, 3, 0, 0, 1, 1, 0, 4, 3], [0, 3, 0, 0, 1, 1, 1, 2, 4], [0, 3, 0, 0, 1, 1, 2, 0, 5], [0, 3, 0, 0, 1, 2, 0, 1, 5], [0, 3, 0, 0, 2, 0, 0, 3, 4], [0, 3, 0, 0, 2, 0, 1, 1, 5], [0, 3, 0, 0, 2, 1, 0, 0, 6], [0, 3, 0, 1, 0, 0, 0, 6, 2], [0, 3, 0, 1, 0, 0, 1, 4, 3], [0, 3, 0, 1, 0, 0, 2, 2, 4], [0, 3, 0, 1, 0, 0, 3, 0, 5], [0, 3, 0, 1, 0, 1, 0, 3, 4], [0, 3, 0, 1, 0, 1, 1, 1, 5], [0, 3, 0, 1, 0, 2, 0, 0, 6], [0, 3, 0, 1, 1, 0, 0, 2, 5], [0, 3, 0, 1, 1, 0, 1, 0, 6], [0, 3, 0, 2, 0, 0, 0, 1, 6], [0, 3, 1, 0, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 0, 2, 1, 5], [0, 3, 1, 0, 0, 1, 0, 2, 5], [0, 3, 1, 0, 0, 1, 1, 0, 6], [0, 3, 1, 0, 1, 0, 0, 1, 6], [0, 3, 1, 1, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 0, 1, 0, 1, 6], [0, 4, 0, 0, 1, 0, 0, 0, 7]} (9, 12, 1) has 2557 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, 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1, 2, 0, 3, 1, 3], [0, 2, 0, 0, 1, 2, 1, 0, 4, 2], [0, 2, 0, 0, 1, 2, 1, 1, 2, 3], [0, 2, 0, 0, 1, 2, 1, 2, 0, 4], [0, 2, 0, 0, 1, 2, 2, 0, 1, 4], [0, 2, 0, 0, 1, 3, 0, 0, 3, 3], [0, 2, 0, 0, 1, 3, 0, 1, 1, 4], [0, 2, 0, 0, 1, 3, 1, 0, 0, 5], [0, 2, 0, 0, 2, 0, 0, 2, 6, 0], [0, 2, 0, 0, 2, 0, 0, 3, 4, 1], [0, 2, 0, 0, 2, 0, 0, 4, 2, 2], [0, 2, 0, 0, 2, 0, 0, 5, 0, 3], [0, 2, 0, 0, 2, 0, 1, 0, 7, 0], [0, 2, 0, 0, 2, 0, 1, 1, 5, 1], [0, 2, 0, 0, 2, 0, 1, 2, 3, 2], [0, 2, 0, 0, 2, 0, 1, 3, 1, 3], [0, 2, 0, 0, 2, 0, 2, 0, 4, 2], [0, 2, 0, 0, 2, 0, 2, 1, 2, 3], [0, 2, 0, 0, 2, 0, 2, 2, 0, 4], [0, 2, 0, 0, 2, 0, 3, 0, 1, 4], [0, 2, 0, 0, 2, 1, 0, 0, 6, 1], [0, 2, 0, 0, 2, 1, 0, 1, 4, 2], [0, 2, 0, 0, 2, 1, 0, 2, 2, 3], [0, 2, 0, 0, 2, 1, 0, 3, 0, 4], [0, 2, 0, 0, 2, 1, 1, 0, 3, 3], [0, 2, 0, 0, 2, 1, 1, 1, 1, 4], [0, 2, 0, 0, 2, 1, 2, 0, 0, 5], [0, 2, 0, 0, 2, 2, 0, 0, 2, 4], [0, 2, 0, 0, 2, 2, 0, 1, 0, 5], [0, 2, 0, 0, 3, 0, 0, 0, 5, 2], [0, 2, 0, 0, 3, 0, 0, 1, 3, 3], [0, 2, 0, 0, 3, 0, 0, 2, 1, 4], [0, 2, 0, 0, 3, 0, 1, 0, 2, 4], [0, 2, 0, 0, 3, 0, 1, 1, 0, 5], [0, 2, 0, 0, 3, 1, 0, 0, 1, 5], [0, 2, 0, 0, 4, 0, 0, 0, 0, 6], [0, 2, 0, 1, 0, 0, 0, 5, 4, 0], [0, 2, 0, 1, 0, 0, 0, 6, 2, 1], [0, 2, 0, 1, 0, 0, 0, 7, 0, 2], [0, 2, 0, 1, 0, 0, 1, 3, 5, 0], [0, 2, 0, 1, 0, 0, 1, 4, 3, 1], [0, 2, 0, 1, 0, 0, 1, 5, 1, 2], [0, 2, 0, 1, 0, 0, 2, 1, 6, 0], [0, 2, 0, 1, 0, 0, 2, 2, 4, 1], [0, 2, 0, 1, 0, 0, 2, 3, 2, 2], [0, 2, 0, 1, 0, 0, 2, 4, 0, 3], [0, 2, 0, 1, 0, 0, 3, 0, 5, 1], [0, 2, 0, 1, 0, 0, 3, 1, 3, 2], [0, 2, 0, 1, 0, 0, 3, 2, 1, 3], [0, 2, 0, 1, 0, 0, 4, 0, 2, 3], [0, 2, 0, 1, 0, 0, 4, 1, 0, 4], [0, 2, 0, 1, 0, 1, 0, 2, 6, 0], [0, 2, 0, 1, 0, 1, 0, 3, 4, 1], [0, 2, 0, 1, 0, 1, 0, 4, 2, 2], [0, 2, 0, 1, 0, 1, 0, 5, 0, 3], [0, 2, 0, 1, 0, 1, 1, 0, 7, 0], [0, 2, 0, 1, 0, 1, 1, 1, 5, 1], [0, 2, 0, 1, 0, 1, 1, 2, 3, 2], [0, 2, 0, 1, 0, 1, 1, 3, 1, 3], [0, 2, 0, 1, 0, 1, 2, 0, 4, 2], [0, 2, 0, 1, 0, 1, 2, 1, 2, 3], [0, 2, 0, 1, 0, 1, 2, 2, 0, 4], [0, 2, 0, 1, 0, 1, 3, 0, 1, 4], [0, 2, 0, 1, 0, 2, 0, 0, 6, 1], [0, 2, 0, 1, 0, 2, 0, 1, 4, 2], [0, 2, 0, 1, 0, 2, 0, 2, 2, 3], [0, 2, 0, 1, 0, 2, 0, 3, 0, 4], [0, 2, 0, 1, 0, 2, 1, 0, 3, 3], [0, 2, 0, 1, 0, 2, 1, 1, 1, 4], [0, 2, 0, 1, 0, 2, 2, 0, 0, 5], [0, 2, 0, 1, 0, 3, 0, 0, 2, 4], [0, 2, 0, 1, 0, 3, 0, 1, 0, 5], [0, 2, 0, 1, 1, 0, 0, 1, 7, 0], [0, 2, 0, 1, 1, 0, 0, 2, 5, 1], [0, 2, 0, 1, 1, 0, 0, 3, 3, 2], [0, 2, 0, 1, 1, 0, 0, 4, 1, 3], [0, 2, 0, 1, 1, 0, 1, 0, 6, 1], [0, 2, 0, 1, 1, 0, 1, 1, 4, 2], [0, 2, 0, 1, 1, 0, 1, 2, 2, 3], [0, 2, 0, 1, 1, 0, 1, 3, 0, 4], [0, 2, 0, 1, 1, 0, 2, 0, 3, 3], [0, 2, 0, 1, 1, 0, 2, 1, 1, 4], [0, 2, 0, 1, 1, 0, 3, 0, 0, 5], [0, 2, 0, 1, 1, 1, 0, 0, 5, 2], [0, 2, 0, 1, 1, 1, 0, 1, 3, 3], [0, 2, 0, 1, 1, 1, 0, 2, 1, 4], [0, 2, 0, 1, 1, 1, 1, 0, 2, 4], [0, 2, 0, 1, 1, 1, 1, 1, 0, 5], [0, 2, 0, 1, 1, 2, 0, 0, 1, 5], [0, 2, 0, 1, 2, 0, 0, 0, 4, 3], [0, 2, 0, 1, 2, 0, 0, 1, 2, 4], [0, 2, 0, 1, 2, 0, 0, 2, 0, 5], [0, 2, 0, 1, 2, 0, 1, 0, 1, 5], [0, 2, 0, 1, 2, 1, 0, 0, 0, 6], [0, 2, 0, 2, 0, 0, 0, 0, 8, 0], [0, 2, 0, 2, 0, 0, 0, 1, 6, 1], [0, 2, 0, 2, 0, 0, 0, 2, 4, 2], [0, 2, 0, 2, 0, 0, 0, 3, 2, 3], [0, 2, 0, 2, 0, 0, 0, 4, 0, 4], [0, 2, 0, 2, 0, 0, 1, 0, 5, 2], [0, 2, 0, 2, 0, 0, 1, 1, 3, 3], [0, 2, 0, 2, 0, 0, 1, 2, 1, 4], [0, 2, 0, 2, 0, 0, 2, 0, 2, 4], [0, 2, 0, 2, 0, 0, 2, 1, 0, 5], [0, 2, 0, 2, 0, 1, 0, 0, 4, 3], [0, 2, 0, 2, 0, 1, 0, 1, 2, 4], [0, 2, 0, 2, 0, 1, 0, 2, 0, 5], [0, 2, 0, 2, 0, 1, 1, 0, 1, 5], [0, 2, 0, 2, 0, 2, 0, 0, 0, 6], [0, 2, 0, 2, 1, 0, 0, 0, 3, 4], [0, 2, 0, 2, 1, 0, 0, 1, 1, 5], [0, 2, 0, 2, 1, 0, 1, 0, 0, 6], [0, 2, 0, 3, 0, 0, 0, 0, 2, 5], [0, 2, 0, 3, 0, 0, 0, 1, 0, 6], [0, 2, 1, 0, 0, 0, 0, 4, 5, 0], [0, 2, 1, 0, 0, 0, 0, 5, 3, 1], [0, 2, 1, 0, 0, 0, 0, 6, 1, 2], [0, 2, 1, 0, 0, 0, 1, 2, 6, 0], [0, 2, 1, 0, 0, 0, 1, 3, 4, 1], [0, 2, 1, 0, 0, 0, 1, 4, 2, 2], [0, 2, 1, 0, 0, 0, 1, 5, 0, 3], [0, 2, 1, 0, 0, 0, 2, 0, 7, 0], [0, 2, 1, 0, 0, 0, 2, 1, 5, 1], [0, 2, 1, 0, 0, 0, 2, 2, 3, 2], [0, 2, 1, 0, 0, 0, 2, 3, 1, 3], [0, 2, 1, 0, 0, 0, 3, 0, 4, 2], [0, 2, 1, 0, 0, 0, 3, 1, 2, 3], [0, 2, 1, 0, 0, 0, 3, 2, 0, 4], [0, 2, 1, 0, 0, 0, 4, 0, 1, 4], [0, 2, 1, 0, 0, 1, 0, 1, 7, 0], [0, 2, 1, 0, 0, 1, 0, 2, 5, 1], [0, 2, 1, 0, 0, 1, 0, 3, 3, 2], [0, 2, 1, 0, 0, 1, 0, 4, 1, 3], [0, 2, 1, 0, 0, 1, 1, 0, 6, 1], [0, 2, 1, 0, 0, 1, 1, 1, 4, 2], [0, 2, 1, 0, 0, 1, 1, 2, 2, 3], [0, 2, 1, 0, 0, 1, 1, 3, 0, 4], [0, 2, 1, 0, 0, 1, 2, 0, 3, 3], [0, 2, 1, 0, 0, 1, 2, 1, 1, 4], [0, 2, 1, 0, 0, 1, 3, 0, 0, 5], [0, 2, 1, 0, 0, 2, 0, 0, 5, 2], [0, 2, 1, 0, 0, 2, 0, 1, 3, 3], [0, 2, 1, 0, 0, 2, 0, 2, 1, 4], [0, 2, 1, 0, 0, 2, 1, 0, 2, 4], [0, 2, 1, 0, 0, 2, 1, 1, 0, 5], [0, 2, 1, 0, 0, 3, 0, 0, 1, 5], [0, 2, 1, 0, 1, 0, 0, 0, 8, 0], [0, 2, 1, 0, 1, 0, 0, 1, 6, 1], [0, 2, 1, 0, 1, 0, 0, 2, 4, 2], [0, 2, 1, 0, 1, 0, 0, 3, 2, 3], [0, 2, 1, 0, 1, 0, 0, 4, 0, 4], [0, 2, 1, 0, 1, 0, 1, 0, 5, 2], [0, 2, 1, 0, 1, 0, 1, 1, 3, 3], [0, 2, 1, 0, 1, 0, 1, 2, 1, 4], [0, 2, 1, 0, 1, 0, 2, 0, 2, 4], [0, 2, 1, 0, 1, 0, 2, 1, 0, 5], [0, 2, 1, 0, 1, 1, 0, 0, 4, 3], [0, 2, 1, 0, 1, 1, 0, 1, 2, 4], [0, 2, 1, 0, 1, 1, 0, 2, 0, 5], [0, 2, 1, 0, 1, 1, 1, 0, 1, 5], [0, 2, 1, 0, 1, 2, 0, 0, 0, 6], [0, 2, 1, 0, 2, 0, 0, 0, 3, 4], [0, 2, 1, 0, 2, 0, 0, 1, 1, 5], [0, 2, 1, 0, 2, 0, 1, 0, 0, 6], [0, 2, 1, 1, 0, 0, 0, 0, 7, 1], [0, 2, 1, 1, 0, 0, 0, 1, 5, 2], [0, 2, 1, 1, 0, 0, 0, 2, 3, 3], [0, 2, 1, 1, 0, 0, 0, 3, 1, 4], [0, 2, 1, 1, 0, 0, 1, 0, 4, 3], [0, 2, 1, 1, 0, 0, 1, 1, 2, 4], [0, 2, 1, 1, 0, 0, 1, 2, 0, 5], [0, 2, 1, 1, 0, 0, 2, 0, 1, 5], [0, 2, 1, 1, 0, 1, 0, 0, 3, 4], [0, 2, 1, 1, 0, 1, 0, 1, 1, 5], [0, 2, 1, 1, 0, 1, 1, 0, 0, 6], [0, 2, 1, 1, 1, 0, 0, 0, 2, 5], [0, 2, 1, 1, 1, 0, 0, 1, 0, 6], [0, 2, 1, 2, 0, 0, 0, 0, 1, 6], [0, 2, 2, 0, 0, 0, 0, 0, 6, 2], [0, 2, 2, 0, 0, 0, 0, 1, 4, 3], [0, 2, 2, 0, 0, 0, 0, 2, 2, 4], [0, 2, 2, 0, 0, 0, 0, 3, 0, 5], [0, 2, 2, 0, 0, 0, 1, 0, 3, 4], [0, 2, 2, 0, 0, 0, 1, 1, 1, 5], [0, 2, 2, 0, 0, 0, 2, 0, 0, 6], [0, 2, 2, 0, 0, 1, 0, 0, 2, 5], [0, 2, 2, 0, 0, 1, 0, 1, 0, 6], [0, 2, 2, 0, 1, 0, 0, 0, 1, 6], [0, 2, 2, 1, 0, 0, 0, 0, 0, 7], [0, 3, 0, 0, 0, 0, 0, 3, 6, 0], [0, 3, 0, 0, 0, 0, 0, 4, 4, 1], [0, 3, 0, 0, 0, 0, 0, 5, 2, 2], [0, 3, 0, 0, 0, 0, 0, 6, 0, 3], [0, 3, 0, 0, 0, 0, 1, 1, 7, 0], [0, 3, 0, 0, 0, 0, 1, 2, 5, 1], [0, 3, 0, 0, 0, 0, 1, 3, 3, 2], [0, 3, 0, 0, 0, 0, 1, 4, 1, 3], [0, 3, 0, 0, 0, 0, 2, 0, 6, 1], [0, 3, 0, 0, 0, 0, 2, 1, 4, 2], [0, 3, 0, 0, 0, 0, 2, 2, 2, 3], [0, 3, 0, 0, 0, 0, 2, 3, 0, 4], [0, 3, 0, 0, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 1, 1, 4], [0, 3, 0, 0, 0, 0, 4, 0, 0, 5], [0, 3, 0, 0, 0, 1, 0, 0, 8, 0], [0, 3, 0, 0, 0, 1, 0, 1, 6, 1], [0, 3, 0, 0, 0, 1, 0, 2, 4, 2], [0, 3, 0, 0, 0, 1, 0, 3, 2, 3], [0, 3, 0, 0, 0, 1, 0, 4, 0, 4], [0, 3, 0, 0, 0, 1, 1, 0, 5, 2], [0, 3, 0, 0, 0, 1, 1, 1, 3, 3], [0, 3, 0, 0, 0, 1, 1, 2, 1, 4], [0, 3, 0, 0, 0, 1, 2, 0, 2, 4], [0, 3, 0, 0, 0, 1, 2, 1, 0, 5], [0, 3, 0, 0, 0, 2, 0, 0, 4, 3], [0, 3, 0, 0, 0, 2, 0, 1, 2, 4], [0, 3, 0, 0, 0, 2, 0, 2, 0, 5], [0, 3, 0, 0, 0, 2, 1, 0, 1, 5], [0, 3, 0, 0, 0, 3, 0, 0, 0, 6], [0, 3, 0, 0, 1, 0, 0, 0, 7, 1], [0, 3, 0, 0, 1, 0, 0, 1, 5, 2], [0, 3, 0, 0, 1, 0, 0, 2, 3, 3], [0, 3, 0, 0, 1, 0, 0, 3, 1, 4], [0, 3, 0, 0, 1, 0, 1, 0, 4, 3], [0, 3, 0, 0, 1, 0, 1, 1, 2, 4], [0, 3, 0, 0, 1, 0, 1, 2, 0, 5], [0, 3, 0, 0, 1, 0, 2, 0, 1, 5], [0, 3, 0, 0, 1, 1, 0, 0, 3, 4], [0, 3, 0, 0, 1, 1, 0, 1, 1, 5], [0, 3, 0, 0, 1, 1, 1, 0, 0, 6], [0, 3, 0, 0, 2, 0, 0, 0, 2, 5], [0, 3, 0, 0, 2, 0, 0, 1, 0, 6], [0, 3, 0, 1, 0, 0, 0, 0, 6, 2], [0, 3, 0, 1, 0, 0, 0, 1, 4, 3], [0, 3, 0, 1, 0, 0, 0, 2, 2, 4], [0, 3, 0, 1, 0, 0, 0, 3, 0, 5], [0, 3, 0, 1, 0, 0, 1, 0, 3, 4], [0, 3, 0, 1, 0, 0, 1, 1, 1, 5], [0, 3, 0, 1, 0, 0, 2, 0, 0, 6], [0, 3, 0, 1, 0, 1, 0, 0, 2, 5], [0, 3, 0, 1, 0, 1, 0, 1, 0, 6], [0, 3, 0, 1, 1, 0, 0, 0, 1, 6], [0, 3, 0, 2, 0, 0, 0, 0, 0, 7], [0, 3, 1, 0, 0, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 0, 0, 2, 1, 5], [0, 3, 1, 0, 0, 0, 1, 0, 2, 5], [0, 3, 1, 0, 0, 0, 1, 1, 0, 6], [0, 3, 1, 0, 0, 1, 0, 0, 1, 6], [0, 3, 1, 0, 1, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 0, 0, 1, 0, 1, 6], [0, 4, 0, 0, 0, 1, 0, 0, 0, 7]} (10, 12, 1) has 5155 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, 2, 5, 0, 1, 2, 1], [0, 0, 0, 0, 1, 2, 5, 0, 2, 0, 2], [0, 0, 0, 0, 1, 2, 5, 1, 0, 1, 2], [0, 0, 0, 0, 1, 2, 6, 0, 0, 0, 3], [0, 0, 0, 0, 1, 3, 0, 3, 5, 0, 0], [0, 0, 0, 0, 1, 3, 0, 4, 3, 1, 0], [0, 0, 0, 0, 1, 3, 0, 5, 1, 2, 0], [0, 0, 0, 0, 1, 3, 0, 5, 2, 0, 1], [0, 0, 0, 0, 1, 3, 0, 6, 0, 1, 1], [0, 0, 0, 0, 1, 3, 1, 1, 6, 0, 0], [0, 0, 0, 0, 1, 3, 1, 2, 4, 1, 0], [0, 0, 0, 0, 1, 3, 1, 3, 2, 2, 0], [0, 0, 0, 0, 1, 3, 1, 3, 3, 0, 1], [0, 0, 0, 0, 1, 3, 1, 4, 0, 3, 0], [0, 0, 0, 0, 1, 3, 1, 4, 1, 1, 1], [0, 0, 0, 0, 1, 3, 1, 5, 0, 0, 2], [0, 0, 0, 0, 1, 3, 2, 0, 5, 1, 0], [0, 0, 0, 0, 1, 3, 2, 1, 3, 2, 0], [0, 0, 0, 0, 1, 3, 2, 1, 4, 0, 1], [0, 0, 0, 0, 1, 3, 2, 2, 1, 3, 0], [0, 0, 0, 0, 1, 3, 2, 2, 2, 1, 1], [0, 0, 0, 0, 1, 3, 2, 3, 0, 2, 1], [0, 0, 0, 0, 1, 3, 2, 3, 1, 0, 2], [0, 0, 0, 0, 1, 3, 3, 0, 2, 3, 0], [0, 0, 0, 0, 1, 3, 3, 0, 3, 1, 1], [0, 0, 0, 0, 1, 3, 3, 1, 0, 4, 0], [0, 0, 0, 0, 1, 3, 3, 1, 1, 2, 1], [0, 0, 0, 0, 1, 3, 3, 1, 2, 0, 2], [0, 0, 0, 0, 1, 3, 3, 2, 0, 1, 2], [0, 0, 0, 0, 1, 3, 4, 0, 0, 3, 1], [0, 0, 0, 0, 1, 3, 4, 0, 1, 1, 2], [0, 0, 0, 0, 1, 3, 4, 1, 0, 0, 3], [0, 0, 0, 0, 1, 4, 0, 0, 7, 0, 0], [0, 0, 0, 0, 1, 4, 0, 1, 5, 1, 0], [0, 0, 0, 0, 1, 4, 0, 2, 3, 2, 0], [0, 0, 0, 0, 1, 4, 0, 2, 4, 0, 1], [0, 0, 0, 0, 1, 4, 0, 3, 1, 3, 0], [0, 0, 0, 0, 1, 4, 0, 3, 2, 1, 1], [0, 0, 0, 0, 1, 4, 0, 4, 0, 2, 1], [0, 0, 0, 0, 1, 4, 0, 4, 1, 0, 2], [0, 0, 0, 0, 1, 4, 1, 0, 4, 2, 0], [0, 0, 0, 0, 1, 4, 1, 0, 5, 0, 1], [0, 0, 0, 0, 1, 4, 1, 1, 2, 3, 0], [0, 0, 0, 0, 1, 4, 1, 1, 3, 1, 1], [0, 0, 0, 0, 1, 4, 1, 2, 0, 4, 0], [0, 0, 0, 0, 1, 4, 1, 2, 1, 2, 1], [0, 0, 0, 0, 1, 4, 1, 2, 2, 0, 2], [0, 0, 0, 0, 1, 4, 1, 3, 0, 1, 2], [0, 0, 0, 0, 1, 4, 2, 0, 1, 4, 0], [0, 0, 0, 0, 1, 4, 2, 0, 2, 2, 1], [0, 0, 0, 0, 1, 4, 2, 0, 3, 0, 2], [0, 0, 0, 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0, 0, 5], [0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 4], [0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 5], [0, 2, 0, 1, 0, 2, 0, 0, 0, 5, 2], [0, 2, 0, 1, 0, 2, 0, 0, 1, 3, 3], [0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 4], [0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 4], [0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 5], [0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 5], [0, 2, 0, 1, 0, 3, 0, 0, 0, 0, 6], [0, 2, 0, 1, 1, 0, 0, 0, 1, 7, 0], [0, 2, 0, 1, 1, 0, 0, 0, 2, 5, 1], [0, 2, 0, 1, 1, 0, 0, 0, 3, 3, 2], [0, 2, 0, 1, 1, 0, 0, 0, 4, 1, 3], [0, 2, 0, 1, 1, 0, 0, 1, 0, 6, 1], [0, 2, 0, 1, 1, 0, 0, 1, 1, 4, 2], [0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 3], [0, 2, 0, 1, 1, 0, 0, 1, 3, 0, 4], [0, 2, 0, 1, 1, 0, 0, 2, 0, 3, 3], [0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 4], [0, 2, 0, 1, 1, 0, 0, 3, 0, 0, 5], [0, 2, 0, 1, 1, 0, 1, 0, 0, 5, 2], [0, 2, 0, 1, 1, 0, 1, 0, 1, 3, 3], [0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 4], [0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 4], [0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 5], [0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 5], [0, 2, 0, 1, 1, 1, 0, 0, 0, 4, 3], [0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 4], [0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 5], [0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 5], [0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 6], [0, 2, 0, 1, 2, 0, 0, 0, 0, 3, 4], [0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 5], [0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 6], [0, 2, 0, 2, 0, 0, 0, 0, 0, 8, 0], [0, 2, 0, 2, 0, 0, 0, 0, 1, 6, 1], [0, 2, 0, 2, 0, 0, 0, 0, 2, 4, 2], [0, 2, 0, 2, 0, 0, 0, 0, 3, 2, 3], [0, 2, 0, 2, 0, 0, 0, 0, 4, 0, 4], [0, 2, 0, 2, 0, 0, 0, 1, 0, 5, 2], [0, 2, 0, 2, 0, 0, 0, 1, 1, 3, 3], [0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 4], [0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 4], [0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 5], [0, 2, 0, 2, 0, 0, 1, 0, 0, 4, 3], [0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 4], [0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 5], [0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 5], [0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 6], [0, 2, 0, 2, 0, 1, 0, 0, 0, 3, 4], [0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 5], [0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 6], [0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 5], [0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 6], [0, 2, 0, 3, 0, 0, 0, 0, 0, 1, 6], [0, 2, 1, 0, 0, 0, 0, 0, 5, 4, 0], [0, 2, 1, 0, 0, 0, 0, 0, 6, 2, 1], [0, 2, 1, 0, 0, 0, 0, 0, 7, 0, 2], [0, 2, 1, 0, 0, 0, 0, 1, 3, 5, 0], [0, 2, 1, 0, 0, 0, 0, 1, 4, 3, 1], [0, 2, 1, 0, 0, 0, 0, 1, 5, 1, 2], [0, 2, 1, 0, 0, 0, 0, 2, 1, 6, 0], [0, 2, 1, 0, 0, 0, 0, 2, 2, 4, 1], [0, 2, 1, 0, 0, 0, 0, 2, 3, 2, 2], [0, 2, 1, 0, 0, 0, 0, 2, 4, 0, 3], [0, 2, 1, 0, 0, 0, 0, 3, 0, 5, 1], [0, 2, 1, 0, 0, 0, 0, 3, 1, 3, 2], [0, 2, 1, 0, 0, 0, 0, 3, 2, 1, 3], [0, 2, 1, 0, 0, 0, 0, 4, 0, 2, 3], [0, 2, 1, 0, 0, 0, 0, 4, 1, 0, 4], [0, 2, 1, 0, 0, 0, 1, 0, 2, 6, 0], [0, 2, 1, 0, 0, 0, 1, 0, 3, 4, 1], [0, 2, 1, 0, 0, 0, 1, 0, 4, 2, 2], [0, 2, 1, 0, 0, 0, 1, 0, 5, 0, 3], [0, 2, 1, 0, 0, 0, 1, 1, 0, 7, 0], [0, 2, 1, 0, 0, 0, 1, 1, 1, 5, 1], [0, 2, 1, 0, 0, 0, 1, 1, 2, 3, 2], [0, 2, 1, 0, 0, 0, 1, 1, 3, 1, 3], [0, 2, 1, 0, 0, 0, 1, 2, 0, 4, 2], [0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 3], [0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 4], [0, 2, 1, 0, 0, 0, 1, 3, 0, 1, 4], [0, 2, 1, 0, 0, 0, 2, 0, 0, 6, 1], [0, 2, 1, 0, 0, 0, 2, 0, 1, 4, 2], [0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 3], [0, 2, 1, 0, 0, 0, 2, 0, 3, 0, 4], [0, 2, 1, 0, 0, 0, 2, 1, 0, 3, 3], [0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 4], [0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 5], [0, 2, 1, 0, 0, 0, 3, 0, 0, 2, 4], [0, 2, 1, 0, 0, 0, 3, 0, 1, 0, 5], [0, 2, 1, 0, 0, 1, 0, 0, 1, 7, 0], [0, 2, 1, 0, 0, 1, 0, 0, 2, 5, 1], [0, 2, 1, 0, 0, 1, 0, 0, 3, 3, 2], [0, 2, 1, 0, 0, 1, 0, 0, 4, 1, 3], [0, 2, 1, 0, 0, 1, 0, 1, 0, 6, 1], [0, 2, 1, 0, 0, 1, 0, 1, 1, 4, 2], [0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 3], [0, 2, 1, 0, 0, 1, 0, 1, 3, 0, 4], [0, 2, 1, 0, 0, 1, 0, 2, 0, 3, 3], [0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 4], [0, 2, 1, 0, 0, 1, 0, 3, 0, 0, 5], [0, 2, 1, 0, 0, 1, 1, 0, 0, 5, 2], [0, 2, 1, 0, 0, 1, 1, 0, 1, 3, 3], [0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 4], [0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 4], [0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 5], [0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 5], [0, 2, 1, 0, 0, 2, 0, 0, 0, 4, 3], [0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 4], [0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 5], [0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 5], [0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 6], [0, 2, 1, 0, 1, 0, 0, 0, 0, 8, 0], [0, 2, 1, 0, 1, 0, 0, 0, 1, 6, 1], [0, 2, 1, 0, 1, 0, 0, 0, 2, 4, 2], [0, 2, 1, 0, 1, 0, 0, 0, 3, 2, 3], [0, 2, 1, 0, 1, 0, 0, 0, 4, 0, 4], [0, 2, 1, 0, 1, 0, 0, 1, 0, 5, 2], [0, 2, 1, 0, 1, 0, 0, 1, 1, 3, 3], [0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 4], [0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 4], [0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 5], [0, 2, 1, 0, 1, 0, 1, 0, 0, 4, 3], [0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 4], [0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 5], [0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 5], [0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 6], [0, 2, 1, 0, 1, 1, 0, 0, 0, 3, 4], [0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 5], [0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 6], [0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 5], [0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 6], [0, 2, 1, 1, 0, 0, 0, 0, 0, 7, 1], [0, 2, 1, 1, 0, 0, 0, 0, 1, 5, 2], [0, 2, 1, 1, 0, 0, 0, 0, 2, 3, 3], [0, 2, 1, 1, 0, 0, 0, 0, 3, 1, 4], [0, 2, 1, 1, 0, 0, 0, 1, 0, 4, 3], [0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 4], [0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 5], [0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 5], [0, 2, 1, 1, 0, 0, 1, 0, 0, 3, 4], [0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 5], [0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 6], [0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 5], [0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 6], [0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 6], [0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 7], [0, 2, 2, 0, 0, 0, 0, 0, 0, 6, 2], [0, 2, 2, 0, 0, 0, 0, 0, 1, 4, 3], [0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 4], [0, 2, 2, 0, 0, 0, 0, 0, 3, 0, 5], [0, 2, 2, 0, 0, 0, 0, 1, 0, 3, 4], [0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 5], [0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 6], [0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 5], [0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 6], [0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 6], [0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 7], [0, 3, 0, 0, 0, 0, 0, 0, 4, 5, 0], [0, 3, 0, 0, 0, 0, 0, 0, 5, 3, 1], [0, 3, 0, 0, 0, 0, 0, 0, 6, 1, 2], [0, 3, 0, 0, 0, 0, 0, 1, 2, 6, 0], [0, 3, 0, 0, 0, 0, 0, 1, 3, 4, 1], [0, 3, 0, 0, 0, 0, 0, 1, 4, 2, 2], [0, 3, 0, 0, 0, 0, 0, 1, 5, 0, 3], [0, 3, 0, 0, 0, 0, 0, 2, 0, 7, 0], [0, 3, 0, 0, 0, 0, 0, 2, 1, 5, 1], [0, 3, 0, 0, 0, 0, 0, 2, 2, 3, 2], [0, 3, 0, 0, 0, 0, 0, 2, 3, 1, 3], [0, 3, 0, 0, 0, 0, 0, 3, 0, 4, 2], [0, 3, 0, 0, 0, 0, 0, 3, 1, 2, 3], [0, 3, 0, 0, 0, 0, 0, 3, 2, 0, 4], [0, 3, 0, 0, 0, 0, 0, 4, 0, 1, 4], [0, 3, 0, 0, 0, 0, 1, 0, 1, 7, 0], [0, 3, 0, 0, 0, 0, 1, 0, 2, 5, 1], [0, 3, 0, 0, 0, 0, 1, 0, 3, 3, 2], [0, 3, 0, 0, 0, 0, 1, 0, 4, 1, 3], [0, 3, 0, 0, 0, 0, 1, 1, 0, 6, 1], [0, 3, 0, 0, 0, 0, 1, 1, 1, 4, 2], [0, 3, 0, 0, 0, 0, 1, 1, 2, 2, 3], [0, 3, 0, 0, 0, 0, 1, 1, 3, 0, 4], [0, 3, 0, 0, 0, 0, 1, 2, 0, 3, 3], [0, 3, 0, 0, 0, 0, 1, 2, 1, 1, 4], [0, 3, 0, 0, 0, 0, 1, 3, 0, 0, 5], [0, 3, 0, 0, 0, 0, 2, 0, 0, 5, 2], [0, 3, 0, 0, 0, 0, 2, 0, 1, 3, 3], [0, 3, 0, 0, 0, 0, 2, 0, 2, 1, 4], [0, 3, 0, 0, 0, 0, 2, 1, 0, 2, 4], [0, 3, 0, 0, 0, 0, 2, 1, 1, 0, 5], [0, 3, 0, 0, 0, 0, 3, 0, 0, 1, 5], [0, 3, 0, 0, 0, 1, 0, 0, 0, 8, 0], [0, 3, 0, 0, 0, 1, 0, 0, 1, 6, 1], [0, 3, 0, 0, 0, 1, 0, 0, 2, 4, 2], [0, 3, 0, 0, 0, 1, 0, 0, 3, 2, 3], [0, 3, 0, 0, 0, 1, 0, 0, 4, 0, 4], [0, 3, 0, 0, 0, 1, 0, 1, 0, 5, 2], [0, 3, 0, 0, 0, 1, 0, 1, 1, 3, 3], [0, 3, 0, 0, 0, 1, 0, 1, 2, 1, 4], [0, 3, 0, 0, 0, 1, 0, 2, 0, 2, 4], [0, 3, 0, 0, 0, 1, 0, 2, 1, 0, 5], [0, 3, 0, 0, 0, 1, 1, 0, 0, 4, 3], [0, 3, 0, 0, 0, 1, 1, 0, 1, 2, 4], [0, 3, 0, 0, 0, 1, 1, 0, 2, 0, 5], [0, 3, 0, 0, 0, 1, 1, 1, 0, 1, 5], [0, 3, 0, 0, 0, 1, 2, 0, 0, 0, 6], [0, 3, 0, 0, 0, 2, 0, 0, 0, 3, 4], [0, 3, 0, 0, 0, 2, 0, 0, 1, 1, 5], [0, 3, 0, 0, 0, 2, 0, 1, 0, 0, 6], [0, 3, 0, 0, 1, 0, 0, 0, 0, 7, 1], [0, 3, 0, 0, 1, 0, 0, 0, 1, 5, 2], [0, 3, 0, 0, 1, 0, 0, 0, 2, 3, 3], [0, 3, 0, 0, 1, 0, 0, 0, 3, 1, 4], [0, 3, 0, 0, 1, 0, 0, 1, 0, 4, 3], [0, 3, 0, 0, 1, 0, 0, 1, 1, 2, 4], [0, 3, 0, 0, 1, 0, 0, 1, 2, 0, 5], [0, 3, 0, 0, 1, 0, 0, 2, 0, 1, 5], [0, 3, 0, 0, 1, 0, 1, 0, 0, 3, 4], [0, 3, 0, 0, 1, 0, 1, 0, 1, 1, 5], [0, 3, 0, 0, 1, 0, 1, 1, 0, 0, 6], [0, 3, 0, 0, 1, 1, 0, 0, 0, 2, 5], [0, 3, 0, 0, 1, 1, 0, 0, 1, 0, 6], [0, 3, 0, 0, 2, 0, 0, 0, 0, 1, 6], [0, 3, 0, 1, 0, 0, 0, 0, 0, 6, 2], [0, 3, 0, 1, 0, 0, 0, 0, 1, 4, 3], [0, 3, 0, 1, 0, 0, 0, 0, 2, 2, 4], [0, 3, 0, 1, 0, 0, 0, 0, 3, 0, 5], [0, 3, 0, 1, 0, 0, 0, 1, 0, 3, 4], [0, 3, 0, 1, 0, 0, 0, 1, 1, 1, 5], [0, 3, 0, 1, 0, 0, 0, 2, 0, 0, 6], [0, 3, 0, 1, 0, 0, 1, 0, 0, 2, 5], [0, 3, 0, 1, 0, 0, 1, 0, 1, 0, 6], [0, 3, 0, 1, 0, 1, 0, 0, 0, 1, 6], [0, 3, 0, 1, 1, 0, 0, 0, 0, 0, 7], [0, 3, 1, 0, 0, 0, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 0, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 0, 0, 0, 2, 1, 5], [0, 3, 1, 0, 0, 0, 0, 1, 0, 2, 5], [0, 3, 1, 0, 0, 0, 0, 1, 1, 0, 6], [0, 3, 1, 0, 0, 0, 1, 0, 0, 1, 6], [0, 3, 1, 0, 0, 1, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 0, 0, 0, 1, 0, 1, 6], [0, 4, 0, 0, 0, 0, 1, 0, 0, 0, 7]} (11, 12, 1) has 9921 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], [0, 0, 0, 0, 0, 0, 5, 4, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 5, 4, 1, 0, 0, 2], [0, 0, 0, 0, 0, 0, 6, 0, 2, 4, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 3, 2, 1, 0], [0, 0, 0, 0, 0, 0, 6, 0, 4, 0, 2, 0], [0, 0, 0, 0, 0, 0, 6, 0, 4, 1, 0, 1], [0, 0, 0, 0, 0, 0, 6, 1, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 6, 1, 1, 3, 1, 0], [0, 0, 0, 0, 0, 0, 6, 1, 2, 1, 2, 0], [0, 0, 0, 0, 0, 0, 6, 1, 2, 2, 0, 1], [0, 0, 0, 0, 0, 0, 6, 1, 3, 0, 1, 1], [0, 0, 0, 0, 0, 0, 6, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 6, 2, 0, 3, 0, 1], [0, 0, 0, 0, 0, 0, 6, 2, 1, 0, 3, 0], [0, 0, 0, 0, 0, 0, 6, 2, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 6, 2, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 6, 3, 0, 0, 2, 1], [0, 0, 0, 0, 0, 0, 6, 3, 0, 1, 0, 2], [0, 0, 0, 0, 0, 0, 7, 0, 0, 4, 1, 0], [0, 0, 0, 0, 0, 0, 7, 0, 1, 2, 2, 0], [0, 0, 0, 0, 0, 0, 7, 0, 1, 3, 0, 1], [0, 0, 0, 0, 0, 0, 7, 0, 2, 0, 3, 0], [0, 0, 0, 0, 0, 0, 7, 0, 2, 1, 1, 1], [0, 0, 0, 0, 0, 0, 7, 0, 3, 0, 0, 2], [0, 0, 0, 0, 0, 0, 7, 1, 0, 1, 3, 0], [0, 0, 0, 0, 0, 0, 7, 1, 0, 2, 1, 1], [0, 0, 0, 0, 0, 0, 7, 1, 1, 0, 2, 1], [0, 0, 0, 0, 0, 0, 7, 1, 1, 1, 0, 2], [0, 0, 0, 0, 0, 0, 7, 2, 0, 0, 1, 2], [0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 8, 0, 0, 1, 2, 1], [0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 8, 0, 1, 0, 1, 2], [0, 0, 0, 0, 0, 0, 8, 1, 0, 0, 0, 3], [0, 0, 0, 0, 0, 1, 0, 5, 6, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 6, 4, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 7, 2, 2, 0, 0], [0, 0, 0, 0, 0, 1, 0, 7, 3, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 8, 0, 3, 0, 0], [0, 0, 0, 0, 0, 1, 0, 8, 1, 1, 1, 0], [0, 0, 0, 0, 0, 1, 0, 8, 2, 0, 0, 1], [0, 0, 0, 0, 0, 1, 0, 9, 0, 0, 2, 0], [0, 0, 0, 0, 0, 1, 0, 9, 0, 1, 0, 1], [0, 0, 0, 0, 0, 1, 1, 3, 7, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 4, 5, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 5, 3, 2, 0, 0], [0, 0, 0, 0, 0, 1, 1, 5, 4, 0, 1, 0], [0, 0, 0, 0, 0, 1, 1, 6, 1, 3, 0, 0], [0, 0, 0, 0, 0, 1, 1, 6, 2, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 6, 3, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 7, 0, 2, 1, 0], [0, 0, 0, 0, 0, 1, 1, 7, 1, 0, 2, 0], [0, 0, 0, 0, 0, 1, 1, 7, 1, 1, 0, 1], [0, 0, 0, 0, 0, 1, 1, 8, 0, 0, 1, 1], [0, 0, 0, 0, 0, 1, 2, 1, 8, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 2, 6, 1, 0, 0], [0, 0, 0, 0, 0, 1, 2, 3, 4, 2, 0, 0], [0, 0, 0, 0, 0, 1, 2, 3, 5, 0, 1, 0], [0, 0, 0, 0, 0, 1, 2, 4, 2, 3, 0, 0], [0, 0, 0, 0, 0, 1, 2, 4, 3, 1, 1, 0], [0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1], [0, 0, 0, 0, 0, 1, 2, 5, 0, 4, 0, 0], [0, 0, 0, 0, 0, 1, 2, 5, 1, 2, 1, 0], [0, 0, 0, 0, 0, 1, 2, 5, 2, 0, 2, 0], [0, 0, 0, 0, 0, 1, 2, 5, 2, 1, 0, 1], [0, 0, 0, 0, 0, 1, 2, 6, 0, 1, 2, 0], [0, 0, 0, 0, 0, 1, 2, 6, 0, 2, 0, 1], [0, 0, 0, 0, 0, 1, 2, 6, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 2, 7, 0, 0, 0, 2], [0, 0, 0, 0, 0, 1, 3, 0, 7, 1, 0, 0], [0, 0, 0, 0, 0, 1, 3, 1, 5, 2, 0, 0], [0, 0, 0, 0, 0, 1, 3, 1, 6, 0, 1, 0], [0, 0, 0, 0, 0, 1, 3, 2, 3, 3, 0, 0], [0, 0, 0, 0, 0, 1, 3, 2, 4, 1, 1, 0], [0, 0, 0, 0, 0, 1, 3, 2, 5, 0, 0, 1], [0, 0, 0, 0, 0, 1, 3, 3, 1, 4, 0, 0], [0, 0, 0, 0, 0, 1, 3, 3, 2, 2, 1, 0], [0, 0, 0, 0, 0, 1, 3, 3, 3, 0, 2, 0], [0, 0, 0, 0, 0, 1, 3, 3, 3, 1, 0, 1], [0, 0, 0, 0, 0, 1, 3, 4, 0, 3, 1, 0], [0, 0, 0, 0, 0, 1, 3, 4, 1, 1, 2, 0], [0, 0, 0, 0, 0, 1, 3, 4, 1, 2, 0, 1], [0, 0, 0, 0, 0, 1, 3, 4, 2, 0, 1, 1], [0, 0, 0, 0, 0, 1, 3, 5, 0, 0, 3, 0], [0, 0, 0, 0, 0, 1, 3, 5, 0, 1, 1, 1], [0, 0, 0, 0, 0, 1, 3, 5, 1, 0, 0, 2], [0, 0, 0, 0, 0, 1, 4, 0, 4, 3, 0, 0], [0, 0, 0, 0, 0, 1, 4, 0, 5, 1, 1, 0], [0, 0, 0, 0, 0, 1, 4, 0, 6, 0, 0, 1], [0, 0, 0, 0, 0, 1, 4, 1, 2, 4, 0, 0], [0, 0, 0, 0, 0, 1, 4, 1, 3, 2, 1, 0], [0, 0, 0, 0, 0, 1, 4, 1, 4, 0, 2, 0], [0, 0, 0, 0, 0, 1, 4, 1, 4, 1, 0, 1], [0, 0, 0, 0, 0, 1, 4, 2, 0, 5, 0, 0], [0, 0, 0, 0, 0, 1, 4, 2, 1, 3, 1, 0], [0, 0, 0, 0, 0, 1, 4, 2, 2, 1, 2, 0], [0, 0, 0, 0, 0, 1, 4, 2, 2, 2, 0, 1], [0, 0, 0, 0, 0, 1, 4, 2, 3, 0, 1, 1], [0, 0, 0, 0, 0, 1, 4, 3, 0, 2, 2, 0], [0, 0, 0, 0, 0, 1, 4, 3, 0, 3, 0, 1], [0, 0, 0, 0, 0, 1, 4, 3, 1, 0, 3, 0], [0, 0, 0, 0, 0, 1, 4, 3, 1, 1, 1, 1], [0, 0, 0, 0, 0, 1, 4, 3, 2, 0, 0, 2], [0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 1], [0, 0, 0, 0, 0, 1, 4, 4, 0, 1, 0, 2], [0, 0, 0, 0, 0, 1, 5, 0, 1, 5, 0, 0], [0, 0, 0, 0, 0, 1, 5, 0, 2, 3, 1, 0], [0, 0, 0, 0, 0, 1, 5, 0, 3, 1, 2, 0], [0, 0, 0, 0, 0, 1, 5, 0, 3, 2, 0, 1], [0, 0, 0, 0, 0, 1, 5, 0, 4, 0, 1, 1], [0, 0, 0, 0, 0, 1, 5, 1, 0, 4, 1, 0], [0, 0, 0, 0, 0, 1, 5, 1, 1, 2, 2, 0], [0, 0, 0, 0, 0, 1, 5, 1, 1, 3, 0, 1], [0, 0, 0, 0, 0, 1, 5, 1, 2, 0, 3, 0], [0, 0, 0, 0, 0, 1, 5, 1, 2, 1, 1, 1], [0, 0, 0, 0, 0, 1, 5, 1, 3, 0, 0, 2], [0, 0, 0, 0, 0, 1, 5, 2, 0, 1, 3, 0], [0, 0, 0, 0, 0, 1, 5, 2, 0, 2, 1, 1], [0, 0, 0, 0, 0, 1, 5, 2, 1, 0, 2, 1], [0, 0, 0, 0, 0, 1, 5, 2, 1, 1, 0, 2], [0, 0, 0, 0, 0, 1, 5, 3, 0, 0, 1, 2], [0, 0, 0, 0, 0, 1, 6, 0, 0, 3, 2, 0], [0, 0, 0, 0, 0, 1, 6, 0, 0, 4, 0, 1], [0, 0, 0, 0, 0, 1, 6, 0, 1, 1, 3, 0], [0, 0, 0, 0, 0, 1, 6, 0, 1, 2, 1, 1], [0, 0, 0, 0, 0, 1, 6, 0, 2, 0, 2, 1], [0, 0, 0, 0, 0, 1, 6, 0, 2, 1, 0, 2], [0, 0, 0, 0, 0, 1, 6, 1, 0, 0, 4, 0], [0, 0, 0, 0, 0, 1, 6, 1, 0, 1, 2, 1], [0, 0, 0, 0, 0, 1, 6, 1, 0, 2, 0, 2], [0, 0, 0, 0, 0, 1, 6, 1, 1, 0, 1, 2], [0, 0, 0, 0, 0, 1, 6, 2, 0, 0, 0, 3], [0, 0, 0, 0, 0, 1, 7, 0, 0, 0, 3, 1], [0, 0, 0, 0, 0, 1, 7, 0, 0, 1, 1, 2], [0, 0, 0, 0, 0, 1, 7, 0, 1, 0, 0, 3], [0, 0, 0, 0, 0, 2, 0, 2, 8, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 3, 6, 1, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 4, 2, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 5, 0, 1, 0], [0, 0, 0, 0, 0, 2, 0, 5, 2, 3, 0, 0], [0, 0, 0, 0, 0, 2, 0, 5, 3, 1, 1, 0], [0, 0, 0, 0, 0, 2, 0, 5, 4, 0, 0, 1], [0, 0, 0, 0, 0, 2, 0, 6, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 6, 1, 2, 1, 0], [0, 0, 0, 0, 0, 2, 0, 6, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 6, 2, 1, 0, 1], [0, 0, 0, 0, 0, 2, 0, 7, 0, 1, 2, 0], [0, 0, 0, 0, 0, 2, 0, 7, 0, 2, 0, 1], [0, 0, 0, 0, 0, 2, 0, 7, 1, 0, 1, 1], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0, 0, 2], [0, 0, 0, 0, 0, 2, 1, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 2, 1, 1, 7, 1, 0, 0], [0, 0, 0, 0, 0, 2, 1, 2, 5, 2, 0, 0], [0, 0, 0, 0, 0, 2, 1, 2, 6, 0, 1, 0], [0, 0, 0, 0, 0, 2, 1, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 2, 1, 3, 4, 1, 1, 0], [0, 0, 0, 0, 0, 2, 1, 3, 5, 0, 0, 1], [0, 0, 0, 0, 0, 2, 1, 4, 1, 4, 0, 0], [0, 0, 0, 0, 0, 2, 1, 4, 2, 2, 1, 0], [0, 0, 0, 0, 0, 2, 1, 4, 3, 0, 2, 0], [0, 0, 0, 0, 0, 2, 1, 4, 3, 1, 0, 1], [0, 0, 0, 0, 0, 2, 1, 5, 0, 3, 1, 0], [0, 0, 0, 0, 0, 2, 1, 5, 1, 1, 2, 0], [0, 0, 0, 0, 0, 2, 1, 5, 1, 2, 0, 1], [0, 0, 0, 0, 0, 2, 1, 5, 2, 0, 1, 1], [0, 0, 0, 0, 0, 2, 1, 6, 0, 0, 3, 0], [0, 0, 0, 0, 0, 2, 1, 6, 0, 1, 1, 1], [0, 0, 0, 0, 0, 2, 1, 6, 1, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 0, 6, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 7, 0, 1, 0], [0, 0, 0, 0, 0, 2, 2, 1, 4, 3, 0, 0], [0, 0, 0, 0, 0, 2, 2, 1, 5, 1, 1, 0], [0, 0, 0, 0, 0, 2, 2, 1, 6, 0, 0, 1], [0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 3, 2, 1, 0], [0, 0, 0, 0, 0, 2, 2, 2, 4, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 4, 1, 0, 1], [0, 0, 0, 0, 0, 2, 2, 3, 0, 5, 0, 0], [0, 0, 0, 0, 0, 2, 2, 3, 1, 3, 1, 0], [0, 0, 0, 0, 0, 2, 2, 3, 2, 1, 2, 0], [0, 0, 0, 0, 0, 2, 2, 3, 2, 2, 0, 1], [0, 0, 0, 0, 0, 2, 2, 3, 3, 0, 1, 1], [0, 0, 0, 0, 0, 2, 2, 4, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 2, 4, 0, 3, 0, 1], [0, 0, 0, 0, 0, 2, 2, 4, 1, 0, 3, 0], [0, 0, 0, 0, 0, 2, 2, 4, 1, 1, 1, 1], 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0, 1, 1, 0, 0, 1, 2, 4], [0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 5], [0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 5], [0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 6], [0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 3, 4], [0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 5], [0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 6], [0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 8, 0], [0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 6, 1], [0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 4, 2], [0, 2, 1, 0, 1, 0, 0, 0, 0, 3, 2, 3], [0, 2, 1, 0, 1, 0, 0, 0, 0, 4, 0, 4], [0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 5, 2], [0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 3, 3], [0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 4], [0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 4], [0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 5], [0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 4, 3], [0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 4], [0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 5], [0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 5], [0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 6], [0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 3, 4], [0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 5], [0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 6], [0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 5], [0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 6], [0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 6], [0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 7, 1], [0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 5, 2], [0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 3, 3], [0, 2, 1, 1, 0, 0, 0, 0, 0, 3, 1, 4], [0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 4, 3], [0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 4], [0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 5], [0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 5], [0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 3, 4], [0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 5], [0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 6], [0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 5], [0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 6], [0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 6], [0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 7], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 6, 2], [0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 4, 3], [0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 4], [0, 2, 2, 0, 0, 0, 0, 0, 0, 3, 0, 5], [0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 3, 4], [0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 5], [0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 6], [0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 5], [0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 6], [0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 6], [0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 7], [0, 3, 0, 0, 0, 0, 0, 0, 0, 5, 4, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 6, 2, 1], [0, 3, 0, 0, 0, 0, 0, 0, 0, 7, 0, 2], [0, 3, 0, 0, 0, 0, 0, 0, 1, 3, 5, 0], [0, 3, 0, 0, 0, 0, 0, 0, 1, 4, 3, 1], [0, 3, 0, 0, 0, 0, 0, 0, 1, 5, 1, 2], [0, 3, 0, 0, 0, 0, 0, 0, 2, 1, 6, 0], [0, 3, 0, 0, 0, 0, 0, 0, 2, 2, 4, 1], [0, 3, 0, 0, 0, 0, 0, 0, 2, 3, 2, 2], [0, 3, 0, 0, 0, 0, 0, 0, 2, 4, 0, 3], [0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 5, 1], [0, 3, 0, 0, 0, 0, 0, 0, 3, 1, 3, 2], [0, 3, 0, 0, 0, 0, 0, 0, 3, 2, 1, 3], [0, 3, 0, 0, 0, 0, 0, 0, 4, 0, 2, 3], [0, 3, 0, 0, 0, 0, 0, 0, 4, 1, 0, 4], [0, 3, 0, 0, 0, 0, 0, 1, 0, 2, 6, 0], [0, 3, 0, 0, 0, 0, 0, 1, 0, 3, 4, 1], [0, 3, 0, 0, 0, 0, 0, 1, 0, 4, 2, 2], [0, 3, 0, 0, 0, 0, 0, 1, 0, 5, 0, 3], [0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 7, 0], [0, 3, 0, 0, 0, 0, 0, 1, 1, 1, 5, 1], [0, 3, 0, 0, 0, 0, 0, 1, 1, 2, 3, 2], [0, 3, 0, 0, 0, 0, 0, 1, 1, 3, 1, 3], [0, 3, 0, 0, 0, 0, 0, 1, 2, 0, 4, 2], [0, 3, 0, 0, 0, 0, 0, 1, 2, 1, 2, 3], [0, 3, 0, 0, 0, 0, 0, 1, 2, 2, 0, 4], [0, 3, 0, 0, 0, 0, 0, 1, 3, 0, 1, 4], [0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 6, 1], [0, 3, 0, 0, 0, 0, 0, 2, 0, 1, 4, 2], [0, 3, 0, 0, 0, 0, 0, 2, 0, 2, 2, 3], [0, 3, 0, 0, 0, 0, 0, 2, 0, 3, 0, 4], [0, 3, 0, 0, 0, 0, 0, 2, 1, 0, 3, 3], [0, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4], [0, 3, 0, 0, 0, 0, 0, 2, 2, 0, 0, 5], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 2, 4], [0, 3, 0, 0, 0, 0, 0, 3, 0, 1, 0, 5], [0, 3, 0, 0, 0, 0, 1, 0, 0, 1, 7, 0], [0, 3, 0, 0, 0, 0, 1, 0, 0, 2, 5, 1], [0, 3, 0, 0, 0, 0, 1, 0, 0, 3, 3, 2], [0, 3, 0, 0, 0, 0, 1, 0, 0, 4, 1, 3], [0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 6, 1], [0, 3, 0, 0, 0, 0, 1, 0, 1, 1, 4, 2], [0, 3, 0, 0, 0, 0, 1, 0, 1, 2, 2, 3], [0, 3, 0, 0, 0, 0, 1, 0, 1, 3, 0, 4], [0, 3, 0, 0, 0, 0, 1, 0, 2, 0, 3, 3], [0, 3, 0, 0, 0, 0, 1, 0, 2, 1, 1, 4], [0, 3, 0, 0, 0, 0, 1, 0, 3, 0, 0, 5], [0, 3, 0, 0, 0, 0, 1, 1, 0, 0, 5, 2], [0, 3, 0, 0, 0, 0, 1, 1, 0, 1, 3, 3], [0, 3, 0, 0, 0, 0, 1, 1, 0, 2, 1, 4], [0, 3, 0, 0, 0, 0, 1, 1, 1, 0, 2, 4], [0, 3, 0, 0, 0, 0, 1, 1, 1, 1, 0, 5], [0, 3, 0, 0, 0, 0, 1, 2, 0, 0, 1, 5], [0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 4, 3], [0, 3, 0, 0, 0, 0, 2, 0, 0, 1, 2, 4], [0, 3, 0, 0, 0, 0, 2, 0, 0, 2, 0, 5], [0, 3, 0, 0, 0, 0, 2, 0, 1, 0, 1, 5], [0, 3, 0, 0, 0, 0, 2, 1, 0, 0, 0, 6], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 8, 0], [0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 6, 1], [0, 3, 0, 0, 0, 1, 0, 0, 0, 2, 4, 2], [0, 3, 0, 0, 0, 1, 0, 0, 0, 3, 2, 3], [0, 3, 0, 0, 0, 1, 0, 0, 0, 4, 0, 4], [0, 3, 0, 0, 0, 1, 0, 0, 1, 0, 5, 2], [0, 3, 0, 0, 0, 1, 0, 0, 1, 1, 3, 3], [0, 3, 0, 0, 0, 1, 0, 0, 1, 2, 1, 4], [0, 3, 0, 0, 0, 1, 0, 0, 2, 0, 2, 4], [0, 3, 0, 0, 0, 1, 0, 0, 2, 1, 0, 5], [0, 3, 0, 0, 0, 1, 0, 1, 0, 0, 4, 3], [0, 3, 0, 0, 0, 1, 0, 1, 0, 1, 2, 4], [0, 3, 0, 0, 0, 1, 0, 1, 0, 2, 0, 5], [0, 3, 0, 0, 0, 1, 0, 1, 1, 0, 1, 5], [0, 3, 0, 0, 0, 1, 0, 2, 0, 0, 0, 6], [0, 3, 0, 0, 0, 1, 1, 0, 0, 0, 3, 4], [0, 3, 0, 0, 0, 1, 1, 0, 0, 1, 1, 5], [0, 3, 0, 0, 0, 1, 1, 0, 1, 0, 0, 6], [0, 3, 0, 0, 0, 2, 0, 0, 0, 0, 2, 5], [0, 3, 0, 0, 0, 2, 0, 0, 0, 1, 0, 6], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 7, 1], [0, 3, 0, 0, 1, 0, 0, 0, 0, 1, 5, 2], [0, 3, 0, 0, 1, 0, 0, 0, 0, 2, 3, 3], [0, 3, 0, 0, 1, 0, 0, 0, 0, 3, 1, 4], [0, 3, 0, 0, 1, 0, 0, 0, 1, 0, 4, 3], [0, 3, 0, 0, 1, 0, 0, 0, 1, 1, 2, 4], [0, 3, 0, 0, 1, 0, 0, 0, 1, 2, 0, 5], [0, 3, 0, 0, 1, 0, 0, 0, 2, 0, 1, 5], [0, 3, 0, 0, 1, 0, 0, 1, 0, 0, 3, 4], [0, 3, 0, 0, 1, 0, 0, 1, 0, 1, 1, 5], [0, 3, 0, 0, 1, 0, 0, 1, 1, 0, 0, 6], [0, 3, 0, 0, 1, 0, 1, 0, 0, 0, 2, 5], [0, 3, 0, 0, 1, 0, 1, 0, 0, 1, 0, 6], [0, 3, 0, 0, 1, 1, 0, 0, 0, 0, 1, 6], [0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 7], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 6, 2], [0, 3, 0, 1, 0, 0, 0, 0, 0, 1, 4, 3], [0, 3, 0, 1, 0, 0, 0, 0, 0, 2, 2, 4], [0, 3, 0, 1, 0, 0, 0, 0, 0, 3, 0, 5], [0, 3, 0, 1, 0, 0, 0, 0, 1, 0, 3, 4], [0, 3, 0, 1, 0, 0, 0, 0, 1, 1, 1, 5], [0, 3, 0, 1, 0, 0, 0, 0, 2, 0, 0, 6], [0, 3, 0, 1, 0, 0, 0, 1, 0, 0, 2, 5], [0, 3, 0, 1, 0, 0, 0, 1, 0, 1, 0, 6], [0, 3, 0, 1, 0, 0, 1, 0, 0, 0, 1, 6], [0, 3, 0, 1, 0, 1, 0, 0, 0, 0, 0, 7], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 0, 0, 0, 0, 2, 1, 5], [0, 3, 1, 0, 0, 0, 0, 0, 1, 0, 2, 5], [0, 3, 1, 0, 0, 0, 0, 0, 1, 1, 0, 6], [0, 3, 1, 0, 0, 0, 0, 1, 0, 0, 1, 6], [0, 3, 1, 0, 0, 0, 1, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 6], [0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 7]} (12, 12, 1) has 18320 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, 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0, 1, 1, 0, 0, 6], [0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 5], [0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 6], [0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 6], [0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 7], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 2], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 4, 3], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 5], [0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 3, 4], [0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5], [0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 6], [0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 5], [0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 6], [0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 6], [0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 7], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 3, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 7, 1, 1], [0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 5, 2, 1], [0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 2], [0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 5, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 1], [0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 4, 1, 2], [0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 1, 4, 1], [0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2], [0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3], [0, 3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 3, 2], [0, 3, 0, 0, 0, 0, 0, 0, 0, 4, 1, 1, 3], [0, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4], [0, 3, 0, 0, 0, 0, 0, 0, 1, 0, 3, 5, 0], [0, 3, 0, 0, 0, 0, 0, 0, 1, 0, 4, 3, 1], [0, 3, 0, 0, 0, 0, 0, 0, 1, 0, 5, 1, 2], [0, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 6, 0], [0, 3, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 1], [0, 3, 0, 0, 0, 0, 0, 0, 1, 1, 3, 2, 2], [0, 3, 0, 0, 0, 0, 0, 0, 1, 1, 4, 0, 3], [0, 3, 0, 0, 0, 0, 0, 0, 1, 2, 0, 5, 1], [0, 3, 0, 0, 0, 0, 0, 0, 1, 2, 1, 3, 2], [0, 3, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 3], [0, 3, 0, 0, 0, 0, 0, 0, 1, 3, 0, 2, 3], [0, 3, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 4], [0, 3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 7, 0], [0, 3, 0, 0, 0, 0, 0, 0, 2, 0, 1, 5, 1], [0, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 3, 2], [0, 3, 0, 0, 0, 0, 0, 0, 2, 0, 3, 1, 3], [0, 3, 0, 0, 0, 0, 0, 0, 2, 1, 0, 4, 2], [0, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 3], [0, 3, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 4], [0, 3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 4], [0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 1, 1, 4], [0, 3, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 5], [0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 2, 6, 0], [0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 3, 4, 1], [0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 4, 2, 2], [0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 5, 0, 3], [0, 3, 0, 0, 0, 0, 0, 1, 0, 1, 0, 7, 0], [0, 3, 0, 0, 0, 0, 0, 1, 0, 1, 1, 5, 1], [0, 3, 0, 0, 0, 0, 0, 1, 0, 1, 2, 3, 2], [0, 3, 0, 0, 0, 0, 0, 1, 0, 1, 3, 1, 3], [0, 3, 0, 0, 0, 0, 0, 1, 0, 2, 0, 4, 2], [0, 3, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 3], [0, 3, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 4], [0, 3, 0, 0, 0, 0, 0, 1, 0, 3, 0, 1, 4], [0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 6, 1], [0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 1, 4, 2], [0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 3], [0, 3, 0, 0, 0, 0, 0, 1, 1, 0, 3, 0, 4], [0, 3, 0, 0, 0, 0, 0, 1, 1, 1, 0, 3, 3], [0, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4], [0, 3, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 5], [0, 3, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 4], [0, 3, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 5], [0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 5, 2], [0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 1, 3, 3], [0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 4], [0, 3, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 4], [0, 3, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 5], [0, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 5], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6], [0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 1, 7, 0], [0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 2, 5, 1], [0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 3, 3, 2], [0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 4, 1, 3], [0, 3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 6, 1], [0, 3, 0, 0, 0, 0, 1, 0, 0, 1, 1, 4, 2], [0, 3, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 3], [0, 3, 0, 0, 0, 0, 1, 0, 0, 1, 3, 0, 4], [0, 3, 0, 0, 0, 0, 1, 0, 0, 2, 0, 3, 3], [0, 3, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 4], [0, 3, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 5], [0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 0, 5, 2], [0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 1, 3, 3], [0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 4], [0, 3, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 4], [0, 3, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 5], [0, 3, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 5], [0, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 4, 3], [0, 3, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 4], [0, 3, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 5], [0, 3, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 5], [0, 3, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 6], [0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 4], [0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 5], [0, 3, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 6], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 0], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 1, 6, 1], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 2, 4, 2], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 3, 2, 3], [0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 4, 0, 4], [0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 5, 2], [0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 1, 3, 3], [0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 4], [0, 3, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 4], [0, 3, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 5], [0, 3, 0, 0, 0, 1, 0, 0, 1, 0, 0, 4, 3], [0, 3, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 4], [0, 3, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 5], [0, 3, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 5], [0, 3, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 6], [0, 3, 0, 0, 0, 1, 0, 1, 0, 0, 0, 3, 4], [0, 3, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 5], [0, 3, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 6], [0, 3, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 5], [0, 3, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 6], [0, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 6], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 7, 1], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 1, 5, 2], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 2, 3, 3], [0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 3, 1, 4], [0, 3, 0, 0, 1, 0, 0, 0, 0, 1, 0, 4, 3], [0, 3, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 4], [0, 3, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 5], [0, 3, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 5], [0, 3, 0, 0, 1, 0, 0, 0, 1, 0, 0, 3, 4], [0, 3, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 5], [0, 3, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 6], [0, 3, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 5], [0, 3, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 6], [0, 3, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 6], [0, 3, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 7], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 6, 2], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 1, 4, 3], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 4], [0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 3, 0, 5], [0, 3, 0, 1, 0, 0, 0, 0, 0, 1, 0, 3, 4], [0, 3, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 5], [0, 3, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 6], [0, 3, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 5], [0, 3, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 6], [0, 3, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 6], [0, 3, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 7], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 3], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4], [0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 5], [0, 3, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 5], [0, 3, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 6], [0, 3, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 6], [0, 3, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 7], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6], [0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 6], [0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 7]} (13, 12, 1) has 32647 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, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 2, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 3, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 4, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 1, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1, 2, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 4, 5, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 5, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 5, 4, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 5, 5, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 6, 1, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 6, 2, 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