------- (20, 40, 3) Remaining distance distributions (3, 40, 3) has 1 possible DDs: {[5, 15, 15, 5]} (4, 40, 3) has 6 possible DDs: {[0, 20, 0, 20, 0], [1, 16, 6, 16, 1], [2, 12, 12, 12, 2], [3, 8, 18, 8, 3], [4, 4, 24, 4, 4], [5, 0, 30, 0, 5]} (5, 40, 3) has 10 possible DDs: {[0, 10, 10, 10, 10, 0], [0, 11, 6, 16, 6, 1], [1, 6, 16, 6, 11, 0], [1, 7, 12, 12, 7, 1], [1, 8, 8, 18, 3, 2], [2, 3, 18, 8, 8, 1], [2, 4, 14, 14, 4, 2], [2, 5, 10, 20, 0, 3], [3, 0, 20, 10, 5, 2], [3, 1, 16, 16, 1, 3]} (6, 40, 3) has 14 possible DDs: {[0, 4, 14, 4, 14, 4, 0], [0, 5, 10, 10, 10, 5, 0], [0, 6, 6, 16, 6, 6, 0], [0, 6, 7, 12, 12, 2, 1], [1, 2, 12, 12, 7, 6, 0], [1, 2, 13, 8, 13, 2, 1], [1, 3, 9, 14, 9, 3, 1], [1, 4, 5, 20, 5, 4, 1], [1, 4, 6, 16, 11, 0, 2], [2, 0, 11, 16, 6, 4, 1], [2, 0, 12, 12, 12, 0, 2], [2, 1, 8, 18, 8, 1, 2], [2, 2, 4, 24, 4, 2, 2], [3, 0, 3, 28, 3, 0, 3]} (7, 40, 3) has 24 possible DDs: {[0, 0, 15, 5, 5, 15, 0, 0], [0, 1, 12, 7, 7, 12, 1, 0], [0, 2, 9, 9, 9, 9, 2, 0], [0, 2, 10, 5, 15, 5, 3, 0], [0, 3, 5, 15, 5, 10, 2, 0], [0, 3, 6, 11, 11, 6, 3, 0], [0, 3, 7, 8, 13, 8, 0, 1], [0, 3, 8, 4, 19, 4, 1, 1], [0, 4, 3, 13, 13, 3, 4, 0], [0, 4, 3, 14, 9, 9, 0, 1], [0, 4, 4, 10, 15, 5, 1, 1], [0, 5, 0, 15, 15, 0, 5, 0], [1, 0, 8, 13, 8, 7, 3, 0], [1, 0, 9, 9, 14, 3, 4, 0], [1, 0, 9, 10, 10, 9, 0, 1], [1, 1, 4, 19, 4, 8, 3, 0], [1, 1, 5, 15, 10, 4, 4, 0], [1, 1, 6, 12, 12, 6, 1, 1], [1, 2, 3, 14, 14, 3, 2, 1], [1, 2, 5, 7, 22, 1, 0, 2], [1, 3, 0, 16, 16, 0, 3, 1], [2, 0, 1, 22, 7, 5, 2, 1], [2, 0, 3, 15, 15, 3, 0, 2], [2, 1, 0, 17, 17, 0, 1, 2]} (8, 40, 3) has 34 possible DDs: {[0, 0, 7, 12, 2, 12, 7, 0, 0], [0, 0, 8, 8, 8, 8, 8, 0, 0], [0, 0, 9, 4, 14, 4, 9, 0, 0], [0, 1, 4, 15, 0, 15, 4, 1, 0], [0, 1, 5, 11, 6, 11, 5, 1, 0], [0, 1, 6, 7, 12, 7, 6, 1, 0], [0, 1, 7, 3, 18, 3, 7, 1, 0], [0, 2, 2, 14, 4, 14, 2, 2, 0], [0, 2, 3, 10, 10, 10, 3, 2, 0], [0, 2, 3, 12, 3, 18, 1, 0, 1], [0, 2, 4, 6, 16, 6, 4, 2, 0], [0, 2, 4, 8, 9, 14, 2, 0, 1], [0, 2, 5, 2, 22, 2, 5, 2, 0], [0, 2, 5, 4, 15, 10, 3, 0, 1], [0, 2, 6, 0, 21, 6, 4, 0, 1], [0, 3, 0, 13, 8, 13, 0, 3, 0], [0, 3, 1, 9, 14, 9, 1, 3, 0], [0, 3, 2, 5, 20, 5, 2, 3, 0], [0, 4, 0, 4, 24, 4, 0, 4, 0], [1, 0, 1, 18, 3, 12, 3, 2, 0], [1, 0, 2, 14, 9, 8, 4, 2, 0], [1, 0, 2, 16, 2, 16, 2, 0, 1], [1, 0, 3, 10, 15, 4, 5, 2, 0], [1, 0, 3, 12, 8, 12, 3, 0, 1], [1, 0, 4, 6, 21, 0, 6, 2, 0], [1, 0, 4, 8, 14, 8, 4, 0, 1], [1, 0, 5, 4, 20, 4, 5, 0, 1], [1, 1, 0, 15, 6, 15, 0, 1, 1], [1, 1, 1, 11, 12, 11, 1, 1, 1], [1, 1, 2, 7, 18, 7, 2, 1, 1], [1, 1, 3, 3, 24, 3, 3, 1, 1], [1, 2, 0, 6, 22, 6, 0, 2, 1], [2, 0, 0, 8, 20, 8, 0, 0, 2], [2, 0, 1, 4, 26, 4, 1, 0, 2]} (9, 40, 3) has 23 possible DDs: {[0, 0, 2, 14, 4, 4, 14, 2, 0, 0], [0, 0, 3, 11, 6, 6, 11, 3, 0, 0], [0, 0, 4, 8, 8, 8, 8, 4, 0, 0], [0, 0, 5, 5, 10, 10, 5, 5, 0, 0], [0, 0, 6, 2, 12, 12, 2, 6, 0, 0], [0, 1, 0, 14, 5, 5, 14, 0, 1, 0], [0, 1, 1, 11, 7, 7, 11, 1, 1, 0], [0, 1, 2, 8, 9, 9, 8, 2, 1, 0], [0, 1, 3, 5, 11, 11, 5, 3, 1, 0], [0, 1, 4, 2, 13, 13, 2, 4, 1, 0], [0, 1, 4, 4, 8, 14, 8, 0, 0, 1], [0, 2, 0, 8, 10, 10, 8, 0, 2, 0], [0, 2, 1, 5, 12, 12, 5, 1, 2, 0], [0, 2, 2, 2, 14, 14, 2, 2, 2, 0], [0, 3, 0, 2, 15, 15, 2, 0, 3, 0], [1, 0, 0, 8, 14, 8, 4, 4, 1, 0], [1, 0, 0, 10, 9, 9, 10, 0, 0, 1], [1, 0, 1, 7, 11, 11, 7, 1, 0, 1], [1, 0, 2, 4, 13, 13, 4, 2, 0, 1], [1, 0, 3, 1, 15, 15, 1, 3, 0, 1], [1, 1, 0, 4, 14, 14, 4, 0, 1, 1], [1, 1, 1, 1, 16, 16, 1, 1, 1, 1], [2, 0, 0, 0, 18, 18, 0, 0, 0, 2]} (10, 40, 3) has 50 possible DDs: {[0, 0, 0, 10, 10, 0, 10, 10, 0, 0, 0], [0, 0, 0, 11, 6, 6, 6, 11, 0, 0, 0], [0, 0, 0, 12, 2, 12, 2, 12, 0, 0, 0], [0, 0, 1, 8, 9, 4, 9, 8, 1, 0, 0], [0, 0, 1, 9, 5, 10, 5, 9, 1, 0, 0], [0, 0, 2, 5, 12, 2, 12, 5, 2, 0, 0], [0, 0, 2, 6, 8, 8, 8, 6, 2, 0, 0], [0, 0, 2, 7, 4, 14, 4, 7, 2, 0, 0], [0, 0, 2, 8, 0, 20, 0, 8, 2, 0, 0], [0, 0, 3, 2, 15, 0, 15, 2, 3, 0, 0], [0, 0, 3, 3, 11, 6, 11, 3, 3, 0, 0], [0, 0, 3, 4, 7, 12, 7, 4, 3, 0, 0], [0, 0, 3, 5, 3, 18, 3, 5, 3, 0, 0], [0, 0, 4, 0, 14, 4, 14, 0, 4, 0, 0], [0, 0, 4, 1, 10, 10, 10, 1, 4, 0, 0], [0, 0, 4, 2, 6, 16, 6, 2, 4, 0, 0], [0, 0, 4, 3, 2, 22, 2, 3, 4, 0, 0], [0, 0, 5, 0, 5, 20, 5, 0, 5, 0, 0], [0, 0, 5, 0, 10, 4, 20, 0, 0, 0, 1], [0, 1, 0, 5, 14, 0, 14, 5, 0, 1, 0], [0, 1, 0, 6, 10, 6, 10, 6, 0, 1, 0], [0, 1, 0, 7, 6, 12, 6, 7, 0, 1, 0], [0, 1, 0, 8, 2, 18, 2, 8, 0, 1, 0], [0, 1, 1, 3, 13, 4, 13, 3, 1, 1, 0], [0, 1, 1, 4, 9, 10, 9, 4, 1, 1, 0], [0, 1, 1, 5, 5, 16, 5, 5, 1, 1, 0], [0, 1, 2, 1, 12, 8, 12, 1, 2, 1, 0], [0, 1, 2, 2, 8, 14, 8, 2, 2, 1, 0], [0, 1, 2, 3, 4, 20, 4, 3, 2, 1, 0], [0, 1, 3, 0, 7, 18, 7, 0, 3, 1, 0], [0, 1, 3, 1, 3, 24, 3, 1, 3, 1, 0], [0, 2, 0, 0, 18, 0, 18, 0, 0, 2, 0], [0, 2, 0, 1, 14, 6, 14, 1, 0, 2, 0], [0, 2, 0, 2, 10, 12, 10, 2, 0, 2, 0], [0, 2, 0, 3, 6, 18, 6, 3, 0, 2, 0], [0, 2, 0, 4, 2, 24, 2, 4, 0, 2, 0], [0, 2, 1, 0, 9, 16, 9, 0, 1, 2, 0], [0, 2, 1, 1, 5, 22, 5, 1, 1, 2, 0], [1, 0, 0, 0, 20, 4, 10, 0, 5, 0, 0], [1, 0, 0, 3, 13, 6, 13, 3, 0, 0, 1], [1, 0, 0, 4, 9, 12, 9, 4, 0, 0, 1], [1, 0, 0, 5, 5, 18, 5, 5, 0, 0, 1], [1, 0, 1, 0, 16, 4, 16, 0, 1, 0, 1], [1, 0, 1, 1, 12, 10, 12, 1, 1, 0, 1], [1, 0, 1, 2, 8, 16, 8, 2, 1, 0, 1], [1, 0, 1, 3, 4, 22, 4, 3, 1, 0, 1], [1, 0, 2, 0, 7, 20, 7, 0, 2, 0, 1], [1, 0, 2, 1, 3, 26, 3, 1, 2, 0, 1], [1, 1, 0, 0, 9, 18, 9, 0, 0, 1, 1], [2, 0, 0, 0, 0, 36, 0, 0, 0, 0, 2]} (11, 40, 3) has 37 possible DDs: {[0, 0, 0, 4, 13, 3, 3, 13, 4, 0, 0, 0], [0, 0, 0, 5, 10, 5, 5, 10, 5, 0, 0, 0], [0, 0, 0, 6, 7, 7, 7, 7, 6, 0, 0, 0], [0, 0, 0, 7, 4, 9, 9, 4, 7, 0, 0, 0], [0, 0, 0, 8, 1, 11, 11, 1, 8, 0, 0, 0], [0, 0, 1, 2, 13, 4, 4, 13, 2, 1, 0, 0], [0, 0, 1, 3, 10, 6, 6, 10, 3, 1, 0, 0], [0, 0, 1, 4, 7, 8, 8, 7, 4, 1, 0, 0], [0, 0, 1, 5, 4, 10, 10, 4, 5, 1, 0, 0], [0, 0, 1, 6, 1, 12, 12, 1, 6, 1, 0, 0], [0, 0, 2, 0, 13, 5, 5, 13, 0, 2, 0, 0], [0, 0, 2, 1, 10, 7, 7, 10, 1, 2, 0, 0], [0, 0, 2, 2, 7, 9, 9, 7, 2, 2, 0, 0], [0, 0, 2, 3, 4, 11, 11, 4, 3, 2, 0, 0], [0, 0, 2, 4, 1, 13, 13, 1, 4, 2, 0, 0], [0, 0, 3, 0, 7, 10, 10, 7, 0, 3, 0, 0], [0, 0, 3, 1, 4, 12, 12, 4, 1, 3, 0, 0], [0, 0, 3, 2, 1, 14, 14, 1, 2, 3, 0, 0], [0, 0, 4, 0, 1, 15, 15, 1, 0, 4, 0, 0], [0, 1, 0, 0, 15, 4, 4, 15, 0, 0, 1, 0], [0, 1, 0, 1, 12, 6, 6, 12, 1, 0, 1, 0], [0, 1, 0, 2, 9, 8, 8, 9, 2, 0, 1, 0], [0, 1, 0, 3, 6, 10, 10, 6, 3, 0, 1, 0], [0, 1, 0, 4, 3, 12, 12, 3, 4, 0, 1, 0], [0, 1, 0, 5, 0, 14, 14, 0, 5, 0, 1, 0], [0, 1, 1, 0, 9, 9, 9, 9, 0, 1, 1, 0], [0, 1, 1, 1, 6, 11, 11, 6, 1, 1, 1, 0], [0, 1, 1, 2, 3, 13, 13, 3, 2, 1, 1, 0], [0, 1, 1, 3, 0, 15, 15, 0, 3, 1, 1, 0], [0, 1, 2, 0, 3, 14, 14, 3, 0, 2, 1, 0], [0, 2, 0, 0, 5, 13, 13, 5, 0, 0, 2, 0], [1, 0, 0, 0, 10, 9, 9, 10, 0, 0, 0, 1], [1, 0, 0, 1, 7, 11, 11, 7, 1, 0, 0, 1], [1, 0, 0, 2, 4, 13, 13, 4, 2, 0, 0, 1], [1, 0, 0, 3, 1, 15, 15, 1, 3, 0, 0, 1], [1, 0, 1, 0, 4, 14, 14, 4, 0, 1, 0, 1], [1, 1, 0, 0, 0, 18, 18, 0, 0, 0, 1, 1]} (12, 40, 3) has 79 possible DDs: {[0, 0, 0, 0, 14, 4, 4, 4, 14, 0, 0, 0, 0], [0, 0, 0, 0, 15, 0, 10, 0, 15, 0, 0, 0, 0], [0, 0, 0, 1, 11, 7, 2, 7, 11, 1, 0, 0, 0], [0, 0, 0, 1, 12, 3, 8, 3, 12, 1, 0, 0, 0], [0, 0, 0, 2, 8, 10, 0, 10, 8, 2, 0, 0, 0], [0, 0, 0, 2, 9, 6, 6, 6, 9, 2, 0, 0, 0], [0, 0, 0, 2, 10, 2, 12, 2, 10, 2, 0, 0, 0], [0, 0, 0, 3, 6, 9, 4, 9, 6, 3, 0, 0, 0], [0, 0, 0, 3, 7, 5, 10, 5, 7, 3, 0, 0, 0], [0, 0, 0, 3, 8, 1, 16, 1, 8, 3, 0, 0, 0], [0, 0, 0, 4, 3, 12, 2, 12, 3, 4, 0, 0, 0], [0, 0, 0, 4, 4, 8, 8, 8, 4, 4, 0, 0, 0], [0, 0, 0, 4, 5, 4, 14, 4, 5, 4, 0, 0, 0], [0, 0, 0, 4, 6, 0, 20, 0, 6, 4, 0, 0, 0], [0, 0, 0, 5, 0, 15, 0, 15, 0, 5, 0, 0, 0], [0, 0, 0, 5, 1, 11, 6, 11, 1, 5, 0, 0, 0], [0, 0, 0, 5, 2, 7, 12, 7, 2, 5, 0, 0, 0], [0, 0, 0, 5, 3, 3, 18, 3, 3, 5, 0, 0, 0], [0, 0, 0, 6, 0, 6, 16, 6, 0, 6, 0, 0, 0], [0, 0, 1, 0, 9, 8, 4, 8, 9, 0, 1, 0, 0], [0, 0, 1, 0, 10, 4, 10, 4, 10, 0, 1, 0, 0], [0, 0, 1, 0, 11, 0, 16, 0, 11, 0, 1, 0, 0], [0, 0, 1, 1, 6, 11, 2, 11, 6, 1, 1, 0, 0], [0, 0, 1, 1, 7, 7, 8, 7, 7, 1, 1, 0, 0], [0, 0, 1, 1, 8, 3, 14, 3, 8, 1, 1, 0, 0], [0, 0, 1, 2, 3, 14, 0, 14, 3, 2, 1, 0, 0], [0, 0, 1, 2, 4, 10, 6, 10, 4, 2, 1, 0, 0], [0, 0, 1, 2, 5, 6, 12, 6, 5, 2, 1, 0, 0], [0, 0, 1, 2, 6, 2, 18, 2, 6, 2, 1, 0, 0], [0, 0, 1, 3, 1, 13, 4, 13, 1, 3, 1, 0, 0], [0, 0, 1, 3, 2, 9, 10, 9, 2, 3, 1, 0, 0], [0, 0, 1, 3, 3, 5, 16, 5, 3, 3, 1, 0, 0], [0, 0, 1, 3, 4, 1, 22, 1, 4, 3, 1, 0, 0], [0, 0, 1, 4, 0, 8, 14, 8, 0, 4, 1, 0, 0], [0, 0, 1, 4, 1, 4, 20, 4, 1, 4, 1, 0, 0], [0, 0, 2, 0, 4, 12, 4, 12, 4, 0, 2, 0, 0], [0, 0, 2, 0, 5, 8, 10, 8, 5, 0, 2, 0, 0], [0, 0, 2, 0, 6, 4, 16, 4, 6, 0, 2, 0, 0], [0, 0, 2, 0, 7, 0, 22, 0, 7, 0, 2, 0, 0], [0, 0, 2, 1, 1, 15, 2, 15, 1, 1, 2, 0, 0], [0, 0, 2, 1, 2, 11, 8, 11, 2, 1, 2, 0, 0], [0, 0, 2, 1, 3, 7, 14, 7, 3, 1, 2, 0, 0], [0, 0, 2, 1, 4, 3, 20, 3, 4, 1, 2, 0, 0], [0, 0, 2, 2, 0, 10, 12, 10, 0, 2, 2, 0, 0], [0, 0, 2, 2, 1, 6, 18, 6, 1, 2, 2, 0, 0], [0, 0, 2, 2, 2, 2, 24, 2, 2, 2, 2, 0, 0], [0, 0, 3, 0, 0, 12, 10, 12, 0, 0, 3, 0, 0], [0, 0, 3, 0, 1, 8, 16, 8, 1, 0, 3, 0, 0], [0, 0, 3, 0, 2, 4, 22, 4, 2, 0, 3, 0, 0], [0, 0, 3, 0, 3, 0, 28, 0, 3, 0, 3, 0, 0], [0, 1, 0, 0, 6, 11, 4, 11, 6, 0, 0, 1, 0], [0, 1, 0, 0, 7, 7, 10, 7, 7, 0, 0, 1, 0], [0, 1, 0, 0, 8, 3, 16, 3, 8, 0, 0, 1, 0], [0, 1, 0, 1, 3, 14, 2, 14, 3, 1, 0, 1, 0], [0, 1, 0, 1, 4, 10, 8, 10, 4, 1, 0, 1, 0], [0, 1, 0, 1, 5, 6, 14, 6, 5, 1, 0, 1, 0], [0, 1, 0, 1, 6, 2, 20, 2, 6, 1, 0, 1, 0], [0, 1, 0, 2, 0, 17, 0, 17, 0, 2, 0, 1, 0], [0, 1, 0, 2, 1, 13, 6, 13, 1, 2, 0, 1, 0], [0, 1, 0, 2, 2, 9, 12, 9, 2, 2, 0, 1, 0], [0, 1, 0, 2, 3, 5, 18, 5, 3, 2, 0, 1, 0], [0, 1, 0, 2, 4, 1, 24, 1, 4, 2, 0, 1, 0], [0, 1, 0, 3, 0, 8, 16, 8, 0, 3, 0, 1, 0], [0, 1, 0, 3, 1, 4, 22, 4, 1, 3, 0, 1, 0], [0, 1, 1, 0, 1, 15, 4, 15, 1, 0, 1, 1, 0], [0, 1, 1, 0, 2, 11, 10, 11, 2, 0, 1, 1, 0], [0, 1, 1, 0, 3, 7, 16, 7, 3, 0, 1, 1, 0], [0, 1, 1, 0, 4, 3, 22, 3, 4, 0, 1, 1, 0], [0, 2, 0, 0, 0, 10, 16, 10, 0, 0, 0, 2, 0], [1, 0, 0, 0, 2, 16, 2, 16, 2, 0, 0, 0, 1], [1, 0, 0, 0, 3, 12, 8, 12, 3, 0, 0, 0, 1], [1, 0, 0, 0, 4, 8, 14, 8, 4, 0, 0, 0, 1], [1, 0, 0, 0, 5, 4, 20, 4, 5, 0, 0, 0, 1], [1, 0, 0, 0, 6, 0, 26, 0, 6, 0, 0, 0, 1], [1, 0, 0, 1, 0, 15, 6, 15, 0, 1, 0, 0, 1], [1, 0, 0, 1, 1, 11, 12, 11, 1, 1, 0, 0, 1], [1, 0, 0, 1, 2, 7, 18, 7, 2, 1, 0, 0, 1], [1, 0, 0, 1, 3, 3, 24, 3, 3, 1, 0, 0, 1], [1, 0, 1, 0, 0, 8, 20, 8, 0, 0, 1, 0, 1]} (13, 40, 3) has 55 possible DDs: {[0, 0, 0, 0, 6, 12, 2, 2, 12, 6, 0, 0, 0, 0], [0, 0, 0, 0, 7, 9, 4, 4, 9, 7, 0, 0, 0, 0], [0, 0, 0, 0, 8, 6, 6, 6, 6, 8, 0, 0, 0, 0], [0, 0, 0, 0, 9, 3, 8, 8, 3, 9, 0, 0, 0, 0], [0, 0, 0, 0, 10, 0, 10, 10, 0, 10, 0, 0, 0, 0], [0, 0, 0, 1, 3, 15, 1, 1, 15, 3, 1, 0, 0, 0], [0, 0, 0, 1, 4, 12, 3, 3, 12, 4, 1, 0, 0, 0], [0, 0, 0, 1, 5, 9, 5, 5, 9, 5, 1, 0, 0, 0], [0, 0, 0, 1, 6, 6, 7, 7, 6, 6, 1, 0, 0, 0], [0, 0, 0, 1, 7, 3, 9, 9, 3, 7, 1, 0, 0, 0], [0, 0, 0, 2, 2, 12, 4, 4, 12, 2, 2, 0, 0, 0], [0, 0, 0, 2, 3, 9, 6, 6, 9, 3, 2, 0, 0, 0], [0, 0, 0, 2, 4, 6, 8, 8, 6, 4, 2, 0, 0, 0], [0, 0, 0, 2, 5, 3, 10, 10, 3, 5, 2, 0, 0, 0], [0, 0, 0, 2, 6, 0, 12, 12, 0, 6, 2, 0, 0, 0], [0, 0, 0, 3, 0, 12, 5, 5, 12, 0, 3, 0, 0, 0], [0, 0, 0, 3, 1, 9, 7, 7, 9, 1, 3, 0, 0, 0], [0, 0, 0, 3, 2, 6, 9, 9, 6, 2, 3, 0, 0, 0], [0, 0, 0, 3, 3, 3, 11, 11, 3, 3, 3, 0, 0, 0], [0, 0, 0, 3, 4, 0, 13, 13, 0, 4, 3, 0, 0, 0], [0, 0, 0, 4, 0, 6, 10, 10, 6, 0, 4, 0, 0, 0], [0, 0, 0, 4, 1, 3, 12, 12, 3, 1, 4, 0, 0, 0], [0, 0, 0, 4, 2, 0, 14, 14, 0, 2, 4, 0, 0, 0], [0, 0, 1, 0, 2, 14, 3, 3, 14, 2, 0, 1, 0, 0], [0, 0, 1, 0, 3, 11, 5, 5, 11, 3, 0, 1, 0, 0], [0, 0, 1, 0, 4, 8, 7, 7, 8, 4, 0, 1, 0, 0], [0, 0, 1, 0, 5, 5, 9, 9, 5, 5, 0, 1, 0, 0], [0, 0, 1, 0, 6, 2, 11, 11, 2, 6, 0, 1, 0, 0], [0, 0, 1, 1, 1, 11, 6, 6, 11, 1, 1, 1, 0, 0], [0, 0, 1, 1, 2, 8, 8, 8, 8, 2, 1, 1, 0, 0], [0, 0, 1, 1, 3, 5, 10, 10, 5, 3, 1, 1, 0, 0], [0, 0, 1, 1, 4, 2, 12, 12, 2, 4, 1, 1, 0, 0], [0, 0, 1, 2, 0, 8, 9, 9, 8, 0, 2, 1, 0, 0], [0, 0, 1, 2, 1, 5, 11, 11, 5, 1, 2, 1, 0, 0], [0, 0, 1, 2, 2, 2, 13, 13, 2, 2, 2, 1, 0, 0], [0, 0, 1, 3, 0, 2, 14, 14, 2, 0, 3, 1, 0, 0], [0, 0, 2, 0, 0, 10, 8, 8, 10, 0, 0, 2, 0, 0], [0, 0, 2, 0, 1, 7, 10, 10, 7, 1, 0, 2, 0, 0], [0, 0, 2, 0, 2, 4, 12, 12, 4, 2, 0, 2, 0, 0], [0, 0, 2, 0, 3, 1, 14, 14, 1, 3, 0, 2, 0, 0], [0, 1, 0, 0, 0, 15, 4, 4, 15, 0, 0, 0, 1, 0], [0, 1, 0, 0, 1, 12, 6, 6, 12, 1, 0, 0, 1, 0], [0, 1, 0, 0, 2, 9, 8, 8, 9, 2, 0, 0, 1, 0], [0, 1, 0, 0, 3, 6, 10, 10, 6, 3, 0, 0, 1, 0], [0, 1, 0, 0, 4, 3, 12, 12, 3, 4, 0, 0, 1, 0], [0, 1, 0, 1, 0, 9, 9, 9, 9, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 6, 11, 11, 6, 1, 1, 0, 1, 0], [0, 1, 0, 1, 2, 3, 13, 13, 3, 2, 1, 0, 1, 0], [0, 1, 0, 1, 3, 0, 15, 15, 0, 3, 1, 0, 1, 0], [0, 1, 1, 0, 0, 5, 13, 13, 5, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 9, 10, 10, 9, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 6, 12, 12, 6, 1, 0, 0, 0, 1], [1, 0, 0, 0, 2, 3, 14, 14, 3, 2, 0, 0, 0, 1], [1, 0, 0, 0, 3, 0, 16, 16, 0, 3, 0, 0, 0, 1], [1, 0, 0, 1, 0, 3, 15, 15, 3, 0, 1, 0, 0, 1]} (14, 40, 3) has 91 possible DDs: {[0, 0, 0, 0, 1, 14, 5, 0, 5, 14, 1, 0, 0, 0, 0], [0, 0, 0, 0, 2, 12, 4, 4, 4, 12, 2, 0, 0, 0, 0], [0, 0, 0, 0, 3, 9, 7, 2, 7, 9, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 10, 3, 8, 3, 10, 3, 0, 0, 0, 0], [0, 0, 0, 0, 4, 6, 10, 0, 10, 6, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 7, 6, 6, 6, 7, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 8, 2, 12, 2, 8, 4, 0, 0, 0, 0], [0, 0, 0, 0, 5, 4, 9, 4, 9, 4, 5, 0, 0, 0, 0], [0, 0, 0, 0, 5, 5, 5, 10, 5, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 5, 6, 1, 16, 1, 6, 5, 0, 0, 0, 0], [0, 0, 0, 0, 6, 2, 8, 8, 8, 2, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 3, 4, 14, 4, 3, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 4, 0, 20, 0, 4, 6, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 7, 12, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 7, 1, 3, 18, 3, 1, 7, 0, 0, 0, 0], [0, 0, 0, 1, 0, 12, 6, 2, 6, 12, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1, 9, 9, 0, 9, 9, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 10, 5, 6, 5, 10, 1, 1, 0, 0, 0], [0, 0, 0, 1, 2, 7, 8, 4, 8, 7, 2, 1, 0, 0, 0], [0, 0, 0, 1, 2, 8, 4, 10, 4, 8, 2, 1, 0, 0, 0], [0, 0, 0, 1, 3, 4, 11, 2, 11, 4, 3, 1, 0, 0, 0], [0, 0, 0, 1, 3, 5, 7, 8, 7, 5, 3, 1, 0, 0, 0], [0, 0, 0, 1, 3, 6, 3, 14, 3, 6, 3, 1, 0, 0, 0], [0, 0, 0, 1, 4, 2, 10, 6, 10, 2, 4, 1, 0, 0, 0], [0, 0, 0, 1, 4, 3, 6, 12, 6, 3, 4, 1, 0, 0, 0], [0, 0, 0, 1, 4, 4, 2, 18, 2, 4, 4, 1, 0, 0, 0], [0, 0, 0, 1, 5, 0, 9, 10, 9, 0, 5, 1, 0, 0, 0], [0, 0, 0, 1, 5, 1, 5, 16, 5, 1, 5, 1, 0, 0, 0], [0, 0, 0, 1, 5, 2, 1, 22, 1, 2, 5, 1, 0, 0, 0], [0, 0, 0, 2, 0, 7, 10, 2, 10, 7, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 8, 6, 8, 6, 8, 0, 2, 0, 0, 0], [0, 0, 0, 2, 1, 4, 13, 0, 13, 4, 1, 2, 0, 0, 0], [0, 0, 0, 2, 1, 5, 9, 6, 9, 5, 1, 2, 0, 0, 0], [0, 0, 0, 2, 1, 6, 5, 12, 5, 6, 1, 2, 0, 0, 0], [0, 0, 0, 2, 2, 2, 12, 4, 12, 2, 2, 2, 0, 0, 0], [0, 0, 0, 2, 2, 3, 8, 10, 8, 3, 2, 2, 0, 0, 0], [0, 0, 0, 2, 2, 4, 4, 16, 4, 4, 2, 2, 0, 0, 0], [0, 0, 0, 2, 3, 0, 11, 8, 11, 0, 3, 2, 0, 0, 0], [0, 0, 0, 2, 3, 1, 7, 14, 7, 1, 3, 2, 0, 0, 0], [0, 0, 0, 2, 3, 2, 3, 20, 3, 2, 3, 2, 0, 0, 0], [0, 0, 0, 3, 0, 2, 14, 2, 14, 2, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 3, 10, 8, 10, 3, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 4, 6, 14, 6, 4, 0, 3, 0, 0, 0], [0, 0, 0, 3, 1, 0, 13, 6, 13, 0, 1, 3, 0, 0, 0], [0, 0, 0, 3, 1, 1, 9, 12, 9, 1, 1, 3, 0, 0, 0], [0, 0, 0, 3, 1, 2, 5, 18, 5, 2, 1, 3, 0, 0, 0], [0, 0, 0, 4, 0, 0, 6, 20, 6, 0, 0, 4, 0, 0, 0], [0, 0, 1, 0, 0, 9, 9, 2, 9, 9, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 10, 5, 8, 5, 10, 0, 0, 1, 0, 0], [0, 0, 1, 0, 1, 6, 12, 0, 12, 6, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 7, 8, 6, 8, 7, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 8, 4, 12, 4, 8, 1, 0, 1, 0, 0], [0, 0, 1, 0, 2, 4, 11, 4, 11, 4, 2, 0, 1, 0, 0], [0, 0, 1, 0, 2, 5, 7, 10, 7, 5, 2, 0, 1, 0, 0], [0, 0, 1, 0, 2, 6, 3, 16, 3, 6, 2, 0, 1, 0, 0], [0, 0, 1, 0, 3, 2, 10, 8, 10, 2, 3, 0, 1, 0, 0], [0, 0, 1, 0, 3, 3, 6, 14, 6, 3, 3, 0, 1, 0, 0], [0, 0, 1, 0, 3, 4, 2, 20, 2, 4, 3, 0, 1, 0, 0], [0, 0, 1, 0, 4, 0, 9, 12, 9, 0, 4, 0, 1, 0, 0], [0, 0, 1, 0, 4, 1, 5, 18, 5, 1, 4, 0, 1, 0, 0], [0, 0, 1, 1, 0, 4, 13, 2, 13, 4, 0, 1, 1, 0, 0], [0, 0, 1, 1, 0, 5, 9, 8, 9, 5, 0, 1, 1, 0, 0], [0, 0, 1, 1, 0, 6, 5, 14, 5, 6, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 2, 12, 6, 12, 2, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 3, 8, 12, 8, 3, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 4, 4, 18, 4, 4, 1, 1, 1, 0, 0], [0, 0, 1, 1, 2, 0, 11, 10, 11, 0, 2, 1, 1, 0, 0], [0, 0, 1, 1, 2, 1, 7, 16, 7, 1, 2, 1, 1, 0, 0], [0, 0, 1, 1, 2, 2, 3, 22, 3, 2, 2, 1, 1, 0, 0], [0, 0, 2, 0, 0, 2, 12, 8, 12, 2, 0, 0, 2, 0, 0], [0, 0, 2, 0, 0, 3, 8, 14, 8, 3, 0, 0, 2, 0, 0], [0, 0, 2, 0, 0, 4, 4, 20, 4, 4, 0, 0, 2, 0, 0], [0, 1, 0, 0, 0, 5, 14, 0, 14, 5, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 6, 10, 6, 10, 6, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 7, 6, 12, 6, 7, 0, 0, 0, 1, 0], [0, 1, 0, 0, 1, 3, 13, 4, 13, 3, 1, 0, 0, 1, 0], [0, 1, 0, 0, 1, 4, 9, 10, 9, 4, 1, 0, 0, 1, 0], [0, 1, 0, 0, 1, 5, 5, 16, 5, 5, 1, 0, 0, 1, 0], [0, 1, 0, 0, 2, 1, 12, 8, 12, 1, 2, 0, 0, 1, 0], [0, 1, 0, 0, 2, 2, 8, 14, 8, 2, 2, 0, 0, 1, 0], [0, 1, 0, 0, 2, 3, 4, 20, 4, 3, 2, 0, 0, 1, 0], [0, 1, 0, 0, 3, 0, 7, 18, 7, 0, 3, 0, 0, 1, 0], [0, 1, 0, 1, 0, 1, 14, 6, 14, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 0, 2, 10, 12, 10, 2, 0, 1, 0, 1, 0], [0, 1, 0, 1, 0, 3, 6, 18, 6, 3, 0, 1, 0, 1, 0], [1, 0, 0, 0, 0, 2, 13, 8, 13, 2, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 3, 9, 14, 9, 3, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 4, 5, 20, 5, 4, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 12, 12, 12, 0, 1, 0, 0, 0, 1], [1, 0, 0, 0, 1, 1, 8, 18, 8, 1, 1, 0, 0, 0, 1], [1, 0, 0, 0, 1, 2, 4, 24, 4, 2, 1, 0, 0, 0, 1]} (15, 40, 3) has 80 possible DDs: {[0, 0, 0, 0, 0, 9, 8, 3, 3, 8, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 10, 5, 5, 5, 5, 10, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 11, 2, 7, 7, 2, 11, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 6, 11, 2, 2, 11, 6, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 7, 8, 4, 4, 8, 7, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 8, 5, 6, 6, 5, 8, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 9, 2, 8, 8, 2, 9, 1, 0, 0, 0, 0], [0, 0, 0, 0, 2, 3, 14, 1, 1, 14, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 4, 11, 3, 3, 11, 4, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 5, 8, 5, 5, 8, 5, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 6, 5, 7, 7, 5, 6, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 7, 2, 9, 9, 2, 7, 2, 0, 0, 0, 0], [0, 0, 0, 0, 3, 2, 11, 4, 4, 11, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 8, 6, 6, 8, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 4, 5, 8, 8, 5, 4, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 5, 2, 10, 10, 2, 5, 3, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 11, 5, 5, 11, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 1, 8, 7, 7, 8, 1, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 2, 5, 9, 9, 5, 2, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 3, 2, 11, 11, 2, 3, 4, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 5, 10, 10, 5, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 5, 1, 2, 12, 12, 2, 1, 5, 0, 0, 0, 0], [0, 0, 0, 1, 0, 3, 16, 0, 0, 16, 3, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 4, 13, 2, 2, 13, 4, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 5, 10, 4, 4, 10, 5, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 6, 7, 6, 6, 7, 6, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 7, 4, 8, 8, 4, 7, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 8, 1, 10, 10, 1, 8, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1, 2, 13, 3, 3, 13, 2, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 3, 10, 5, 5, 10, 3, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 4, 7, 7, 7, 7, 4, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 5, 4, 9, 9, 4, 5, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 6, 1, 11, 11, 1, 6, 1, 1, 0, 0, 0], [0, 0, 0, 1, 2, 0, 13, 4, 4, 13, 0, 2, 1, 0, 0, 0], [0, 0, 0, 1, 2, 1, 10, 6, 6, 10, 1, 2, 1, 0, 0, 0], [0, 0, 0, 1, 2, 2, 7, 8, 8, 7, 2, 2, 1, 0, 0, 0], [0, 0, 0, 1, 2, 3, 4, 10, 10, 4, 3, 2, 1, 0, 0, 0], [0, 0, 0, 1, 2, 4, 1, 12, 12, 1, 4, 2, 1, 0, 0, 0], [0, 0, 0, 1, 3, 0, 7, 9, 9, 7, 0, 3, 1, 0, 0, 0], [0, 0, 0, 1, 3, 1, 4, 11, 11, 4, 1, 3, 1, 0, 0, 0], [0, 0, 0, 1, 3, 2, 1, 13, 13, 1, 2, 3, 1, 0, 0, 0], [0, 0, 0, 2, 0, 1, 12, 5, 5, 12, 1, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 9, 7, 7, 9, 2, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 3, 6, 9, 9, 6, 3, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 4, 3, 11, 11, 3, 4, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 5, 0, 13, 13, 0, 5, 0, 2, 0, 0, 0], [0, 0, 0, 2, 1, 0, 9, 8, 8, 9, 0, 1, 2, 0, 0, 0], [0, 0, 0, 2, 1, 1, 6, 10, 10, 6, 1, 1, 2, 0, 0, 0], [0, 0, 0, 2, 1, 2, 3, 12, 12, 3, 2, 1, 2, 0, 0, 0], [0, 0, 0, 2, 1, 3, 0, 14, 14, 0, 3, 1, 2, 0, 0, 0], [0, 0, 0, 2, 2, 0, 3, 13, 13, 3, 0, 2, 2, 0, 0, 0], [0, 0, 1, 0, 0, 2, 14, 3, 3, 14, 2, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 3, 11, 5, 5, 11, 3, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 4, 8, 7, 7, 8, 4, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 5, 5, 9, 9, 5, 5, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 6, 2, 11, 11, 2, 6, 0, 0, 1, 0, 0], [0, 0, 1, 0, 1, 0, 14, 4, 4, 14, 0, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 1, 11, 6, 6, 11, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 2, 8, 8, 8, 8, 2, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 3, 5, 10, 10, 5, 3, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 4, 2, 12, 12, 2, 4, 1, 0, 1, 0, 0], [0, 0, 1, 0, 2, 0, 8, 9, 9, 8, 0, 2, 0, 1, 0, 0], [0, 0, 1, 0, 2, 1, 5, 11, 11, 5, 1, 2, 0, 1, 0, 0], [0, 0, 1, 0, 2, 2, 2, 13, 13, 2, 2, 2, 0, 1, 0, 0], [0, 0, 1, 0, 3, 0, 2, 14, 14, 2, 0, 3, 0, 1, 0, 0], [0, 0, 1, 1, 0, 0, 10, 8, 8, 10, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 0, 1, 7, 10, 10, 7, 1, 0, 1, 1, 0, 0], [0, 0, 1, 1, 0, 2, 4, 12, 12, 4, 2, 0, 1, 1, 0, 0], [0, 0, 1, 1, 0, 3, 1, 14, 14, 1, 3, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 14, 5, 5, 14, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 1, 11, 7, 7, 11, 1, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 2, 8, 9, 9, 8, 2, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 3, 5, 11, 11, 5, 3, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 4, 2, 13, 13, 2, 4, 0, 0, 0, 1, 0], [0, 1, 0, 0, 1, 0, 8, 10, 10, 8, 0, 1, 0, 0, 1, 0], [0, 1, 0, 0, 1, 1, 5, 12, 12, 5, 1, 1, 0, 0, 1, 0], [0, 1, 0, 0, 1, 2, 2, 14, 14, 2, 2, 1, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 7, 12, 12, 7, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 1, 4, 14, 14, 4, 1, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 2, 1, 16, 16, 1, 2, 0, 0, 0, 0, 1]} (16, 40, 3) has 137 possible DDs: {[0, 0, 0, 0, 0, 3, 12, 5, 0, 5, 12, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 13, 1, 6, 1, 13, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 10, 4, 4, 4, 10, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 7, 7, 2, 7, 7, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 8, 3, 8, 3, 8, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 4, 10, 0, 10, 4, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 5, 6, 6, 6, 5, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 2, 12, 2, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 2, 9, 4, 9, 2, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 3, 5, 10, 5, 3, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 4, 1, 16, 1, 4, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 1, 4, 14, 4, 1, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 15, 4, 0, 4, 15, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 13, 3, 4, 3, 13, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 10, 6, 2, 6, 10, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 11, 2, 8, 2, 11, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 3, 7, 9, 0, 9, 7, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 3, 8, 5, 6, 5, 8, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 3, 9, 1, 12, 1, 9, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 4, 5, 8, 4, 8, 5, 4, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 4, 6, 4, 10, 4, 6, 4, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 5, 2, 11, 2, 11, 2, 5, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 5, 3, 7, 8, 7, 3, 5, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 5, 4, 3, 14, 3, 4, 5, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 6, 0, 10, 6, 10, 0, 6, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 6, 1, 6, 12, 6, 1, 6, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 6, 2, 2, 18, 2, 2, 6, 1, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 10, 8, 0, 8, 10, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 11, 4, 6, 4, 11, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 1, 8, 7, 4, 7, 8, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 1, 9, 3, 10, 3, 9, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 5, 10, 2, 10, 5, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 6, 6, 8, 6, 6, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 7, 2, 14, 2, 7, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 3, 2, 13, 0, 13, 2, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 3, 3, 9, 6, 9, 3, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 3, 4, 5, 12, 5, 4, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 3, 5, 1, 18, 1, 5, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 4, 0, 12, 4, 12, 0, 4, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 4, 1, 8, 10, 8, 1, 4, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 4, 2, 4, 16, 4, 2, 4, 2, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 5, 12, 0, 12, 5, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 6, 8, 6, 8, 6, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 7, 4, 12, 4, 7, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 1, 3, 11, 4, 11, 3, 1, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 1, 4, 7, 10, 7, 4, 1, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 1, 5, 3, 16, 3, 5, 1, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 2, 1, 10, 8, 10, 1, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 2, 2, 6, 14, 6, 2, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 2, 3, 2, 20, 2, 3, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 0, 5, 18, 5, 0, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 16, 0, 16, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 1, 12, 6, 12, 1, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 2, 8, 12, 8, 2, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 3, 4, 18, 4, 3, 0, 4, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 12, 7, 0, 7, 12, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 13, 3, 6, 3, 13, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1, 10, 6, 4, 6, 10, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1, 11, 2, 10, 2, 11, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 2, 7, 9, 2, 9, 7, 2, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 2, 8, 5, 8, 5, 8, 2, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 3, 4, 12, 0, 12, 4, 3, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 3, 5, 8, 6, 8, 5, 3, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 3, 6, 4, 12, 4, 6, 3, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 3, 7, 0, 18, 0, 7, 3, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 4, 2, 11, 4, 11, 2, 4, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 4, 3, 7, 10, 7, 3, 4, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 4, 4, 3, 16, 3, 4, 4, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 5, 0, 10, 8, 10, 0, 5, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 5, 1, 6, 14, 6, 1, 5, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 5, 2, 2, 20, 2, 2, 5, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1, 0, 7, 11, 0, 11, 7, 0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 0, 8, 7, 6, 7, 8, 0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 0, 9, 3, 12, 3, 9, 0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 5, 10, 4, 10, 5, 1, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 6, 6, 10, 6, 6, 1, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 7, 2, 16, 2, 7, 1, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 2, 2, 13, 2, 13, 2, 2, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 2, 3, 9, 8, 9, 3, 2, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 2, 4, 5, 14, 5, 4, 2, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 3, 0, 12, 6, 12, 0, 3, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 3, 1, 8, 12, 8, 1, 3, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 3, 2, 4, 18, 4, 2, 3, 1, 1, 0, 0, 0], [0, 0, 0, 1, 2, 0, 3, 11, 6, 11, 3, 0, 2, 1, 0, 0, 0], [0, 0, 0, 1, 2, 0, 4, 7, 12, 7, 4, 0, 2, 1, 0, 0, 0], [0, 0, 0, 1, 2, 0, 5, 3, 18, 3, 5, 0, 2, 1, 0, 0, 0], [0, 0, 0, 1, 2, 1, 0, 14, 4, 14, 0, 1, 2, 1, 0, 0, 0], [0, 0, 0, 1, 2, 1, 1, 10, 10, 10, 1, 1, 2, 1, 0, 0, 0], [0, 0, 0, 1, 2, 1, 2, 6, 16, 6, 2, 1, 2, 1, 0, 0, 0], [0, 0, 0, 1, 2, 1, 3, 2, 22, 2, 3, 1, 2, 1, 0, 0, 0], [0, 0, 0, 1, 3, 0, 0, 7, 18, 7, 0, 0, 3, 1, 0, 0, 0], [0, 0, 0, 2, 0, 0, 4, 14, 0, 14, 4, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0, 5, 10, 6, 10, 5, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0, 6, 6, 12, 6, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 1, 2, 13, 4, 13, 2, 1, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 1, 3, 9, 10, 9, 3, 1, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 1, 4, 5, 16, 5, 4, 1, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 0, 12, 8, 12, 0, 2, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 1, 8, 14, 8, 1, 2, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 4, 20, 4, 2, 2, 0, 2, 0, 0, 0], [0, 0, 1, 0, 0, 0, 9, 8, 4, 8, 9, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 10, 4, 10, 4, 10, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 6, 11, 2, 11, 6, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 7, 7, 8, 7, 7, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 8, 3, 14, 3, 8, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 2, 3, 14, 0, 14, 3, 2, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 2, 4, 10, 6, 10, 4, 2, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 2, 5, 6, 12, 6, 5, 2, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 2, 6, 2, 18, 2, 6, 2, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 3, 1, 13, 4, 13, 1, 3, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 3, 2, 9, 10, 9, 2, 3, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 3, 3, 5, 16, 5, 3, 3, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 4, 0, 8, 14, 8, 0, 4, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 4, 1, 4, 20, 4, 1, 4, 0, 0, 1, 0, 0], [0, 0, 1, 0, 1, 0, 4, 12, 4, 12, 4, 0, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 0, 5, 8, 10, 8, 5, 0, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 0, 6, 4, 16, 4, 6, 0, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 1, 2, 11, 8, 11, 2, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 1, 3, 7, 14, 7, 3, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 1, 4, 3, 20, 3, 4, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 2, 0, 10, 12, 10, 0, 2, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 2, 1, 6, 18, 6, 1, 2, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 2, 2, 2, 24, 2, 2, 2, 1, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 4, 15, 0, 15, 4, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 5, 11, 6, 11, 5, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 6, 7, 12, 7, 6, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 7, 3, 18, 3, 7, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 1, 2, 14, 4, 14, 2, 1, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 1, 3, 10, 10, 10, 3, 1, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 1, 4, 6, 16, 6, 4, 1, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 2, 0, 13, 8, 13, 0, 2, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 2, 1, 9, 14, 9, 1, 2, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 16, 6, 16, 0, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 12, 12, 12, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 2, 8, 18, 8, 2, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 3, 4, 24, 4, 3, 0, 0, 0, 0, 0, 1]} (17, 40, 3) has 102 possible DDs: {[0, 0, 0, 0, 0, 0, 12, 4, 4, 4, 4, 12, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 9, 7, 3, 3, 7, 9, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 10, 4, 5, 5, 4, 10, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 6, 10, 2, 2, 10, 6, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 7, 7, 4, 4, 7, 7, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 8, 4, 6, 6, 4, 8, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 9, 1, 8, 8, 1, 9, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 13, 1, 1, 13, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 4, 10, 3, 3, 10, 4, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 5, 7, 5, 5, 7, 5, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 6, 4, 7, 7, 4, 6, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 7, 1, 9, 9, 1, 7, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 16, 0, 0, 16, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 2, 10, 4, 4, 10, 2, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 3, 7, 6, 6, 7, 3, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 4, 8, 8, 4, 4, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 5, 1, 10, 10, 1, 5, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 10, 5, 5, 10, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 1, 7, 7, 7, 7, 1, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 2, 4, 9, 9, 4, 2, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 3, 1, 11, 11, 1, 3, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 4, 10, 10, 4, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 6, 12, 1, 1, 12, 6, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 7, 9, 3, 3, 9, 7, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 8, 6, 5, 5, 6, 8, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 9, 3, 7, 7, 3, 9, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 10, 0, 9, 9, 0, 10, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 4, 12, 2, 2, 12, 4, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 5, 9, 4, 4, 9, 5, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 6, 6, 6, 6, 6, 6, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 7, 3, 8, 8, 3, 7, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 12, 3, 3, 12, 2, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 3, 9, 5, 5, 9, 3, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 4, 6, 7, 7, 6, 4, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 5, 3, 9, 9, 3, 5, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 6, 0, 11, 11, 0, 6, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 3, 1, 9, 6, 6, 9, 1, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 3, 2, 6, 8, 8, 6, 2, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 3, 3, 3, 10, 10, 3, 3, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 3, 4, 0, 12, 12, 0, 4, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 4, 0, 6, 9, 9, 6, 0, 4, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 4, 1, 3, 11, 11, 3, 1, 4, 1, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 2, 14, 2, 2, 14, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 3, 11, 4, 4, 11, 3, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 4, 8, 6, 6, 8, 4, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 5, 5, 8, 8, 5, 5, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 6, 2, 10, 10, 2, 6, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 1, 0, 14, 3, 3, 14, 0, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 1, 1, 11, 5, 5, 11, 1, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 1, 2, 8, 7, 7, 8, 2, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 1, 3, 5, 9, 9, 5, 3, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 1, 4, 2, 11, 11, 2, 4, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 0, 8, 8, 8, 8, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 1, 5, 10, 10, 5, 1, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 12, 12, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 10, 7, 7, 10, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 1, 7, 9, 9, 7, 1, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 2, 4, 11, 11, 4, 2, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 3, 1, 13, 13, 1, 3, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 1, 0, 4, 12, 12, 4, 0, 1, 3, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 16, 16, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 4, 13, 2, 2, 13, 4, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 5, 10, 4, 4, 10, 5, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 6, 7, 6, 6, 7, 6, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 7, 4, 8, 8, 4, 7, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1, 2, 13, 3, 3, 13, 2, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1, 3, 10, 5, 5, 10, 3, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1, 4, 7, 7, 7, 7, 4, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1, 5, 4, 9, 9, 4, 5, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1, 6, 1, 11, 11, 1, 6, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 2, 0, 13, 4, 4, 13, 0, 2, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 2, 1, 10, 6, 6, 10, 1, 2, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 2, 2, 7, 8, 8, 7, 2, 2, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 2, 3, 4, 10, 10, 4, 3, 2, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 2, 4, 1, 12, 12, 1, 4, 2, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 3, 0, 7, 9, 9, 7, 0, 3, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 3, 1, 4, 11, 11, 4, 1, 3, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 3, 2, 1, 13, 13, 1, 2, 3, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1, 0, 1, 12, 5, 5, 12, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 0, 2, 9, 7, 7, 9, 2, 0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 0, 3, 6, 9, 9, 6, 3, 0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 0, 4, 3, 11, 11, 3, 4, 0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 9, 8, 8, 9, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 6, 10, 10, 6, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 2, 3, 12, 12, 3, 2, 1, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 3, 0, 14, 14, 0, 3, 1, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 2, 0, 3, 13, 13, 3, 0, 2, 1, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 3, 10, 6, 6, 10, 3, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 4, 7, 8, 8, 7, 4, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 5, 4, 10, 10, 4, 5, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 6, 1, 12, 12, 1, 6, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 1, 10, 7, 7, 10, 1, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 2, 7, 9, 9, 7, 2, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 3, 4, 11, 11, 4, 3, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 4, 1, 13, 13, 1, 4, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 2, 0, 7, 10, 10, 7, 0, 2, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 2, 1, 4, 12, 12, 4, 1, 2, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 12, 7, 7, 12, 0, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 1, 9, 9, 9, 9, 1, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 2, 6, 11, 11, 6, 2, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 3, 3, 13, 13, 3, 3, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 4, 15, 15, 4, 0, 0, 0, 0, 0, 0, 1]} (18, 40, 3) has 58 possible DDs: {[0, 0, 0, 0, 0, 0, 5, 10, 5, 0, 5, 10, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 8, 4, 4, 4, 8, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 6, 3, 8, 3, 6, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 4, 2, 12, 2, 4, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 4, 8, 6, 2, 6, 8, 4, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 5, 6, 5, 6, 5, 6, 5, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 6, 4, 4, 10, 4, 4, 6, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 2, 3, 14, 3, 2, 7, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 8, 8, 0, 8, 8, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 6, 7, 4, 7, 6, 3, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 4, 4, 6, 8, 6, 4, 4, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 5, 2, 5, 12, 5, 2, 5, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 6, 0, 4, 16, 4, 0, 6, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 1, 6, 9, 2, 9, 6, 1, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 2, 4, 8, 6, 8, 4, 2, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 2, 7, 10, 7, 2, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 4, 10, 4, 10, 4, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 1, 2, 9, 8, 9, 2, 1, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 2, 0, 8, 12, 8, 0, 2, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 2, 10, 7, 0, 7, 10, 2, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 3, 8, 6, 4, 6, 8, 3, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 4, 6, 5, 8, 5, 6, 4, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 5, 4, 4, 12, 4, 4, 5, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 6, 2, 3, 16, 3, 2, 6, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 8, 8, 2, 8, 8, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 2, 6, 7, 6, 7, 6, 2, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 3, 4, 6, 10, 6, 4, 3, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 4, 2, 5, 14, 5, 2, 4, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 0, 6, 9, 4, 9, 6, 0, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 1, 4, 8, 8, 8, 4, 1, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 2, 2, 7, 12, 7, 2, 2, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 3, 0, 6, 16, 6, 0, 3, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 3, 0, 2, 9, 10, 9, 2, 0, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 8, 8, 4, 8, 8, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 1, 6, 7, 8, 7, 6, 1, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 2, 4, 6, 12, 6, 4, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 3, 2, 5, 16, 5, 2, 3, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 4, 0, 4, 20, 4, 0, 4, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 1, 0, 4, 8, 10, 8, 4, 0, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 1, 1, 2, 7, 14, 7, 2, 1, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0, 8, 16, 8, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 1, 9, 9, 0, 9, 9, 1, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 2, 7, 8, 4, 8, 7, 2, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 3, 5, 7, 8, 7, 5, 3, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 4, 3, 6, 12, 6, 3, 4, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 5, 1, 5, 16, 5, 1, 5, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1, 0, 7, 10, 2, 10, 7, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1, 1, 5, 9, 6, 9, 5, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1, 2, 3, 8, 10, 8, 3, 2, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1, 3, 1, 7, 14, 7, 1, 3, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 2, 0, 3, 10, 8, 10, 3, 0, 2, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 2, 1, 1, 9, 12, 9, 1, 1, 2, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 8, 9, 4, 9, 8, 0, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 6, 8, 8, 8, 6, 1, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 2, 4, 7, 12, 7, 4, 2, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 3, 2, 6, 16, 6, 2, 3, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 4, 10, 10, 10, 4, 0, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 9, 20, 9, 0, 0, 0, 0, 0, 0, 0, 1]} (19, 40, 3) has 29 possible DDs: {[0, 0, 0, 0, 0, 0, 3, 7, 6, 4, 4, 6, 7, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 6, 3, 7, 7, 3, 6, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 10, 10, 0, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 6, 11, 1, 1, 11, 6, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 2, 5, 8, 4, 4, 8, 5, 2, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 3, 4, 5, 7, 7, 5, 4, 3, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 4, 3, 2, 10, 10, 2, 3, 4, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 13, 1, 1, 13, 4, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 1, 3, 10, 4, 4, 10, 3, 1, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 7, 7, 7, 7, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 1, 4, 10, 10, 4, 1, 3, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 1, 12, 4, 4, 12, 1, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 1, 0, 9, 7, 7, 9, 0, 1, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 7, 9, 3, 3, 9, 7, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 1, 6, 6, 6, 6, 6, 6, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 2, 5, 3, 9, 9, 3, 5, 2, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 3, 4, 0, 12, 12, 0, 4, 3, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 4, 8, 6, 6, 8, 4, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 3, 5, 9, 9, 5, 3, 1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 2, 2, 2, 12, 12, 2, 2, 2, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 0, 1, 7, 9, 9, 7, 1, 0, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 1, 0, 4, 12, 12, 4, 0, 1, 2, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 4, 12, 3, 3, 12, 4, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 1, 3, 9, 6, 6, 9, 3, 1, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 2, 2, 6, 9, 9, 6, 2, 2, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 3, 1, 3, 12, 12, 3, 1, 3, 0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 4, 5, 10, 10, 5, 4, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 9, 10, 10, 9, 0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 19, 19, 0, 0, 0, 0, 0, 0, 0, 0, 1]} (20, 40, 3) has 15 possible DDs: {[0, 0, 0, 0, 0, 0, 0, 10, 0, 10, 0, 10, 0, 10, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 13, 0, 8, 0, 13, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 9, 0, 14, 0, 9, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 20, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 7, 0, 12, 0, 12, 0, 7, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 14, 0, 14, 0, 4, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 1, 0, 16, 0, 16, 0, 1, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 16, 0, 6, 0, 16, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 1, 0, 12, 0, 12, 0, 12, 0, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 2, 0, 8, 0, 18, 0, 8, 0, 2, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 3, 0, 4, 0, 24, 0, 4, 0, 3, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 4, 0, 15, 0, 15, 0, 4, 0, 0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 9, 0, 20, 0, 9, 0, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 19, 0, 19, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]}