------- (15, 16, 2) ALL distance distributions (2, 16, 2) has 1 possible DDs: {[4, 8, 4]} (3, 16, 2) has 5 possible DDs: {[0, 12, 0, 4], [1, 9, 3, 3], [2, 6, 6, 2], [3, 3, 9, 1], [4, 0, 12, 0]} (4, 16, 2) has 9 possible DDs: {[0, 6, 6, 2, 2], [0, 7, 3, 5, 1], [0, 8, 0, 8, 0], [1, 3, 9, 1, 2], [1, 4, 6, 4, 1], [1, 5, 3, 7, 0], [2, 0, 12, 0, 2], [2, 1, 9, 3, 1], [2, 2, 6, 6, 0]} (5, 16, 2) has 18 possible DDs: {[0, 1, 11, 1, 1, 2], [0, 2, 8, 4, 0, 2], [0, 2, 9, 1, 3, 1], [0, 3, 6, 4, 2, 1], [0, 3, 7, 1, 5, 0], [0, 4, 3, 7, 1, 1], [0, 4, 4, 4, 4, 0], [0, 5, 0, 10, 0, 1], [0, 5, 1, 7, 3, 0], [1, 0, 9, 3, 2, 1], [1, 0, 10, 0, 5, 0], [1, 1, 6, 6, 1, 1], [1, 1, 7, 3, 4, 0], [1, 2, 3, 9, 0, 1], [1, 2, 4, 6, 3, 0], [1, 3, 1, 9, 2, 0], [2, 0, 4, 8, 2, 0], [2, 1, 1, 11, 1, 0]} (6, 16, 2) has 33 possible DDs: {[0, 0, 6, 8, 0, 0, 2], [0, 0, 7, 6, 0, 2, 1], [0, 0, 8, 3, 3, 1, 1], [0, 0, 8, 4, 0, 4, 0], [0, 0, 9, 0, 6, 0, 1], [0, 0, 9, 1, 3, 3, 0], [0, 1, 5, 6, 2, 1, 1], [0, 1, 6, 3, 5, 0, 1], [0, 1, 6, 4, 2, 3, 0], [0, 1, 7, 1, 5, 2, 0], [0, 2, 2, 9, 1, 1, 1], [0, 2, 3, 6, 4, 0, 1], [0, 2, 3, 7, 1, 3, 0], [0, 2, 4, 4, 4, 2, 0], [0, 2, 5, 1, 7, 1, 0], [0, 3, 0, 9, 3, 0, 1], [0, 3, 0, 10, 0, 3, 0], [0, 3, 1, 7, 3, 2, 0], [0, 3, 2, 4, 6, 1, 0], [0, 3, 3, 1, 9, 0, 0], [0, 4, 0, 4, 8, 0, 0], [1, 0, 2, 11, 0, 1, 1], [1, 0, 3, 8, 3, 0, 1], [1, 0, 3, 9, 0, 3, 0], [1, 0, 4, 6, 3, 2, 0], [1, 0, 5, 3, 6, 1, 0], [1, 0, 6, 0, 9, 0, 0], [1, 1, 0, 11, 2, 0, 1], [1, 1, 1, 9, 2, 2, 0], [1, 1, 2, 6, 5, 1, 0], [1, 1, 3, 3, 8, 0, 0], [1, 2, 0, 6, 7, 0, 0], [2, 0, 0, 8, 6, 0, 0]} (7, 16, 2) has 50 possible DDs: {[0, 0, 0, 14, 0, 0, 0, 2], [0, 0, 2, 10, 1, 1, 1, 1], [0, 0, 3, 7, 4, 0, 1, 1], [0, 0, 3, 8, 1, 3, 0, 1], [0, 0, 3, 8, 2, 0, 3, 0], [0, 0, 4, 5, 4, 2, 0, 1], [0, 0, 4, 6, 2, 2, 2, 0], [0, 0, 5, 2, 7, 1, 0, 1], [0, 0, 5, 3, 5, 1, 2, 0], [0, 0, 5, 4, 2, 4, 1, 0], [0, 0, 6, 0, 8, 0, 2, 0], [0, 0, 6, 1, 5, 3, 1, 0], [0, 0, 6, 2, 2, 6, 0, 0], [0, 1, 0, 10, 3, 0, 1, 1], [0, 1, 0, 11, 0, 3, 0, 1], [0, 1, 0, 11, 1, 0, 3, 0], [0, 1, 1, 8, 3, 2, 0, 1], [0, 1, 1, 9, 1, 2, 2, 0], [0, 1, 2, 5, 6, 1, 0, 1], [0, 1, 2, 6, 4, 1, 2, 0], [0, 1, 2, 7, 1, 4, 1, 0], [0, 1, 3, 2, 9, 0, 0, 1], [0, 1, 3, 3, 7, 0, 2, 0], [0, 1, 3, 4, 4, 3, 1, 0], [0, 1, 3, 5, 1, 6, 0, 0], [0, 1, 4, 1, 7, 2, 1, 0], [0, 1, 4, 2, 4, 5, 0, 0], [0, 2, 0, 5, 8, 0, 0, 1], [0, 2, 0, 6, 6, 0, 2, 0], [0, 2, 0, 7, 3, 3, 1, 0], [0, 2, 0, 8, 0, 6, 0, 0], [0, 2, 1, 4, 6, 2, 1, 0], [0, 2, 1, 5, 3, 5, 0, 0], [0, 2, 2, 1, 9, 1, 1, 0], [0, 2, 2, 2, 6, 4, 0, 0], [0, 3, 0, 1, 11, 0, 1, 0], [0, 3, 0, 2, 8, 3, 0, 0], [1, 0, 0, 7, 7, 0, 0, 1], [1, 0, 0, 8, 5, 0, 2, 0], [1, 0, 0, 9, 2, 3, 1, 0], [1, 0, 1, 6, 5, 2, 1, 0], [1, 0, 1, 7, 2, 5, 0, 0], [1, 0, 2, 3, 8, 1, 1, 0], [1, 0, 2, 4, 5, 4, 0, 0], [1, 0, 3, 0, 11, 0, 1, 0], [1, 0, 3, 1, 8, 3, 0, 0], [1, 1, 0, 3, 10, 0, 1, 0], [1, 1, 0, 4, 7, 3, 0, 0], [1, 1, 1, 1, 10, 2, 0, 0], [2, 0, 0, 0, 14, 0, 0, 0]} (8, 16, 2) has 77 possible DDs: {[0, 0, 0, 7, 7, 0, 0, 1, 1], [0, 0, 0, 8, 5, 0, 2, 0, 1], [0, 0, 0, 9, 2, 3, 1, 0, 1], [0, 0, 0, 9, 3, 1, 1, 2, 0], [0, 0, 0, 10, 0, 4, 0, 2, 0], [0, 0, 0, 10, 1, 1, 3, 1, 0], [0, 0, 1, 6, 5, 2, 1, 0, 1], [0, 0, 1, 6, 6, 0, 1, 2, 0], [0, 0, 1, 7, 2, 5, 0, 0, 1], [0, 0, 1, 7, 3, 3, 0, 2, 0], [0, 0, 1, 7, 4, 0, 3, 1, 0], [0, 0, 1, 8, 1, 3, 2, 1, 0], [0, 0, 1, 8, 2, 0, 5, 0, 0], [0, 0, 2, 3, 8, 1, 1, 0, 1], [0, 0, 2, 4, 5, 4, 0, 0, 1], [0, 0, 2, 4, 6, 2, 0, 2, 0], [0, 0, 2, 5, 4, 2, 2, 1, 0], [0, 0, 2, 6, 1, 5, 1, 1, 0], [0, 0, 2, 6, 2, 2, 4, 0, 0], [0, 0, 3, 0, 11, 0, 1, 0, 1], [0, 0, 3, 1, 8, 3, 0, 0, 1], [0, 0, 3, 1, 9, 1, 0, 2, 0], [0, 0, 3, 2, 7, 1, 2, 1, 0], [0, 0, 3, 3, 4, 4, 1, 1, 0], [0, 0, 3, 3, 5, 1, 4, 0, 0], [0, 0, 3, 4, 1, 7, 0, 1, 0], [0, 0, 3, 4, 2, 4, 3, 0, 0], [0, 0, 4, 0, 7, 3, 1, 1, 0], [0, 0, 4, 0, 8, 0, 4, 0, 0], [0, 0, 4, 1, 4, 6, 0, 1, 0], [0, 0, 4, 1, 5, 3, 3, 0, 0], [0, 0, 4, 2, 2, 6, 2, 0, 0], [0, 0, 5, 0, 2, 8, 1, 0, 0], [0, 1, 0, 3, 10, 0, 1, 0, 1], [0, 1, 0, 4, 7, 3, 0, 0, 1], [0, 1, 0, 4, 8, 1, 0, 2, 0], [0, 1, 0, 5, 6, 1, 2, 1, 0], [0, 1, 0, 6, 3, 4, 1, 1, 0], [0, 1, 0, 6, 4, 1, 4, 0, 0], [0, 1, 0, 7, 0, 7, 0, 1, 0], [0, 1, 0, 7, 1, 4, 3, 0, 0], [0, 1, 1, 1, 10, 2, 0, 0, 1], [0, 1, 1, 1, 11, 0, 0, 2, 0], [0, 1, 1, 2, 9, 0, 2, 1, 0], [0, 1, 1, 3, 6, 3, 1, 1, 0], [0, 1, 1, 3, 7, 0, 4, 0, 0], [0, 1, 1, 4, 3, 6, 0, 1, 0], [0, 1, 1, 4, 4, 3, 3, 0, 0], [0, 1, 1, 5, 1, 6, 2, 0, 0], [0, 1, 2, 0, 9, 2, 1, 1, 0], [0, 1, 2, 1, 6, 5, 0, 1, 0], [0, 1, 2, 1, 7, 2, 3, 0, 0], [0, 1, 2, 2, 4, 5, 2, 0, 0], [0, 1, 2, 3, 1, 8, 1, 0, 0], [0, 1, 3, 0, 4, 7, 1, 0, 0], [0, 1, 3, 1, 1, 10, 0, 0, 0], [0, 2, 0, 0, 11, 1, 1, 1, 0], [0, 2, 0, 1, 8, 4, 0, 1, 0], [0, 2, 0, 1, 9, 1, 3, 0, 0], [0, 2, 0, 2, 6, 4, 2, 0, 0], [0, 2, 0, 3, 3, 7, 1, 0, 0], [0, 2, 0, 4, 0, 10, 0, 0, 0], [0, 2, 1, 0, 6, 6, 1, 0, 0], [0, 2, 1, 1, 3, 9, 0, 0, 0], [1, 0, 0, 0, 14, 0, 0, 0, 1], [1, 0, 0, 2, 10, 1, 1, 1, 0], [1, 0, 0, 3, 7, 4, 0, 1, 0], [1, 0, 0, 3, 8, 1, 3, 0, 0], [1, 0, 0, 4, 5, 4, 2, 0, 0], [1, 0, 0, 5, 2, 7, 1, 0, 0], [1, 0, 1, 0, 10, 3, 0, 1, 0], [1, 0, 1, 0, 11, 0, 3, 0, 0], [1, 0, 1, 1, 8, 3, 2, 0, 0], [1, 0, 1, 2, 5, 6, 1, 0, 0], [1, 0, 1, 3, 2, 9, 0, 0, 0], [1, 0, 2, 0, 5, 8, 0, 0, 0], [1, 1, 0, 0, 7, 7, 0, 0, 0]} (9, 16, 2) has 110 possible DDs: {[0, 0, 0, 2, 11, 0, 1, 1, 0, 1], [0, 0, 0, 3, 8, 3, 0, 1, 0, 1], [0, 0, 0, 3, 9, 0, 3, 0, 0, 1], [0, 0, 0, 3, 9, 1, 1, 0, 2, 0], [0, 0, 0, 4, 6, 3, 2, 0, 0, 1], [0, 0, 0, 4, 6, 4, 0, 0, 2, 0], [0, 0, 0, 4, 7, 2, 0, 2, 1, 0], [0, 0, 0, 4, 8, 0, 0, 4, 0, 0], [0, 0, 0, 5, 3, 6, 1, 0, 0, 1], [0, 0, 0, 5, 5, 2, 2, 1, 1, 0], [0, 0, 0, 5, 6, 0, 2, 3, 0, 0], [0, 0, 0, 6, 0, 9, 0, 0, 0, 1], [0, 0, 0, 6, 2, 5, 1, 1, 1, 0], [0, 0, 0, 6, 3, 2, 4, 0, 1, 0], [0, 0, 0, 6, 3, 3, 1, 3, 0, 0], [0, 0, 0, 6, 4, 0, 4, 2, 0, 0], [0, 0, 0, 7, 0, 5, 3, 0, 1, 0], [0, 0, 0, 7, 0, 6, 0, 3, 0, 0], [0, 0, 0, 7, 1, 3, 3, 2, 0, 0], [0, 0, 0, 7, 2, 0, 6, 1, 0, 0], [0, 0, 0, 8, 0, 0, 8, 0, 0, 0], [0, 0, 1, 0, 11, 2, 0, 1, 0, 1], [0, 0, 1, 0, 12, 0, 1, 0, 2, 0], [0, 0, 1, 1, 9, 2, 2, 0, 0, 1], [0, 0, 1, 1, 9, 3, 0, 0, 2, 0], [0, 0, 1, 1, 10, 1, 0, 2, 1, 0], [0, 0, 1, 2, 6, 5, 1, 0, 0, 1], [0, 0, 1, 2, 8, 1, 2, 1, 1, 0], [0, 0, 1, 3, 3, 8, 0, 0, 0, 1], [0, 0, 1, 3, 5, 4, 1, 1, 1, 0], [0, 0, 1, 3, 6, 1, 4, 0, 1, 0], [0, 0, 1, 3, 6, 2, 1, 3, 0, 0], [0, 0, 1, 4, 2, 7, 0, 1, 1, 0], [0, 0, 1, 4, 3, 4, 3, 0, 1, 0], [0, 0, 1, 4, 3, 5, 0, 3, 0, 0], [0, 0, 1, 4, 4, 2, 3, 2, 0, 0], [0, 0, 1, 5, 0, 7, 2, 0, 1, 0], [0, 0, 1, 5, 1, 5, 2, 2, 0, 0], [0, 0, 1, 5, 2, 2, 5, 1, 0, 0], [0, 0, 1, 6, 0, 2, 7, 0, 0, 0], [0, 0, 2, 0, 6, 7, 0, 0, 0, 1], [0, 0, 2, 0, 8, 3, 1, 1, 1, 0], [0, 0, 2, 0, 9, 0, 4, 0, 1, 0], [0, 0, 2, 0, 9, 1, 1, 3, 0, 0], [0, 0, 2, 1, 5, 6, 0, 1, 1, 0], [0, 0, 2, 1, 6, 3, 3, 0, 1, 0], [0, 0, 2, 1, 6, 4, 0, 3, 0, 0], [0, 0, 2, 1, 7, 1, 3, 2, 0, 0], [0, 0, 2, 2, 3, 6, 2, 0, 1, 0], [0, 0, 2, 2, 4, 4, 2, 2, 0, 0], [0, 0, 2, 2, 5, 1, 5, 1, 0, 0], [0, 0, 2, 3, 0, 9, 1, 0, 1, 0], [0, 0, 2, 3, 1, 7, 1, 2, 0, 0], [0, 0, 2, 3, 2, 4, 4, 1, 0, 0], [0, 0, 2, 3, 3, 1, 7, 0, 0, 0], [0, 0, 2, 4, 0, 4, 6, 0, 0, 0], [0, 0, 3, 0, 3, 8, 1, 0, 1, 0], [0, 0, 3, 0, 4, 6, 1, 2, 0, 0], [0, 0, 3, 0, 5, 3, 4, 1, 0, 0], [0, 0, 3, 0, 6, 0, 7, 0, 0, 0], [0, 0, 3, 1, 0, 11, 0, 0, 1, 0], [0, 0, 3, 1, 1, 9, 0, 2, 0, 0], [0, 0, 3, 1, 2, 6, 3, 1, 0, 0], [0, 0, 3, 1, 3, 3, 6, 0, 0, 0], [0, 0, 3, 2, 0, 6, 5, 0, 0, 0], [0, 0, 4, 0, 0, 8, 4, 0, 0, 0], [0, 1, 0, 0, 8, 6, 0, 0, 0, 1], [0, 1, 0, 0, 10, 2, 1, 1, 1, 0], [0, 1, 0, 0, 11, 0, 1, 3, 0, 0], [0, 1, 0, 1, 7, 5, 0, 1, 1, 0], [0, 1, 0, 1, 8, 2, 3, 0, 1, 0], [0, 1, 0, 1, 8, 3, 0, 3, 0, 0], [0, 1, 0, 1, 9, 0, 3, 2, 0, 0], [0, 1, 0, 2, 5, 5, 2, 0, 1, 0], [0, 1, 0, 2, 6, 3, 2, 2, 0, 0], [0, 1, 0, 2, 7, 0, 5, 1, 0, 0], [0, 1, 0, 3, 2, 8, 1, 0, 1, 0], [0, 1, 0, 3, 3, 6, 1, 2, 0, 0], [0, 1, 0, 3, 4, 3, 4, 1, 0, 0], [0, 1, 0, 3, 5, 0, 7, 0, 0, 0], [0, 1, 0, 4, 0, 9, 0, 2, 0, 0], [0, 1, 0, 4, 1, 6, 3, 1, 0, 0], [0, 1, 0, 4, 2, 3, 6, 0, 0, 0], [0, 1, 1, 0, 5, 7, 1, 0, 1, 0], [0, 1, 1, 0, 6, 5, 1, 2, 0, 0], [0, 1, 1, 0, 7, 2, 4, 1, 0, 0], [0, 1, 1, 1, 2, 10, 0, 0, 1, 0], [0, 1, 1, 1, 3, 8, 0, 2, 0, 0], [0, 1, 1, 1, 4, 5, 3, 1, 0, 0], [0, 1, 1, 1, 5, 2, 6, 0, 0, 0], [0, 1, 1, 2, 1, 8, 2, 1, 0, 0], [0, 1, 1, 2, 2, 5, 5, 0, 0, 0], [0, 1, 2, 0, 1, 10, 1, 1, 0, 0], [0, 1, 2, 0, 2, 7, 4, 0, 0, 0], [0, 2, 0, 0, 3, 9, 1, 1, 0, 0], [0, 2, 0, 0, 4, 6, 4, 0, 0, 0], [0, 2, 0, 1, 0, 12, 0, 1, 0, 0], [0, 2, 0, 1, 1, 9, 3, 0, 0, 0], [1, 0, 0, 0, 6, 8, 0, 0, 1, 0], [1, 0, 0, 0, 7, 6, 0, 2, 0, 0], [1, 0, 0, 0, 8, 3, 3, 1, 0, 0], [1, 0, 0, 0, 9, 0, 6, 0, 0, 0], [1, 0, 0, 1, 5, 6, 2, 1, 0, 0], [1, 0, 0, 1, 6, 3, 5, 0, 0, 0], [1, 0, 0, 2, 2, 9, 1, 1, 0, 0], [1, 0, 0, 2, 3, 6, 4, 0, 0, 0], [1, 0, 0, 3, 0, 9, 3, 0, 0, 0], [1, 0, 1, 0, 2, 11, 0, 1, 0, 0], [1, 0, 1, 0, 3, 8, 3, 0, 0, 0], [1, 0, 1, 1, 0, 11, 2, 0, 0, 0]} (10, 16, 2) has 140 possible DDs: {[0, 0, 0, 0, 8, 6, 0, 0, 0, 2, 0], [0, 0, 0, 0, 9, 3, 2, 1, 0, 0, 1], [0, 0, 0, 0, 10, 0, 5, 0, 0, 0, 1], [0, 0, 0, 0, 10, 2, 1, 1, 1, 1, 0], [0, 0, 0, 0, 11, 0, 1, 3, 0, 1, 0], [0, 0, 0, 0, 11, 0, 2, 0, 3, 0, 0], [0, 0, 0, 1, 6, 6, 1, 1, 0, 0, 1], [0, 0, 0, 1, 7, 3, 4, 0, 0, 0, 1], [0, 0, 0, 1, 7, 5, 0, 1, 1, 1, 0], [0, 0, 0, 1, 8, 2, 3, 0, 1, 1, 0], [0, 0, 0, 1, 8, 3, 0, 3, 0, 1, 0], [0, 0, 0, 1, 8, 3, 1, 0, 3, 0, 0], [0, 0, 0, 1, 9, 0, 3, 2, 0, 1, 0], [0, 0, 0, 1, 9, 1, 1, 2, 2, 0, 0], [0, 0, 0, 2, 3, 9, 0, 1, 0, 0, 1], [0, 0, 0, 2, 4, 6, 3, 0, 0, 0, 1], [0, 0, 0, 2, 5, 5, 2, 0, 1, 1, 0], [0, 0, 0, 2, 5, 6, 0, 0, 3, 0, 0], [0, 0, 0, 2, 6, 3, 2, 2, 0, 1, 0], [0, 0, 0, 2, 6, 4, 0, 2, 2, 0, 0], [0, 0, 0, 2, 7, 0, 5, 1, 0, 1, 0], [0, 0, 0, 2, 7, 1, 3, 1, 2, 0, 0], [0, 0, 0, 2, 7, 2, 0, 4, 1, 0, 0], [0, 0, 0, 2, 8, 0, 0, 6, 0, 0, 0], [0, 0, 0, 3, 1, 9, 2, 0, 0, 0, 1], [0, 0, 0, 3, 2, 8, 1, 0, 1, 1, 0], [0, 0, 0, 3, 3, 6, 1, 2, 0, 1, 0], [0, 0, 0, 3, 4, 3, 4, 1, 0, 1, 0], [0, 0, 0, 3, 4, 4, 2, 1, 2, 0, 0], [0, 0, 0, 3, 5, 0, 7, 0, 0, 1, 0], [0, 0, 0, 3, 5, 1, 5, 0, 2, 0, 0], [0, 0, 0, 3, 5, 2, 2, 3, 1, 0, 0], [0, 0, 0, 3, 6, 0, 2, 5, 0, 0, 0], [0, 0, 0, 4, 0, 9, 0, 2, 0, 1, 0], [0, 0, 0, 4, 1, 6, 3, 1, 0, 1, 0], [0, 0, 0, 4, 1, 7, 1, 1, 2, 0, 0], [0, 0, 0, 4, 2, 3, 6, 0, 0, 1, 0], [0, 0, 0, 4, 2, 4, 4, 0, 2, 0, 0], [0, 0, 0, 4, 2, 5, 1, 3, 1, 0, 0], [0, 0, 0, 4, 3, 2, 4, 2, 1, 0, 0], [0, 0, 0, 4, 3, 3, 1, 5, 0, 0, 0], [0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0], [0, 0, 0, 5, 0, 5, 3, 2, 1, 0, 0], [0, 0, 0, 5, 0, 6, 0, 5, 0, 0, 0], [0, 0, 0, 5, 1, 2, 6, 1, 1, 0, 0], [0, 0, 0, 5, 1, 3, 3, 4, 0, 0, 0], [0, 0, 0, 5, 2, 0, 6, 3, 0, 0, 0], [0, 0, 0, 6, 0, 0, 8, 2, 0, 0, 0], [0, 0, 1, 0, 4, 8, 2, 0, 0, 0, 1], [0, 0, 1, 0, 5, 7, 1, 0, 1, 1, 0], [0, 0, 1, 0, 6, 5, 1, 2, 0, 1, 0], [0, 0, 1, 0, 7, 2, 4, 1, 0, 1, 0], [0, 0, 1, 0, 7, 3, 2, 1, 2, 0, 0], [0, 0, 1, 0, 8, 0, 5, 0, 2, 0, 0], [0, 0, 1, 0, 8, 1, 2, 3, 1, 0, 0], [0, 0, 1, 1, 1, 11, 1, 0, 0, 0, 1], [0, 0, 1, 1, 2, 10, 0, 0, 1, 1, 0], [0, 0, 1, 1, 3, 8, 0, 2, 0, 1, 0], [0, 0, 1, 1, 4, 5, 3, 1, 0, 1, 0], [0, 0, 1, 1, 4, 6, 1, 1, 2, 0, 0], [0, 0, 1, 1, 5, 2, 6, 0, 0, 1, 0], [0, 0, 1, 1, 5, 3, 4, 0, 2, 0, 0], [0, 0, 1, 1, 5, 4, 1, 3, 1, 0, 0], [0, 0, 1, 1, 6, 1, 4, 2, 1, 0, 0], [0, 0, 1, 1, 6, 2, 1, 5, 0, 0, 0], [0, 0, 1, 2, 1, 8, 2, 1, 0, 1, 0], [0, 0, 1, 2, 1, 9, 0, 1, 2, 0, 0], [0, 0, 1, 2, 2, 5, 5, 0, 0, 1, 0], [0, 0, 1, 2, 2, 6, 3, 0, 2, 0, 0], [0, 0, 1, 2, 2, 7, 0, 3, 1, 0, 0], [0, 0, 1, 2, 3, 4, 3, 2, 1, 0, 0], [0, 0, 1, 2, 3, 5, 0, 5, 0, 0, 0], [0, 0, 1, 2, 4, 1, 6, 1, 1, 0, 0], [0, 0, 1, 2, 4, 2, 3, 4, 0, 0, 0], [0, 0, 1, 3, 0, 7, 2, 2, 1, 0, 0], [0, 0, 1, 3, 1, 4, 5, 1, 1, 0, 0], [0, 0, 1, 3, 1, 5, 2, 4, 0, 0, 0], [0, 0, 1, 3, 2, 1, 8, 0, 1, 0, 0], [0, 0, 1, 3, 2, 2, 5, 3, 0, 0, 0], [0, 0, 1, 4, 0, 2, 7, 2, 0, 0, 0], [0, 0, 2, 0, 1, 10, 1, 1, 0, 1, 0], [0, 0, 2, 0, 2, 7, 4, 0, 0, 1, 0], [0, 0, 2, 0, 2, 8, 2, 0, 2, 0, 0], [0, 0, 2, 0, 3, 6, 2, 2, 1, 0, 0], [0, 0, 2, 0, 4, 3, 5, 1, 1, 0, 0], [0, 0, 2, 0, 4, 4, 2, 4, 0, 0, 0], [0, 0, 2, 0, 5, 0, 8, 0, 1, 0, 0], [0, 0, 2, 0, 5, 1, 5, 3, 0, 0, 0], [0, 0, 2, 1, 0, 9, 1, 2, 1, 0, 0], [0, 0, 2, 1, 1, 6, 4, 1, 1, 0, 0], [0, 0, 2, 1, 1, 7, 1, 4, 0, 0, 0], [0, 0, 2, 1, 2, 3, 7, 0, 1, 0, 0], [0, 0, 2, 1, 2, 4, 4, 3, 0, 0, 0], [0, 0, 2, 1, 3, 1, 7, 2, 0, 0, 0], [0, 0, 2, 2, 0, 4, 6, 2, 0, 0, 0], [0, 0, 2, 2, 1, 1, 9, 1, 0, 0, 0], [0, 0, 3, 0, 0, 6, 5, 2, 0, 0, 0], [0, 0, 3, 0, 1, 3, 8, 1, 0, 0, 0], [0, 0, 3, 0, 2, 0, 11, 0, 0, 0, 0], [0, 1, 0, 0, 3, 9, 1, 1, 0, 1, 0], [0, 1, 0, 0, 4, 6, 4, 0, 0, 1, 0], [0, 1, 0, 0, 4, 7, 2, 0, 2, 0, 0], [0, 1, 0, 0, 5, 5, 2, 2, 1, 0, 0], [0, 1, 0, 0, 6, 2, 5, 1, 1, 0, 0], [0, 1, 0, 0, 6, 3, 2, 4, 0, 0, 0], [0, 1, 0, 0, 7, 0, 5, 3, 0, 0, 0], [0, 1, 0, 1, 0, 12, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 9, 3, 0, 0, 1, 0], [0, 1, 0, 1, 1, 10, 1, 0, 2, 0, 0], [0, 1, 0, 1, 2, 8, 1, 2, 1, 0, 0], [0, 1, 0, 1, 3, 5, 4, 1, 1, 0, 0], [0, 1, 0, 1, 3, 6, 1, 4, 0, 0, 0], [0, 1, 0, 1, 4, 2, 7, 0, 1, 0, 0], [0, 1, 0, 1, 4, 3, 4, 3, 0, 0, 0], [0, 1, 0, 1, 5, 0, 7, 2, 0, 0, 0], [0, 1, 0, 2, 0, 8, 3, 1, 1, 0, 0], [0, 1, 0, 2, 0, 9, 0, 4, 0, 0, 0], [0, 1, 0, 2, 1, 5, 6, 0, 1, 0, 0], [0, 1, 0, 2, 1, 6, 3, 3, 0, 0, 0], [0, 1, 0, 2, 2, 3, 6, 2, 0, 0, 0], [0, 1, 0, 2, 3, 0, 9, 1, 0, 0, 0], [0, 1, 0, 3, 0, 3, 8, 1, 0, 0, 0], [0, 1, 0, 3, 1, 0, 11, 0, 0, 0, 0], [0, 1, 1, 0, 0, 10, 2, 1, 1, 0, 0], [0, 1, 1, 0, 1, 7, 5, 0, 1, 0, 0], [0, 1, 1, 0, 1, 8, 2, 3, 0, 0, 0], [0, 1, 1, 0, 2, 5, 5, 2, 0, 0, 0], [0, 1, 1, 0, 3, 2, 8, 1, 0, 0, 0], [0, 1, 1, 1, 0, 5, 7, 1, 0, 0, 0], [0, 1, 1, 1, 1, 2, 10, 0, 0, 0, 0], [0, 2, 0, 0, 0, 6, 8, 0, 0, 0, 0], [1, 0, 0, 0, 1, 11, 1, 1, 1, 0, 0], [1, 0, 0, 0, 2, 8, 4, 0, 1, 0, 0], [1, 0, 0, 0, 2, 9, 1, 3, 0, 0, 0], [1, 0, 0, 0, 3, 6, 4, 2, 0, 0, 0], [1, 0, 0, 0, 4, 3, 7, 1, 0, 0, 0], [1, 0, 0, 0, 5, 0, 10, 0, 0, 0, 0], [1, 0, 0, 1, 0, 9, 3, 2, 0, 0, 0], [1, 0, 0, 1, 1, 6, 6, 1, 0, 0, 0], [1, 0, 0, 1, 2, 3, 9, 0, 0, 0, 0]} (11, 16, 2) has 194 possible DDs: {[0, 0, 0, 0, 2, 11, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 3, 9, 1, 2, 0, 0, 0, 1], [0, 0, 0, 0, 3, 10, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 4, 6, 4, 1, 0, 0, 0, 1], [0, 0, 0, 0, 4, 7, 3, 0, 0, 1, 1, 0], [0, 0, 0, 0, 4, 8, 1, 0, 2, 0, 1, 0], [0, 0, 0, 0, 5, 3, 7, 0, 0, 0, 0, 1], [0, 0, 0, 0, 5, 6, 1, 2, 1, 0, 1, 0], [0, 0, 0, 0, 5, 6, 2, 0, 1, 2, 0, 0], [0, 0, 0, 0, 5, 7, 0, 0, 3, 1, 0, 0], [0, 0, 0, 0, 6, 3, 4, 1, 1, 0, 1, 0], [0, 0, 0, 0, 6, 4, 1, 4, 0, 0, 1, 0], [0, 0, 0, 0, 6, 4, 2, 2, 0, 2, 0, 0], [0, 0, 0, 0, 6, 5, 0, 2, 2, 1, 0, 0], [0, 0, 0, 0, 7, 0, 7, 0, 1, 0, 1, 0], [0, 0, 0, 0, 7, 1, 4, 3, 0, 0, 1, 0], [0, 0, 0, 0, 7, 1, 5, 1, 0, 2, 0, 0], [0, 0, 0, 0, 7, 2, 3, 1, 2, 1, 0, 0], [0, 0, 0, 0, 7, 3, 0, 4, 1, 1, 0, 0], [0, 0, 0, 0, 7, 3, 1, 1, 4, 0, 0, 0], [0, 0, 0, 0, 8, 0, 3, 3, 1, 1, 0, 0], [0, 0, 0, 0, 8, 0, 4, 0, 4, 0, 0, 0], [0, 0, 0, 0, 8, 1, 0, 6, 0, 1, 0, 0], [0, 0, 0, 0, 8, 1, 1, 3, 3, 0, 0, 0], [0, 0, 0, 1, 0, 12, 0, 2, 0, 0, 0, 1], [0, 0, 0, 1, 1, 9, 3, 1, 0, 0, 0, 1], [0, 0, 0, 1, 1, 10, 2, 0, 0, 1, 1, 0], [0, 0, 0, 1, 1, 11, 0, 0, 2, 0, 1, 0], [0, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 1], [0, 0, 0, 1, 2, 9, 0, 2, 1, 0, 1, 0], [0, 0, 0, 1, 2, 9, 1, 0, 1, 2, 0, 0], [0, 0, 0, 1, 3, 6, 3, 1, 1, 0, 1, 0], [0, 0, 0, 1, 3, 7, 0, 4, 0, 0, 1, 0], [0, 0, 0, 1, 3, 7, 1, 2, 0, 2, 0, 0], [0, 0, 0, 1, 4, 3, 6, 0, 1, 0, 1, 0], [0, 0, 0, 1, 4, 4, 3, 3, 0, 0, 1, 0], [0, 0, 0, 1, 4, 4, 4, 1, 0, 2, 0, 0], [0, 0, 0, 1, 4, 5, 2, 1, 2, 1, 0, 0], [0, 0, 0, 1, 4, 6, 0, 1, 4, 0, 0, 0], [0, 0, 0, 1, 5, 1, 6, 2, 0, 0, 1, 0], [0, 0, 0, 1, 5, 1, 7, 0, 0, 2, 0, 0], [0, 0, 0, 1, 5, 2, 5, 0, 2, 1, 0, 0], [0, 0, 0, 1, 5, 3, 2, 3, 1, 1, 0, 0], [0, 0, 0, 1, 5, 3, 3, 0, 4, 0, 0, 0], [0, 0, 0, 1, 5, 4, 0, 3, 3, 0, 0, 0], [0, 0, 0, 1, 6, 0, 5, 2, 1, 1, 0, 0], [0, 0, 0, 1, 6, 1, 2, 5, 0, 1, 0, 0], [0, 0, 0, 1, 6, 1, 3, 2, 3, 0, 0, 0], [0, 0, 0, 1, 6, 2, 0, 5, 2, 0, 0, 0], [0, 0, 0, 1, 7, 0, 0, 7, 1, 0, 0, 0], [0, 0, 0, 2, 0, 9, 2, 1, 1, 0, 1, 0], [0, 0, 0, 2, 0, 10, 0, 2, 0, 2, 0, 0], [0, 0, 0, 2, 1, 6, 5, 0, 1, 0, 1, 0], [0, 0, 0, 2, 1, 7, 2, 3, 0, 0, 1, 0], [0, 0, 0, 2, 1, 7, 3, 1, 0, 2, 0, 0], [0, 0, 0, 2, 1, 8, 1, 1, 2, 1, 0, 0], [0, 0, 0, 2, 2, 4, 5, 2, 0, 0, 1, 0], [0, 0, 0, 2, 2, 4, 6, 0, 0, 2, 0, 0], [0, 0, 0, 2, 2, 5, 4, 0, 2, 1, 0, 0], [0, 0, 0, 2, 2, 6, 1, 3, 1, 1, 0, 0], [0, 0, 0, 2, 2, 6, 2, 0, 4, 0, 0, 0], [0, 0, 0, 2, 3, 1, 8, 1, 0, 0, 1, 0], [0, 0, 0, 2, 3, 3, 4, 2, 1, 1, 0, 0], [0, 0, 0, 2, 3, 4, 1, 5, 0, 1, 0, 0], [0, 0, 0, 2, 3, 4, 2, 2, 3, 0, 0, 0], [0, 0, 0, 2, 4, 0, 7, 1, 1, 1, 0, 0], [0, 0, 0, 2, 4, 1, 4, 4, 0, 1, 0, 0], [0, 0, 0, 2, 4, 1, 5, 1, 3, 0, 0, 0], [0, 0, 0, 2, 4, 2, 2, 4, 2, 0, 0, 0], [0, 0, 0, 2, 5, 0, 2, 6, 1, 0, 0, 0], [0, 0, 0, 3, 0, 4, 7, 1, 0, 0, 1, 0], [0, 0, 0, 3, 0, 6, 3, 2, 1, 1, 0, 0], [0, 0, 0, 3, 0, 7, 0, 5, 0, 1, 0, 0], [0, 0, 0, 3, 0, 7, 1, 2, 3, 0, 0, 0], [0, 0, 0, 3, 1, 1, 10, 0, 0, 0, 1, 0], [0, 0, 0, 3, 1, 3, 6, 1, 1, 1, 0, 0], [0, 0, 0, 3, 1, 4, 3, 4, 0, 1, 0, 0], [0, 0, 0, 3, 1, 4, 4, 1, 3, 0, 0, 0], [0, 0, 0, 3, 1, 5, 1, 4, 2, 0, 0, 0], [0, 0, 0, 3, 2, 0, 9, 0, 1, 1, 0, 0], [0, 0, 0, 3, 2, 1, 6, 3, 0, 1, 0, 0], [0, 0, 0, 3, 2, 1, 7, 0, 3, 0, 0, 0], [0, 0, 0, 3, 2, 2, 4, 3, 2, 0, 0, 0], [0, 0, 0, 3, 2, 3, 1, 6, 1, 0, 0, 0], [0, 0, 0, 3, 3, 0, 4, 5, 1, 0, 0, 0], [0, 0, 0, 3, 3, 1, 1, 8, 0, 0, 0, 0], [0, 0, 0, 4, 0, 1, 8, 2, 0, 1, 0, 0], [0, 0, 0, 4, 0, 2, 6, 2, 2, 0, 0, 0], [0, 0, 0, 4, 0, 3, 3, 5, 1, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 8, 0, 0, 0, 0], [0, 0, 0, 4, 1, 0, 6, 4, 1, 0, 0, 0], [0, 0, 0, 4, 1, 1, 3, 7, 0, 0, 0, 0], [0, 0, 1, 0, 0, 11, 1, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 8, 4, 0, 1, 0, 1, 0], [0, 0, 1, 0, 1, 9, 1, 3, 0, 0, 1, 0], [0, 0, 1, 0, 1, 9, 2, 1, 0, 2, 0, 0], [0, 0, 1, 0, 1, 10, 0, 1, 2, 1, 0, 0], [0, 0, 1, 0, 2, 6, 4, 2, 0, 0, 1, 0], [0, 0, 1, 0, 2, 6, 5, 0, 0, 2, 0, 0], [0, 0, 1, 0, 2, 7, 3, 0, 2, 1, 0, 0], [0, 0, 1, 0, 2, 8, 0, 3, 1, 1, 0, 0], [0, 0, 1, 0, 2, 8, 1, 0, 4, 0, 0, 0], [0, 0, 1, 0, 3, 3, 7, 1, 0, 0, 1, 0], [0, 0, 1, 0, 3, 5, 3, 2, 1, 1, 0, 0], [0, 0, 1, 0, 3, 6, 0, 5, 0, 1, 0, 0], [0, 0, 1, 0, 3, 6, 1, 2, 3, 0, 0, 0], [0, 0, 1, 0, 4, 0, 10, 0, 0, 0, 1, 0], [0, 0, 1, 0, 4, 2, 6, 1, 1, 1, 0, 0], [0, 0, 1, 0, 4, 3, 3, 4, 0, 1, 0, 0], [0, 0, 1, 0, 4, 3, 4, 1, 3, 0, 0, 0], [0, 0, 1, 0, 4, 4, 1, 4, 2, 0, 0, 0], [0, 0, 1, 0, 5, 0, 6, 3, 0, 1, 0, 0], [0, 0, 1, 0, 5, 0, 7, 0, 3, 0, 0, 0], [0, 0, 1, 0, 5, 1, 4, 3, 2, 0, 0, 0], [0, 0, 1, 0, 5, 2, 1, 6, 1, 0, 0, 0], [0, 0, 1, 0, 6, 0, 1, 8, 0, 0, 0, 0], [0, 0, 1, 1, 0, 6, 6, 1, 0, 0, 1, 0], [0, 0, 1, 1, 0, 8, 2, 2, 1, 1, 0, 0], [0, 0, 1, 1, 0, 9, 0, 2, 3, 0, 0, 0], [0, 0, 1, 1, 1, 3, 9, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 6, 2, 4, 0, 1, 0, 0], [0, 0, 1, 1, 1, 6, 3, 1, 3, 0, 0, 0], [0, 0, 1, 1, 1, 7, 0, 4, 2, 0, 0, 0], [0, 0, 1, 1, 2, 2, 8, 0, 1, 1, 0, 0], [0, 0, 1, 1, 2, 3, 5, 3, 0, 1, 0, 0], [0, 0, 1, 1, 2, 3, 6, 0, 3, 0, 0, 0], [0, 0, 1, 1, 2, 4, 3, 3, 2, 0, 0, 0], [0, 0, 1, 1, 2, 5, 0, 6, 1, 0, 0, 0], [0, 0, 1, 1, 3, 0, 8, 2, 0, 1, 0, 0], [0, 0, 1, 1, 3, 1, 6, 2, 2, 0, 0, 0], [0, 0, 1, 1, 3, 2, 3, 5, 1, 0, 0, 0], [0, 0, 1, 1, 3, 3, 0, 8, 0, 0, 0, 0], [0, 0, 1, 1, 4, 0, 3, 7, 0, 0, 0, 0], [0, 0, 1, 2, 0, 3, 7, 2, 0, 1, 0, 0], [0, 0, 1, 2, 0, 4, 5, 2, 2, 0, 0, 0], [0, 0, 1, 2, 0, 5, 2, 5, 1, 0, 0, 0], [0, 0, 1, 2, 1, 0, 10, 1, 0, 1, 0, 0], [0, 0, 1, 2, 1, 1, 8, 1, 2, 0, 0, 0], [0, 0, 1, 2, 1, 2, 5, 4, 1, 0, 0, 0], [0, 0, 1, 2, 1, 3, 2, 7, 0, 0, 0, 0], [0, 0, 1, 2, 2, 0, 5, 6, 0, 0, 0, 0], [0, 0, 1, 3, 0, 0, 7, 5, 0, 0, 0, 0], [0, 0, 2, 0, 0, 5, 6, 2, 0, 1, 0, 0], [0, 0, 2, 0, 0, 6, 4, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 7, 1, 5, 1, 0, 0, 0], [0, 0, 2, 0, 1, 2, 9, 1, 0, 1, 0, 0], [0, 0, 2, 0, 1, 3, 7, 1, 2, 0, 0, 0], [0, 0, 2, 0, 1, 4, 4, 4, 1, 0, 0, 0], [0, 0, 2, 0, 1, 5, 1, 7, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 10, 0, 2, 0, 0, 0], [0, 0, 2, 0, 2, 1, 7, 3, 1, 0, 0, 0], [0, 0, 2, 0, 2, 2, 4, 6, 0, 0, 0, 0], [0, 0, 2, 1, 0, 1, 9, 2, 1, 0, 0, 0], [0, 0, 2, 1, 0, 2, 6, 5, 0, 0, 0, 0], [0, 1, 0, 0, 0, 7, 7, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 9, 3, 1, 1, 1, 0, 0], [0, 1, 0, 0, 0, 10, 0, 4, 0, 1, 0, 0], [0, 1, 0, 0, 0, 10, 1, 1, 3, 0, 0, 0], [0, 1, 0, 0, 1, 6, 6, 0, 1, 1, 0, 0], [0, 1, 0, 0, 1, 7, 3, 3, 0, 1, 0, 0], [0, 1, 0, 0, 1, 7, 4, 0, 3, 0, 0, 0], [0, 1, 0, 0, 1, 8, 1, 3, 2, 0, 0, 0], [0, 1, 0, 0, 2, 4, 6, 2, 0, 1, 0, 0], [0, 1, 0, 0, 2, 5, 4, 2, 2, 0, 0, 0], [0, 1, 0, 0, 2, 6, 1, 5, 1, 0, 0, 0], [0, 1, 0, 0, 3, 1, 9, 1, 0, 1, 0, 0], [0, 1, 0, 0, 3, 2, 7, 1, 2, 0, 0, 0], [0, 1, 0, 0, 3, 3, 4, 4, 1, 0, 0, 0], [0, 1, 0, 0, 3, 4, 1, 7, 0, 0, 0, 0], [0, 1, 0, 0, 4, 0, 7, 3, 1, 0, 0, 0], [0, 1, 0, 0, 4, 1, 4, 6, 0, 0, 0, 0], [0, 1, 0, 1, 0, 4, 8, 1, 0, 1, 0, 0], [0, 1, 0, 1, 0, 5, 6, 1, 2, 0, 0, 0], [0, 1, 0, 1, 0, 6, 3, 4, 1, 0, 0, 0], [0, 1, 0, 1, 0, 7, 0, 7, 0, 0, 0, 0], [0, 1, 0, 1, 1, 1, 11, 0, 0, 1, 0, 0], [0, 1, 0, 1, 1, 2, 9, 0, 2, 0, 0, 0], [0, 1, 0, 1, 1, 3, 6, 3, 1, 0, 0, 0], [0, 1, 0, 1, 1, 4, 3, 6, 0, 0, 0, 0], [0, 1, 0, 1, 2, 0, 9, 2, 1, 0, 0, 0], [0, 1, 0, 1, 2, 1, 6, 5, 0, 0, 0, 0], [0, 1, 0, 2, 0, 0, 11, 1, 1, 0, 0, 0], [0, 1, 0, 2, 0, 1, 8, 4, 0, 0, 0, 0], [0, 1, 1, 0, 0, 2, 10, 1, 1, 0, 0, 0], [0, 1, 1, 0, 0, 3, 7, 4, 0, 0, 0, 0], [0, 1, 1, 0, 1, 0, 10, 3, 0, 0, 0, 0], [1, 0, 0, 0, 0, 6, 6, 2, 1, 0, 0, 0], [1, 0, 0, 0, 0, 7, 3, 5, 0, 0, 0, 0], [1, 0, 0, 0, 1, 3, 9, 1, 1, 0, 0, 0], [1, 0, 0, 0, 1, 4, 6, 4, 0, 0, 0, 0], [1, 0, 0, 0, 2, 0, 12, 0, 1, 0, 0, 0], [1, 0, 0, 0, 2, 1, 9, 3, 0, 0, 0, 0], [1, 0, 0, 1, 0, 1, 11, 2, 0, 0, 0, 0]} (12, 16, 2) has 256 possible DDs: {[0, 0, 0, 0, 0, 8, 6, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 9, 3, 3, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 10, 3, 0, 1, 1, 0, 1, 0], [0, 0, 0, 0, 0, 11, 0, 3, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 11, 1, 0, 3, 0, 0, 1, 0], [0, 0, 0, 0, 0, 11, 1, 1, 1, 0, 2, 0, 0], [0, 0, 0, 0, 0, 12, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 1, 6, 6, 2, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 8, 3, 2, 0, 1, 0, 1, 0], [0, 0, 0, 0, 1, 8, 4, 0, 1, 0, 2, 0, 0], [0, 0, 0, 0, 1, 9, 1, 2, 2, 0, 0, 1, 0], [0, 0, 0, 0, 1, 9, 1, 3, 0, 0, 2, 0, 0], [0, 0, 0, 0, 1, 9, 2, 1, 0, 2, 1, 0, 0], [0, 0, 0, 0, 1, 10, 0, 1, 2, 1, 1, 0, 0], [0, 0, 0, 0, 2, 3, 9, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 2, 5, 6, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 2, 6, 4, 1, 2, 0, 0, 1, 0], [0, 0, 0, 0, 2, 6, 4, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 6, 5, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 2, 7, 1, 4, 1, 0, 0, 1, 0], [0, 0, 0, 0, 2, 7, 3, 0, 2, 1, 1, 0, 0], [0, 0, 0, 0, 2, 8, 0, 3, 1, 1, 1, 0, 0], [0, 0, 0, 0, 2, 8, 1, 0, 4, 0, 1, 0, 0], [0, 0, 0, 0, 2, 8, 1, 1, 1, 3, 0, 0, 0], [0, 0, 0, 0, 3, 0, 12, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 3, 2, 9, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 3, 3, 7, 0, 2, 0, 0, 1, 0], [0, 0, 0, 0, 3, 3, 7, 1, 0, 0, 2, 0, 0], [0, 0, 0, 0, 3, 4, 4, 3, 1, 0, 0, 1, 0], [0, 0, 0, 0, 3, 5, 1, 6, 0, 0, 0, 1, 0], [0, 0, 0, 0, 3, 5, 3, 2, 1, 1, 1, 0, 0], [0, 0, 0, 0, 3, 5, 4, 0, 1, 3, 0, 0, 0], [0, 0, 0, 0, 3, 6, 0, 5, 0, 1, 1, 0, 0], [0, 0, 0, 0, 3, 6, 1, 2, 3, 0, 1, 0, 0], [0, 0, 0, 0, 3, 6, 1, 3, 0, 3, 0, 0, 0], [0, 0, 0, 0, 3, 6, 2, 0, 3, 2, 0, 0, 0], [0, 0, 0, 0, 3, 7, 0, 0, 5, 1, 0, 0, 0], [0, 0, 0, 0, 4, 0, 10, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 4, 1, 7, 2, 1, 0, 0, 1, 0], [0, 0, 0, 0, 4, 2, 4, 5, 0, 0, 0, 1, 0], [0, 0, 0, 0, 4, 2, 6, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 4, 3, 3, 4, 0, 1, 1, 0, 0], [0, 0, 0, 0, 4, 3, 4, 1, 3, 0, 1, 0, 0], [0, 0, 0, 0, 4, 3, 4, 2, 0, 3, 0, 0, 0], [0, 0, 0, 0, 4, 4, 1, 4, 2, 0, 1, 0, 0], [0, 0, 0, 0, 4, 4, 2, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 4, 5, 0, 2, 4, 1, 0, 0, 0], [0, 0, 0, 0, 5, 0, 6, 3, 0, 1, 1, 0, 0], [0, 0, 0, 0, 5, 0, 7, 0, 3, 0, 1, 0, 0], [0, 0, 0, 0, 5, 0, 7, 1, 0, 3, 0, 0, 0], [0, 0, 0, 0, 5, 1, 4, 3, 2, 0, 1, 0, 0], [0, 0, 0, 0, 5, 1, 5, 1, 2, 2, 0, 0, 0], [0, 0, 0, 0, 5, 2, 1, 6, 1, 0, 1, 0, 0], [0, 0, 0, 0, 5, 2, 2, 4, 1, 2, 0, 0, 0], [0, 0, 0, 0, 5, 2, 3, 1, 4, 1, 0, 0, 0], [0, 0, 0, 0, 5, 3, 0, 4, 3, 1, 0, 0, 0], [0, 0, 0, 0, 5, 3, 1, 1, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 1, 8, 0, 0, 1, 0, 0], [0, 0, 0, 0, 6, 0, 2, 6, 0, 2, 0, 0, 0], [0, 0, 0, 0, 6, 0, 3, 3, 3, 1, 0, 0, 0], [0, 0, 0, 0, 6, 0, 4, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 1, 0, 6, 2, 1, 0, 0, 0], [0, 0, 0, 0, 6, 1, 1, 3, 5, 0, 0, 0, 0], [0, 0, 0, 1, 0, 3, 11, 0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 5, 8, 0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 0, 6, 6, 0, 2, 0, 0, 1, 0], [0, 0, 0, 1, 0, 6, 6, 1, 0, 0, 2, 0, 0], [0, 0, 0, 1, 0, 7, 3, 3, 1, 0, 0, 1, 0], [0, 0, 0, 1, 0, 8, 0, 6, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 8, 2, 2, 1, 1, 1, 0, 0], [0, 0, 0, 1, 0, 8, 3, 0, 1, 3, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 2, 3, 0, 1, 0, 0], [0, 0, 0, 1, 0, 9, 0, 3, 0, 3, 0, 0, 0], [0, 0, 0, 1, 0, 9, 1, 0, 3, 2, 0, 0, 0], [0, 0, 0, 1, 1, 3, 9, 0, 0, 0, 2, 0, 0], [0, 0, 0, 1, 1, 4, 6, 2, 1, 0, 0, 1, 0], [0, 0, 0, 1, 1, 5, 3, 5, 0, 0, 0, 1, 0], [0, 0, 0, 1, 1, 5, 5, 1, 1, 1, 1, 0, 0], [0, 0, 0, 1, 1, 6, 2, 4, 0, 1, 1, 0, 0], [0, 0, 0, 1, 1, 6, 3, 1, 3, 0, 1, 0, 0], [0, 0, 0, 1, 1, 6, 3, 2, 0, 3, 0, 0, 0], [0, 0, 0, 1, 1, 7, 0, 4, 2, 0, 1, 0, 0], [0, 0, 0, 1, 1, 7, 1, 2, 2, 2, 0, 0, 0], [0, 0, 0, 1, 2, 1, 9, 1, 1, 0, 0, 1, 0], [0, 0, 0, 1, 2, 2, 6, 4, 0, 0, 0, 1, 0], [0, 0, 0, 1, 2, 2, 8, 0, 1, 1, 1, 0, 0], [0, 0, 0, 1, 2, 3, 5, 3, 0, 1, 1, 0, 0], [0, 0, 0, 1, 2, 3, 6, 0, 3, 0, 1, 0, 0], [0, 0, 0, 1, 2, 3, 6, 1, 0, 3, 0, 0, 0], [0, 0, 0, 1, 2, 4, 3, 3, 2, 0, 1, 0, 0], [0, 0, 0, 1, 2, 4, 4, 1, 2, 2, 0, 0, 0], [0, 0, 0, 1, 2, 5, 0, 6, 1, 0, 1, 0, 0], [0, 0, 0, 1, 2, 5, 1, 4, 1, 2, 0, 0, 0], [0, 0, 0, 1, 2, 5, 2, 1, 4, 1, 0, 0, 0], [0, 0, 0, 1, 2, 6, 0, 1, 6, 0, 0, 0, 0], [0, 0, 0, 1, 3, 0, 8, 2, 0, 1, 1, 0, 0], [0, 0, 0, 1, 3, 0, 9, 0, 0, 3, 0, 0, 0], [0, 0, 0, 1, 3, 1, 6, 2, 2, 0, 1, 0, 0], [0, 0, 0, 1, 3, 1, 7, 0, 2, 2, 0, 0, 0], [0, 0, 0, 1, 3, 2, 3, 5, 1, 0, 1, 0, 0], [0, 0, 0, 1, 3, 2, 4, 3, 1, 2, 0, 0, 0], [0, 0, 0, 1, 3, 2, 5, 0, 4, 1, 0, 0, 0], [0, 0, 0, 1, 3, 3, 0, 8, 0, 0, 1, 0, 0], [0, 0, 0, 1, 3, 3, 1, 6, 0, 2, 0, 0, 0], [0, 0, 0, 1, 3, 3, 2, 3, 3, 1, 0, 0, 0], [0, 0, 0, 1, 3, 3, 3, 0, 6, 0, 0, 0, 0], [0, 0, 0, 1, 3, 4, 0, 3, 5, 0, 0, 0, 0], [0, 0, 0, 1, 4, 0, 3, 7, 0, 0, 1, 0, 0], [0, 0, 0, 1, 4, 0, 4, 5, 0, 2, 0, 0, 0], [0, 0, 0, 1, 4, 0, 5, 2, 3, 1, 0, 0, 0], [0, 0, 0, 1, 4, 1, 2, 5, 2, 1, 0, 0, 0], [0, 0, 0, 1, 4, 1, 3, 2, 5, 0, 0, 0, 0], [0, 0, 0, 1, 4, 2, 0, 5, 4, 0, 0, 0, 0], [0, 0, 0, 1, 5, 0, 0, 7, 3, 0, 0, 0, 0], [0, 0, 0, 2, 0, 1, 11, 0, 1, 0, 0, 1, 0], [0, 0, 0, 2, 0, 2, 8, 3, 0, 0, 0, 1, 0], [0, 0, 0, 2, 0, 3, 7, 2, 0, 1, 1, 0, 0], [0, 0, 0, 2, 0, 3, 8, 0, 0, 3, 0, 0, 0], [0, 0, 0, 2, 0, 4, 5, 2, 2, 0, 1, 0, 0], [0, 0, 0, 2, 0, 4, 6, 0, 2, 2, 0, 0, 0], [0, 0, 0, 2, 0, 5, 2, 5, 1, 0, 1, 0, 0], [0, 0, 0, 2, 0, 5, 3, 3, 1, 2, 0, 0, 0], [0, 0, 0, 2, 0, 5, 4, 0, 4, 1, 0, 0, 0], [0, 0, 0, 2, 0, 6, 0, 6, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 6, 1, 3, 3, 1, 0, 0, 0], [0, 0, 0, 2, 0, 6, 2, 0, 6, 0, 0, 0, 0], [0, 0, 0, 2, 1, 0, 10, 1, 0, 1, 1, 0, 0], [0, 0, 0, 2, 1, 1, 8, 1, 2, 0, 1, 0, 0], [0, 0, 0, 2, 1, 2, 5, 4, 1, 0, 1, 0, 0], [0, 0, 0, 2, 1, 2, 6, 2, 1, 2, 0, 0, 0], [0, 0, 0, 2, 1, 3, 2, 7, 0, 0, 1, 0, 0], [0, 0, 0, 2, 1, 3, 3, 5, 0, 2, 0, 0, 0], [0, 0, 0, 2, 1, 3, 4, 2, 3, 1, 0, 0, 0], [0, 0, 0, 2, 1, 4, 1, 5, 2, 1, 0, 0, 0], [0, 0, 0, 2, 1, 4, 2, 2, 5, 0, 0, 0, 0], [0, 0, 0, 2, 2, 0, 5, 6, 0, 0, 1, 0, 0], [0, 0, 0, 2, 2, 0, 6, 4, 0, 2, 0, 0, 0], [0, 0, 0, 2, 2, 0, 7, 1, 3, 1, 0, 0, 0], [0, 0, 0, 2, 2, 1, 4, 4, 2, 1, 0, 0, 0], [0, 0, 0, 2, 2, 1, 5, 1, 5, 0, 0, 0, 0], [0, 0, 0, 2, 2, 2, 1, 7, 1, 1, 0, 0, 0], [0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0], [0, 0, 0, 2, 3, 0, 1, 9, 0, 1, 0, 0, 0], [0, 0, 0, 2, 3, 0, 2, 6, 3, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 7, 5, 0, 0, 1, 0, 0], [0, 0, 0, 3, 0, 0, 8, 3, 0, 2, 0, 0, 0], [0, 0, 0, 3, 0, 0, 9, 0, 3, 1, 0, 0, 0], [0, 0, 0, 3, 0, 1, 6, 3, 2, 1, 0, 0, 0], [0, 0, 0, 3, 0, 1, 7, 0, 5, 0, 0, 0, 0], [0, 0, 0, 3, 0, 2, 3, 6, 1, 1, 0, 0, 0], [0, 0, 0, 3, 0, 2, 4, 3, 4, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 9, 0, 1, 0, 0, 0], [0, 0, 0, 3, 0, 3, 1, 6, 3, 0, 0, 0, 0], [0, 0, 0, 3, 1, 0, 3, 8, 0, 1, 0, 0, 0], [0, 0, 0, 3, 1, 0, 4, 5, 3, 0, 0, 0, 0], [0, 0, 0, 3, 1, 1, 1, 8, 2, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 12, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 3, 10, 0, 1, 0, 0, 1, 0], [0, 0, 1, 0, 0, 4, 7, 3, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 5, 6, 2, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 5, 7, 0, 0, 3, 0, 0, 0], [0, 0, 1, 0, 0, 6, 4, 2, 2, 0, 1, 0, 0], [0, 0, 1, 0, 0, 6, 5, 0, 2, 2, 0, 0, 0], [0, 0, 1, 0, 0, 7, 1, 5, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 7, 2, 3, 1, 2, 0, 0, 0], [0, 0, 1, 0, 0, 7, 3, 0, 4, 1, 0, 0, 0], [0, 0, 1, 0, 0, 8, 0, 3, 3, 1, 0, 0, 0], [0, 0, 1, 0, 0, 8, 1, 0, 6, 0, 0, 0, 0], [0, 0, 1, 0, 1, 1, 10, 2, 0, 0, 0, 1, 0], [0, 0, 1, 0, 1, 2, 9, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 1, 3, 7, 1, 2, 0, 1, 0, 0], [0, 0, 1, 0, 1, 4, 4, 4, 1, 0, 1, 0, 0], [0, 0, 1, 0, 1, 4, 5, 2, 1, 2, 0, 0, 0], [0, 0, 1, 0, 1, 5, 1, 7, 0, 0, 1, 0, 0], [0, 0, 1, 0, 1, 5, 2, 5, 0, 2, 0, 0, 0], [0, 0, 1, 0, 1, 5, 3, 2, 3, 1, 0, 0, 0], [0, 0, 1, 0, 1, 6, 0, 5, 2, 1, 0, 0, 0], [0, 0, 1, 0, 1, 6, 1, 2, 5, 0, 0, 0, 0], [0, 0, 1, 0, 2, 0, 10, 0, 2, 0, 1, 0, 0], [0, 0, 1, 0, 2, 1, 7, 3, 1, 0, 1, 0, 0], [0, 0, 1, 0, 2, 1, 8, 1, 1, 2, 0, 0, 0], [0, 0, 1, 0, 2, 2, 4, 6, 0, 0, 1, 0, 0], [0, 0, 1, 0, 2, 2, 5, 4, 0, 2, 0, 0, 0], [0, 0, 1, 0, 2, 2, 6, 1, 3, 1, 0, 0, 0], [0, 0, 1, 0, 2, 3, 3, 4, 2, 1, 0, 0, 0], [0, 0, 1, 0, 2, 3, 4, 1, 5, 0, 0, 0, 0], [0, 0, 1, 0, 2, 4, 0, 7, 1, 1, 0, 0, 0], [0, 0, 1, 0, 2, 4, 1, 4, 4, 0, 0, 0, 0], [0, 0, 1, 0, 3, 0, 6, 3, 2, 1, 0, 0, 0], [0, 0, 1, 0, 3, 0, 7, 0, 5, 0, 0, 0, 0], [0, 0, 1, 0, 3, 1, 3, 6, 1, 1, 0, 0, 0], [0, 0, 1, 0, 3, 1, 4, 3, 4, 0, 0, 0, 0], [0, 0, 1, 0, 3, 2, 0, 9, 0, 1, 0, 0, 0], [0, 0, 1, 0, 3, 2, 1, 6, 3, 0, 0, 0, 0], [0, 0, 1, 0, 4, 0, 1, 8, 2, 0, 0, 0, 0], [0, 0, 1, 1, 0, 1, 9, 2, 1, 0, 1, 0, 0], [0, 0, 1, 1, 0, 1, 10, 0, 1, 2, 0, 0, 0], [0, 0, 1, 1, 0, 2, 6, 5, 0, 0, 1, 0, 0], [0, 0, 1, 1, 0, 2, 7, 3, 0, 2, 0, 0, 0], [0, 0, 1, 1, 0, 2, 8, 0, 3, 1, 0, 0, 0], [0, 0, 1, 1, 0, 3, 5, 3, 2, 1, 0, 0, 0], [0, 0, 1, 1, 0, 3, 6, 0, 5, 0, 0, 0, 0], [0, 0, 1, 1, 0, 4, 2, 6, 1, 1, 0, 0, 0], [0, 0, 1, 1, 0, 4, 3, 3, 4, 0, 0, 0, 0], [0, 0, 1, 1, 0, 5, 0, 6, 3, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 8, 2, 2, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 5, 5, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 6, 2, 4, 0, 0, 0, 0], [0, 0, 1, 1, 1, 2, 2, 8, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 2, 3, 5, 3, 0, 0, 0, 0], [0, 0, 1, 1, 1, 3, 0, 8, 2, 0, 0, 0, 0], [0, 0, 1, 1, 2, 0, 3, 7, 2, 0, 0, 0, 0], [0, 0, 1, 1, 2, 1, 0, 10, 1, 0, 0, 0, 0], [0, 0, 1, 2, 0, 0, 5, 6, 2, 0, 0, 0, 0], [0, 0, 1, 2, 0, 1, 2, 9, 1, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 9, 3, 1, 1, 0, 0, 0], [0, 0, 2, 0, 0, 0, 10, 0, 4, 0, 0, 0, 0], [0, 0, 2, 0, 0, 1, 6, 6, 0, 1, 0, 0, 0], [0, 0, 2, 0, 0, 1, 7, 3, 3, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 4, 6, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 3, 1, 9, 1, 0, 0, 0, 0], [0, 0, 2, 0, 1, 0, 4, 8, 1, 0, 0, 0, 0], [0, 0, 2, 0, 1, 1, 1, 11, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 2, 10, 1, 1, 0, 1, 0, 0], [0, 1, 0, 0, 0, 3, 7, 4, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 3, 8, 2, 0, 2, 0, 0, 0], [0, 1, 0, 0, 0, 4, 6, 2, 2, 1, 0, 0, 0], [0, 1, 0, 0, 0, 5, 3, 5, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 5, 4, 2, 4, 0, 0, 0, 0], [0, 1, 0, 0, 0, 6, 0, 8, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 6, 1, 5, 3, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 10, 3, 0, 0, 1, 0, 0], [0, 1, 0, 0, 1, 0, 11, 1, 0, 2, 0, 0, 0], [0, 1, 0, 0, 1, 1, 9, 1, 2, 1, 0, 0, 0], [0, 1, 0, 0, 1, 2, 6, 4, 1, 1, 0, 0, 0], [0, 1, 0, 0, 1, 2, 7, 1, 4, 0, 0, 0, 0], [0, 1, 0, 0, 1, 3, 3, 7, 0, 1, 0, 0, 0], [0, 1, 0, 0, 1, 3, 4, 4, 3, 0, 0, 0, 0], [0, 1, 0, 0, 1, 4, 1, 7, 2, 0, 0, 0, 0], [0, 1, 0, 0, 2, 0, 6, 6, 0, 1, 0, 0, 0], [0, 1, 0, 0, 2, 0, 7, 3, 3, 0, 0, 0, 0], [0, 1, 0, 0, 2, 1, 4, 6, 2, 0, 0, 0, 0], [0, 1, 0, 0, 2, 2, 1, 9, 1, 0, 0, 0, 0], [0, 1, 0, 0, 3, 0, 1, 11, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 8, 5, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 0, 9, 2, 3, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 6, 5, 2, 0, 0, 0, 0], [0, 1, 0, 1, 0, 2, 3, 8, 1, 0, 0, 0, 0], [0, 1, 0, 1, 0, 3, 0, 11, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0, 3, 10, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 11, 3, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 12, 0, 3, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 9, 3, 2, 0, 0, 0, 0], [1, 0, 0, 0, 0, 2, 6, 6, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 3, 3, 9, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 6, 8, 0, 0, 0, 0, 0]} (13, 16, 2) has 308 possible DDs: {[0, 0, 0, 0, 0, 2, 11, 1, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 3, 8, 4, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 3, 10, 1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 4, 8, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 5, 6, 2, 1, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 5, 7, 1, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 6, 3, 5, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 6, 4, 2, 3, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 6, 5, 1, 2, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 6, 5, 2, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 0, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 7, 1, 5, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 7, 2, 4, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 7, 3, 2, 1, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 7, 4, 0, 2, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 5, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 1, 2, 3, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 1, 3, 1, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 8, 2, 0, 4, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 8, 2, 1, 1, 3, 1, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 1, 3, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 2, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 11, 3, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0, 13, 0, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 1, 1, 11, 1, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 1, 2, 9, 1, 1, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 2, 10, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 3, 6, 4, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 3, 7, 1, 3, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 3, 8, 0, 2, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 3, 8, 1, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 1, 4, 4, 4, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 4, 5, 3, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 4, 6, 1, 1, 2, 0, 1, 0, 0], [0, 0, 0, 0, 1, 5, 1, 7, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 5, 2, 6, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 5, 3, 4, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 1, 5, 4, 1, 3, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 5, 4, 2, 1, 1, 2, 0, 0, 0], [0, 0, 0, 0, 1, 5, 5, 0, 1, 3, 1, 0, 0, 0], [0, 0, 0, 0, 1, 6, 1, 4, 2, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 6, 1, 5, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 1, 6, 2, 1, 5, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 6, 2, 2, 3, 0, 2, 0, 0, 0], [0, 0, 0, 0, 1, 6, 2, 3, 0, 3, 1, 0, 0, 0], [0, 0, 0, 0, 1, 6, 3, 0, 3, 2, 1, 0, 0, 0], [0, 0, 0, 0, 1, 6, 3, 1, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 1, 7, 0, 3, 2, 2, 1, 0, 0, 0], [0, 0, 0, 0, 1, 7, 1, 0, 5, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 7, 1, 1, 2, 4, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 9, 3, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 2, 0, 10, 0, 3, 0, 0, 0, 1, 0], [0, 0, 0, 0, 2, 0, 11, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 2, 1, 7, 3, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 2, 1, 8, 2, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 2, 1, 9, 0, 1, 2, 0, 1, 0, 0], [0, 0, 0, 0, 2, 2, 4, 6, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 2, 2, 5, 5, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 2, 2, 6, 3, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 2, 2, 7, 0, 3, 1, 0, 1, 0, 0], [0, 0, 0, 0, 2, 2, 7, 1, 1, 1, 2, 0, 0, 0], [0, 0, 0, 0, 2, 3, 1, 9, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 2, 3, 4, 3, 2, 1, 0, 1, 0, 0], [0, 0, 0, 0, 2, 3, 4, 4, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 2, 3, 5, 0, 5, 0, 0, 1, 0, 0], [0, 0, 0, 0, 2, 3, 5, 1, 3, 0, 2, 0, 0, 0], [0, 0, 0, 0, 2, 3, 5, 2, 0, 3, 1, 0, 0, 0], [0, 0, 0, 0, 2, 3, 6, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 2, 4, 1, 6, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 2, 4, 2, 3, 4, 0, 0, 1, 0, 0], [0, 0, 0, 0, 2, 4, 2, 4, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 2, 4, 3, 2, 2, 2, 1, 0, 0, 0], [0, 0, 0, 0, 2, 4, 4, 0, 2, 4, 0, 0, 0, 0], [0, 0, 0, 0, 2, 5, 0, 5, 1, 2, 1, 0, 0, 0], [0, 0, 0, 0, 2, 5, 1, 2, 4, 1, 1, 0, 0, 0], [0, 0, 0, 0, 2, 5, 1, 3, 1, 4, 0, 0, 0, 0], [0, 0, 0, 0, 2, 5, 2, 0, 4, 3, 0, 0, 0, 0], [0, 0, 0, 0, 2, 6, 0, 0, 6, 2, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 4, 8, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 3, 0, 7, 2, 2, 1, 0, 1, 0, 0], [0, 0, 0, 0, 3, 0, 7, 3, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 3, 0, 8, 0, 3, 0, 2, 0, 0, 0], [0, 0, 0, 0, 3, 0, 8, 1, 0, 3, 1, 0, 0, 0], [0, 0, 0, 0, 3, 1, 4, 5, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 3, 1, 5, 2, 4, 0, 0, 1, 0, 0], [0, 0, 0, 0, 3, 1, 5, 3, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 3, 1, 6, 1, 2, 2, 1, 0, 0, 0], [0, 0, 0, 0, 3, 2, 1, 8, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 3, 2, 2, 5, 3, 0, 0, 1, 0, 0], [0, 0, 0, 0, 3, 2, 2, 6, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 3, 2, 3, 4, 1, 2, 1, 0, 0, 0], [0, 0, 0, 0, 3, 2, 4, 1, 4, 1, 1, 0, 0, 0], [0, 0, 0, 0, 3, 2, 4, 2, 1, 4, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 0, 7, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 3, 3, 1, 4, 3, 1, 1, 0, 0, 0], [0, 0, 0, 0, 3, 3, 1, 5, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 2, 1, 6, 0, 1, 0, 0, 0], [0, 0, 0, 0, 3, 3, 2, 2, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 4, 0, 2, 5, 2, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 2, 7, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 4, 0, 2, 8, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 4, 0, 3, 6, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 4, 0, 4, 3, 3, 1, 1, 0, 0, 0], [0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 5, 0, 6, 0, 1, 0, 0, 0], [0, 0, 0, 0, 4, 0, 5, 1, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 4, 1, 1, 6, 2, 1, 1, 0, 0, 0], [0, 0, 0, 0, 4, 1, 2, 3, 5, 0, 1, 0, 0, 0], [0, 0, 0, 0, 4, 1, 2, 4, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 4, 1, 3, 1, 5, 2, 0, 0, 0, 0], [0, 0, 0, 0, 4, 2, 0, 4, 4, 2, 0, 0, 0, 0], [0, 0, 0, 0, 4, 2, 1, 1, 7, 1, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 6, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 1, 3, 6, 1, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 2, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 11, 2, 0, 1, 0, 0, 1, 0], [0, 0, 0, 1, 0, 1, 9, 2, 2, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 1, 10, 1, 1, 0, 1, 1, 0, 0], [0, 0, 0, 1, 0, 2, 6, 5, 1, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 2, 7, 4, 0, 0, 1, 1, 0, 0], [0, 0, 0, 1, 0, 2, 8, 2, 0, 2, 0, 1, 0, 0], [0, 0, 0, 1, 0, 2, 9, 0, 1, 1, 2, 0, 0, 0], [0, 0, 0, 1, 0, 3, 3, 8, 0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 3, 6, 2, 2, 1, 0, 1, 0, 0], [0, 0, 0, 1, 0, 3, 6, 3, 0, 1, 2, 0, 0, 0], [0, 0, 0, 1, 0, 3, 7, 0, 3, 0, 2, 0, 0, 0], [0, 0, 0, 1, 0, 3, 7, 1, 0, 3, 1, 0, 0, 0], [0, 0, 0, 1, 0, 4, 3, 5, 1, 1, 0, 1, 0, 0], [0, 0, 0, 1, 0, 4, 4, 2, 4, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 4, 4, 3, 2, 0, 2, 0, 0, 0], [0, 0, 0, 1, 0, 4, 5, 1, 2, 2, 1, 0, 0, 0], [0, 0, 0, 1, 0, 5, 0, 8, 0, 1, 0, 1, 0, 0], [0, 0, 0, 1, 0, 5, 1, 5, 3, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 5, 1, 6, 1, 0, 2, 0, 0, 0], [0, 0, 0, 1, 0, 5, 2, 4, 1, 2, 1, 0, 0, 0], [0, 0, 0, 1, 0, 5, 3, 1, 4, 1, 1, 0, 0, 0], [0, 0, 0, 1, 0, 5, 3, 2, 1, 4, 0, 0, 0, 0], [0, 0, 0, 1, 0, 6, 0, 4, 3, 1, 1, 0, 0, 0], [0, 0, 0, 1, 0, 6, 0, 5, 0, 4, 0, 0, 0, 0], [0, 0, 0, 1, 0, 6, 1, 1, 6, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 6, 1, 2, 3, 3, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 6, 7, 0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 1, 0, 9, 1, 2, 1, 0, 1, 0, 0], [0, 0, 0, 1, 1, 0, 9, 2, 0, 1, 2, 0, 0, 0], [0, 0, 0, 1, 1, 0, 10, 0, 0, 3, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 6, 4, 1, 1, 0, 1, 0, 0], [0, 0, 0, 1, 1, 1, 7, 1, 4, 0, 0, 1, 0, 0], [0, 0, 0, 1, 1, 1, 7, 2, 2, 0, 2, 0, 0, 0], [0, 0, 0, 1, 1, 1, 8, 0, 2, 2, 1, 0, 0, 0], [0, 0, 0, 1, 1, 2, 3, 7, 0, 1, 0, 1, 0, 0], [0, 0, 0, 1, 1, 2, 4, 4, 3, 0, 0, 1, 0, 0], [0, 0, 0, 1, 1, 2, 4, 5, 1, 0, 2, 0, 0, 0], [0, 0, 0, 1, 1, 2, 5, 3, 1, 2, 1, 0, 0, 0], [0, 0, 0, 1, 1, 2, 6, 0, 4, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 2, 6, 1, 1, 4, 0, 0, 0, 0], [0, 0, 0, 1, 1, 3, 1, 7, 2, 0, 0, 1, 0, 0], [0, 0, 0, 1, 1, 3, 1, 8, 0, 0, 2, 0, 0, 0], [0, 0, 0, 1, 1, 3, 2, 6, 0, 2, 1, 0, 0, 0], [0, 0, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 3, 3, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 1, 1, 3, 4, 0, 6, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1, 3, 4, 1, 3, 3, 0, 0, 0, 0], [0, 0, 0, 1, 1, 4, 0, 6, 2, 1, 1, 0, 0, 0], [0, 0, 0, 1, 1, 4, 1, 3, 5, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1, 4, 1, 4, 2, 3, 0, 0, 0, 0], [0, 0, 0, 1, 1, 4, 2, 1, 5, 2, 0, 0, 0, 0], [0, 0, 0, 1, 1, 5, 0, 1, 7, 1, 0, 0, 0, 0], [0, 0, 0, 1, 2, 0, 4, 6, 2, 0, 0, 1, 0, 0], [0, 0, 0, 1, 2, 0, 4, 7, 0, 0, 2, 0, 0, 0], [0, 0, 0, 1, 2, 0, 5, 5, 0, 2, 1, 0, 0, 0], [0, 0, 0, 1, 2, 0, 6, 2, 3, 1, 1, 0, 0, 0], [0, 0, 0, 1, 2, 0, 6, 3, 0, 4, 0, 0, 0, 0], [0, 0, 0, 1, 2, 0, 7, 0, 3, 3, 0, 0, 0, 0], [0, 0, 0, 1, 2, 1, 1, 9, 1, 0, 0, 1, 0, 0], [0, 0, 0, 1, 2, 1, 3, 5, 2, 1, 1, 0, 0, 0], [0, 0, 0, 1, 2, 1, 4, 2, 5, 0, 1, 0, 0, 0], [0, 0, 0, 1, 2, 1, 4, 3, 2, 3, 0, 0, 0, 0], [0, 0, 0, 1, 2, 1, 5, 0, 5, 2, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 0, 8, 1, 1, 1, 0, 0, 0], [0, 0, 0, 1, 2, 2, 1, 5, 4, 0, 1, 0, 0, 0], [0, 0, 0, 1, 2, 2, 1, 6, 1, 3, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 2, 3, 4, 2, 0, 0, 0, 0], [0, 0, 0, 1, 2, 2, 3, 0, 7, 1, 0, 0, 0, 0], [0, 0, 0, 1, 2, 3, 0, 3, 6, 1, 0, 0, 0, 0], [0, 0, 0, 1, 2, 3, 1, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 1, 3, 0, 0, 10, 0, 1, 1, 0, 0, 0], [0, 0, 0, 1, 3, 0, 1, 7, 3, 0, 1, 0, 0, 0], [0, 0, 0, 1, 3, 0, 1, 8, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 3, 0, 2, 5, 3, 2, 0, 0, 0, 0], [0, 0, 0, 1, 3, 0, 3, 2, 6, 1, 0, 0, 0, 0], [0, 0, 0, 1, 3, 1, 0, 5, 5, 1, 0, 0, 0, 0], [0, 0, 0, 1, 3, 1, 1, 2, 8, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 6, 5, 2, 0, 0, 1, 0, 0], [0, 0, 0, 2, 0, 0, 6, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0, 7, 4, 0, 2, 1, 0, 0, 0], [0, 0, 0, 2, 0, 0, 8, 1, 3, 1, 1, 0, 0, 0], [0, 0, 0, 2, 0, 0, 8, 2, 0, 4, 0, 0, 0, 0], [0, 0, 0, 2, 0, 1, 3, 8, 1, 0, 0, 1, 0, 0], [0, 0, 0, 2, 0, 1, 5, 4, 2, 1, 1, 0, 0, 0], [0, 0, 0, 2, 0, 1, 6, 1, 5, 0, 1, 0, 0, 0], [0, 0, 0, 2, 0, 1, 6, 2, 2, 3, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 0, 11, 0, 0, 0, 1, 0, 0], [0, 0, 0, 2, 0, 2, 2, 7, 1, 1, 1, 0, 0, 0], [0, 0, 0, 2, 0, 2, 3, 4, 4, 0, 1, 0, 0, 0], [0, 0, 0, 2, 0, 2, 3, 5, 1, 3, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 4, 2, 4, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 3, 0, 7, 3, 0, 1, 0, 0, 0], [0, 0, 0, 2, 0, 3, 0, 8, 0, 3, 0, 0, 0, 0], [0, 0, 0, 2, 0, 3, 1, 5, 3, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 3, 2, 2, 6, 1, 0, 0, 0, 0], [0, 0, 0, 2, 0, 4, 0, 2, 8, 0, 0, 0, 0, 0], [0, 0, 0, 2, 1, 0, 2, 9, 0, 1, 1, 0, 0, 0], [0, 0, 0, 2, 1, 0, 3, 6, 3, 0, 1, 0, 0, 0], [0, 0, 0, 2, 1, 0, 3, 7, 0, 3, 0, 0, 0, 0], [0, 0, 0, 2, 1, 0, 4, 4, 3, 2, 0, 0, 0, 0], [0, 0, 0, 2, 1, 0, 5, 1, 6, 1, 0, 0, 0, 0], [0, 0, 0, 2, 1, 1, 0, 9, 2, 0, 1, 0, 0, 0], [0, 0, 0, 2, 1, 1, 1, 7, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 1, 1, 2, 4, 5, 1, 0, 0, 0, 0], [0, 0, 0, 2, 1, 1, 3, 1, 8, 0, 0, 0, 0, 0], [0, 0, 0, 2, 1, 2, 0, 4, 7, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 11, 0, 2, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 1, 8, 3, 1, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 2, 5, 6, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 10, 2, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 11, 0, 2, 0, 2, 0, 0, 0], [0, 0, 1, 0, 0, 1, 7, 5, 0, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 8, 2, 3, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 8, 3, 1, 0, 2, 0, 0, 0], [0, 0, 1, 0, 0, 1, 9, 1, 1, 2, 1, 0, 0, 0], [0, 0, 1, 0, 0, 2, 5, 5, 2, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 2, 5, 6, 0, 0, 2, 0, 0, 0], [0, 0, 1, 0, 0, 2, 6, 4, 0, 2, 1, 0, 0, 0], [0, 0, 1, 0, 0, 2, 7, 1, 3, 1, 1, 0, 0, 0], [0, 0, 1, 0, 0, 2, 7, 2, 0, 4, 0, 0, 0, 0], [0, 0, 1, 0, 0, 3, 2, 8, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 3, 4, 4, 2, 1, 1, 0, 0, 0], [0, 0, 1, 0, 0, 3, 5, 1, 5, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 3, 5, 2, 2, 3, 0, 0, 0, 0], [0, 0, 1, 0, 0, 4, 1, 7, 1, 1, 1, 0, 0, 0], [0, 0, 1, 0, 0, 4, 2, 4, 4, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 4, 2, 5, 1, 3, 0, 0, 0, 0], [0, 0, 1, 0, 0, 4, 3, 2, 4, 2, 0, 0, 0, 0], [0, 0, 1, 0, 0, 5, 0, 5, 3, 2, 0, 0, 0, 0], [0, 0, 1, 0, 0, 5, 1, 2, 6, 1, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 5, 7, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 1, 0, 7, 3, 2, 1, 1, 0, 0, 0], [0, 0, 1, 0, 1, 0, 8, 0, 5, 0, 1, 0, 0, 0], [0, 0, 1, 0, 1, 0, 8, 1, 2, 3, 0, 0, 0, 0], [0, 0, 1, 0, 1, 1, 2, 10, 0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 1, 1, 4, 6, 1, 1, 1, 0, 0, 0], [0, 0, 1, 0, 1, 1, 5, 3, 4, 0, 1, 0, 0, 0], [0, 0, 1, 0, 1, 1, 5, 4, 1, 3, 0, 0, 0, 0], [0, 0, 1, 0, 1, 1, 6, 1, 4, 2, 0, 0, 0, 0], [0, 0, 1, 0, 1, 2, 1, 9, 0, 1, 1, 0, 0, 0], [0, 0, 1, 0, 1, 2, 2, 6, 3, 0, 1, 0, 0, 0], [0, 0, 1, 0, 1, 2, 2, 7, 0, 3, 0, 0, 0, 0], [0, 0, 1, 0, 1, 2, 3, 4, 3, 2, 0, 0, 0, 0], [0, 0, 1, 0, 1, 2, 4, 1, 6, 1, 0, 0, 0, 0], [0, 0, 1, 0, 1, 3, 0, 7, 2, 2, 0, 0, 0, 0], [0, 0, 1, 0, 1, 3, 1, 4, 5, 1, 0, 0, 0, 0], [0, 0, 1, 0, 1, 3, 2, 1, 8, 0, 0, 0, 0, 0], [0, 0, 1, 0, 2, 0, 2, 8, 2, 0, 1, 0, 0, 0], [0, 0, 1, 0, 2, 0, 3, 6, 2, 2, 0, 0, 0, 0], [0, 0, 1, 0, 2, 0, 4, 3, 5, 1, 0, 0, 0, 0], [0, 0, 1, 0, 2, 0, 5, 0, 8, 0, 0, 0, 0, 0], [0, 0, 1, 0, 2, 1, 0, 9, 1, 2, 0, 0, 0, 0], [0, 0, 1, 0, 2, 1, 1, 6, 4, 1, 0, 0, 0, 0], [0, 0, 1, 0, 2, 1, 2, 3, 7, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 4, 7, 2, 0, 1, 0, 0, 0], [0, 0, 1, 1, 0, 0, 5, 5, 2, 2, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 6, 2, 5, 1, 0, 0, 0, 0], [0, 0, 1, 1, 0, 1, 1, 10, 1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 0, 1, 2, 8, 1, 2, 0, 0, 0, 0], [0, 0, 1, 1, 0, 1, 3, 5, 4, 1, 0, 0, 0, 0], [0, 0, 1, 1, 0, 1, 4, 2, 7, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 2, 0, 8, 3, 1, 0, 0, 0, 0], [0, 0, 1, 1, 0, 2, 1, 5, 6, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 10, 2, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 1, 7, 5, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 1, 11, 1, 1, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 8, 4, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 7, 6, 0, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0, 8, 3, 3, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0, 8, 4, 0, 3, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 9, 1, 3, 2, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 5, 6, 2, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 1, 6, 4, 2, 2, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 7, 1, 5, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 2, 2, 9, 1, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 2, 3, 7, 1, 2, 0, 0, 0, 0], [0, 1, 0, 0, 0, 2, 4, 4, 4, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 2, 5, 1, 7, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 3, 0, 10, 0, 2, 0, 0, 0, 0], [0, 1, 0, 0, 0, 3, 1, 7, 3, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 3, 2, 4, 6, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 2, 11, 0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 1, 0, 3, 9, 0, 2, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 4, 6, 3, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 5, 3, 6, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 1, 9, 2, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 2, 6, 5, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 13, 0, 1, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 10, 3, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 3, 11, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 4, 8, 3, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 11, 2, 0, 0, 0, 0, 0]} (14, 16, 2) has 406 possible DDs: {[0, 0, 0, 0, 0, 0, 7, 8, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 10, 3, 1, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 11, 1, 1, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 11, 2, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 12, 0, 1, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 7, 6, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 8, 4, 0, 2, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 9, 1, 3, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 9, 2, 2, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 9, 3, 0, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 10, 1, 0, 2, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 10, 1, 1, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 6, 4, 2, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 2, 6, 5, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 2, 7, 1, 5, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 2, 7, 4, 0, 0, 1, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 8, 1, 2, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 8, 2, 0, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 9, 0, 1, 1, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 7, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 3, 3, 8, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 3, 4, 4, 4, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 3, 5, 4, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 3, 6, 1, 4, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 3, 6, 2, 1, 3, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 3, 6, 2, 2, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 3, 6, 3, 0, 1, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 7, 0, 3, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 7, 1, 0, 3, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 7, 1, 1, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 10, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 4, 1, 7, 3, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 4, 2, 7, 0, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 4, 3, 4, 3, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 4, 3, 5, 0, 3, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 4, 3, 5, 1, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 2, 3, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 4, 4, 2, 4, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 3, 2, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 5, 1, 2, 2, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 4, 5, 2, 0, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 6, 0, 0, 4, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 7, 2, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 5, 0, 8, 0, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 5, 1, 5, 2, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 5, 1, 5, 3, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 5, 1, 6, 1, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 2, 2, 5, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 5, 2, 4, 1, 2, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 3, 1, 4, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 3, 2, 1, 4, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 3, 2, 2, 1, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 4, 0, 2, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 2, 7, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 6, 0, 4, 3, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 5, 0, 4, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 5, 1, 1, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 1, 1, 6, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 6, 1, 2, 3, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 6, 1, 2, 4, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 1, 3, 1, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 2, 0, 4, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 2, 1, 1, 5, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 6, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 1, 3, 4, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 2, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 6, 6, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 6, 7, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 0, 7, 3, 4, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 8, 3, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0, 9, 0, 4, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0, 9, 1, 1, 3, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0, 9, 1, 2, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 1, 0, 9, 2, 0, 1, 2, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 10, 0, 0, 3, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 10, 0, 1, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 3, 9, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 1, 4, 6, 3, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 1, 5, 6, 0, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 6, 3, 3, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 6, 4, 0, 3, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 6, 4, 1, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 1, 1, 7, 1, 3, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 7, 1, 4, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 1, 1, 7, 2, 2, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 1, 1, 7, 3, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 8, 0, 2, 2, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 1, 8, 1, 0, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 1, 9, 2, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 2, 3, 6, 2, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 2, 3, 7, 0, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 1, 2, 4, 4, 2, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 2, 4, 4, 3, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 1, 2, 4, 5, 1, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 1, 2, 5, 1, 5, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 2, 5, 3, 1, 2, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 2, 6, 0, 4, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 2, 6, 1, 1, 4, 0, 1, 0, 0, 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[0, 0, 1, 0, 0, 2, 2, 4, 4, 2, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 2, 2, 5, 1, 5, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 2, 3, 1, 7, 1, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 2, 3, 2, 4, 4, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 3, 0, 4, 6, 1, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 3, 0, 5, 3, 4, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 3, 1, 1, 9, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 3, 1, 2, 6, 3, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 0, 10, 2, 1, 0, 1, 0, 0, 0], [0, 0, 1, 0, 1, 0, 0, 11, 0, 1, 2, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 1, 7, 5, 0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 1, 0, 1, 8, 3, 0, 2, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 1, 9, 0, 3, 1, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 2, 6, 3, 2, 1, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 2, 7, 0, 5, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 3, 3, 6, 1, 1, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 3, 4, 3, 4, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 4, 0, 9, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 4, 1, 6, 3, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 1, 0, 6, 5, 1, 1, 0, 0, 0, 0], [0, 0, 1, 0, 1, 1, 0, 7, 2, 4, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 1, 1, 3, 8, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 1, 1, 1, 4, 5, 3, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 1, 2, 1, 8, 2, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 2, 0, 1, 10, 1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 2, 0, 0, 3, 9, 1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 2, 0, 1, 0, 12, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 7, 6, 0, 1, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 8, 3, 3, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 1, 5, 6, 2, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 2, 2, 9, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 1, 0, 2, 11, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 13, 0, 1, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 10, 3, 0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0, 1, 11, 1, 0, 2, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 2, 9, 1, 2, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 3, 6, 4, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 3, 7, 1, 4, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 4, 3, 7, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 4, 4, 4, 3, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 5, 1, 7, 2, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 9, 3, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 10, 0, 4, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 1, 6, 6, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 1, 7, 3, 3, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 2, 4, 6, 2, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 3, 1, 9, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 2, 0, 4, 8, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 2, 1, 1, 11, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 0, 6, 7, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 1, 3, 10, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 0]} (15, 16, 2) has 505 possible DDs: {[0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 3, 11, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 4, 8, 2, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 5, 6, 2, 2, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 5, 8, 0, 0, 1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 3, 5, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 6, 5, 2, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 1, 0, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 8, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 7, 2, 5, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 7, 3, 3, 0, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 7, 3, 3, 1, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 4, 0, 3, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 7, 5, 0, 0, 1, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 1, 3, 2, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 8, 2, 0, 5, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 8, 2, 2, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 3, 0, 1, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 3, 0, 2, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 2, 3, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 3, 0, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 3, 1, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 1, 0, 3, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 1, 1, 1, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 11, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 2, 9, 1, 2, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 3, 6, 4, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 3, 8, 1, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 3, 9, 0, 0, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 4, 3, 7, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 4, 5, 4, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 4, 6, 2, 0, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 4, 6, 2, 1, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 1, 5, 3, 5, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 1, 5, 4, 2, 2, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 5, 5, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 6, 1, 5, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 6, 2, 2, 4, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 6, 2, 4, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 6, 3, 1, 3, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 6, 3, 2, 0, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 6, 3, 2, 1, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 6, 4, 0, 1, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 0, 4, 2, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 0, 5, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 1, 2, 2, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 1, 3, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 2, 0, 3, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 7, 2, 1, 0, 4, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 8, 0, 0, 5, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 8, 0, 1, 2, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 9, 3, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 2, 0, 11, 0, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 1, 6, 6, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 2, 1, 8, 3, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 1, 9, 1, 0, 2, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 1, 9, 1, 1, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 6, 4, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 7, 1, 2, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 2, 8, 0, 1, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 4, 4, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 3, 5, 1, 4, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 3, 5, 3, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 6, 0, 3, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 6, 1, 0, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 6, 1, 1, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 4, 1, 7, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 4, 2, 4, 3, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 4, 3, 3, 2, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 2, 4, 3, 4, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 4, 4, 1, 2, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 2, 4, 4, 2, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 4, 5, 0, 0, 4, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 5, 0, 6, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 2, 5, 1, 4, 1, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 2, 5, 2, 1, 4, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 2, 5, 2, 2, 2, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 5, 3, 0, 2, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 6, 0, 1, 6, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 2, 6, 0, 2, 4, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 6, 0, 3, 1, 3, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 6, 1, 0, 4, 2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 6, 1, 1, 1, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 7, 3, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 3, 0, 8, 0, 4, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 3, 0, 8, 2, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 9, 0, 0, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 9, 0, 1, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 1, 4, 6, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 3, 1, 5, 3, 3, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 3, 1, 6, 2, 2, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 1, 6, 3, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 1, 7, 0, 2, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 1, 7, 1, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 2, 2, 6, 2, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 3, 2, 3, 5, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 2, 4, 3, 1, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 2, 5, 0, 4, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 2, 5, 1, 2, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 0, 8, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 1, 6, 0, 2, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 2, 3, 3, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 2, 4, 1, 1, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 0, 6, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 1, 4, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 2, 1, 3, 1, 0, 0, 0, 0], [0, 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