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[(1,), (2,), (3, 7), (4, 6), (5,), (8,), (9,)], [(1, 2), (3, 7, 4, 6), (5,), (8,), (9,)], [(1,), (2,), (3, 7, 4, 6), (5,), (8,), (9,)], [(1, 2), (3, 7, 4, 6, 5), (8,), (9,)], [(1,), (2,), (3, 7, 4, 6, 5), (8,), (9,)], [(1, 2), (3, 7, 5, 4, 6), (8,), (9,)], [(1,), (2,), (3, 7, 5, 4, 6), (8,), (9,)], [(1, 2), (3, 7, 5), (4, 6), (8,), (9,)], [(1,), (2,), (3, 7, 5), (4, 6), (8,), (9,)], [(1,), (2, 7, 6, 5), (3, 4), (8,), (9,)], [(1,), (2, 7, 6, 5, 3, 4), (8,), (9,)], [(1,), (2, 7, 6, 5, 3), (4,), (8,), (9,)], [(1,), (2, 7, 6, 5, 4), (3,), (8,), (9,)], [(1,), (2, 7, 6, 5, 4, 3), (8,), (9,)], [(1,), (2, 7, 6, 4), (3,), (5,), (8,), (9,)], [(1,), (2, 7, 6, 4, 3), (5,), (8,), (9,)], [(1,), (2, 7, 6, 3), (4, 5), (8,), (9,)], [(1,), (2, 7, 6, 4, 5, 3), (8,), (9,)], [(1,), (2, 7, 6), (3, 5), (4,), (8,), (9,)], [(1,), (2, 7, 6, 3, 5), (4,), (8,), (9,)], [(1,), (2, 7, 6, 3, 5, 4), (8,), (9,)], [(1,), (2, 7, 6, 4, 3, 5), (8,), (9,)], [(1,), (2, 7, 6, 4), (3, 5), (8,), (9,)], [(1,), (2, 7, 5), (3, 4), (6,), (8,), (9,)], [(1,), (2, 7, 5, 3, 4), (6,), (8,), (9,)], [(1,), (2, 7, 5, 3), (4,), (6,), (8,), (9,)], [(1,), (2, 7, 5, 4), (3,), (6,), (8,), (9,)], [(1,), (2, 7, 5, 4, 3), (6,), (8,), (9,)], [(1,), (2, 7, 4), (3,), (5, 6), (8,), (9,)], [(1,), (2, 7, 4, 3), (5, 6), (8,), (9,)], [(1,), (2, 7, 5, 6, 4), (3,), (8,), (9,)], [(1,), (2, 7, 5, 6, 4, 3), (8,), (9,)], [(1,), (2, 7, 3), (4, 6), (5,), (8,), (9,)], [(1,), (2, 7, 4, 6, 3), (5,), (8,), (9,)], [(1,), (2, 7, 4, 6, 5, 3), (8,), (9,)], [(1,), (2, 7, 5, 4, 6, 3), (8,), (9,)], [(1,), (2, 7, 5, 3), (4, 6), (8,), (9,)], [(1,), (2, 7, 5, 3, 6), (4,), (8,), (9,)], [(1,), (2, 7, 5), (3, 6), (4,), (8,), (9,)], [(1,), (2, 7, 5, 4), (3, 6), (8,), (9,)], [(1,), (2, 7, 5), (3, 6, 4), (8,), (9,)], [(1,), (2, 7, 5, 3, 6, 4), (8,), (9,)], [(1,), (2, 7, 4, 3, 6, 5), (8,), (9,)], [(1,), (2, 7, 4), (3, 6, 5), (8,), (9,)], [(1,), (2, 7, 3, 6, 4), (5,), (8,), (9,)], [(1,), (2, 7, 4), (3, 6), (5,), (8,), (9,)], [(1,), (2, 7), (3, 6), (4, 5), (8,), (9,)], [(1,), (2, 7, 3, 6), (4, 5), (8,), (9,)], [(1,), (2, 7, 3, 6, 4, 5), (8,), (9,)], [(1,), (2, 7, 4, 5, 3, 6), (8,), (9,)], [(1,), (2, 7, 4, 5), (3, 6), (8,), (9,)], [(1, 7, 6, 5, 4), (2, 3), (8,), (9,)], [(1, 7, 6, 5, 4, 2, 3), (8,), (9,)], [(1, 7, 6, 5, 4, 2), (3,), (8,), (9,)], [(1, 7, 6, 5, 4, 3), (2,), (8,), (9,)], [(1, 7, 6, 5, 4, 3, 2), (8,), (9,)], [(1, 7, 6, 5, 3), (2,), (4,), (8,), (9,)], [(1, 7, 6, 5, 3, 2), (4,), (8,), (9,)], [(1, 7, 6, 5, 2), (3, 4), (8,), (9,)], [(1, 7, 6, 5, 3, 4, 2), (8,), (9,)], [(1, 7, 6, 5), (2, 4), (3,), (8,), (9,)], [(1, 7, 6, 5, 2, 4), (3,), (8,), (9,)], [(1, 7, 6, 5, 2, 4, 3), (8,), (9,)], [(1, 7, 6, 5, 3, 2, 4), (8,), (9,)], [(1, 7, 6, 5, 3), (2, 4), (8,), (9,)], [(1, 7, 6, 4), (2, 3), (5,), (8,), (9,)], [(1, 7, 6, 4, 2, 3), (5,), (8,), (9,)], [(1, 7, 6, 4, 2), (3,), (5,), (8,), (9,)], [(1, 7, 6, 4, 3), (2,), (5,), (8,), (9,)], [(1, 7, 6, 4, 3, 2), (5,), (8,), (9,)], [(1, 7, 6, 3), (2,), (4, 5), (8,), (9,)], [(1, 7, 6, 3, 2), (4, 5), (8,), (9,)], [(1, 7, 6, 4, 5, 3), (2,), (8,), (9,)], [(1, 7, 6, 4, 5, 3, 2), (8,), (9,)], [(1, 7, 6, 2), (3, 5), (4,), (8,), (9,)], [(1, 7, 6, 3, 5, 2), (4,), (8,), (9,)], [(1, 7, 6, 3, 5, 4, 2), (8,), (9,)], [(1, 7, 6, 4, 3, 5, 2), (8,), (9,)], [(1, 7, 6, 4, 2), (3, 5), (8,), (9,)], [(1, 7, 6, 4, 2, 5), (3,), (8,), (9,)], [(1, 7, 6, 4), (2, 5), (3,), (8,), (9,)], [(1, 7, 6, 4, 3), (2, 5), (8,), (9,)], [(1, 7, 6, 4), (2, 5, 3), (8,), (9,)], [(1, 7, 6, 4, 2, 5, 3), (8,), (9,)], [(1, 7, 6, 3, 2, 5, 4), (8,), (9,)], [(1, 7, 6, 3), (2, 5, 4), (8,), (9,)], [(1, 7, 6, 2, 5, 3), (4,), (8,), (9,)], [(1, 7, 6, 3), (2, 5), (4,), (8,), (9,)], [(1, 7, 6), (2, 5), (3, 4), (8,), (9,)], [(1, 7, 6, 2, 5), (3, 4), (8,), (9,)], [(1, 7, 6, 2, 5, 3, 4), (8,), (9,)], [(1, 7, 6, 3, 4, 2, 5), (8,), (9,)], [(1, 7, 6, 3, 4), (2, 5), (8,), (9,)], [(1, 7, 5, 4), (2, 3), (6,), (8,), (9,)], [(1, 7, 5, 4, 2, 3), (6,), (8,), (9,)], [(1, 7, 5, 4, 2), (3,), (6,), (8,), (9,)], [(1, 7, 5, 4, 3), (2,), (6,), (8,), (9,)], [(1, 7, 5, 4, 3, 2), (6,), (8,), (9,)], [(1, 7, 5, 3), (2,), (4,), (6,), (8,), (9,)], [(1, 7, 5, 3, 2), (4,), (6,), (8,), (9,)], [(1, 7, 5, 2), (3, 4), (6,), (8,), (9,)], [(1, 7, 5, 3, 4, 2), (6,), (8,), (9,)], [(1, 7, 5), (2, 4), (3,), (6,), (8,), (9,)], [(1, 7, 5, 2, 4), (3,), (6,), (8,), (9,)], [(1, 7, 5, 2, 4, 3), (6,), (8,), (9,)], [(1, 7, 5, 3, 2, 4), (6,), (8,), (9,)], [(1, 7, 5, 3), (2, 4), (6,), (8,), (9,)], [(1, 7, 4), (2, 3), (5, 6), (8,), (9,)], [(1, 7, 4, 2, 3), (5, 6), (8,), (9,)], [(1, 7, 4, 2), (3,), (5, 6), (8,), (9,)], [(1, 7, 4, 3), (2,), (5, 6), (8,), (9,)], [(1, 7, 4, 3, 2), (5, 6), (8,), (9,)], [(1, 7, 5, 6, 4), (2, 3), (8,), (9,)], [(1, 7, 5, 6, 4, 2, 3), (8,), (9,)], [(1, 7, 5, 6, 4, 2), (3,), (8,), (9,)], [(1, 7, 5, 6, 4, 3), (2,), (8,), (9,)], [(1, 7, 5, 6, 4, 3, 2), (8,), (9,)], [(1, 7, 3), (2,), (4, 6), (5,), (8,), (9,)], [(1, 7, 3, 2), (4, 6), (5,), (8,), (9,)], [(1, 7, 4, 6, 3), (2,), (5,), (8,), (9,)], [(1, 7, 4, 6, 3, 2), (5,), (8,), (9,)], [(1, 7, 4, 6, 5, 3), (2,), (8,), (9,)], [(1, 7, 4, 6, 5, 3, 2), (8,), (9,)], [(1, 7, 5, 4, 6, 3), (2,), (8,), (9,)], [(1, 7, 5, 4, 6, 3, 2), (8,), (9,)], [(1, 7, 5, 3), (2,), (4, 6), (8,), (9,)], [(1, 7, 5, 3, 2), (4, 6), (8,), (9,)], [(1, 7, 5, 3, 6, 2), (4,), (8,), (9,)], [(1, 7, 5, 2), (3, 6), (4,), (8,), (9,)], [(1, 7, 5, 4, 2), (3, 6), (8,), (9,)], [(1, 7, 5, 2), (3, 6, 4), (8,), (9,)], [(1, 7, 5, 3, 6, 4, 2), (8,), (9,)], [(1, 7, 4, 3, 6, 5, 2), (8,), (9,)], [(1, 7, 4, 2), (3, 6, 5), (8,), (9,)], [(1, 7, 3, 6, 4, 2), (5,), (8,), (9,)], [(1, 7, 4, 2), (3, 6), (5,), (8,), (9,)], [(1, 7, 2), (3, 6), (4, 5), (8,), (9,)], [(1, 7, 3, 6, 2), (4, 5), (8,), (9,)], [(1, 7, 3, 6, 4, 5, 2), (8,), (9,)], [(1, 7, 4, 5, 3, 6, 2), (8,), (9,)], [(1, 7, 4, 5, 2), (3, 6), (8,), (9,)], [(1, 7, 5), (2, 6, 4), (3,), (8,), (9,)], [(1, 7, 5, 2, 6, 4), (3,), (8,), (9,)], [(1, 7, 5, 2, 6, 4, 3), (8,), (9,)], [(1, 7, 5, 3, 2, 6, 4), (8,), (9,)], [(1, 7, 5, 3), (2, 6, 4), (8,), (9,)], [(1, 7, 5, 4), (2, 6, 3), (8,), (9,)], [(1, 7, 5, 4, 2, 6, 3), (8,), (9,)], [(1, 7, 5, 3), (2, 6), (4,), (8,), (9,)], [(1, 7, 5, 2, 6, 3), (4,), (8,), (9,)], [(1, 7, 5, 2, 6), (3, 4), (8,), (9,)], [(1, 7, 5), (2, 6), (3, 4), (8,), (9,)], [(1, 7, 5, 3, 4), (2, 6), (8,), (9,)], [(1, 7, 5), (2, 6, 3, 4), (8,), (9,)], [(1, 7, 5, 2, 6, 3, 4), (8,), (9,)], [(1, 7, 4, 2, 6, 5), (3,), (8,), (9,)], [(1, 7, 4), (2, 6, 5), (3,), (8,), (9,)], [(1, 7, 4, 3), (2, 6, 5), (8,), (9,)], [(1, 7, 4), (2, 6, 5, 3), (8,), (9,)], [(1, 7, 4, 2, 6, 5, 3), (8,), (9,)], [(1, 7, 3, 2, 6, 4), (5,), (8,), (9,)], [(1, 7, 3), (2, 6, 4), (5,), (8,), (9,)], [(1, 7, 4), (2, 6, 3), (5,), (8,), (9,)], [(1, 7, 4, 2, 6, 3), (5,), (8,), (9,)], [(1, 7, 2, 6, 3), (4, 5), (8,), (9,)], [(1, 7, 3), (2, 6), (4, 5), (8,), (9,)], [(1, 7, 3), (2, 6, 4, 5), (8,), (9,)], [(1, 7, 4, 5, 3), (2, 6), (8,), (9,)], [(1, 7, 4, 5, 2, 6, 3), (8,), (9,)], [(1, 7, 4, 3, 5, 2, 6), (8,), (9,)], [(1, 7, 4, 3, 5), (2, 6), (8,), (9,)], [(1, 7, 4), (2, 6), (3, 5), (8,), (9,)], [(1, 7, 4, 2, 6, 3, 5), (8,), (9,)], [(1, 7, 4), (2, 6, 3, 5), (8,), (9,)], [(1, 7, 3, 5), (2, 6, 4), (8,), (9,)], [(1, 7, 3, 5, 2, 6, 4), (8,), (9,)], [(1, 7, 2, 6, 3, 5, 4), (8,), (9,)], [(1, 7, 3, 5, 4), (2, 6), (8,), (9,)], [(1, 7), (2, 6), (3, 5), (4,), (8,), (9,)], [(1, 7, 2, 6), (3, 5), (4,), (8,), (9,)], [(1, 7, 2, 6, 3, 5), (4,), (8,), (9,)], [(1, 7, 3, 5, 2, 6), (4,), (8,), (9,)], [(1, 7, 3, 5), (2, 6), (4,), (8,), (9,)], [(1, 3), (2,), (4,), (5,), (6,), (7, 8), (9,)], [(1, 3, 2), (4,), (5,), (6,), (7, 8), (9,)], [(1,), (2, 3), (4,), (5,), (6,), (7, 8), (9,)], [(1, 2), (3,), (4,), (5,), (6,), (7, 8), (9,)], [(1,), (2,), (3,), (4,), (5,), (6,), (7, 8), (9,)], [(1, 2), (3, 4), (5,), (6,), (7, 8), (9,)], [(1,), (2,), (3, 4), (5,), (6,), (7, 8), (9,)], [(1,), (2, 4), (3,), (5,), (6,), (7, 8), (9,)], [(1,), (2, 4, 3), (5,), (6,), (7, 8), (9,)], [(1, 4), (2, 3), (5,), (6,), (7, 8), (9,)], [(1, 4, 2, 3), (5,), (6,), (7, 8), (9,)], [(1, 4, 2), (3,), (5,), (6,), (7, 8), (9,)], [(1, 4, 3), (2,), (5,), (6,), (7, 8), (9,)], [(1, 4, 3, 2), (5,), (6,), (7, 8), (9,)], [(1, 3), (2,), (4, 5), (6,), (7, 8), (9,)], [(1, 3, 2), (4, 5), (6,), (7, 8), (9,)], [(1,), (2, 3), (4, 5), (6,), (7, 8), (9,)], [(1, 2), (3,), (4, 5), (6,), (7, 8), (9,)], [(1,), (2,), (3,), (4, 5), (6,), (7, 8), (9,)], [(1, 2), (3, 5), (4,), (6,), (7, 8), (9,)], [(1,), (2,), (3, 5), (4,), (6,), (7, 8), (9,)], [(1, 2), (3, 5, 4), (6,), (7, 8), (9,)], [(1,), (2,), (3, 5, 4), (6,), (7, 8), (9,)], [(1,), (2, 5), (3, 4), (6,), (7, 8), (9,)], [(1,), (2, 5, 3, 4), (6,), (7, 8), (9,)], [(1,), (2, 5, 3), (4,), (6,), (7, 8), (9,)], [(1,), (2, 5, 4), (3,), (6,), (7, 8), (9,)], [(1,), (2, 5, 4, 3), (6,), (7, 8), (9,)], [(1, 5, 4), (2, 3), (6,), (7, 8), (9,)], [(1, 5, 4, 2, 3), (6,), (7, 8), (9,)], [(1, 5, 4, 2), (3,), (6,), (7, 8), (9,)], [(1, 5, 4, 3), (2,), (6,), (7, 8), (9,)], [(1, 5, 4, 3, 2), (6,), (7, 8), (9,)], [(1, 5, 3), (2,), (4,), (6,), (7, 8), (9,)], [(1, 5, 3, 2), (4,), (6,), (7, 8), (9,)], [(1, 5, 2), (3, 4), (6,), (7, 8), (9,)], [(1, 5, 3, 4, 2), (6,), (7, 8), (9,)], [(1, 5), (2, 4), (3,), (6,), (7, 8), (9,)], [(1, 5, 2, 4), (3,), (6,), (7, 8), (9,)], [(1, 5, 2, 4, 3), (6,), (7, 8), (9,)], [(1, 5, 3, 2, 4), (6,), (7, 8), (9,)], [(1, 5, 3), (2, 4), (6,), (7, 8), (9,)], [(1, 3), (2,), (4,), (5, 6), (7, 8), (9,)], [(1, 3, 2), (4,), (5, 6), (7, 8), (9,)], [(1,), (2, 3), (4,), (5, 6), (7, 8), (9,)], [(1, 2), (3,), (4,), (5, 6), (7, 8), (9,)], [(1,), (2,), (3,), (4,), (5, 6), (7, 8), (9,)], [(1, 2), (3, 4), (5, 6), (7, 8), (9,)], [(1,), (2,), (3, 4), (5, 6), (7, 8), (9,)], [(1,), (2, 4), (3,), (5, 6), (7, 8), (9,)], [(1,), (2, 4, 3), (5, 6), (7, 8), (9,)], [(1, 4), (2, 3), (5, 6), (7, 8), (9,)], [(1, 4, 2, 3), (5, 6), (7, 8), (9,)], [(1, 4, 2), (3,), (5, 6), (7, 8), (9,)], [(1, 4, 3), (2,), (5, 6), (7, 8), (9,)], [(1, 4, 3, 2), (5, 6), (7, 8), (9,)], [(1, 3), (2,), (4, 6), (5,), (7, 8), (9,)], [(1, 3, 2), (4, 6), (5,), (7, 8), (9,)], [(1,), (2, 3), (4, 6), (5,), (7, 8), (9,)], [(1, 2), (3,), (4, 6), (5,), (7, 8), (9,)], [(1,), (2,), (3,), (4, 6), (5,), (7, 8), (9,)], [(1, 3), (2,), (4, 6, 5), (7, 8), (9,)], [(1, 3, 2), (4, 6, 5), (7, 8), (9,)], [(1,), (2, 3), (4, 6, 5), (7, 8), (9,)], [(1, 2), (3,), (4, 6, 5), (7, 8), (9,)], [(1,), (2,), (3,), (4, 6, 5), (7, 8), (9,)], [(1, 2), (3, 6), (4, 5), (7, 8), (9,)], [(1,), (2,), (3, 6), (4, 5), (7, 8), (9,)], [(1, 2), (3, 6, 4, 5), (7, 8), (9,)], [(1,), (2,), (3, 6, 4, 5), (7, 8), (9,)], [(1, 2), (3, 6, 4), (5,), (7, 8), (9,)], [(1,), (2,), (3, 6, 4), (5,), (7, 8), (9,)], [(1, 2), (3, 6, 5), (4,), (7, 8), (9,)], [(1,), (2,), (3, 6, 5), (4,), (7, 8), (9,)], [(1, 2), (3, 6, 5, 4), (7, 8), (9,)], [(1,), (2,), (3, 6, 5, 4), (7, 8), (9,)], [(1,), (2, 6, 5), (3, 4), (7, 8), (9,)], [(1,), (2, 6, 5, 3, 4), (7, 8), (9,)], [(1,), (2, 6, 5, 3), (4,), (7, 8), (9,)], [(1,), (2, 6, 5, 4), (3,), (7, 8), (9,)], [(1,), (2, 6, 5, 4, 3), (7, 8), (9,)], [(1,), (2, 6, 4), (3,), (5,), (7, 8), (9,)], [(1,), (2, 6, 4, 3), (5,), (7, 8), (9,)], [(1,), (2, 6, 3), (4, 5), (7, 8), (9,)], [(1,), (2, 6, 4, 5, 3), (7, 8), (9,)], [(1,), (2, 6), (3, 5), (4,), (7, 8), (9,)], [(1,), (2, 6, 3, 5), (4,), (7, 8), (9,)], [(1,), (2, 6, 3, 5, 4), (7, 8), (9,)], [(1,), (2, 6, 4, 3, 5), (7, 8), (9,)], [(1,), (2, 6, 4), (3, 5), (7, 8), (9,)], [(1, 6, 5, 4), (2, 3), (7, 8), (9,)], [(1, 6, 5, 4, 2, 3), (7, 8), (9,)], [(1, 6, 5, 4, 2), (3,), (7, 8), (9,)], [(1, 6, 5, 4, 3), (2,), (7, 8), (9,)], [(1, 6, 5, 4, 3, 2), (7, 8), (9,)], [(1, 6, 5, 3), (2,), (4,), (7, 8), (9,)], [(1, 6, 5, 3, 2), (4,), (7, 8), (9,)], [(1, 6, 5, 2), (3, 4), (7, 8), (9,)], [(1, 6, 5, 3, 4, 2), (7, 8), (9,)], [(1, 6, 5), (2, 4), (3,), (7, 8), (9,)], [(1, 6, 5, 2, 4), (3,), (7, 8), (9,)], [(1, 6, 5, 2, 4, 3), (7, 8), (9,)], [(1, 6, 5, 3, 2, 4), (7, 8), (9,)], [(1, 6, 5, 3), (2, 4), (7, 8), (9,)], [(1, 6, 4), (2, 3), (5,), (7, 8), (9,)], [(1, 6, 4, 2, 3), (5,), (7, 8), (9,)], [(1, 6, 4, 2), (3,), (5,), (7, 8), (9,)], [(1, 6, 4, 3), (2,), (5,), (7, 8), (9,)], [(1, 6, 4, 3, 2), (5,), (7, 8), (9,)], [(1, 6, 3), (2,), (4, 5), (7, 8), (9,)], [(1, 6, 3, 2), (4, 5), (7, 8), (9,)], [(1, 6, 4, 5, 3), (2,), (7, 8), (9,)], [(1, 6, 4, 5, 3, 2), (7, 8), (9,)], [(1, 6, 2), (3, 5), (4,), (7, 8), (9,)], [(1, 6, 3, 5, 2), (4,), (7, 8), (9,)], [(1, 6, 3, 5, 4, 2), (7, 8), (9,)], [(1, 6, 4, 3, 5, 2), (7, 8), (9,)], [(1, 6, 4, 2), (3, 5), (7, 8), (9,)], [(1, 6, 4, 2, 5), (3,), (7, 8), (9,)], [(1, 6, 4), (2, 5), (3,), (7, 8), (9,)], [(1, 6, 4, 3), (2, 5), (7, 8), (9,)], [(1, 6, 4), (2, 5, 3), (7, 8), (9,)], [(1, 6, 4, 2, 5, 3), (7, 8), (9,)], [(1, 6, 3, 2, 5, 4), (7, 8), (9,)], [(1, 6, 3), (2, 5, 4), (7, 8), (9,)], [(1, 6, 2, 5, 3), (4,), (7, 8), (9,)], [(1, 6, 3), (2, 5), (4,), (7, 8), (9,)], [(1, 6), (2, 5), (3, 4), (7, 8), (9,)], [(1, 6, 2, 5), (3, 4), (7, 8), (9,)], [(1, 6, 2, 5, 3, 4), (7, 8), (9,)], [(1, 6, 3, 4, 2, 5), (7, 8), (9,)], [(1, 6, 3, 4), (2, 5), (7, 8), (9,)], [(1, 3), (2,), (4,), (5,), (6, 8), (7,), (9,)], [(1, 3, 2), (4,), (5,), (6, 8), (7,), (9,)], [(1,), (2, 3), (4,), 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[(1,), (2,), (3,), (4, 8, 6, 5, 7), (9,)], [(1, 3), (2,), (4, 8, 6), (5, 7), (9,)], [(1, 3, 2), (4, 8, 6), (5, 7), (9,)], [(1,), (2, 3), (4, 8, 6), (5, 7), (9,)], [(1, 2), (3,), (4, 8, 6), (5, 7), (9,)], [(1,), (2,), (3,), (4, 8, 6), (5, 7), (9,)], [(1, 2), (3, 8, 7, 6), (4, 5), (9,)], [(1,), (2,), (3, 8, 7, 6), (4, 5), (9,)], [(1, 2), (3, 8, 7, 6, 4, 5), (9,)], [(1,), (2,), (3, 8, 7, 6, 4, 5), (9,)], [(1, 2), (3, 8, 7, 6, 4), (5,), (9,)], [(1,), (2,), (3, 8, 7, 6, 4), (5,), (9,)], [(1, 2), (3, 8, 7, 6, 5), (4,), (9,)], [(1,), (2,), (3, 8, 7, 6, 5), (4,), (9,)], [(1, 2), (3, 8, 7, 6, 5, 4), (9,)], [(1,), (2,), (3, 8, 7, 6, 5, 4), (9,)], [(1, 2), (3, 8, 7, 5), (4,), (6,), (9,)], [(1,), (2,), (3, 8, 7, 5), (4,), (6,), (9,)], [(1, 2), (3, 8, 7, 5, 4), (6,), (9,)], [(1,), (2,), (3, 8, 7, 5, 4), (6,), (9,)], [(1, 2), (3, 8, 7, 4), (5, 6), (9,)], [(1,), (2,), (3, 8, 7, 4), (5, 6), (9,)], [(1, 2), (3, 8, 7, 5, 6, 4), (9,)], [(1,), (2,), (3, 8, 7, 5, 6, 4), (9,)], [(1, 2), (3, 8, 7), (4, 6), (5,), (9,)], [(1,), (2,), (3, 8, 7), (4, 6), (5,), (9,)], [(1, 2), (3, 8, 7, 4, 6), (5,), (9,)], [(1,), (2,), (3, 8, 7, 4, 6), (5,), (9,)], [(1, 2), (3, 8, 7, 4, 6, 5), (9,)], [(1,), (2,), (3, 8, 7, 4, 6, 5), (9,)], [(1, 2), (3, 8, 7, 5, 4, 6), (9,)], [(1,), (2,), (3, 8, 7, 5, 4, 6), (9,)], [(1, 2), (3, 8, 7, 5), (4, 6), (9,)], [(1,), (2,), (3, 8, 7, 5), (4, 6), (9,)], [(1, 2), (3, 8, 6), (4, 5), (7,), (9,)], [(1,), (2,), (3, 8, 6), (4, 5), (7,), (9,)], [(1, 2), (3, 8, 6, 4, 5), (7,), (9,)], [(1,), (2,), (3, 8, 6, 4, 5), (7,), (9,)], [(1, 2), (3, 8, 6, 4), (5,), (7,), (9,)], [(1,), (2,), (3, 8, 6, 4), (5,), (7,), (9,)], [(1, 2), (3, 8, 6, 5), (4,), (7,), (9,)], [(1,), (2,), (3, 8, 6, 5), (4,), (7,), (9,)], [(1, 2), (3, 8, 6, 5, 4), (7,), (9,)], [(1,), (2,), (3, 8, 6, 5, 4), (7,), (9,)], [(1, 2), (3, 8, 5), (4,), (6, 7), (9,)], [(1,), (2,), (3, 8, 5), (4,), (6, 7), (9,)], [(1, 2), (3, 8, 5, 4), (6, 7), (9,)], [(1,), (2,), (3, 8, 5, 4), (6, 7), (9,)], [(1, 2), (3, 8, 6, 7, 5), (4,), (9,)], [(1,), (2,), (3, 8, 6, 7, 5), (4,), (9,)], [(1, 2), (3, 8, 6, 7, 5, 4), (9,)], [(1,), (2,), (3, 8, 6, 7, 5, 4), (9,)], [(1, 2), (3, 8, 4), (5, 7), (6,), (9,)], [(1,), (2,), (3, 8, 4), (5, 7), (6,), (9,)], [(1, 2), (3, 8, 5, 7, 4), (6,), (9,)], [(1,), (2,), (3, 8, 5, 7, 4), (6,), (9,)], [(1, 2), (3, 8, 5, 7, 6, 4), (9,)], [(1,), (2,), (3, 8, 5, 7, 6, 4), (9,)], [(1, 2), (3, 8, 6, 5, 7, 4), (9,)], [(1,), (2,), (3, 8, 6, 5, 7, 4), (9,)], [(1, 2), (3, 8, 6, 4), (5, 7), (9,)], [(1,), (2,), (3, 8, 6, 4), (5, 7), (9,)], [(1, 2), (3, 8, 6, 4, 7), (5,), (9,)], [(1,), (2,), (3, 8, 6, 4, 7), (5,), (9,)], [(1, 2), (3, 8, 6), (4, 7), (5,), (9,)], [(1,), (2,), (3, 8, 6), (4, 7), (5,), (9,)], [(1, 2), (3, 8, 6, 5), (4, 7), (9,)], [(1,), (2,), (3, 8, 6, 5), (4, 7), (9,)], [(1, 2), (3, 8, 6), (4, 7, 5), (9,)], [(1,), (2,), (3, 8, 6), (4, 7, 5), (9,)], [(1, 2), (3, 8, 6, 4, 7, 5), (9,)], [(1,), (2,), (3, 8, 6, 4, 7, 5), (9,)], [(1, 2), (3, 8, 5, 4, 7, 6), (9,)], [(1,), (2,), (3, 8, 5, 4, 7, 6), (9,)], [(1, 2), (3, 8, 5), (4, 7, 6), (9,)], [(1,), (2,), (3, 8, 5), (4, 7, 6), (9,)], [(1, 2), (3, 8, 4, 7, 5), (6,), (9,)], [(1,), (2,), (3, 8, 4, 7, 5), (6,), (9,)], [(1, 2), (3, 8, 5), (4, 7), (6,), (9,)], [(1,), (2,), (3, 8, 5), (4, 7), (6,), (9,)], [(1, 2), (3, 8), (4, 7), (5, 6), (9,)], [(1,), (2,), (3, 8), (4, 7), (5, 6), (9,)], [(1, 2), (3, 8, 4, 7), (5, 6), (9,)], [(1,), (2,), (3, 8, 4, 7), (5, 6), (9,)], [(1, 2), (3, 8, 4, 7, 5, 6), (9,)], [(1,), (2,), (3, 8, 4, 7, 5, 6), (9,)], [(1, 2), (3, 8, 5, 6, 4, 7), (9,)], [(1,), (2,), (3, 8, 5, 6, 4, 7), (9,)], [(1, 2), (3, 8, 5, 6), (4, 7), (9,)], [(1,), (2,), (3, 8, 5, 6), (4, 7), (9,)], [(1,), (2, 8, 7, 6, 5), (3, 4), (9,)], [(1,), (2, 8, 7, 6, 5, 3, 4), (9,)], [(1,), (2, 8, 7, 6, 5, 3), (4,), (9,)], [(1,), (2, 8, 7, 6, 5, 4), (3,), (9,)], [(1,), (2, 8, 7, 6, 5, 4, 3), (9,)], [(1,), (2, 8, 7, 6, 4), (3,), (5,), (9,)], [(1,), (2, 8, 7, 6, 4, 3), (5,), (9,)], [(1,), (2, 8, 7, 6, 3), (4, 5), (9,)], [(1,), (2, 8, 7, 6, 4, 5, 3), (9,)], [(1,), (2, 8, 7, 6), (3, 5), (4,), (9,)], [(1,), (2, 8, 7, 6, 3, 5), (4,), (9,)], [(1,), (2, 8, 7, 6, 3, 5, 4), (9,)], [(1,), (2, 8, 7, 6, 4, 3, 5), (9,)], [(1,), (2, 8, 7, 6, 4), (3, 5), (9,)], [(1,), (2, 8, 7, 5), (3, 4), (6,), (9,)], [(1,), (2, 8, 7, 5, 3, 4), (6,), (9,)], [(1,), (2, 8, 7, 5, 3), (4,), (6,), (9,)], [(1,), (2, 8, 7, 5, 4), (3,), (6,), (9,)], [(1,), (2, 8, 7, 5, 4, 3), (6,), (9,)], [(1,), (2, 8, 7, 4), (3,), (5, 6), (9,)], [(1,), (2, 8, 7, 4, 3), (5, 6), (9,)], [(1,), (2, 8, 7, 5, 6, 4), (3,), (9,)], [(1,), (2, 8, 7, 5, 6, 4, 3), (9,)], [(1,), (2, 8, 7, 3), (4, 6), (5,), (9,)], [(1,), (2, 8, 7, 4, 6, 3), (5,), (9,)], [(1,), (2, 8, 7, 4, 6, 5, 3), (9,)], [(1,), (2, 8, 7, 5, 4, 6, 3), (9,)], [(1,), (2, 8, 7, 5, 3), (4, 6), (9,)], [(1,), (2, 8, 7, 5, 3, 6), (4,), (9,)], [(1,), (2, 8, 7, 5), (3, 6), (4,), (9,)], [(1,), (2, 8, 7, 5, 4), (3, 6), (9,)], [(1,), (2, 8, 7, 5), (3, 6, 4), (9,)], [(1,), (2, 8, 7, 5, 3, 6, 4), (9,)], [(1,), (2, 8, 7, 4, 3, 6, 5), (9,)], [(1,), (2, 8, 7, 4), (3, 6, 5), (9,)], [(1,), (2, 8, 7, 3, 6, 4), (5,), (9,)], [(1,), (2, 8, 7, 4), (3, 6), (5,), (9,)], [(1,), (2, 8, 7), (3, 6), (4, 5), (9,)], [(1,), (2, 8, 7, 3, 6), (4, 5), (9,)], [(1,), (2, 8, 7, 3, 6, 4, 5), (9,)], [(1,), (2, 8, 7, 4, 5, 3, 6), (9,)], [(1,), (2, 8, 7, 4, 5), (3, 6), (9,)], [(1,), (2, 8, 6, 5), (3, 4), (7,), (9,)], [(1,), (2, 8, 6, 5, 3, 4), (7,), (9,)], [(1,), (2, 8, 6, 5, 3), (4,), (7,), (9,)], [(1,), (2, 8, 6, 5, 4), (3,), (7,), (9,)], [(1,), (2, 8, 6, 5, 4, 3), (7,), (9,)], [(1,), (2, 8, 6, 4), (3,), (5,), (7,), (9,)], [(1,), (2, 8, 6, 4, 3), (5,), (7,), (9,)], [(1,), (2, 8, 6, 3), (4, 5), (7,), (9,)], [(1,), (2, 8, 6, 4, 5, 3), (7,), (9,)], [(1,), (2, 8, 6), (3, 5), (4,), (7,), (9,)], [(1,), (2, 8, 6, 3, 5), (4,), (7,), (9,)], [(1,), (2, 8, 6, 3, 5, 4), (7,), (9,)], [(1,), (2, 8, 6, 4, 3, 5), (7,), (9,)], [(1,), (2, 8, 6, 4), (3, 5), (7,), (9,)], [(1,), (2, 8, 5), (3, 4), (6, 7), (9,)], [(1,), (2, 8, 5, 3, 4), (6, 7), (9,)], [(1,), (2, 8, 5, 3), (4,), (6, 7), (9,)], [(1,), (2, 8, 5, 4), (3,), (6, 7), (9,)], [(1,), (2, 8, 5, 4, 3), (6, 7), (9,)], [(1,), (2, 8, 6, 7, 5), (3, 4), (9,)], [(1,), (2, 8, 6, 7, 5, 3, 4), (9,)], [(1,), (2, 8, 6, 7, 5, 3), (4,), (9,)], [(1,), (2, 8, 6, 7, 5, 4), (3,), (9,)], [(1,), (2, 8, 6, 7, 5, 4, 3), (9,)], [(1,), (2, 8, 4), (3,), (5, 7), (6,), (9,)], [(1,), (2, 8, 4, 3), (5, 7), (6,), (9,)], [(1,), (2, 8, 5, 7, 4), (3,), (6,), (9,)], [(1,), (2, 8, 5, 7, 4, 3), (6,), (9,)], [(1,), (2, 8, 5, 7, 6, 4), (3,), (9,)], [(1,), (2, 8, 5, 7, 6, 4, 3), (9,)], [(1,), (2, 8, 6, 5, 7, 4), (3,), (9,)], [(1,), (2, 8, 6, 5, 7, 4, 3), (9,)], [(1,), (2, 8, 6, 4), (3,), (5, 7), (9,)], [(1,), (2, 8, 6, 4, 3), (5, 7), (9,)], [(1,), (2, 8, 6, 4, 7, 3), (5,), (9,)], [(1,), (2, 8, 6, 3), (4, 7), (5,), (9,)], [(1,), (2, 8, 6, 5, 3), (4, 7), (9,)], [(1,), (2, 8, 6, 3), (4, 7, 5), (9,)], [(1,), (2, 8, 6, 4, 7, 5, 3), (9,)], [(1,), (2, 8, 5, 4, 7, 6, 3), (9,)], [(1,), (2, 8, 5, 3), (4, 7, 6), (9,)], [(1,), (2, 8, 4, 7, 5, 3), (6,), (9,)], [(1,), (2, 8, 5, 3), (4, 7), (6,), (9,)],[...]
[(1, 9, 7, 5, 2, 8, 6, 4, 3), (1, 9, 7, 5, 3, 2, 8, 6, 4), (1, 9, 7, 5, 4, 2, 8, 6, 3), (1, 9, 7, 5, 2, 8, 6, 3, 4), (1, 9, 7, 4, 2, 8, 6, 5, 3), (1, 9, 7, 4, 5, 2, 8, 6, 3), (1, 9, 7, 4, 3, 5, 2, 8, 6), (1, 9, 7, 4, 2, 8, 6, 3, 5), (1, 9, 7, 3, 5, 2, 8, 6, 4), (1, 9, 7, 2, 8, 6, 3, 5, 4), (1, 9, 7, 6, 4, 2, 8, 5, 3), (1, 9, 7, 6, 3, 2, 8, 5, 4), (1, 9, 7, 6, 2, 8, 5, 3, 4), (1, 9, 7, 6, 3, 4, 2, 8, 5), (1, 9, 7, 5, 6, 3, 2, 8, 4), (1, 9, 7, 3, 2, 8, 5, 6, 4), (1, 9, 7, 4, 2, 8, 5, 6, 3), (1, 9, 7, 2, 8, 5, 4, 6, 3), (1, 9, 7, 4, 6, 2, 8, 5, 3), (1, 9, 7, 5, 2, 8, 4, 6, 3), (1, 9, 7, 4, 6, 5, 2, 8, 3), (1, 9, 7, 4, 3, 6, 2, 8, 5), (1, 9, 7, 3, 6, 4, 2, 8, 5), (1, 9, 7, 3, 6, 2, 8, 5, 4), (1, 9, 7, 5, 2, 8, 4, 3, 6), (1, 9, 7, 5, 3, 6, 2, 8, 4), (1, 9, 7, 4, 2, 8, 3, 6, 5), (1, 9, 7, 3, 6, 5, 2, 8, 4), (1, 9, 7, 2, 8, 4, 5, 3, 6), (1, 9, 7, 3, 6, 2, 8, 4, 5), (1, 9, 7, 4, 5, 2, 8, 3, 6), (1, 9, 7, 2, 8, 3, 6, 4, 5), (1, 9, 6, 4, 2, 8, 7, 5, 3), (1, 9, 6, 3, 2, 8, 7, 5, 4), (1, 9, 6, 2, 8, 7, 5, 3, 4), (1, 9, 6, 3, 4, 2, 8, 7, 5), (1, 9, 6, 5, 2, 8, 7, 4, 3), (1, 9, 6, 5, 3, 2, 8, 7, 4), (1, 9, 6, 4, 5, 2, 8, 7, 3), (1, 9, 6, 2, 8, 7, 4, 5, 3), (1, 9, 6, 2, 8, 7, 4, 3, 5), (1, 9, 6, 3, 5, 2, 8, 7, 4), (1, 9, 6, 4, 2, 8, 7, 3, 5), (1, 9, 6, 2, 8, 7, 3, 5, 4), (1, 9, 5, 2, 8, 6, 7, 4, 3), (1, 9, 5, 3, 2, 8, 6, 7, 4), (1, 9, 6, 7, 5, 2, 8, 4, 3), (1, 9, 6, 7, 5, 3, 2, 8, 4), (1, 9, 6, 7, 4, 2, 8, 5, 3), (1, 9, 6, 5, 7, 4, 2, 8, 3), (1, 9, 6, 5, 7, 3, 2, 8, 4), (1, 9, 6, 4, 2, 8, 5, 7, 3), (1, 9, 6, 3, 2, 8, 5, 7, 4), (1, 9, 5, 7, 3, 2, 8, 6, 4), (1, 9, 5, 7, 4, 2, 8, 6, 3), (1, 9, 4, 2, 8, 5, 7, 6, 3), (1, 9, 5, 7, 6, 3, 2, 8, 4), (1, 9, 6, 2, 8, 5, 4, 7, 3), (1, 9, 6, 2, 8, 4, 7, 5, 3), (1, 9, 6, 5, 2, 8, 4, 7, 3), (1, 9, 5, 4, 7, 2, 8, 6, 3), (1, 9, 5, 2, 8, 6, 4, 7, 3), (1, 9, 4, 7, 6, 2, 8, 5, 3), (1, 9, 5, 2, 8, 4, 7, 6, 3), (1, 9, 5, 6, 4, 7, 2, 8, 3), (1, 9, 5, 6, 2, 8, 4, 7, 3), (1, 9, 4, 7, 2, 8, 5, 6, 3), (1, 9, 4, 7, 5, 6, 2, 8, 3), (1, 9, 6, 2, 8, 5, 3, 7, 4), (1, 9, 6, 3, 7, 4, 2, 8, 5), (1, 9, 6, 3, 7, 2, 8, 5, 4), (1, 9, 6, 2, 8, 4, 3, 7, 5), (1, 9, 6, 3, 7, 5, 2, 8, 4), (1, 9, 6, 5, 2, 8, 3, 7, 4), (1, 9, 6, 2, 8, 4, 5, 3, 7), (1, 9, 6, 3, 7, 2, 8, 4, 5), (1, 9, 6, 2, 8, 3, 7, 4, 5), (1, 9, 5, 2, 8, 6, 3, 7, 4), (1, 9, 4, 3, 7, 6, 2, 8, 5), (1, 9, 5, 2, 8, 4, 3, 7, 6), (1, 9, 5, 3, 7, 6, 2, 8, 4), (1, 9, 5, 6, 2, 8, 3, 7, 4), (1, 9, 5, 6, 3, 7, 2, 8, 4), (1, 9, 3, 7, 5, 6, 2, 8, 4), (1, 9, 5, 3, 7, 2, 8, 4, 6), (1, 9, 5, 2, 8, 3, 7, 4, 6), (1, 9, 5, 4, 6, 3, 7, 2, 8), (1, 9, 5, 4, 6, 2, 8, 3, 7), (1, 9, 4, 6, 2, 8, 5, 3, 7), (1, 9, 4, 6, 3, 7, 2, 8, 5), (1, 9, 3, 7, 5, 2, 8, 4, 6), (1, 9, 4, 6, 2, 8, 3, 7, 5), (1, 9, 2, 8, 3, 7, 4, 6, 5), (1, 9, 3, 7, 2, 8, 4, 6, 5)]
94
False
False
True
False
True
True
[[3, 2, 1, 4], [3, 1, 2, 4], [1, 3, 2, 4], [2, 1, 3, 4], [1, 2, 3, 4], [2, 1, 4, 3], [1, 2, 4, 3], [1, 4, 3, 2], [1, 4, 2, 3], [4, 3, 2, 1], [4, 3, 1, 2], [4, 1, 3, 2], [4, 2, 1, 3], [4, 1, 2, 3]]
14
[[6, 3, 2, 1, 4, 5], [6, 3, 1, 2, 4, 5], [6, 1, 3, 2, 4, 5], [6, 2, 1, 3, 4, 5], [6, 1, 2, 3, 4, 5], [6, 2, 1, 4, 3, 5], [6, 1, 2, 4, 3, 5], [6, 1, 4, 3, 2, 5], [6, 1, 4, 2, 3, 5], [6, 4, 3, 2, 1, 5], [6, 4, 3, 1, 2, 5], [6, 4, 1, 3, 2, 5], [6, 4, 2, 1, 3, 5], [6, 4, 1, 2, 3, 5], [6, 3, 2, 1, 5, 4], [6, 3, 1, 2, 5, 4], [6, 1, 3, 2, 5, 4], [6, 2, 1, 3, 5, 4], [6, 1, 2, 3, 5, 4], [6, 2, 1, 5, 4, 3], [6, 1, 2, 5, 4, 3], [6, 2, 1, 5, 3, 4], [6, 1, 2, 5, 3, 4], [6, 1, 5, 4, 3, 2], [6, 1, 5, 4, 2, 3], [6, 1, 5, 2, 4, 3], [6, 1, 5, 3, 2, 4], [6, 1, 5, 2, 3, 4], [6, 5, 3, 2, 1, 4], [6, 5, 3, 1, 2, 4], [6, 5, 1, 3, 2, 4], [6, 5, 2, 1, 3, 4], [6, 5, 1, 2, 3, 4], [6, 5, 2, 1, 4, 3], [6, 5, 1, 2, 4, 3], [6, 5, 1, 4, 3, 2], [6, 5, 1, 4, 2, 3], [6, 5, 4, 3, 2, 1], [6, 5, 4, 3, 1, 2], [6, 5, 4, 1, 3, 2], [6, 5, 4, 2, 1, 3], [6, 5, 4, 1, 2, 3]]
42
[[7, 6, 1, 3, 2, 4, 5], [7, 6, 2, 1, 4, 3, 5], [7, 6, 1, 2, 4, 3, 5], [7, 6, 1, 4, 2, 3, 5], [7, 6, 3, 1, 2, 5, 4], [7, 6, 1, 3, 2, 5, 4], [7, 6, 2, 1, 3, 5, 4], [7, 6, 2, 1, 5, 3, 4]]
8
[[7, 6, 1, 3, 2, 4, 5], [7, 6, 2, 1, 4, 3, 5], [7, 6, 1, 2, 4, 3, 5], [7, 6, 1, 3, 2, 5, 4], [7, 6, 2, 1, 3, 5, 4], [7, 6, 5, 2, 1, 4, 3]]
6
[12, 13, 12, 13, 13, 17]
6
39
[[3, 2, 1, 4, 5, 6], [3, 1, 2, 4, 5, 6], [1, 3, 2, 4, 5, 6], [2, 1, 3, 4, 5, 6], [1, 2, 3, 4, 5, 6], [2, 1, 4, 3, 5, 6], [1, 2, 4, 3, 5, 6], [1, 4, 3, 2, 5, 6], [1, 4, 2, 3, 5, 6], [4, 3, 2, 1, 5, 6], [4, 3, 1, 2, 5, 6], [4, 1, 3, 2, 5, 6], [4, 2, 1, 3, 5, 6], [4, 1, 2, 3, 5, 6], [3, 2, 1, 5, 4, 6], [3, 1, 2, 5, 4, 6], [1, 3, 2, 5, 4, 6], [2, 1, 3, 5, 4, 6], [1, 2, 3, 5, 4, 6], [2, 1, 5, 4, 3, 6], [1, 2, 5, 4, 3, 6], [2, 1, 5, 3, 4, 6], [1, 2, 5, 3, 4, 6], [1, 5, 4, 3, 2, 6], [1, 5, 4, 2, 3, 6], [1, 5, 2, 4, 3, 6], [1, 5, 3, 2, 4, 6], [1, 5, 2, 3, 4, 6], [5, 3, 2, 1, 4, 6], [5, 3, 1, 2, 4, 6], [5, 1, 3, 2, 4, 6], [5, 2, 1, 3, 4, 6], [5, 1, 2, 3, 4, 6], [5, 2, 1, 4, 3, 6], [5, 1, 2, 4, 3, 6], [5, 1, 4, 3, 2, 6], [5, 1, 4, 2, 3, 6], [5, 4, 3, 2, 1, 6], [5, 4, 3, 1, 2, 6], [5, 4, 1, 3, 2, 6], [5, 4, 2, 1, 3, 6], [5, 4, 1, 2, 3, 6], [3, 2, 1, 4, 6, 5], [3, 1, 2, 4, 6, 5], [1, 3, 2, 4, 6, 5], [2, 1, 3, 4, 6, 5], [1, 2, 3, 4, 6, 5], [2, 1, 4, 3, 6, 5], [1, 2, 4, 3, 6, 5], [1, 4, 3, 2, 6, 5], [1, 4, 2, 3, 6, 5], [4, 3, 2, 1, 6, 5], [4, 3, 1, 2, 6, 5], [4, 1, 3, 2, 6, 5], [4, 2, 1, 3, 6, 5], [4, 1, 2, 3, 6, 5], [3, 2, 1, 6, 5, 4], [3, 1, 2, 6, 5, 4], [1, 3, 2, 6, 5, 4], [2, 1, 3, 6, 5, 4], [1, 2, 3, 6, 5, 4], [3, 2, 1, 6, 4, 5], [3, 1, 2, 6, 4, 5], [1, 3, 2, 6, 4, 5], [2, 1, 3, 6, 4, 5], [1, 2, 3, 6, 4, 5], [2, 1, 6, 5, 4, 3], [1, 2, 6, 5, 4, 3], [2, 1, 6, 5, 3, 4], [1, 2, 6, 5, 3, 4], [2, 1, 6, 3, 5, 4], [1, 2, 6, 3, 5, 4], [2, 1, 6, 4, 3, 5], [1, 2, 6, 4, 3, 5], [2, 1, 6, 3, 4, 5], [1, 2, 6, 3, 4, 5], [1, 6, 4, 3, 2, 5], [1, 6, 4, 2, 3, 5], [1, 6, 2, 4, 3, 5], [1, 6, 3, 2, 4, 5], [1, 6, 2, 3, 4, 5], [1, 6, 3, 2, 5, 4], [1, 6, 2, 3, 5, 4], [1, 6, 2, 5, 4, 3], [1, 6, 2, 5, 3, 4], [1, 6, 5, 4, 3, 2], [1, 6, 5, 4, 2, 3], [1, 6, 5, 2, 4, 3], [1, 6, 5, 3, 2, 4], [1, 6, 5, 2, 3, 4], [6, 3, 2, 1, 4, 5], [6, 3, 1, 2, 4, 5], [6, 1, 3, 2, 4, 5], [6, 2, 1, 3, 4, 5], [6, 1, 2, 3, 4, 5], [6, 2, 1, 4, 3, 5], [6, 1, 2, 4, 3, 5], [6, 1, 4, 3, 2, 5], [6, 1, 4, 2, 3, 5], [6, 4, 3, 2, 1, 5], [6, 4, 3, 1, 2, 5], [6, 4, 1, 3, 2, 5], [6, 4, 2, 1, 3, 5], [6, 4, 1, 2, 3, 5], [6, 3, 2, 1, 5, 4], [6, 3, 1, 2, 5, 4], [6, 1, 3, 2, 5, 4], [6, 2, 1, 3, 5, 4], [6, 1, 2, 3, 5, 4], [6, 2, 1, 5, 4, 3], [6, 1, 2, 5, 4, 3], [6, 2, 1, 5, 3, 4], [6, 1, 2, 5, 3, 4], [6, 1, 5, 4, 3, 2], [6, 1, 5, 4, 2, 3], [6, 1, 5, 2, 4, 3], [6, 1, 5, 3, 2, 4], [6, 1, 5, 2, 3, 4], [6, 5, 3, 2, 1, 4], [6, 5, 3, 1, 2, 4], [6, 5, 1, 3, 2, 4], [6, 5, 2, 1, 3, 4], [6, 5, 1, 2, 3, 4], [6, 5, 2, 1, 4, 3], [6, 5, 1, 2, 4, 3], [6, 5, 1, 4, 3, 2], [6, 5, 1, 4, 2, 3], [6, 5, 4, 3, 2, 1], [6, 5, 4, 3, 1, 2], [6, 5, 4, 1, 3, 2], [6, 5, 4, 2, 1, 3], [6, 5, 4, 1, 2, 3]]
[[(1, 3), (2,), (4,), (5,), (6,)], [(1, 3, 2), (4,), (5,), (6,)], [(1,), (2, 3), (4,), (5,), (6,)], [(1, 2), (3,), (4,), (5,), (6,)], [(1,), (2,), (3,), (4,), (5,), (6,)], [(1, 2), (3, 4), (5,), (6,)], [(1,), (2,), (3, 4), (5,), (6,)], [(1,), (2, 4), (3,), (5,), (6,)], [(1,), (2, 4, 3), (5,), (6,)], [(1, 4), (2, 3), (5,), (6,)], [(1, 4, 2, 3), (5,), (6,)], [(1, 4, 2), (3,), (5,), (6,)], [(1, 4, 3), (2,), (5,), (6,)], [(1, 4, 3, 2), (5,), (6,)], [(1, 3), (2,), (4, 5), (6,)], [(1, 3, 2), (4, 5), (6,)], [(1,), (2, 3), (4, 5), (6,)], [(1, 2), (3,), (4, 5), (6,)], [(1,), (2,), (3,), (4, 5), (6,)], [(1, 2), (3, 5), (4,), (6,)], [(1,), (2,), (3, 5), (4,), (6,)], [(1, 2), (3, 5, 4), (6,)], [(1,), (2,), (3, 5, 4), (6,)], [(1,), (2, 5), (3, 4), (6,)], [(1,), (2, 5, 3, 4), (6,)], [(1,), (2, 5, 3), (4,), (6,)], [(1,), (2, 5, 4), (3,), (6,)], [(1,), (2, 5, 4, 3), (6,)], [(1, 5, 4), (2, 3), (6,)], [(1, 5, 4, 2, 3), (6,)], [(1, 5, 4, 2), (3,), (6,)], [(1, 5, 4, 3), (2,), (6,)], [(1, 5, 4, 3, 2), (6,)], [(1, 5, 3), (2,), (4,), (6,)], [(1, 5, 3, 2), (4,), (6,)], [(1, 5, 2), (3, 4), (6,)], [(1, 5, 3, 4, 2), (6,)], [(1, 5), (2, 4), (3,), (6,)], [(1, 5, 2, 4), (3,), (6,)], [(1, 5, 2, 4, 3), (6,)], [(1, 5, 3, 2, 4), (6,)], [(1, 5, 3), (2, 4), (6,)], [(1, 3), (2,), (4,), (5, 6)], [(1, 3, 2), (4,), (5, 6)], [(1,), (2, 3), (4,), (5, 6)], [(1, 2), (3,), (4,), (5, 6)], [(1,), (2,), (3,), (4,), (5, 6)], [(1, 2), (3, 4), (5, 6)], [(1,), (2,), (3, 4), (5, 6)], [(1,), (2, 4), (3,), (5, 6)], [(1,), (2, 4, 3), (5, 6)], [(1, 4), (2, 3), (5, 6)], [(1, 4, 2, 3), (5, 6)], [(1, 4, 2), (3,), (5, 6)], [(1, 4, 3), (2,), (5, 6)], [(1, 4, 3, 2), (5, 6)], [(1, 3), (2,), (4, 6), (5,)], [(1, 3, 2), (4, 6), (5,)], [(1,), (2, 3), (4, 6), (5,)], [(1, 2), (3,), (4, 6), (5,)], [(1,), (2,), (3,), (4, 6), (5,)], [(1, 3), (2,), (4, 6, 5)], [(1, 3, 2), (4, 6, 5)], [(1,), (2, 3), (4, 6, 5)], [(1, 2), (3,), (4, 6, 5)], [(1,), (2,), (3,), (4, 6, 5)], [(1, 2), (3, 6), (4, 5)], [(1,), (2,), (3, 6), (4, 5)], [(1, 2), (3, 6, 4, 5)], [(1,), (2,), (3, 6, 4, 5)], [(1, 2), (3, 6, 4), (5,)], [(1,), (2,), (3, 6, 4), (5,)], [(1, 2), (3, 6, 5), (4,)], [(1,), (2,), (3, 6, 5), (4,)], [(1, 2), (3, 6, 5, 4)], [(1,), (2,), (3, 6, 5, 4)], [(1,), (2, 6, 5), (3, 4)], [(1,), (2, 6, 5, 3, 4)], [(1,), (2, 6, 5, 3), (4,)], [(1,), (2, 6, 5, 4), (3,)], [(1,), (2, 6, 5, 4, 3)], [(1,), (2, 6, 4), (3,), (5,)], [(1,), (2, 6, 4, 3), (5,)], [(1,), (2, 6, 3), (4, 5)], [(1,), (2, 6, 4, 5, 3)], [(1,), (2, 6), (3, 5), (4,)], [(1,), (2, 6, 3, 5), (4,)], [(1,), (2, 6, 3, 5, 4)], [(1,), (2, 6, 4, 3, 5)], [(1,), (2, 6, 4), (3, 5)], [(1, 6, 5, 4), (2, 3)], [(1, 6, 5, 4, 2, 3)], [(1, 6, 5, 4, 2), (3,)], [(1, 6, 5, 4, 3), (2,)], [(1, 6, 5, 4, 3, 2)], [(1, 6, 5, 3), (2,), (4,)], [(1, 6, 5, 3, 2), (4,)], [(1, 6, 5, 2), (3, 4)], [(1, 6, 5, 3, 4, 2)], [(1, 6, 5), (2, 4), (3,)], [(1, 6, 5, 2, 4), (3,)], [(1, 6, 5, 2, 4, 3)], [(1, 6, 5, 3, 2, 4)], [(1, 6, 5, 3), (2, 4)], [(1, 6, 4), (2, 3), (5,)], [(1, 6, 4, 2, 3), (5,)], [(1, 6, 4, 2), (3,), (5,)], [(1, 6, 4, 3), (2,), (5,)], [(1, 6, 4, 3, 2), (5,)], [(1, 6, 3), (2,), (4, 5)], [(1, 6, 3, 2), (4, 5)], [(1, 6, 4, 5, 3), (2,)], [(1, 6, 4, 5, 3, 2)], [(1, 6, 2), (3, 5), (4,)], [(1, 6, 3, 5, 2), (4,)], [(1, 6, 3, 5, 4, 2)], [(1, 6, 4, 3, 5, 2)], [(1, 6, 4, 2), (3, 5)], [(1, 6, 4, 2, 5), (3,)], [(1, 6, 4), (2, 5), (3,)], [(1, 6, 4, 3), (2, 5)], [(1, 6, 4), (2, 5, 3)], [(1, 6, 4, 2, 5, 3)], [(1, 6, 3, 2, 5, 4)], [(1, 6, 3), (2, 5, 4)], [(1, 6, 2, 5, 3), (4,)], [(1, 6, 3), (2, 5), (4,)], [(1, 6), (2, 5), (3, 4)], [(1, 6, 2, 5), (3, 4)], [(1, 6, 2, 5, 3, 4)], [(1, 6, 3, 4, 2, 5)], [(1, 6, 3, 4), (2, 5)]]
[[(1, 6, 5, 4, 2, 3)], [(1, 6, 5, 4, 3, 2)], [(1, 6, 5, 3, 4, 2)], [(1, 6, 5, 2, 4, 3)], [(1, 6, 5, 3, 2, 4)], [(1, 6, 4, 5, 3, 2)], [(1, 6, 3, 5, 4, 2)], [(1, 6, 4, 3, 5, 2)], [(1, 6, 4, 2, 5, 3)], [(1, 6, 3, 2, 5, 4)], [(1, 6, 2, 5, 3, 4)], [(1, 6, 3, 4, 2, 5)]]
12
Error in lines 18-19
Traceback (most recent call last):
File "/projects/sage/sage-7.3/local/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 976, in execute
exec compile(block+'\n', '', 'single') in namespace, locals
File "", line 2, in <module>
IndexError: list index out of range
[7, 5, 7, 9, 9, 7, 9, 9, 9, 11, 13, 13]
12
[[1, 7, 5, 2, 6, 4, 3], [1, 7, 5, 3, 2, 6, 4], [1, 7, 5, 4, 2, 6, 3], [1, 7, 5, 2, 6, 3, 4], [1, 7, 4, 2, 6, 5, 3], [1, 7, 4, 5, 2, 6, 3], [1, 7, 4, 3, 5, 2, 6], [1, 7, 4, 2, 6, 3, 5], [1, 7, 3, 5, 2, 6, 4], [1, 7, 2, 6, 3, 5, 4], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], [], []]
[11, 10, 11, 10, 10, 10, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
33
[[(1, 7, 6, 5, 4), (2, 3)], [(1, 7, 6, 5, 4, 2, 3)], [(1, 7, 6, 5, 4, 2), (3,)], [(1, 7, 6, 5, 4, 3), (2,)], [(1, 7, 6, 5, 4, 3, 2)], [(1, 7, 6, 5, 3), (2,), (4,)], [(1, 7, 6, 5, 3, 2), (4,)], [(1, 7, 6, 5, 2), (3, 4)], [(1, 7, 6, 5, 3, 4, 2)], [(1, 7, 6, 5), (2, 4), (3,)], [(1, 7, 6, 5, 2, 4), (3,)], [(1, 7, 6, 5, 2, 4, 3)], [(1, 7, 6, 5, 3, 2, 4)], [(1, 7, 6, 5, 3), (2, 4)], [(1, 7, 6, 4), (2, 3), (5,)], [(1, 7, 6, 4, 2, 3), (5,)], [(1, 7, 6, 4, 2), (3,), (5,)], [(1, 7, 6, 4, 3), (2,), (5,)], [(1, 7, 6, 4, 3, 2), (5,)], [(1, 7, 6, 3), (2,), (4, 5)], [(1, 7, 6, 3, 2), (4, 5)], [(1, 7, 6, 4, 5, 3), (2,)], [(1, 7, 6, 4, 5, 3, 2)], [(1, 7, 6, 2), (3, 5), (4,)], [(1, 7, 6, 3, 5, 2), (4,)], [(1, 7, 6, 3, 5, 4, 2)], [(1, 7, 6, 4, 3, 5, 2)], [(1, 7, 6, 4, 2), (3, 5)], [(1, 7, 6, 4, 2, 5), (3,)], [(1, 7, 6, 4), (2, 5), (3,)], [(1, 7, 6, 4, 3), (2, 5)], [(1, 7, 6, 4), (2, 5, 3)], [(1, 7, 6, 4, 2, 5, 3)], [(1, 7, 6, 3, 2, 5, 4)], [(1, 7, 6, 3), (2, 5, 4)], [(1, 7, 6, 2, 5, 3), (4,)], [(1, 7, 6, 3), (2, 5), (4,)], [(1, 7, 6), (2, 5), (3, 4)], [(1, 7, 6, 2, 5), (3, 4)], [(1, 7, 6, 2, 5, 3, 4)], [(1, 7, 6, 3, 4, 2, 5)], [(1, 7, 6, 3, 4), (2, 5)], [(1, 7, 5, 4), (2, 3), (6,)], [(1, 7, 5, 4, 2, 3), (6,)], [(1, 7, 5, 4, 2), (3,), (6,)], [(1, 7, 5, 4, 3), (2,), (6,)], [(1, 7, 5, 4, 3, 2), (6,)], [(1, 7, 5, 3), (2,), (4,), (6,)], [(1, 7, 5, 3, 2), (4,), (6,)], [(1, 7, 5, 2), (3, 4), (6,)], [(1, 7, 5, 3, 4, 2), (6,)], [(1, 7, 5), (2, 4), (3,), (6,)], [(1, 7, 5, 2, 4), (3,), (6,)], [(1, 7, 5, 2, 4, 3), (6,)], [(1, 7, 5, 3, 2, 4), (6,)], [(1, 7, 5, 3), (2, 4), (6,)], [(1, 7, 4), (2, 3), (5, 6)], [(1, 7, 4, 2, 3), (5, 6)], [(1, 7, 4, 2), (3,), (5, 6)], [(1, 7, 4, 3), (2,), (5, 6)], [(1, 7, 4, 3, 2), (5, 6)], [(1, 7, 5, 6, 4), (2, 3)], [(1, 7, 5, 6, 4, 2, 3)], [(1, 7, 5, 6, 4, 2), (3,)], [(1, 7, 5, 6, 4, 3), (2,)], [(1, 7, 5, 6, 4, 3, 2)], [(1, 7, 3), (2,), (4, 6), (5,)], [(1, 7, 3, 2), (4, 6), (5,)], [(1, 7, 4, 6, 3), (2,), (5,)], [(1, 7, 4, 6, 3, 2), (5,)], [(1, 7, 4, 6, 5, 3), (2,)], [(1, 7, 4, 6, 5, 3, 2)], [(1, 7, 5, 4, 6, 3), (2,)], [(1, 7, 5, 4, 6, 3, 2)], [(1, 7, 5, 3), (2,), (4, 6)], [(1, 7, 5, 3, 2), (4, 6)], [(1, 7, 5, 3, 6, 2), (4,)], [(1, 7, 5, 2), (3, 6), (4,)], [(1, 7, 5, 4, 2), (3, 6)], [(1, 7, 5, 2), (3, 6, 4)], [(1, 7, 5, 3, 6, 4, 2)], [(1, 7, 4, 3, 6, 5, 2)], [(1, 7, 4, 2), (3, 6, 5)], [(1, 7, 3, 6, 4, 2), (5,)], [(1, 7, 4, 2), (3, 6), (5,)], [(1, 7, 2), (3, 6), (4, 5)], [(1, 7, 3, 6, 2), (4, 5)], [(1, 7, 3, 6, 4, 5, 2)], [(1, 7, 4, 5, 3, 6, 2)], [(1, 7, 4, 5, 2), (3, 6)], [(1, 7, 5), (2, 6, 4), (3,)], [(1, 7, 5, 2, 6, 4), (3,)], [(1, 7, 5, 2, 6, 4, 3)], [(1, 7, 5, 3, 2, 6, 4)], [(1, 7, 5, 3), (2, 6, 4)], [(1, 7, 5, 4), (2, 6, 3)], [(1, 7, 5, 4, 2, 6, 3)], [(1, 7, 5, 3), (2, 6), (4,)], [(1, 7, 5, 2, 6, 3), (4,)], [(1, 7, 5, 2, 6), (3, 4)], [(1, 7, 5), (2, 6), (3, 4)], [(1, 7, 5, 3, 4), (2, 6)], [(1, 7, 5), (2, 6, 3, 4)], [(1, 7, 5, 2, 6, 3, 4)], [(1, 7, 4, 2, 6, 5), (3,)], [(1, 7, 4), (2, 6, 5), (3,)], [(1, 7, 4, 3), (2, 6, 5)], [(1, 7, 4), (2, 6, 5, 3)], [(1, 7, 4, 2, 6, 5, 3)], [(1, 7, 3, 2, 6, 4), (5,)], [(1, 7, 3), (2, 6, 4), (5,)], [(1, 7, 4), (2, 6, 3), (5,)], [(1, 7, 4, 2, 6, 3), (5,)], [(1, 7, 2, 6, 3), (4, 5)], [(1, 7, 3), (2, 6), (4, 5)], [(1, 7, 3), (2, 6, 4, 5)], [(1, 7, 4, 5, 3), (2, 6)], [(1, 7, 4, 5, 2, 6, 3)], [(1, 7, 4, 3, 5, 2, 6)], [(1, 7, 4, 3, 5), (2, 6)], [(1, 7, 4), (2, 6), (3, 5)], [(1, 7, 4, 2, 6, 3, 5)], [(1, 7, 4), (2, 6, 3, 5)], [(1, 7, 3, 5), (2, 6, 4)], [(1, 7, 3, 5, 2, 6, 4)], [(1, 7, 2, 6, 3, 5, 4)], [(1, 7, 3, 5, 4), (2, 6)], [(1, 7), (2, 6), (3, 5), (4,)], [(1, 7, 2, 6), (3, 5), (4,)], [(1, 7, 2, 6, 3, 5), (4,)], [(1, 7, 3, 5, 2, 6), (4,)], [(1, 7, 3, 5), (2, 6), (4,)]]
[9, 8, 7, 7, 6, 8, 7, 9, 8, 12, 11, 10, 10, 9, 10, 9, 8, 8, 7, 10, 9, 9, 8, 12, 11, 10, 10, 9, 13, 12, 11, 11, 10, 12, 11, 13, 12, 16, 15, 14, 14, 13, 10, 9, 8, 8, 7, 9, 8, 10, 9, 13, 12, 11, 11, 10, 12, 11, 10, 10, 9, 11, 10, 9, 9, 8, 13, 12, 12, 11, 11, 10, 11, 10, 10, 9, 13, 12, 11, 11, 10, 12, 11, 13, 12, 16, 15, 14, 14, 13, 14, 13, 12, 12, 11, 13, 12, 14, 13, 17, 16, 15, 15, 14, 15, 14, 13, 13, 12, 15, 14, 14, 13, 17, 16, 15, 15, 14, 18, 17, 16, 16, 15, 17, 16, 18, 17, 21, 20, 19, 19, 18]
132
132
66
66
[[(1, 7, 6, 5, 4, 2, 3)], [(1, 7, 6, 5, 4, 3, 2)], [(1, 7, 6, 5, 3), (2,), (4,)], [(1, 7, 6, 5, 3, 4, 2)], [(1, 7, 6, 5), (2, 4), (3,)], [(1, 7, 6, 5, 2, 4, 3)], [(1, 7, 6, 5, 3, 2, 4)], [(1, 7, 6, 4), (2, 3), (5,)], [(1, 7, 6, 4, 2), (3,), (5,)], [(1, 7, 6, 4, 3), (2,), (5,)], [(1, 7, 6, 3), (2,), (4, 5)], [(1, 7, 6, 4, 5, 3, 2)], [(1, 7, 6, 2), (3, 5), (4,)], [(1, 7, 6, 3, 5, 4, 2)], [(1, 7, 6, 4, 3, 5, 2)], [(1, 7, 6, 4), (2, 5), (3,)], [(1, 7, 6, 4, 2, 5, 3)], [(1, 7, 6, 3, 2, 5, 4)], [(1, 7, 6, 3), (2, 5), (4,)], [(1, 7, 6), (2, 5), (3, 4)], [(1, 7, 6, 2, 5, 3, 4)], [(1, 7, 6, 3, 4, 2, 5)], [(1, 7, 5, 4), (2, 3), (6,)], [(1, 7, 5, 4, 2), (3,), (6,)], [(1, 7, 5, 4, 3), (2,), (6,)], [(1, 7, 5, 3, 2), (4,), (6,)], [(1, 7, 5, 2), (3, 4), (6,)], [(1, 7, 5, 2, 4), (3,), (6,)], [(1, 7, 5, 3), (2, 4), (6,)], [(1, 7, 4), (2, 3), (5, 6)], [(1, 7, 4, 2), (3,), (5, 6)], [(1, 7, 4, 3), (2,), (5, 6)], [(1, 7, 5, 6, 4, 2, 3)], [(1, 7, 5, 6, 4, 3, 2)], [(1, 7, 3, 2), (4, 6), (5,)], [(1, 7, 4, 6, 3), (2,), (5,)], [(1, 7, 4, 6, 5, 3, 2)], [(1, 7, 5, 4, 6, 3, 2)], [(1, 7, 5, 3), (2,), (4, 6)], [(1, 7, 5, 2), (3, 6), (4,)], [(1, 7, 5, 3, 6, 4, 2)], [(1, 7, 4, 3, 6, 5, 2)], [(1, 7, 4, 2), (3, 6), (5,)], [(1, 7, 2), (3, 6), (4, 5)], [(1, 7, 3, 6, 4, 5, 2)], [(1, 7, 4, 5, 3, 6, 2)], [(1, 7, 5), (2, 6, 4), (3,)], [(1, 7, 5, 2, 6, 4, 3)], [(1, 7, 5, 3, 2, 6, 4)], [(1, 7, 5, 4, 2, 6, 3)], [(1, 7, 5, 3), (2, 6), (4,)], [(1, 7, 5), (2, 6), (3, 4)], [(1, 7, 5, 2, 6, 3, 4)], [(1, 7, 4), (2, 6, 5), (3,)], [(1, 7, 4, 2, 6, 5, 3)], [(1, 7, 3), (2, 6, 4), (5,)], [(1, 7, 4), (2, 6, 3), (5,)], [(1, 7, 3), (2, 6), (4, 5)], [(1, 7, 4, 5, 2, 6, 3)], [(1, 7, 4, 3, 5, 2, 6)], [(1, 7, 4), (2, 6), (3, 5)], [(1, 7, 4, 2, 6, 3, 5)], [(1, 7, 3, 5, 2, 6, 4)], [(1, 7, 2, 6, 3, 5, 4)], [(1, 7, 2, 6), (3, 5), (4,)], [(1, 7, 3, 5), (2, 6), (4,)]]