Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00059: Permutations —Robinson-Schensted insertion tableau⟶ Standard tableaux
Mp00085: Standard tableaux —Schützenberger involution⟶ Standard tableaux
Mp00059: Permutations —Robinson-Schensted insertion tableau⟶ Standard tableaux
Mp00085: Standard tableaux —Schützenberger involution⟶ Standard tableaux
Images
=>
Cc0010;cc-rep-0Cc0007;cc-rep-2Cc0007;cc-rep-3
[.,.]=>[1]=>[[1]]=>[[1]]
[.,[.,.]]=>[2,1]=>[[1],[2]]=>[[1],[2]]
[[.,.],.]=>[1,2]=>[[1,2]]=>[[1,2]]
[.,[.,[.,.]]]=>[3,2,1]=>[[1],[2],[3]]=>[[1],[2],[3]]
[.,[[.,.],.]]=>[2,3,1]=>[[1,3],[2]]=>[[1,2],[3]]
[[.,.],[.,.]]=>[1,3,2]=>[[1,2],[3]]=>[[1,3],[2]]
[[.,[.,.]],.]=>[2,1,3]=>[[1,3],[2]]=>[[1,2],[3]]
[[[.,.],.],.]=>[1,2,3]=>[[1,2,3]]=>[[1,2,3]]
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[[1],[2],[3],[4]]=>[[1],[2],[3],[4]]
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[[1,4],[2],[3]]=>[[1,2],[3],[4]]
[.,[[.,.],[.,.]]]=>[2,4,3,1]=>[[1,3],[2],[4]]=>[[1,3],[2],[4]]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[[1,4],[2],[3]]=>[[1,2],[3],[4]]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[[1,3,4],[2]]=>[[1,2,3],[4]]
[[.,.],[.,[.,.]]]=>[1,4,3,2]=>[[1,2],[3],[4]]=>[[1,4],[2],[3]]
[[.,.],[[.,.],.]]=>[1,3,4,2]=>[[1,2,4],[3]]=>[[1,2,4],[3]]
[[.,[.,.]],[.,.]]=>[2,1,4,3]=>[[1,3],[2,4]]=>[[1,3],[2,4]]
[[[.,.],.],[.,.]]=>[1,2,4,3]=>[[1,2,3],[4]]=>[[1,3,4],[2]]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[[1,4],[2],[3]]=>[[1,2],[3],[4]]
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[[1,3,4],[2]]=>[[1,2,3],[4]]
[[[.,.],[.,.]],.]=>[1,3,2,4]=>[[1,2,4],[3]]=>[[1,2,4],[3]]
[[[.,[.,.]],.],.]=>[2,1,3,4]=>[[1,3,4],[2]]=>[[1,2,3],[4]]
[[[[.,.],.],.],.]=>[1,2,3,4]=>[[1,2,3,4]]=>[[1,2,3,4]]
[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>[[1],[2],[3],[4],[5]]
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2],[3],[4],[5]]
[.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,3],[2],[4],[5]]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2],[3],[4],[5]]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,4],[2],[3],[5]]
[.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[[1,4],[2,5],[3]]=>[[1,3],[2,4],[5]]
[.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[[1,3,4],[2],[5]]=>[[1,3,4],[2],[5]]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[[1,5],[2],[3],[4]]=>[[1,2],[3],[4],[5]]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[[1,3,4,5],[2]]=>[[1,2,3,4],[5]]
[[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,5],[2],[3],[4]]
[[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[[1,2,5],[3],[4]]=>[[1,2,5],[3],[4]]
[[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,2,5],[3],[4]]
[[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[[1,2,4,5],[3]]=>[[1,2,3,5],[4]]
[[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[[1,3],[2,4],[5]]=>[[1,4],[2,5],[3]]
[[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[[1,3,5],[2,4]]=>[[1,2,4],[3,5]]
[[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[[1,2,3,5],[4]]=>[[1,2,4,5],[3]]
[[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>[[1,3],[2,4],[5]]
[[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[[1,3,4],[2,5]]=>[[1,3,4],[2,5]]
[[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3,5],[2,4]]
[[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[[1,3,4],[2,5]]=>[[1,3,4],[2,5]]
[[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[[1,2,3,4],[5]]=>[[1,3,4,5],[2]]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>[[1,2],[3],[4],[5]]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[[1,3,4,5],[2]]=>[[1,2,3,4],[5]]
[[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,2,5],[3],[4]]
[[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[[1,2,4,5],[3]]=>[[1,2,3,5],[4]]
[[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[[1,3,5],[2,4]]=>[[1,2,4],[3,5]]
[[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[[1,2,3,5],[4]]=>[[1,2,4,5],[3]]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[[1,3,4,5],[2]]=>[[1,2,3,4],[5]]
[[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[[1,2,4,5],[3]]=>[[1,2,3,5],[4]]
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[[1,3,4,5],[2]]=>[[1,2,3,4],[5]]
[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[[1,2,3,4,5]]=>[[1,2,3,4,5]]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>[[1],[2],[3],[4],[5],[6]]
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5],[6]]
[.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,3],[2],[4],[5],[6]]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5],[6]]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3],[4],[5],[6]]
[.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,4],[2],[3],[5],[6]]
[.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,4],[3],[5],[6]]
[.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,3],[2,4],[5],[6]]
[.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,3,4],[2],[5],[6]]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5],[6]]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3],[4],[5],[6]]
[.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,4],[3],[5],[6]]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3],[4],[5],[6]]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3,4],[5],[6]]
[.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,5],[2],[3],[4],[6]]
[.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,5],[3],[4],[6]]
[.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,3,5],[2],[4],[6]]
[.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,5],[3],[4],[6]]
[.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,3,5],[4],[6]]
[.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,4],[2,5],[3],[6]]
[.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,4],[3,5],[6]]
[.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,4,5],[2],[3],[6]]
[.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,4,5],[3],[6]]
[.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,3],[2,4],[5],[6]]
[.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,3,4],[2,5],[6]]
[.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,3,5],[2,4],[6]]
[.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,3,4],[2,5],[6]]
[.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,3,4,5],[2],[6]]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5],[6]]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3],[4],[5],[6]]
[.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,4],[3],[5],[6]]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3],[4],[5],[6]]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3,4],[5],[6]]
[.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,5],[3],[4],[6]]
[.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,3,5],[4],[6]]
[.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,4],[3,5],[6]]
[.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,4,5],[3],[6]]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3],[4],[5],[6]]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3,4],[5],[6]]
[.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,3,5],[4],[6]]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3,4],[5],[6]]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[[1,3,4,5,6],[2]]=>[[1,2,3,4,5],[6]]
[[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,6],[2],[3],[4],[5]]
[[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,2,6],[3],[4],[5]]
[[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,6],[2],[4],[5]]
[[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,2,6],[3],[4],[5]]
[[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[[1,2,5,6],[3],[4]]=>[[1,2,3,6],[4],[5]]
[[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,4,6],[2],[3],[5]]
[[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[[1,2,4,6],[3],[5]]=>[[1,2,4,6],[3],[5]]
[[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,6],[2,4],[5]]
[[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,4,6],[2],[5]]
[[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,2,6],[3],[4],[5]]
[[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,2,3,6],[4],[5]]
[[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,2,4,6],[3],[5]]
[[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,2,3,6],[4],[5]]
[[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[[1,2,4,5,6],[3]]=>[[1,2,3,4,6],[5]]
[[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,5],[2,6],[3],[4]]
[[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,6],[4]]
[[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,3,5],[2,6],[4]]
[[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,6],[4]]
[[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2,3,5],[4,6]]
[[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[[1,2,3,6],[4],[5]]=>[[1,2,5,6],[3],[4]]
[[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,3,5,6],[2],[4]]
[[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,2,5,6],[3],[4]]
[[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[[1,2,3,5,6],[4]]=>[[1,2,3,5,6],[4]]
[[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,4],[2,5],[3,6]]
[[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,4],[3,5],[6]]
[[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,4,5],[2,6],[3]]
[[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2,4,5],[3,6]]
[[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,4,6],[2,5],[3]]
[[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,2,4,6],[3,5]]
[[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,4,5],[2,6],[3]]
[[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2,4,5],[3,6]]
[[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[[1,2,3,4,6],[5]]=>[[1,2,4,5,6],[3]]
[[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>[[1,3],[2,4],[5],[6]]
[[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,3,4],[2,5],[6]]
[[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,3,5],[2,4],[6]]
[[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,3,4],[2,5],[6]]
[[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[[1,3,4,5],[2,6]]=>[[1,3,4,5],[2,6]]
[[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,6],[2,4],[5]]
[[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3,4,6],[2,5]]
[[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,3,5],[2,4,6]]
[[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,3,5,6],[2,4]]
[[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,3,4],[2,5],[6]]
[[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,3,4,5],[2,6]]
[[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3,4,6],[2,5]]
[[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,3,4,5],[2,6]]
[[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>[[1,3,4,5,6],[2]]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5],[6]]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3],[4],[5],[6]]
[[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,4],[3],[5],[6]]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3],[4],[5],[6]]
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3,4],[5],[6]]
[[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,5],[3],[4],[6]]
[[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,3,5],[4],[6]]
[[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,4],[3,5],[6]]
[[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,4,5],[3],[6]]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3],[4],[5],[6]]
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3,4],[5],[6]]
[[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,3,5],[4],[6]]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3,4],[5],[6]]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[[1,3,4,5,6],[2]]=>[[1,2,3,4,5],[6]]
[[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,2,6],[3],[4],[5]]
[[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,2,3,6],[4],[5]]
[[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,2,4,6],[3],[5]]
[[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,2,3,6],[4],[5]]
[[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[[1,2,4,5,6],[3]]=>[[1,2,3,4,6],[5]]
[[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,6],[4]]
[[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2,3,5],[4,6]]
[[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,2,5,6],[3],[4]]
[[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[[1,2,3,5,6],[4]]=>[[1,2,3,5,6],[4]]
[[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,4],[3,5],[6]]
[[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2,4,5],[3,6]]
[[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,2,4,6],[3,5]]
[[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2,4,5],[3,6]]
[[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>[[1,2,4,5,6],[3]]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3],[4],[5],[6]]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3,4],[5],[6]]
[[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,3,5],[4],[6]]
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3,4],[5],[6]]
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2,3,4,5],[6]]
[[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,2,3,6],[4],[5]]
[[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[[1,2,4,5,6],[3]]=>[[1,2,3,4,6],[5]]
[[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2,3,5],[4,6]]
[[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,2,3,5,6],[4]]
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3,4],[5],[6]]
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2,3,4,5],[6]]
[[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,2,3,4,6],[5]]
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2,3,4,5],[6]]
[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>[[1,2,3,4,5,6]]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>[[1],[2],[3],[4],[5],[6],[7]]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6],[7]]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,3],[2],[4],[5],[6],[7]]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6],[7]]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,4],[2],[3],[5],[6],[7]]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,4],[3],[5],[6],[7]]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,3],[2,4],[5],[6],[7]]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,3,4],[2],[5],[6],[7]]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6],[7]]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,4],[3],[5],[6],[7]]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,5],[2],[3],[4],[6],[7]]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6],[7]]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,3,5],[2],[4],[6],[7]]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6],[7]]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,4],[2,5],[3],[6],[7]]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,4],[3,5],[6],[7]]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,4,5],[2],[3],[6],[7]]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,4,5],[3],[6],[7]]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,3],[2,4],[5],[6],[7]]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,3,4],[2,5],[6],[7]]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>[[1,3,5],[2,4],[6],[7]]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,3,4],[2,5],[6],[7]]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[[1,4,5,6],[2],[3],[7]]=>[[1,3,4,5],[2],[6],[7]]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6],[7]]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,4],[3],[5],[6],[7]]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6],[7]]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,4],[3,5],[6],[7]]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,4,5],[3],[6],[7]]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3,4,5],[6],[7]]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,6],[2],[3],[4],[5],[7]]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>[[1,3,6],[2],[4],[5],[7]]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,3,6],[4],[5],[7]]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,4,6],[2],[3],[5],[7]]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,3,6],[2,4],[5],[7]]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[[1,3,5,6],[2],[4],[7]]=>[[1,3,4,6],[2],[5],[7]]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,3,6],[4],[5],[7]]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,3,6],[4],[5],[7]]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,3,4,6],[5],[7]]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,5],[2,6],[3],[4],[7]]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,5],[3,6],[4],[7]]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[[1,3,5],[2,6],[4],[7]]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,5],[3,6],[4],[7]]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3,5],[4,6],[7]]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,5,6],[2],[3],[4],[7]]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[[1,3,4,6],[2],[5],[7]]=>[[1,3,5,6],[2],[4],[7]]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,3,5,6],[4],[7]]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[[1,4],[2,5],[3,6],[7]]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,4],[3,5],[6],[7]]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,4,5],[2,6],[3],[7]]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,4,5],[3,6],[7]]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,4,6],[2,5],[3],[7]]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4,6],[3,5],[7]]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,4,5],[2,6],[3],[7]]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,4,5],[3,6],[7]]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[[1,4,5,6],[2],[3],[7]]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,4,5,6],[3],[7]]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,3],[2,4],[5],[6],[7]]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,3,4],[2,5],[6],[7]]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[[1,3,5],[2,4],[6],[7]]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,3,4],[2,5],[6],[7]]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[[1,4,5,6],[2,7],[3]]=>[[1,3,4,5],[2,6],[7]]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,3,6],[2,4],[5],[7]]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[[1,3,5,6],[2,7],[4]]=>[[1,3,4,6],[2,5],[7]]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3]]=>[[1,3,5],[2,4,6],[7]]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]=>[[1,3,5,6],[2,4],[7]]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,3,4],[2,5],[6],[7]]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[[1,4,5,6],[2,7],[3]]=>[[1,3,4,5],[2,6],[7]]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4]]=>[[1,3,4,6],[2,5],[7]]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[[1,4,5,6],[2,7],[3]]=>[[1,3,4,5],[2,6],[7]]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7]]=>[[1,3,4,5,6],[2],[7]]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6],[7]]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,4],[3],[5],[6],[7]]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6],[7]]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,4],[3,5],[6],[7]]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,4,5],[3],[6],[7]]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3,4,5],[6],[7]]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,3,6],[4],[5],[7]]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,3,6],[4],[5],[7]]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,3,4,6],[5],[7]]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,5],[3,6],[4],[7]]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3,5],[4,6],[7]]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,3,5,6],[4],[7]]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,4],[3,5],[6],[7]]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,4,5],[3,6],[7]]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4,6],[3,5],[7]]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,4,5],[3,6],[7]]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,4,5,6],[3],[7]]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3,4,5],[6],[7]]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,3,6],[4],[5],[7]]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,3,4,6],[5],[7]]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3,5],[4,6],[7]]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,3,5,6],[4],[7]]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3,4,5],[6],[7]]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,3,4,6],[5],[7]]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3,4,5],[6],[7]]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2]]=>[[1,2,3,4,5,6],[7]]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,2,7],[3],[4],[5],[6]]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,2,7],[3],[4],[5],[6]]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[[1,2,5,7],[3],[4],[6]]=>[[1,2,4,7],[3],[5],[6]]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,7],[2,4],[5],[6]]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,2,7],[3],[4],[5],[6]]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[[1,2,5,7],[3],[4],[6]]=>[[1,2,4,7],[3],[5],[6]]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[[1,2,5,6,7],[3],[4]]=>[[1,2,3,4,7],[5],[6]]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[[1,2,4,7],[3],[5],[6]]=>[[1,2,5,7],[3],[4],[6]]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[[1,2,4,7],[3],[5],[6]]=>[[1,2,5,7],[3],[4],[6]]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[[1,2,4,6,7],[3],[5]]=>[[1,2,3,5,7],[4],[6]]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[[1,4,7],[2,5],[3],[6]]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4]]=>[[1,2,4,7],[3,5],[6]]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,4,5,7],[2],[3],[6]]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[[1,2,4,5,7],[3],[6]]=>[[1,2,4,5,7],[3],[6]]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,7],[2,4],[5],[6]]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4,7],[2,5],[6]]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5,7],[2,4],[6]]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4,7],[2,5],[6]]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,4,5,7],[2],[6]]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,2,7],[3],[4],[5],[6]]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[[1,2,5,7],[3],[4],[6]]=>[[1,2,4,7],[3],[5],[6]]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[[1,2,5,6,7],[3],[4]]=>[[1,2,3,4,7],[5],[6]]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>[[1,2,5,7],[3],[4],[6]]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[[1,2,4,6,7],[3],[5]]=>[[1,2,3,5,7],[4],[6]]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>[[1,2,4,7],[3,5],[6]]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>[[1,2,4,5,7],[3],[6]]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>[[1,2,3,4,7],[5],[6]]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5]]=>[[1,2,3,5,7],[4],[6]]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>[[1,2,3,4,7],[5],[6]]
[[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3]]=>[[1,2,3,4,5,7],[6]]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,6],[2,7],[3],[4],[5]]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,6],[3,7],[4],[5]]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,3,6],[2,7],[4],[5]]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,6],[3,7],[4],[5]]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,3,6],[4,7],[5]]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,4,6],[2,7],[3],[5]]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,4,6],[3,7],[5]]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5]]=>[[1,3,6],[2,4,7],[5]]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,3,4,6],[2,7],[5]]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,6],[3,7],[4],[5]]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,3,6],[4,7],[5]]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,4,6],[3,7],[5]]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,3,6],[4,7],[5]]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2,3,4,6],[5,7]]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,2,6,7],[3],[4],[5]]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[[1,2,3,6],[4],[5],[7]]=>[[1,3,6,7],[2],[4],[5]]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,2,6,7],[3],[4],[5]]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5]]=>[[1,2,3,6,7],[4],[5]]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[[1,2,3,5,7],[4],[6]]=>[[1,2,4,6,7],[3],[5]]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[[1,2,3,6],[4,7],[5]]=>[[1,3,6,7],[2,4],[5]]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[[1,2,3,5,6],[4],[7]]=>[[1,3,4,6,7],[2],[5]]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,2,6,7],[3],[4],[5]]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[[1,2,3,6,7],[4],[5]]=>[[1,2,3,6,7],[4],[5]]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>[[1,2,4,6,7],[3],[5]]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5]]=>[[1,2,3,6,7],[4],[5]]
[[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[[1,2,3,5,6,7],[4]]=>[[1,2,3,4,6,7],[5]]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,5],[2,6],[3,7],[4]]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,5],[3,6],[4,7]]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,3,5],[2,6],[4,7]]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,5],[3,6],[4,7]]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3,5],[4,6],[7]]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,5,6],[2,7],[3],[4]]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,5,6],[3,7],[4]]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,3,5,6],[2,7],[4]]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,5,6],[3,7],[4]]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[[1,3,4,6,7],[2,5]]=>[[1,2,3,5,6],[4,7]]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[[1,2,4,7],[3,5],[6]]=>[[1,2,5,7],[3,6],[4]]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,5,7],[2,6],[4]]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[[1,2,5,7],[3,6],[4]]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[[1,2,4,6,7],[3,5]]=>[[1,2,3,5,7],[4,6]]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,5,6],[2,7],[3],[4]]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,5,6],[3,7],[4]]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,3,5,6],[2,7],[4]]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,5,6],[3,7],[4]]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[[1,3,4,6,7],[2,5]]=>[[1,2,3,5,6],[4,7]]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,2,5,6,7],[3],[4]]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,3,5,6,7],[2],[4]]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,2,5,6,7],[3],[4]]
[[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5]]=>[[1,2,3,5,6,7],[4]]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,4],[2,5],[3,6],[7]]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,4],[3,5],[6],[7]]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,4,5],[2,6],[3,7]]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,4,5],[3,6],[7]]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,4,6],[2,5],[3,7]]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4,6],[3,5],[7]]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,4,5],[2,6],[3,7]]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,4,5],[3,6],[7]]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,4,5,6],[2,7],[3]]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2,4,5,6],[3,7]]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,4,7],[2,5],[3,6]]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>[[1,2,4,7],[3,5],[6]]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,4,5,7],[2,6],[3]]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[[1,2,4,5,7],[3,6]]=>[[1,2,4,5,7],[3,6]]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,4,6],[2,5,7],[3]]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2,4,6],[3,5,7]]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,6,7],[2,5],[3]]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>[[1,2,4,6,7],[3,5]]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,4,5],[2,6],[3,7]]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,4,5],[3,6],[7]]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,4,5,6],[2,7],[3]]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2,4,5,6],[3,7]]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,4,5,7],[2,6],[3]]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[[1,2,4,5,7],[3,6]]=>[[1,2,4,5,7],[3,6]]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,4,5,6],[2,7],[3]]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2,4,5,6],[3,7]]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[[1,2,3,4,5,7],[6]]=>[[1,2,4,5,6,7],[3]]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,3],[2,4],[5],[6],[7]]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,3,4],[2,5],[6],[7]]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,3,5],[2,4],[6],[7]]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,3,4],[2,5],[6],[7]]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,3,4,5],[2,6],[7]]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,3,6],[2,4],[5],[7]]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,3,4,6],[2,5],[7]]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,3,5],[2,4,6],[7]]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,3,5,6],[2,4],[7]]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,3,4],[2,5],[6],[7]]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,3,4,5],[2,6],[7]]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,3,4,6],[2,5],[7]]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,3,4,5],[2,6],[7]]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,3,4,5,6],[2,7]]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,7],[2,4],[5],[6]]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4,7],[2,5],[6]]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5,7],[2,4],[6]]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4,7],[2,5],[6]]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3,4,5,7],[2,6]]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,3,6],[2,4,7],[5]]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[[1,3,4,6],[2,5,7]]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,3,6,7],[2,4],[5]]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[[1,2,3,5,6],[4,7]]=>[[1,3,4,6,7],[2,5]]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,3,5],[2,4,6],[7]]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[[1,3,5,6],[2,4,7]]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3,5,7],[2,4,6]]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[[1,3,5,6],[2,4,7]]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7]]=>[[1,3,5,6,7],[2,4]]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,3,4],[2,5],[6],[7]]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,3,4,5],[2,6],[7]]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,3,4,6],[2,5],[7]]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,3,4,5],[2,6],[7]]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,3,4,5,6],[2,7]]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4,7],[2,5],[6]]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3,4,5,7],[2,6]]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7]]=>[[1,3,4,6],[2,5,7]]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[[1,3,4,6,7],[2,5]]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,3,4,5],[2,6],[7]]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,3,4,5,6],[2,7]]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3,4,5,7],[2,6]]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,3,4,5,6],[2,7]]
[[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]=>[[1,3,4,5,6,7],[2]]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6],[7]]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,4],[3],[5],[6],[7]]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6],[7]]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,4],[3,5],[6],[7]]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,4,5],[3],[6],[7]]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3,4,5],[6],[7]]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,3,6],[4],[5],[7]]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,3,6],[4],[5],[7]]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,3,4,6],[5],[7]]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,5],[3,6],[4],[7]]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3,5],[4,6],[7]]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,3,5,6],[4],[7]]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,4],[3,5],[6],[7]]
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[[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4,6],[3,5],[7]]
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[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
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[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
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[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,2,7],[3],[4],[5],[6]]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[[1,2,4,7],[3],[5],[6]]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[[1,2,5,6,7],[3],[4]]=>[[1,2,3,4,7],[5],[6]]
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[[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,2,4,7],[3,5],[6]]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>[[1,2,4,5,7],[3],[6]]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[[1,2,5,6,7],[3],[4]]=>[[1,2,3,4,7],[5],[6]]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[[1,2,4,6,7],[3],[5]]=>[[1,2,3,5,7],[4],[6]]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[[1,2,5,6,7],[3],[4]]=>[[1,2,3,4,7],[5],[6]]
[[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[[1,2,4,5,6,7],[3]]=>[[1,2,3,4,5,7],[6]]
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[[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,3,6],[4,7],[5]]
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[[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[[1,2,6,7],[3],[4],[5]]
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[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,5],[3,6],[4,7]]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3,5],[4,6],[7]]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,5,6],[3,7],[4]]
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[[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,2,5,7],[3,6],[4]]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[[1,2,4,6,7],[3,5]]=>[[1,2,3,5,7],[4,6]]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,5,6],[3,7],[4]]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[[1,3,4,6,7],[2,5]]=>[[1,2,3,5,6],[4,7]]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,2,5,6,7],[3],[4]]
[[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[[1,2,3,4,6,7],[5]]=>[[1,2,3,5,6,7],[4]]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,4],[3,5],[6],[7]]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,4,5],[3,6],[7]]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4,6],[3,5],[7]]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,4,5],[3,6],[7]]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2,4,5,6],[3,7]]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,2,4,7],[3,5],[6]]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[[1,2,4,5,7],[3,6]]=>[[1,2,4,5,7],[3,6]]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2,4,6],[3,5,7]]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,2,4,6,7],[3,5]]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,4,5],[3,6],[7]]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2,4,5,6],[3,7]]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>[[1,2,4,5,7],[3,6]]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2,4,5,6],[3,7]]
[[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,2,4,5,6,7],[3]]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
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[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3,4,5],[6],[7]]
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[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[5,7,6,8,4,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[[1,2,4],[3],[5],[6],[7],[8]]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4],[5],[6],[7],[8]]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[4,8,7,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[[1,5],[2],[3],[4],[6],[7],[8]]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[4,7,8,6,5,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[[1,2,5],[3],[4],[6],[7],[8]]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[4,6,8,7,5,3,2,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[[1,3,5],[2],[4],[6],[7],[8]]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[4,7,6,8,5,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[[1,2,5],[3],[4],[6],[7],[8]]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[5,4,7,8,6,3,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,4],[3,5],[6],[7],[8]]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[4,5,8,7,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[[1,4,5],[2],[3],[6],[7],[8]]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[5,6,4,8,7,3,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[[1,3,4],[2,5],[6],[7],[8]]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[4,6,5,8,7,3,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[[1,3,5],[2,4],[6],[7],[8]]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[4,5,6,8,7,3,2,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[[1,3,4,5],[2],[6],[7],[8]]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[5,7,6,4,8,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[[1,2,4],[3],[5],[6],[7],[8]]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4],[5],[6],[7],[8]]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[4,7,6,5,8,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[[1,2,5],[3],[4],[6],[7],[8]]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[4,6,7,5,8,3,2,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[[1,2,3,5],[4],[6],[7],[8]]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[5,4,7,6,8,3,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,4],[3,5],[6],[7],[8]]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[4,5,7,6,8,3,2,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>[[1,2,4,5],[3],[6],[7],[8]]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4],[5],[6],[7],[8]]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[4,6,5,7,8,3,2,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[[1,2,3,5],[4],[6],[7],[8]]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4],[5],[6],[7],[8]]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[[1,2,3,4,5],[6],[7],[8]]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[3,8,7,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[[1,6],[2],[3],[4],[5],[7],[8]]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[3,7,8,6,5,4,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[[1,2,6],[3],[4],[5],[7],[8]]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[3,6,8,7,5,4,2,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[[1,3,6],[2],[4],[5],[7],[8]]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[3,7,6,8,5,4,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[[1,2,6],[3],[4],[5],[7],[8]]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[3,5,8,7,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[[1,4,6],[2],[3],[5],[7],[8]]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[3,5,7,8,6,4,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[[1,2,4,6],[3],[5],[7],[8]]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[3,5,6,8,7,4,2,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[[1,3,4,6],[2],[5],[7],[8]]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[3,7,6,5,8,4,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[[1,2,6],[3],[4],[5],[7],[8]]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[3,5,7,6,8,4,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[[1,2,4,6],[3],[5],[7],[8]]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[[1,2,3,4,6],[5],[7],[8]]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[4,3,8,7,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[[1,5],[2,6],[3],[4],[7],[8]]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[4,3,7,8,6,5,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[[1,2,5],[3,6],[4],[7],[8]]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[4,3,6,7,8,5,2,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[[1,2,3,5],[4,6],[7],[8]]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[3,4,6,7,8,5,2,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[[1,2,3,5,6],[4],[7],[8]]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[5,4,3,8,7,6,2,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>[[1,4],[2,5],[3,6],[7],[8]]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[5,4,3,7,8,6,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,4],[3,5],[6],[7],[8]]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[3,5,4,7,8,6,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[[1,2,4,6],[3,5],[7],[8]]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[3,4,5,7,8,6,2,1]=>[[1,4,5,6,8],[2],[3],[7]]=>[[1,2,4,5,6],[3],[7],[8]]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[6,5,4,3,8,7,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[[1,3],[2,4],[5],[6],[7],[8]]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[5,6,4,3,8,7,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[[1,3,4],[2,5],[6],[7],[8]]
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>[4,5,6,3,8,7,2,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[[1,3,4,5],[2,6],[7],[8]]
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>[3,6,5,4,8,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[[1,3,6],[2,4],[5],[7],[8]]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[4,3,6,5,8,7,2,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[[1,3,5],[2,4,6],[7],[8]]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[5,4,3,6,8,7,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[[1,3,4],[2,5],[6],[7],[8]]
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>[4,5,3,6,8,7,2,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[[1,3,4,5],[2,6],[7],[8]]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>[3,4,5,6,8,7,2,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[[1,3,4,5,6],[2],[7],[8]]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[6,7,5,4,3,8,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[5,7,6,4,3,8,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[[1,2,4],[3],[5],[6],[7],[8]]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>[6,5,7,4,3,8,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]=>[5,6,7,4,3,8,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4],[5],[6],[7],[8]]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[5,4,7,6,3,8,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,4],[3,5],[6],[7],[8]]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[6,5,4,7,3,8,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4],[5],[6],[7],[8]]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[[1,2,3,4,5],[6],[7],[8]]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>[3,7,6,5,4,8,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[[1,2,6],[3],[4],[5],[7],[8]]
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>[3,5,7,6,4,8,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[[1,2,4,6],[3],[5],[7],[8]]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>[3,5,6,7,4,8,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[[1,2,3,4,6],[5],[7],[8]]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>[4,3,7,6,5,8,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[[1,2,5],[3,6],[4],[7],[8]]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[3,4,7,6,5,8,2,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>[[1,2,5,6],[3],[4],[7],[8]]
[.,[.,[[[[.,.],.],[[.,.],.]],.]]]=>[3,4,6,7,5,8,2,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[[1,2,3,5,6],[4],[7],[8]]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[3,5,4,7,6,8,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[[1,2,4,6],[3,5],[7],[8]]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>[3,4,5,7,6,8,2,1]=>[[1,4,5,6,8],[2],[3],[7]]=>[[1,2,4,5,6],[3],[7],[8]]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>[3,6,5,4,7,8,2,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>[[1,2,3,6],[4],[5],[7],[8]]
[.,[.,[[[[.,.],[[.,.],.]],.],.]]]=>[3,5,6,4,7,8,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[[1,2,3,4,6],[5],[7],[8]]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>[4,3,6,5,7,8,2,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[[1,2,3,5],[4,6],[7],[8]]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[3,4,6,5,7,8,2,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[[1,2,3,5,6],[4],[7],[8]]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>[5,4,3,6,7,8,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4],[5],[6],[7],[8]]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>[3,5,4,6,7,8,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[[1,2,3,4,6],[5],[7],[8]]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[[1,2,3,4,5],[6],[7],[8]]
[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>[3,4,5,6,7,8,2,1]=>[[1,4,5,6,7,8],[2],[3]]=>[[1,2,3,4,5,6],[7],[8]]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,8,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[[1,7],[2],[3],[4],[5],[6],[8]]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[2,7,8,6,5,4,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[[1,2,7],[3],[4],[5],[6],[8]]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[2,6,8,7,5,4,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[[1,3,7],[2],[4],[5],[6],[8]]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[2,7,6,8,5,4,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[[1,2,7],[3],[4],[5],[6],[8]]
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>[2,6,7,8,5,4,3,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>[[1,2,3,7],[4],[5],[6],[8]]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[2,5,8,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[[1,4,7],[2],[3],[5],[6],[8]]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[2,6,7,5,8,4,3,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>[[1,2,3,7],[4],[5],[6],[8]]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[2,5,6,7,8,4,3,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[[1,2,3,4,7],[5],[6],[8]]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[2,4,8,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[[1,5,7],[2],[3],[4],[6],[8]]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[2,4,7,8,6,5,3,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>[[1,2,5,7],[3],[4],[6],[8]]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[2,4,6,8,7,5,3,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[[1,3,5,7],[2],[4],[6],[8]]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[2,4,6,7,8,5,3,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[[1,2,3,5,7],[4],[6],[8]]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[2,5,4,8,7,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[[1,4,7],[2,5],[3],[6],[8]]
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[2,5,4,7,8,6,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[[1,2,4,7],[3,5],[6],[8]]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[2,4,5,7,8,6,3,1]=>[[1,3,5,6,8],[2],[4],[7]]=>[[1,2,4,5,7],[3],[6],[8]]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[2,6,5,4,8,7,3,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[[1,3,7],[2,4],[5],[6],[8]]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[2,5,6,4,8,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[[1,3,4,7],[2,5],[6],[8]]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[2,4,6,5,8,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[[1,3,5,7],[2,4],[6],[8]]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[2,4,5,6,8,7,3,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[[1,3,4,5,7],[2],[6],[8]]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[2,7,6,5,4,8,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[[1,2,7],[3],[4],[5],[6],[8]]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>[2,5,6,7,4,8,3,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[[1,2,3,4,7],[5],[6],[8]]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[2,4,6,7,5,8,3,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[[1,2,3,5,7],[4],[6],[8]]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[2,5,4,7,6,8,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[[1,2,4,7],[3,5],[6],[8]]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[2,6,5,4,7,8,3,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>[[1,2,3,7],[4],[5],[6],[8]]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[2,5,6,4,7,8,3,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[[1,2,3,4,7],[5],[6],[8]]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>[2,4,6,5,7,8,3,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[[1,2,3,5,7],[4],[6],[8]]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[2,5,4,6,7,8,3,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[[1,2,3,4,7],[5],[6],[8]]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[2,4,5,6,7,8,3,1]=>[[1,3,5,6,7,8],[2],[4]]=>[[1,2,3,4,5,7],[6],[8]]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[3,2,8,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[[1,6],[2,7],[3],[4],[5],[8]]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[3,2,7,8,6,5,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[[1,2,6],[3,7],[4],[5],[8]]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[3,2,6,8,7,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[[1,3,6],[2,7],[4],[5],[8]]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[3,2,5,7,8,6,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[[1,2,4,6],[3,7],[5],[8]]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[3,2,5,7,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[[1,2,4,6],[3,7],[5],[8]]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[3,2,5,6,7,8,4,1]=>[[1,4,6,7,8],[2,5],[3]]=>[[1,2,3,4,6],[5,7],[8]]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[2,3,8,7,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[[1,6,7],[2],[3],[4],[5],[8]]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[2,3,6,7,8,5,4,1]=>[[1,3,4,7,8],[2],[5],[6]]=>[[1,2,3,6,7],[4],[5],[8]]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[2,3,5,7,8,6,4,1]=>[[1,3,4,6,8],[2],[5],[7]]=>[[1,2,4,6,7],[3],[5],[8]]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[2,3,6,5,8,7,4,1]=>[[1,3,4,7],[2,8],[5],[6]]=>[[1,3,6,7],[2,4],[5],[8]]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[2,3,5,6,8,7,4,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[[1,3,4,6,7],[2],[5],[8]]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[2,3,7,6,5,8,4,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>[[1,2,6,7],[3],[4],[5],[8]]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>[2,3,5,7,6,8,4,1]=>[[1,3,4,6,8],[2],[5],[7]]=>[[1,2,4,6,7],[3],[5],[8]]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[2,3,5,6,7,8,4,1]=>[[1,3,4,6,7,8],[2],[5]]=>[[1,2,3,4,6,7],[5],[8]]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[[1,5],[2,6],[3,7],[4],[8]]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[4,3,2,7,8,6,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[[1,2,5],[3,6],[4,7],[8]]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[3,4,2,8,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[[1,5,6],[2,7],[3],[4],[8]]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[3,4,2,7,8,6,5,1]=>[[1,4,5,8],[2,6],[3],[7]]=>[[1,2,5,6],[3,7],[4],[8]]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[2,4,3,8,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[[1,5,7],[2,6],[3],[4],[8]]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[2,4,3,6,8,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[[1,3,5,7],[2,6],[4],[8]]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[2,4,3,6,7,8,5,1]=>[[1,3,5,7,8],[2,6],[4]]=>[[1,2,3,5,7],[4,6],[8]]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[3,2,4,8,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[[1,5,6],[2,7],[3],[4],[8]]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[[1,5,6,7],[2],[3],[4],[8]]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[2,3,4,7,8,6,5,1]=>[[1,3,4,5,8],[2],[6],[7]]=>[[1,2,5,6,7],[3],[4],[8]]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[2,3,4,6,8,7,5,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[[1,3,5,6,7],[2],[4],[8]]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[2,3,4,7,6,8,5,1]=>[[1,3,4,5,8],[2],[6],[7]]=>[[1,2,5,6,7],[3],[4],[8]]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[2,3,4,6,7,8,5,1]=>[[1,3,4,5,7,8],[2],[6]]=>[[1,2,3,5,6,7],[4],[8]]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>[[1,4],[2,5],[3,6],[7],[8]]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[5,4,3,2,7,8,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,4],[3,5],[6],[7],[8]]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[3,5,4,2,7,8,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[[1,2,4,6],[3,5],[7],[8]]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[3,4,5,2,7,8,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>[[1,2,4,5,6],[3,7],[8]]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[2,5,4,3,8,7,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>[[1,4,7],[2,5],[3,6],[8]]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[2,5,4,3,7,8,6,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[[1,2,4,7],[3,5],[6],[8]]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[2,4,5,3,7,8,6,1]=>[[1,3,5,6,8],[2,7],[4]]=>[[1,2,4,5,7],[3,6],[8]]
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[3,2,5,4,7,8,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>[[1,2,4,6],[3,5,7],[8]]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[2,3,5,4,7,8,6,1]=>[[1,3,4,6,8],[2,7],[5]]=>[[1,2,4,6,7],[3,5],[8]]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[4,3,2,5,8,7,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>[[1,4,5],[2,6],[3,7],[8]]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[4,3,2,5,7,8,6,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[[1,2,4,5],[3,6],[7],[8]]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>[3,4,2,5,8,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[[1,4,5,6],[2,7],[3],[8]]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[3,4,2,5,7,8,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>[[1,2,4,5,6],[3,7],[8]]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[3,2,4,5,7,8,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>[[1,2,4,5,6],[3,7],[8]]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[2,3,4,5,8,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[[1,4,5,6,7],[2],[3],[8]]
[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[2,3,4,5,7,8,6,1]=>[[1,3,4,5,6,8],[2],[7]]=>[[1,2,4,5,6,7],[3],[8]]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[6,5,4,3,2,8,7,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[[1,3],[2,4],[5],[6],[7],[8]]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[4,6,5,3,2,8,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[[1,3,5],[2,4],[6],[7],[8]]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[5,4,6,3,2,8,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[[1,3,4],[2,5],[6],[7],[8]]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[3,5,6,4,2,8,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[[1,3,4,6],[2,5],[7],[8]]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[4,3,6,5,2,8,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[[1,3,5],[2,4,6],[7],[8]]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[5,4,3,6,2,8,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[[1,3,4],[2,5],[6],[7],[8]]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[4,5,3,6,2,8,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[[1,3,4,5],[2,6],[7],[8]]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>[3,4,5,6,2,8,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[[1,3,4,5,6],[2,7],[8]]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[2,6,5,4,3,8,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[[1,3,7],[2,4],[5],[6],[8]]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[2,4,6,5,3,8,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[[1,3,5,7],[2,4],[6],[8]]
[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>[2,4,5,6,3,8,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[[1,3,4,5,7],[2,6],[8]]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[3,2,6,5,4,8,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>[[1,3,6],[2,4,7],[5],[8]]
[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>[2,3,5,6,4,8,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>[[1,3,4,6,7],[2,5],[8]]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[4,3,2,6,5,8,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[[1,3,5],[2,4,6],[7],[8]]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>[[1,3,5,7],[2,4,6],[8]]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>[3,2,4,6,5,8,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>[[1,3,5,6],[2,4,7],[8]]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[2,3,4,6,5,8,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>[[1,3,5,6,7],[2,4],[8]]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[5,4,3,2,6,8,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[[1,3,4],[2,5],[6],[7],[8]]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[2,4,5,3,6,8,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[[1,3,4,5,7],[2,6],[8]]
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[3,2,5,4,6,8,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>[[1,3,4,6],[2,5,7],[8]]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[4,3,2,5,6,8,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[[1,3,4,5],[2,6],[7],[8]]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[3,4,2,5,6,8,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[[1,3,4,5,6],[2,7],[8]]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[2,4,3,5,6,8,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[[1,3,4,5,7],[2,6],[8]]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>[3,2,4,5,6,8,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[[1,3,4,5,6],[2,7],[8]]
[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,8,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>[[1,3,4,5,6,7],[2],[8]]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[5,7,6,4,3,2,8,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[[1,2,4],[3],[5],[6],[7],[8]]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>[5,6,7,4,3,2,8,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4],[5],[6],[7],[8]]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[4,7,6,5,3,2,8,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[[1,2,5],[3],[4],[6],[7],[8]]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]=>[4,6,7,5,3,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[[1,2,3,5],[4],[6],[7],[8]]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]=>[6,5,4,7,3,2,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[4,6,5,7,3,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[[1,2,3,5],[4],[6],[7],[8]]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[[1,2,3,4,5],[6],[7],[8]]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[3,5,7,6,4,2,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[[1,2,4,6],[3],[5],[7],[8]]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[3,5,6,7,4,2,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[[1,2,3,4,6],[5],[7],[8]]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[4,3,7,6,5,2,8,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[[1,2,5],[3,6],[4],[7],[8]]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>[3,4,7,6,5,2,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>[[1,2,5,6],[3],[4],[7],[8]]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>[3,4,6,7,5,2,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[[1,2,3,5,6],[4],[7],[8]]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[5,4,3,7,6,2,8,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,4],[3,5],[6],[7],[8]]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>[3,5,4,7,6,2,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[[1,2,4,6],[3,5],[7],[8]]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]]=>[3,4,5,7,6,2,8,1]=>[[1,4,5,6,8],[2],[3],[7]]=>[[1,2,4,5,6],[3],[7],[8]]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[4,6,5,3,7,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[[1,2,3,5],[4],[6],[7],[8]]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4],[5],[6],[7],[8]]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[[1,2,3,4,5],[6],[7],[8]]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[3,6,5,4,7,2,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>[[1,2,3,6],[4],[5],[7],[8]]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[3,5,6,4,7,2,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[[1,2,3,4,6],[5],[7],[8]]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,6,5,7,2,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[[1,2,3,5],[4,6],[7],[8]]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>[3,4,6,5,7,2,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[[1,2,3,5,6],[4],[7],[8]]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]]=>[4,5,3,6,7,2,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[[1,2,3,4,5],[6],[7],[8]]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[3,5,4,6,7,2,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[[1,2,3,4,6],[5],[7],[8]]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]]=>[4,3,5,6,7,2,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[[1,2,3,4,5],[6],[7],[8]]
[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>[3,4,5,6,7,2,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>[[1,2,3,4,5,6],[7],[8]]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[2,7,6,5,4,3,8,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[[1,2,7],[3],[4],[5],[6],[8]]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[2,6,5,7,4,3,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>[[1,2,3,7],[4],[5],[6],[8]]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[2,5,6,7,4,3,8,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[[1,2,3,4,7],[5],[6],[8]]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[2,4,6,7,5,3,8,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[[1,2,3,5,7],[4],[6],[8]]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[2,4,6,5,7,3,8,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[[1,2,3,5,7],[4],[6],[8]]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[2,5,4,6,7,3,8,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[[1,2,3,4,7],[5],[6],[8]]
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[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
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[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>[[1,2,3,4,5,6],[7],[8]]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2,3,4,5,6,7],[8]]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[1,7,8,6,5,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[[1,2,8],[3],[4],[5],[6],[7]]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[1,6,8,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[[1,3,8],[2],[4],[5],[6],[7]]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[1,7,6,8,5,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[[1,2,8],[3],[4],[5],[6],[7]]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[1,6,7,8,5,4,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[1,5,8,7,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[[1,4,8],[2],[3],[5],[6],[7]]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[1,6,5,8,7,4,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[[1,3,8],[2,4],[5],[6],[7]]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[1,7,6,5,8,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[[1,2,8],[3],[4],[5],[6],[7]]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[1,6,7,5,8,4,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[1,5,7,6,8,4,3,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>[[1,2,4,8],[3],[5],[6],[7]]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[1,6,5,7,8,4,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,4,8],[5],[6],[7]]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[1,4,8,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[[1,5,8],[2],[3],[4],[6],[7]]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[1,4,7,8,6,5,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[[1,2,5,8],[3],[4],[6],[7]]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[1,4,6,8,7,5,3,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[[1,3,5,8],[2],[4],[6],[7]]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[1,4,6,7,8,5,3,2]=>[[1,2,5,7,8],[3],[4],[6]]=>[[1,2,3,5,8],[4],[6],[7]]
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>[1,5,4,7,8,6,3,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[[1,2,4,8],[3,5],[6],[7]]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[1,4,5,8,7,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[[1,4,5,8],[2],[3],[6],[7]]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[1,4,6,5,8,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[[1,3,5,8],[2,4],[6],[7]]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[1,7,6,5,4,8,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[[1,2,8],[3],[4],[5],[6],[7]]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[1,4,7,6,5,8,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[[1,2,5,8],[3],[4],[6],[7]]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[1,4,6,7,5,8,3,2]=>[[1,2,5,7,8],[3],[4],[6]]=>[[1,2,3,5,8],[4],[6],[7]]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>[1,6,5,4,7,8,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[1,5,6,4,7,8,3,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,4,8],[5],[6],[7]]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[1,5,4,6,7,8,3,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,4,8],[5],[6],[7]]
[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[1,4,5,6,7,8,3,2]=>[[1,2,5,6,7,8],[3],[4]]=>[[1,2,3,4,5,8],[6],[7]]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[1,3,8,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[[1,6,8],[2],[3],[4],[5],[7]]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[1,3,7,8,6,5,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>[[1,2,6,8],[3],[4],[5],[7]]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[1,3,6,8,7,5,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[[1,3,6,8],[2],[4],[5],[7]]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[1,3,6,7,8,5,4,2]=>[[1,2,4,7,8],[3],[5],[6]]=>[[1,2,3,6,8],[4],[5],[7]]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[1,3,5,8,7,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[[1,4,6,8],[2],[3],[5],[7]]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[[1,2,4,6,8],[3],[5],[7]]=>[[1,2,4,6,8],[3],[5],[7]]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[1,3,5,6,8,7,4,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[[1,3,4,6,8],[2],[5],[7]]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[1,3,6,7,5,8,4,2]=>[[1,2,4,7,8],[3],[5],[6]]=>[[1,2,3,6,8],[4],[5],[7]]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[1,3,6,5,7,8,4,2]=>[[1,2,4,7,8],[3],[5],[6]]=>[[1,2,3,6,8],[4],[5],[7]]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>[[1,2,4,6,7,8],[3],[5]]=>[[1,2,3,4,6,8],[5],[7]]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[[1,5,8],[2,6],[3],[4],[7]]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[1,4,3,7,8,6,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[[1,2,5,8],[3,6],[4],[7]]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[1,4,3,6,8,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[[1,3,5,8],[2,6],[4],[7]]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[1,4,3,7,6,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[[1,2,5,8],[3,6],[4],[7]]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[1,4,3,6,7,8,5,2]=>[[1,2,5,7,8],[3,6],[4]]=>[[1,2,3,5,8],[4,6],[7]]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[[1,5,6,8],[2],[3],[4],[7]]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[1,3,4,7,6,8,5,2]=>[[1,2,4,5,8],[3],[6],[7]]=>[[1,2,5,6,8],[3],[4],[7]]
[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[1,3,4,6,7,8,5,2]=>[[1,2,4,5,7,8],[3],[6]]=>[[1,2,3,5,6,8],[4],[7]]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[1,5,4,3,8,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[[1,4,8],[2,5],[3,6],[7]]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[1,4,5,3,8,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[[1,4,5,8],[2,6],[3],[7]]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[1,4,5,3,7,8,6,2]=>[[1,2,5,6,8],[3,7],[4]]=>[[1,2,4,5,8],[3,6],[7]]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[1,3,5,4,8,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[[1,4,6,8],[2,5],[3],[7]]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[1,4,3,5,7,8,6,2]=>[[1,2,5,6,8],[3,7],[4]]=>[[1,2,4,5,8],[3,6],[7]]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[1,3,4,5,8,7,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[[1,4,5,6,8],[2],[3],[7]]
[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[1,3,4,5,7,8,6,2]=>[[1,2,4,5,6,8],[3],[7]]=>[[1,2,4,5,6,8],[3],[7]]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[1,6,5,4,3,8,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[[1,3,8],[2,4],[5],[6],[7]]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[1,5,6,4,3,8,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[[1,3,4,8],[2,5],[6],[7]]
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[1,4,6,5,3,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[[1,3,5,8],[2,4],[6],[7]]
[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>[1,4,5,6,3,8,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[[1,3,4,5,8],[2,6],[7]]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[[1,3,5,8],[2,4,6],[7]]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[1,5,4,3,6,8,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[[1,3,4,8],[2,5],[6],[7]]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>[1,4,5,3,6,8,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[[1,3,4,5,8],[2,6],[7]]
[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[1,3,4,5,6,8,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>[[1,3,4,5,6,8],[2],[7]]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[1,7,6,5,4,3,8,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[[1,2,8],[3],[4],[5],[6],[7]]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>[1,6,7,5,4,3,8,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[1,6,5,7,4,3,8,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[1,5,6,7,4,3,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,4,8],[5],[6],[7]]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[1,4,6,7,5,3,8,2]=>[[1,2,5,7,8],[3],[4],[6]]=>[[1,2,3,5,8],[4],[6],[7]]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[1,5,6,4,7,3,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,4,8],[5],[6],[7]]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>[1,4,6,5,7,3,8,2]=>[[1,2,5,7,8],[3],[4],[6]]=>[[1,2,3,5,8],[4],[6],[7]]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[1,5,4,6,7,3,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,4,8],[5],[6],[7]]
[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[1,4,5,6,7,3,8,2]=>[[1,2,5,6,7,8],[3],[4]]=>[[1,2,3,4,5,8],[6],[7]]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>[1,3,6,5,7,4,8,2]=>[[1,2,4,7,8],[3],[5],[6]]=>[[1,2,3,6,8],[4],[5],[7]]
[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[1,3,5,6,7,4,8,2]=>[[1,2,4,6,7,8],[3],[5]]=>[[1,2,3,4,6,8],[5],[7]]
[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[1,3,4,6,7,5,8,2]=>[[1,2,4,5,7,8],[3],[6]]=>[[1,2,3,5,6,8],[4],[7]]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[1,3,5,4,7,6,8,2]=>[[1,2,4,6,8],[3,7],[5]]=>[[1,2,4,6,8],[3,5],[7]]
[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>[1,3,4,5,7,6,8,2]=>[[1,2,4,5,6,8],[3],[7]]=>[[1,2,4,5,6,8],[3],[7]]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[1,5,4,6,3,7,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,4,8],[5],[6],[7]]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[1,4,3,6,5,7,8,2]=>[[1,2,5,7,8],[3,6],[4]]=>[[1,2,3,5,8],[4,6],[7]]
[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[1,3,4,6,5,7,8,2]=>[[1,2,4,5,7,8],[3],[6]]=>[[1,2,3,5,6,8],[4],[7]]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[1,5,4,3,6,7,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,4,8],[5],[6],[7]]
[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[1,4,5,3,6,7,8,2]=>[[1,2,5,6,7,8],[3],[4]]=>[[1,2,3,4,5,8],[6],[7]]
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[1,4,3,5,6,7,8,2]=>[[1,2,5,6,7,8],[3],[4]]=>[[1,2,3,4,5,8],[6],[7]]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,2]=>[[1,2,4,5,6,7,8],[3]]=>[[1,2,3,4,5,6,8],[7]]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[[1,7],[2,8],[3],[4],[5],[6]]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[2,1,7,8,6,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[[1,2,7],[3,8],[4],[5],[6]]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[2,1,6,8,7,5,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[[1,3,7],[2,8],[4],[5],[6]]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[2,1,7,6,8,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[[1,2,7],[3,8],[4],[5],[6]]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[[1,2,3,7],[4,8],[5],[6]]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[2,1,5,8,7,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[[1,4,7],[2,8],[3],[5],[6]]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[2,1,5,7,8,6,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[[1,2,4,7],[3,8],[5],[6]]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[2,1,6,5,8,7,4,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[[1,3,7],[2,4,8],[5],[6]]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[2,1,5,6,8,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[[1,3,4,7],[2,8],[5],[6]]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[2,1,7,6,5,8,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[[1,2,7],[3,8],[4],[5],[6]]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[[1,2,3,7],[4,8],[5],[6]]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[2,1,5,7,6,8,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[[1,2,4,7],[3,8],[5],[6]]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[2,1,6,5,7,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[[1,2,3,7],[4,8],[5],[6]]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[2,1,5,6,7,8,4,3]=>[[1,3,6,7,8],[2,4],[5]]=>[[1,2,3,4,7],[5,8],[6]]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[2,1,4,8,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[[1,5,7],[2,8],[3],[4],[6]]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[2,1,4,7,8,6,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[[1,2,5,7],[3,8],[4],[6]]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[2,1,4,6,8,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[[1,3,5,7],[2,8],[4],[6]]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[2,1,4,6,7,8,5,3]=>[[1,3,5,7,8],[2,4],[6]]=>[[1,2,3,5,7],[4,8],[6]]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[2,1,5,4,8,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[[1,4,7],[2,5,8],[3],[6]]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[2,1,5,4,7,8,6,3]=>[[1,3,6,8],[2,4,7],[5]]=>[[1,2,4,7],[3,5,8],[6]]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[2,1,4,5,8,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[[1,4,5,7],[2,8],[3],[6]]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[2,1,4,5,7,8,6,3]=>[[1,3,5,6,8],[2,4],[7]]=>[[1,2,4,5,7],[3,8],[6]]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[2,1,6,5,4,8,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[[1,3,7],[2,4,8],[5],[6]]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[2,1,5,6,4,8,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>[[1,3,4,7],[2,5,8],[6]]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[2,1,4,6,5,8,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[[1,3,5,7],[2,4,8],[6]]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[2,1,5,4,6,8,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>[[1,3,4,7],[2,5,8],[6]]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[2,1,4,5,6,8,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[[1,3,4,5,7],[2,8],[6]]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[2,1,7,6,5,4,8,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[[1,2,7],[3,8],[4],[5],[6]]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[2,1,6,7,5,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[[1,2,3,7],[4,8],[5],[6]]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[2,1,5,7,6,4,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[[1,2,4,7],[3,8],[5],[6]]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,6,5,7,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[[1,2,3,7],[4,8],[5],[6]]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[2,1,5,6,7,4,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[[1,2,3,4,7],[5,8],[6]]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[2,1,4,7,6,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[[1,2,5,7],[3,8],[4],[6]]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[2,1,4,6,7,5,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[[1,2,3,5,7],[4,8],[6]]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,8,3]=>[[1,3,6,8],[2,4,7],[5]]=>[[1,2,4,7],[3,5,8],[6]]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[2,1,5,6,4,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[[1,2,3,4,7],[5,8],[6]]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[2,1,5,4,6,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[[1,2,3,4,7],[5,8],[6]]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[2,1,4,5,6,7,8,3]=>[[1,3,5,6,7,8],[2,4]]=>[[1,2,3,4,5,7],[6,8]]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[[1,7,8],[2],[3],[4],[5],[6]]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[1,2,7,8,6,5,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[[1,2,7,8],[3],[4],[5],[6]]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[1,2,7,6,8,5,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[[1,2,7,8],[3],[4],[5],[6]]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[1,2,6,7,8,5,4,3]=>[[1,2,3,7,8],[4],[5],[6]]=>[[1,2,3,7,8],[4],[5],[6]]
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[1,2,5,8,7,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[[1,4,7,8],[2],[3],[5],[6]]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[1,2,6,5,8,7,4,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[[1,3,7,8],[2,4],[5],[6]]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[1,2,5,6,8,7,4,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[[1,3,4,7,8],[2],[5],[6]]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[1,2,7,6,5,8,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[[1,2,7,8],[3],[4],[5],[6]]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[1,2,5,7,6,8,4,3]=>[[1,2,3,6,8],[4],[5],[7]]=>[[1,2,4,7,8],[3],[5],[6]]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[1,2,6,5,7,8,4,3]=>[[1,2,3,7,8],[4],[5],[6]]=>[[1,2,3,7,8],[4],[5],[6]]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[1,2,5,6,7,8,4,3]=>[[1,2,3,6,7,8],[4],[5]]=>[[1,2,3,4,7,8],[5],[6]]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[1,2,4,8,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[[1,5,7,8],[2],[3],[4],[6]]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[1,2,4,7,8,6,5,3]=>[[1,2,3,5,8],[4],[6],[7]]=>[[1,2,5,7,8],[3],[4],[6]]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[1,2,4,6,8,7,5,3]=>[[1,2,3,5,7],[4],[6],[8]]=>[[1,3,5,7,8],[2],[4],[6]]
[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[1,2,4,6,7,8,5,3]=>[[1,2,3,5,7,8],[4],[6]]=>[[1,2,3,5,7,8],[4],[6]]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[1,2,5,4,8,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[[1,4,7,8],[2,5],[3],[6]]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[1,2,4,5,8,7,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[[1,4,5,7,8],[2],[3],[6]]
[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[1,2,4,5,7,8,6,3]=>[[1,2,3,5,6,8],[4],[7]]=>[[1,2,4,5,7,8],[3],[6]]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[1,2,5,4,6,8,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>[[1,3,4,7,8],[2,5],[6]]
[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[1,2,4,5,6,8,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>[[1,3,4,5,7,8],[2],[6]]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[1,2,7,6,5,4,8,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[[1,2,7,8],[3],[4],[5],[6]]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[1,2,5,7,6,4,8,3]=>[[1,2,3,6,8],[4],[5],[7]]=>[[1,2,4,7,8],[3],[5],[6]]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[1,2,5,6,7,4,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>[[1,2,3,4,7,8],[5],[6]]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[1,2,4,7,6,5,8,3]=>[[1,2,3,5,8],[4],[6],[7]]=>[[1,2,5,7,8],[3],[4],[6]]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[1,2,5,4,7,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>[[1,2,4,7,8],[3,5],[6]]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[1,2,6,5,4,7,8,3]=>[[1,2,3,7,8],[4],[5],[6]]=>[[1,2,3,7,8],[4],[5],[6]]
[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[1,2,5,6,4,7,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>[[1,2,3,4,7,8],[5],[6]]
[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,5,4,6,7,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>[[1,2,3,4,7,8],[5],[6]]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[1,2,4,5,6,7,8,3]=>[[1,2,3,5,6,7,8],[4]]=>[[1,2,3,4,5,7,8],[6]]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[[1,6],[2,7],[3,8],[4],[5]]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[3,2,1,7,8,6,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[[1,2,6],[3,7],[4,8],[5]]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[3,2,1,6,8,7,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[[1,3,6],[2,7],[4,8],[5]]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[3,2,1,7,6,8,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[[1,2,6],[3,7],[4,8],[5]]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[3,2,1,6,7,8,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>[[1,2,3,6],[4,7],[5,8]]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[3,2,1,5,8,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[[1,4,6],[2,7],[3,8],[5]]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[3,2,1,5,7,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>[[1,2,4,6],[3,7],[5,8]]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[[1,3,6],[2,4,7],[5,8]]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[3,2,1,5,6,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[[1,3,4,6],[2,7],[5,8]]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[3,2,1,7,6,5,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[[1,2,6],[3,7],[4,8],[5]]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[3,2,1,6,7,5,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>[[1,2,3,6],[4,7],[5,8]]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[3,2,1,5,7,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>[[1,2,4,6],[3,7],[5,8]]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[3,2,1,6,5,7,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>[[1,2,3,6],[4,7],[5,8]]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[3,2,1,5,6,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>[[1,2,3,4,6],[5,7],[8]]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[2,3,1,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[[1,6,7],[2,8],[3],[4],[5]]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[2,3,1,7,8,6,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[[1,2,6,7],[3,8],[4],[5]]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[2,3,1,6,8,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[[1,3,6,7],[2,8],[4],[5]]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[2,3,1,7,6,8,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[[1,2,6,7],[3,8],[4],[5]]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[2,3,1,6,7,8,5,4]=>[[1,3,4,7,8],[2,5],[6]]=>[[1,2,3,6,7],[4,8],[5]]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[2,3,1,5,7,8,6,4]=>[[1,3,4,6,8],[2,5],[7]]=>[[1,2,4,6,7],[3,8],[5]]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[2,3,1,6,5,8,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[[1,3,6,7],[2,4,8],[5]]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[2,3,1,7,6,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[[1,2,6,7],[3,8],[4],[5]]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[2,3,1,6,7,5,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>[[1,2,3,6,7],[4,8],[5]]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[2,3,1,5,7,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>[[1,2,4,6,7],[3,8],[5]]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[2,3,1,5,6,7,8,4]=>[[1,3,4,6,7,8],[2,5]]=>[[1,2,3,4,6,7],[5,8]]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[1,3,2,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[[1,6,8],[2,7],[3],[4],[5]]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[1,3,2,6,8,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[[1,3,6,8],[2,7],[4],[5]]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[1,3,2,7,6,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[[1,2,6,8],[3,7],[4],[5]]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[1,3,2,6,7,8,5,4]=>[[1,2,4,7,8],[3,5],[6]]=>[[1,2,3,6,8],[4,7],[5]]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[1,3,2,5,8,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[[1,4,6,8],[2,7],[3],[5]]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[1,3,2,5,7,8,6,4]=>[[1,2,4,6,8],[3,5],[7]]=>[[1,2,4,6,8],[3,7],[5]]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[1,3,2,6,5,8,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>[[1,3,6,8],[2,4,7],[5]]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[1,3,2,5,6,8,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[[1,3,4,6,8],[2,7],[5]]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[1,3,2,7,6,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[[1,2,6,8],[3,7],[4],[5]]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[1,3,2,6,7,5,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>[[1,2,3,6,8],[4,7],[5]]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[1,3,2,6,5,7,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>[[1,2,3,6,8],[4,7],[5]]
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[1,3,2,5,6,7,8,4]=>[[1,2,4,6,7,8],[3,5]]=>[[1,2,3,4,6,8],[5,7]]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[2,1,3,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[[1,6,7],[2,8],[3],[4],[5]]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[2,1,3,7,8,6,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[[1,2,6,7],[3,8],[4],[5]]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[2,1,3,6,8,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[[1,3,6,7],[2,8],[4],[5]]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[2,1,3,6,7,8,5,4]=>[[1,3,4,7,8],[2,5],[6]]=>[[1,2,3,6,7],[4,8],[5]]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[2,1,3,6,5,8,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[[1,3,6,7],[2,4,8],[5]]
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[2,1,3,5,6,7,8,4]=>[[1,3,4,6,7,8],[2,5]]=>[[1,2,3,4,6,7],[5,8]]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[[1,6,7,8],[2],[3],[4],[5]]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[1,2,3,7,8,6,5,4]=>[[1,2,3,4,8],[5],[6],[7]]=>[[1,2,6,7,8],[3],[4],[5]]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[[1,3,6,7,8],[2],[4],[5]]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[1,2,3,7,6,8,5,4]=>[[1,2,3,4,8],[5],[6],[7]]=>[[1,2,6,7,8],[3],[4],[5]]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[1,2,3,6,7,8,5,4]=>[[1,2,3,4,7,8],[5],[6]]=>[[1,2,3,6,7,8],[4],[5]]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[1,2,3,5,8,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[[1,4,6,7,8],[2],[3],[5]]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[1,2,3,5,7,8,6,4]=>[[1,2,3,4,6,8],[5],[7]]=>[[1,2,4,6,7,8],[3],[5]]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[[1,3,6,7,8],[2,4],[5]]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[1,2,3,5,6,8,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>[[1,3,4,6,7,8],[2],[5]]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[1,2,3,7,6,5,8,4]=>[[1,2,3,4,8],[5],[6],[7]]=>[[1,2,6,7,8],[3],[4],[5]]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[1,2,3,6,7,5,8,4]=>[[1,2,3,4,7,8],[5],[6]]=>[[1,2,3,6,7,8],[4],[5]]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[1,2,3,5,7,6,8,4]=>[[1,2,3,4,6,8],[5],[7]]=>[[1,2,4,6,7,8],[3],[5]]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,6,5,7,8,4]=>[[1,2,3,4,7,8],[5],[6]]=>[[1,2,3,6,7,8],[4],[5]]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[[1,2,3,4,6,7,8],[5]]=>[[1,2,3,4,6,7,8],[5]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[[1,5],[2,6],[3,7],[4,8]]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[[1,2,5],[3,6],[4,7],[8]]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[[1,3,5],[2,6],[4,7],[8]]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[[1,2,5],[3,6],[4,7],[8]]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[[1,2,3,5],[4,6],[7],[8]]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[[1,5,6],[2,7],[3,8],[4]]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4,8]]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[3,4,2,1,6,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[[1,3,5,6],[2,7],[4,8]]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[3,4,2,1,7,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4,8]]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[3,4,2,1,6,7,8,5]=>[[1,4,5,7,8],[2,6],[3]]=>[[1,2,3,5,6],[4,7],[8]]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[[1,5,7],[2,6],[3,8],[4]]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[2,4,3,1,7,8,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>[[1,2,5,7],[3,6],[4,8]]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[[1,3,5,7],[2,6],[4,8]]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[2,4,3,1,7,6,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>[[1,2,5,7],[3,6],[4,8]]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[2,4,3,1,6,7,8,5]=>[[1,3,5,7,8],[2,6],[4]]=>[[1,2,3,5,7],[4,6],[8]]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[[1,5,6],[2,7],[3,8],[4]]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[3,2,4,1,7,8,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4,8]]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[3,2,4,1,6,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[[1,3,5,6],[2,7],[4,8]]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4,8]]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[3,2,4,1,6,7,8,5]=>[[1,4,5,7,8],[2,6],[3]]=>[[1,2,3,5,6],[4,7],[8]]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[[1,5,6,7],[2,8],[3],[4]]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[2,3,4,1,7,8,6,5]=>[[1,3,4,5,8],[2,6],[7]]=>[[1,2,5,6,7],[3,8],[4]]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[2,3,4,1,6,8,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[[1,3,5,6,7],[2,8],[4]]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[2,3,4,1,7,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>[[1,2,5,6,7],[3,8],[4]]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[2,3,4,1,6,7,8,5]=>[[1,3,4,5,7,8],[2,6]]=>[[1,2,3,5,6,7],[4,8]]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[[1,5,8],[2,6],[3,7],[4]]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[1,4,3,2,6,8,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[[1,3,5,8],[2,6],[4,7]]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[1,4,3,2,7,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>[[1,2,5,8],[3,6],[4,7]]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[1,4,3,2,6,7,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>[[1,2,3,5,8],[4,6],[7]]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[[1,5,6,8],[2,7],[3],[4]]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[1,3,4,2,7,8,6,5]=>[[1,2,4,5,8],[3,6],[7]]=>[[1,2,5,6,8],[3,7],[4]]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[1,3,4,2,6,8,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[[1,3,5,6,8],[2,7],[4]]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[1,3,4,2,7,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[[1,2,5,6,8],[3,7],[4]]
[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[1,3,4,2,6,7,8,5]=>[[1,2,4,5,7,8],[3,6]]=>[[1,2,3,5,6,8],[4,7]]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[[1,5,7],[2,6,8],[3],[4]]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[[1,3,5,8],[2,4,6],[7]]=>[[1,2,5,7],[3,6,8],[4]]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[[1,3,5,7],[2,6,8],[4]]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[[1,2,5,7],[3,6,8],[4]]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[[1,3,5,7,8],[2,4,6]]=>[[1,2,3,5,7],[4,6,8]]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[[1,5,7,8],[2,6],[3],[4]]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[1,2,4,3,7,8,6,5]=>[[1,2,3,5,8],[4,6],[7]]=>[[1,2,5,7,8],[3,6],[4]]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[1,2,4,3,7,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[[1,2,5,7,8],[3,6],[4]]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[1,2,4,3,6,7,8,5]=>[[1,2,3,5,7,8],[4,6]]=>[[1,2,3,5,7,8],[4,6]]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[[1,5,6],[2,7],[3,8],[4]]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[3,2,1,4,7,8,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4,8]]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[3,2,1,4,6,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[[1,3,5,6],[2,7],[4,8]]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[3,2,1,4,7,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4,8]]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[3,2,1,4,6,7,8,5]=>[[1,4,5,7,8],[2,6],[3]]=>[[1,2,3,5,6],[4,7],[8]]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[[1,5,6,7],[2,8],[3],[4]]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[2,3,1,4,7,8,6,5]=>[[1,3,4,5,8],[2,6],[7]]=>[[1,2,5,6,7],[3,8],[4]]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[2,3,1,4,7,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>[[1,2,5,6,7],[3,8],[4]]
[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[2,3,1,4,6,7,8,5]=>[[1,3,4,5,7,8],[2,6]]=>[[1,2,3,5,6,7],[4,8]]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[[1,5,6,8],[2,7],[3],[4]]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[1,3,2,4,6,8,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[[1,3,5,6,8],[2,7],[4]]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[1,3,2,4,7,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[[1,2,5,6,8],[3,7],[4]]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[1,3,2,4,6,7,8,5]=>[[1,2,4,5,7,8],[3,6]]=>[[1,2,3,5,6,8],[4,7]]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[[1,5,6,7],[2,8],[3],[4]]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[2,1,3,4,7,8,6,5]=>[[1,3,4,5,8],[2,6],[7]]=>[[1,2,5,6,7],[3,8],[4]]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[2,1,3,4,7,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>[[1,2,5,6,7],[3,8],[4]]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[2,1,3,4,6,7,8,5]=>[[1,3,4,5,7,8],[2,6]]=>[[1,2,3,5,6,7],[4,8]]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[[1,5,6,7,8],[2],[3],[4]]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[1,2,3,4,7,8,6,5]=>[[1,2,3,4,5,8],[6],[7]]=>[[1,2,5,6,7,8],[3],[4]]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[1,2,3,4,6,8,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>[[1,3,5,6,7,8],[2],[4]]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,7,6,8,5]=>[[1,2,3,4,5,8],[6],[7]]=>[[1,2,5,6,7,8],[3],[4]]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,6,7,8,5]=>[[1,2,3,4,5,7,8],[6]]=>[[1,2,3,5,6,7,8],[4]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[[1,4],[2,5],[3,6],[7],[8]]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,4],[3,5],[6],[7],[8]]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[4,5,3,2,1,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[[1,4,5],[2,6],[3,7],[8]]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[3,5,4,2,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[[1,4,6],[2,5],[3,7],[8]]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[3,5,4,2,1,7,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[[1,2,4,6],[3,5],[7],[8]]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[4,3,5,2,1,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[[1,4,5],[2,6],[3,7],[8]]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[3,4,5,2,1,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[[1,4,5,6],[2,7],[3,8]]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[2,5,4,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[[1,4,7],[2,5],[3,6],[8]]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[2,4,5,3,1,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[[1,4,5,7],[2,6],[3,8]]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[2,4,5,3,1,7,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>[[1,2,4,5,7],[3,6],[8]]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[[1,4,6],[2,5,7],[3,8]]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[3,2,5,4,1,7,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>[[1,2,4,6],[3,5,7],[8]]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[2,3,5,4,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[[1,4,6,7],[2,5],[3,8]]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[4,3,2,5,1,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[[1,4,5],[2,6],[3,7],[8]]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[4,3,2,5,1,7,8,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[[1,2,4,5],[3,6],[7],[8]]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[3,4,2,5,1,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[[1,4,5,6],[2,7],[3,8]]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[3,4,2,5,1,7,8,6]=>[[1,4,5,6,8],[2,7],[3]]=>[[1,2,4,5,6],[3,7],[8]]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[2,4,3,5,1,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[[1,4,5,7],[2,6],[3,8]]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[2,4,3,5,1,7,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>[[1,2,4,5,7],[3,6],[8]]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>[3,2,4,5,1,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[[1,4,5,6],[2,7],[3,8]]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[2,3,4,5,1,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[[1,4,5,6,7],[2,8],[3]]
[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[2,3,4,5,1,7,8,6]=>[[1,3,4,5,6,8],[2,7]]=>[[1,2,4,5,6,7],[3,8]]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[1,5,4,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[[1,4,8],[2,5],[3,6],[7]]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[1,5,4,3,2,7,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[[1,2,4,8],[3,5],[6],[7]]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[1,4,5,3,2,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[[1,4,5,8],[2,6],[3,7]]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[1,4,5,3,2,7,8,6]=>[[1,2,5,6,8],[3,7],[4]]=>[[1,2,4,5,8],[3,6],[7]]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[1,3,5,4,2,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>[[1,2,4,6,8],[3,5],[7]]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[1,3,4,5,2,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[[1,4,5,6,8],[2,7],[3]]
[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[1,3,4,5,2,7,8,6]=>[[1,2,4,5,6,8],[3,7]]=>[[1,2,4,5,6,8],[3,7]]
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[2,1,4,5,3,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[[1,4,5,7],[2,6,8],[3]]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[1,2,5,4,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[[1,4,7,8],[2,5],[3,6]]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[1,2,5,4,3,7,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>[[1,2,4,7,8],[3,5],[6]]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[1,2,4,5,3,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[[1,4,5,7,8],[2,6],[3]]
[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[1,2,4,5,3,7,8,6]=>[[1,2,3,5,6,8],[4,7]]=>[[1,2,4,5,7,8],[3,6]]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[1,3,2,5,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[[1,4,6,8],[2,5,7],[3]]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[1,3,2,5,4,7,8,6]=>[[1,2,4,6,8],[3,5,7]]=>[[1,2,4,6,8],[3,5,7]]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[2,1,3,5,4,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[[1,4,6,7],[2,5,8],[3]]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[2,1,3,5,4,7,8,6]=>[[1,3,4,6,8],[2,5,7]]=>[[1,2,4,6,7],[3,5,8]]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[1,2,3,5,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[[1,4,6,7,8],[2,5],[3]]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[1,2,3,5,4,7,8,6]=>[[1,2,3,4,6,8],[5,7]]=>[[1,2,4,6,7,8],[3,5]]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[[1,4,5],[2,6],[3,7],[8]]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[[1,2,4,5],[3,6],[7],[8]]
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[2,4,3,1,5,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[[1,4,5,7],[2,6],[3,8]]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[3,2,4,1,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[[1,4,5,6],[2,7],[3,8]]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[3,2,4,1,5,7,8,6]=>[[1,4,5,6,8],[2,7],[3]]=>[[1,2,4,5,6],[3,7],[8]]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[2,3,4,1,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[[1,4,5,6,7],[2,8],[3]]
[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[2,3,4,1,5,7,8,6]=>[[1,3,4,5,6,8],[2,7]]=>[[1,2,4,5,6,7],[3,8]]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[1,4,3,2,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[[1,4,5,8],[2,6],[3,7]]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[1,4,3,2,5,7,8,6]=>[[1,2,5,6,8],[3,7],[4]]=>[[1,2,4,5,8],[3,6],[7]]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[1,3,4,2,5,7,8,6]=>[[1,2,4,5,6,8],[3,7]]=>[[1,2,4,5,6,8],[3,7]]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[2,1,4,3,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[[1,4,5,7],[2,6,8],[3]]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[2,1,4,3,5,7,8,6]=>[[1,3,5,6,8],[2,4,7]]=>[[1,2,4,5,7],[3,6,8]]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[1,2,4,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[[1,4,5,7,8],[2,6],[3]]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[1,2,4,3,5,7,8,6]=>[[1,2,3,5,6,8],[4,7]]=>[[1,2,4,5,7,8],[3,6]]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[3,2,1,4,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[[1,4,5,6],[2,7],[3,8]]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[3,2,1,4,5,7,8,6]=>[[1,4,5,6,8],[2,7],[3]]=>[[1,2,4,5,6],[3,7],[8]]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[2,3,1,4,5,7,8,6]=>[[1,3,4,5,6,8],[2,7]]=>[[1,2,4,5,6,7],[3,8]]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[1,3,2,4,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[[1,4,5,6,8],[2,7],[3]]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[1,3,2,4,5,7,8,6]=>[[1,2,4,5,6,8],[3,7]]=>[[1,2,4,5,6,8],[3,7]]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[2,1,3,4,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[[1,4,5,6,7],[2,8],[3]]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[2,1,3,4,5,7,8,6]=>[[1,3,4,5,6,8],[2,7]]=>[[1,2,4,5,6,7],[3,8]]
[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>[[1,4,5,6,7,8],[2],[3]]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,7,8,6]=>[[1,2,3,4,5,6,8],[7]]=>[[1,2,4,5,6,7,8],[3]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[[1,3],[2,4],[5],[6],[7],[8]]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[5,6,4,3,2,1,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[[1,3,4],[2,5],[6],[7],[8]]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[4,6,5,3,2,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[[1,3,5],[2,4],[6],[7],[8]]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[5,4,6,3,2,1,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[[1,3,4],[2,5],[6],[7],[8]]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[[1,3,4,5],[2,6],[7],[8]]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[3,6,5,4,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[[1,3,6],[2,4],[5],[7],[8]]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[3,5,6,4,2,1,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[[1,3,4,6],[2,5],[7],[8]]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[4,3,6,5,2,1,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[[1,3,5],[2,4,6],[7],[8]]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>[3,4,6,5,2,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[[1,3,5,6],[2,4],[7],[8]]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[5,4,3,6,2,1,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[[1,3,4],[2,5],[6],[7],[8]]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[4,5,3,6,2,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[[1,3,4,5],[2,6],[7],[8]]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>[4,3,5,6,2,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[[1,3,4,5],[2,6],[7],[8]]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[3,4,5,6,2,1,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[[1,3,4,5,6],[2,7],[8]]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[2,6,5,4,3,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[[1,3,7],[2,4],[5],[6],[8]]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[2,5,6,4,3,1,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[[1,3,4,7],[2,5],[6],[8]]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[2,4,6,5,3,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[[1,3,5,7],[2,4],[6],[8]]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[3,2,6,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[[1,3,6],[2,4,7],[5],[8]]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[3,2,5,6,4,1,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[[1,3,4,6],[2,5,7],[8]]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[2,3,6,5,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[[1,3,6,7],[2,4],[5],[8]]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[2,3,5,6,4,1,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>[[1,3,4,6,7],[2,5],[8]]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[4,3,2,6,5,1,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[[1,3,5],[2,4,6],[7],[8]]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[3,4,2,6,5,1,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[[1,3,5,6],[2,4,7],[8]]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,1,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[[1,3,5,7],[2,4,6],[8]]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[5,4,3,2,6,1,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[[1,3,4],[2,5],[6],[7],[8]]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[4,3,5,2,6,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[[1,3,4,5],[2,6],[7],[8]]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[3,4,5,2,6,1,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[[1,3,4,5,6],[2,7],[8]]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>[2,5,4,3,6,1,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[[1,3,4,7],[2,5],[6],[8]]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>[2,4,5,3,6,1,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>[[1,3,4,5,7],[2,6],[8]]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[3,2,5,4,6,1,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[[1,3,4,6],[2,5,7],[8]]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[4,3,2,5,6,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[[1,3,4,5],[2,6],[7],[8]]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[3,4,2,5,6,1,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[[1,3,4,5,6],[2,7],[8]]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>[2,4,3,5,6,1,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>[[1,3,4,5,7],[2,6],[8]]
[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,1,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[[1,3,4,5,6,7],[2,8]]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[1,6,5,4,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[[1,3,8],[2,4],[5],[6],[7]]
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>[1,5,6,4,3,2,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[[1,3,4,8],[2,5],[6],[7]]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>[1,5,4,6,3,2,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[[1,3,4,8],[2,5],[6],[7]]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[1,3,6,5,4,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[[1,3,6,8],[2,4],[5],[7]]
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[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[9,10,8,7,6,5,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>[7,9,8,6,5,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>[6,7,8,9,10,5,4,3,2,1]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]]=>[3,5,6,7,8,9,4,2,1]=>[[1,4,6,7,8,9],[2],[3],[5]]=>[[1,2,3,4,5,7],[6],[8],[9]]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,10,3,2,1]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[2,4,5,6,7,8,9,3,1]=>[[1,3,5,6,7,8,9],[2],[4]]=>[[1,2,3,4,5,6,8],[7],[9]]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,10,2,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[[1,2,3,4,5,6,7,8],[9],[10]]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8,9],[3]]=>[[1,2,3,4,5,6,7,9],[8]]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[[1,2,3,4,5,6,7,8,9],[10]]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10]=>[[1,2,3,4,5,6,7,8,9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[8,7,9,6,5,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]=>[8,7,6,9,5,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]=>[8,7,6,5,9,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>[8,7,6,5,4,9,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>[8,7,6,5,4,3,9,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[8,7,6,5,4,3,2,9,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[8,7,6,5,4,3,2,1,9]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[9,8,10,7,6,5,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]=>[6,8,7,9,5,4,3,2,1]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[[1,2,4],[3],[5],[6],[7],[8],[9]]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]=>[9,8,7,10,6,5,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]=>[5,8,7,6,9,4,3,2,1]=>[[1,6,9],[2],[3],[4],[5],[7],[8]]=>[[1,2,5],[3],[4],[6],[7],[8],[9]]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>[9,8,7,6,10,5,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>[9,8,7,6,5,10,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>[9,8,7,6,5,4,10,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>[9,8,7,6,5,4,3,10,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[1,8,7,6,5,4,3,2,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[9,8,7,6,5,4,3,2,10,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>[9,8,7,6,5,4,3,2,1,10]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]=>[1,6,7,5,8,4,9,3,10,2]=>[[1,2,7,8,9,10],[3],[4],[5],[6]]=>[[1,2,3,4,5,10],[6],[7],[8],[9]]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]=>[5,6,4,7,3,8,2,9,1,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,10,9,1]=>[[1,3,5,7,9],[2,6,8,10],[4]]=>[[1,3,5,7,9],[2,4,6,8],[10]]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,9,8,1,10]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>[[1,2,4,6,8],[3,5,7,9],[10]]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>[[1,3,5,7,9],[2,4,6,8,10]]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,3,4,5,6,7,8,9],[2]]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,8,10,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,3,4,5,6,7,8,9,10],[2]]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,7,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[[1,3,4,5,6,7,8],[2,9]]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>[[1,2,3,4,5,6,7],[8],[9]]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,8,9,11,10]=>[[1,2,3,4,5,6,7,8,9,10],[11]]=>[[1,3,4,5,6,7,8,9,10,11],[2]]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,7,8,10,9]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[[1,3,4,5,6,7,8,9],[2,10]]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>[1,3,2,4,5,6,7,9,8]=>[[1,2,4,5,6,7,8],[3,9]]=>[[1,3,4,5,6,7,9],[2,8]]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>[2,3,1,4,5,6,7,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[[1,3,4,5,6,7,8],[2,9]]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>[2,4,3,5,6,7,8,9,1]=>[[1,3,5,6,7,8,9],[2],[4]]=>[[1,2,3,4,5,6,8],[7],[9]]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[3,4,2,5,6,7,8,9,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>[[1,2,3,4,5,6,7],[8],[9]]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,10,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[[1,2,3,4,5,6,7,8],[9],[10]]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[1,3,4,5,6,7,8,9,10,11],[2]]=>[[1,2,3,4,5,6,7,8,9,10],[11]]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,6,8,9,7]=>[[1,2,3,4,5,6,7,9],[8]]=>[[1,2,4,5,6,7,8,9],[3]]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,7,8,9,6]=>[[1,2,3,4,5,6,8,9],[7]]=>[[1,2,3,5,6,7,8,9],[4]]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,3]=>[[1,2,3,5,6,7,8,9],[4]]=>[[1,2,3,4,5,6,8,9],[7]]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,6,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[[1,4,5,6,7,8,9],[2],[3]]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,6,7,9,10,8]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[[1,2,4,5,6,7,8,9,10],[3]]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,6,8,9,10,7]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[[1,2,3,5,6,7,8,9,10],[4]]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,4,5,7,8,9,10,6]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[[1,2,3,4,6,7,8,9,10],[5]]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[1,2,3,4,6,7,8,9,10,5]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[[1,2,3,4,5,7,8,9,10],[6]]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]]=>[1,2,5,4,6,7,8,9,3]=>[[1,2,3,6,7,8,9],[4],[5]]=>[[1,2,3,4,5,8,9],[6],[7]]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,3,5,6,7,8,9,10,4]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[[1,2,3,4,5,6,8,9,10],[7]]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>[1,4,3,5,6,7,8,9,2]=>[[1,2,5,6,7,8,9],[3],[4]]=>[[1,2,3,4,5,6,9],[7],[8]]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,10,3]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[[1,2,3,4,5,6,7,9,10],[8]]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,10,2]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[[1,2,3,4,5,6,7,8,10],[9]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[1,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>[7,8,6,5,4,3,2,1,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[1,8,9,7,6,5,4,3,2]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[1,10,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>[8,9,7,6,5,4,3,2,1,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]=>[7,6,8,5,4,3,2,1,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[1,8,7,9,6,5,4,3,2]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[1,9,10,8,7,6,5,4,3,2]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>[6,5,7,4,8,3,9,2,10,1]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,9,8,10,1]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>[[1,2,4,6,8],[3,5,7,9],[10]]
[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,10,9,2]=>[[1,2,5,7,9],[3,6,8,10],[4]]=>[[1,3,5,7,10],[2,4,6,8],[9]]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[2,1,9,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>[3,2,1,9,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8],[9]]=>[[1,7],[2,8],[3,9],[4],[5],[6]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>[4,3,2,1,9,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8],[9]]=>[[1,6],[2,7],[3,8],[4,9],[5]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>[5,4,3,2,1,9,8,7,6]=>[[1,6],[2,7],[3,8],[4,9],[5]]=>[[1,5],[2,6],[3,7],[4,8],[9]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>[6,5,4,3,2,1,9,8,7]=>[[1,7],[2,8],[3,9],[4],[5],[6]]=>[[1,4],[2,5],[3,6],[7],[8],[9]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[7,6,5,4,3,2,1,9,8]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,2,9,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[2,1,10,9,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[3,2,1,10,9,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>[4,3,2,1,10,9,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1,10,9,8,7,6]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>[6,5,4,3,2,1,10,9,8,7]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]]=>[6,7,5,4,3,2,1,9,8]=>[[1,7,8],[2,9],[3],[4],[5],[6]]=>[[1,3,4],[2,5],[6],[7],[8],[9]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>[7,6,5,4,3,2,1,10,9,8]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[8,7,6,5,4,3,2,1,10,9]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[7,6,5,4,3,2,1,8,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[6,5,4,3,2,1,7,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[5,4,3,2,1,6,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7],[8],[9]]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[[1,2,3,4,5,6],[7],[8],[9]]
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[[.,[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]],.]=>[7,6,5,8,9,4,3,2,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]
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[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,2,3,10,9,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[1,9,8,10,7,6,5,4,3,2]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]
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[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.]=>[3,4,2,1,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[[1,2,3,4,5,6,7,8],[9],[10]]
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[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.]=>[7,6,5,8,4,3,2,1,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]
[[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]],.]=>[6,7,5,8,4,3,2,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]
[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]]=>[4,3,2,1,8,9,7,6,5]=>[[1,5,9],[2,6],[3,7],[4,8]]=>[[1,2,6],[3,7],[4,8],[5,9]]
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.]=>[2,3,1,5,4,6,7,8,9]=>[[1,3,4,6,7,8,9],[2,5]]=>[[1,2,3,4,5,7,8],[6,9]]
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.]=>[4,5,3,2,1,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[[1,2,3,4,5,6],[7],[8],[9]]
[[.,[.,[.,[.,.]]]],[[[[[.,.],.],.],.],.]]=>[4,3,2,1,6,7,8,9,10,5]=>[[1,5,7,8,9,10],[2,6],[3],[4]]=>[[1,2,3,4,5,7],[6,8],[9],[10]]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.]=>[3,2,4,5,6,7,8,1,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[[1,2,3,4,5,6,7],[8],[9]]
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,3,9,8,7,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[[1,7,8],[2],[3],[4],[5],[6],[9]]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,7,1,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[[1,3,4,5,6,7,8],[2,9]]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]=>[1,3,4,2,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[[1,2,3,4,5,6,7,9],[8]]
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.]=>[8,7,6,5,4,3,2,9,1,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]
[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]]=>[1,4,5,6,7,8,3,9,2]=>[[1,2,5,6,7,8,9],[3],[4]]=>[[1,2,3,4,5,6,9],[7],[8]]
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]]=>[2,1,3,5,6,7,8,9,4]=>[[1,3,4,6,7,8,9],[2,5]]=>[[1,2,3,4,5,7,8],[6,9]]
[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.]=>[5,6,4,3,2,1,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7],[8],[9]]
[[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.]=>[5,6,4,3,2,1,7,8,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]
[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.]=>[6,7,5,4,3,2,1,8,9,10]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]
[[[.,[[.,[.,[.,[[.,.],.]]]],.]],.],.]=>[5,6,4,3,2,7,1,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7],[8],[9]]
[[[.,.],.],[[[.,[[[.,.],.],.]],.],.]]=>[1,2,5,6,7,4,8,9,3]=>[[1,2,3,6,7,8,9],[4],[5]]=>[[1,2,3,4,5,8,9],[6],[7]]
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.]=>[6,7,5,4,3,2,1,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]
[[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]]=>[5,4,3,2,1,8,9,7,6]=>[[1,6,9],[2,7],[3,8],[4],[5]]=>[[1,2,5],[3,6],[4,7],[8],[9]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]=>[7,6,5,4,3,2,1,9,10,8]=>[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>[[1,2,4],[3,5],[6],[7],[8],[9],[10]]
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
Robinson-Schensted insertion tableau
Description
Sends a permutation to its Robinson-Schensted insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
Map
Schützenberger involution
Description
Sends a standard tableau to the standard tableau obtained via the Schützenberger involution.
searching the database
Sorry, this map was not found in the database.