Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00070: Permutations —Robinson-Schensted recording tableau⟶ Standard tableaux
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00070: Permutations —Robinson-Schensted recording tableau⟶ Standard tableaux
Images
=>
Cc0010;cc-rep-0Cc0007;cc-rep-3
[.,.]=>[1]=>[1]=>[[1]]
[.,[.,.]]=>[2,1]=>[2,1]=>[[1],[2]]
[[.,.],.]=>[1,2]=>[1,2]=>[[1,2]]
[.,[.,[.,.]]]=>[3,2,1]=>[3,1,2]=>[[1,3],[2]]
[.,[[.,.],.]]=>[2,3,1]=>[3,2,1]=>[[1],[2],[3]]
[[.,.],[.,.]]=>[1,3,2]=>[1,3,2]=>[[1,2],[3]]
[[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>[[1,3],[2]]
[[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[[1,2,3]]
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,1,2,3]=>[[1,3,4],[2]]
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[4,1,3,2]=>[[1,3],[2],[4]]
[.,[[.,.],[.,.]]]=>[2,4,3,1]=>[4,2,1,3]=>[[1,4],[2],[3]]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[4,3,2,1]=>[[1],[2],[3],[4]]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[4,2,3,1]=>[[1,3],[2],[4]]
[[.,.],[.,[.,.]]]=>[1,4,3,2]=>[1,4,2,3]=>[[1,2,4],[3]]
[[.,.],[[.,.],.]]=>[1,3,4,2]=>[1,4,3,2]=>[[1,2],[3],[4]]
[[.,[.,.]],[.,.]]=>[2,1,4,3]=>[2,1,4,3]=>[[1,3],[2,4]]
[[[.,.],.],[.,.]]=>[1,2,4,3]=>[1,2,4,3]=>[[1,2,3],[4]]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,1,2,4]=>[[1,3,4],[2]]
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,2,1,4]=>[[1,4],[2],[3]]
[[[.,.],[.,.]],.]=>[1,3,2,4]=>[1,3,2,4]=>[[1,2,4],[3]]
[[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,3,4]=>[[1,3,4],[2]]
[[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[[1,2,3,4]]
[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,1,2,3,4]=>[[1,3,4,5],[2]]
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[5,1,2,4,3]=>[[1,3,4],[2],[5]]
[.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[5,1,3,2,4]=>[[1,3,5],[2],[4]]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[5,1,4,3,2]=>[[1,3],[2],[4],[5]]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[5,1,3,4,2]=>[[1,3,4],[2],[5]]
[.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[5,2,1,3,4]=>[[1,4,5],[2],[3]]
[.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[5,2,1,4,3]=>[[1,4],[2,5],[3]]
[.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[5,3,2,1,4]=>[[1,5],[2],[3],[4]]
[.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[5,2,3,1,4]=>[[1,3,5],[2],[4]]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[5,4,2,3,1]=>[[1,4],[2],[3],[5]]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]
[.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[[1,3],[2],[4],[5]]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[[1,4],[2],[3],[5]]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[1,3,4],[2],[5]]
[[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[1,5,2,3,4]=>[[1,2,4,5],[3]]
[[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[1,5,2,4,3]=>[[1,2,4],[3],[5]]
[[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[1,5,3,2,4]=>[[1,2,5],[3],[4]]
[[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[[1,2],[3],[4],[5]]
[[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[[1,2,4],[3],[5]]
[[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[2,1,5,3,4]=>[[1,3,5],[2,4]]
[[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[1,3],[2,4],[5]]
[[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[1,2,5,3,4]=>[[1,2,3,5],[4]]
[[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[[1,2,3],[4],[5]]
[[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[3,1,2,5,4]=>[[1,3,4],[2,5]]
[[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[[1,4],[2,5],[3]]
[[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[[1,2,4],[3,5]]
[[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[[1,3,4],[2,5]]
[[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[[1,2,3,4],[5]]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,1,2,3,5]=>[[1,3,4,5],[2]]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[4,1,3,2,5]=>[[1,3,5],[2],[4]]
[[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[4,2,1,3,5]=>[[1,4,5],[2],[3]]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]]
[[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[1,4,2,3,5]=>[[1,2,4,5],[3]]
[[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[[1,2,5],[3],[4]]
[[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[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]]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[1,3,4,5],[2]]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]
[[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[[1,2,4,5],[3]]
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[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]]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,1,2,3,4,5]=>[[1,3,4,5,6],[2]]
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[6,1,2,3,5,4]=>[[1,3,4,5],[2],[6]]
[.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[6,1,2,4,3,5]=>[[1,3,4,6],[2],[5]]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[6,1,2,5,4,3]=>[[1,3,4],[2],[5],[6]]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[6,1,2,4,5,3]=>[[1,3,4,5],[2],[6]]
[.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[6,1,3,2,4,5]=>[[1,3,5,6],[2],[4]]
[.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[6,1,3,2,5,4]=>[[1,3,5],[2,6],[4]]
[.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[6,1,4,3,2,5]=>[[1,3,6],[2],[4],[5]]
[.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[6,1,3,4,2,5]=>[[1,3,4,6],[2],[5]]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[6,1,5,3,4,2]=>[[1,3,5],[2],[4],[6]]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[6,1,5,4,3,2]=>[[1,3],[2],[4],[5],[6]]
[.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[6,1,3,5,4,2]=>[[1,3,4],[2],[5],[6]]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[6,1,4,3,5,2]=>[[1,3,5],[2],[4],[6]]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[6,1,3,4,5,2]=>[[1,3,4,5],[2],[6]]
[.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[6,2,1,3,4,5]=>[[1,4,5,6],[2],[3]]
[.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[6,2,1,3,5,4]=>[[1,4,5],[2,6],[3]]
[.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[6,2,1,4,3,5]=>[[1,4,6],[2,5],[3]]
[.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[6,2,1,5,4,3]=>[[1,4],[2,5],[3],[6]]
[.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[6,2,1,4,5,3]=>[[1,4,5],[2,6],[3]]
[.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[6,3,2,1,4,5]=>[[1,5,6],[2],[3],[4]]
[.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[6,3,2,1,5,4]=>[[1,5],[2,6],[3],[4]]
[.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[6,2,3,1,4,5]=>[[1,3,5,6],[2],[4]]
[.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[6,2,3,1,5,4]=>[[1,3,5],[2,6],[4]]
[.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[6,4,2,3,1,5]=>[[1,4,6],[2],[3],[5]]
[.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[6,4,3,2,1,5]=>[[1,6],[2],[3],[4],[5]]
[.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[6,2,4,3,1,5]=>[[1,3,6],[2],[4],[5]]
[.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[6,3,2,4,1,5]=>[[1,4,6],[2],[3],[5]]
[.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[6,2,3,4,1,5]=>[[1,3,4,6],[2],[5]]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[6,5,2,3,4,1]=>[[1,4,5],[2],[3],[6]]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[6,5,2,4,3,1]=>[[1,4],[2],[3],[5],[6]]
[.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[6,5,3,2,4,1]=>[[1,5],[2],[3],[4],[6]]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]
[.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[6,2,5,3,4,1]=>[[1,3,5],[2],[4],[6]]
[.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]
[.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]
[.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[6,4,2,3,5,1]=>[[1,4,5],[2],[3],[6]]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]
[.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]
[[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[1,6,2,3,4,5]=>[[1,2,4,5,6],[3]]
[[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[1,6,2,3,5,4]=>[[1,2,4,5],[3],[6]]
[[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[1,6,2,4,3,5]=>[[1,2,4,6],[3],[5]]
[[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[1,6,2,5,4,3]=>[[1,2,4],[3],[5],[6]]
[[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[1,6,2,4,5,3]=>[[1,2,4,5],[3],[6]]
[[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[1,6,3,2,4,5]=>[[1,2,5,6],[3],[4]]
[[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[1,6,3,2,5,4]=>[[1,2,5],[3,6],[4]]
[[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[1,6,4,3,2,5]=>[[1,2,6],[3],[4],[5]]
[[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[1,6,3,4,2,5]=>[[1,2,4,6],[3],[5]]
[[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[1,6,5,3,4,2]=>[[1,2,5],[3],[4],[6]]
[[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]
[[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]
[[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]
[[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]
[[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[2,1,6,3,4,5]=>[[1,3,5,6],[2,4]]
[[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[2,1,6,3,5,4]=>[[1,3,5],[2,4],[6]]
[[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[2,1,6,4,3,5]=>[[1,3,6],[2,4],[5]]
[[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]
[[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]
[[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[1,2,6,3,4,5]=>[[1,2,3,5,6],[4]]
[[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[1,2,6,3,5,4]=>[[1,2,3,5],[4],[6]]
[[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[1,2,6,4,3,5]=>[[1,2,3,6],[4],[5]]
[[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]
[[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]
[[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[3,1,2,6,4,5]=>[[1,3,4,6],[2,5]]
[[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[3,1,2,6,5,4]=>[[1,3,4],[2,5],[6]]
[[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[3,2,1,6,4,5]=>[[1,4,6],[2,5],[3]]
[[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]
[[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[1,3,2,6,4,5]=>[[1,2,4,6],[3,5]]
[[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]
[[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[2,1,3,6,4,5]=>[[1,3,4,6],[2,5]]
[[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]
[[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[1,2,3,6,4,5]=>[[1,2,3,4,6],[5]]
[[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]
[[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[4,1,2,3,6,5]=>[[1,3,4,5],[2,6]]
[[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[4,1,3,2,6,5]=>[[1,3,5],[2,6],[4]]
[[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[4,2,1,3,6,5]=>[[1,4,5],[2,6],[3]]
[[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]
[[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]
[[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[1,4,2,3,6,5]=>[[1,2,4,5],[3,6]]
[[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]
[[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]
[[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]
[[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[3,1,2,4,6,5]=>[[1,3,4,5],[2,6]]
[[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]
[[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]
[[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]
[[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,1,2,3,4,6]=>[[1,3,4,5,6],[2]]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[5,1,2,4,3,6]=>[[1,3,4,6],[2],[5]]
[[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[5,1,3,2,4,6]=>[[1,3,5,6],[2],[4]]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[5,1,4,3,2,6]=>[[1,3,6],[2],[4],[5]]
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[5,1,3,4,2,6]=>[[1,3,4,6],[2],[5]]
[[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[5,2,1,3,4,6]=>[[1,4,5,6],[2],[3]]
[[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[5,2,1,4,3,6]=>[[1,4,6],[2,5],[3]]
[[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[5,3,2,1,4,6]=>[[1,5,6],[2],[3],[4]]
[[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[5,2,3,1,4,6]=>[[1,3,5,6],[2],[4]]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[5,4,2,3,1,6]=>[[1,4,6],[2],[3],[5]]
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]
[[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]
[[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[1,5,2,3,4,6]=>[[1,2,4,5,6],[3]]
[[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[1,5,2,4,3,6]=>[[1,2,4,6],[3],[5]]
[[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[1,5,3,2,4,6]=>[[1,2,5,6],[3],[4]]
[[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]
[[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]
[[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[2,1,5,3,4,6]=>[[1,3,5,6],[2,4]]
[[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]
[[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[1,2,5,3,4,6]=>[[1,2,3,5,6],[4]]
[[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]
[[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[3,1,2,5,4,6]=>[[1,3,4,6],[2,5]]
[[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]
[[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]
[[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]
[[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,1,2,3,5,6]=>[[1,3,4,5,6],[2]]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[4,1,3,2,5,6]=>[[1,3,5,6],[2],[4]]
[[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[4,2,1,3,5,6]=>[[1,4,5,6],[2],[3]]
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]
[[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[1,4,2,3,5,6]=>[[1,2,4,5,6],[3]]
[[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]
[[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]
[[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]=>[[1,3,4,5,6],[2]]
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]
[[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[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]]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[7,1,2,3,4,5,6]=>[[1,3,4,5,6,7],[2]]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[7,1,2,3,4,6,5]=>[[1,3,4,5,6],[2],[7]]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[7,1,2,3,5,4,6]=>[[1,3,4,5,7],[2],[6]]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[7,1,2,3,6,5,4]=>[[1,3,4,5],[2],[6],[7]]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[7,1,2,3,5,6,4]=>[[1,3,4,5,6],[2],[7]]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[7,1,2,4,3,5,6]=>[[1,3,4,6,7],[2],[5]]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[7,1,2,4,3,6,5]=>[[1,3,4,6],[2,7],[5]]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[7,1,2,5,4,3,6]=>[[1,3,4,7],[2],[5],[6]]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[7,1,2,4,5,3,6]=>[[1,3,4,5,7],[2],[6]]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[7,1,2,6,4,5,3]=>[[1,3,4,6],[2],[5],[7]]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[7,1,2,6,5,4,3]=>[[1,3,4],[2],[5],[6],[7]]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[7,1,2,4,6,5,3]=>[[1,3,4,5],[2],[6],[7]]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[7,1,2,5,4,6,3]=>[[1,3,4,6],[2],[5],[7]]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[7,1,2,4,5,6,3]=>[[1,3,4,5,6],[2],[7]]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[7,1,3,2,4,5,6]=>[[1,3,5,6,7],[2],[4]]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[7,1,3,2,4,6,5]=>[[1,3,5,6],[2,7],[4]]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[7,1,3,2,5,4,6]=>[[1,3,5,7],[2,6],[4]]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[7,1,3,2,6,5,4]=>[[1,3,5],[2,6],[4],[7]]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[7,1,3,2,5,6,4]=>[[1,3,5,6],[2,7],[4]]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[7,1,4,3,2,5,6]=>[[1,3,6,7],[2],[4],[5]]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[7,1,4,3,2,6,5]=>[[1,3,6],[2,7],[4],[5]]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[7,1,3,4,2,5,6]=>[[1,3,4,6,7],[2],[5]]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[7,1,3,4,2,6,5]=>[[1,3,4,6],[2,7],[5]]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[7,1,5,3,4,2,6]=>[[1,3,5,7],[2],[4],[6]]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[7,1,5,4,3,2,6]=>[[1,3,7],[2],[4],[5],[6]]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[7,1,3,5,4,2,6]=>[[1,3,4,7],[2],[5],[6]]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[7,1,4,3,5,2,6]=>[[1,3,5,7],[2],[4],[6]]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[7,1,3,4,5,2,6]=>[[1,3,4,5,7],[2],[6]]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[7,1,6,3,4,5,2]=>[[1,3,5,6],[2],[4],[7]]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[7,1,6,3,5,4,2]=>[[1,3,5],[2],[4],[6],[7]]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[7,1,6,4,3,5,2]=>[[1,3,6],[2],[4],[5],[7]]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[7,1,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7]]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[7,1,6,4,5,3,2]=>[[1,3,5],[2],[4],[6],[7]]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[7,1,3,6,4,5,2]=>[[1,3,4,6],[2],[5],[7]]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[7,1,3,6,5,4,2]=>[[1,3,4],[2],[5],[6],[7]]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[7,1,4,3,6,5,2]=>[[1,3,5],[2,6],[4],[7]]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[7,1,3,4,6,5,2]=>[[1,3,4,5],[2],[6],[7]]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[7,1,5,3,4,6,2]=>[[1,3,5,6],[2],[4],[7]]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[7,1,5,4,3,6,2]=>[[1,3,6],[2],[4],[5],[7]]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[7,1,3,5,4,6,2]=>[[1,3,4,6],[2],[5],[7]]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[7,1,4,3,5,6,2]=>[[1,3,5,6],[2],[4],[7]]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[7,1,3,4,5,6,2]=>[[1,3,4,5,6],[2],[7]]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[7,2,1,3,4,5,6]=>[[1,4,5,6,7],[2],[3]]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[7,2,1,3,4,6,5]=>[[1,4,5,6],[2,7],[3]]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[7,2,1,3,5,4,6]=>[[1,4,5,7],[2,6],[3]]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[7,2,1,3,6,5,4]=>[[1,4,5],[2,6],[3],[7]]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[7,2,1,3,5,6,4]=>[[1,4,5,6],[2,7],[3]]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[7,2,1,4,3,5,6]=>[[1,4,6,7],[2,5],[3]]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[7,2,1,4,3,6,5]=>[[1,4,6],[2,5,7],[3]]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[7,2,1,5,4,3,6]=>[[1,4,7],[2,5],[3],[6]]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[7,2,1,4,5,3,6]=>[[1,4,5,7],[2,6],[3]]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[7,2,1,6,4,5,3]=>[[1,4,6],[2,5],[3],[7]]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[7,2,1,6,5,4,3]=>[[1,4],[2,5],[3],[6],[7]]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[7,2,1,4,6,5,3]=>[[1,4,5],[2,6],[3],[7]]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[7,2,1,5,4,6,3]=>[[1,4,6],[2,5],[3],[7]]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[7,2,1,4,5,6,3]=>[[1,4,5,6],[2,7],[3]]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[7,3,2,1,4,5,6]=>[[1,5,6,7],[2],[3],[4]]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[7,3,2,1,4,6,5]=>[[1,5,6],[2,7],[3],[4]]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[7,3,2,1,5,4,6]=>[[1,5,7],[2,6],[3],[4]]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[7,3,2,1,6,5,4]=>[[1,5],[2,6],[3,7],[4]]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[7,3,2,1,5,6,4]=>[[1,5,6],[2,7],[3],[4]]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[7,2,3,1,4,5,6]=>[[1,3,5,6,7],[2],[4]]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[7,2,3,1,4,6,5]=>[[1,3,5,6],[2,7],[4]]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[7,2,3,1,5,4,6]=>[[1,3,5,7],[2,6],[4]]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[7,2,3,1,6,5,4]=>[[1,3,5],[2,6],[4],[7]]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[7,2,3,1,5,6,4]=>[[1,3,5,6],[2,7],[4]]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[7,4,2,3,1,5,6]=>[[1,4,6,7],[2],[3],[5]]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[7,4,2,3,1,6,5]=>[[1,4,6],[2,7],[3],[5]]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[7,4,3,2,1,5,6]=>[[1,6,7],[2],[3],[4],[5]]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[7,4,3,2,1,6,5]=>[[1,6],[2,7],[3],[4],[5]]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[7,2,4,3,1,5,6]=>[[1,3,6,7],[2],[4],[5]]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[7,2,4,3,1,6,5]=>[[1,3,6],[2,7],[4],[5]]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[7,3,2,4,1,5,6]=>[[1,4,6,7],[2],[3],[5]]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[7,3,2,4,1,6,5]=>[[1,4,6],[2,7],[3],[5]]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[7,2,3,4,1,5,6]=>[[1,3,4,6,7],[2],[5]]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[7,2,3,4,1,6,5]=>[[1,3,4,6],[2,7],[5]]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[7,5,2,3,4,1,6]=>[[1,4,5,7],[2],[3],[6]]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[7,5,2,4,3,1,6]=>[[1,4,7],[2],[3],[5],[6]]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[7,5,3,2,4,1,6]=>[[1,5,7],[2],[3],[4],[6]]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[7,5,4,3,2,1,6]=>[[1,7],[2],[3],[4],[5],[6]]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[7,5,3,4,2,1,6]=>[[1,4,7],[2],[3],[5],[6]]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[7,2,5,3,4,1,6]=>[[1,3,5,7],[2],[4],[6]]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[7,2,5,4,3,1,6]=>[[1,3,7],[2],[4],[5],[6]]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[7,3,2,5,4,1,6]=>[[1,4,7],[2,5],[3],[6]]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[7,2,3,5,4,1,6]=>[[1,3,4,7],[2],[5],[6]]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[7,4,2,3,5,1,6]=>[[1,4,5,7],[2],[3],[6]]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[7,4,3,2,5,1,6]=>[[1,5,7],[2],[3],[4],[6]]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[7,2,4,3,5,1,6]=>[[1,3,5,7],[2],[4],[6]]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[7,3,2,4,5,1,6]=>[[1,4,5,7],[2],[3],[6]]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[7,2,3,4,5,1,6]=>[[1,3,4,5,7],[2],[6]]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[7,6,2,3,4,5,1]=>[[1,4,5,6],[2],[3],[7]]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[7,6,2,3,5,4,1]=>[[1,4,5],[2],[3],[6],[7]]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[7,6,2,4,3,5,1]=>[[1,4,6],[2],[3],[5],[7]]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[7,6,2,5,4,3,1]=>[[1,4],[2],[3],[5],[6],[7]]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[7,6,2,4,5,3,1]=>[[1,4,5],[2],[3],[6],[7]]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[7,6,3,2,4,5,1]=>[[1,5,6],[2],[3],[4],[7]]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[7,6,3,2,5,4,1]=>[[1,5],[2,6],[3],[4],[7]]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[7,6,4,3,2,5,1]=>[[1,6],[2],[3],[4],[5],[7]]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[7,6,3,4,2,5,1]=>[[1,4,6],[2],[3],[5],[7]]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[7,6,5,3,4,2,1]=>[[1,5],[2],[3],[4],[6],[7]]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7]]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[7,2,6,3,4,5,1]=>[[1,3,5,6],[2],[4],[7]]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[7,2,6,3,5,4,1]=>[[1,3,5],[2],[4],[6],[7]]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[7,2,6,4,3,5,1]=>[[1,3,6],[2],[4],[5],[7]]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[7,3,2,6,4,5,1]=>[[1,4,6],[2,5],[3],[7]]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[7,2,3,6,4,5,1]=>[[1,3,4,6],[2],[5],[7]]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[7,4,2,3,6,5,1]=>[[1,4,5],[2,6],[3],[7]]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4],[7]]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[7,2,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[7,3,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[7,2,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[7,5,2,3,4,6,1]=>[[1,4,5,6],[2],[3],[7]]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[7,5,2,4,3,6,1]=>[[1,4,6],[2],[3],[5],[7]]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[7,5,3,2,4,6,1]=>[[1,5,6],[2],[3],[4],[7]]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5],[7]]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[7,2,5,3,4,6,1]=>[[1,3,5,6],[2],[4],[7]]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[7,3,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[7,2,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[7,4,2,3,5,6,1]=>[[1,4,5,6],[2],[3],[7]]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7]]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[7,2,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1]=>[[1,4,5,6],[2],[3],[7]]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[[1,2,4,5,6,7],[3]]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[1,7,2,3,4,6,5]=>[[1,2,4,5,6],[3],[7]]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[1,7,2,3,5,4,6]=>[[1,2,4,5,7],[3],[6]]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[1,7,2,3,6,5,4]=>[[1,2,4,5],[3],[6],[7]]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[1,7,2,3,5,6,4]=>[[1,2,4,5,6],[3],[7]]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[1,7,2,4,3,5,6]=>[[1,2,4,6,7],[3],[5]]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[1,7,2,4,3,6,5]=>[[1,2,4,6],[3,7],[5]]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[1,7,2,5,4,3,6]=>[[1,2,4,7],[3],[5],[6]]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[1,7,2,4,5,3,6]=>[[1,2,4,5,7],[3],[6]]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[1,7,2,6,4,5,3]=>[[1,2,4,6],[3],[5],[7]]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[1,7,2,6,5,4,3]=>[[1,2,4],[3],[5],[6],[7]]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[1,7,2,4,6,5,3]=>[[1,2,4,5],[3],[6],[7]]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[1,7,2,5,4,6,3]=>[[1,2,4,6],[3],[5],[7]]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[1,7,2,4,5,6,3]=>[[1,2,4,5,6],[3],[7]]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[1,7,3,2,4,5,6]=>[[1,2,5,6,7],[3],[4]]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[1,7,3,2,4,6,5]=>[[1,2,5,6],[3,7],[4]]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[1,7,3,2,5,4,6]=>[[1,2,5,7],[3,6],[4]]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[1,7,3,2,6,5,4]=>[[1,2,5],[3,6],[4],[7]]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[1,7,3,2,5,6,4]=>[[1,2,5,6],[3,7],[4]]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[1,7,4,3,2,5,6]=>[[1,2,6,7],[3],[4],[5]]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[1,7,4,3,2,6,5]=>[[1,2,6],[3,7],[4],[5]]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[1,7,3,4,2,5,6]=>[[1,2,4,6,7],[3],[5]]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[1,7,3,4,2,6,5]=>[[1,2,4,6],[3,7],[5]]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[1,7,5,3,4,2,6]=>[[1,2,5,7],[3],[4],[6]]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[1,7,5,4,3,2,6]=>[[1,2,7],[3],[4],[5],[6]]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[1,7,3,5,4,2,6]=>[[1,2,4,7],[3],[5],[6]]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[1,7,4,3,5,2,6]=>[[1,2,5,7],[3],[4],[6]]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[1,7,3,4,5,2,6]=>[[1,2,4,5,7],[3],[6]]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[1,7,6,3,4,5,2]=>[[1,2,5,6],[3],[4],[7]]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[1,7,6,3,5,4,2]=>[[1,2,5],[3],[4],[6],[7]]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[1,7,6,4,3,5,2]=>[[1,2,6],[3],[4],[5],[7]]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[1,7,3,6,4,5,2]=>[[1,2,4,6],[3],[5],[7]]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[1,7,5,3,4,6,2]=>[[1,2,5,6],[3],[4],[7]]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]
[[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[2,1,7,3,4,5,6]=>[[1,3,5,6,7],[2,4]]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[2,1,7,3,4,6,5]=>[[1,3,5,6],[2,4],[7]]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[2,1,7,3,5,4,6]=>[[1,3,5,7],[2,4],[6]]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[2,1,7,3,6,5,4]=>[[1,3,5],[2,4],[6],[7]]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[2,1,7,3,5,6,4]=>[[1,3,5,6],[2,4],[7]]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[2,1,7,4,3,5,6]=>[[1,3,6,7],[2,4],[5]]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[2,1,7,4,3,6,5]=>[[1,3,6],[2,4,7],[5]]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[2,1,7,5,4,3,6]=>[[1,3,7],[2,4],[5],[6]]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[2,1,7,4,5,3,6]=>[[1,3,5,7],[2,4],[6]]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[2,1,7,6,4,5,3]=>[[1,3,6],[2,4],[5],[7]]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[2,1,7,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[2,1,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6]=>[[1,2,3,5,6,7],[4]]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[1,2,7,3,4,6,5]=>[[1,2,3,5,6],[4],[7]]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[1,2,7,3,5,4,6]=>[[1,2,3,5,7],[4],[6]]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[1,2,7,3,6,5,4]=>[[1,2,3,5],[4],[6],[7]]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[1,2,7,3,5,6,4]=>[[1,2,3,5,6],[4],[7]]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[1,2,7,4,3,5,6]=>[[1,2,3,6,7],[4],[5]]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[1,2,7,4,3,6,5]=>[[1,2,3,6],[4,7],[5]]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[1,2,7,5,4,3,6]=>[[1,2,3,7],[4],[5],[6]]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[1,2,7,4,5,3,6]=>[[1,2,3,5,7],[4],[6]]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[1,2,7,6,4,5,3]=>[[1,2,3,6],[4],[5],[7]]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]
[[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[3,1,2,7,4,5,6]=>[[1,3,4,6,7],[2,5]]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[3,1,2,7,4,6,5]=>[[1,3,4,6],[2,5],[7]]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[3,1,2,7,5,4,6]=>[[1,3,4,7],[2,5],[6]]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[3,1,2,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[3,1,2,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[3,2,1,7,4,5,6]=>[[1,4,6,7],[2,5],[3]]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[3,2,1,7,4,6,5]=>[[1,4,6],[2,5],[3,7]]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[3,2,1,7,5,4,6]=>[[1,4,7],[2,5],[3,6]]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6]=>[[1,2,4,6,7],[3,5]]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[1,3,2,7,4,6,5]=>[[1,2,4,6],[3,5],[7]]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[1,3,2,7,5,4,6]=>[[1,2,4,7],[3,5],[6]]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[2,1,3,7,4,5,6]=>[[1,3,4,6,7],[2,5]]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[2,1,3,7,4,6,5]=>[[1,3,4,6],[2,5],[7]]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[2,1,3,7,5,4,6]=>[[1,3,4,7],[2,5],[6]]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[2,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6]=>[[1,2,3,4,6,7],[5]]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[1,2,3,7,4,6,5]=>[[1,2,3,4,6],[5],[7]]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[1,2,3,7,5,4,6]=>[[1,2,3,4,7],[5],[6]]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]
[[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[4,1,2,3,7,5,6]=>[[1,3,4,5,7],[2,6]]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[4,1,2,3,7,6,5]=>[[1,3,4,5],[2,6],[7]]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[4,1,3,2,7,5,6]=>[[1,3,5,7],[2,6],[4]]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[4,1,3,2,7,6,5]=>[[1,3,5],[2,6],[4,7]]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[4,2,1,3,7,5,6]=>[[1,4,5,7],[2,6],[3]]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[4,2,1,3,7,6,5]=>[[1,4,5],[2,6],[3,7]]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[4,3,2,1,7,5,6]=>[[1,5,7],[2,6],[3],[4]]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[4,2,3,1,7,5,6]=>[[1,3,5,7],[2,6],[4]]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6]=>[[1,2,4,5,7],[3,6]]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[1,4,2,3,7,6,5]=>[[1,2,4,5],[3,6],[7]]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[1,4,3,2,7,5,6]=>[[1,2,5,7],[3,6],[4]]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,5,6]=>[[1,3,5,7],[2,4,6]]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6]=>[[1,2,3,5,7],[4,6]]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[3,1,2,4,7,5,6]=>[[1,3,4,5,7],[2,6]]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[3,1,2,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[3,2,1,4,7,5,6]=>[[1,4,5,7],[2,6],[3]]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6]=>[[1,2,4,5,7],[3,6]]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,5,6]=>[[1,3,4,5,7],[2,6]]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6]=>[[1,2,3,4,5,7],[6]]
[[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[5,1,2,3,4,7,6]=>[[1,3,4,5,6],[2,7]]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[5,1,2,4,3,7,6]=>[[1,3,4,6],[2,7],[5]]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[5,1,3,2,4,7,6]=>[[1,3,5,6],[2,7],[4]]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[5,1,4,3,2,7,6]=>[[1,3,6],[2,7],[4],[5]]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[5,1,3,4,2,7,6]=>[[1,3,4,6],[2,7],[5]]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[5,2,1,3,4,7,6]=>[[1,4,5,6],[2,7],[3]]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[5,2,1,4,3,7,6]=>[[1,4,6],[2,5,7],[3]]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[5,3,2,1,4,7,6]=>[[1,5,6],[2,7],[3],[4]]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[5,2,3,1,4,7,6]=>[[1,3,5,6],[2,7],[4]]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[5,4,2,3,1,7,6]=>[[1,4,6],[2,7],[3],[5]]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6]=>[[1,4,6],[2,7],[3],[5]]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[1,5,2,3,4,7,6]=>[[1,2,4,5,6],[3,7]]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[1,5,2,4,3,7,6]=>[[1,2,4,6],[3,7],[5]]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[1,5,3,2,4,7,6]=>[[1,2,5,6],[3,7],[4]]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[2,1,5,3,4,7,6]=>[[1,3,5,6],[2,4,7]]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6]=>[[1,2,3,5,6],[4,7]]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[3,1,2,5,4,7,6]=>[[1,3,4,6],[2,5,7]]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7]]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7]]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[4,1,2,3,5,7,6]=>[[1,3,4,5,6],[2,7]]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[4,1,3,2,5,7,6]=>[[1,3,5,6],[2,7],[4]]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[4,2,1,3,5,7,6]=>[[1,4,5,6],[2,7],[3]]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[1,4,2,3,5,7,6]=>[[1,2,4,5,6],[3,7]]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7]]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[[1,2,3,5,6],[4,7]]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[3,1,2,4,5,7,6]=>[[1,3,4,5,6],[2,7]]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7]]
[[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,1,2,3,4,5,7]=>[[1,3,4,5,6,7],[2]]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[6,1,2,3,5,4,7]=>[[1,3,4,5,7],[2],[6]]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[6,1,2,4,3,5,7]=>[[1,3,4,6,7],[2],[5]]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[6,1,2,5,4,3,7]=>[[1,3,4,7],[2],[5],[6]]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[6,1,2,4,5,3,7]=>[[1,3,4,5,7],[2],[6]]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[6,1,3,2,4,5,7]=>[[1,3,5,6,7],[2],[4]]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[6,1,3,2,5,4,7]=>[[1,3,5,7],[2,6],[4]]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[6,1,4,3,2,5,7]=>[[1,3,6,7],[2],[4],[5]]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[6,1,3,4,2,5,7]=>[[1,3,4,6,7],[2],[5]]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[6,1,5,3,4,2,7]=>[[1,3,5,7],[2],[4],[6]]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[6,1,5,4,3,2,7]=>[[1,3,7],[2],[4],[5],[6]]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[6,1,3,5,4,2,7]=>[[1,3,4,7],[2],[5],[6]]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[6,1,4,3,5,2,7]=>[[1,3,5,7],[2],[4],[6]]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[6,1,3,4,5,2,7]=>[[1,3,4,5,7],[2],[6]]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[6,2,1,3,4,5,7]=>[[1,4,5,6,7],[2],[3]]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[6,2,1,3,5,4,7]=>[[1,4,5,7],[2,6],[3]]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[6,2,1,4,3,5,7]=>[[1,4,6,7],[2,5],[3]]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[6,2,1,5,4,3,7]=>[[1,4,7],[2,5],[3],[6]]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[6,2,1,4,5,3,7]=>[[1,4,5,7],[2,6],[3]]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[6,3,2,1,4,5,7]=>[[1,5,6,7],[2],[3],[4]]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[6,3,2,1,5,4,7]=>[[1,5,7],[2,6],[3],[4]]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[6,2,3,1,4,5,7]=>[[1,3,5,6,7],[2],[4]]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[6,2,3,1,5,4,7]=>[[1,3,5,7],[2,6],[4]]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[6,4,2,3,1,5,7]=>[[1,4,6,7],[2],[3],[5]]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[6,4,3,2,1,5,7]=>[[1,6,7],[2],[3],[4],[5]]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[6,2,4,3,1,5,7]=>[[1,3,6,7],[2],[4],[5]]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[6,3,2,4,1,5,7]=>[[1,4,6,7],[2],[3],[5]]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[6,2,3,4,1,5,7]=>[[1,3,4,6,7],[2],[5]]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[6,5,2,3,4,1,7]=>[[1,4,5,7],[2],[3],[6]]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[6,5,2,4,3,1,7]=>[[1,4,7],[2],[3],[5],[6]]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[6,5,3,2,4,1,7]=>[[1,5,7],[2],[3],[4],[6]]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[6,2,5,3,4,1,7]=>[[1,3,5,7],[2],[4],[6]]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[6,4,2,3,5,1,7]=>[[1,4,5,7],[2],[3],[6]]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]=>[[1,5,7],[2],[3],[4],[6]]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]=>[[1,4,5,7],[2],[3],[6]]
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[1,6,2,3,4,5,7]=>[[1,2,4,5,6,7],[3]]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[1,6,2,3,5,4,7]=>[[1,2,4,5,7],[3],[6]]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[1,6,2,4,3,5,7]=>[[1,2,4,6,7],[3],[5]]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[1,6,2,5,4,3,7]=>[[1,2,4,7],[3],[5],[6]]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[1,6,2,4,5,3,7]=>[[1,2,4,5,7],[3],[6]]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[1,6,3,2,4,5,7]=>[[1,2,5,6,7],[3],[4]]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[1,6,3,2,5,4,7]=>[[1,2,5,7],[3,6],[4]]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[1,6,4,3,2,5,7]=>[[1,2,6,7],[3],[4],[5]]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[1,6,3,4,2,5,7]=>[[1,2,4,6,7],[3],[5]]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[1,6,5,3,4,2,7]=>[[1,2,5,7],[3],[4],[6]]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]
[[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[2,1,6,3,4,5,7]=>[[1,3,5,6,7],[2,4]]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[2,1,6,3,5,4,7]=>[[1,3,5,7],[2,4],[6]]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[2,1,6,4,3,5,7]=>[[1,3,6,7],[2,4],[5]]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[2,1,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[1,2,6,3,4,5,7]=>[[1,2,3,5,6,7],[4]]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[1,2,6,3,5,4,7]=>[[1,2,3,5,7],[4],[6]]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[1,2,6,4,3,5,7]=>[[1,2,3,6,7],[4],[5]]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]
[[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[3,1,2,6,4,5,7]=>[[1,3,4,6,7],[2,5]]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[3,1,2,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[3,2,1,6,4,5,7]=>[[1,4,6,7],[2,5],[3]]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6]]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[1,3,2,6,4,5,7]=>[[1,2,4,6,7],[3,5]]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[2,1,3,6,4,5,7]=>[[1,3,4,6,7],[2,5]]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[1,2,3,6,4,5,7]=>[[1,2,3,4,6,7],[5]]
[[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6]]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[4,1,2,3,6,5,7]=>[[1,3,4,5,7],[2,6]]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[4,1,3,2,6,5,7]=>[[1,3,5,7],[2,6],[4]]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[4,2,1,3,6,5,7]=>[[1,4,5,7],[2,6],[3]]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[1,4,2,3,6,5,7]=>[[1,2,4,5,7],[3,6]]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[3,1,2,4,6,5,7]=>[[1,3,4,5,7],[2,6]]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3]]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6]]
[[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6]]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,1,2,3,4,6,7]=>[[1,3,4,5,6,7],[2]]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[5,1,2,4,3,6,7]=>[[1,3,4,6,7],[2],[5]]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[5,1,3,2,4,6,7]=>[[1,3,5,6,7],[2],[4]]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[5,1,4,3,2,6,7]=>[[1,3,6,7],[2],[4],[5]]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[5,1,3,4,2,6,7]=>[[1,3,4,6,7],[2],[5]]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[5,2,1,3,4,6,7]=>[[1,4,5,6,7],[2],[3]]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[5,2,1,4,3,6,7]=>[[1,4,6,7],[2,5],[3]]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[5,3,2,1,4,6,7]=>[[1,5,6,7],[2],[3],[4]]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[5,2,3,1,4,6,7]=>[[1,3,5,6,7],[2],[4]]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[5,4,2,3,1,6,7]=>[[1,4,6,7],[2],[3],[5]]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]=>[[1,4,6,7],[2],[3],[5]]
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[1,5,2,3,4,6,7]=>[[1,2,4,5,6,7],[3]]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[1,5,2,4,3,6,7]=>[[1,2,4,6,7],[3],[5]]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[1,5,3,2,4,6,7]=>[[1,2,5,6,7],[3],[4]]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]
[[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[2,1,5,3,4,6,7]=>[[1,3,5,6,7],[2,4]]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[1,2,5,3,4,6,7]=>[[1,2,3,5,6,7],[4]]
[[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[3,1,2,5,4,6,7]=>[[1,3,4,6,7],[2,5]]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3]]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[[1,3,4,6,7],[2,5]]
[[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5]]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,1,2,3,5,6,7]=>[[1,3,4,5,6,7],[2]]
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[4,1,3,2,5,6,7]=>[[1,3,5,6,7],[2],[4]]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[4,2,1,3,5,6,7]=>[[1,4,5,6,7],[2],[3]]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[1,4,2,3,5,6,7]=>[[1,2,4,5,6,7],[3]]
[[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[[1,3,5,6,7],[2,4]]
[[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4]]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[1,3,4,5,6,7],[2]]
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]
[[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]
[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]
[[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[8,1,2,3,4,5,6,7]=>[[1,3,4,5,6,7,8],[2]]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[8,1,2,3,4,5,7,6]=>[[1,3,4,5,6,7],[2],[8]]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[6,8,7,5,4,3,2,1]=>[8,1,2,3,4,6,5,7]=>[[1,3,4,5,6,8],[2],[7]]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[8,1,2,3,4,7,6,5]=>[[1,3,4,5,6],[2],[7],[8]]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[8,1,2,3,4,6,7,5]=>[[1,3,4,5,6,7],[2],[8]]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[5,8,7,6,4,3,2,1]=>[8,1,2,3,5,4,6,7]=>[[1,3,4,5,7,8],[2],[6]]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[5,7,8,6,4,3,2,1]=>[8,1,2,3,5,4,7,6]=>[[1,3,4,5,7],[2,8],[6]]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[6,5,8,7,4,3,2,1]=>[8,1,2,3,6,5,4,7]=>[[1,3,4,5,8],[2],[6],[7]]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[5,6,8,7,4,3,2,1]=>[8,1,2,3,5,6,4,7]=>[[1,3,4,5,6,8],[2],[7]]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[8,1,2,3,7,5,6,4]=>[[1,3,4,5,7],[2],[6],[8]]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[8,1,2,3,7,6,5,4]=>[[1,3,4,5],[2],[6],[7],[8]]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[5,7,6,8,4,3,2,1]=>[8,1,2,3,5,7,6,4]=>[[1,3,4,5,6],[2],[7],[8]]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[8,1,2,3,6,5,7,4]=>[[1,3,4,5,7],[2],[6],[8]]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[8,1,2,3,5,6,7,4]=>[[1,3,4,5,6,7],[2],[8]]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[4,8,7,6,5,3,2,1]=>[8,1,2,4,3,5,6,7]=>[[1,3,4,6,7,8],[2],[5]]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[4,7,8,6,5,3,2,1]=>[8,1,2,4,3,5,7,6]=>[[1,3,4,6,7],[2,8],[5]]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[4,6,8,7,5,3,2,1]=>[8,1,2,4,3,6,5,7]=>[[1,3,4,6,8],[2,7],[5]]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[4,7,6,8,5,3,2,1]=>[8,1,2,4,3,7,6,5]=>[[1,3,4,6],[2,7],[5],[8]]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[5,4,8,7,6,3,2,1]=>[8,1,2,5,4,3,6,7]=>[[1,3,4,7,8],[2],[5],[6]]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[4,5,8,7,6,3,2,1]=>[8,1,2,4,5,3,6,7]=>[[1,3,4,5,7,8],[2],[6]]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[4,5,7,8,6,3,2,1]=>[8,1,2,4,5,3,7,6]=>[[1,3,4,5,7],[2,8],[6]]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[6,5,4,8,7,3,2,1]=>[8,1,2,6,4,5,3,7]=>[[1,3,4,6,8],[2],[5],[7]]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[5,6,4,8,7,3,2,1]=>[8,1,2,6,5,4,3,7]=>[[1,3,4,8],[2],[5],[6],[7]]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[4,6,5,8,7,3,2,1]=>[8,1,2,4,6,5,3,7]=>[[1,3,4,5,8],[2],[6],[7]]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[5,4,6,8,7,3,2,1]=>[8,1,2,5,4,6,3,7]=>[[1,3,4,6,8],[2],[5],[7]]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[4,5,6,8,7,3,2,1]=>[8,1,2,4,5,6,3,7]=>[[1,3,4,5,6,8],[2],[7]]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[8,1,2,7,4,5,6,3]=>[[1,3,4,6,7],[2],[5],[8]]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[8,1,2,7,4,6,5,3]=>[[1,3,4,6],[2],[5],[7],[8]]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[8,1,2,7,6,5,4,3]=>[[1,3,4],[2],[5],[6],[7],[8]]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[4,7,6,5,8,3,2,1]=>[8,1,2,4,7,5,6,3]=>[[1,3,4,5,7],[2],[6],[8]]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[4,6,7,5,8,3,2,1]=>[8,1,2,4,7,6,5,3]=>[[1,3,4,5],[2],[6],[7],[8]]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[8,1,2,6,4,5,7,3]=>[[1,3,4,6,7],[2],[5],[8]]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[4,6,5,7,8,3,2,1]=>[8,1,2,4,6,5,7,3]=>[[1,3,4,5,7],[2],[6],[8]]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[8,1,2,4,5,6,7,3]=>[[1,3,4,5,6,7],[2],[8]]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[3,8,7,6,5,4,2,1]=>[8,1,3,2,4,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[3,7,8,6,5,4,2,1]=>[8,1,3,2,4,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[3,6,8,7,5,4,2,1]=>[8,1,3,2,4,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[3,7,6,8,5,4,2,1]=>[8,1,3,2,4,7,6,5]=>[[1,3,5,6],[2,7],[4],[8]]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[3,6,7,8,5,4,2,1]=>[8,1,3,2,4,6,7,5]=>[[1,3,5,6,7],[2,8],[4]]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[3,5,8,7,6,4,2,1]=>[8,1,3,2,5,4,6,7]=>[[1,3,5,7,8],[2,6],[4]]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[3,5,7,8,6,4,2,1]=>[8,1,3,2,5,4,7,6]=>[[1,3,5,7],[2,6,8],[4]]
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[3,6,5,8,7,4,2,1]=>[8,1,3,2,6,5,4,7]=>[[1,3,5,8],[2,6],[4],[7]]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[3,5,6,8,7,4,2,1]=>[8,1,3,2,5,6,4,7]=>[[1,3,5,6,8],[2,7],[4]]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[3,7,6,5,8,4,2,1]=>[8,1,3,2,7,5,6,4]=>[[1,3,5,7],[2,6],[4],[8]]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[3,6,7,5,8,4,2,1]=>[8,1,3,2,7,6,5,4]=>[[1,3,5],[2,6],[4],[7],[8]]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>[3,6,5,7,8,4,2,1]=>[8,1,3,2,6,5,7,4]=>[[1,3,5,7],[2,6],[4],[8]]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[8,1,3,2,5,6,7,4]=>[[1,3,5,6,7],[2,8],[4]]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[4,3,8,7,6,5,2,1]=>[8,1,4,3,2,5,6,7]=>[[1,3,6,7,8],[2],[4],[5]]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[4,3,7,8,6,5,2,1]=>[8,1,4,3,2,5,7,6]=>[[1,3,6,7],[2,8],[4],[5]]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[4,3,6,8,7,5,2,1]=>[8,1,4,3,2,6,5,7]=>[[1,3,6,8],[2,7],[4],[5]]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[4,3,7,6,8,5,2,1]=>[8,1,4,3,2,7,6,5]=>[[1,3,6],[2,7],[4,8],[5]]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[4,3,6,7,8,5,2,1]=>[8,1,4,3,2,6,7,5]=>[[1,3,6,7],[2,8],[4],[5]]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[3,4,6,8,7,5,2,1]=>[8,1,3,4,2,6,5,7]=>[[1,3,4,6,8],[2,7],[5]]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[3,4,7,6,8,5,2,1]=>[8,1,3,4,2,7,6,5]=>[[1,3,4,6],[2,7],[5],[8]]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[3,4,6,7,8,5,2,1]=>[8,1,3,4,2,6,7,5]=>[[1,3,4,6,7],[2,8],[5]]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[5,4,3,8,7,6,2,1]=>[8,1,5,3,4,2,6,7]=>[[1,3,5,7,8],[2],[4],[6]]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[5,4,3,7,8,6,2,1]=>[8,1,5,3,4,2,7,6]=>[[1,3,5,7],[2,8],[4],[6]]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>[4,5,3,8,7,6,2,1]=>[8,1,5,4,3,2,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>[4,5,3,7,8,6,2,1]=>[8,1,5,4,3,2,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[3,5,4,8,7,6,2,1]=>[8,1,3,5,4,2,6,7]=>[[1,3,4,7,8],[2],[5],[6]]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[4,3,5,8,7,6,2,1]=>[8,1,4,3,5,2,6,7]=>[[1,3,5,7,8],[2],[4],[6]]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[4,3,5,7,8,6,2,1]=>[8,1,4,3,5,2,7,6]=>[[1,3,5,7],[2,8],[4],[6]]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[3,4,5,8,7,6,2,1]=>[8,1,3,4,5,2,6,7]=>[[1,3,4,5,7,8],[2],[6]]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[6,5,4,3,8,7,2,1]=>[8,1,6,3,4,5,2,7]=>[[1,3,5,6,8],[2],[4],[7]]
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[4,6,5,3,8,7,2,1]=>[8,1,6,4,3,5,2,7]=>[[1,3,6,8],[2],[4],[5],[7]]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[5,4,6,3,8,7,2,1]=>[8,1,6,5,4,3,2,7]=>[[1,3,8],[2],[4],[5],[6],[7]]
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>[4,5,6,3,8,7,2,1]=>[8,1,6,4,5,3,2,7]=>[[1,3,5,8],[2],[4],[6],[7]]
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>[3,6,5,4,8,7,2,1]=>[8,1,3,6,4,5,2,7]=>[[1,3,4,6,8],[2],[5],[7]]
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>[3,5,6,4,8,7,2,1]=>[8,1,3,6,5,4,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[4,3,6,5,8,7,2,1]=>[8,1,4,3,6,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>[3,4,6,5,8,7,2,1]=>[8,1,3,4,6,5,2,7]=>[[1,3,4,5,8],[2],[6],[7]]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[5,4,3,6,8,7,2,1]=>[8,1,5,3,4,6,2,7]=>[[1,3,5,6,8],[2],[4],[7]]
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>[4,5,3,6,8,7,2,1]=>[8,1,5,4,3,6,2,7]=>[[1,3,6,8],[2],[4],[5],[7]]
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>[3,5,4,6,8,7,2,1]=>[8,1,3,5,4,6,2,7]=>[[1,3,4,6,8],[2],[5],[7]]
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>[4,3,5,6,8,7,2,1]=>[8,1,4,3,5,6,2,7]=>[[1,3,5,6,8],[2],[4],[7]]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[8,1,7,3,4,5,6,2]=>[[1,3,5,6,7],[2],[4],[8]]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[5,7,6,4,3,8,2,1]=>[8,1,7,3,5,4,6,2]=>[[1,3,5,7],[2],[4],[6],[8]]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>[6,5,7,4,3,8,2,1]=>[8,1,7,3,6,5,4,2]=>[[1,3,5],[2],[4],[6],[7],[8]]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]=>[5,6,7,4,3,8,2,1]=>[8,1,7,3,5,6,4,2]=>[[1,3,5,6],[2],[4],[7],[8]]
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[4,7,6,5,3,8,2,1]=>[8,1,7,4,3,5,6,2]=>[[1,3,6,7],[2],[4],[5],[8]]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[4,6,7,5,3,8,2,1]=>[8,1,7,4,3,6,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[6,5,4,7,3,8,2,1]=>[8,1,7,6,4,5,3,2]=>[[1,3,6],[2],[4],[5],[7],[8]]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[5,6,4,7,3,8,2,1]=>[8,1,7,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7],[8]]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[4,6,5,7,3,8,2,1]=>[8,1,7,4,6,5,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>[3,7,6,5,4,8,2,1]=>[8,1,3,7,4,5,6,2]=>[[1,3,4,6,7],[2],[5],[8]]
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>[3,6,7,5,4,8,2,1]=>[8,1,3,7,4,6,5,2]=>[[1,3,4,6],[2],[5],[7],[8]]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]=>[3,6,5,7,4,8,2,1]=>[8,1,3,7,6,5,4,2]=>[[1,3,4],[2],[5],[6],[7],[8]]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>[3,5,6,7,4,8,2,1]=>[8,1,3,7,5,6,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>[4,3,7,6,5,8,2,1]=>[8,1,4,3,7,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]
[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>[4,3,6,7,5,8,2,1]=>[8,1,4,3,7,6,5,2]=>[[1,3,5],[2,6],[4],[7],[8]]
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>[4,5,3,7,6,8,2,1]=>[8,1,5,4,3,7,6,2]=>[[1,3,6],[2,7],[4],[5],[8]]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[3,5,4,7,6,8,2,1]=>[8,1,3,5,4,7,6,2]=>[[1,3,4,6],[2,7],[5],[8]]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>[4,3,5,7,6,8,2,1]=>[8,1,4,3,5,7,6,2]=>[[1,3,5,6],[2,7],[4],[8]]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>[3,4,5,7,6,8,2,1]=>[8,1,3,4,5,7,6,2]=>[[1,3,4,5,6],[2],[7],[8]]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[8,1,6,3,4,5,7,2]=>[[1,3,5,6,7],[2],[4],[8]]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]]=>[5,6,4,3,7,8,2,1]=>[8,1,6,3,5,4,7,2]=>[[1,3,5,7],[2],[4],[6],[8]]
[.,[.,[[[.,[[.,.],[.,.]]],.],.]]]=>[4,6,5,3,7,8,2,1]=>[8,1,6,4,3,5,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>[4,3,6,5,7,8,2,1]=>[8,1,4,3,6,5,7,2]=>[[1,3,5,7],[2,6],[4],[8]]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>[4,5,3,6,7,8,2,1]=>[8,1,5,4,3,6,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>[8,1,4,3,5,6,7,2]=>[[1,3,5,6,7],[2],[4],[8]]
[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>[3,4,5,6,7,8,2,1]=>[8,1,3,4,5,6,7,2]=>[[1,3,4,5,6,7],[2],[8]]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,8,7,6,5,4,3,1]=>[8,2,1,3,4,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[2,7,8,6,5,4,3,1]=>[8,2,1,3,4,5,7,6]=>[[1,4,5,6,7],[2,8],[3]]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[2,6,8,7,5,4,3,1]=>[8,2,1,3,4,6,5,7]=>[[1,4,5,6,8],[2,7],[3]]
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[2,6,5,8,7,4,3,1]=>[8,2,1,3,6,5,4,7]=>[[1,4,5,8],[2,6],[3],[7]]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[2,6,7,5,8,4,3,1]=>[8,2,1,3,7,6,5,4]=>[[1,4,5],[2,6],[3],[7],[8]]
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>[2,6,5,7,8,4,3,1]=>[8,2,1,3,6,5,7,4]=>[[1,4,5,7],[2,6],[3],[8]]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[2,5,6,7,8,4,3,1]=>[8,2,1,3,5,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[2,4,7,8,6,5,3,1]=>[8,2,1,4,3,5,7,6]=>[[1,4,6,7],[2,5,8],[3]]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[2,4,6,8,7,5,3,1]=>[8,2,1,4,3,6,5,7]=>[[1,4,6,8],[2,5,7],[3]]
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[2,5,4,7,8,6,3,1]=>[8,2,1,5,4,3,7,6]=>[[1,4,7],[2,5,8],[3],[6]]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[2,6,5,7,4,8,3,1]=>[8,2,1,7,6,5,4,3]=>[[1,4],[2,5],[3],[6],[7],[8]]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>[2,5,6,7,4,8,3,1]=>[8,2,1,7,5,6,4,3]=>[[1,4,6],[2,5],[3],[7],[8]]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[2,5,6,4,7,8,3,1]=>[8,2,1,6,5,4,7,3]=>[[1,4,7],[2,5],[3],[6],[8]]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>[2,4,6,5,7,8,3,1]=>[8,2,1,4,6,5,7,3]=>[[1,4,5,7],[2,6],[3],[8]]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[2,4,5,6,7,8,3,1]=>[8,2,1,4,5,6,7,3]=>[[1,4,5,6,7],[2,8],[3]]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[3,2,8,7,6,5,4,1]=>[8,3,2,1,4,5,6,7]=>[[1,5,6,7,8],[2],[3],[4]]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[3,2,7,8,6,5,4,1]=>[8,3,2,1,4,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[3,2,6,8,7,5,4,1]=>[8,3,2,1,4,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[3,2,7,6,8,5,4,1]=>[8,3,2,1,4,7,6,5]=>[[1,5,6],[2,7],[3,8],[4]]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[3,2,5,7,8,6,4,1]=>[8,3,2,1,5,4,7,6]=>[[1,5,7],[2,6,8],[3],[4]]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[3,2,6,5,8,7,4,1]=>[8,3,2,1,6,5,4,7]=>[[1,5,8],[2,6],[3,7],[4]]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[3,2,5,6,8,7,4,1]=>[8,3,2,1,5,6,4,7]=>[[1,5,6,8],[2,7],[3],[4]]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[3,2,6,7,5,8,4,1]=>[8,3,2,1,7,6,5,4]=>[[1,5],[2,6],[3,7],[4],[8]]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[3,2,6,5,7,8,4,1]=>[8,3,2,1,6,5,7,4]=>[[1,5,7],[2,6],[3,8],[4]]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[3,2,5,6,7,8,4,1]=>[8,3,2,1,5,6,7,4]=>[[1,5,6,7],[2,8],[3],[4]]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[2,3,8,7,6,5,4,1]=>[8,2,3,1,4,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]
[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>[2,3,7,8,6,5,4,1]=>[8,2,3,1,4,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[2,3,6,8,7,5,4,1]=>[8,2,3,1,4,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[2,3,5,7,8,6,4,1]=>[8,2,3,1,5,4,7,6]=>[[1,3,5,7],[2,6,8],[4]]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[2,3,6,5,8,7,4,1]=>[8,2,3,1,6,5,4,7]=>[[1,3,5,8],[2,6],[4],[7]]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[2,3,5,6,8,7,4,1]=>[8,2,3,1,5,6,4,7]=>[[1,3,5,6,8],[2,7],[4]]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[2,3,7,6,5,8,4,1]=>[8,2,3,1,7,5,6,4]=>[[1,3,5,7],[2,6],[4],[8]]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[2,3,6,7,5,8,4,1]=>[8,2,3,1,7,6,5,4]=>[[1,3,5],[2,6],[4],[7],[8]]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>[2,3,5,7,6,8,4,1]=>[8,2,3,1,5,7,6,4]=>[[1,3,5,6],[2,7],[4],[8]]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[2,3,6,5,7,8,4,1]=>[8,2,3,1,6,5,7,4]=>[[1,3,5,7],[2,6],[4],[8]]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[2,3,5,6,7,8,4,1]=>[8,2,3,1,5,6,7,4]=>[[1,3,5,6,7],[2,8],[4]]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>[8,4,2,3,1,5,6,7]=>[[1,4,6,7,8],[2],[3],[5]]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[4,3,2,7,8,6,5,1]=>[8,4,2,3,1,5,7,6]=>[[1,4,6,7],[2,8],[3],[5]]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[4,3,2,6,8,7,5,1]=>[8,4,2,3,1,6,5,7]=>[[1,4,6,8],[2,7],[3],[5]]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[4,3,2,6,7,8,5,1]=>[8,4,2,3,1,6,7,5]=>[[1,4,6,7],[2,8],[3],[5]]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[3,4,2,8,7,6,5,1]=>[8,4,3,2,1,5,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[3,4,2,7,8,6,5,1]=>[8,4,3,2,1,5,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[3,4,2,6,7,8,5,1]=>[8,4,3,2,1,6,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>[8,2,3,4,1,5,6,7]=>[[1,3,4,6,7,8],[2],[5]]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[2,3,4,7,8,6,5,1]=>[8,2,3,4,1,5,7,6]=>[[1,3,4,6,7],[2,8],[5]]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[2,3,4,6,7,8,5,1]=>[8,2,3,4,1,6,7,5]=>[[1,3,4,6,7],[2,8],[5]]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>[8,5,2,3,4,1,6,7]=>[[1,4,5,7,8],[2],[3],[6]]
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[4,5,3,2,8,7,6,1]=>[8,5,2,4,3,1,6,7]=>[[1,4,7,8],[2],[3],[5],[6]]
[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[4,5,3,2,7,8,6,1]=>[8,5,2,4,3,1,7,6]=>[[1,4,7],[2,8],[3],[5],[6]]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[3,5,4,2,7,8,6,1]=>[8,5,3,2,4,1,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[4,3,5,2,8,7,6,1]=>[8,5,4,3,2,1,6,7]=>[[1,7,8],[2],[3],[4],[5],[6]]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[2,5,4,3,7,8,6,1]=>[8,2,5,3,4,1,7,6]=>[[1,3,5,7],[2,8],[4],[6]]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[2,3,5,4,7,8,6,1]=>[8,2,3,5,4,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[4,3,2,5,8,7,6,1]=>[8,4,2,3,5,1,6,7]=>[[1,4,5,7,8],[2],[3],[6]]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[3,4,2,5,7,8,6,1]=>[8,4,3,2,5,1,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[2,4,3,5,7,8,6,1]=>[8,2,4,3,5,1,7,6]=>[[1,3,5,7],[2,8],[4],[6]]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[2,3,4,5,8,7,6,1]=>[8,2,3,4,5,1,6,7]=>[[1,3,4,5,7,8],[2],[6]]
[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[2,3,4,5,7,8,6,1]=>[8,2,3,4,5,1,7,6]=>[[1,3,4,5,7],[2,8],[6]]
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>[5,6,4,3,2,8,7,1]=>[8,6,2,3,5,4,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[4,6,5,3,2,8,7,1]=>[8,6,2,4,3,5,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>[4,5,6,3,2,8,7,1]=>[8,6,2,4,5,3,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[3,6,5,4,2,8,7,1]=>[8,6,3,2,4,5,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[5,4,3,6,2,8,7,1]=>[8,6,5,3,4,2,1,7]=>[[1,5,8],[2],[3],[4],[6],[7]]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[4,5,3,6,2,8,7,1]=>[8,6,5,4,3,2,1,7]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[2,6,5,4,3,8,7,1]=>[8,2,6,3,4,5,1,7]=>[[1,3,5,6,8],[2],[4],[7]]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[2,4,6,5,3,8,7,1]=>[8,2,6,4,3,5,1,7]=>[[1,3,6,8],[2],[4],[5],[7]]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[3,2,6,5,4,8,7,1]=>[8,3,2,6,4,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>[8,2,4,3,6,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>[3,2,4,6,5,8,7,1]=>[8,3,2,4,6,5,1,7]=>[[1,4,5,8],[2,6],[3],[7]]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[5,4,3,2,6,8,7,1]=>[8,5,2,3,4,6,1,7]=>[[1,4,5,6,8],[2],[3],[7]]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>[4,5,3,2,6,8,7,1]=>[8,5,2,4,3,6,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[3,5,4,2,6,8,7,1]=>[8,5,3,2,4,6,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>[4,3,5,2,6,8,7,1]=>[8,5,4,3,2,6,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>[3,2,4,5,6,8,7,1]=>[8,3,2,4,5,6,1,7]=>[[1,4,5,6,8],[2],[3],[7]]
[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,8,7,1]=>[8,2,3,4,5,6,1,7]=>[[1,3,4,5,6,8],[2],[7]]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[8,7,2,3,4,5,6,1]=>[[1,4,5,6,7],[2],[3],[8]]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[5,7,6,4,3,2,8,1]=>[8,7,2,3,5,4,6,1]=>[[1,4,5,7],[2],[3],[6],[8]]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[8,7,2,3,6,5,4,1]=>[[1,4,5],[2],[3],[6],[7],[8]]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[4,7,6,5,3,2,8,1]=>[8,7,2,4,3,5,6,1]=>[[1,4,6,7],[2],[3],[5],[8]]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]=>[4,6,7,5,3,2,8,1]=>[8,7,2,4,3,6,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[5,4,7,6,3,2,8,1]=>[8,7,2,5,4,3,6,1]=>[[1,4,7],[2],[3],[5],[6],[8]]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[4,5,7,6,3,2,8,1]=>[8,7,2,4,5,3,6,1]=>[[1,4,5,7],[2],[3],[6],[8]]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]=>[6,5,4,7,3,2,8,1]=>[8,7,2,6,4,5,3,1]=>[[1,4,6],[2],[3],[5],[7],[8]]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[4,6,5,7,3,2,8,1]=>[8,7,2,4,6,5,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[8,7,2,4,5,6,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]
[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]=>[3,6,7,5,4,2,8,1]=>[8,7,3,2,4,6,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[3,5,7,6,4,2,8,1]=>[8,7,3,2,5,4,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[3,5,6,7,4,2,8,1]=>[8,7,3,2,5,6,4,1]=>[[1,5,6],[2,7],[3],[4],[8]]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[4,3,7,6,5,2,8,1]=>[8,7,4,3,2,5,6,1]=>[[1,6,7],[2],[3],[4],[5],[8]]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>[3,4,6,7,5,2,8,1]=>[8,7,3,4,2,6,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[5,4,3,7,6,2,8,1]=>[8,7,5,3,4,2,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[4,5,3,7,6,2,8,1]=>[8,7,5,4,3,2,6,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>[3,5,4,7,6,2,8,1]=>[8,7,3,5,4,2,6,1]=>[[1,4,7],[2],[3],[5],[6],[8]]
[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]=>[4,3,5,7,6,2,8,1]=>[8,7,4,3,5,2,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[8,7,6,3,4,5,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[5,6,4,3,7,2,8,1]=>[8,7,6,3,5,4,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[4,6,5,3,7,2,8,1]=>[8,7,6,4,3,5,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[3,6,5,4,7,2,8,1]=>[8,7,3,6,4,5,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>[3,4,6,5,7,2,8,1]=>[8,7,3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[8,7,5,3,4,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[3,5,4,6,7,2,8,1]=>[8,7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]]=>[4,3,5,6,7,2,8,1]=>[8,7,4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]
[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[2,7,6,5,4,3,8,1]=>[8,2,7,3,4,5,6,1]=>[[1,3,5,6,7],[2],[4],[8]]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[2,6,5,7,4,3,8,1]=>[8,2,7,3,6,5,4,1]=>[[1,3,5],[2],[4],[6],[7],[8]]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[2,5,4,7,6,3,8,1]=>[8,2,7,5,4,3,6,1]=>[[1,3,7],[2],[4],[5],[6],[8]]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[2,4,5,7,6,3,8,1]=>[8,2,7,4,5,3,6,1]=>[[1,3,5,7],[2],[4],[6],[8]]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[2,5,6,4,7,3,8,1]=>[8,2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[2,4,6,5,7,3,8,1]=>[8,2,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[2,5,4,6,7,3,8,1]=>[8,2,7,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]
[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[2,4,5,6,7,3,8,1]=>[8,2,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[3,2,6,7,5,4,8,1]=>[8,3,2,7,4,6,5,1]=>[[1,4,6],[2,5],[3],[7],[8]]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[3,2,6,5,7,4,8,1]=>[8,3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]
[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>[3,2,5,6,7,4,8,1]=>[8,3,2,7,5,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[2,3,7,6,5,4,8,1]=>[8,2,3,7,4,5,6,1]=>[[1,3,4,6,7],[2],[5],[8]]
[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[2,3,5,6,7,4,8,1]=>[8,2,3,7,5,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[4,3,2,7,6,5,8,1]=>[8,4,2,3,7,5,6,1]=>[[1,4,5,7],[2,6],[3],[8]]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[4,3,2,6,7,5,8,1]=>[8,4,2,3,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[3,4,2,7,6,5,8,1]=>[8,4,3,2,7,5,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[2,4,3,7,6,5,8,1]=>[8,2,4,3,7,5,6,1]=>[[1,3,5,7],[2,6],[4],[8]]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>[3,4,5,2,7,6,8,1]=>[8,5,3,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[2,5,4,3,7,6,8,1]=>[8,2,5,3,4,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]
[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>[2,4,5,3,7,6,8,1]=>[8,2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,8,1]=>[8,3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[4,3,2,5,7,6,8,1]=>[8,4,2,3,5,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]
[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[2,3,4,5,7,6,8,1]=>[8,2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[8,6,2,3,4,5,7,1]=>[[1,4,5,6,7],[2],[3],[8]]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[8,6,2,5,4,3,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>[4,5,6,3,2,7,8,1]=>[8,6,2,4,5,3,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[3,5,6,4,2,7,8,1]=>[8,6,3,2,5,4,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>[4,3,6,5,2,7,8,1]=>[8,6,4,3,2,5,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[8,6,5,3,4,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]
[.,[[[.,[[.,[[.,.],.]],.]],.],.]]=>[4,5,3,6,2,7,8,1]=>[8,6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[2,6,5,4,3,7,8,1]=>[8,2,6,3,4,5,7,1]=>[[1,3,5,6,7],[2],[4],[8]]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[2,5,4,6,3,7,8,1]=>[8,2,6,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]
[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[2,4,5,6,3,7,8,1]=>[8,2,6,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]
[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[2,3,5,6,4,7,8,1]=>[8,2,3,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>[4,3,2,6,5,7,8,1]=>[8,4,2,3,6,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[2,4,3,6,5,7,8,1]=>[8,2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]
[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]
[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[2,4,5,3,6,7,8,1]=>[8,2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]
[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[2,3,5,4,6,7,8,1]=>[8,2,3,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[8,4,2,3,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]
[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,8,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[[1,2,4,5,6,7,8],[3]]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[1,7,8,6,5,4,3,2]=>[1,8,2,3,4,5,7,6]=>[[1,2,4,5,6,7],[3],[8]]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[1,6,8,7,5,4,3,2]=>[1,8,2,3,4,6,5,7]=>[[1,2,4,5,6,8],[3],[7]]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[1,7,6,8,5,4,3,2]=>[1,8,2,3,4,7,6,5]=>[[1,2,4,5,6],[3],[7],[8]]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[1,6,7,8,5,4,3,2]=>[1,8,2,3,4,6,7,5]=>[[1,2,4,5,6,7],[3],[8]]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[1,5,8,7,6,4,3,2]=>[1,8,2,3,5,4,6,7]=>[[1,2,4,5,7,8],[3],[6]]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[1,6,5,8,7,4,3,2]=>[1,8,2,3,6,5,4,7]=>[[1,2,4,5,8],[3],[6],[7]]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[1,5,6,8,7,4,3,2]=>[1,8,2,3,5,6,4,7]=>[[1,2,4,5,6,8],[3],[7]]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[1,7,6,5,8,4,3,2]=>[1,8,2,3,7,5,6,4]=>[[1,2,4,5,7],[3],[6],[8]]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[1,6,7,5,8,4,3,2]=>[1,8,2,3,7,6,5,4]=>[[1,2,4,5],[3],[6],[7],[8]]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[1,6,5,7,8,4,3,2]=>[1,8,2,3,6,5,7,4]=>[[1,2,4,5,7],[3],[6],[8]]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>[1,8,2,3,5,6,7,4]=>[[1,2,4,5,6,7],[3],[8]]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[1,4,8,7,6,5,3,2]=>[1,8,2,4,3,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[1,4,6,8,7,5,3,2]=>[1,8,2,4,3,6,5,7]=>[[1,2,4,6,8],[3,7],[5]]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>[1,4,7,6,8,5,3,2]=>[1,8,2,4,3,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[1,4,6,5,8,7,3,2]=>[1,8,2,4,6,5,3,7]=>[[1,2,4,5,8],[3],[6],[7]]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[1,7,6,5,4,8,3,2]=>[1,8,2,7,4,5,6,3]=>[[1,2,4,6,7],[3],[5],[8]]
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>[1,6,7,5,4,8,3,2]=>[1,8,2,7,4,6,5,3]=>[[1,2,4,6],[3],[5],[7],[8]]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[1,6,5,7,4,8,3,2]=>[1,8,2,7,6,5,4,3]=>[[1,2,4],[3],[5],[6],[7],[8]]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[1,4,7,6,5,8,3,2]=>[1,8,2,4,7,5,6,3]=>[[1,2,4,5,7],[3],[6],[8]]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[1,4,6,7,5,8,3,2]=>[1,8,2,4,7,6,5,3]=>[[1,2,4,5],[3],[6],[7],[8]]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[1,5,4,7,6,8,3,2]=>[1,8,2,5,4,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>[1,4,5,7,6,8,3,2]=>[1,8,2,4,5,7,6,3]=>[[1,2,4,5,6],[3],[7],[8]]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[1,5,4,6,7,8,3,2]=>[1,8,2,5,4,6,7,3]=>[[1,2,4,6,7],[3],[5],[8]]
[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[1,4,5,6,7,8,3,2]=>[1,8,2,4,5,6,7,3]=>[[1,2,4,5,6,7],[3],[8]]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[1,3,8,7,6,5,4,2]=>[1,8,3,2,4,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[1,3,7,8,6,5,4,2]=>[1,8,3,2,4,5,7,6]=>[[1,2,5,6,7],[3,8],[4]]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[1,3,5,8,7,6,4,2]=>[1,8,3,2,5,4,6,7]=>[[1,2,5,7,8],[3,6],[4]]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[1,8,3,2,5,4,7,6]=>[[1,2,5,7],[3,6,8],[4]]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[1,3,5,6,8,7,4,2]=>[1,8,3,2,5,6,4,7]=>[[1,2,5,6,8],[3,7],[4]]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[1,3,7,6,5,8,4,2]=>[1,8,3,2,7,5,6,4]=>[[1,2,5,7],[3,6],[4],[8]]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[1,3,6,7,5,8,4,2]=>[1,8,3,2,7,6,5,4]=>[[1,2,5],[3,6],[4],[7],[8]]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>[1,8,3,2,5,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[1,8,4,3,2,5,6,7]=>[[1,2,6,7,8],[3],[4],[5]]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[1,4,3,7,8,6,5,2]=>[1,8,4,3,2,5,7,6]=>[[1,2,6,7],[3,8],[4],[5]]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[1,4,3,7,6,8,5,2]=>[1,8,4,3,2,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[1,4,3,6,7,8,5,2]=>[1,8,4,3,2,6,7,5]=>[[1,2,6,7],[3,8],[4],[5]]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>[1,8,3,4,2,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[1,3,4,7,6,8,5,2]=>[1,8,3,4,2,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]
[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[1,3,4,6,7,8,5,2]=>[1,8,3,4,2,6,7,5]=>[[1,2,4,6,7],[3,8],[5]]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[1,4,5,3,8,7,6,2]=>[1,8,5,4,3,2,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[1,4,5,3,7,8,6,2]=>[1,8,5,4,3,2,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[1,3,5,4,7,8,6,2]=>[1,8,3,5,4,2,7,6]=>[[1,2,4,7],[3,8],[5],[6]]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[1,4,3,5,7,8,6,2]=>[1,8,4,3,5,2,7,6]=>[[1,2,5,7],[3,8],[4],[6]]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[1,3,4,5,8,7,6,2]=>[1,8,3,4,5,2,6,7]=>[[1,2,4,5,7,8],[3],[6]]
[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[1,3,4,5,7,8,6,2]=>[1,8,3,4,5,2,7,6]=>[[1,2,4,5,7],[3,8],[6]]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[1,6,5,4,3,8,7,2]=>[1,8,6,3,4,5,2,7]=>[[1,2,5,6,8],[3],[4],[7]]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[1,5,6,4,3,8,7,2]=>[1,8,6,3,5,4,2,7]=>[[1,2,5,8],[3],[4],[6],[7]]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[1,5,4,6,3,8,7,2]=>[1,8,6,5,4,3,2,7]=>[[1,2,8],[3],[4],[5],[6],[7]]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[1,3,6,5,4,8,7,2]=>[1,8,3,6,4,5,2,7]=>[[1,2,4,6,8],[3],[5],[7]]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[1,8,4,3,6,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[1,5,4,3,6,8,7,2]=>[1,8,5,3,4,6,2,7]=>[[1,2,5,6,8],[3],[4],[7]]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>[1,4,5,3,6,8,7,2]=>[1,8,5,4,3,6,2,7]=>[[1,2,6,8],[3],[4],[5],[7]]
[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[1,3,4,5,6,8,7,2]=>[1,8,3,4,5,6,2,7]=>[[1,2,4,5,6,8],[3],[7]]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[1,7,6,5,4,3,8,2]=>[1,8,7,3,4,5,6,2]=>[[1,2,5,6,7],[3],[4],[8]]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>[1,6,7,5,4,3,8,2]=>[1,8,7,3,4,6,5,2]=>[[1,2,5,6],[3],[4],[7],[8]]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[1,6,5,7,4,3,8,2]=>[1,8,7,3,6,5,4,2]=>[[1,2,5],[3],[4],[6],[7],[8]]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>[1,4,7,6,5,3,8,2]=>[1,8,7,4,3,5,6,2]=>[[1,2,6,7],[3],[4],[5],[8]]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[1,4,6,7,5,3,8,2]=>[1,8,7,4,3,6,5,2]=>[[1,2,6],[3,7],[4],[5],[8]]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[1,5,4,7,6,3,8,2]=>[1,8,7,5,4,3,6,2]=>[[1,2,7],[3],[4],[5],[6],[8]]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>[1,4,5,7,6,3,8,2]=>[1,8,7,4,5,3,6,2]=>[[1,2,5,7],[3],[4],[6],[8]]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[1,5,4,6,7,3,8,2]=>[1,8,7,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]
[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[1,4,5,6,7,3,8,2]=>[1,8,7,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>[1,3,6,5,7,4,8,2]=>[1,8,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]
[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[1,3,5,6,7,4,8,2]=>[1,8,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[1,5,4,3,7,6,8,2]=>[1,8,5,3,4,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]
[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>[1,4,3,5,7,6,8,2]=>[1,8,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>[1,4,6,5,3,7,8,2]=>[1,8,6,4,3,5,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[1,5,4,6,3,7,8,2]=>[1,8,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6],[8]]
[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[1,4,5,6,3,7,8,2]=>[1,8,6,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]
[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[1,3,5,6,4,7,8,2]=>[1,8,3,6,5,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[1,4,3,6,5,7,8,2]=>[1,8,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[1,5,4,3,6,7,8,2]=>[1,8,5,3,4,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]
[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[1,4,5,3,6,7,8,2]=>[1,8,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]
[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[1,3,5,4,6,7,8,2]=>[1,8,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[1,4,3,5,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[2,1,8,3,4,5,6,7]=>[[1,3,5,6,7,8],[2,4]]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[2,1,7,6,8,5,4,3]=>[2,1,8,3,4,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[2,1,8,3,4,6,7,5]=>[[1,3,5,6,7],[2,4],[8]]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[2,1,5,7,8,6,4,3]=>[2,1,8,3,5,4,7,6]=>[[1,3,5,7],[2,4,8],[6]]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[2,1,7,6,5,8,4,3]=>[2,1,8,3,7,5,6,4]=>[[1,3,5,7],[2,4],[6],[8]]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>[2,1,8,3,7,6,5,4]=>[[1,3,5],[2,4],[6],[7],[8]]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[2,1,5,7,6,8,4,3]=>[2,1,8,3,5,7,6,4]=>[[1,3,5,6],[2,4],[7],[8]]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[2,1,6,5,7,8,4,3]=>[2,1,8,3,6,5,7,4]=>[[1,3,5,7],[2,4],[6],[8]]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[2,1,5,6,7,8,4,3]=>[2,1,8,3,5,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[2,1,4,7,8,6,5,3]=>[2,1,8,4,3,5,7,6]=>[[1,3,6,7],[2,4,8],[5]]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[2,1,4,6,8,7,5,3]=>[2,1,8,4,3,6,5,7]=>[[1,3,6,8],[2,4,7],[5]]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[2,1,4,7,6,8,5,3]=>[2,1,8,4,3,7,6,5]=>[[1,3,6],[2,4,7],[5],[8]]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[2,1,5,4,8,7,6,3]=>[2,1,8,5,4,3,6,7]=>[[1,3,7,8],[2,4],[5],[6]]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[2,1,5,4,7,8,6,3]=>[2,1,8,5,4,3,7,6]=>[[1,3,7],[2,4,8],[5],[6]]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[2,1,4,5,7,8,6,3]=>[2,1,8,4,5,3,7,6]=>[[1,3,5,7],[2,4,8],[6]]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[2,1,5,6,4,8,7,3]=>[2,1,8,6,5,4,3,7]=>[[1,3,8],[2,4],[5],[6],[7]]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[2,1,5,4,6,8,7,3]=>[2,1,8,5,4,6,3,7]=>[[1,3,6,8],[2,4],[5],[7]]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[2,1,6,7,5,4,8,3]=>[2,1,8,7,4,6,5,3]=>[[1,3,6],[2,4],[5],[7],[8]]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[2,1,5,7,6,4,8,3]=>[2,1,8,7,5,4,6,3]=>[[1,3,7],[2,4],[5],[6],[8]]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[2,1,5,6,7,4,8,3]=>[2,1,8,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[2,1,4,7,6,5,8,3]=>[2,1,8,4,7,5,6,3]=>[[1,3,5,7],[2,4],[6],[8]]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[2,1,4,6,7,5,8,3]=>[2,1,8,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,8,3]=>[2,1,8,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[2,1,4,5,7,6,8,3]=>[2,1,8,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[2,1,6,5,4,7,8,3]=>[2,1,8,6,4,5,7,3]=>[[1,3,6,7],[2,4],[5],[8]]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[2,1,5,6,4,7,8,3]=>[2,1,8,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]
[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>[2,1,4,6,5,7,8,3]=>[2,1,8,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[2,1,5,4,6,7,8,3]=>[2,1,8,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5],[8]]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[2,1,4,5,6,7,8,3]=>[2,1,8,4,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,8,7,6,5,4,3]=>[1,2,8,3,4,5,6,7]=>[[1,2,3,5,6,7,8],[4]]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[1,2,7,8,6,5,4,3]=>[1,2,8,3,4,5,7,6]=>[[1,2,3,5,6,7],[4],[8]]
[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[1,2,6,8,7,5,4,3]=>[1,2,8,3,4,6,5,7]=>[[1,2,3,5,6,8],[4],[7]]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[1,2,7,6,8,5,4,3]=>[1,2,8,3,4,7,6,5]=>[[1,2,3,5,6],[4],[7],[8]]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[1,2,6,7,8,5,4,3]=>[1,2,8,3,4,6,7,5]=>[[1,2,3,5,6,7],[4],[8]]
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[1,2,5,8,7,6,4,3]=>[1,2,8,3,5,4,6,7]=>[[1,2,3,5,7,8],[4],[6]]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[1,2,5,7,8,6,4,3]=>[1,2,8,3,5,4,7,6]=>[[1,2,3,5,7],[4,8],[6]]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[1,2,6,5,8,7,4,3]=>[1,2,8,3,6,5,4,7]=>[[1,2,3,5,8],[4],[6],[7]]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[1,2,5,6,8,7,4,3]=>[1,2,8,3,5,6,4,7]=>[[1,2,3,5,6,8],[4],[7]]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[1,2,6,7,5,8,4,3]=>[1,2,8,3,7,6,5,4]=>[[1,2,3,5],[4],[6],[7],[8]]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[1,2,5,7,6,8,4,3]=>[1,2,8,3,5,7,6,4]=>[[1,2,3,5,6],[4],[7],[8]]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[1,2,6,5,7,8,4,3]=>[1,2,8,3,6,5,7,4]=>[[1,2,3,5,7],[4],[6],[8]]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[1,2,5,6,7,8,4,3]=>[1,2,8,3,5,6,7,4]=>[[1,2,3,5,6,7],[4],[8]]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[1,2,4,8,7,6,5,3]=>[1,2,8,4,3,5,6,7]=>[[1,2,3,6,7,8],[4],[5]]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[1,2,4,7,8,6,5,3]=>[1,2,8,4,3,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[1,2,4,6,8,7,5,3]=>[1,2,8,4,3,6,5,7]=>[[1,2,3,6,8],[4,7],[5]]
[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>[1,2,4,7,6,8,5,3]=>[1,2,8,4,3,7,6,5]=>[[1,2,3,6],[4,7],[5],[8]]
[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[1,2,4,6,7,8,5,3]=>[1,2,8,4,3,6,7,5]=>[[1,2,3,6,7],[4,8],[5]]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[1,2,5,4,8,7,6,3]=>[1,2,8,5,4,3,6,7]=>[[1,2,3,7,8],[4],[5],[6]]
[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[1,2,4,5,7,8,6,3]=>[1,2,8,4,5,3,7,6]=>[[1,2,3,5,7],[4,8],[6]]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[1,2,6,5,4,8,7,3]=>[1,2,8,6,4,5,3,7]=>[[1,2,3,6,8],[4],[5],[7]]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[1,2,5,6,4,8,7,3]=>[1,2,8,6,5,4,3,7]=>[[1,2,3,8],[4],[5],[6],[7]]
[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[1,2,4,5,6,8,7,3]=>[1,2,8,4,5,6,3,7]=>[[1,2,3,5,6,8],[4],[7]]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[1,2,7,6,5,4,8,3]=>[1,2,8,7,4,5,6,3]=>[[1,2,3,6,7],[4],[5],[8]]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[1,2,6,7,5,4,8,3]=>[1,2,8,7,4,6,5,3]=>[[1,2,3,6],[4],[5],[7],[8]]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[1,2,5,7,6,4,8,3]=>[1,2,8,7,5,4,6,3]=>[[1,2,3,7],[4],[5],[6],[8]]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[1,2,6,5,7,4,8,3]=>[1,2,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[1,2,5,6,7,4,8,3]=>[1,2,8,7,5,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]
[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[1,2,4,6,7,5,8,3]=>[1,2,8,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[1,2,5,4,7,6,8,3]=>[1,2,8,5,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[1,2,6,5,4,7,8,3]=>[1,2,8,6,4,5,7,3]=>[[1,2,3,6,7],[4],[5],[8]]
[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[1,2,5,6,4,7,8,3]=>[1,2,8,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]
[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,5,4,6,7,8,3]=>[1,2,8,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5],[8]]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[3,1,2,8,4,5,6,7]=>[[1,3,4,6,7,8],[2,5]]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[3,2,1,7,8,6,5,4]=>[3,1,2,8,4,5,7,6]=>[[1,3,4,6,7],[2,5],[8]]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[3,2,1,6,7,8,5,4]=>[3,1,2,8,4,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[3,2,1,5,7,8,6,4]=>[3,1,2,8,5,4,7,6]=>[[1,3,4,7],[2,5,8],[6]]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[3,1,2,8,6,5,4,7]=>[[1,3,4,8],[2,5],[6],[7]]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[3,2,1,5,6,8,7,4]=>[3,1,2,8,5,6,4,7]=>[[1,3,4,6,8],[2,5],[7]]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[3,2,1,7,6,5,8,4]=>[3,1,2,8,7,5,6,4]=>[[1,3,4,7],[2,5],[6],[8]]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[3,2,1,6,7,5,8,4]=>[3,1,2,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[3,2,1,6,5,7,8,4]=>[3,1,2,8,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[3,2,1,5,6,7,8,4]=>[3,1,2,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[2,3,1,8,7,6,5,4]=>[3,2,1,8,4,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[2,3,1,7,8,6,5,4]=>[3,2,1,8,4,5,7,6]=>[[1,4,6,7],[2,5],[3,8]]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[2,3,1,6,8,7,5,4]=>[3,2,1,8,4,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[2,3,1,7,6,8,5,4]=>[3,2,1,8,4,7,6,5]=>[[1,4,6],[2,5],[3,7],[8]]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[2,3,1,6,7,8,5,4]=>[3,2,1,8,4,6,7,5]=>[[1,4,6,7],[2,5],[3,8]]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[2,3,1,5,8,7,6,4]=>[3,2,1,8,5,4,6,7]=>[[1,4,7,8],[2,5],[3,6]]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[2,3,1,5,7,8,6,4]=>[3,2,1,8,5,4,7,6]=>[[1,4,7],[2,5,8],[3,6]]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[2,3,1,6,5,8,7,4]=>[3,2,1,8,6,5,4,7]=>[[1,4,8],[2,5],[3,6],[7]]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[2,3,1,5,6,8,7,4]=>[3,2,1,8,5,6,4,7]=>[[1,4,6,8],[2,5],[3,7]]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[2,3,1,7,6,5,8,4]=>[3,2,1,8,7,5,6,4]=>[[1,4,7],[2,5],[3,6],[8]]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[2,3,1,5,7,6,8,4]=>[3,2,1,8,5,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>[2,3,1,6,5,7,8,4]=>[3,2,1,8,6,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[1,3,2,8,7,6,5,4]=>[1,3,2,8,4,5,6,7]=>[[1,2,4,6,7,8],[3,5]]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[1,3,2,7,8,6,5,4]=>[1,3,2,8,4,5,7,6]=>[[1,2,4,6,7],[3,5],[8]]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[1,3,2,6,8,7,5,4]=>[1,3,2,8,4,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[1,3,2,6,7,8,5,4]=>[1,3,2,8,4,6,7,5]=>[[1,2,4,6,7],[3,5],[8]]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[1,3,2,5,8,7,6,4]=>[1,3,2,8,5,4,6,7]=>[[1,2,4,7,8],[3,5],[6]]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[1,3,2,5,7,8,6,4]=>[1,3,2,8,5,4,7,6]=>[[1,2,4,7],[3,5,8],[6]]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[1,3,2,6,5,8,7,4]=>[1,3,2,8,6,5,4,7]=>[[1,2,4,8],[3,5],[6],[7]]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[1,3,2,5,6,8,7,4]=>[1,3,2,8,5,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[1,3,2,6,7,5,8,4]=>[1,3,2,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[1,3,2,5,7,6,8,4]=>[1,3,2,8,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[1,3,2,6,5,7,8,4]=>[1,3,2,8,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[2,1,3,8,7,6,5,4]=>[2,1,3,8,4,5,6,7]=>[[1,3,4,6,7,8],[2,5]]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[2,1,3,7,8,6,5,4]=>[2,1,3,8,4,5,7,6]=>[[1,3,4,6,7],[2,5],[8]]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[2,1,3,6,8,7,5,4]=>[2,1,3,8,4,6,5,7]=>[[1,3,4,6,8],[2,5],[7]]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[2,1,3,7,6,8,5,4]=>[2,1,3,8,4,7,6,5]=>[[1,3,4,6],[2,5],[7],[8]]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[2,1,3,6,7,8,5,4]=>[2,1,3,8,4,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[2,1,3,5,8,7,6,4]=>[2,1,3,8,5,4,6,7]=>[[1,3,4,7,8],[2,5],[6]]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[2,1,3,5,7,8,6,4]=>[2,1,3,8,5,4,7,6]=>[[1,3,4,7],[2,5,8],[6]]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[2,1,3,6,5,8,7,4]=>[2,1,3,8,6,5,4,7]=>[[1,3,4,8],[2,5],[6],[7]]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[2,1,3,7,6,5,8,4]=>[2,1,3,8,7,5,6,4]=>[[1,3,4,7],[2,5],[6],[8]]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[2,1,3,6,7,5,8,4]=>[2,1,3,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[2,1,3,5,7,6,8,4]=>[2,1,3,8,5,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[2,1,3,6,5,7,8,4]=>[2,1,3,8,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[2,1,3,5,6,7,8,4]=>[2,1,3,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[1,2,3,8,4,5,6,7]=>[[1,2,3,4,6,7,8],[5]]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[1,2,3,7,8,6,5,4]=>[1,2,3,8,4,5,7,6]=>[[1,2,3,4,6,7],[5],[8]]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[1,2,3,8,4,6,5,7]=>[[1,2,3,4,6,8],[5],[7]]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[1,2,3,7,6,8,5,4]=>[1,2,3,8,4,7,6,5]=>[[1,2,3,4,6],[5],[7],[8]]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[1,2,3,6,7,8,5,4]=>[1,2,3,8,4,6,7,5]=>[[1,2,3,4,6,7],[5],[8]]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[1,2,3,5,8,7,6,4]=>[1,2,3,8,5,4,6,7]=>[[1,2,3,4,7,8],[5],[6]]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[1,2,3,5,7,8,6,4]=>[1,2,3,8,5,4,7,6]=>[[1,2,3,4,7],[5,8],[6]]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[1,2,3,8,6,5,4,7]=>[[1,2,3,4,8],[5],[6],[7]]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[1,2,3,5,6,8,7,4]=>[1,2,3,8,5,6,4,7]=>[[1,2,3,4,6,8],[5],[7]]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[1,2,3,7,6,5,8,4]=>[1,2,3,8,7,5,6,4]=>[[1,2,3,4,7],[5],[6],[8]]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[4,1,2,3,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[4,1,2,3,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[4,1,2,3,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[4,1,2,3,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[4,1,2,3,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[4,1,3,2,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[4,1,3,2,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[3,4,2,1,6,8,7,5]=>[4,1,3,2,8,6,5,7]=>[[1,3,5,8],[2,6],[4,7]]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[3,4,2,1,7,6,8,5]=>[4,1,3,2,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[3,4,2,1,6,7,8,5]=>[4,1,3,2,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[4,2,1,3,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[2,4,3,1,7,8,6,5]=>[4,2,1,3,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[4,2,1,3,8,6,5,7]=>[[1,4,5,8],[2,6],[3,7]]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[2,4,3,1,7,6,8,5]=>[4,2,1,3,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[4,3,2,1,8,5,6,7]=>[[1,5,7,8],[2,6],[3],[4]]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[3,2,4,1,7,8,6,5]=>[4,3,2,1,8,5,7,6]=>[[1,5,7],[2,6],[3,8],[4]]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[3,2,4,1,6,8,7,5]=>[4,3,2,1,8,6,5,7]=>[[1,5,8],[2,6],[3,7],[4]]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[3,2,4,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[4,2,3,1,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[2,3,4,1,7,8,6,5]=>[4,2,3,1,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[1,4,2,3,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[1,4,3,2,7,8,6,5]=>[1,4,2,3,8,5,7,6]=>[[1,2,4,5,7],[3,6],[8]]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[1,4,3,2,6,8,7,5]=>[1,4,2,3,8,6,5,7]=>[[1,2,4,5,8],[3,6],[7]]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[1,4,3,2,7,6,8,5]=>[1,4,2,3,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[1,4,3,2,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,5,6,7]=>[[1,3,5,7,8],[2,4,6]]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[2,1,4,3,8,5,7,6]=>[[1,3,5,7],[2,4,6],[8]]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,8,6,5,7]=>[[1,3,5,8],[2,4,6],[7]]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[1,2,4,3,7,8,6,5]=>[1,2,4,3,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[3,1,2,4,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[3,2,1,4,7,8,6,5]=>[3,1,2,4,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[3,2,1,4,6,8,7,5]=>[3,1,2,4,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[3,2,1,4,7,6,8,5]=>[3,1,2,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[3,2,1,4,6,7,8,5]=>[3,1,2,4,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[3,2,1,4,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[2,3,1,4,7,8,6,5]=>[3,2,1,4,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]
[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[1,3,2,4,7,8,6,5]=>[1,3,2,4,8,5,7,6]=>[[1,2,4,5,7],[3,6],[8]]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,8,6,5,7]=>[[1,2,4,5,8],[3,6],[7]]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[2,1,3,4,7,8,6,5]=>[2,1,3,4,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[2,1,3,4,6,8,7,5]=>[2,1,3,4,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[2,1,3,4,7,6,8,5]=>[2,1,3,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,5,6,7]=>[[1,2,3,4,5,7,8],[6]]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[1,2,3,4,7,8,6,5]=>[1,2,3,4,8,5,7,6]=>[[1,2,3,4,5,7],[6],[8]]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,8,6,5,7]=>[[1,2,3,4,5,8],[6],[7]]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[5,1,2,3,4,8,6,7]=>[[1,3,4,5,6,8],[2,7]]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[5,1,2,3,4,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[3,5,4,2,1,8,7,6]=>[5,1,3,2,4,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[4,3,5,2,1,7,8,6]=>[5,1,4,3,2,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[3,4,5,2,1,8,7,6]=>[5,1,3,4,2,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>[2,5,4,3,1,7,8,6]=>[5,2,1,3,4,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[2,4,5,3,1,8,7,6]=>[5,2,1,4,3,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[5,3,2,1,4,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[3,2,5,4,1,7,8,6]=>[5,3,2,1,4,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[2,3,5,4,1,8,7,6]=>[5,2,3,1,4,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[4,3,2,5,1,8,7,6]=>[5,4,2,3,1,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[4,3,2,5,1,7,8,6]=>[5,4,2,3,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[3,4,2,5,1,8,7,6]=>[5,4,3,2,1,8,6,7]=>[[1,6,8],[2,7],[3],[4],[5]]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[2,4,3,5,1,7,8,6]=>[5,2,4,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]
[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>[3,2,4,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[2,3,4,5,1,8,7,6]=>[5,2,3,4,1,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]
[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[1,5,4,3,2,8,7,6]=>[1,5,2,3,4,8,6,7]=>[[1,2,4,5,6,8],[3,7]]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[1,5,4,3,2,7,8,6]=>[1,5,2,3,4,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[1,4,5,3,2,8,7,6]=>[1,5,2,4,3,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[1,4,5,3,2,7,8,6]=>[1,5,2,4,3,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[1,3,5,4,2,8,7,6]=>[1,5,3,2,4,8,6,7]=>[[1,2,5,6,8],[3,7],[4]]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[1,3,5,4,2,7,8,6]=>[1,5,3,2,4,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[1,4,3,5,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]
[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[2,1,4,5,3,7,8,6]=>[2,1,5,4,3,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[1,2,5,4,3,8,7,6]=>[1,2,5,3,4,8,6,7]=>[[1,2,3,5,6,8],[4,7]]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[1,2,5,4,3,7,8,6]=>[1,2,5,3,4,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[1,2,4,5,3,8,7,6]=>[1,2,5,4,3,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]
[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,8,6,7]=>[[1,2,4,6,8],[3,5,7]]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,8,6,7]=>[[1,2,3,4,6,8],[5,7]]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[4,1,2,3,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[4,1,2,3,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[2,4,3,1,5,8,7,6]=>[4,2,1,3,5,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[2,4,3,1,5,7,8,6]=>[4,2,1,3,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[3,2,4,1,5,8,7,6]=>[4,3,2,1,5,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[3,2,4,1,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[2,3,4,1,5,8,7,6]=>[4,2,3,1,5,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[1,4,3,2,5,8,7,6]=>[1,4,2,3,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[1,4,3,2,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[1,3,4,2,5,8,7,6]=>[1,4,3,2,5,8,6,7]=>[[1,2,5,6,8],[3,7],[4]]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,8,6,7]=>[[1,3,5,6,8],[2,4,7]]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[1,2,4,3,5,8,7,6]=>[1,2,4,3,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[3,2,1,4,5,8,7,6]=>[3,1,2,4,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[1,3,2,4,5,8,7,6]=>[1,3,2,4,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]
[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,8],[7]]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[6,1,2,3,4,5,8,7]=>[[1,3,4,5,6,7],[2,8]]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[4,6,5,3,2,1,8,7]=>[6,1,2,4,3,5,8,7]=>[[1,3,4,6,7],[2,8],[5]]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[5,4,6,3,2,1,8,7]=>[6,1,2,5,4,3,8,7]=>[[1,3,4,7],[2,8],[5],[6]]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[6,1,2,4,5,3,8,7]=>[[1,3,4,5,7],[2,8],[6]]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[3,5,6,4,2,1,8,7]=>[6,1,3,2,5,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>[3,4,6,5,2,1,8,7]=>[6,1,3,4,2,5,8,7]=>[[1,3,4,6,7],[2,8],[5]]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[5,4,3,6,2,1,8,7]=>[6,1,5,3,4,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[4,5,3,6,2,1,8,7]=>[6,1,5,4,3,2,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>[4,3,5,6,2,1,8,7]=>[6,1,4,3,5,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[2,4,6,5,3,1,8,7]=>[6,2,1,4,3,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>[2,5,4,6,3,1,8,7]=>[6,2,1,5,4,3,8,7]=>[[1,4,7],[2,5,8],[3],[6]]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[3,2,6,5,4,1,8,7]=>[6,3,2,1,4,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[3,2,5,6,4,1,8,7]=>[6,3,2,1,5,4,8,7]=>[[1,5,7],[2,6,8],[3],[4]]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[3,4,2,6,5,1,8,7]=>[6,4,3,2,1,5,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,1,8,7]=>[6,2,4,3,1,5,8,7]=>[[1,3,6,7],[2,8],[4],[5]]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[3,5,4,2,6,1,8,7]=>[6,5,3,2,4,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7]=>[[1,7],[2,8],[3],[4],[5],[6]]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[3,4,5,2,6,1,8,7]=>[6,5,3,4,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>[2,5,4,3,6,1,8,7]=>[6,2,5,3,4,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>[2,4,5,3,6,1,8,7]=>[6,2,5,4,3,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[3,2,5,4,6,1,8,7]=>[6,3,2,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[4,3,2,5,6,1,8,7]=>[6,4,2,3,5,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[3,4,2,5,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>[2,4,3,5,6,1,8,7]=>[6,2,4,3,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]
[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,1,8,7]=>[6,2,3,4,5,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[1,6,5,4,3,2,8,7]=>[1,6,2,3,4,5,8,7]=>[[1,2,4,5,6,7],[3,8]]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[1,3,4,6,5,2,8,7]=>[1,6,3,4,2,5,8,7]=>[[1,2,4,6,7],[3,8],[5]]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[2,1,6,3,4,5,8,7]=>[[1,3,5,6,7],[2,4,8]]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[2,1,6,3,5,4,8,7]=>[[1,3,5,7],[2,4,8],[6]]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,7]=>[2,1,6,4,3,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[2,1,5,4,6,3,8,7]=>[2,1,6,5,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[1,2,6,5,4,3,8,7]=>[1,2,6,3,4,5,8,7]=>[[1,2,3,5,6,7],[4,8]]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[3,2,1,6,5,4,8,7]=>[3,1,2,6,4,5,8,7]=>[[1,3,4,6,7],[2,5,8]]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[2,3,1,5,6,4,8,7]=>[3,2,1,6,5,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[1,3,2,5,6,4,8,7]=>[1,3,2,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[2,1,3,6,5,4,8,7]=>[2,1,3,6,4,5,8,7]=>[[1,3,4,6,7],[2,5,8]]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[1,2,3,6,5,4,8,7]=>[1,2,3,6,4,5,8,7]=>[[1,2,3,4,6,7],[5,8]]
[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[[1,2,3,4,7],[5,8],[6]]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[4,1,2,3,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[4,1,3,2,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[4,2,1,3,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[[1,5,7],[2,6,8],[3],[4]]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[1,4,3,2,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[3,2,1,4,6,5,8,7]=>[3,1,2,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]
[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[[1,2,3,4,5,7],[6,8]]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[5,4,3,2,1,6,8,7]=>[5,1,2,3,4,6,8,7]=>[[1,3,4,5,6,7],[2,8]]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[4,5,3,2,1,6,8,7]=>[5,1,2,4,3,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>[3,5,4,2,1,6,8,7]=>[5,1,3,2,4,6,8,7]=>[[1,3,5,6,7],[2,8],[4]]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[4,3,5,2,1,6,8,7]=>[5,1,4,3,2,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[3,4,5,2,1,6,8,7]=>[5,1,3,4,2,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[3,2,5,4,1,6,8,7]=>[5,3,2,1,4,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]]=>[4,3,2,5,1,6,8,7]=>[5,4,2,3,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]
[[[.,[[.,[[.,.],.]],.]],.],[.,.]]=>[3,4,2,5,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>[2,4,3,5,1,6,8,7]=>[5,2,4,3,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]
[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>[2,3,4,5,1,6,8,7]=>[5,2,3,4,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[1,5,4,3,2,6,8,7]=>[1,5,2,3,4,6,8,7]=>[[1,2,4,5,6,7],[3,8]]
[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>[1,4,5,3,2,6,8,7]=>[1,5,2,4,3,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[1,3,5,4,2,6,8,7]=>[1,5,3,2,4,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[2,1,5,4,3,6,8,7]=>[2,1,5,3,4,6,8,7]=>[[1,3,5,6,7],[2,4,8]]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[1,2,5,4,3,6,8,7]=>[1,2,5,3,4,6,8,7]=>[[1,2,3,5,6,7],[4,8]]
[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[1,2,4,5,3,6,8,7]=>[1,2,5,4,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[3,2,1,5,4,6,8,7]=>[3,1,2,5,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]
[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>[4,1,2,3,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[3,2,4,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[1,4,3,2,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]
[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>[[1,3,5,6,7],[2,4,8]]
[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[3,2,1,4,5,6,8,7]=>[3,1,2,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]
[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[2,3,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]
[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]
[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]
[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[7,1,2,3,4,5,6,8]=>[[1,3,4,5,6,7,8],[2]]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[7,1,2,3,4,6,5,8]=>[[1,3,4,5,6,8],[2],[7]]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[5,7,6,4,3,2,1,8]=>[7,1,2,3,5,4,6,8]=>[[1,3,4,5,7,8],[2],[6]]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[7,1,2,3,6,5,4,8]=>[[1,3,4,5,8],[2],[6],[7]]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[7,1,2,3,5,6,4,8]=>[[1,3,4,5,6,8],[2],[7]]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[4,7,6,5,3,2,1,8]=>[7,1,2,4,3,5,6,8]=>[[1,3,4,6,7,8],[2],[5]]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[7,1,2,6,4,5,3,8]=>[[1,3,4,6,8],[2],[5],[7]]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[7,1,2,6,5,4,3,8]=>[[1,3,4,8],[2],[5],[6],[7]]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>[5,4,6,7,3,2,1,8]=>[7,1,2,5,4,6,3,8]=>[[1,3,4,6,8],[2],[5],[7]]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[7,1,2,4,5,6,3,8]=>[[1,3,4,5,6,8],[2],[7]]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[3,7,6,5,4,2,1,8]=>[7,1,3,2,4,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[3,5,7,6,4,2,1,8]=>[7,1,3,2,5,4,6,8]=>[[1,3,5,7,8],[2,6],[4]]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[3,5,6,7,4,2,1,8]=>[7,1,3,2,5,6,4,8]=>[[1,3,5,6,8],[2,7],[4]]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[4,3,7,6,5,2,1,8]=>[7,1,4,3,2,5,6,8]=>[[1,3,6,7,8],[2],[4],[5]]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>[5,6,4,3,7,2,1,8]=>[7,1,6,3,5,4,2,8]=>[[1,3,5,8],[2],[4],[6],[7]]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[7,1,6,5,4,3,2,8]=>[[1,3,8],[2],[4],[5],[6],[7]]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>[3,6,5,4,7,2,1,8]=>[7,1,3,6,4,5,2,8]=>[[1,3,4,6,8],[2],[5],[7]]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>[3,5,6,4,7,2,1,8]=>[7,1,3,6,5,4,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]
[[.,[.,[[[[[.,.],.],.],.],.]]],.]=>[3,4,5,6,7,2,1,8]=>[7,1,3,4,5,6,2,8]=>[[1,3,4,5,6,8],[2],[7]]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[2,7,6,5,4,3,1,8]=>[7,2,1,3,4,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[2,5,7,6,4,3,1,8]=>[7,2,1,3,5,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[2,4,7,6,5,3,1,8]=>[7,2,1,4,3,5,6,8]=>[[1,4,6,7,8],[2,5],[3]]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[2,4,6,7,5,3,1,8]=>[7,2,1,4,3,6,5,8]=>[[1,4,6,8],[2,5,7],[3]]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>[2,5,4,7,6,3,1,8]=>[7,2,1,5,4,3,6,8]=>[[1,4,7,8],[2,5],[3],[6]]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[2,4,5,7,6,3,1,8]=>[7,2,1,4,5,3,6,8]=>[[1,4,5,7,8],[2,6],[3]]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[2,5,6,4,7,3,1,8]=>[7,2,1,6,5,4,3,8]=>[[1,4,8],[2,5],[3],[6],[7]]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[2,5,4,6,7,3,1,8]=>[7,2,1,5,4,6,3,8]=>[[1,4,6,8],[2,5],[3],[7]]
[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[2,4,5,6,7,3,1,8]=>[7,2,1,4,5,6,3,8]=>[[1,4,5,6,8],[2,7],[3]]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[3,2,7,6,5,4,1,8]=>[7,3,2,1,4,5,6,8]=>[[1,5,6,7,8],[2],[3],[4]]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[3,2,6,7,5,4,1,8]=>[7,3,2,1,4,6,5,8]=>[[1,5,6,8],[2,7],[3],[4]]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[3,2,5,7,6,4,1,8]=>[7,3,2,1,5,4,6,8]=>[[1,5,7,8],[2,6],[3],[4]]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[3,2,5,6,7,4,1,8]=>[7,3,2,1,5,6,4,8]=>[[1,5,6,8],[2,7],[3],[4]]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[2,3,7,6,5,4,1,8]=>[7,2,3,1,4,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[2,3,6,7,5,4,1,8]=>[7,2,3,1,4,6,5,8]=>[[1,3,5,6,8],[2,7],[4]]
[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[2,3,5,6,7,4,1,8]=>[7,2,3,1,5,6,4,8]=>[[1,3,5,6,8],[2,7],[4]]
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>[3,4,2,7,6,5,1,8]=>[7,4,3,2,1,5,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[3,4,2,6,7,5,1,8]=>[7,4,3,2,1,6,5,8]=>[[1,6,8],[2,7],[3],[4],[5]]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[2,3,4,7,6,5,1,8]=>[7,2,3,4,1,5,6,8]=>[[1,3,4,6,7,8],[2],[5]]
[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[2,3,4,6,7,5,1,8]=>[7,2,3,4,1,6,5,8]=>[[1,3,4,6,8],[2,7],[5]]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[5,4,3,2,7,6,1,8]=>[7,5,2,3,4,1,6,8]=>[[1,4,5,7,8],[2],[3],[6]]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[4,5,3,2,7,6,1,8]=>[7,5,2,4,3,1,6,8]=>[[1,4,7,8],[2],[3],[5],[6]]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[3,5,4,2,7,6,1,8]=>[7,5,3,2,4,1,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[4,3,5,2,7,6,1,8]=>[7,5,4,3,2,1,6,8]=>[[1,7,8],[2],[3],[4],[5],[6]]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>[2,5,4,3,7,6,1,8]=>[7,2,5,3,4,1,6,8]=>[[1,3,5,7,8],[2],[4],[6]]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,1,8]=>[7,3,2,5,4,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>[2,3,5,4,7,6,1,8]=>[7,2,3,5,4,1,6,8]=>[[1,3,4,7,8],[2],[5],[6]]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[4,3,2,5,7,6,1,8]=>[7,4,2,3,5,1,6,8]=>[[1,4,5,7,8],[2],[3],[6]]
[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[2,3,4,5,7,6,1,8]=>[7,2,3,4,5,1,6,8]=>[[1,3,4,5,7,8],[2],[6]]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>[6,5,4,3,2,7,1,8]=>[7,6,2,3,4,5,1,8]=>[[1,4,5,6,8],[2],[3],[7]]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]=>[5,6,4,3,2,7,1,8]=>[7,6,2,3,5,4,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>[5,4,6,3,2,7,1,8]=>[7,6,2,5,4,3,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>[3,6,5,4,2,7,1,8]=>[7,6,3,2,4,5,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[3,5,6,4,2,7,1,8]=>[7,6,3,2,5,4,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[4,3,6,5,2,7,1,8]=>[7,6,4,3,2,5,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[7,6,5,3,4,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>[3,5,4,6,2,7,1,8]=>[7,6,3,5,4,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.]=>[4,3,5,6,2,7,1,8]=>[7,6,4,3,5,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]
[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]=>[2,6,5,4,3,7,1,8]=>[7,2,6,3,4,5,1,8]=>[[1,3,5,6,8],[2],[4],[7]]
[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>[2,4,5,6,3,7,1,8]=>[7,2,6,4,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]
[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>[2,3,5,6,4,7,1,8]=>[7,2,3,6,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[2,4,3,6,5,7,1,8]=>[7,2,4,3,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]
[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[2,3,4,6,5,7,1,8]=>[7,2,3,4,6,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[3,5,4,2,6,7,1,8]=>[7,5,3,2,4,6,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.]=>[4,3,5,2,6,7,1,8]=>[7,5,4,3,2,6,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]
[[.,[[[.,[[[.,.],.],.]],.],.]],.]=>[3,4,5,2,6,7,1,8]=>[7,5,3,4,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>[2,5,4,3,6,7,1,8]=>[7,2,5,3,4,6,1,8]=>[[1,3,5,6,8],[2],[4],[7]]
[[.,[[[[.,.],[[.,.],.]],.],.]],.]=>[2,4,5,3,6,7,1,8]=>[7,2,5,4,3,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.]=>[3,2,5,4,6,7,1,8]=>[7,3,2,5,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]
[[.,[[[[[.,.],.],[.,.]],.],.]],.]=>[2,3,5,4,6,7,1,8]=>[7,2,3,5,4,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.]=>[4,3,2,5,6,7,1,8]=>[7,4,2,3,5,6,1,8]=>[[1,4,5,6,8],[2],[3],[7]]
[[.,[[[[[[.,.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[1,7,6,5,4,3,2,8]=>[1,7,2,3,4,5,6,8]=>[[1,2,4,5,6,7,8],[3]]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>[1,6,7,5,4,3,2,8]=>[1,7,2,3,4,6,5,8]=>[[1,2,4,5,6,8],[3],[7]]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>[1,5,7,6,4,3,2,8]=>[1,7,2,3,5,4,6,8]=>[[1,2,4,5,7,8],[3],[6]]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>[1,4,7,6,5,3,2,8]=>[1,7,2,4,3,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>[1,5,4,7,6,3,2,8]=>[1,7,2,5,4,3,6,8]=>[[1,2,4,7,8],[3],[5],[6]]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[1,4,5,7,6,3,2,8]=>[1,7,2,4,5,3,6,8]=>[[1,2,4,5,7,8],[3],[6]]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.]=>[1,5,6,4,7,3,2,8]=>[1,7,2,6,5,4,3,8]=>[[1,2,4,8],[3],[5],[6],[7]]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>[1,4,6,5,7,3,2,8]=>[1,7,2,4,6,5,3,8]=>[[1,2,4,5,8],[3],[6],[7]]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[1,5,4,6,7,3,2,8]=>[1,7,2,5,4,6,3,8]=>[[1,2,4,6,8],[3],[5],[7]]
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[1,4,5,6,7,3,2,8]=>[1,7,2,4,5,6,3,8]=>[[1,2,4,5,6,8],[3],[7]]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[1,3,7,6,5,4,2,8]=>[1,7,3,2,4,5,6,8]=>[[1,2,5,6,7,8],[3],[4]]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>[1,3,6,7,5,4,2,8]=>[1,7,3,2,4,6,5,8]=>[[1,2,5,6,8],[3,7],[4]]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[1,3,5,7,6,4,2,8]=>[1,7,3,2,5,4,6,8]=>[[1,2,5,7,8],[3,6],[4]]
[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>[1,3,5,6,7,4,2,8]=>[1,7,3,2,5,6,4,8]=>[[1,2,5,6,8],[3,7],[4]]
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>[1,4,3,7,6,5,2,8]=>[1,7,4,3,2,5,6,8]=>[[1,2,6,7,8],[3],[4],[5]]
[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[1,3,4,6,7,5,2,8]=>[1,7,3,4,2,6,5,8]=>[[1,2,4,6,8],[3,7],[5]]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[1,4,5,3,7,6,2,8]=>[1,7,5,4,3,2,6,8]=>[[1,2,7,8],[3],[4],[5],[6]]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[1,3,5,4,7,6,2,8]=>[1,7,3,5,4,2,6,8]=>[[1,2,4,7,8],[3],[5],[6]]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[1,6,5,4,3,7,2,8]=>[1,7,6,3,4,5,2,8]=>[[1,2,5,6,8],[3],[4],[7]]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>[1,5,6,4,3,7,2,8]=>[1,7,6,3,5,4,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]
[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>[1,4,5,6,3,7,2,8]=>[1,7,6,4,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]
[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[1,3,5,6,4,7,2,8]=>[1,7,3,6,5,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]
[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[1,4,5,3,6,7,2,8]=>[1,7,5,4,3,6,2,8]=>[[1,2,6,8],[3],[4],[5],[7]]
[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>[1,3,5,4,6,7,2,8]=>[1,7,3,5,4,6,2,8]=>[[1,2,4,6,8],[3],[5],[7]]
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[[1,2,4,5,6,8],[3],[7]]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[2,1,7,6,5,4,3,8]=>[2,1,7,3,4,5,6,8]=>[[1,3,5,6,7,8],[2,4]]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[2,1,5,6,4,7,3,8]=>[2,1,7,6,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[1,2,7,6,5,4,3,8]=>[1,2,7,3,4,5,6,8]=>[[1,2,3,5,6,7,8],[4]]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>[1,2,6,7,5,4,3,8]=>[1,2,7,3,4,6,5,8]=>[[1,2,3,5,6,8],[4],[7]]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[1,2,5,7,6,4,3,8]=>[1,2,7,3,5,4,6,8]=>[[1,2,3,5,7,8],[4],[6]]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[1,2,4,7,6,5,3,8]=>[1,2,7,4,3,5,6,8]=>[[1,2,3,6,7,8],[4],[5]]
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[1,2,5,6,4,7,3,8]=>[1,2,7,6,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]
[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[1,2,5,4,6,7,3,8]=>[1,2,7,5,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[3,2,1,7,6,5,4,8]=>[3,1,2,7,4,5,6,8]=>[[1,3,4,6,7,8],[2,5]]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[3,2,1,5,7,6,4,8]=>[3,1,2,7,5,4,6,8]=>[[1,3,4,7,8],[2,5],[6]]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[2,3,1,7,6,5,4,8]=>[3,2,1,7,4,5,6,8]=>[[1,4,6,7,8],[2,5],[3]]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[2,3,1,6,7,5,4,8]=>[3,2,1,7,4,6,5,8]=>[[1,4,6,8],[2,5],[3,7]]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[2,3,1,6,5,7,4,8]=>[3,2,1,7,6,5,4,8]=>[[1,4,8],[2,5],[3,6],[7]]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[1,3,2,7,6,5,4,8]=>[1,3,2,7,4,5,6,8]=>[[1,2,4,6,7,8],[3,5]]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>[1,3,2,6,7,5,4,8]=>[1,3,2,7,4,6,5,8]=>[[1,2,4,6,8],[3,5],[7]]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[1,3,2,5,7,6,4,8]=>[1,3,2,7,5,4,6,8]=>[[1,2,4,7,8],[3,5],[6]]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>[1,3,2,6,5,7,4,8]=>[1,3,2,7,6,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[1,2,3,7,6,5,4,8]=>[1,2,3,7,4,5,6,8]=>[[1,2,3,4,6,7,8],[5]]
[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[1,2,3,6,7,5,4,8]=>[1,2,3,7,4,6,5,8]=>[[1,2,3,4,6,8],[5],[7]]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[1,2,3,5,7,6,4,8]=>[1,2,3,7,5,4,6,8]=>[[1,2,3,4,7,8],[5],[6]]
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[[1,2,3,4,6,8],[5],[7]]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[4,3,2,1,7,6,5,8]=>[4,1,2,3,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[4,3,2,1,6,7,5,8]=>[4,1,2,3,7,6,5,8]=>[[1,3,4,5,8],[2,6],[7]]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[3,2,4,1,7,6,5,8]=>[4,3,2,1,7,5,6,8]=>[[1,5,7,8],[2,6],[3],[4]]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>[3,2,4,1,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>[[1,5,8],[2,6],[3,7],[4]]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[1,4,3,2,7,6,5,8]=>[1,4,2,3,7,5,6,8]=>[[1,2,4,5,7,8],[3,6]]
[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[1,2,4,3,7,6,5,8]=>[1,2,4,3,7,5,6,8]=>[[1,2,3,5,7,8],[4,6]]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[3,2,1,4,7,6,5,8]=>[3,1,2,4,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]
[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]
[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]
[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[1,2,3,4,7,6,5,8]=>[1,2,3,4,7,5,6,8]=>[[1,2,3,4,5,7,8],[6]]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>[3,5,4,2,1,7,6,8]=>[5,1,3,2,4,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>[3,4,5,2,1,7,6,8]=>[5,1,3,4,2,7,6,8]=>[[1,3,4,6,8],[2,7],[5]]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[3,2,5,4,1,7,6,8]=>[5,3,2,1,4,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>[3,4,2,5,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[[1,6,8],[2,7],[3],[4],[5]]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>[2,4,3,5,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[[1,3,6,8],[2,7],[4],[5]]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.]=>[3,2,4,5,1,7,6,8]=>[5,3,2,4,1,7,6,8]=>[[1,4,6,8],[2,7],[3],[5]]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[1,5,4,3,2,7,6,8]=>[1,5,2,3,4,7,6,8]=>[[1,2,4,5,6,8],[3,7]]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>[1,4,5,3,2,7,6,8]=>[1,5,2,4,3,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[1,3,5,4,2,7,6,8]=>[1,5,3,2,4,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[1,4,3,5,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[1,2,5,4,3,7,6,8]=>[1,2,5,3,4,7,6,8]=>[[1,2,3,5,6,8],[4,7]]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[3,2,1,5,4,7,6,8]=>[3,1,2,5,4,7,6,8]=>[[1,3,4,6,8],[2,5,7]]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[[1,2,3,4,6,8],[5,7]]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[4,3,2,1,5,7,6,8]=>[4,1,2,3,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]
[[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>[3,4,2,1,5,7,6,8]=>[4,1,3,2,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>[3,2,4,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]
[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[2,3,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[1,4,3,2,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]
[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]
[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>[3,2,1,4,5,7,6,8]=>[3,1,2,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]
[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]
[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]
[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[[1,2,3,4,5,6,8],[7]]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>[6,1,2,3,4,5,7,8]=>[[1,3,4,5,6,7,8],[2]]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>[5,6,4,3,2,1,7,8]=>[6,1,2,3,5,4,7,8]=>[[1,3,4,5,7,8],[2],[6]]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.]=>[3,5,4,6,2,1,7,8]=>[6,1,3,5,4,2,7,8]=>[[1,3,4,7,8],[2],[5],[6]]
[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[6,1,3,4,5,2,7,8]=>[[1,3,4,5,7,8],[2],[6]]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>[2,4,6,5,3,1,7,8]=>[6,2,1,4,3,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>[2,5,4,6,3,1,7,8]=>[6,2,1,5,4,3,7,8]=>[[1,4,7,8],[2,5],[3],[6]]
[[[.,[[.,.],[[[.,.],.],.]]],.],.]=>[2,4,5,6,3,1,7,8]=>[6,2,1,4,5,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[2,3,6,5,4,1,7,8]=>[6,2,3,1,4,5,7,8]=>[[1,3,5,6,7,8],[2],[4]]
[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>[2,3,5,6,4,1,7,8]=>[6,2,3,1,5,4,7,8]=>[[1,3,5,7,8],[2,6],[4]]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.]=>[3,4,2,6,5,1,7,8]=>[6,4,3,2,1,5,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.]=>[2,4,3,6,5,1,7,8]=>[6,2,4,3,1,5,7,8]=>[[1,3,6,7,8],[2],[4],[5]]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[6,5,2,3,4,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8]=>[[1,7,8],[2],[3],[4],[5],[6]]
[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>[3,4,5,2,6,1,7,8]=>[6,5,3,4,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>[3,2,5,4,6,1,7,8]=>[6,3,2,5,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]
[[[.,[[[[.,.],.],[.,.]],.]],.],.]=>[2,3,5,4,6,1,7,8]=>[6,2,3,5,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]
[[[.,[[[.,[[.,.],.]],.],.]],.],.]=>[3,4,2,5,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]
[[[.,[[[[[.,.],.],.],.],.]],.],.]=>[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[1,6,5,4,3,2,7,8]=>[1,6,2,3,4,5,7,8]=>[[1,2,4,5,6,7,8],[3]]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>[1,4,6,5,3,2,7,8]=>[1,6,2,4,3,5,7,8]=>[[1,2,4,6,7,8],[3],[5]]
[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>[1,4,5,6,3,2,7,8]=>[1,6,2,4,5,3,7,8]=>[[1,2,4,5,7,8],[3],[6]]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[1,3,6,5,4,2,7,8]=>[1,6,3,2,4,5,7,8]=>[[1,2,5,6,7,8],[3],[4]]
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[1,3,5,6,4,2,7,8]=>[1,6,3,2,5,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[1,4,3,6,5,2,7,8]=>[1,6,4,3,2,5,7,8]=>[[1,2,6,7,8],[3],[4],[5]]
[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>[1,3,4,6,5,2,7,8]=>[1,6,3,4,2,5,7,8]=>[[1,2,4,6,7,8],[3],[5]]
[[[[.,.],[[.,[[.,.],.]],.]],.],.]=>[1,4,5,3,6,2,7,8]=>[1,6,5,4,3,2,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]
[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>[1,3,5,4,6,2,7,8]=>[1,6,3,5,4,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]
[[[[.,.],[[[.,[.,.]],.],.]],.],.]=>[1,4,3,5,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]
[[[[.,.],[[[[.,.],.],.],.]],.],.]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[2,1,4,6,5,3,7,8]=>[2,1,6,4,3,5,7,8]=>[[1,3,6,7,8],[2,4],[5]]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[1,2,6,5,4,3,7,8]=>[1,2,6,3,4,5,7,8]=>[[1,2,3,5,6,7,8],[4]]
[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[1,2,5,6,4,3,7,8]=>[1,2,6,3,5,4,7,8]=>[[1,2,3,5,7,8],[4],[6]]
[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[1,2,4,6,5,3,7,8]=>[1,2,6,4,3,5,7,8]=>[[1,2,3,6,7,8],[4],[5]]
[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>[1,2,5,4,6,3,7,8]=>[1,2,6,5,4,3,7,8]=>[[1,2,3,7,8],[4],[5],[6]]
[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>[[1,2,3,5,7,8],[4],[6]]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>[2,3,1,6,5,4,7,8]=>[3,2,1,6,4,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]
[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[[1,4,7,8],[2,5],[3,6]]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[1,3,2,6,5,4,7,8]=>[1,3,2,6,4,5,7,8]=>[[1,2,4,6,7,8],[3,5]]
[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>[2,1,3,6,5,4,7,8]=>[2,1,3,6,4,5,7,8]=>[[1,3,4,6,7,8],[2,5]]
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[1,2,3,6,5,4,7,8]=>[1,2,3,6,4,5,7,8]=>[[1,2,3,4,6,7,8],[5]]
[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[4,3,2,1,6,5,7,8]=>[4,1,2,3,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>[2,4,3,1,6,5,7,8]=>[4,2,1,3,6,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[3,2,4,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[[1,5,7,8],[2,6],[3],[4]]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[1,4,3,2,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]
[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]
[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]
[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]
[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[[1,2,3,4,5,7,8],[6]]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[[1,3,4,5,6,7,8],[2]]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[5,1,2,4,3,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[3,5,4,2,1,6,7,8]=>[5,1,3,2,4,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[5,1,4,3,2,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[5,1,3,4,2,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[2,5,4,3,1,6,7,8]=>[5,2,1,3,4,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[2,4,5,3,1,6,7,8]=>[5,2,1,4,3,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[3,2,5,4,1,6,7,8]=>[5,3,2,1,4,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]
[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[2,3,5,4,1,6,7,8]=>[5,2,3,1,4,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[5,4,2,3,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]
[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[2,4,3,5,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[1,5,4,3,2,6,7,8]=>[1,5,2,3,4,6,7,8]=>[[1,2,4,5,6,7,8],[3]]
[[[[[.,.],[.,[[.,.],.]]],.],.],.]=>[1,4,5,3,2,6,7,8]=>[1,5,2,4,3,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[1,3,5,4,2,6,7,8]=>[1,5,3,2,4,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]
[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[1,4,3,5,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]
[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[2,1,5,4,3,6,7,8]=>[2,1,5,3,4,6,7,8]=>[[1,3,5,6,7,8],[2,4]]
[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[2,1,4,5,3,6,7,8]=>[2,1,5,4,3,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]
[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[1,2,5,4,3,6,7,8]=>[1,2,5,3,4,6,7,8]=>[[1,2,3,5,6,7,8],[4]]
[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]
[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[2,3,1,5,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]
[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[2,4,3,1,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]
[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[1,4,3,2,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]
[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]
[[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[9,8,7,6,5,4,3,2,1]=>[9,1,2,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8,9],[2]]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[8,9,7,6,5,4,3,2,1]=>[9,1,2,3,4,5,6,8,7]=>[[1,3,4,5,6,7,8],[2],[9]]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>[7,8,9,6,5,4,3,2,1]=>[9,1,2,3,4,5,7,8,6]=>[[1,3,4,5,6,7,8],[2],[9]]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,2,1]=>[9,1,3,4,5,6,7,8,2]=>[[1,3,4,5,6,7,8],[2],[9]]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[10,9,8,7,6,5,4,3,2,1]=>[10,1,2,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9,10],[2]]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[9,10,8,7,6,5,4,3,2,1]=>[10,1,2,3,4,5,6,7,9,8]=>[[1,3,4,5,6,7,8,9],[2],[10]]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>[7,9,8,6,5,4,3,2,1]=>[9,1,2,3,4,5,7,6,8]=>[[1,3,4,5,6,7,9],[2],[8]]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>[6,7,8,9,10,5,4,3,2,1]=>[10,1,2,3,4,6,7,8,9,5]=>[[1,3,4,5,6,7,8,9],[2],[10]]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,10,2,1]=>[10,1,3,4,5,6,7,8,9,2]=>[[1,3,4,5,6,7,8,9],[2],[10]]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[[1,2,4,5,6,7,8],[3],[9]]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[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]=>[9,1,2,3,4,5,8,7,6]=>[[1,3,4,5,6,7],[2],[8],[9]]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]=>[8,7,6,9,5,4,3,2,1]=>[9,1,2,3,4,8,6,7,5]=>[[1,3,4,5,6,8],[2],[7],[9]]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]=>[8,7,6,5,9,4,3,2,1]=>[9,1,2,3,8,5,6,7,4]=>[[1,3,4,5,7,8],[2],[6],[9]]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>[8,7,6,5,4,9,3,2,1]=>[9,1,2,8,4,5,6,7,3]=>[[1,3,4,6,7,8],[2],[5],[9]]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>[8,7,6,5,4,3,9,2,1]=>[9,1,8,3,4,5,6,7,2]=>[[1,3,5,6,7,8],[2],[4],[9]]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[8,7,6,5,4,3,2,9,1]=>[9,8,2,3,4,5,6,7,1]=>[[1,4,5,6,7,8],[2],[3],[9]]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[8,7,6,5,4,3,2,1,9]=>[8,1,2,3,4,5,6,7,9]=>[[1,3,4,5,6,7,8,9],[2]]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[9,8,10,7,6,5,4,3,2,1]=>[10,1,2,3,4,5,6,9,8,7]=>[[1,3,4,5,6,7,8],[2],[9],[10]]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]=>[9,8,7,10,6,5,4,3,2,1]=>[10,1,2,3,4,5,9,7,8,6]=>[[1,3,4,5,6,7,9],[2],[8],[10]]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>[9,8,7,6,10,5,4,3,2,1]=>[10,1,2,3,4,9,6,7,8,5]=>[[1,3,4,5,6,8,9],[2],[7],[10]]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>[9,8,7,6,5,10,4,3,2,1]=>[10,1,2,3,9,5,6,7,8,4]=>[[1,3,4,5,7,8,9],[2],[6],[10]]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>[9,8,7,6,5,4,10,3,2,1]=>[10,1,2,9,4,5,6,7,8,3]=>[[1,3,4,6,7,8,9],[2],[5],[10]]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>[9,8,7,6,5,4,3,10,2,1]=>[10,1,9,3,4,5,6,7,8,2]=>[[1,3,5,6,7,8,9],[2],[4],[10]]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[1,8,7,6,5,4,3,2,9]=>[1,8,2,3,4,5,6,7,9]=>[[1,2,4,5,6,7,8,9],[3]]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[9,8,7,6,5,4,3,2,10,1]=>[10,9,2,3,4,5,6,7,8,1]=>[[1,4,5,6,7,8,9],[2],[3],[10]]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>[9,8,7,6,5,4,3,2,1,10]=>[9,1,2,3,4,5,6,7,8,10]=>[[1,3,4,5,6,7,8,9,10],[2]]
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]]=>[1,5,6,4,7,3,9,10,8,2]=>[1,10,7,6,5,4,3,2,9,8]=>[[1,2,9],[3,10],[4],[5],[6],[7],[8]]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]]=>[2,3,1,7,8,6,9,5,10,4]=>[3,2,1,10,9,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]=>[3,4,2,5,1,8,9,7,10,6]=>[5,4,3,2,1,10,9,8,7,6]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]]=>[4,5,3,6,2,7,1,9,10,8]=>[7,6,5,4,3,2,1,10,9,8]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]=>[2,6,7,5,8,4,9,3,1,10]=>[9,2,1,8,7,6,5,4,3,10]=>[[1,4,10],[2,5],[3],[6],[7],[8],[9]]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[[.,.],[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]]=>[1,7,8,6,9,5,10,4,11,3,12,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]
[[.,[[.,.],.]],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]=>[2,3,1,8,9,7,10,6,11,5,12,4]=>[3,2,1,12,11,10,9,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10],[11],[12]]
[[.,[[.,[[.,.],.]],.]],[[.,[[.,[[.,.],.]],.]],.]]=>[3,4,2,5,1,9,10,8,11,7,12,6]=>[5,4,3,2,1,12,11,10,9,8,7,6]=>[[1,6],[2,7],[3,8],[4,9],[5,10],[11],[12]]
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,[[.,.],.]],.]]=>[4,5,3,6,2,7,1,10,11,9,12,8]=>[7,6,5,4,3,2,1,12,11,10,9,8]=>[[1,8],[2,9],[3,10],[4,11],[5,12],[6],[7]]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],[[.,.],.]]=>[5,6,4,7,3,8,2,9,1,11,12,10]=>[9,8,7,6,5,4,3,2,1,12,11,10]=>[[1,10],[2,11],[3,12],[4],[5],[6],[7],[8],[9]]
[[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.]=>[6,7,5,8,4,9,3,10,2,11,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[[1,12],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11]]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9]]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[[1,2,3,4,5,6,7,8,9],[10]]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]=>[[1,3,4,5,6,7,8],[2,9]]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3],[9]]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[[1,2,3,4,5,6,7,8,9,10],[11]]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>[[1,3,4,5,6,7,8,9],[2,10]]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8]=>[[1,2,4,5,6,7,8],[3,9]]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[3,4,2,5,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]=>[[1,5,6,7,8],[2],[3],[4],[9]]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,10,1]=>[10,3,2,4,5,6,7,8,9,1]=>[[1,4,5,6,7,8,9],[2],[3],[10]]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1]=>[[1,3,4,5,6,7,8,9,10],[2],[11]]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[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]]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6]=>[[1,2,3,4,5,6,8],[7],[9]]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5]=>[[1,2,3,4,5,7,8],[6],[9]]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[[1,2,3,4,6,7,8],[5],[9]]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[[1,2,3,5,6,7,8],[4],[9]]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,9,7,8]=>[[1,2,3,4,5,6,7,9],[8]]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,9,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9]]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7]=>[[1,2,3,4,5,6,7,9],[8],[10]]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,9,7,6,8,5]=>[[1,2,3,4,5,8],[6],[7],[9]]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6]=>[[1,2,3,4,5,6,8,9],[7],[10]]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,3,6,5,7,8,9,4]=>[1,2,3,9,6,5,7,8,4]=>[[1,2,3,4,7,8],[5],[6],[9]]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5]=>[[1,2,3,4,5,7,8,9],[6],[10]]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]]=>[1,2,5,4,6,7,8,9,3]=>[1,2,9,5,4,6,7,8,3]=>[[1,2,3,6,7,8],[4],[5],[9]]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4]=>[[1,2,3,4,6,7,8,9],[5],[10]]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>[1,4,3,5,6,7,8,9,2]=>[1,9,4,3,5,6,7,8,2]=>[[1,2,5,6,7,8],[3],[4],[9]]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]=>[[1,2,3,5,6,7,8,9],[4],[10]]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8,9],[3],[10]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[1,9,8,7,6,5,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[[1,2,4,5,6,7,8,9],[3]]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>[7,8,6,5,4,3,2,1,9]=>[8,1,2,3,4,5,7,6,9]=>[[1,3,4,5,6,7,9],[2],[8]]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[1,8,9,7,6,5,4,3,2]=>[1,9,2,3,4,5,6,8,7]=>[[1,2,4,5,6,7,8],[3],[9]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9,10],[3]]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,1,2,3,4,5,6,7,8,9,11]=>[[1,3,4,5,6,7,8,9,10,11],[2]]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>[8,9,7,6,5,4,3,2,1,10]=>[9,1,2,3,4,5,6,8,7,10]=>[[1,3,4,5,6,7,8,10],[2],[9]]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]=>[7,6,8,5,4,3,2,1,9]=>[8,1,2,3,4,7,6,5,9]=>[[1,3,4,5,6,9],[2],[7],[8]]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[1,8,7,9,6,5,4,3,2]=>[1,9,2,3,4,5,8,7,6]=>[[1,2,4,5,6,7],[3],[8],[9]]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[1,9,10,8,7,6,5,4,3,2]=>[1,10,2,3,4,5,6,7,9,8]=>[[1,2,4,5,6,7,8,9],[3],[10]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,2,3,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10,11],[3]]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[2,1,7,6,8,5,9,4,10,3]=>[2,1,10,9,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]]=>[3,2,4,1,8,7,9,6,10,5]=>[4,3,2,1,10,9,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,4,3,8,7,9,6,10,5]=>[2,1,4,3,10,9,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8],[9],[10]]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]=>[4,3,5,2,6,1,9,8,10,7]=>[6,5,4,3,2,1,10,9,8,7]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3,9,8,10,7]=>[2,1,6,5,4,3,10,9,8,7]=>[[1,3,7],[2,4,8],[5,9],[6,10]]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,6,5,9,8,10,7]=>[2,1,4,3,6,5,10,9,8,7]=>[[1,3,5,7],[2,4,6,8],[9],[10]]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]=>[5,4,6,3,7,2,8,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,7,6,8,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[[1,5,9],[2,6,10],[3,7],[4,8]]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]]=>[4,3,5,2,6,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[[1,7,9],[2,8,10],[3],[4],[5],[6]]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[[1,5,7,9],[2,6,8,10],[3],[4]]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1,10,9,11,8,12,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[2,1,9,8,7,6,5,4,3]=>[2,1,9,3,4,5,6,7,8]=>[[1,3,5,6,7,8,9],[2,4]]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>[3,2,1,9,8,7,6,5,4]=>[3,1,2,9,4,5,6,7,8]=>[[1,3,4,6,7,8,9],[2,5]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>[4,3,2,1,9,8,7,6,5]=>[4,1,2,3,9,5,6,7,8]=>[[1,3,4,5,7,8,9],[2,6]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>[5,4,3,2,1,9,8,7,6]=>[5,1,2,3,4,9,6,7,8]=>[[1,3,4,5,6,8,9],[2,7]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>[6,5,4,3,2,1,9,8,7]=>[6,1,2,3,4,5,9,7,8]=>[[1,3,4,5,6,7,9],[2,8]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[7,6,5,4,3,2,1,9,8]=>[7,1,2,3,4,5,6,9,8]=>[[1,3,4,5,6,7,8],[2,9]]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,2,9,8,7,6,5,4,3]=>[1,2,9,3,4,5,6,7,8]=>[[1,2,3,5,6,7,8,9],[4]]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,3,4,5,6,7,8,9]=>[[1,3,5,6,7,8,9,10],[2,4]]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[3,2,1,10,9,8,7,6,5,4]=>[3,1,2,10,4,5,6,7,8,9]=>[[1,3,4,6,7,8,9,10],[2,5]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>[4,3,2,1,10,9,8,7,6,5]=>[4,1,2,3,10,5,6,7,8,9]=>[[1,3,4,5,7,8,9,10],[2,6]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1,10,9,8,7,6]=>[5,1,2,3,4,10,6,7,8,9]=>[[1,3,4,5,6,8,9,10],[2,7]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>[6,5,4,3,2,1,10,9,8,7]=>[6,1,2,3,4,5,10,7,8,9]=>[[1,3,4,5,6,7,9,10],[2,8]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>[7,6,5,4,3,2,1,10,9,8]=>[7,1,2,3,4,5,6,10,8,9]=>[[1,3,4,5,6,7,8,10],[2,9]]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[8,7,6,5,4,3,2,1,10,9]=>[8,1,2,3,4,5,6,7,10,9]=>[[1,3,4,5,6,7,8,9],[2,10]]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[7,6,5,4,3,2,1,8,9]=>[7,1,2,3,4,5,6,8,9]=>[[1,3,4,5,6,7,8,9],[2]]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[6,5,4,3,2,1,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[5,4,3,2,1,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>[8,7,6,5,4,3,2,1,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>[7,6,5,4,3,2,1,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]
[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]=>[1,7,6,5,4,3,2,8,9]=>[1,7,2,3,4,5,6,8,9]=>[[1,2,4,5,6,7,8,9],[3]]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>[6,5,4,3,2,1,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>[5,4,3,2,1,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]=>[1,4,3,2,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>[3,9,8,7,6,5,4,2,1]=>[9,1,3,2,4,5,6,7,8]=>[[1,3,5,6,7,8,9],[2],[4]]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[2,9,8,7,6,5,4,3,1]=>[9,2,1,3,4,5,6,7,8]=>[[1,4,5,6,7,8,9],[2],[3]]
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>[6,10,9,8,7,5,4,3,2,1]=>[10,1,2,3,4,6,5,7,8,9]=>[[1,3,4,5,6,8,9,10],[2],[7]]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,7,9,8,1]=>[9,2,3,4,5,6,7,1,8]=>[[1,3,4,5,6,7,9],[2],[8]]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[[1,3,4,5,6,7,8,9,10,11],[2]]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]=>[2,1,3,4,5,6,8,7,9]=>[2,1,3,4,5,6,8,7,9]=>[[1,3,4,5,6,7,9],[2,8]]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,7,8,10,9,1]=>[10,2,3,4,5,6,7,8,1,9]=>[[1,3,4,5,6,7,8,10],[2],[9]]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2,4]]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>[[1,3,4,5,6,7,9],[2],[8]]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>[[1,3,4,5,6,8,9],[2],[7]]
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,9,1,10]=>[9,2,3,4,5,6,7,8,1,10]=>[[1,3,4,5,6,7,8,10],[2],[9]]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>[[1,2,3,5,6,7,8,9],[4]]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>[[1,2,3,4,6,7,8,9],[5]]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>[[1,2,3,4,5,7,8,9],[6]]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9]=>[[1,2,3,4,5,6,8,9],[7]]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]=>[[1,2,3,4,5,6,7,9],[8]]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[[1,2,3,4,5,6,7,8,10],[9]]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[1,7,6,5,4,3,2,9,8]=>[1,7,2,3,4,5,6,9,8]=>[[1,2,4,5,6,7,8],[3,9]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]=>[6,5,4,3,2,1,8,9,7]=>[6,1,2,3,4,5,9,8,7]=>[[1,3,4,5,6,7],[2,8],[9]]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[[1,2,3,4,5,6,7,8,9,10,11]]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[1,2,10,9,8,7,6,5,4,3]=>[1,2,10,3,4,5,6,7,8,9]=>[[1,2,3,5,6,7,8,9,10],[4]]
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>[2,1,8,7,6,5,4,3,9]=>[2,1,8,3,4,5,6,7,9]=>[[1,3,5,6,7,8,9],[2,4]]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[1,9,8,7,6,5,4,3,2,10]=>[1,9,2,3,4,5,6,7,8,10]=>[[1,2,4,5,6,7,8,9,10],[3]]
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.]=>[1,3,2,5,4,6,7,8,9]=>[1,3,2,5,4,6,7,8,9]=>[[1,2,4,6,7,8,9],[3,5]]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>[2,1,4,5,6,7,8,9,3]=>[2,1,9,4,5,6,7,8,3]=>[[1,3,5,6,7,8],[2,4],[9]]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,10,8,9]=>[[1,2,3,4,5,6,7,8,10],[9]]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,9,6,7,8]=>[[1,2,3,4,5,6,8,9],[7]]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,4,9,8,7,6,5]=>[1,2,3,4,9,5,6,7,8]=>[[1,2,3,4,5,7,8,9],[6]]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,3,9,8,7,6,5,4]=>[1,2,3,9,4,5,6,7,8]=>[[1,2,3,4,6,7,8,9],[5]]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]=>[[1,2,3,4,5,6,8],[7,9]]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,5,6,10,9,8,7]=>[1,2,3,4,5,6,10,7,8,9]=>[[1,2,3,4,5,6,7,9,10],[8]]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,4,5,10,9,8,7,6]=>[1,2,3,4,5,10,6,7,8,9]=>[[1,2,3,4,5,6,8,9,10],[7]]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,3,4,10,9,8,7,6,5]=>[1,2,3,4,10,5,6,7,8,9]=>[[1,2,3,4,5,7,8,9,10],[6]]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,2,3,10,9,8,7,6,5,4]=>[1,2,3,10,4,5,6,7,8,9]=>[[1,2,3,4,6,7,8,9,10],[5]]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>[[1,2,3,4,5,6,7,9],[8,10]]
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.]=>[3,4,2,5,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.]=>[2,3,1,5,4,6,7,8,9]=>[3,2,1,5,4,6,7,8,9]=>[[1,4,6,7,8,9],[2,5],[3]]
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,3,9,8,7,6,5,4,1]=>[9,2,3,1,4,5,6,7,8]=>[[1,3,5,6,7,8,9],[2],[4]]
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]=>[2,8,7,6,5,4,3,1,9]=>[8,2,1,3,4,5,6,7,9]=>[[1,4,5,6,7,8,9],[2],[3]]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,7,1,9,8]=>[7,2,3,4,5,6,1,9,8]=>[[1,3,4,5,6,8],[2,9],[7]]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]=>[1,3,4,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]
[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]]=>[1,4,5,6,7,8,3,9,2]=>[1,9,8,4,5,6,7,3,2]=>[[1,2,5,6,7],[3],[4],[8],[9]]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11]=>[[1,2,3,4,5,6,7,8,9,11],[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
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
Map
Robinson-Schensted recording tableau
Description
Sends a permutation to its Robinson-Schensted recording 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 recording 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 recording tableau.
searching the database
Sorry, this map was not found in the database.