Identifier
Mp00081:
Standard tableaux
—reading word permutation⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00064: Permutations —reverse⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
=>
Cc0007;cc-rep-0Cc0010;cc-rep-3
[[1]]=>[1]=>[1]=>[.,.]
[[1,2]]=>[1,2]=>[2,1]=>[[.,.],.]
[[1],[2]]=>[2,1]=>[1,2]=>[.,[.,.]]
[[1,2,3]]=>[1,2,3]=>[3,2,1]=>[[[.,.],.],.]
[[1,3],[2]]=>[2,1,3]=>[3,1,2]=>[[.,[.,.]],.]
[[1,2],[3]]=>[3,1,2]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[3]]=>[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,3,4]]=>[1,2,3,4]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[[1,3,4],[2]]=>[2,1,3,4]=>[4,3,1,2]=>[[[.,[.,.]],.],.]
[[1,2,4],[3]]=>[3,1,2,4]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,2,3],[4]]=>[4,1,2,3]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[[1,3],[2,4]]=>[2,4,1,3]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,2],[3,4]]=>[3,4,1,2]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[[1,4],[2],[3]]=>[3,2,1,4]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,3],[2],[4]]=>[4,2,1,3]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,2],[3],[4]]=>[4,3,1,2]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1],[2],[3],[4]]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,3,4,5]]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[[1,3,4,5],[2]]=>[2,1,3,4,5]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[[1,2,4,5],[3]]=>[3,1,2,4,5]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[[1,2,3,5],[4]]=>[4,1,2,3,5]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[[1,2,3,4],[5]]=>[5,1,2,3,4]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[[1,2,5],[3,4]]=>[3,4,1,2,5]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[[1,3,4],[2,5]]=>[2,5,1,3,4]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[[1,2,4],[3,5]]=>[3,5,1,2,4]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[[1,2,3],[4,5]]=>[4,5,1,2,3]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]
[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[5,3,1,2,4]=>[[[.,[.,.]],[.,.]],.]
[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[4,3,1,2,5]=>[[[.,[.,.]],.],[.,.]]
[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[4,1,5,2,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>[2,1,5,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]
[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],.]
[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]
[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]
[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]
[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],.]
[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],.]
[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],.]
[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],.]
[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],.]
[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],.]
[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,.]]
[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,.]]
[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]
[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],.]
[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],.]
[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]
[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],.]
[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>[[[.,[.,.]],.],[[.,.],.]]
[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],.]]
[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,[.,.]],.]]
[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[.,.]]
[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],.]
[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],.]
[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],.]
[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]
[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],.]
[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]
[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]
[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]
[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]
[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>[8,7,6,5,3,1,4,2]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]
[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>[8,7,6,4,3,1,5,2]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[8,7,6,4,2,1,5,3]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>[8,7,6,3,2,1,5,4]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>[8,7,5,4,3,1,6,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>[8,7,5,4,2,1,6,3]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[8,7,5,3,2,1,6,4]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[[1,2,3,4,7,8],[5,6]]=>[5,6,1,2,3,4,7,8]=>[8,7,4,3,2,1,6,5]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,2]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>[8,6,5,4,2,1,7,3]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[8,6,5,3,2,1,7,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[8,6,4,3,2,1,7,5]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>[8,5,4,3,2,1,7,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>[7,6,5,4,3,1,8,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>[7,6,5,4,2,1,8,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>[7,6,4,3,2,1,8,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,4]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
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[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
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[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>[7,6,5,2,1,8,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>[7,6,4,3,1,8,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
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[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>[6,5,4,3,1,8,7,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>[6,5,3,2,1,8,7,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>[6,4,3,2,1,8,7,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>[8,7,6,4,1,5,2,3]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>[8,7,6,3,1,5,2,4]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>[8,7,6,2,1,5,3,4]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]
[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>[8,7,6,3,1,4,2,5]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>[8,7,6,2,1,4,3,5]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]
[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>[8,7,5,4,1,6,2,3]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[[1,3,4,7,8],[2,6],[5]]=>[5,2,6,1,3,4,7,8]=>[8,7,4,3,1,6,2,5]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[[1,2,4,7,8],[3,6],[5]]=>[5,3,6,1,2,4,7,8]=>[8,7,4,2,1,6,3,5]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[[1,2,3,7,8],[4,6],[5]]=>[5,4,6,1,2,3,7,8]=>[8,7,3,2,1,6,4,5]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]
[[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>[8,7,5,3,1,4,2,6]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
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[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>[8,7,4,2,1,5,3,6]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[[1,2,3,7,8],[4,5],[6]]=>[6,4,5,1,2,3,7,8]=>[8,7,3,2,1,5,4,6]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[[1,4,5,6,8],[2,7],[3]]=>[3,2,7,1,4,5,6,8]=>[8,6,5,4,1,7,2,3]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]
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[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>[8,6,3,2,1,7,4,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>[8,5,4,3,1,7,2,6]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]
[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[8,5,4,2,1,7,3,6]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
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[[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>[8,6,3,2,1,5,4,7]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
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[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>[5,4,3,2,1,8,6,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]
[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2,8]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
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[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4,8]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
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[[1,2,3,5,7],[4,6],[8]]=>[8,4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,8]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]
[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
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[[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
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[[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>[8,7,5,2,1,3,4,6]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
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[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
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[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5,8]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[[1,3,4,5,7],[2],[6],[8]]=>[8,6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6,8]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[[1,2,4,5,6],[3],[7],[8]]=>[8,7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]
[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>[7,5,2,1,8,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>[7,4,2,1,8,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>[7,3,2,1,8,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>[6,5,3,1,8,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>[6,4,3,1,8,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>[6,3,2,1,8,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>[5,4,3,1,8,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>[5,4,2,1,8,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>[8,6,3,1,7,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>[8,6,3,1,7,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[[1,4,5,8],[2,6,7],[3]]=>[3,2,6,7,1,4,5,8]=>[8,5,4,1,7,6,2,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[[1,2,5,8],[3,6,7],[4]]=>[4,3,6,7,1,2,5,8]=>[8,5,2,1,7,6,3,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>[8,4,2,1,7,6,3,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>[8,3,2,1,7,6,4,5]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]
[[1,3,5,8],[2,4,7],[6]]=>[6,2,4,7,1,3,5,8]=>[8,5,3,1,7,4,2,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[[1,2,5,8],[3,4,7],[6]]=>[6,3,4,7,1,2,5,8]=>[8,5,2,1,7,4,3,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>[8,4,3,1,7,5,2,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>[8,4,2,1,7,5,3,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>[8,5,3,1,6,4,2,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>[8,5,2,1,6,4,3,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>[8,4,2,1,6,5,3,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>[7,6,4,1,8,5,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>[7,6,3,1,8,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>[7,6,2,1,8,5,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]
[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>[7,6,3,1,8,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[[1,2,6,7],[3,4,8],[5]]=>[5,3,4,8,1,2,6,7]=>[7,6,2,1,8,4,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>[7,5,3,1,8,6,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>[7,5,2,1,8,6,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>[7,4,3,1,8,6,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[[1,2,4,7],[3,6,8],[5]]=>[5,3,6,8,1,2,4,7]=>[7,4,2,1,8,6,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[[1,2,3,7],[4,6,8],[5]]=>[5,4,6,8,1,2,3,7]=>[7,3,2,1,8,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>[7,5,3,1,8,4,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>[7,5,2,1,8,4,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>[7,4,3,1,8,5,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>[7,4,2,1,8,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>[7,3,2,1,8,5,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>[6,5,4,1,8,7,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>[6,5,2,1,8,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>[6,4,2,1,8,7,3,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[[1,2,3,6],[4,7,8],[5]]=>[5,4,7,8,1,2,3,6]=>[6,3,2,1,8,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>[5,4,2,1,8,7,3,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]
[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>[6,5,3,1,8,4,2,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>[6,5,2,1,8,4,3,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[[1,3,4,6],[2,5,8],[7]]=>[7,2,5,8,1,3,4,6]=>[6,4,3,1,8,5,2,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>[6,4,2,1,8,5,3,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>[6,3,2,1,8,5,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>[5,3,2,1,8,6,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[[1,2,4,5],[3,6,7],[8]]=>[8,3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>[8,7,4,1,5,2,6,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>[8,7,2,1,5,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[[1,3,7,8],[2,4],[5,6]]=>[5,6,2,4,1,3,7,8]=>[8,7,3,1,4,2,6,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>[8,6,4,1,5,2,7,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>[8,6,3,1,4,2,7,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>[8,5,4,1,6,2,7,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>[8,5,2,1,6,3,7,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[[1,2,3,8],[4,6],[5,7]]=>[5,7,4,6,1,2,3,8]=>[8,3,2,1,6,4,7,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>[8,5,2,1,4,3,7,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[[1,2,4,8],[3,5],[6,7]]=>[6,7,3,5,1,2,4,8]=>[8,4,2,1,5,3,7,6]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[[1,2,3,8],[4,5],[6,7]]=>[6,7,4,5,1,2,3,8]=>[8,3,2,1,5,4,7,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[[1,4,6,7],[2,5],[3,8]]=>[3,8,2,5,1,4,6,7]=>[7,6,4,1,5,2,8,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>[7,6,3,1,5,2,8,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[[1,3,6,7],[2,4],[5,8]]=>[5,8,2,4,1,3,6,7]=>[7,6,3,1,4,2,8,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>[7,6,2,1,4,3,8,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>[7,5,4,1,6,2,8,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[[1,3,4,7],[2,6],[5,8]]=>[5,8,2,6,1,3,4,7]=>[7,4,3,1,6,2,8,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>[7,3,2,1,6,4,8,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>[7,5,2,1,4,3,8,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>[7,3,2,1,5,4,8,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>[6,5,4,1,7,2,8,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>[6,5,3,1,7,2,8,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>[6,4,3,1,7,2,8,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[[1,3,4,5],[2,7],[6,8]]=>[6,8,2,7,1,3,4,5]=>[5,4,3,1,7,2,8,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[[1,2,3,5],[4,7],[6,8]]=>[6,8,4,7,1,2,3,5]=>[5,3,2,1,7,4,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>[6,5,3,1,4,2,8,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>[6,5,2,1,4,3,8,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>[6,4,3,1,5,2,8,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>[6,4,2,1,5,3,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[[1,2,3,6],[4,5],[7,8]]=>[7,8,4,5,1,2,3,6]=>[6,3,2,1,5,4,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[[1,3,4,5],[2,6],[7,8]]=>[7,8,2,6,1,3,4,5]=>[5,4,3,1,6,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>[5,3,2,1,6,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>[8,7,5,1,6,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>[8,7,4,1,6,2,3,5]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[[1,3,7,8],[2,6],[4],[5]]=>[5,4,2,6,1,3,7,8]=>[8,7,3,1,6,2,4,5]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>[8,7,2,1,6,3,4,5]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]
[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>[8,7,3,1,5,2,4,6]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[[1,2,7,8],[3,5],[4],[6]]=>[6,4,3,5,1,2,7,8]=>[8,7,2,1,5,3,4,6]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>[8,7,3,1,4,2,5,6]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[[1,2,7,8],[3,4],[5],[6]]=>[6,5,3,4,1,2,7,8]=>[8,7,2,1,4,3,5,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>[8,6,4,1,7,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[[1,3,6,8],[2,7],[4],[5]]=>[5,4,2,7,1,3,6,8]=>[8,6,3,1,7,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>[8,6,2,1,7,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>[8,5,4,1,7,2,3,6]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>[8,5,3,1,7,2,4,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>[8,5,2,1,7,3,4,6]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>[8,4,2,1,7,3,5,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[[1,2,3,8],[4,7],[5],[6]]=>[6,5,4,7,1,2,3,8]=>[8,3,2,1,7,4,5,6]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>[8,6,4,1,5,2,3,7]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>[8,6,3,1,5,2,4,7]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[[1,2,6,8],[3,5],[4],[7]]=>[7,4,3,5,1,2,6,8]=>[8,6,2,1,5,3,4,7]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[[1,3,6,8],[2,4],[5],[7]]=>[7,5,2,4,1,3,6,8]=>[8,6,3,1,4,2,5,7]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>[8,6,2,1,4,3,5,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>[8,5,4,1,6,2,3,7]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>[8,5,3,1,6,2,4,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>[8,5,2,1,6,3,4,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>[8,4,3,1,6,2,5,7]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>[8,4,2,1,6,3,5,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>[8,3,2,1,6,4,5,7]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[[1,2,5,8],[3,4],[6],[7]]=>[7,6,3,4,1,2,5,8]=>[8,5,2,1,4,3,6,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>[8,4,2,1,5,3,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>[8,3,2,1,5,4,6,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>[7,6,5,1,8,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>[7,6,4,1,8,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[[1,3,6,7],[2,8],[4],[5]]=>[5,4,2,8,1,3,6,7]=>[7,6,3,1,8,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>[7,6,2,1,8,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>[7,5,4,1,8,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>[7,5,2,1,8,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>[7,4,2,1,8,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>[7,3,2,1,8,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>[6,5,3,1,8,2,4,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>[6,5,2,1,8,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[[1,3,4,6],[2,8],[5],[7]]=>[7,5,2,8,1,3,4,6]=>[6,4,3,1,8,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>[6,4,2,1,8,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>[6,3,2,1,8,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[[1,2,4,5],[3,8],[6],[7]]=>[7,6,3,8,1,2,4,5]=>[5,4,2,1,8,3,6,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[[1,2,3,5],[4,8],[6],[7]]=>[7,6,4,8,1,2,3,5]=>[5,3,2,1,8,4,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>[4,3,2,1,8,5,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3,8]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[[1,3,6,7],[2,4],[5],[8]]=>[8,5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5,8]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3,8]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[[1,2,5,7],[3,6],[4],[8]]=>[8,4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[[1,2,3,7],[4,6],[5],[8]]=>[8,5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3,8]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[[1,2,3,5],[4,7],[6],[8]]=>[8,6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>[8,7,4,1,2,3,5,6]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>[8,6,4,1,2,3,5,7]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
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[[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>[8,5,3,1,2,4,6,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
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[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[[1,3,4,7],[2],[5],[6],[8]]=>[8,6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6,8]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6,8]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7,8]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
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[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>[7,4,1,8,5,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,4,6],[2,5,8],[3,7]]=>[3,7,2,5,8,1,4,6]=>[6,4,1,8,5,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>[6,3,1,8,5,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>[6,2,1,8,5,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>[6,3,1,8,4,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>[6,2,1,8,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>[5,4,1,8,6,2,7,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>[5,2,1,8,6,3,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>[4,3,1,8,6,2,7,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[[1,2,4],[3,6,8],[5,7]]=>[5,7,3,6,8,1,2,4]=>[4,2,1,8,6,3,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>[3,2,1,8,6,4,7,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[[1,3,4],[2,5,8],[6,7]]=>[6,7,2,5,8,1,3,4]=>[4,3,1,8,5,2,7,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]
[[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>[3,2,1,8,5,4,7,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>[6,4,1,7,5,2,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>[6,3,1,7,5,2,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>[6,2,1,7,5,3,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>[6,3,1,7,4,2,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[[1,2,6],[3,4,7],[5,8]]=>[5,8,3,4,7,1,2,6]=>[6,2,1,7,4,3,8,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>[5,4,1,7,6,2,8,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>[4,3,1,7,6,2,8,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[[1,2,5],[3,4,7],[6,8]]=>[6,8,3,4,7,1,2,5]=>[5,2,1,7,4,3,8,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>[4,3,1,7,5,2,8,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>[3,2,1,7,5,4,8,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>[5,3,1,6,4,2,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>[4,2,1,6,5,3,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>[7,5,1,8,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>[7,3,1,8,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>[7,2,1,8,6,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]
[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>[7,4,1,8,5,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>[7,2,1,8,5,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>[7,3,1,8,4,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[[1,2,7],[3,4,8],[5],[6]]=>[6,5,3,4,8,1,2,7]=>[7,2,1,8,4,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>[6,5,1,8,7,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>[6,3,1,8,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>[6,2,1,8,7,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>[5,3,1,8,7,2,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>[5,2,1,8,7,3,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>[4,3,1,8,7,2,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[[1,2,4],[3,7,8],[5],[6]]=>[6,5,3,7,8,1,2,4]=>[4,2,1,8,7,3,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>[3,2,1,8,7,4,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]
[[1,4,6],[2,5,8],[3],[7]]=>[7,3,2,5,8,1,4,6]=>[6,4,1,8,5,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[[1,3,5],[2,6,8],[4],[7]]=>[7,4,2,6,8,1,3,5]=>[5,3,1,8,6,2,4,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>[4,3,1,8,6,2,5,7]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>[4,2,1,8,6,3,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>[3,2,1,8,6,4,5,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>[5,3,1,8,4,2,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[[1,3,4],[2,5,8],[6],[7]]=>[7,6,2,5,8,1,3,4]=>[4,3,1,8,5,2,6,7]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]
[[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>[4,2,1,8,5,3,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>[3,2,1,8,5,4,6,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5,8]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[[1,3,4],[2,5,7],[6],[8]]=>[8,6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[8,4,1,6,2,7,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[8,3,1,6,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[8,4,1,5,2,7,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>[8,2,1,5,3,7,4,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[[1,2,8],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2,8]=>[8,2,1,4,3,7,5,6]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[8,4,1,5,2,6,3,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[[1,3,8],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3,8]=>[8,3,1,4,2,6,5,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[7,4,1,6,2,8,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[7,3,1,6,2,8,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>[7,3,1,5,2,8,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>[7,2,1,5,3,8,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>[6,5,1,7,2,8,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>[6,2,1,7,3,8,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[5,3,1,7,2,8,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>[5,2,1,7,3,8,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[[1,2,4],[3,7],[5,8],[6]]=>[6,5,8,3,7,1,2,4]=>[4,2,1,7,3,8,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[[1,2,3],[4,7],[5,8],[6]]=>[6,5,8,4,7,1,2,3]=>[3,2,1,7,4,8,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>[6,4,1,5,2,8,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[[1,3,6],[2,5],[4,8],[7]]=>[7,4,8,2,5,1,3,6]=>[6,3,1,5,2,8,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>[6,2,1,5,3,8,4,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>[6,3,1,4,2,8,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>[6,2,1,4,3,8,5,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>[5,4,1,6,2,8,3,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>[5,3,1,6,2,8,4,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[[1,2,5],[3,6],[4,8],[7]]=>[7,4,8,3,6,1,2,5]=>[5,2,1,6,3,8,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>[4,3,1,6,2,8,5,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>[4,2,1,6,3,8,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>[3,2,1,6,4,8,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[[1,3,5],[2,4],[6,8],[7]]=>[7,6,8,2,4,1,3,5]=>[5,3,1,4,2,8,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[[1,2,5],[3,4],[6,8],[7]]=>[7,6,8,3,4,1,2,5]=>[5,2,1,4,3,8,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>[4,3,1,5,2,8,6,7]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]
[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,3,7],[2,5],[4,6],[8]]=>[8,4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,2,6],[3,5],[4,7],[8]]=>[8,4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,4],[3,6],[5,7],[8]]=>[8,5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[[1,2,3],[4,6],[5,7],[8]]=>[8,5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>[8,6,1,7,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>[8,4,1,7,2,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>[8,3,1,7,2,4,5,6]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>[8,2,1,7,3,4,5,6]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[[1,5,8],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5,8]=>[8,5,1,6,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>[8,4,1,6,2,3,5,7]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>[8,3,1,6,2,4,5,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[[1,2,8],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2,8]=>[8,2,1,6,3,4,5,7]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>[8,4,1,5,2,3,6,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[[1,3,8],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3,8]=>[8,3,1,5,2,4,6,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>[7,6,1,8,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[[1,5,7],[2,8],[3],[4],[6]]=>[6,4,3,2,8,1,5,7]=>[7,5,1,8,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>[7,4,1,8,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>[7,3,1,8,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>[7,2,1,8,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[[1,5,6],[2,8],[3],[4],[7]]=>[7,4,3,2,8,1,5,6]=>[6,5,1,8,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>[6,4,1,8,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>[6,3,1,8,2,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>[5,4,1,8,2,3,6,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[[1,3,5],[2,8],[4],[6],[7]]=>[7,6,4,2,8,1,3,5]=>[5,3,1,8,2,4,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>[5,2,1,8,3,4,6,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>[4,3,1,8,2,5,6,7]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]
[[1,2,4],[3,8],[5],[6],[7]]=>[7,6,5,3,8,1,2,4]=>[4,2,1,8,3,5,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>[3,2,1,8,4,5,6,7]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[[1,4,7],[2,5],[3],[6],[8]]=>[8,6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[[1,2,7],[3,4],[5],[6],[8]]=>[8,6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[[1,5,6],[2,7],[3],[4],[8]]=>[8,4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[[1,2,3],[4,7],[5],[6],[8]]=>[8,6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6,8]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[[1,4,6],[2,5],[3],[7],[8]]=>[8,7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[[1,2,4],[3,6],[5],[7],[8]]=>[8,7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,7]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>[8,5,1,2,3,4,6,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,8]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,3,6],[2],[4],[5],[7],[8]]=>[8,7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>[6,1,7,2,8,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>[5,1,7,2,8,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>[4,1,7,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>[3,1,7,2,8,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[[1,2],[3,7],[4,8],[5],[6]]=>[6,5,4,8,3,7,1,2]=>[2,1,7,3,8,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>[5,1,6,2,8,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>[3,1,6,2,8,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[[1,2],[3,6],[4,8],[5],[7]]=>[7,5,4,8,3,6,1,2]=>[2,1,6,3,8,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[[1,4],[2,5],[3,8],[6],[7]]=>[7,6,3,8,2,5,1,4]=>[4,1,5,2,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[[1,3],[2,5],[4,8],[6],[7]]=>[7,6,4,8,2,5,1,3]=>[3,1,5,2,8,4,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[[1,2],[3,5],[4,8],[6],[7]]=>[7,6,4,8,3,5,1,2]=>[2,1,5,3,8,4,6,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>[3,1,4,2,8,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[1,4],[2,5],[3,7],[6],[8]]=>[8,6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[1,3],[2,4],[5,7],[6],[8]]=>[8,6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>[5,1,8,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[[1,4],[2,8],[3],[5],[6],[7]]=>[7,6,5,3,2,8,1,4]=>[4,1,8,2,3,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>[3,1,8,2,4,5,6,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,8]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,2],[3,5],[4],[6],[7],[8]]=>[8,7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,3,5,7,9],[2,4,6,8,10]]=>[2,4,6,8,10,1,3,5,7,9]=>[9,7,5,3,1,10,8,6,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[[1,3,5,7,8],[2,4,6,9,10]]=>[2,4,6,9,10,1,3,5,7,8]=>[8,7,5,3,1,10,9,6,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,.],.]]
[[1,3,5,6,9],[2,4,7,8,10]]=>[2,4,7,8,10,1,3,5,6,9]=>[9,6,5,3,1,10,8,7,4,2]=>[[[[[.,[.,.]],[.,.]],.],[[.,.],.]],[.,.]]
[[1,3,5,6,8],[2,4,7,9,10]]=>[2,4,7,9,10,1,3,5,6,8]=>[8,6,5,3,1,10,9,7,4,2]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],[[.,.],.]]
[[1,3,5,6,7],[2,4,8,9,10]]=>[2,4,8,9,10,1,3,5,6,7]=>[7,6,5,3,1,10,9,8,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],[[[.,.],.],.]]
[[1,3,4,7,9],[2,5,6,8,10]]=>[2,5,6,8,10,1,3,4,7,9]=>[9,7,4,3,1,10,8,6,5,2]=>[[[[[.,[.,.]],.],[[.,.],.]],[.,.]],[.,.]]
[[1,3,4,7,8],[2,5,6,9,10]]=>[2,5,6,9,10,1,3,4,7,8]=>[8,7,4,3,1,10,9,6,5,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],[[.,.],.]]
[[1,3,4,6,9],[2,5,7,8,10]]=>[2,5,7,8,10,1,3,4,6,9]=>[9,6,4,3,1,10,8,7,5,2]=>[[[[[.,[.,.]],.],[.,.]],[[.,.],.]],[.,.]]
[[1,3,4,6,8],[2,5,7,9,10]]=>[2,5,7,9,10,1,3,4,6,8]=>[8,6,4,3,1,10,9,7,5,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],[[.,.],.]]
[[1,3,4,6,7],[2,5,8,9,10]]=>[2,5,8,9,10,1,3,4,6,7]=>[7,6,4,3,1,10,9,8,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],[[[.,.],.],.]]
[[1,3,4,5,9],[2,6,7,8,10]]=>[2,6,7,8,10,1,3,4,5,9]=>[9,5,4,3,1,10,8,7,6,2]=>[[[[[.,[.,.]],.],.],[[[.,.],.],.]],[.,.]]
[[1,3,4,5,8],[2,6,7,9,10]]=>[2,6,7,9,10,1,3,4,5,8]=>[8,5,4,3,1,10,9,7,6,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],[[.,.],.]]
[[1,3,4,5,7],[2,6,8,9,10]]=>[2,6,8,9,10,1,3,4,5,7]=>[7,5,4,3,1,10,9,8,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],[[[.,.],.],.]]
[[1,3,4,5,6],[2,7,8,9,10]]=>[2,7,8,9,10,1,3,4,5,6]=>[6,5,4,3,1,10,9,8,7,2]=>[[[[[.,[.,.]],.],.],.],[[[[.,.],.],.],.]]
[[1,2,5,7,9],[3,4,6,8,10]]=>[3,4,6,8,10,1,2,5,7,9]=>[9,7,5,2,1,10,8,6,4,3]=>[[[[[.,.],[[.,.],.]],[.,.]],[.,.]],[.,.]]
[[1,2,5,7,8],[3,4,6,9,10]]=>[3,4,6,9,10,1,2,5,7,8]=>[8,7,5,2,1,10,9,6,4,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],[[.,.],.]]
[[1,2,5,6,9],[3,4,7,8,10]]=>[3,4,7,8,10,1,2,5,6,9]=>[9,6,5,2,1,10,8,7,4,3]=>[[[[[.,.],[[.,.],.]],.],[[.,.],.]],[.,.]]
[[1,2,5,6,8],[3,4,7,9,10]]=>[3,4,7,9,10,1,2,5,6,8]=>[8,6,5,2,1,10,9,7,4,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],[[.,.],.]]
[[1,2,5,6,7],[3,4,8,9,10]]=>[3,4,8,9,10,1,2,5,6,7]=>[7,6,5,2,1,10,9,8,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[[[.,.],.],.]]
[[1,2,4,7,9],[3,5,6,8,10]]=>[3,5,6,8,10,1,2,4,7,9]=>[9,7,4,2,1,10,8,6,5,3]=>[[[[[.,.],[.,.]],[[.,.],.]],[.,.]],[.,.]]
[[1,2,4,7,8],[3,5,6,9,10]]=>[3,5,6,9,10,1,2,4,7,8]=>[8,7,4,2,1,10,9,6,5,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],[[.,.],.]]
[[1,2,4,6,9],[3,5,7,8,10]]=>[3,5,7,8,10,1,2,4,6,9]=>[9,6,4,2,1,10,8,7,5,3]=>[[[[[.,.],[.,.]],[.,.]],[[.,.],.]],[.,.]]
[[1,2,4,6,8],[3,5,7,9,10]]=>[3,5,7,9,10,1,2,4,6,8]=>[8,6,4,2,1,10,9,7,5,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],.]]
[[1,2,4,6,7],[3,5,8,9,10]]=>[3,5,8,9,10,1,2,4,6,7]=>[7,6,4,2,1,10,9,8,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],[[[.,.],.],.]]
[[1,2,4,5,9],[3,6,7,8,10]]=>[3,6,7,8,10,1,2,4,5,9]=>[9,5,4,2,1,10,8,7,6,3]=>[[[[[.,.],[.,.]],.],[[[.,.],.],.]],[.,.]]
[[1,2,4,5,8],[3,6,7,9,10]]=>[3,6,7,9,10,1,2,4,5,8]=>[8,5,4,2,1,10,9,7,6,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],[[.,.],.]]
[[1,2,4,5,7],[3,6,8,9,10]]=>[3,6,8,9,10,1,2,4,5,7]=>[7,5,4,2,1,10,9,8,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],[[[.,.],.],.]]
[[1,2,4,5,6],[3,7,8,9,10]]=>[3,7,8,9,10,1,2,4,5,6]=>[6,5,4,2,1,10,9,8,7,3]=>[[[[[.,.],[.,.]],.],.],[[[[.,.],.],.],.]]
[[1,2,3,7,9],[4,5,6,8,10]]=>[4,5,6,8,10,1,2,3,7,9]=>[9,7,3,2,1,10,8,6,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],[.,.]],[.,.]]
[[1,2,3,7,8],[4,5,6,9,10]]=>[4,5,6,9,10,1,2,3,7,8]=>[8,7,3,2,1,10,9,6,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],[[.,.],.]]
[[1,2,3,6,9],[4,5,7,8,10]]=>[4,5,7,8,10,1,2,3,6,9]=>[9,6,3,2,1,10,8,7,5,4]=>[[[[[.,.],.],[[.,.],.]],[[.,.],.]],[.,.]]
[[1,2,3,6,8],[4,5,7,9,10]]=>[4,5,7,9,10,1,2,3,6,8]=>[8,6,3,2,1,10,9,7,5,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],[[.,.],.]]
[[1,2,3,6,7],[4,5,8,9,10]]=>[4,5,8,9,10,1,2,3,6,7]=>[7,6,3,2,1,10,9,8,5,4]=>[[[[[.,.],.],[[.,.],.]],.],[[[.,.],.],.]]
[[1,2,3,5,9],[4,6,7,8,10]]=>[4,6,7,8,10,1,2,3,5,9]=>[9,5,3,2,1,10,8,7,6,4]=>[[[[[.,.],.],[.,.]],[[[.,.],.],.]],[.,.]]
[[1,2,3,5,8],[4,6,7,9,10]]=>[4,6,7,9,10,1,2,3,5,8]=>[8,5,3,2,1,10,9,7,6,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],[[.,.],.]]
[[1,2,3,5,7],[4,6,8,9,10]]=>[4,6,8,9,10,1,2,3,5,7]=>[7,5,3,2,1,10,9,8,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[[[.,.],.],.]]
[[1,2,3,5,6],[4,7,8,9,10]]=>[4,7,8,9,10,1,2,3,5,6]=>[6,5,3,2,1,10,9,8,7,4]=>[[[[[.,.],.],[.,.]],.],[[[[.,.],.],.],.]]
[[1,2,3,4,9],[5,6,7,8,10]]=>[5,6,7,8,10,1,2,3,4,9]=>[9,4,3,2,1,10,8,7,6,5]=>[[[[[.,.],.],.],[[[[.,.],.],.],.]],[.,.]]
[[1,2,3,4,8],[5,6,7,9,10]]=>[5,6,7,9,10,1,2,3,4,8]=>[8,4,3,2,1,10,9,7,6,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],[[.,.],.]]
[[1,2,3,4,7],[5,6,8,9,10]]=>[5,6,8,9,10,1,2,3,4,7]=>[7,4,3,2,1,10,9,8,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[[[.,.],.],.]]
[[1,2,3,4,6],[5,7,8,9,10]]=>[5,7,8,9,10,1,2,3,4,6]=>[6,4,3,2,1,10,9,8,7,5]=>[[[[[.,.],.],.],[.,.]],[[[[.,.],.],.],.]]
[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]
[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[11,9,7,5,3,1,12,10,8,6,4,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[[1,3,5,7,9,10],[2,4,6,8,11,12]]=>[2,4,6,8,11,12,1,3,5,7,9,10]=>[10,9,7,5,3,1,12,11,8,6,4,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.],[[.,.],.]]
[[1,3,5,7,8,11],[2,4,6,9,10,12]]=>[2,4,6,9,10,12,1,3,5,7,8,11]=>[11,8,7,5,3,1,12,10,9,6,4,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,.],.]],[.,.]]
[[1,3,5,7,8,10],[2,4,6,9,11,12]]=>[2,4,6,9,11,12,1,3,5,7,8,10]=>[10,8,7,5,3,1,12,11,9,6,4,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],.],[.,.]],[[.,.],.]]
[[1,3,5,7,8,9],[2,4,6,10,11,12]]=>[2,4,6,10,11,12,1,3,5,7,8,9]=>[9,8,7,5,3,1,12,11,10,6,4,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],.],.],[[[.,.],.],.]]
[[1,3,5,6,9,11],[2,4,7,8,10,12]]=>[2,4,7,8,10,12,1,3,5,6,9,11]=>[11,9,6,5,3,1,12,10,8,7,4,2]=>[[[[[[.,[.,.]],[.,.]],.],[[.,.],.]],[.,.]],[.,.]]
[[1,3,5,6,9,10],[2,4,7,8,11,12]]=>[2,4,7,8,11,12,1,3,5,6,9,10]=>[10,9,6,5,3,1,12,11,8,7,4,2]=>[[[[[[.,[.,.]],[.,.]],.],[[.,.],.]],.],[[.,.],.]]
[[1,3,5,6,8,11],[2,4,7,9,10,12]]=>[2,4,7,9,10,12,1,3,5,6,8,11]=>[11,8,6,5,3,1,12,10,9,7,4,2]=>[[[[[[.,[.,.]],[.,.]],.],[.,.]],[[.,.],.]],[.,.]]
[[1,3,5,6,8,10],[2,4,7,9,11,12]]=>[2,4,7,9,11,12,1,3,5,6,8,10]=>[10,8,6,5,3,1,12,11,9,7,4,2]=>[[[[[[.,[.,.]],[.,.]],.],[.,.]],[.,.]],[[.,.],.]]
[[1,3,5,6,8,9],[2,4,7,10,11,12]]=>[2,4,7,10,11,12,1,3,5,6,8,9]=>[9,8,6,5,3,1,12,11,10,7,4,2]=>[[[[[[.,[.,.]],[.,.]],.],[.,.]],.],[[[.,.],.],.]]
[[1,3,5,6,7,11],[2,4,8,9,10,12]]=>[2,4,8,9,10,12,1,3,5,6,7,11]=>[11,7,6,5,3,1,12,10,9,8,4,2]=>[[[[[[.,[.,.]],[.,.]],.],.],[[[.,.],.],.]],[.,.]]
[[1,3,5,6,7,10],[2,4,8,9,11,12]]=>[2,4,8,9,11,12,1,3,5,6,7,10]=>[10,7,6,5,3,1,12,11,9,8,4,2]=>[[[[[[.,[.,.]],[.,.]],.],.],[[.,.],.]],[[.,.],.]]
[[1,3,5,6,7,9],[2,4,8,10,11,12]]=>[2,4,8,10,11,12,1,3,5,6,7,9]=>[9,7,6,5,3,1,12,11,10,8,4,2]=>[[[[[[.,[.,.]],[.,.]],.],.],[.,.]],[[[.,.],.],.]]
[[1,3,5,6,7,8],[2,4,9,10,11,12]]=>[2,4,9,10,11,12,1,3,5,6,7,8]=>[8,7,6,5,3,1,12,11,10,9,4,2]=>[[[[[[.,[.,.]],[.,.]],.],.],.],[[[[.,.],.],.],.]]
[[1,3,4,7,9,11],[2,5,6,8,10,12]]=>[2,5,6,8,10,12,1,3,4,7,9,11]=>[11,9,7,4,3,1,12,10,8,6,5,2]=>[[[[[[.,[.,.]],.],[[.,.],.]],[.,.]],[.,.]],[.,.]]
[[1,3,4,7,9,10],[2,5,6,8,11,12]]=>[2,5,6,8,11,12,1,3,4,7,9,10]=>[10,9,7,4,3,1,12,11,8,6,5,2]=>[[[[[[.,[.,.]],.],[[.,.],.]],[.,.]],.],[[.,.],.]]
[[1,3,4,7,8,11],[2,5,6,9,10,12]]=>[2,5,6,9,10,12,1,3,4,7,8,11]=>[11,8,7,4,3,1,12,10,9,6,5,2]=>[[[[[[.,[.,.]],.],[[.,.],.]],.],[[.,.],.]],[.,.]]
[[1,3,4,7,8,10],[2,5,6,9,11,12]]=>[2,5,6,9,11,12,1,3,4,7,8,10]=>[10,8,7,4,3,1,12,11,9,6,5,2]=>[[[[[[.,[.,.]],.],[[.,.],.]],.],[.,.]],[[.,.],.]]
[[1,3,4,7,8,9],[2,5,6,10,11,12]]=>[2,5,6,10,11,12,1,3,4,7,8,9]=>[9,8,7,4,3,1,12,11,10,6,5,2]=>[[[[[[.,[.,.]],.],[[.,.],.]],.],.],[[[.,.],.],.]]
[[1,3,4,6,9,11],[2,5,7,8,10,12]]=>[2,5,7,8,10,12,1,3,4,6,9,11]=>[11,9,6,4,3,1,12,10,8,7,5,2]=>[[[[[[.,[.,.]],.],[.,.]],[[.,.],.]],[.,.]],[.,.]]
[[1,3,4,6,9,10],[2,5,7,8,11,12]]=>[2,5,7,8,11,12,1,3,4,6,9,10]=>[10,9,6,4,3,1,12,11,8,7,5,2]=>[[[[[[.,[.,.]],.],[.,.]],[[.,.],.]],.],[[.,.],.]]
[[1,3,4,6,8,11],[2,5,7,9,10,12]]=>[2,5,7,9,10,12,1,3,4,6,8,11]=>[11,8,6,4,3,1,12,10,9,7,5,2]=>[[[[[[.,[.,.]],.],[.,.]],[.,.]],[[.,.],.]],[.,.]]
[[1,3,4,6,8,10],[2,5,7,9,11,12]]=>[2,5,7,9,11,12,1,3,4,6,8,10]=>[10,8,6,4,3,1,12,11,9,7,5,2]=>[[[[[[.,[.,.]],.],[.,.]],[.,.]],[.,.]],[[.,.],.]]
[[1,3,4,6,8,9],[2,5,7,10,11,12]]=>[2,5,7,10,11,12,1,3,4,6,8,9]=>[9,8,6,4,3,1,12,11,10,7,5,2]=>[[[[[[.,[.,.]],.],[.,.]],[.,.]],.],[[[.,.],.],.]]
[[1,3,4,6,7,11],[2,5,8,9,10,12]]=>[2,5,8,9,10,12,1,3,4,6,7,11]=>[11,7,6,4,3,1,12,10,9,8,5,2]=>[[[[[[.,[.,.]],.],[.,.]],.],[[[.,.],.],.]],[.,.]]
[[1,3,4,6,7,10],[2,5,8,9,11,12]]=>[2,5,8,9,11,12,1,3,4,6,7,10]=>[10,7,6,4,3,1,12,11,9,8,5,2]=>[[[[[[.,[.,.]],.],[.,.]],.],[[.,.],.]],[[.,.],.]]
[[1,3,4,6,7,9],[2,5,8,10,11,12]]=>[2,5,8,10,11,12,1,3,4,6,7,9]=>[9,7,6,4,3,1,12,11,10,8,5,2]=>[[[[[[.,[.,.]],.],[.,.]],.],[.,.]],[[[.,.],.],.]]
[[1,3,4,6,7,8],[2,5,9,10,11,12]]=>[2,5,9,10,11,12,1,3,4,6,7,8]=>[8,7,6,4,3,1,12,11,10,9,5,2]=>[[[[[[.,[.,.]],.],[.,.]],.],.],[[[[.,.],.],.],.]]
[[1,3,4,5,9,11],[2,6,7,8,10,12]]=>[2,6,7,8,10,12,1,3,4,5,9,11]=>[11,9,5,4,3,1,12,10,8,7,6,2]=>[[[[[[.,[.,.]],.],.],[[[.,.],.],.]],[.,.]],[.,.]]
[[1,3,4,5,9,10],[2,6,7,8,11,12]]=>[2,6,7,8,11,12,1,3,4,5,9,10]=>[10,9,5,4,3,1,12,11,8,7,6,2]=>[[[[[[.,[.,.]],.],.],[[[.,.],.],.]],.],[[.,.],.]]
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[[1,3,4,5,8,10],[2,6,7,9,11,12]]=>[2,6,7,9,11,12,1,3,4,5,8,10]=>[10,8,5,4,3,1,12,11,9,7,6,2]=>[[[[[[.,[.,.]],.],.],[[.,.],.]],[.,.]],[[.,.],.]]
[[1,3,4,5,8,9],[2,6,7,10,11,12]]=>[2,6,7,10,11,12,1,3,4,5,8,9]=>[9,8,5,4,3,1,12,11,10,7,6,2]=>[[[[[[.,[.,.]],.],.],[[.,.],.]],.],[[[.,.],.],.]]
[[1,3,4,5,7,11],[2,6,8,9,10,12]]=>[2,6,8,9,10,12,1,3,4,5,7,11]=>[11,7,5,4,3,1,12,10,9,8,6,2]=>[[[[[[.,[.,.]],.],.],[.,.]],[[[.,.],.],.]],[.,.]]
[[1,3,4,5,7,10],[2,6,8,9,11,12]]=>[2,6,8,9,11,12,1,3,4,5,7,10]=>[10,7,5,4,3,1,12,11,9,8,6,2]=>[[[[[[.,[.,.]],.],.],[.,.]],[[.,.],.]],[[.,.],.]]
[[1,3,4,5,7,9],[2,6,8,10,11,12]]=>[2,6,8,10,11,12,1,3,4,5,7,9]=>[9,7,5,4,3,1,12,11,10,8,6,2]=>[[[[[[.,[.,.]],.],.],[.,.]],[.,.]],[[[.,.],.],.]]
[[1,3,4,5,7,8],[2,6,9,10,11,12]]=>[2,6,9,10,11,12,1,3,4,5,7,8]=>[8,7,5,4,3,1,12,11,10,9,6,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],[[[[.,.],.],.],.]]
[[1,3,4,5,6,11],[2,7,8,9,10,12]]=>[2,7,8,9,10,12,1,3,4,5,6,11]=>[11,6,5,4,3,1,12,10,9,8,7,2]=>[[[[[[.,[.,.]],.],.],.],[[[[.,.],.],.],.]],[.,.]]
[[1,3,4,5,6,10],[2,7,8,9,11,12]]=>[2,7,8,9,11,12,1,3,4,5,6,10]=>[10,6,5,4,3,1,12,11,9,8,7,2]=>[[[[[[.,[.,.]],.],.],.],[[[.,.],.],.]],[[.,.],.]]
[[1,3,4,5,6,9],[2,7,8,10,11,12]]=>[2,7,8,10,11,12,1,3,4,5,6,9]=>[9,6,5,4,3,1,12,11,10,8,7,2]=>[[[[[[.,[.,.]],.],.],.],[[.,.],.]],[[[.,.],.],.]]
[[1,3,4,5,6,8],[2,7,9,10,11,12]]=>[2,7,9,10,11,12,1,3,4,5,6,8]=>[8,6,5,4,3,1,12,11,10,9,7,2]=>[[[[[[.,[.,.]],.],.],.],[.,.]],[[[[.,.],.],.],.]]
[[1,3,4,5,6,7],[2,8,9,10,11,12]]=>[2,8,9,10,11,12,1,3,4,5,6,7]=>[7,6,5,4,3,1,12,11,10,9,8,2]=>[[[[[[.,[.,.]],.],.],.],.],[[[[[.,.],.],.],.],.]]
[[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[3,4,6,8,10,12,1,2,5,7,9,11]=>[11,9,7,5,2,1,12,10,8,6,4,3]=>[[[[[[.,.],[[.,.],.]],[.,.]],[.,.]],[.,.]],[.,.]]
[[1,2,5,7,9,10],[3,4,6,8,11,12]]=>[3,4,6,8,11,12,1,2,5,7,9,10]=>[10,9,7,5,2,1,12,11,8,6,4,3]=>[[[[[[.,.],[[.,.],.]],[.,.]],[.,.]],.],[[.,.],.]]
[[1,2,5,7,8,11],[3,4,6,9,10,12]]=>[3,4,6,9,10,12,1,2,5,7,8,11]=>[11,8,7,5,2,1,12,10,9,6,4,3]=>[[[[[[.,.],[[.,.],.]],[.,.]],.],[[.,.],.]],[.,.]]
[[1,2,5,7,8,10],[3,4,6,9,11,12]]=>[3,4,6,9,11,12,1,2,5,7,8,10]=>[10,8,7,5,2,1,12,11,9,6,4,3]=>[[[[[[.,.],[[.,.],.]],[.,.]],.],[.,.]],[[.,.],.]]
[[1,2,5,7,8,9],[3,4,6,10,11,12]]=>[3,4,6,10,11,12,1,2,5,7,8,9]=>[9,8,7,5,2,1,12,11,10,6,4,3]=>[[[[[[.,.],[[.,.],.]],[.,.]],.],.],[[[.,.],.],.]]
[[1,2,5,6,9,11],[3,4,7,8,10,12]]=>[3,4,7,8,10,12,1,2,5,6,9,11]=>[11,9,6,5,2,1,12,10,8,7,4,3]=>[[[[[[.,.],[[.,.],.]],.],[[.,.],.]],[.,.]],[.,.]]
[[1,2,5,6,9,10],[3,4,7,8,11,12]]=>[3,4,7,8,11,12,1,2,5,6,9,10]=>[10,9,6,5,2,1,12,11,8,7,4,3]=>[[[[[[.,.],[[.,.],.]],.],[[.,.],.]],.],[[.,.],.]]
[[1,2,5,6,8,11],[3,4,7,9,10,12]]=>[3,4,7,9,10,12,1,2,5,6,8,11]=>[11,8,6,5,2,1,12,10,9,7,4,3]=>[[[[[[.,.],[[.,.],.]],.],[.,.]],[[.,.],.]],[.,.]]
[[1,2,5,6,8,10],[3,4,7,9,11,12]]=>[3,4,7,9,11,12,1,2,5,6,8,10]=>[10,8,6,5,2,1,12,11,9,7,4,3]=>[[[[[[.,.],[[.,.],.]],.],[.,.]],[.,.]],[[.,.],.]]
[[1,2,5,6,8,9],[3,4,7,10,11,12]]=>[3,4,7,10,11,12,1,2,5,6,8,9]=>[9,8,6,5,2,1,12,11,10,7,4,3]=>[[[[[[.,.],[[.,.],.]],.],[.,.]],.],[[[.,.],.],.]]
[[1,2,5,6,7,11],[3,4,8,9,10,12]]=>[3,4,8,9,10,12,1,2,5,6,7,11]=>[11,7,6,5,2,1,12,10,9,8,4,3]=>[[[[[[.,.],[[.,.],.]],.],.],[[[.,.],.],.]],[.,.]]
[[1,2,5,6,7,10],[3,4,8,9,11,12]]=>[3,4,8,9,11,12,1,2,5,6,7,10]=>[10,7,6,5,2,1,12,11,9,8,4,3]=>[[[[[[.,.],[[.,.],.]],.],.],[[.,.],.]],[[.,.],.]]
[[1,2,5,6,7,9],[3,4,8,10,11,12]]=>[3,4,8,10,11,12,1,2,5,6,7,9]=>[9,7,6,5,2,1,12,11,10,8,4,3]=>[[[[[[.,.],[[.,.],.]],.],.],[.,.]],[[[.,.],.],.]]
[[1,2,5,6,7,8],[3,4,9,10,11,12]]=>[3,4,9,10,11,12,1,2,5,6,7,8]=>[8,7,6,5,2,1,12,11,10,9,4,3]=>[[[[[[.,.],[[.,.],.]],.],.],.],[[[[.,.],.],.],.]]
[[1,2,4,7,9,11],[3,5,6,8,10,12]]=>[3,5,6,8,10,12,1,2,4,7,9,11]=>[11,9,7,4,2,1,12,10,8,6,5,3]=>[[[[[[.,.],[.,.]],[[.,.],.]],[.,.]],[.,.]],[.,.]]
[[1,2,4,7,9,10],[3,5,6,8,11,12]]=>[3,5,6,8,11,12,1,2,4,7,9,10]=>[10,9,7,4,2,1,12,11,8,6,5,3]=>[[[[[[.,.],[.,.]],[[.,.],.]],[.,.]],.],[[.,.],.]]
[[1,2,4,7,8,11],[3,5,6,9,10,12]]=>[3,5,6,9,10,12,1,2,4,7,8,11]=>[11,8,7,4,2,1,12,10,9,6,5,3]=>[[[[[[.,.],[.,.]],[[.,.],.]],.],[[.,.],.]],[.,.]]
[[1,2,4,7,8,10],[3,5,6,9,11,12]]=>[3,5,6,9,11,12,1,2,4,7,8,10]=>[10,8,7,4,2,1,12,11,9,6,5,3]=>[[[[[[.,.],[.,.]],[[.,.],.]],.],[.,.]],[[.,.],.]]
[[1,2,4,7,8,9],[3,5,6,10,11,12]]=>[3,5,6,10,11,12,1,2,4,7,8,9]=>[9,8,7,4,2,1,12,11,10,6,5,3]=>[[[[[[.,.],[.,.]],[[.,.],.]],.],.],[[[.,.],.],.]]
[[1,2,4,6,9,11],[3,5,7,8,10,12]]=>[3,5,7,8,10,12,1,2,4,6,9,11]=>[11,9,6,4,2,1,12,10,8,7,5,3]=>[[[[[[.,.],[.,.]],[.,.]],[[.,.],.]],[.,.]],[.,.]]
[[1,2,4,6,9,10],[3,5,7,8,11,12]]=>[3,5,7,8,11,12,1,2,4,6,9,10]=>[10,9,6,4,2,1,12,11,8,7,5,3]=>[[[[[[.,.],[.,.]],[.,.]],[[.,.],.]],.],[[.,.],.]]
[[1,2,4,6,8,11],[3,5,7,9,10,12]]=>[3,5,7,9,10,12,1,2,4,6,8,11]=>[11,8,6,4,2,1,12,10,9,7,5,3]=>[[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],.]],[.,.]]
[[1,2,4,6,8,10],[3,5,7,9,11,12]]=>[3,5,7,9,11,12,1,2,4,6,8,10]=>[10,8,6,4,2,1,12,11,9,7,5,3]=>[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],.]]
[[1,2,4,6,8,9],[3,5,7,10,11,12]]=>[3,5,7,10,11,12,1,2,4,6,8,9]=>[9,8,6,4,2,1,12,11,10,7,5,3]=>[[[[[[.,.],[.,.]],[.,.]],[.,.]],.],[[[.,.],.],.]]
[[1,2,4,6,7,11],[3,5,8,9,10,12]]=>[3,5,8,9,10,12,1,2,4,6,7,11]=>[11,7,6,4,2,1,12,10,9,8,5,3]=>[[[[[[.,.],[.,.]],[.,.]],.],[[[.,.],.],.]],[.,.]]
[[1,2,4,6,7,10],[3,5,8,9,11,12]]=>[3,5,8,9,11,12,1,2,4,6,7,10]=>[10,7,6,4,2,1,12,11,9,8,5,3]=>[[[[[[.,.],[.,.]],[.,.]],.],[[.,.],.]],[[.,.],.]]
[[1,2,4,6,7,9],[3,5,8,10,11,12]]=>[3,5,8,10,11,12,1,2,4,6,7,9]=>[9,7,6,4,2,1,12,11,10,8,5,3]=>[[[[[[.,.],[.,.]],[.,.]],.],[.,.]],[[[.,.],.],.]]
[[1,2,4,6,7,8],[3,5,9,10,11,12]]=>[3,5,9,10,11,12,1,2,4,6,7,8]=>[8,7,6,4,2,1,12,11,10,9,5,3]=>[[[[[[.,.],[.,.]],[.,.]],.],.],[[[[.,.],.],.],.]]
[[1,2,4,5,9,11],[3,6,7,8,10,12]]=>[3,6,7,8,10,12,1,2,4,5,9,11]=>[11,9,5,4,2,1,12,10,8,7,6,3]=>[[[[[[.,.],[.,.]],.],[[[.,.],.],.]],[.,.]],[.,.]]
[[1,2,4,5,9,10],[3,6,7,8,11,12]]=>[3,6,7,8,11,12,1,2,4,5,9,10]=>[10,9,5,4,2,1,12,11,8,7,6,3]=>[[[[[[.,.],[.,.]],.],[[[.,.],.],.]],.],[[.,.],.]]
[[1,2,4,5,8,11],[3,6,7,9,10,12]]=>[3,6,7,9,10,12,1,2,4,5,8,11]=>[11,8,5,4,2,1,12,10,9,7,6,3]=>[[[[[[.,.],[.,.]],.],[[.,.],.]],[[.,.],.]],[.,.]]
[[1,2,4,5,8,10],[3,6,7,9,11,12]]=>[3,6,7,9,11,12,1,2,4,5,8,10]=>[10,8,5,4,2,1,12,11,9,7,6,3]=>[[[[[[.,.],[.,.]],.],[[.,.],.]],[.,.]],[[.,.],.]]
[[1,2,4,5,8,9],[3,6,7,10,11,12]]=>[3,6,7,10,11,12,1,2,4,5,8,9]=>[9,8,5,4,2,1,12,11,10,7,6,3]=>[[[[[[.,.],[.,.]],.],[[.,.],.]],.],[[[.,.],.],.]]
[[1,2,4,5,7,11],[3,6,8,9,10,12]]=>[3,6,8,9,10,12,1,2,4,5,7,11]=>[11,7,5,4,2,1,12,10,9,8,6,3]=>[[[[[[.,.],[.,.]],.],[.,.]],[[[.,.],.],.]],[.,.]]
[[1,2,4,5,7,10],[3,6,8,9,11,12]]=>[3,6,8,9,11,12,1,2,4,5,7,10]=>[10,7,5,4,2,1,12,11,9,8,6,3]=>[[[[[[.,.],[.,.]],.],[.,.]],[[.,.],.]],[[.,.],.]]
[[1,2,4,5,7,9],[3,6,8,10,11,12]]=>[3,6,8,10,11,12,1,2,4,5,7,9]=>[9,7,5,4,2,1,12,11,10,8,6,3]=>[[[[[[.,.],[.,.]],.],[.,.]],[.,.]],[[[.,.],.],.]]
[[1,2,4,5,7,8],[3,6,9,10,11,12]]=>[3,6,9,10,11,12,1,2,4,5,7,8]=>[8,7,5,4,2,1,12,11,10,9,6,3]=>[[[[[[.,.],[.,.]],.],[.,.]],.],[[[[.,.],.],.],.]]
[[1,2,4,5,6,11],[3,7,8,9,10,12]]=>[3,7,8,9,10,12,1,2,4,5,6,11]=>[11,6,5,4,2,1,12,10,9,8,7,3]=>[[[[[[.,.],[.,.]],.],.],[[[[.,.],.],.],.]],[.,.]]
[[1,2,4,5,6,10],[3,7,8,9,11,12]]=>[3,7,8,9,11,12,1,2,4,5,6,10]=>[10,6,5,4,2,1,12,11,9,8,7,3]=>[[[[[[.,.],[.,.]],.],.],[[[.,.],.],.]],[[.,.],.]]
[[1,2,4,5,6,9],[3,7,8,10,11,12]]=>[3,7,8,10,11,12,1,2,4,5,6,9]=>[9,6,5,4,2,1,12,11,10,8,7,3]=>[[[[[[.,.],[.,.]],.],.],[[.,.],.]],[[[.,.],.],.]]
[[1,2,4,5,6,8],[3,7,9,10,11,12]]=>[3,7,9,10,11,12,1,2,4,5,6,8]=>[8,6,5,4,2,1,12,11,10,9,7,3]=>[[[[[[.,.],[.,.]],.],.],[.,.]],[[[[.,.],.],.],.]]
[[1,2,4,5,6,7],[3,8,9,10,11,12]]=>[3,8,9,10,11,12,1,2,4,5,6,7]=>[7,6,5,4,2,1,12,11,10,9,8,3]=>[[[[[[.,.],[.,.]],.],.],.],[[[[[.,.],.],.],.],.]]
[[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[4,5,6,8,10,12,1,2,3,7,9,11]=>[11,9,7,3,2,1,12,10,8,6,5,4]=>[[[[[[.,.],.],[[[.,.],.],.]],[.,.]],[.,.]],[.,.]]
[[1,2,3,7,9,10],[4,5,6,8,11,12]]=>[4,5,6,8,11,12,1,2,3,7,9,10]=>[10,9,7,3,2,1,12,11,8,6,5,4]=>[[[[[[.,.],.],[[[.,.],.],.]],[.,.]],.],[[.,.],.]]
[[1,2,3,7,8,11],[4,5,6,9,10,12]]=>[4,5,6,9,10,12,1,2,3,7,8,11]=>[11,8,7,3,2,1,12,10,9,6,5,4]=>[[[[[[.,.],.],[[[.,.],.],.]],.],[[.,.],.]],[.,.]]
[[1,2,3,7,8,10],[4,5,6,9,11,12]]=>[4,5,6,9,11,12,1,2,3,7,8,10]=>[10,8,7,3,2,1,12,11,9,6,5,4]=>[[[[[[.,.],.],[[[.,.],.],.]],.],[.,.]],[[.,.],.]]
[[1,2,3,7,8,9],[4,5,6,10,11,12]]=>[4,5,6,10,11,12,1,2,3,7,8,9]=>[9,8,7,3,2,1,12,11,10,6,5,4]=>[[[[[[.,.],.],[[[.,.],.],.]],.],.],[[[.,.],.],.]]
[[1,2,3,6,9,11],[4,5,7,8,10,12]]=>[4,5,7,8,10,12,1,2,3,6,9,11]=>[11,9,6,3,2,1,12,10,8,7,5,4]=>[[[[[[.,.],.],[[.,.],.]],[[.,.],.]],[.,.]],[.,.]]
[[1,2,3,6,9,10],[4,5,7,8,11,12]]=>[4,5,7,8,11,12,1,2,3,6,9,10]=>[10,9,6,3,2,1,12,11,8,7,5,4]=>[[[[[[.,.],.],[[.,.],.]],[[.,.],.]],.],[[.,.],.]]
[[1,2,3,6,8,11],[4,5,7,9,10,12]]=>[4,5,7,9,10,12,1,2,3,6,8,11]=>[11,8,6,3,2,1,12,10,9,7,5,4]=>[[[[[[.,.],.],[[.,.],.]],[.,.]],[[.,.],.]],[.,.]]
[[1,2,3,6,8,10],[4,5,7,9,11,12]]=>[4,5,7,9,11,12,1,2,3,6,8,10]=>[10,8,6,3,2,1,12,11,9,7,5,4]=>[[[[[[.,.],.],[[.,.],.]],[.,.]],[.,.]],[[.,.],.]]
[[1,2,3,6,8,9],[4,5,7,10,11,12]]=>[4,5,7,10,11,12,1,2,3,6,8,9]=>[9,8,6,3,2,1,12,11,10,7,5,4]=>[[[[[[.,.],.],[[.,.],.]],[.,.]],.],[[[.,.],.],.]]
[[1,2,3,6,7,11],[4,5,8,9,10,12]]=>[4,5,8,9,10,12,1,2,3,6,7,11]=>[11,7,6,3,2,1,12,10,9,8,5,4]=>[[[[[[.,.],.],[[.,.],.]],.],[[[.,.],.],.]],[.,.]]
[[1,2,3,6,7,10],[4,5,8,9,11,12]]=>[4,5,8,9,11,12,1,2,3,6,7,10]=>[10,7,6,3,2,1,12,11,9,8,5,4]=>[[[[[[.,.],.],[[.,.],.]],.],[[.,.],.]],[[.,.],.]]
[[1,2,3,6,7,9],[4,5,8,10,11,12]]=>[4,5,8,10,11,12,1,2,3,6,7,9]=>[9,7,6,3,2,1,12,11,10,8,5,4]=>[[[[[[.,.],.],[[.,.],.]],.],[.,.]],[[[.,.],.],.]]
[[1,2,3,6,7,8],[4,5,9,10,11,12]]=>[4,5,9,10,11,12,1,2,3,6,7,8]=>[8,7,6,3,2,1,12,11,10,9,5,4]=>[[[[[[.,.],.],[[.,.],.]],.],.],[[[[.,.],.],.],.]]
[[1,2,3,5,9,11],[4,6,7,8,10,12]]=>[4,6,7,8,10,12,1,2,3,5,9,11]=>[11,9,5,3,2,1,12,10,8,7,6,4]=>[[[[[[.,.],.],[.,.]],[[[.,.],.],.]],[.,.]],[.,.]]
[[1,2,3,5,9,10],[4,6,7,8,11,12]]=>[4,6,7,8,11,12,1,2,3,5,9,10]=>[10,9,5,3,2,1,12,11,8,7,6,4]=>[[[[[[.,.],.],[.,.]],[[[.,.],.],.]],.],[[.,.],.]]
[[1,2,3,5,8,11],[4,6,7,9,10,12]]=>[4,6,7,9,10,12,1,2,3,5,8,11]=>[11,8,5,3,2,1,12,10,9,7,6,4]=>[[[[[[.,.],.],[.,.]],[[.,.],.]],[[.,.],.]],[.,.]]
[[1,2,3,5,8,10],[4,6,7,9,11,12]]=>[4,6,7,9,11,12,1,2,3,5,8,10]=>[10,8,5,3,2,1,12,11,9,7,6,4]=>[[[[[[.,.],.],[.,.]],[[.,.],.]],[.,.]],[[.,.],.]]
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[[1,2,3,4,5,6,7,8,9]]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]
[[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]
[[1,2,3,4,5,6],[7,8,9]]=>[7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]
[[1,2,3,4,5,6],[7,8],[9]]=>[9,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,9]=>[[[[[[.,.],.],.],.],.],[[.,.],[.,.]]]
[[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[[1,2,3,4,5],[6,7,8,9]]=>[6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6]=>[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]
[[1,2,3,4,5],[6,7,8],[9]]=>[9,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,9]=>[[[[[.,.],.],.],.],[[[.,.],.],[.,.]]]
[[1,2,3,4,5],[6,7],[8,9]]=>[8,9,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,9,8]=>[[[[[.,.],.],.],.],[[.,.],[[.,.],.]]]
[[1,2,3,4,5],[6,7],[8],[9]]=>[9,8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8,9]=>[[[[[.,.],.],.],.],[[.,.],[.,[.,.]]]]
[[1,2,3,4,5],[6],[7],[8],[9]]=>[9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[[1,2,3,4],[5,6,7,8],[9]]=>[9,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,9]=>[[[[.,.],.],.],[[[[.,.],.],.],[.,.]]]
[[1,2,3,4],[5,6,7],[8,9]]=>[8,9,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,9,8]=>[[[[.,.],.],.],[[[.,.],.],[[.,.],.]]]
[[1,2,3,4],[5,6,7],[8],[9]]=>[9,8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8,9]=>[[[[.,.],.],.],[[[.,.],.],[.,[.,.]]]]
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[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
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[[1,2,3],[4,5,6],[7,8],[9]]=>[9,7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7,9]=>[[[.,.],.],[[[.,.],.],[[.,.],[.,.]]]]
[[1,2,3],[4,5,6],[7],[8],[9]]=>[9,8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8,9]=>[[[.,.],.],[[[.,.],.],[.,[.,[.,.]]]]]
[[1,2,3],[4,5],[6,7],[8,9]]=>[8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8]=>[[[.,.],.],[[.,.],[[.,.],[[.,.],.]]]]
[[1,2,3],[4,5],[6,7],[8],[9]]=>[9,8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8,9]=>[[[.,.],.],[[.,.],[[.,.],[.,[.,.]]]]]
[[1,2,3],[4,5],[6],[7],[8],[9]]=>[9,8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8,9]=>[[[.,.],.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2],[3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[[1,2],[3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8,9]=>[[.,.],[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[[1,2],[3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]
[[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]
[[1,2,3,4,5,6,7],[8,9,10]]=>[8,9,10,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,10,9,8]=>[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]
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[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]
[[1,2,3,4,5,6],[7,8,9,10]]=>[7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]
[[1,2,3,4,5,6],[7,8,9],[10]]=>[10,7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7,10]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],[.,.]]]
[[1,2,3,4,5,6],[7,8],[9,10]]=>[9,10,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,10,9]=>[[[[[[.,.],.],.],.],.],[[.,.],[[.,.],.]]]
[[1,2,3,4,5,6],[7,8],[9],[10]]=>[10,9,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,9,10]=>[[[[[[.,.],.],.],.],.],[[.,.],[.,[.,.]]]]
[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[[1,2,3,4,5],[6,7,8,9],[10]]=>[10,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,10]=>[[[[[.,.],.],.],.],[[[[.,.],.],.],[.,.]]]
[[1,2,3,4,5],[6,7,8],[9,10]]=>[9,10,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,10,9]=>[[[[[.,.],.],.],.],[[[.,.],.],[[.,.],.]]]
[[1,2,3,4,5],[6,7,8],[9],[10]]=>[10,9,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,9,10]=>[[[[[.,.],.],.],.],[[[.,.],.],[.,[.,.]]]]
[[1,2,3,4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,9,8,10]=>[[[[[.,.],.],.],.],[[.,.],[[.,.],[.,.]]]]
[[1,2,3,4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8,9,10]=>[[[[[.,.],.],.],.],[[.,.],[.,[.,[.,.]]]]]
[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9,10]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4],[5,6,7,8],[9,10]]=>[9,10,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,10,9]=>[[[[.,.],.],.],[[[[.,.],.],.],[[.,.],.]]]
[[1,2,3,4],[5,6,7,8],[9],[10]]=>[10,9,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,9,10]=>[[[[.,.],.],.],[[[[.,.],.],.],[.,[.,.]]]]
[[1,2,3,4],[5,6,7],[8,9,10]]=>[8,9,10,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,10,9,8]=>[[[[.,.],.],.],[[[.,.],.],[[[.,.],.],.]]]
[[1,2,3,4],[5,6,7],[8,9],[10]]=>[10,8,9,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,9,8,10]=>[[[[.,.],.],.],[[[.,.],.],[[.,.],[.,.]]]]
[[1,2,3,4],[5,6,7],[8],[9],[10]]=>[10,9,8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8,9,10]=>[[[[.,.],.],.],[[[.,.],.],[.,[.,[.,.]]]]]
[[1,2,3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,10,9]=>[[[[.,.],.],.],[[.,.],[[.,.],[[.,.],.]]]]
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[[1,2,9],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9]=>[9,2,1,4,3,6,5,8,7]=>[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]
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[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,10,1,8]=>[8,1,10,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[[1,8],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8]=>[8,1,9,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
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[[1,6],[2,7],[3,8],[4,9],[5]]=>[5,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[[1,5,9],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5,9]=>[9,5,1,6,2,7,3,8,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],.]
[[1,4,7],[2,5,8],[3,6,9]]=>[3,6,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,[.,.]]]
[[1,3,5,7,9],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9]=>[9,7,5,3,1,8,6,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]
[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,10,1,9]=>[9,1,10,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>[7,6,5,4,3,10,2,9,1,8]=>[8,1,9,2,10,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8,10]=>[10,8,1,9,2,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]
[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>[6,5,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[[1,4,7,10],[2,5,8],[3,6,9]]=>[3,6,9,2,5,8,1,4,7,10]=>[10,7,4,1,8,5,2,9,6,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],[.,[.,.]]],.]
[[1,3],[2,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,4],[2,5],[3,6],[7],[8],[9]]=>[9,8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8,9]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[[1,5],[2,6],[3,7],[4,8],[9]]=>[9,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[[1,3,5],[2,4,6],[7],[8],[9]]=>[9,8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8,9]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,.]]]]]
[[1,3,5,7],[2,4,6,8],[9]]=>[9,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,9]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]]
[[1,2,3,4,6,8],[5,7,9]]=>[5,7,9,1,2,3,4,6,8]=>[8,6,4,3,2,1,9,7,5]=>[[[[[[.,.],.],.],[.,.]],[.,.]],[.,.]]
[[1,2,3,4,5,6,8],[7,9]]=>[7,9,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,9,7]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]
[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>[10,9,8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8,9,10]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>[10,9,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,9,10]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[[1,3,5],[2,4,6],[7],[8],[9],[10]]=>[10,9,8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8,9,10]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,4,7],[2,5,8],[3,6,9],[10]]=>[10,3,6,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,6,3,10]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,3,5,7],[2,4,6,8],[9],[10]]=>[10,9,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,9,10]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[[1,2,3,4,5,7,9],[6,8,10]]=>[6,8,10,1,2,3,4,5,7,9]=>[9,7,5,4,3,2,1,10,8,6]=>[[[[[[[.,.],.],.],.],[.,.]],[.,.]],[.,.]]
[[1,2,3,4,5,6,7,9],[8,10]]=>[8,10,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,10,8]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]
[[1,3],[2,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7,10,9]=>[[.,[.,.]],[.,[[.,.],[[.,.],[[.,.],.]]]]]
[[1,4],[2,5],[3,6],[7,8],[9,10]]=>[9,10,7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7,10,9]=>[[.,[.,[.,.]]],[.,[.,[[.,.],[[.,.],.]]]]]
[[1,5],[2,6],[3,7],[4,8],[9,10]]=>[9,10,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,10,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[[.,.],.]]]]]
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>[6,12,5,11,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,11,5,12,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]
[[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,8,7]=>[[[[[[[.,.],.],.],.],.],[[.,.],.]],.]
[[1,2,3,4,5,6,9],[7],[8]]=>[8,7,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,7,8]=>[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]
[[1,2,3,4,5,9],[6],[7],[8]]=>[8,7,6,1,2,3,4,5,9]=>[9,5,4,3,2,1,6,7,8]=>[[[[[[.,.],.],.],.],[.,[.,[.,.]]]],.]
[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9]=>[9,2,1,3,4,5,6,7,8]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[1,3],[2,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,9,1,3]=>[3,1,9,2,4,5,6,7,8]=>[[.,[.,.]],[[.,[.,[.,[.,[.,.]]]]],.]]
[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9]=>[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]
[[1,2,3,4,5,6,7,10],[8,9]]=>[8,9,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,9,8]=>[[[[[[[[.,.],.],.],.],.],.],[[.,.],.]],.]
[[1,2,3,4,5,6,7,10],[8],[9]]=>[9,8,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,8,9]=>[[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]],.]
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2,10]=>[10,2,1,3,4,5,6,7,8,9]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[1,3],[2,5],[4,10],[6],[7],[8],[9]]=>[9,8,7,6,4,10,2,5,1,3]=>[3,1,5,2,10,4,6,7,8,9]=>[[.,[.,.]],[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[]=>[]=>[]=>.
[[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]
[[1,3,5,6,7,8,9],[2],[4]]=>[4,2,1,3,5,6,7,8,9]=>[9,8,7,6,5,3,1,2,4]=>[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.]
[[1,4,6,7,8,9],[2],[3],[5]]=>[5,3,2,1,4,6,7,8,9]=>[9,8,7,6,4,1,2,3,5]=>[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.]
[[1,5,7,8,9],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8,9]=>[9,8,7,5,1,2,3,4,6]=>[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.]
[[1,6,8,9],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8,9]=>[9,8,6,1,2,3,4,5,7]=>[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.]
[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7,9]=>[9,7,1,2,3,4,5,6,8]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[[1,4],[2,6],[3,8],[5],[7],[9]]=>[9,7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7,9]=>[[.,[.,[.,.]]],[[.,.],[[.,.],[.,.]]]]
[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,3]=>[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]
[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[10,8,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,8,10]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,9,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]
[[1,3,4,5,6,7,8],[2],[9]]=>[9,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,9]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]
[[1,3,4,5,6],[2],[7],[8],[9]]=>[9,8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8,9]=>[[[[[.,[.,.]],.],.],.],[.,[.,[.,.]]]]
[[1,3,4,5],[2],[6],[7],[8],[9]]=>[9,8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8,9]=>[[[[.,[.,.]],.],.],[.,[.,[.,[.,.]]]]]
[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,9]=>[[[.,[.,.]],.],[.,[.,[.,[.,[.,.]]]]]]
[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,3,4,5,6,7,8,9],[2,10]]=>[2,10,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,10,2]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]
[[1,3,4,5,6,7,8,9],[2],[10]]=>[10,2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2,10]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]
[[1,3,4,5,6,7,8],[2,9,10]]=>[2,9,10,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,10,9,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],[[.,.],.]]
[[1,3,4,5,6,7],[2],[8],[9],[10]]=>[10,9,8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8,9,10]=>[[[[[[.,[.,.]],.],.],.],.],[.,[.,[.,.]]]]
[[1,3,4,5,6],[2],[7],[8],[9],[10]]=>[10,9,8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8,9,10]=>[[[[[.,[.,.]],.],.],.],[.,[.,[.,[.,.]]]]]
[[1,3,4,5],[2,7,8],[6,10],[9]]=>[9,6,10,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,10,6,9]=>[[[[.,[.,.]],.],.],[[[.,.],.],[[.,.],.]]]
[[1,3,4],[2],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,9,10]=>[[[.,[.,.]],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>[10,8,6,4,2,1,9,7,5,3]=>[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]
[[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,1,4]=>[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]
[[1,2,3,4,6,7,8,9,10],[5]]=>[5,1,2,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,2,1,5]=>[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]
[[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,2,1,8]=>[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]
[[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,1,7]=>[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]
[[1,2,3,4,5,7,8,9,10],[6]]=>[6,1,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,1,6]=>[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]
[[1,2,4,5,6,7,8,9,10,11,12],[3]]=>[3,1,2,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,2,1,3]=>[[[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.],.]
[[1,2,3,4,6,7,8,9,10,11,12],[5]]=>[5,1,2,3,4,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,4,3,2,1,5]=>[[[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.],.],.]
[[1,2,3,4,5,6,7,8,9,10,12],[11]]=>[11,1,2,3,4,5,6,7,8,9,10,12]=>[12,10,9,8,7,6,5,4,3,2,1,11]=>[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]],.]
[[1,2,3,4,5,6,7,8,10,11,12],[9]]=>[9,1,2,3,4,5,6,7,8,10,11,12]=>[12,11,10,8,7,6,5,4,3,2,1,9]=>[[[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.],.],.]
[[1,2,3,4,5,6,8,9,10,11,12],[7]]=>[7,1,2,3,4,5,6,8,9,10,11,12]=>[12,11,10,9,8,6,5,4,3,2,1,7]=>[[[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.],.],.]
[[1,4,5,6,7,8],[2],[3],[9]]=>[9,3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3,9]=>[[[[[[.,[.,[.,.]]],.],.],.],.],[.,.]]
[[1,6,7,8,9],[2],[3],[4],[5],[10]]=>[10,5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5,10]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],[.,.]]
[[1,2,5,9],[3,4,8],[6,7],[10]]=>[10,6,7,3,4,8,1,2,5,9]=>[9,5,2,1,8,4,3,7,6,10]=>[[[[.,.],[[.,.],.]],[[[.,.],.],.]],[.,.]]
[[1,5,8,9],[2,7],[3],[4],[6],[10]]=>[10,6,4,3,2,7,1,5,8,9]=>[9,8,5,1,7,2,3,4,6,10]=>[[[[.,[.,[.,[.,.]]]],[[.,.],.]],.],[.,.]]
[[1,4,9],[2,6],[3,8],[5],[7],[10]]=>[10,7,5,3,8,2,6,1,4,9]=>[9,4,1,6,2,8,3,5,7,10]=>[[[.,[.,[.,.]]],[[.,.],[[.,.],.]]],[.,.]]
[[1,2,5,6,7,8,9],[3],[4]]=>[4,3,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,3,4]=>[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]
[[1,2],[3,8],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7,9]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[[1,2,4,7],[3,6,10],[5,9],[8]]=>[8,5,9,3,6,10,1,2,4,7]=>[7,4,2,1,10,6,3,9,5,8]=>[[[[.,.],[.,.]],[[.,.],.]],[[[.,.],.],.]]
[[1,2,4,5,6,7,8,9],[3],[10]]=>[10,3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3,10]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]]
[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9,10]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9,10]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>[10,9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9,10]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]=>[10,9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9,10]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]=>[10,9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9,10]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[[1,3],[2,5],[4,7],[6,9],[8,11],[10],[12]]=>[12,10,8,11,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,11,8,10,12]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10,11,12]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[[1,2],[3,4],[5,6],[7,9],[8]]=>[8,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,8]=>[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]
[[1,2,3,4,5,6,8],[7],[9]]=>[9,7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7,9]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]
[[1,2,3,4,5,7,9],[6,8]]=>[6,8,1,2,3,4,5,7,9]=>[9,7,5,4,3,2,1,8,6]=>[[[[[[[.,.],.],.],.],[.,.]],[.,.]],.]
[[1,2,3,4,5,6,7,9],[8],[10]]=>[10,8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8,10]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]
[[1,2,7],[3,8],[4,9],[5,10],[6]]=>[6,5,10,4,9,3,8,1,2,7]=>[7,2,1,8,3,9,4,10,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[[1,2,8],[3,9],[4,10],[5,11],[6,12],[7]]=>[7,6,12,5,11,4,10,3,9,1,2,8]=>[8,2,1,9,3,10,4,11,5,12,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,.]]]]]
[[1,3,10],[2],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,1,3,10]=>[10,3,1,2,4,5,6,7,8,9]=>[[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[1,7],[2,8],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6,9]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[1,3,5,7,8],[2,4,6],[9]]=>[9,2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2,9]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],[.,.]]
[[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,9,3]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]
[[1,3,5,7,9],[2,4,6,8],[10]]=>[10,2,4,6,8,1,3,5,7,9]=>[9,7,5,3,1,8,6,4,2,10]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[[1,2,4,5,6,7,8,9],[3,10]]=>[3,10,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,10,3]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]]
[[1,2],[3,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,9,1,2]=>[2,1,9,3,4,5,6,7,8]=>[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[[1,2],[3,10],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,10,1,2]=>[2,1,10,3,4,5,6,7,8,9]=>[[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[[1,5,10],[2,6],[3,7],[4,8],[9]]=>[9,4,8,3,7,2,6,1,5,10]=>[10,5,1,6,2,7,3,8,4,9]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]],.]
[[1,3,4,5,6,7,9],[2,8]]=>[2,8,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,8,2]=>[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]
[[1,2,3,4,5,6,8,9],[7,10]]=>[7,10,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,10,7]=>[[[[[[[[.,.],.],.],.],.],[.,.]],.],[.,.]]
[[1,2,3,4,5,7,8],[6,9]]=>[6,9,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,9,6]=>[[[[[[[.,.],.],.],.],[.,.]],.],[.,.]]
[[1,3,4,5,6,7,8,10],[2],[9]]=>[9,2,1,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,1,2,9]=>[[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]],.]
[[1,3,6,7],[2,5,10],[4,9],[8]]=>[8,4,9,2,5,10,1,3,6,7]=>[7,6,3,1,10,5,2,9,4,8]=>[[[[.,[.,.]],[[.,.],.]],.],[[[.,.],.],.]]
[[1,7,8],[2,9],[3],[4],[5],[6]]=>[6,5,4,3,2,9,1,7,8]=>[8,7,1,9,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,.]]
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
searching the database
Sorry, this map was not found in the database.