Identifier
Mp00075:
Semistandard tableaux
—reading word permutation⟶
Permutations
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0019;cc-rep-0Cc0010;cc-rep-3
[[1,2]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[2,2]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[1],[2]]=>[2,1]=>[2,1]=>[[.,.],.]
[[1,3]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[2,3]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[3,3]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[1],[3]]=>[2,1]=>[2,1]=>[[.,.],.]
[[2],[3]]=>[2,1]=>[2,1]=>[[.,.],.]
[[1,1,2]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,2]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,2]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[2]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,2],[2]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[2,4]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[3,4]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[4,4]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[1],[4]]=>[2,1]=>[2,1]=>[[.,.],.]
[[2],[4]]=>[2,1]=>[2,1]=>[[.,.],.]
[[3],[4]]=>[2,1]=>[2,1]=>[[.,.],.]
[[1,1,3]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,3]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,3,3]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,3]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,3,3]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,3,3]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[3]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,2],[3]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,3],[2]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,3],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,2],[3]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[2,3],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[3]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[1,1,1,2]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,2,2]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,2]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,2]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[2]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,2],[2]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,2,2],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,2]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,5]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[2,5]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[3,5]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[4,5]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[5,5]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[1],[5]]=>[2,1]=>[2,1]=>[[.,.],.]
[[2],[5]]=>[2,1]=>[2,1]=>[[.,.],.]
[[3],[5]]=>[2,1]=>[2,1]=>[[.,.],.]
[[4],[5]]=>[2,1]=>[2,1]=>[[.,.],.]
[[1,1,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,3,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,4,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,3,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,4,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,3,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,4,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,4,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[4]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,2],[4]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,4],[2]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,3],[4]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,4],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,2],[4]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[2,3],[4]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[2,4],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,4],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,3],[4]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[3,4],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[4]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[1],[3],[4]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[2],[3],[4]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[1,1,1,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,2,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[3]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,2],[3]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,3],[2]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,1,3],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,2,2],[3]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,2,3],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,3],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,3,3],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,3],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,2,2],[3]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,2,3],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,3,3],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,3]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[3,3]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,2],[2,3]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,2],[3,3]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,2],[3,3]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[2],[3]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,2],[2],[3]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,3],[2],[3]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,1,1,1,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,1,2],[2]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,2,2],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2,2],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1],[2,2]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,2],[2,2]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,6]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[2,6]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[3,6]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[4,6]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[5,6]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[6,6]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[1],[6]]=>[2,1]=>[2,1]=>[[.,.],.]
[[2],[6]]=>[2,1]=>[2,1]=>[[.,.],.]
[[3],[6]]=>[2,1]=>[2,1]=>[[.,.],.]
[[4],[6]]=>[2,1]=>[2,1]=>[[.,.],.]
[[5],[6]]=>[2,1]=>[2,1]=>[[.,.],.]
[[1,1,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,3,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,4,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,5,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,3,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,4,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,5,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,3,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,4,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,5,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,4,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,5,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[5,5,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[5]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,2],[5]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,5],[2]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,3],[5]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,5],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4],[5]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,5],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,5],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,2],[5]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[2,3],[5]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[2,5],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,4],[5]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[2,5],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,5],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,3],[5]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[3,4],[5]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[3,5],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,5],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[4,4],[5]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[4,5],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[5]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[1],[3],[5]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[1],[4],[5]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[2],[3],[5]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[2],[4],[5]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[3],[4],[5]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[1,1,1,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,2,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,2],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,4],[2]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,1,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,4],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,1,4],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,2,2],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,2,4],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,2,4],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,3,4],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,4],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,4,4],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,3,4],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,4],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,4,4],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,2,2],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,2,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,2,4],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,2,4],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,3,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,3,4],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,4],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,4,4],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,3,3],[4]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[3,3,4],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[3,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,4]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[3,4]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[4,4]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,2],[2,4]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,2],[3,4]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,3],[2,4]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,2],[4,4]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,3],[3,4]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,3],[4,4]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,2],[3,4]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,2],[4,4]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,3],[3,4]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[2,3],[4,4]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[3,3],[4,4]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[2],[4]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,1],[3],[4]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
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[[2,2],[3],[4]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
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[[1,1,1,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
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[[1,2,2,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
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[[1,3,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
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[[2,2,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
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[[1,1,1,1],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,1,2],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,1,3],[2]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,1,3],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,2,2],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
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[[1,1,2,3],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
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[[1,2,2,2],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
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[[1,3,3,3],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
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[[2,2,2,2],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[2,2,2,3],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[2,2,3,3],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,3,3],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
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[[1,1,1],[3,3]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,2],[2,3]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,1,3],[2,2]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,2],[3,3]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,3],[2,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,3],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,2,2],[2,3]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,2,2],[3,3]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,2,3],[2,3]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,3],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,2],[3,3]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
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[[1,1,1],[2],[3]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,2],[2],[3]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,1,3],[2],[3]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2],[2],[3]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
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[[1,3,3],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1],[2,2],[3]]=>[5,3,4,1,2]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[[1,1],[2,3],[3]]=>[4,3,5,1,2]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
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[[1,1,1,1,1,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,1],[2]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,1,1,2],[2]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,2,2],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2,2,2],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,2,2],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
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[[1,1,1,2],[2,2]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
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[[7,7]]=>[1,2]=>[1,2]=>[.,[.,.]]
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[[4],[7]]=>[2,1]=>[2,1]=>[[.,.],.]
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[[2,2,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
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[[3,5,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,6,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,4,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
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[[5,5,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
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[[1,3],[6]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,6],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4],[6]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
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[[2,2],[6]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
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[[2,6],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,4],[6]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[2,6],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,5],[6]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
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[[3,3],[6]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[3,4],[6]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
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[[4,4],[6]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
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[[5,5],[6]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
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[[1,1,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[5,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,2],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,5],[2]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,1,3],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,5],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,1,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,5],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,1,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,2,2],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,2,5],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,3],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,2,5],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,3,5],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,2,5],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,4,5],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,5,5],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,3],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,3,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,3,5],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,4,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,5,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,5,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,2,2],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,2,3],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,2,5],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,2,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,2,5],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,2,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,3,3],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,3,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,3,5],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,4,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,5,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,5,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,3,3],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[3,3,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[3,3,5],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[3,3,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[3,4,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[3,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,4,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[3,5,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[4,4,4],[5]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[4,4,5],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[4,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[3,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[4,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[5,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,2],[2,5]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,2],[3,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,3],[2,5]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,2],[4,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,4],[2,5]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,2],[5,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,3],[3,5]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,3],[4,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,4],[3,5]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,3],[5,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,4],[4,5]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,4],[5,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,2],[3,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,2],[4,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,2],[5,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,3],[3,5]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[2,3],[4,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,4],[3,5]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[2,3],[5,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,4],[4,5]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[2,4],[5,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[3,3],[4,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[3,3],[5,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[3,4],[4,5]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[3,4],[5,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[4,4],[5,5]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[2],[5]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,1],[3],[5]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,1],[4],[5]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,2],[2],[5]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,2],[3],[5]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,3],[2],[5]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,5],[2],[3]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,2],[4],[5]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,4],[2],[5]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,5],[2],[4]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,5],[2],[5]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,3],[3],[5]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,3],[4],[5]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,4],[3],[5]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,5],[3],[4]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,5],[3],[5]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,4],[4],[5]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,5],[4],[5]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,2],[3],[5]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[2,2],[4],[5]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[2,3],[3],[5]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[2,3],[4],[5]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[2,4],[3],[5]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[2,5],[3],[4]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,5],[3],[5]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,4],[4],[5]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[2,5],[4],[5]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[3,3],[4],[5]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[3,4],[4],[5]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[3,5],[4],[5]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1],[2],[3],[5]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1],[2],[4],[5]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1],[3],[4],[5]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[2],[3],[4],[5]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1,1,1,1,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,3,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,3,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[3,3,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[3,3,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[3,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[3,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[4,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,1,2],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,1,4],[2]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,1,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,1,4],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,1,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,2,2],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,2,4],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,2,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,2,4],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,3,4],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,2,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,4,4],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,3,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,4,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2,2],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,2,2,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,2,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,2,2,4],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,3,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,2,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,4,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,2,3,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,3,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,4,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,4,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,4,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,3,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[1,3,3,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,3,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,3,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,3,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,4,4,4],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,2,2,2],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[2,2,2,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[2,2,2,4],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[2,2,2,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[2,2,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[2,2,3,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[2,2,4,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[2,3,3,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,3,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[2,3,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,3,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,4,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,4,4,4],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,3,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[3,3,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[3,3,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[3,4,4,4],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1],[2,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,1],[3,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,1],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,2],[2,4]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,1,4],[2,2]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,2],[3,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,3],[2,4]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,1,4],[2,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,2],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,4],[2,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,3],[3,4]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,1,4],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,3],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,4],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,4],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,2,2],[2,4]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,2,2],[3,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,2,3],[2,4]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,2,4],[2,3]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,2],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,2,4],[2,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,3],[3,4]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,2,4],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,3],[2,4]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,2,3],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,2,4],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,4],[2,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,4],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,3],[3,4]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,3,3],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,3,4],[3,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,3,4],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,2],[3,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,2,2],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,2,3],[3,4]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[2,2,4],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,3],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,2,4],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,4],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,3,3],[3,4]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[2,3,3],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,3,4],[3,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[2,3,4],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[3,3,3],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[3,3,4],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,1],[2],[4]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,1],[3],[4]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,2],[2],[4]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,1,2],[3],[4]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,3],[2],[4]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,1,4],[2],[3]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,4],[2],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,3],[3],[4]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,1,4],[3],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2],[2],[4]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[[1,2,2],[3],[4]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,3],[2],[4]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[[1,2,4],[2],[3]]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[[1,2,4],[2],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[[1,2,3],[3],[4]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,3,3],[2],[4]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[[1,3,4],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,4],[3],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,4],[2],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[[1,4,4],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,4,4],[2],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,3,3],[3],[4]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[[1,3,4],[3],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[[1,4,4],[3],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,2,2],[3],[4]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[2,2,3],[3],[4]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[2,2,4],[3],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,3],[3],[4]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[[2,3,4],[3],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[[2,4,4],[3],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1],[2,2],[4]]=>[5,3,4,1,2]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[[1,1],[2,3],[4]]=>[5,3,4,1,2]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[[1,1],[2,4],[3]]=>[4,3,5,1,2]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[[1,1],[2,4],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[[1,1],[3,3],[4]]=>[5,3,4,1,2]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[[1,1],[3,4],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[[1,2],[2,3],[4]]=>[5,2,4,1,3]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[[1,2],[2,4],[3]]=>[4,2,5,1,3]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[[1,2],[2,4],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[[1,2],[3,3],[4]]=>[5,3,4,1,2]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[[1,3],[2,4],[3]]=>[3,2,5,1,4]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[[1,2],[3,4],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[[1,3],[2,4],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[[1,3],[3,4],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[[2,2],[3,3],[4]]=>[5,3,4,1,2]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[[2,2],[3,4],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[[2,3],[3,4],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[[1,1],[2],[3],[4]]=>[5,4,3,1,2]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,2],[2],[3],[4]]=>[5,4,2,1,3]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[[1,3],[2],[3],[4]]=>[5,3,2,1,4]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[[1,4],[2],[3],[4]]=>[4,3,2,1,5]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1,1,1,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[[2,2,2,2,2],[3]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
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[[2,2,2,3,3],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,3,3,3],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
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[[1,1,1,1],[2,3]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,1,1],[3,3]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,1,2],[2,3]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1,3],[2,2]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1,2],[3,3]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
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[[1,1,1,3],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,2,2],[2,3]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
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[[1,1,2,2],[3,3]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
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[[1,2,2,2],[2,3]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
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[[1,4,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,5,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,6,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
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[[2,3,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
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[[2,5,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,6,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,3,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
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[[3,5,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,6,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,4,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,5,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,6,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[5,5,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[5,6,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[5,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[6,6,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[6,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[7,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,2],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,7],[2]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,3],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,7],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,7],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,5],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,7],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,6],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[1,7],[6]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,7],[7]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,2],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[2,3],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[2,7],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,4],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[2,7],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,5],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[2,7],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,6],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[2,7],[6]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,7],[7]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,3],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[3,4],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[3,7],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,5],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[3,7],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,6],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[3,7],[6]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,7],[7]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[4,4],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[4,5],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[4,7],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[4,6],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[4,7],[6]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[4,7],[7]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[5,5],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[5,6],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[5,7],[6]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[5,7],[7]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[6,6],[7]]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[[6,7],[7]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[1],[3],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[1],[4],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[1],[5],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[1],[6],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[2],[3],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[2],[4],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[2],[5],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[2],[6],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[3],[4],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[3],[5],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[3],[6],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[4],[5],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[4],[6],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[5],[6],[7]]=>[3,2,1]=>[3,1,2]=>[[.,.],[.,.]]
[[1,1,1,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,2,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[5,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[5,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[5,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[6,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,2],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,6],[2]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,1,3],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,6],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,1,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,6],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,1,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,1,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,1,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,2,2],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,2,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,3],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,2,6],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,3,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,2,6],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,4,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,2,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,5,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,6,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,3],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,3,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,3,6],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,4,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,3,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,5,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,6,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,4,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[1,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[1,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,2,2],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,2,3],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,2,6],[3]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,2,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,2,6],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,2,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,2,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,2,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,3,3],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,3,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,3,6],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,4,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,3,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,5,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,6,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,4,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[2,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[2,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,3,3],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[3,3,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[3,3,6],[4]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[3,3,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[3,3,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[3,3,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[3,4,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[3,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,4,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[3,4,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[3,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[3,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[3,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[3,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[4,4,4],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[4,4,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[4,4,6],[5]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[4,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[4,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[4,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[4,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[4,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[4,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[5,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[[5,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[[5,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[3,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[4,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[5,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,2],[2,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,2],[3,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,3],[2,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,2],[4,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,4],[2,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,2],[5,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,5],[2,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,2],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,3],[3,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,3],[4,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,4],[3,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,3],[5,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,5],[3,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,3],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,4],[4,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,4],[5,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,5],[4,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,4],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,5],[5,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[1,5],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,2],[3,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,2],[4,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,2],[5,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,2],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,3],[3,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[2,3],[4,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,4],[3,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[2,3],[5,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,5],[3,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[2,3],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,4],[4,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[2,4],[5,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,5],[4,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[2,4],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[2,5],[5,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[2,5],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[3,3],[4,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[3,3],[5,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[3,3],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[3,4],[4,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[3,4],[5,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[3,5],[4,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[3,4],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[3,5],[5,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[3,5],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[4,4],[5,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[4,4],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[4,5],[5,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[[4,5],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[5,5],[6,6]]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[[1,1],[2],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,1],[3],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,1],[4],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,1],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,2],[2],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,2],[3],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,3],[2],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,6],[2],[3]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,2],[4],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,4],[2],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,6],[2],[4]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,2],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,5],[2],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,6],[2],[5]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,6],[2],[6]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,3],[3],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,3],[4],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,4],[3],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,6],[3],[4]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,3],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,5],[3],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,6],[3],[5]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,6],[3],[6]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,4],[4],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,4],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,5],[4],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,6],[4],[5]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,6],[4],[6]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,5],[5],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[1,6],[5],[6]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,2],[3],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[2,2],[4],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[2,2],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[2,3],[3],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[2,3],[4],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[2,4],[3],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[2,6],[3],[4]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,3],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[2,5],[3],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[2,6],[3],[5]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,6],[3],[6]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,4],[4],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[2,4],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[2,5],[4],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[2,6],[4],[5]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,6],[4],[6]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,5],[5],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[2,6],[5],[6]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[3,3],[4],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[3,3],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[3,4],[4],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[3,4],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[3,5],[4],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[3,6],[4],[5]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[3,6],[4],[6]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[3,5],[5],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[3,6],[5],[6]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[4,4],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[4,5],[5],[6]]=>[4,2,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[[4,6],[5],[6]]=>[3,2,1,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1],[2],[3],[6]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1],[2],[4],[6]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1],[2],[5],[6]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1],[3],[4],[6]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1],[3],[5],[6]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1],[4],[5],[6]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[2],[3],[4],[6]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[2],[3],[5],[6]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[2],[4],[5],[6]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[3],[4],[5],[6]]=>[4,3,2,1]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1,1,1,1,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,4,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,4,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,4,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,5,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,3,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,3,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
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[[3,5,5,5],[5]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[4,4,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[[4,4,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[[4,4,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[4,5,5,5],[5]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1],[2,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,1],[3,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,1],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,1],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,2],[2,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,1,5],[2,2]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,2],[3,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,3],[2,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,1,5],[2,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,2],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,4],[2,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,1,5],[2,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,2],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,5],[2,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,3],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,1,5],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,4],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,1,5],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,3],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,5],[3,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,4],[4,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,1,5],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,1,5],[4,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,2,2],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,2,2],[3,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,2,3],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,2,5],[2,3]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,2],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,2,4],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,2,5],[2,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,2],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,2,5],[2,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,3],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,2,5],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,3],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,2,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,2,4],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,2,5],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,4],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,3],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,2,5],[3,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,5],[2,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,4],[4,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,2,5],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,4,4],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,2,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,2,5],[4,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,4,5],[2,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,3],[3,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,3,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,3,4],[3,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,3,5],[3,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,3,3],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,3,5],[3,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,3,4],[4,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[1,3,5],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,4,4],[3,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,3,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,3,5],[4,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,4,5],[3,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,3,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,4,4],[4,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[1,4,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[1,4,5],[4,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[1,4,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,2],[3,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,2,2],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,2,2],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,2,3],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[2,2,5],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,2,4],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[2,2,5],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,3],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,2,5],[3,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,4],[4,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[2,2,5],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,2,5],[4,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,3,3],[3,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[2,3,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,3,4],[3,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[2,3,5],[3,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[2,3,3],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,3,5],[3,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[2,3,4],[4,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[2,3,5],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,4,4],[3,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[2,3,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,3,5],[4,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,4,5],[3,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[2,3,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[2,4,4],[4,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[2,4,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[2,4,5],[4,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[2,4,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[3,3,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[3,3,3],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[3,3,4],[4,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[[3,3,5],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[3,3,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[3,3,5],[4,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[3,3,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[3,4,4],[4,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[[3,4,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[3,4,5],[4,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[[3,4,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[4,4,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[[4,4,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,1],[2],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,1],[3],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,1],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,2],[2],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,1,2],[3],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,3],[2],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,1,5],[2],[3]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,2],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,4],[2],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,1,5],[2],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[2],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,3],[3],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,1,3],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,4],[3],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,1,5],[3],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[3],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,4],[4],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,1,5],[4],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[[1,2,2],[3],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,3],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[[1,2,5],[2],[3]]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[[1,2,2],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,4],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[[1,2,5],[2],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[[1,2,5],[2],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[[1,2,3],[3],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,3,3],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[[1,3,5],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,5],[3],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,5],[2],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[[1,5,5],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,4],[4],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[[1,4,4],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[[1,4,5],[2],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,5],[4],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,5],[2],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[[1,5,5],[2],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,5,5],[2],[5]]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
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[[1,2,2,2,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
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[[2,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
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[[3,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[[3,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
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[[3,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[3,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,1,1],[3,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
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[[1,1,1,2],[2,4]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1,4],[2,2]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1,2],[3,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,1,3],[2,4]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1,4],[2,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1,2],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,1,4],[2,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1,3],[3,4]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1,4],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,1,4],[3,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,2,2],[2,4]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,2,4],[2,2]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2,2],[3,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,2,3],[2,4]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,2,4],[2,3]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,1,3,4],[2,2]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2,2],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,2,4],[2,4]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,1,4,4],[2,2]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2,3],[3,4]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,2,4],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,3,3],[2,4]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,3,4],[2,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,2,4],[3,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,3,4],[2,4]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,1,4,4],[2,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,4,4],[2,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,3,3],[3,4]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,3,4],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,3,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,3,4],[3,4]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,1,4,4],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,3,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,4,4],[3,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,4,4],[4,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,2,2,2],[2,4]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,2,2,3],[2,4]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,2,2,4],[2,3]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,2,2,4],[2,4]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,2,3,3],[2,4]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,2,3,4],[2,3]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,2,3,4],[2,4]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,2,4,4],[2,3]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,2,4,4],[2,4]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,3,3,3],[2,4]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,3,3,4],[2,4]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,3,4,4],[2,4]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[2,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[2,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[2,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[2,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[2,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[2,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[2,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[2,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[2,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[2,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[2,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[2,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[2,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[2,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[2,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[2,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[[2,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[2,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[2,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[2,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[2,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[3,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[3,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[3,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,1,1],[2],[4]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,1],[3],[4]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,2],[2],[4]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,1,1,2],[3],[4]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,3],[2],[4]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,1,1,4],[2],[3]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,4],[2],[4]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,3],[3],[4]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,1,1,4],[3],[4]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2,2],[2],[4]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,1,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,2,3],[2],[4]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,1,2,4],[2],[3]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,1,2,4],[2],[4]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,1,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,1,3,3],[2],[4]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,1,3,4],[2],[3]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3,4],[2],[4]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,1,4,4],[2],[3]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,4,4],[2],[4]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,1,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,1,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,2],[2],[4]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,2,3],[2],[4]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,2,2,4],[2],[3]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,2,2,4],[2],[4]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,2,3,3],[2],[4]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,2,3,4],[2],[3]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3,4],[2],[4]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,2,4,4],[2],[3]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,2,4,4],[2],[4]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,3,3,3],[2],[4]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,3,3,4],[2],[3]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,3,3,4],[2],[4]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,3,4,4],[2],[3]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,4,4],[2],[4]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,4,4,4],[2],[3]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,4,4,4],[2],[4]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[[2,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[[2,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[2,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[[2,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[2,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[2,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,1,1],[2,2,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1],[2,3,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1],[2,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1],[3,3,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1],[3,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,2],[2,2,4]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,2],[2,3,4]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[[1,1,3],[2,2,4]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,2],[2,4,4]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[[1,1,2],[3,3,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,3],[2,3,4]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,2],[3,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,3],[2,4,4]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[[1,1,2],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,3],[3,3,4]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,3],[3,4,4]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[[1,1,3],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,2,2],[2,3,4]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[[1,2,2],[2,4,4]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[[1,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,2,3],[2,3,4]]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[[1,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,2,3],[2,4,4]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[[1,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[[1,3,3],[2,4,4]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[[1,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[[1,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[2,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[2,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[2,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[2,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[2,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[[2,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[2,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[[2,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[3,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1],[2,2],[4]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1],[2,3],[4]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1],[2,4],[3]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[[1,1,1],[2,4],[4]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[[1,1,1],[3,3],[4]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1],[3,4],[4]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[[1,1,2],[2,2],[4]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1,2],[2,3],[4]]=>[6,3,5,1,2,4]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,2],[2,4],[3]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[[1,1,3],[2,2],[4]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1,4],[2,2],[3]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2],[2,4],[4]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[[1,1,4],[2,2],[4]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,3],[2,3],[4]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1,3],[2,4],[3]]=>[4,3,6,1,2,5]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[[1,1,4],[2,3],[3]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,1,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[[1,1,3],[2,4],[4]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[[1,1,4],[2,3],[4]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,4],[2,4],[3]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,1,4],[2,4],[4]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,1,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[[1,1,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,2,2],[2,3],[4]]=>[6,2,5,1,3,4]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,2,2],[2,4],[3]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[[1,2,2],[2,4],[4]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[[1,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,2,3],[2,3],[4]]=>[6,2,4,1,3,5]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,2,3],[2,4],[3]]=>[4,2,6,1,3,5]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[[1,2,4],[2,3],[3]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[[1,2,3],[2,4],[4]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[[1,2,4],[2,3],[4]]=>[5,2,4,1,3,6]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,4],[2,4],[3]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,2,4],[2,4],[4]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,3,3],[2,4],[3]]=>[3,2,6,1,4,5]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[[1,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[[1,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,3,3],[2,4],[4]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[[1,3,4],[2,4],[3]]=>[3,2,5,1,4,6]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,3,4],[2,4],[4]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[[1,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[2,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[[2,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[[2,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[2,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[[2,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[2,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[2,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[[2,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,1,1],[2],[3],[4]]=>[6,5,4,1,2,3]=>[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2],[2],[3],[4]]=>[6,5,3,1,2,4]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,1,3],[2],[3],[4]]=>[6,4,3,1,2,5]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[[1,1,4],[2],[3],[4]]=>[5,4,3,1,2,6]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2],[2],[3],[4]]=>[6,5,2,1,3,4]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,2,3],[2],[3],[4]]=>[6,4,2,1,3,5]=>[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[[1,2,4],[2],[3],[4]]=>[5,4,2,1,3,6]=>[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,3,3],[2],[3],[4]]=>[6,3,2,1,4,5]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[[1,3,4],[2],[3],[4]]=>[5,3,2,1,4,6]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[[1,4,4],[2],[3],[4]]=>[4,3,2,1,5,6]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,1],[2,2],[3,4]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1],[2,2],[4,4]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1],[2,3],[3,4]]=>[4,6,3,5,1,2]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,1],[2,3],[4,4]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,2],[2,3],[3,4]]=>[4,6,2,5,1,3]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[[1,2],[2,3],[4,4]]=>[5,6,2,4,1,3]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[2,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1],[2,2],[3],[4]]=>[6,5,3,4,1,2]=>[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1],[2,3],[3],[4]]=>[6,4,3,5,1,2]=>[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,1],[2,4],[3],[4]]=>[5,4,3,6,1,2]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[[1,2],[2,3],[3],[4]]=>[6,4,2,5,1,3]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,2],[2,4],[3],[4]]=>[5,4,2,6,1,3]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[[1,3],[2,4],[3],[4]]=>[5,3,2,6,1,4]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[[1,1,1,1,1,1,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[[1,1,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[[1,1,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[[1,2,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[[1,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[[2,2,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[3,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[[1,1,1,1,1,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,1,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
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[[1,1,1,1,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,1,3,3],[2]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,1,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
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[[1,1,1,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,2,3,3],[2]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,3,3,3],[2]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,1,2,2,2,3],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,2,2,3,3],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,2,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,3,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,2,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,2,2,2,2,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,2,2,2,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,2,2,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
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[[1,3,3,3,3,3],[3]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
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[[2,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[2,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[2,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
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[[1,1,1,1,2],[2,3]]=>[5,7,1,2,3,4,6]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
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[[1,1,1,1,3],[2,3]]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
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[[1,1,1,2,2],[2,3]]=>[4,7,1,2,3,5,6]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
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[[1,1,1,2,3],[2,3]]=>[4,6,1,2,3,5,7]=>[2,3,5,4,6,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
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[[1,1,1,1],[2,3,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,1,1,1],[3,3,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,1,1,2],[2,2,3]]=>[4,5,7,1,2,3,6]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[[1,1,1,3],[2,2,2]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,1,1,2],[2,3,3]]=>[4,6,7,1,2,3,5]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[[1,1,1,3],[2,2,3]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,1,1,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,1,1,3],[2,3,3]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,1,1,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,1,2,2],[2,2,3]]=>[3,4,7,1,2,5,6]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[[1,1,2,2],[2,3,3]]=>[3,6,7,1,2,4,5]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[[1,1,2,3],[2,2,3]]=>[3,4,6,1,2,5,7]=>[2,5,3,4,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[[1,1,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,1,2,3],[2,3,3]]=>[3,5,6,1,2,4,7]=>[2,4,3,6,5,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[[1,1,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,2,2,2],[2,3,3]]=>[2,6,7,1,3,4,5]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[[1,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,2,2,3],[2,3,3]]=>[2,5,6,1,3,4,7]=>[3,2,4,6,5,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[[1,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[2,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[2,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,1,1,1],[2,2],[3]]=>[7,5,6,1,2,3,4]=>[2,3,4,7,6,1,5]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[[1,1,1,1],[2,3],[3]]=>[6,5,7,1,2,3,4]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[[1,1,1,2],[2,2],[3]]=>[7,4,5,1,2,3,6]=>[2,3,6,5,1,7,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[[1,1,1,2],[2,3],[3]]=>[6,4,7,1,2,3,5]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[[1,1,1,3],[2,2],[3]]=>[6,4,5,1,2,3,7]=>[2,3,6,5,1,4,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[[1,1,1,3],[2,3],[3]]=>[5,4,6,1,2,3,7]=>[2,3,6,5,4,1,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[[1,1,2,2],[2,2],[3]]=>[7,3,4,1,2,5,6]=>[2,5,4,1,6,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[[1,1,2,2],[2,3],[3]]=>[6,3,7,1,2,4,5]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[[1,1,2,3],[2,2],[3]]=>[6,3,4,1,2,5,7]=>[2,5,4,1,6,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[[1,1,2,3],[2,3],[3]]=>[5,3,6,1,2,4,7]=>[2,4,5,6,3,1,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[[1,1,3,3],[2,2],[3]]=>[5,3,4,1,2,6,7]=>[2,5,4,1,3,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[[1,1,3,3],[2,3],[3]]=>[4,3,5,1,2,6,7]=>[2,5,4,3,1,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[[1,2,2,2],[2,3],[3]]=>[6,2,7,1,3,4,5]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[[1,2,2,3],[2,3],[3]]=>[5,2,6,1,3,4,7]=>[3,5,4,6,2,1,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[[1,2,3,3],[2,3],[3]]=>[4,2,5,1,3,6,7]=>[3,4,5,2,1,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[[1,1,1],[2,2,2],[3]]=>[7,4,5,6,1,2,3]=>[2,3,7,5,6,1,4]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,1,1],[2,2,3],[3]]=>[6,4,5,7,1,2,3]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[[1,1,1],[2,3,3],[3]]=>[5,4,6,7,1,2,3]=>[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[[1,1,2],[2,2,3],[3]]=>[6,3,4,7,1,2,5]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[[1,1,2],[2,3,3],[3]]=>[5,3,6,7,1,2,4]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[[1,2,2],[2,3,3],[3]]=>[5,2,6,7,1,3,4]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[[1,1,1],[2,2],[3,3]]=>[6,7,4,5,1,2,3]=>[2,3,7,5,1,6,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[[1,1,2],[2,2],[3,3]]=>[6,7,3,4,1,2,5]=>[2,5,4,1,7,6,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[[1,1,3],[2,2],[3,3]]=>[5,6,3,4,1,2,7]=>[2,6,4,1,5,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[[1,1,1,1,1,1,1,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,1,1,1,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,1,1,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,1,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[2,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,1,1,1,1],[2]]=>[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[1,1,1,1,1,1,2],[2]]=>[7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[1,1,1,1,1,2,2],[2]]=>[6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,1,1,1,2,2,2],[2]]=>[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,1,1,2,2,2,2],[2]]=>[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,1,2,2,2,2,2],[2]]=>[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,2,2,2],[2]]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,1],[2,2]]=>[7,8,1,2,3,4,5,6]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[[1,1,1,1,1,2],[2,2]]=>[6,7,1,2,3,4,5,8]=>[2,3,4,5,7,6,1,8]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[[1,1,1,1,2,2],[2,2]]=>[5,6,1,2,3,4,7,8]=>[2,3,4,6,5,1,7,8]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[1,1,1,2,2,2],[2,2]]=>[4,5,1,2,3,6,7,8]=>[2,3,5,4,1,6,7,8]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[[1,1,2,2,2,2],[2,2]]=>[3,4,1,2,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[1,1,1,1,1],[2,2,2]]=>[6,7,8,1,2,3,4,5]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[[1,1,1,1,2],[2,2,2]]=>[5,6,7,1,2,3,4,8]=>[2,3,4,7,5,6,1,8]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[1,1,1,2,2],[2,2,2]]=>[4,5,6,1,2,3,7,8]=>[2,3,6,4,5,1,7,8]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[[1,1,1,1],[2,2,2,2]]=>[5,6,7,8,1,2,3,4]=>[2,3,4,8,5,6,7,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[[1]]=>[1]=>[1]=>[.,.]
[[1,1,1,1],[2,2,2],[3,3],[4]]=>[10,8,9,5,6,7,1,2,3,4]=>[2,3,4,10,6,7,1,9,5,8]=>[[.,[.,[.,[[.,.],[.,.]]]]],[[.,.],[.,.]]]
[[1,1,1,2],[2,2,2],[3,3],[4]]=>[10,8,9,4,5,6,1,2,3,7]=>[2,3,7,5,6,1,10,9,4,8]=>[[.,[.,[[.,.],[.,.]]]],[[[.,.],.],[.,.]]]
[[1,1,1,1],[2,2,3],[3,3],[4]]=>[10,7,8,5,6,9,1,2,3,4]=>[2,3,4,10,6,9,8,5,1,7]=>[[.,[.,[.,[[[.,.],[[.,.],.]],.]]]],[.,.]]
[[1,1,1,2],[2,2,3],[3,3],[4]]=>[10,7,8,4,5,9,1,2,3,6]=>[2,3,6,5,9,10,8,4,1,7]=>[[.,[.,[[[.,.],[[.,[.,.]],.]],.]]],[.,.]]
[[1,1,1,3],[2,2,3],[3,3],[4]]=>[10,6,7,4,5,8,1,2,3,9]=>[2,3,9,5,8,7,4,1,10,6]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],[[.,.],.]]
[[1,1,2,2],[2,2,3],[3,3],[4]]=>[10,7,8,3,4,9,1,2,5,6]=>[2,5,4,9,6,10,8,3,1,7]=>[[.,[[[.,.],[[.,.],[[.,.],.]]],.]],[.,.]]
[[1,1,2,3],[2,2,3],[3,3],[4]]=>[10,6,7,3,4,8,1,2,5,9]=>[2,5,4,8,9,7,3,1,10,6]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],[[.,.],.]]
[[1,1,1,1],[2,2,2],[3,4],[4]]=>[9,8,10,5,6,7,1,2,3,4]=>[2,3,4,10,6,7,1,9,8,5]=>[[.,[.,[.,[[.,.],[.,.]]]]],[[[.,.],.],.]]
[[1,1,1,2],[2,2,2],[3,4],[4]]=>[9,8,10,4,5,6,1,2,3,7]=>[2,3,7,5,6,1,10,9,8,4]=>[[.,[.,[[.,.],[.,.]]]],[[[[.,.],.],.],.]]
[[1,1,1,1],[2,2,3],[3,4],[4]]=>[9,7,10,5,6,8,1,2,3,4]=>[2,3,4,10,6,8,9,1,7,5]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],[[.,.],.]]
[[1,1,1,2],[2,2,3],[3,4],[4]]=>[9,7,10,4,5,8,1,2,3,6]=>[2,3,6,5,8,10,9,1,7,4]=>[[.,[.,[[.,.],[.,[[.,.],.]]]]],[[.,.],.]]
[[1,1,1,3],[2,2,3],[3,4],[4]]=>[9,6,10,4,5,7,1,2,3,8]=>[2,3,8,5,7,9,1,10,6,4]=>[[.,[.,[[.,.],[.,[.,.]]]]],[[[.,.],.],.]]
[[1,1,2,2],[2,2,3],[3,4],[4]]=>[9,7,10,3,4,8,1,2,5,6]=>[2,5,4,8,6,10,9,1,7,3]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]
[[1,1,2,3],[2,2,3],[3,4],[4]]=>[9,6,10,3,4,7,1,2,5,8]=>[2,5,4,7,8,9,1,10,6,3]=>[[.,[[.,.],[.,[.,[.,.]]]]],[[[.,.],.],.]]
[[1,1,1,1],[2,2,4],[3,4],[4]]=>[8,7,9,5,6,10,1,2,3,4]=>[2,3,4,10,6,9,8,7,5,1]=>[[.,[.,[.,[[[.,.],[[[.,.],.],.]],.]]]],.]
[[1,1,1,2],[2,2,4],[3,4],[4]]=>[8,7,9,4,5,10,1,2,3,6]=>[2,3,6,5,9,10,8,7,4,1]=>[[.,[.,[[[.,.],[[[.,[.,.]],.],.]],.]]],.]
[[1,1,1,3],[2,2,4],[3,4],[4]]=>[8,6,9,4,5,10,1,2,3,7]=>[2,3,7,5,9,8,10,6,4,1]=>[[.,[.,[[[.,.],[[[.,.],[.,.]],.]],.]]],.]
[[1,1,1,4],[2,2,4],[3,4],[4]]=>[7,6,8,4,5,9,1,2,3,10]=>[2,3,9,5,8,7,6,4,1,10]=>[[.,[.,[[[.,.],[[[.,.],.],.]],.]]],[.,.]]
[[1,1,2,2],[2,2,4],[3,4],[4]]=>[8,7,9,3,4,10,1,2,5,6]=>[2,5,4,9,6,10,8,7,3,1]=>[[.,[[[.,.],[[.,.],[[[.,.],.],.]]],.]],.]
[[1,1,2,3],[2,2,4],[3,4],[4]]=>[8,6,9,3,4,10,1,2,5,7]=>[2,5,4,9,7,8,10,6,3,1]=>[[.,[[[.,.],[[[.,.],[.,[.,.]]],.]],.]],.]
[[1,1,2,4],[2,2,4],[3,4],[4]]=>[7,6,8,3,4,9,1,2,5,10]=>[2,5,4,8,9,7,6,3,1,10]=>[[.,[[[.,.],[[[.,[.,.]],.],.]],.]],[.,.]]
[[1,1,1,1],[2,3,3],[3,4],[4]]=>[9,6,10,5,7,8,1,2,3,4]=>[2,3,4,10,7,9,8,1,6,5]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],[[.,.],.]]
[[1,1,1,2],[2,3,3],[3,4],[4]]=>[9,6,10,4,7,8,1,2,3,5]=>[2,3,5,7,10,9,8,1,6,4]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],[[.,.],.]]
[[1,1,1,3],[2,3,3],[3,4],[4]]=>[9,5,10,4,6,7,1,2,3,8]=>[2,3,8,6,9,7,1,10,5,4]=>[[.,[.,[[.,.],[[.,.],.]]]],[[[.,.],.],.]]
[[1,1,2,2],[2,3,3],[3,4],[4]]=>[9,6,10,3,7,8,1,2,4,5]=>[2,4,7,5,10,9,8,1,6,3]=>[[.,[.,[[.,.],[[[.,.],.],.]]]],[[.,.],.]]
[[1,1,2,3],[2,3,3],[3,4],[4]]=>[9,5,10,3,6,7,1,2,4,8]=>[2,4,6,8,9,7,1,10,5,3]=>[[.,[.,[.,[[.,[.,.]],.]]]],[[[.,.],.],.]]
[[1,1,1,1],[2,3,4],[3,4],[4]]=>[8,6,9,5,7,10,1,2,3,4]=>[2,3,4,10,7,8,9,6,5,1]=>[[.,[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]],.]
[[1,1,1,2],[2,3,4],[3,4],[4]]=>[8,6,9,4,7,10,1,2,3,5]=>[2,3,5,7,10,8,9,6,4,1]=>[[.,[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]],.]
[[1,1,1,3],[2,3,4],[3,4],[4]]=>[8,5,9,4,6,10,1,2,3,7]=>[2,3,7,6,8,9,10,5,4,1]=>[[.,[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]],.]
[[1,1,1,4],[2,3,4],[3,4],[4]]=>[7,5,8,4,6,9,1,2,3,10]=>[2,3,9,6,7,8,5,4,1,10]=>[[.,[.,[[[[.,.],[.,[.,.]]],.],.]]],[.,.]]
[[1,1,2,2],[2,3,4],[3,4],[4]]=>[8,6,9,3,7,10,1,2,4,5]=>[2,4,7,5,10,8,9,6,3,1]=>[[.,[[.,[[.,.],[[[.,.],[.,.]],.]]],.]],.]
[[1,1,2,3],[2,3,4],[3,4],[4]]=>[8,5,9,3,6,10,1,2,4,7]=>[2,4,6,7,8,9,10,5,3,1]=>[[.,[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]],.]
[[1,1,2,4],[2,3,4],[3,4],[4]]=>[7,5,8,3,6,9,1,2,4,10]=>[2,4,6,9,7,8,5,3,1,10]=>[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],[.,.]]
[[1,1,3,3],[2,3,4],[3,4],[4]]=>[8,4,9,3,5,10,1,2,6,7]=>[2,6,5,8,9,7,10,4,3,1]=>[[.,[[[[.,.],[[.,[.,.]],[.,.]]],.],.]],.]
[[1,1,3,4],[2,3,4],[3,4],[4]]=>[7,4,8,3,5,9,1,2,6,10]=>[2,6,5,7,8,9,4,3,1,10]=>[[.,[[[[.,.],[.,[.,[.,.]]]],.],.]],[.,.]]
[[1,2,2,2],[2,3,3],[3,4],[4]]=>[9,6,10,2,7,8,1,3,4,5]=>[3,7,4,5,10,9,8,1,6,2]=>[[.,[[.,.],[.,[[[.,.],.],.]]]],[[.,.],.]]
[[1,2,2,3],[2,3,3],[3,4],[4]]=>[9,5,10,2,6,7,1,3,4,8]=>[3,6,4,8,9,7,1,10,5,2]=>[[.,[[.,.],[[.,[.,.]],.]]],[[[.,.],.],.]]
[[1,2,2,2],[2,3,4],[3,4],[4]]=>[8,6,9,2,7,10,1,3,4,5]=>[3,7,4,5,10,8,9,6,2,1]=>[[[.,[[.,.],[.,[[[.,.],[.,.]],.]]]],.],.]
[[1,2,2,3],[2,3,4],[3,4],[4]]=>[8,5,9,2,6,10,1,3,4,7]=>[3,6,4,7,8,9,10,5,2,1]=>[[[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]],.],.]
[[1,2,2,4],[2,3,4],[3,4],[4]]=>[7,5,8,2,6,9,1,3,4,10]=>[3,6,4,9,7,8,5,2,1,10]=>[[[.,[[.,.],[[[.,.],[.,.]],.]]],.],[.,.]]
[[1,2,3,3],[2,3,4],[3,4],[4]]=>[8,4,9,2,5,10,1,3,6,7]=>[3,5,6,8,9,7,10,4,2,1]=>[[[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]],.],.]
[[1,2,3,4],[2,3,4],[3,4],[4]]=>[7,4,8,2,5,9,1,3,6,10]=>[3,5,6,7,8,9,4,2,1,10]=>[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],[.,.]]
[[2]]=>[1]=>[1]=>[.,.]
[[1,1]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[3]]=>[1]=>[1]=>[.,.]
[[1,1,1]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4]]=>[1]=>[1]=>[.,.]
[[1,1,1,1]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[5]]=>[1]=>[1]=>[.,.]
[[1,1,1,1,1]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[6]]=>[1]=>[1]=>[.,.]
[[1,1,1,1,1,1]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[3,1,6,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,1,1,1,2,2,2],[3,3],[4]]=>[10,8,9,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,1,8]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],[.,.]]
[[1,1,1,2,2,2,2],[3,3],[4]]=>[10,8,9,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,1,8]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],[.,.]]
[[1,1,1,1,2,2,2],[3,4],[4]]=>[9,8,10,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.]
[[1,1,1,2,2,2,2],[3,4],[4]]=>[9,8,10,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.]
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottommost row (in English notation).
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
searching the database
Sorry, this map was not found in the database.