Identifier
Mp00084:
Standard tableaux
—conjugate⟶
Standard tableaux
Mp00081: Standard tableaux —reading word permutation⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00081: Standard tableaux —reading word permutation⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
=>
Cc0007;cc-rep-0Cc0007;cc-rep-1Cc0010;cc-rep-3
[[1]]=>[[1]]=>[1]=>[.,.]
[[1,2]]=>[[1],[2]]=>[2,1]=>[[.,.],.]
[[1],[2]]=>[[1,2]]=>[1,2]=>[.,[.,.]]
[[1,2,3]]=>[[1],[2],[3]]=>[3,2,1]=>[[[.,.],.],.]
[[1,3],[2]]=>[[1,2],[3]]=>[3,1,2]=>[[.,[.,.]],.]
[[1,2],[3]]=>[[1,3],[2]]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[3]]=>[[1,2,3]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,3,4]]=>[[1],[2],[3],[4]]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[[1,3,4],[2]]=>[[1,2],[3],[4]]=>[4,3,1,2]=>[[[.,[.,.]],.],.]
[[1,2,4],[3]]=>[[1,3],[2],[4]]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,2,3],[4]]=>[[1,4],[2],[3]]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[[1,3],[2,4]]=>[[1,2],[3,4]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[1,2],[3,4]]=>[[1,3],[2,4]]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,4],[2],[3]]=>[[1,2,3],[4]]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,3],[2],[4]]=>[[1,2,4],[3]]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,2],[3],[4]]=>[[1,3,4],[2]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1],[2],[3],[4]]=>[[1,2,3,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,3,4,5]]=>[[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]
[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[[[.,[.,.]],[.,.]],.]
[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[[[.,[.,.]],.],[.,.]]
[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]=>[4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1],[2],[3],[4],[5]]=>[[1,2,3,4,5]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,4,5,6]]=>[[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]
[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],.]
[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]
[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]
[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]
[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],.]
[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],.]
[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],.]
[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],.]
[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],.]
[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],.]
[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,.]]
[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,.]]
[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]
[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],.]
[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],.]
[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]
[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],.]
[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[[[.,[.,.]],.],[[.,.],.]]
[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[[.,.],.]]
[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[[[.,.],.],[[.,[.,.]],.]]
[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,.]]
[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],.]
[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],.]
[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],.]
[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[[.,.],[[.,.],[[.,.],.]]]
[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4,5,6,7]]=>[[1],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]
[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],.]
[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]
[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]
[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]
[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],.],.]
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[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
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[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]
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[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
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[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
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[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
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[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
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[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
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[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
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[[1,3,4],[2,5,7],[6],[8]]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
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[[1,2,7],[3,4],[5,8],[6]]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[[1,5,6],[2,7],[3,8],[4]]=>[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
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[[1,3,6],[2,7],[4,8],[5]]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[[1,2,6],[3,7],[4,8],[5]]=>[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[[1,4,5],[2,7],[3,8],[6]]=>[[1,2,3,6],[4,7,8],[5]]=>[5,4,7,8,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[[1,3,5],[2,7],[4,8],[6]]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[[1,3,4],[2,7],[5,8],[6]]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[[1,2,3],[4,7],[5,8],[6]]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[[1,4,6],[2,5],[3,8],[7]]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[[1,3,6],[2,5],[4,8],[7]]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
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[[1,2,6],[3,4],[5,8],[7]]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[[1,2,5],[3,6],[4,8],[7]]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[[1,2,4],[3,6],[5,8],[7]]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[[1,2,3],[4,6],[5,8],[7]]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[[1,2,5],[3,4],[6,8],[7]]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[[1,3,4],[2,5],[6,8],[7]]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]
[[1,2,4],[3,5],[6,8],[7]]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
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[[1,4,7],[2,5],[3,6],[8]]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,3,6],[2,5],[4,7],[8]]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
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[[1,2,4],[3,6],[5,7],[8]]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
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[[1,6,7],[2,8],[3],[4],[5]]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
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[[1,2,4],[3,8],[5],[6],[7]]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
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[[1,5,7],[2,6],[3],[4],[8]]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[[1,4,7],[2,6],[3],[5],[8]]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[[1,3,7],[2,6],[4],[5],[8]]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[[1,4,7],[2,5],[3],[6],[8]]=>[[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,3,7],[2,5],[4],[6],[8]]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[[1,3,7],[2,4],[5],[6],[8]]=>[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[[1,5,6],[2,7],[3],[4],[8]]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[[1,4,6],[2,7],[3],[5],[8]]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,3,6],[2,7],[4],[5],[8]]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[[1,2,6],[3,7],[4],[5],[8]]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[[1,4,5],[2,7],[3],[6],[8]]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[[1,3,5],[2,7],[4],[6],[8]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[[1,3,6],[2,5],[4],[7],[8]]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[[1,2,6],[3,4],[5],[7],[8]]=>[[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
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[]=>[]=>[]=>.
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[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,1,2,3,4,6,7,8,9,10]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[6,1,2,3,4,5,7,8,9,10]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[[1,2,4,5,6,7,8,9,10,11,12],[3]]=>[3,1,2,4,5,6,7,8,9,10,11,12]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[[1,2,3,4,5,6,8],[7],[9]]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7,9]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]
[[1,2,3,4,5,6,7,9],[8],[10]]=>[[1,8,10],[2],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,1,8,10]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]
[[1,2,7],[3,8],[4,9],[5,10],[6]]=>[[1,3,4,5,6],[2,8,9,10],[7]]=>[7,2,8,9,10,1,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[[1,2,6,9],[3,7,10],[4,8],[5]]=>[[1,3,4,5],[2,7,8],[6,10],[9]]=>[9,6,10,2,7,8,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]],[.,.]]
[[1,2,4,8],[3,5],[6,9],[7,10]]=>[[1,3,6,7],[2,5,9,10],[4],[8]]=>[8,4,2,5,9,10,1,3,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],[.,[.,.]]]
[[1,2,8],[3,9],[4,10],[5,11],[6,12],[7]]=>[[1,3,4,5,6,7],[2,9,10,11,12],[8]]=>[8,2,9,10,11,12,1,3,4,5,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,.]]]]]
[[1,6],[2,8],[3,9],[4],[5],[7]]=>[[1,2,3,4,5,7],[6,8,9]]=>[6,8,9,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],[.,.]]]
[[1,5],[2,7],[3,8],[4,9],[6]]=>[[1,2,3,4,6],[5,7,8,9]]=>[5,7,8,9,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,[.,.]]]]
[[1,7],[2,8],[3],[4],[5],[6],[9]]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[1,8],[2,9],[3],[4],[5],[6],[7],[10]]=>[[1,2,3,4,5,6,7,10],[8,9]]=>[8,9,1,2,3,4,5,6,7,10]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[1,6],[2,7],[3,8],[4,9],[5],[10]]=>[[1,2,3,4,5,10],[6,7,8,9]]=>[6,7,8,9,1,2,3,4,5,10]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[[1,2],[3,9],[4],[5],[6],[7],[8]]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[[1,2],[3,10],[4],[5],[6],[7],[8],[9]]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,10,1,3,4,5,6,7,8,9]=>[[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[[1,2,3],[4,9],[5],[6],[7],[8]]=>[[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>[[[.,.],.],[[.,[.,[.,[.,[.,.]]]]],.]]
[[1,3,9],[2,4],[5,8],[6],[7]]=>[[1,2,5,6,7],[3,4,8],[9]]=>[9,3,4,8,1,2,5,6,7]=>[[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]],.]
[[1,2,3,4,5,6],[7,9],[8]]=>[[1,7,8],[2,9],[3],[4],[5],[6]]=>[6,5,4,3,2,9,1,7,8]=>[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]
[[1,2,3,4,5,6,7],[8,10],[9]]=>[[1,8,9],[2,10],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,10,1,8,9]=>[[[[[[[.,.],.],.],.],.],.],[[.,[.,.]],.]]
[[1,3,5,7,10],[2,4,6,8],[9]]=>[[1,2,9],[3,4],[5,6],[7,8],[10]]=>[10,7,8,5,6,3,4,1,2,9]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]],.]
[[1,2,4,8],[3,5,9],[6,10],[7]]=>[[1,3,6,7],[2,5,10],[4,9],[8]]=>[8,4,9,2,5,10,1,3,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],[.,[.,.]]]
[[1,2,9],[3],[4],[5],[6],[7],[8],[10]]=>[[1,3,4,5,6,7,8,10],[2],[9]]=>[9,2,1,3,4,5,6,7,8,10]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[1,5,7,9,11],[2,6,8,10,12],[3],[4]]=>[[1,2,3,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]],[.,.]]
[[1,7,8],[2,9],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7,9],[8]]=>[8,7,9,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,.]]
[[1,6],[2,9],[3],[4],[5],[7],[8]]=>[[1,2,3,4,5,7,8],[6,9]]=>[6,9,1,2,3,4,5,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[[.,[.,.]],.]]
[[1,7],[2,10],[3],[4],[5],[6],[8],[9]]=>[[1,2,3,4,5,6,8,9],[7,10]]=>[7,10,1,2,3,4,5,6,8,9]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,[.,.]],.]]
Map
conjugate
Description
Sends a standard tableau to its conjugate tableau.
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
searching the database
Sorry, this map was not found in the database.