Identifier
Mp00081:
Standard tableaux
—reading word permutation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
[[1]] => [1] => [1] => [.,.]
[[1,2]] => [1,2] => [1,2] => [.,[.,.]]
[[1],[2]] => [2,1] => [2,1] => [[.,.],.]
[[1,2,3]] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,3],[2]] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,2],[3]] => [3,1,2] => [3,1,2] => [[.,[.,.]],.]
[[1],[2],[3]] => [3,2,1] => [2,3,1] => [[.,.],[.,.]]
[[1,2,3,4]] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,3,4],[2]] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,2,4],[3]] => [3,1,2,4] => [3,1,2,4] => [[.,[.,.]],[.,.]]
[[1,2,3],[4]] => [4,1,2,3] => [4,1,2,3] => [[.,[.,[.,.]]],.]
[[1,3],[2,4]] => [2,4,1,3] => [4,2,1,3] => [[[.,.],[.,.]],.]
[[1,2],[3,4]] => [3,4,1,2] => [4,1,3,2] => [[.,[[.,.],.]],.]
[[1,4],[2],[3]] => [3,2,1,4] => [2,3,1,4] => [[.,.],[.,[.,.]]]
[[1,3],[2],[4]] => [4,2,1,3] => [2,4,1,3] => [[.,.],[[.,.],.]]
[[1,2],[3],[4]] => [4,3,1,2] => [3,1,4,2] => [[.,[.,.]],[.,.]]
[[1],[2],[3],[4]] => [4,3,2,1] => [2,3,4,1] => [[.,.],[.,[.,.]]]
[[1,2,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,3,4,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,4,5],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,2,3,5],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => [[.,[.,[.,.]]],[.,.]]
[[1,2,3,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => [[.,[.,[.,[.,.]]]],.]
[[1,3,5],[2,4]] => [2,4,1,3,5] => [4,2,1,3,5] => [[[.,.],[.,.]],[.,.]]
[[1,2,5],[3,4]] => [3,4,1,2,5] => [4,1,3,2,5] => [[.,[[.,.],.]],[.,.]]
[[1,3,4],[2,5]] => [2,5,1,3,4] => [5,2,1,3,4] => [[[.,.],[.,[.,.]]],.]
[[1,2,4],[3,5]] => [3,5,1,2,4] => [5,1,3,2,4] => [[.,[[.,.],[.,.]]],.]
[[1,2,3],[4,5]] => [4,5,1,2,3] => [5,1,2,4,3] => [[.,[.,[[.,.],.]]],.]
[[1,4,5],[2],[3]] => [3,2,1,4,5] => [2,3,1,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,3,5],[2],[4]] => [4,2,1,3,5] => [2,4,1,3,5] => [[.,.],[[.,.],[.,.]]]
[[1,2,5],[3],[4]] => [4,3,1,2,5] => [3,1,4,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,4],[2],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => [[.,.],[[.,[.,.]],.]]
[[1,2,4],[3],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => [[.,[.,.]],[[.,.],.]]
[[1,2,3],[4],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => [[.,[.,[.,.]]],[.,.]]
[[1,4],[2,5],[3]] => [3,2,5,1,4] => [5,3,2,1,4] => [[[[.,.],.],[.,.]],.]
[[1,3],[2,5],[4]] => [4,2,5,1,3] => [5,4,1,2,3] => [[[.,[.,[.,.]]],.],.]
[[1,2],[3,5],[4]] => [4,3,5,1,2] => [5,1,4,3,2] => [[.,[[[.,.],.],.]],.]
[[1,3],[2,4],[5]] => [5,2,4,1,3] => [4,5,1,2,3] => [[.,[.,[.,.]]],[.,.]]
[[1,2],[3,4],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => [[.,[[.,.],.]],[.,.]]
[[1,5],[2],[3],[4]] => [4,3,2,1,5] => [2,3,4,1,5] => [[.,.],[.,[.,[.,.]]]]
[[1,4],[2],[3],[5]] => [5,3,2,1,4] => [2,3,5,1,4] => [[.,.],[.,[[.,.],.]]]
[[1,3],[2],[4],[5]] => [5,4,2,1,3] => [2,4,1,5,3] => [[.,.],[[.,.],[.,.]]]
[[1,2],[3],[4],[5]] => [5,4,3,1,2] => [3,1,4,5,2] => [[.,[.,.]],[.,[.,.]]]
[[1],[2],[3],[4],[5]] => [5,4,3,2,1] => [2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]]
[[1,2,3,4,5,6]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => [[.,[[.,.],.]],[.,[.,.]]]
[[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => [5,2,1,3,4,6] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => [5,1,3,2,4,6] => [[.,[[.,.],[.,.]]],[.,.]]
[[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => [[.,[.,[[.,.],.]]],[.,.]]
[[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => [6,2,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],.]
[[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => [6,1,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],.]
[[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => [6,1,2,4,3,5] => [[.,[.,[[.,.],[.,.]]]],.]
[[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => [[.,[.,[.,[[.,.],.]]]],.]
[[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]]
[[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]]
[[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => [[.,[.,[.,.]]],[[.,.],.]]
[[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [6,2,1,4,3,5] => [[[.,.],[[.,.],[.,.]]],.]
[[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => [6,1,3,4,2,5] => [[.,[[.,.],[.,[.,.]]]],.]
[[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => [6,2,1,3,5,4] => [[[.,.],[.,[[.,.],.]]],.]
[[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => [6,1,3,2,5,4] => [[.,[[.,.],[[.,.],.]]],.]
[[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => [[.,[.,[[.,.],[.,.]]]],.]
[[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [5,3,2,1,4,6] => [[[[.,.],.],[.,.]],[.,.]]
[[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [5,4,1,2,3,6] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => [[.,[[[.,.],.],.]],[.,.]]
[[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => [4,5,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]]
[[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [6,3,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],.]
[[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [6,4,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => [6,1,4,3,2,5] => [[.,[[[.,.],.],[.,.]]],.]
[[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [6,5,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],.]
[[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => [6,1,5,2,3,4] => [[.,[[.,[.,[.,.]]],.]],.]
[[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],.]
[[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => [4,6,1,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]]
[[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => [[.,[[.,.],.]],[[.,.],.]]
[[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => [5,6,1,3,2,4] => [[.,[[.,.],[.,.]]],[.,.]]
[[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => [5,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => [[.,[.,[[.,.],.]]],[.,.]]
[[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => [2,3,4,1,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => [2,3,5,1,4,6] => [[.,.],[.,[[.,.],[.,.]]]]
[[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => [2,4,1,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => [3,1,4,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => [2,3,6,1,4,5] => [[.,.],[.,[[.,[.,.]],.]]]
[[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => [2,4,1,6,3,5] => [[.,.],[[.,.],[[.,.],.]]]
[[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => [3,1,4,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]]
[[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => [2,5,1,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => [3,1,5,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => [4,1,2,5,6,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [5,6,3,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [5,6,1,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]]
>>> Load all 1018 entries. <<<
[[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => [5,1,6,4,3,2] => [[.,[[[.,.],.],.]],[.,.]]
[[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => [4,6,1,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]]
[[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => [[.,[[.,.],.]],[[.,.],.]]
[[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [6,3,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],.]
[[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [6,3,5,1,2,4] => [[[.,[.,.]],[[.,.],.]],.]
[[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [6,4,1,5,2,3] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => [6,1,4,5,3,2] => [[.,[[[.,.],.],[.,.]]],.]
[[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [5,3,6,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [5,4,1,6,2,3] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => [5,1,4,6,3,2] => [[.,[[[.,.],.],.]],[.,.]]
[[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => [4,5,1,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => [4,1,5,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]]
[[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [2,3,4,5,1,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [2,3,4,6,1,5] => [[.,.],[.,[.,[[.,.],.]]]]
[[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => [2,3,5,1,6,4] => [[.,.],[.,[[.,.],[.,.]]]]
[[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => [2,4,1,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]]
[[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => [3,1,4,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => [2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,4,5,6,7]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => [4,2,1,3,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => [5,2,1,3,4,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => [5,1,3,2,4,6,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => [6,2,1,3,4,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]]
[[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => [6,1,3,2,4,5,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]]
[[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => [6,1,2,4,3,5,7] => [[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => [[.,[.,[.,[[.,.],.]]]],[.,.]]
[[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => [7,2,1,3,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.]
[[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => [7,1,3,2,4,5,6] => [[.,[[.,.],[.,[.,[.,.]]]]],.]
[[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => [7,1,2,4,3,5,6] => [[.,[.,[[.,.],[.,[.,.]]]]],.]
[[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => [7,1,2,3,5,4,6] => [[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => [[.,[.,[.,[.,[[.,.],.]]]]],.]
[[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => [2,4,1,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => [3,1,4,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => [2,5,1,3,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => [3,1,5,2,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => [4,1,2,5,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => [2,6,1,3,4,5,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => [3,1,6,2,4,5,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => [4,1,2,6,3,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => [5,1,2,3,6,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => [2,7,1,3,4,5,6] => [[.,.],[[.,[.,[.,[.,.]]]],.]]
[[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => [3,1,7,2,4,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],.]]
[[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => [4,1,2,7,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => [5,1,2,3,7,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => [6,1,2,3,4,7,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => [6,2,1,4,3,5,7] => [[[.,.],[[.,.],[.,.]]],[.,.]]
[[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => [6,1,3,4,2,5,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]]
[[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => [6,2,1,3,5,4,7] => [[[.,.],[.,[[.,.],.]]],[.,.]]
[[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => [6,1,3,2,5,4,7] => [[.,[[.,.],[[.,.],.]]],[.,.]]
[[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => [[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => [7,2,1,4,3,5,6] => [[[.,.],[[.,.],[.,[.,.]]]],.]
[[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => [7,1,3,4,2,5,6] => [[.,[[.,.],[.,[.,[.,.]]]]],.]
[[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => [7,2,1,3,5,4,6] => [[[.,.],[.,[[.,.],[.,.]]]],.]
[[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => [7,1,3,2,5,4,6] => [[.,[[.,.],[[.,.],[.,.]]]],.]
[[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => [7,1,2,4,5,3,6] => [[.,[.,[[.,.],[.,[.,.]]]]],.]
[[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => [7,2,1,3,4,6,5] => [[[.,.],[.,[.,[[.,.],.]]]],.]
[[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => [7,1,3,2,4,6,5] => [[.,[[.,.],[.,[[.,.],.]]]],.]
[[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => [7,1,2,4,3,6,5] => [[.,[.,[[.,.],[[.,.],.]]]],.]
[[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => [[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => [5,3,2,1,4,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]]
[[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => [5,4,1,2,3,6,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]]
[[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => [5,1,4,3,2,6,7] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => [4,5,1,2,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => [4,1,5,3,2,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => [6,3,2,1,4,5,7] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => [6,4,1,2,3,5,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => [6,1,4,3,2,5,7] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => [6,5,1,3,2,4,7] => [[[.,[[.,.],[.,.]]],.],[.,.]]
[[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => [6,1,5,2,3,4,7] => [[.,[[.,[.,[.,.]]],.]],[.,.]]
[[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => [6,1,2,5,4,3,7] => [[.,[.,[[[.,.],.],.]]],[.,.]]
[[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => [4,6,1,2,3,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => [4,1,6,3,2,5,7] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => [5,6,1,3,2,4,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => [5,1,6,2,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => [5,1,2,6,4,3,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => [7,3,2,1,4,5,6] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => [7,4,1,2,3,5,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.]
[[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => [7,1,4,3,2,5,6] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => [7,5,1,3,2,4,6] => [[[.,[[.,.],[.,.]]],[.,.]],.]
[[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => [7,1,5,2,3,4,6] => [[.,[[.,[.,[.,.]]],[.,.]]],.]
[[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => [7,1,2,5,4,3,6] => [[.,[.,[[[.,.],.],[.,.]]]],.]
[[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => [7,6,1,3,4,2,5] => [[[.,[[.,.],[.,[.,.]]]],.],.]
[[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => [7,1,6,2,4,3,5] => [[.,[[.,[[.,.],[.,.]]],.]],.]
[[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => [7,1,2,6,3,4,5] => [[.,[.,[[.,[.,[.,.]]],.]]],.]
[[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => [7,1,2,3,6,5,4] => [[.,[.,[.,[[[.,.],.],.]]]],.]
[[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => [4,7,1,2,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => [4,1,7,3,2,5,6] => [[.,[[.,.],.]],[[.,[.,.]],.]]
[[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => [5,7,1,3,2,4,6] => [[.,[[.,.],[.,.]]],[[.,.],.]]
[[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => [5,1,7,2,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => [5,1,2,7,4,3,6] => [[.,[.,[[.,.],.]]],[[.,.],.]]
[[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => [6,7,1,3,4,2,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]]
[[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => [6,1,7,2,4,3,5] => [[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => [6,1,2,7,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => [6,1,2,3,7,5,4] => [[.,[.,[.,[[.,.],.]]]],[.,.]]
[[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => [2,3,4,1,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => [2,3,5,1,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => [2,4,1,5,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => [3,1,4,5,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => [2,3,6,1,4,5,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => [2,4,1,6,3,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => [3,1,4,6,2,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => [2,5,1,3,6,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => [3,1,5,2,6,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => [4,1,2,5,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => [2,3,7,1,4,5,6] => [[.,.],[.,[[.,[.,[.,.]]],.]]]
[[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => [2,4,1,7,3,5,6] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => [3,1,4,7,2,5,6] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => [2,5,1,3,7,4,6] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => [3,1,5,2,7,4,6] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => [4,1,2,5,7,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => [2,6,1,3,4,7,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => [3,1,6,2,4,7,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => [4,1,2,6,3,7,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => [5,1,2,3,6,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => [7,3,2,1,5,4,6] => [[[[.,.],.],[[.,.],[.,.]]],.]
[[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => [7,4,1,2,5,3,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.]
[[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => [7,1,4,3,5,2,6] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => [7,5,1,2,4,3,6] => [[[.,[.,[[.,.],.]]],[.,.]],.]
[[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => [7,1,5,3,4,2,6] => [[.,[[[.,.],[.,.]],[.,.]]],.]
[[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => [7,3,2,1,4,6,5] => [[[[.,.],.],[.,[[.,.],.]]],.]
[[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => [7,4,1,2,3,6,5] => [[[.,[.,[.,.]]],[[.,.],.]],.]
[[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => [7,1,4,3,2,6,5] => [[.,[[[.,.],.],[[.,.],.]]],.]
[[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => [7,5,1,3,2,6,4] => [[[.,[[.,.],[.,.]]],[.,.]],.]
[[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => [7,1,5,2,3,6,4] => [[.,[[.,[.,[.,.]]],[.,.]]],.]
[[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => [7,1,2,5,4,6,3] => [[.,[.,[[[.,.],.],[.,.]]]],.]
[[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => [7,6,1,2,3,4,5] => [[[.,[.,[.,[.,[.,.]]]]],.],.]
[[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => [7,1,6,3,2,4,5] => [[.,[[[.,.],[.,[.,.]]],.]],.]
[[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => [7,6,1,3,2,5,4] => [[[.,[[.,.],[[.,.],.]]],.],.]
[[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => [7,1,6,2,3,5,4] => [[.,[[.,[.,[[.,.],.]]],.]],.]
[[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => [7,1,2,6,4,5,3] => [[.,[.,[[[.,.],[.,.]],.]]],.]
[[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => [6,7,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => [6,1,7,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]]
[[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => [6,7,1,3,2,5,4] => [[.,[[.,.],[[.,.],.]]],[.,.]]
[[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => [6,1,7,2,3,5,4] => [[.,[.,[.,[[.,.],.]]]],[.,.]]
[[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => [6,1,2,7,4,5,3] => [[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => [5,6,3,1,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => [5,6,1,4,2,3,7] => [[.,[[.,[.,.]],.]],[.,[.,.]]]
[[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => [5,1,6,4,3,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => [4,6,1,2,5,3,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => [4,1,6,3,5,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => [5,7,3,1,2,4,6] => [[[.,[.,.]],[.,.]],[[.,.],.]]
[[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => [5,7,1,4,2,3,6] => [[.,[[.,[.,.]],.]],[[.,.],.]]
[[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => [5,1,7,4,3,2,6] => [[.,[[[.,.],.],.]],[[.,.],.]]
[[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => [4,7,1,2,5,3,6] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => [4,1,7,3,5,2,6] => [[.,[[.,.],.]],[[.,[.,.]],.]]
[[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => [6,7,3,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => [6,7,1,4,3,2,5] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => [6,1,7,4,2,3,5] => [[.,[[.,[.,.]],[.,.]]],[.,.]]
[[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => [6,7,1,3,5,2,4] => [[.,[[.,.],[[.,.],.]]],[.,.]]
[[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => [6,1,7,2,5,3,4] => [[.,[.,[[.,[.,.]],.]]],[.,.]]
[[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => [6,1,2,7,5,4,3] => [[.,[.,[[[.,.],.],.]]],[.,.]]
[[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => [4,7,1,2,3,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]]
[[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => [4,1,7,3,2,6,5] => [[.,[[.,.],.]],[[[.,.],.],.]]
[[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => [5,7,1,3,2,6,4] => [[.,[[.,.],[.,.]]],[[.,.],.]]
[[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => [5,1,7,2,3,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => [5,1,2,7,4,6,3] => [[.,[.,[[.,.],.]]],[[.,.],.]]
[[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => [6,3,4,2,1,5,7] => [[[[.,.],.],[.,[.,.]]],[.,.]]
[[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => [6,3,5,1,2,4,7] => [[[.,[.,.]],[[.,.],.]],[.,.]]
[[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => [6,4,1,5,2,3,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => [6,1,4,5,3,2,7] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => [5,3,6,1,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => [5,4,1,6,2,3,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]]
[[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => [5,1,4,6,3,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => [4,5,1,2,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => [4,1,5,3,6,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => [7,3,4,2,1,5,6] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => [7,3,5,1,2,4,6] => [[[.,[.,.]],[[.,.],[.,.]]],.]
[[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => [7,4,1,5,2,3,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.]
[[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => [7,1,4,5,3,2,6] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => [7,3,6,1,4,2,5] => [[[.,[.,.]],[[.,[.,.]],.]],.]
[[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => [7,4,1,6,3,2,5] => [[[.,[[.,.],.]],[[.,.],.]],.]
[[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => [7,1,4,6,2,3,5] => [[.,[[.,[.,.]],[[.,.],.]]],.]
[[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => [7,5,1,3,6,2,4] => [[[.,[[.,.],[.,.]]],[.,.]],.]
[[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => [7,1,5,2,6,3,4] => [[.,[[.,[.,[.,.]]],[.,.]]],.]
[[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => [7,1,2,5,6,4,3] => [[.,[.,[[[.,.],.],[.,.]]]],.]
[[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => [5,3,7,1,2,4,6] => [[[.,[.,.]],[.,.]],[[.,.],.]]
[[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => [5,4,1,7,2,3,6] => [[[.,[.,[.,.]]],.],[[.,.],.]]
[[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => [5,1,4,7,3,2,6] => [[.,[[[.,.],.],.]],[[.,.],.]]
[[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => [4,5,1,2,7,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => [4,1,5,3,7,2,6] => [[.,[[.,.],.]],[.,[[.,.],.]]]
[[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => [6,3,7,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => [6,4,1,7,3,2,5] => [[[.,[[.,.],.]],[.,.]],[.,.]]
[[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => [6,1,4,7,2,3,5] => [[.,[[.,[.,.]],[.,.]]],[.,.]]
[[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => [6,5,1,3,7,2,4] => [[[.,[[.,.],[.,.]]],.],[.,.]]
[[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => [6,1,5,2,7,3,4] => [[.,[[.,[.,[.,.]]],.]],[.,.]]
[[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => [6,1,2,5,7,4,3] => [[.,[.,[[[.,.],.],.]]],[.,.]]
[[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => [4,6,1,2,3,7,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => [4,1,6,3,2,7,5] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => [5,6,1,3,2,7,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => [5,1,6,2,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => [5,1,2,6,4,7,3] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => [2,3,4,5,1,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => [2,3,4,6,1,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => [2,3,5,1,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => [2,4,1,5,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => [3,1,4,5,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => [2,3,4,7,1,5,6] => [[.,.],[.,[.,[[.,[.,.]],.]]]]
[[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => [2,3,5,1,7,4,6] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => [2,4,1,5,7,3,6] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => [3,1,4,5,7,2,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => [2,3,6,1,4,7,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => [2,4,1,6,3,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => [3,1,4,6,2,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => [2,5,1,3,6,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => [3,1,5,2,6,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => [4,1,2,5,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => [6,7,4,3,1,2,5] => [[[[.,[.,.]],.],[.,.]],[.,.]]
[[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => [6,7,5,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],[.,.]]
[[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => [6,7,1,5,4,2,3] => [[.,[[[.,[.,.]],.],.]],[.,.]]
[[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => [6,1,7,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]]
[[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => [5,7,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => [5,7,1,6,2,4,3] => [[.,[.,[[.,.],.]]],[[.,.],.]]
[[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => [5,1,7,6,3,4,2] => [[.,[[.,.],[.,.]]],[[.,.],.]]
[[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => [4,7,1,2,6,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]]
[[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => [4,1,7,3,6,5,2] => [[.,[[.,.],.]],[[[.,.],.],.]]
[[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => [5,6,7,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => [5,6,1,7,2,4,3] => [[.,[.,[[.,.],.]]],[.,[.,.]]]
[[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => [5,1,6,7,3,4,2] => [[.,[[.,.],[.,.]]],[.,[.,.]]]
[[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => [4,6,1,2,7,5,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => [4,1,6,3,7,5,2] => [[.,[[.,.],.]],[[.,.],[.,.]]]
[[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => [7,3,4,5,2,1,6] => [[[[.,.],.],[.,[.,[.,.]]]],.]
[[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => [7,3,4,6,1,2,5] => [[[.,[.,.]],[.,[[.,.],.]]],.]
[[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => [7,3,5,1,6,2,4] => [[[.,[.,.]],[[.,.],[.,.]]],.]
[[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => [7,4,1,5,6,2,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.]
[[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => [7,1,4,5,6,3,2] => [[.,[[[.,.],.],[.,[.,.]]]],.]
[[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => [6,3,4,7,1,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => [6,3,5,1,7,2,4] => [[[.,[.,.]],[[.,.],.]],[.,.]]
[[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => [6,4,1,5,7,2,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => [6,1,4,5,7,3,2] => [[.,[[[.,.],.],[.,.]]],[.,.]]
[[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => [5,3,6,1,2,7,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => [5,4,1,6,2,7,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]]
[[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => [5,1,4,6,3,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]]
[[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => [4,5,1,2,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => [4,1,5,3,6,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]]
[[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => [2,3,4,5,6,1,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => [2,3,4,5,7,1,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]]
[[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => [2,3,4,6,1,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => [2,3,5,1,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => [2,4,1,5,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => [3,1,4,5,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4,5,6,7,8]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,5,6,7,8],[4]] => [4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => [4,2,1,3,5,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => [4,1,3,2,5,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => [5,2,1,3,4,6,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => [5,1,2,4,3,6,7,8] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => [6,1,2,4,3,5,7,8] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[[1,2,3,4,7,8],[5,6]] => [5,6,1,2,3,4,7,8] => [6,1,2,3,5,4,7,8] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => [7,2,1,3,4,5,6,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => [7,1,3,2,4,5,6,8] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => [7,1,2,4,3,5,6,8] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => [7,1,2,3,5,4,6,8] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => [7,1,2,3,4,6,5,8] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => [8,2,1,3,4,5,6,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => [8,1,3,2,4,5,6,7] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => [8,1,2,4,3,5,6,7] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => [8,1,2,3,5,4,6,7] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => [8,1,2,3,4,6,5,7] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => [8,1,2,3,4,5,7,6] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => [2,4,1,3,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => [3,1,4,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => [2,5,1,3,4,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => [4,1,2,5,3,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,3,4,5,7,8],[2],[6]] => [6,2,1,3,4,5,7,8] => [2,6,1,3,4,5,7,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => [3,1,6,2,4,5,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[1,2,3,4,7,8],[5],[6]] => [6,5,1,2,3,4,7,8] => [5,1,2,3,6,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => [2,7,1,3,4,5,6,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => [3,1,7,2,4,5,6,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => [4,1,2,7,3,5,6,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => [6,1,2,3,4,7,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => [2,8,1,3,4,5,6,7] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => [3,1,8,2,4,5,6,7] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => [4,1,2,8,3,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => [5,1,2,3,8,4,6,7] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => [6,2,1,4,3,5,7,8] => [[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[[1,2,5,7,8],[3,4,6]] => [3,4,6,1,2,5,7,8] => [6,1,3,4,2,5,7,8] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[[1,3,5,6,8],[2,4,7]] => [2,4,7,1,3,5,6,8] => [7,2,1,4,3,5,6,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => [7,1,3,2,5,4,6,8] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => [7,1,2,3,5,6,4,8] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[1,2,4,6,7],[3,5,8]] => [3,5,8,1,2,4,6,7] => [8,1,3,2,5,4,6,7] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => [8,1,2,4,5,3,6,7] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => [8,2,1,3,4,6,5,7] => [[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => [8,1,3,2,4,6,5,7] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => [8,1,2,4,3,6,5,7] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => [8,1,2,3,5,6,4,7] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => [8,2,1,3,4,5,7,6] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => [8,1,3,2,4,5,7,6] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => [8,1,2,4,3,5,7,6] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.]
[[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => [8,1,2,3,5,4,7,6] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => [8,1,2,3,4,6,7,5] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => [5,3,2,1,4,6,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => [5,4,1,2,3,6,7,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => [5,1,4,3,2,6,7,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => [4,5,1,2,3,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => [6,4,1,2,3,5,7,8] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => [6,1,5,2,3,4,7,8] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]
[[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => [4,6,1,2,3,5,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[1,2,5,7,8],[3,4],[6]] => [6,3,4,1,2,5,7,8] => [4,1,6,3,2,5,7,8] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => [5,1,6,2,3,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,4,5,6,8],[2,7],[3]] => [3,2,7,1,4,5,6,8] => [7,3,2,1,4,5,6,8] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[[1,3,5,6,8],[2,7],[4]] => [4,2,7,1,3,5,6,8] => [7,4,1,2,3,5,6,8] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,3,4,6,8],[2,7],[5]] => [5,2,7,1,3,4,6,8] => [7,5,1,3,2,4,6,8] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => [7,6,1,3,4,2,5,8] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]]
[[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => [7,1,2,6,3,4,5,8] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]
[[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => [7,1,2,3,6,5,4,8] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => [4,1,7,3,2,5,6,8] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[[1,3,4,6,8],[2,5],[7]] => [7,2,5,1,3,4,6,8] => [5,7,1,3,2,4,6,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => [5,1,7,2,3,4,6,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => [6,1,2,7,3,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => [6,1,2,3,7,5,4,8] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => [8,3,2,1,4,5,6,7] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => [8,4,1,2,3,5,6,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[[1,2,5,6,7],[3,8],[4]] => [4,3,8,1,2,5,6,7] => [8,1,4,3,2,5,6,7] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[1,3,4,6,7],[2,8],[5]] => [5,2,8,1,3,4,6,7] => [8,5,1,3,2,4,6,7] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[[1,2,4,6,7],[3,8],[5]] => [5,3,8,1,2,4,6,7] => [8,1,5,2,3,4,6,7] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => [8,1,2,5,4,3,6,7] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => [8,6,1,3,4,2,5,7] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => [8,1,6,2,4,3,5,7] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => [8,1,2,6,3,4,5,7] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => [8,1,2,3,6,5,4,7] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => [8,7,1,3,4,5,2,6] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => [8,1,7,2,4,5,3,6] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => [8,1,2,7,3,5,4,6] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => [8,1,2,3,7,4,5,6] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => [8,1,2,3,4,7,6,5] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => [4,8,1,2,3,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => [4,1,8,3,2,5,6,7] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => [5,1,8,2,3,4,6,7] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[[1,3,4,5,7],[2,6],[8]] => [8,2,6,1,3,4,5,7] => [6,8,1,3,4,2,5,7] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => [6,1,8,2,4,3,5,7] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[[1,2,3,5,7],[4,6],[8]] => [8,4,6,1,2,3,5,7] => [6,1,2,8,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => [6,1,2,3,8,5,4,7] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[[1,3,4,5,6],[2,7],[8]] => [8,2,7,1,3,4,5,6] => [7,8,1,3,4,5,2,6] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => [7,1,8,2,4,5,3,6] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => [7,1,2,8,3,5,4,6] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => [7,1,2,3,8,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => [7,1,2,3,4,8,6,5] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => [2,3,5,1,4,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => [2,4,1,5,3,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => [3,1,4,5,2,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,4,5,7,8],[2],[3],[6]] => [6,3,2,1,4,5,7,8] => [2,3,6,1,4,5,7,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => [2,4,1,6,3,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[1,3,4,7,8],[2],[5],[6]] => [6,5,2,1,3,4,7,8] => [2,5,1,3,6,4,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => [4,1,2,5,6,3,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => [2,3,7,1,4,5,6,8] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => [3,1,5,2,7,4,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[1,2,3,6,8],[4],[5],[7]] => [7,5,4,1,2,3,6,8] => [4,1,2,5,7,3,6,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[1,2,4,5,8],[3],[6],[7]] => [7,6,3,1,2,4,5,8] => [3,1,6,2,4,7,5,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[1,2,3,5,8],[4],[6],[7]] => [7,6,4,1,2,3,5,8] => [4,1,2,6,3,7,5,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => [5,1,2,3,6,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => [2,3,8,1,4,5,6,7] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => [2,4,1,8,3,5,6,7] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[[1,2,5,6,7],[3],[4],[8]] => [8,4,3,1,2,5,6,7] => [3,1,4,8,2,5,6,7] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => [2,5,1,3,8,4,6,7] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => [3,1,5,2,8,4,6,7] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => [4,1,2,5,8,3,6,7] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => [4,1,2,6,3,8,5,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => [5,1,2,3,6,8,4,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => [2,7,1,3,4,5,8,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => [4,1,2,7,3,5,8,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => [5,1,2,3,7,4,8,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => [8,2,1,4,3,6,5,7] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => [8,1,3,4,2,6,5,7] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => [8,1,3,2,5,6,4,7] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => [8,1,2,4,5,6,3,7] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => [8,2,1,4,3,5,7,6] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => [8,1,3,2,5,4,7,6] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => [8,1,2,4,5,3,7,6] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.]
[[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => [8,1,3,2,4,6,7,5] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => [8,1,2,3,5,6,7,4] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => [7,3,2,1,5,4,6,8] => [[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[[1,4,5,8],[2,6,7],[3]] => [3,2,6,7,1,4,5,8] => [7,3,2,1,4,6,5,8] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => [7,5,1,3,2,6,4,8] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => [7,1,5,2,3,6,4,8] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => [7,1,2,5,4,6,3,8] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[[1,3,5,8],[2,4,7],[6]] => [6,2,4,7,1,3,5,8] => [7,6,1,2,3,4,5,8] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[[1,2,3,8],[4,5,7],[6]] => [6,4,5,7,1,2,3,8] => [7,1,2,6,4,5,3,8] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]]
[[1,3,5,8],[2,4,6],[7]] => [7,2,4,6,1,3,5,8] => [6,7,1,2,3,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,2,5,8],[3,4,6],[7]] => [7,3,4,6,1,2,5,8] => [6,1,7,3,2,4,5,8] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[[1,3,4,8],[2,5,6],[7]] => [7,2,5,6,1,3,4,8] => [6,7,1,3,2,5,4,8] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]
[[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => [8,3,2,1,5,4,6,7] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => [8,4,1,2,5,3,6,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => [8,1,4,3,5,2,6,7] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => [8,5,1,2,4,3,6,7] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[[1,2,6,7],[3,4,8],[5]] => [5,3,4,8,1,2,6,7] => [8,1,5,3,4,2,6,7] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => [8,3,2,1,4,6,5,7] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[[1,2,5,7],[3,6,8],[4]] => [4,3,6,8,1,2,5,7] => [8,1,4,3,2,6,5,7] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[[1,2,3,7],[4,6,8],[5]] => [5,4,6,8,1,2,3,7] => [8,1,2,5,4,6,3,7] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => [8,6,1,2,3,4,5,7] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => [8,1,6,2,3,5,4,7] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => [8,1,2,6,4,5,3,7] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => [8,3,2,1,4,5,7,6] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => [8,1,4,3,2,5,7,6] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[[1,3,4,6],[2,7,8],[5]] => [5,2,7,8,1,3,4,6] => [8,5,1,3,2,4,7,6] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => [8,1,6,2,4,3,7,5] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => [8,1,2,3,6,5,7,4] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => [8,1,7,3,2,5,4,6] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[[1,3,4,6],[2,5,8],[7]] => [7,2,5,8,1,3,4,6] => [8,7,1,3,2,4,5,6] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => [8,1,7,2,3,4,5,6] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[[1,3,4,5],[2,6,8],[7]] => [7,2,6,8,1,3,4,5] => [8,7,1,3,4,2,6,5] => [[[.,[[.,.],[.,[[.,.],.]]]],.],.]
[[1,2,4,5],[3,6,8],[7]] => [7,3,6,8,1,2,4,5] => [8,1,7,2,4,3,6,5] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => [8,1,2,7,3,4,6,5] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => [8,1,2,3,7,5,6,4] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[[1,3,5,7],[2,4,6],[8]] => [8,2,4,6,1,3,5,7] => [6,8,1,2,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[1,3,4,7],[2,5,6],[8]] => [8,2,5,6,1,3,4,7] => [6,8,1,3,2,5,4,7] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => [6,1,8,2,3,5,4,7] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => [7,8,1,2,3,5,4,6] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[1,2,5,6],[3,4,7],[8]] => [8,3,4,7,1,2,5,6] => [7,1,8,3,2,5,4,6] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => [7,8,1,3,2,4,5,6] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => [7,1,8,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => [7,8,1,3,4,2,6,5] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]]
[[1,2,4,5],[3,6,7],[8]] => [8,3,6,7,1,2,4,5] => [7,1,8,2,4,3,6,5] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]
[[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => [7,1,2,3,8,5,6,4] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => [5,6,1,4,2,3,7,8] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => [5,1,6,4,3,2,7,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[[1,3,7,8],[2,4],[5,6]] => [5,6,2,4,1,3,7,8] => [4,6,1,2,5,3,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => [4,1,6,3,5,2,7,8] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => [5,7,3,1,2,4,6,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => [4,7,1,2,5,3,6,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => [6,7,3,1,4,2,5,8] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[[1,3,5,8],[2,6],[4,7]] => [4,7,2,6,1,3,5,8] => [6,7,1,4,3,2,5,8] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => [6,1,7,4,2,3,5,8] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[[1,2,4,8],[3,6],[5,7]] => [5,7,3,6,1,2,4,8] => [6,1,7,2,5,3,4,8] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]
[[1,2,3,8],[4,6],[5,7]] => [5,7,4,6,1,2,3,8] => [6,1,2,7,5,4,3,8] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]
[[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => [4,1,7,3,2,6,5,8] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => [5,7,1,3,2,6,4,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[1,4,6,7],[2,5],[3,8]] => [3,8,2,5,1,4,6,7] => [5,8,3,1,2,4,6,7] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => [5,8,1,4,2,3,6,7] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[[1,2,6,7],[3,5],[4,8]] => [4,8,3,5,1,2,6,7] => [5,1,8,4,3,2,6,7] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => [4,8,1,2,5,3,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => [4,1,8,3,5,2,6,7] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => [6,8,3,1,4,2,5,7] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => [6,1,8,2,5,3,4,7] => [[.,[.,[[.,[.,.]],.]]],[[.,.],.]]
[[1,3,5,7],[2,4],[6,8]] => [6,8,2,4,1,3,5,7] => [4,8,1,2,3,6,5,7] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[[1,3,4,7],[2,5],[6,8]] => [6,8,2,5,1,3,4,7] => [5,8,1,3,2,6,4,7] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => [7,8,1,4,3,5,2,6] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => [7,1,8,4,2,5,3,6] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => [7,1,8,2,5,4,3,6] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => [7,1,2,8,5,3,4,6] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => [7,1,8,2,4,6,3,5] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]
[[1,2,3,5],[4,7],[6,8]] => [6,8,4,7,1,2,3,5] => [7,1,2,8,3,6,4,5] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]
[[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => [7,1,2,3,8,6,5,4] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => [4,8,1,2,3,5,7,6] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => [5,8,1,3,2,4,7,6] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => [5,1,8,2,3,4,7,6] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => [5,1,2,8,4,3,7,6] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[[1,3,4,5],[2,6],[7,8]] => [7,8,2,6,1,3,4,5] => [6,8,1,3,4,2,7,5] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[[1,2,4,5],[3,6],[7,8]] => [7,8,3,6,1,2,4,5] => [6,1,8,2,4,3,7,5] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => [6,1,2,8,3,4,7,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => [6,1,2,3,8,5,7,4] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => [6,3,4,2,1,5,7,8] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => [6,3,5,1,2,4,7,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[[1,3,7,8],[2,6],[4],[5]] => [5,4,2,6,1,3,7,8] => [6,4,1,5,2,3,7,8] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => [6,1,4,5,3,2,7,8] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => [5,3,6,1,2,4,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[[1,3,7,8],[2,5],[4],[6]] => [6,4,2,5,1,3,7,8] => [5,4,1,6,2,3,7,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => [7,3,5,1,2,4,6,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[[1,3,6,8],[2,7],[4],[5]] => [5,4,2,7,1,3,6,8] => [7,4,1,5,2,3,6,8] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,2,6,8],[3,7],[4],[5]] => [5,4,3,7,1,2,6,8] => [7,1,4,5,3,2,6,8] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[[1,3,4,8],[2,7],[5],[6]] => [6,5,2,7,1,3,4,8] => [7,5,1,3,6,2,4,8] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => [7,1,5,2,6,3,4,8] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => [5,3,7,1,2,4,6,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[[1,3,6,8],[2,4],[5],[7]] => [7,5,2,4,1,3,6,8] => [4,5,1,2,7,3,6,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => [6,1,5,2,7,3,4,8] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]
[[1,2,5,8],[3,4],[6],[7]] => [7,6,3,4,1,2,5,8] => [4,1,6,3,2,7,5,8] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => [5,1,6,2,3,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => [8,3,4,2,1,5,6,7] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => [8,3,5,1,2,4,6,7] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[[1,3,6,7],[2,8],[4],[5]] => [5,4,2,8,1,3,6,7] => [8,4,1,5,2,3,6,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[[1,2,6,7],[3,8],[4],[5]] => [5,4,3,8,1,2,6,7] => [8,1,4,5,3,2,6,7] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => [8,4,1,6,3,2,5,7] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => [8,1,4,6,2,3,5,7] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => [8,5,1,3,6,2,4,7] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => [8,1,5,2,6,3,4,7] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[[1,2,3,7],[4,8],[5],[6]] => [6,5,4,8,1,2,3,7] => [8,1,2,5,6,4,3,7] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => [8,4,1,7,3,5,2,6] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => [8,1,4,7,2,5,3,6] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[[1,3,4,6],[2,8],[5],[7]] => [7,5,2,8,1,3,4,6] => [8,5,1,3,7,4,2,6] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => [8,1,5,2,7,4,3,6] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => [8,1,2,5,7,3,4,6] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[[1,2,3,5],[4,8],[6],[7]] => [7,6,4,8,1,2,3,5] => [8,1,2,6,3,7,4,5] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => [8,1,2,3,6,7,5,4] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => [5,4,1,8,2,3,6,7] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[[1,2,6,7],[3,5],[4],[8]] => [8,4,3,5,1,2,6,7] => [5,1,4,8,3,2,6,7] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[[1,3,6,7],[2,4],[5],[8]] => [8,5,2,4,1,3,6,7] => [4,5,1,2,8,3,6,7] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => [4,1,5,3,8,2,6,7] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => [6,3,8,1,4,2,5,7] => [[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => [6,4,1,8,3,2,5,7] => [[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => [6,1,5,2,8,3,4,7] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => [4,6,1,2,3,8,5,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[1,2,4,7],[3,5],[6],[8]] => [8,6,3,5,1,2,4,7] => [5,1,6,2,3,8,4,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => [5,1,2,6,4,8,3,7] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => [7,3,8,1,4,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => [7,4,1,8,3,5,2,6] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => [7,5,1,3,8,4,2,6] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[[1,2,3,6],[4,7],[5],[8]] => [8,5,4,7,1,2,3,6] => [7,1,2,5,8,3,4,6] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[[1,3,4,5],[2,7],[6],[8]] => [8,6,2,7,1,3,4,5] => [7,6,1,3,4,8,2,5] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]]
[[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => [7,1,6,2,4,8,3,5] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]]
[[1,2,3,5],[4,7],[6],[8]] => [8,6,4,7,1,2,3,5] => [7,1,2,6,3,8,4,5] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]
[[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => [7,1,2,3,6,8,5,4] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => [4,7,1,2,3,5,8,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => [4,1,7,3,2,5,8,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => [5,7,1,3,2,4,8,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => [5,1,7,2,3,4,8,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => [6,1,7,2,4,3,8,5] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => [6,1,2,7,3,4,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => [6,1,2,3,7,5,8,4] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => [2,3,4,6,1,5,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => [2,4,1,5,6,3,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => [2,3,4,7,1,5,6,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => [2,3,6,1,4,7,5,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => [2,4,1,6,3,7,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => [4,1,2,5,6,7,3,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => [2,3,4,8,1,5,6,7] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => [2,3,5,1,8,4,6,7] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => [2,4,1,5,8,3,6,7] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[[1,2,6,7],[3],[4],[5],[8]] => [8,5,4,3,1,2,6,7] => [3,1,4,5,8,2,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[[1,4,5,7],[2],[3],[6],[8]] => [8,6,3,2,1,4,5,7] => [2,3,6,1,4,8,5,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => [2,4,1,6,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => [3,1,4,6,2,8,5,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => [2,5,1,3,6,8,4,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[[1,2,4,7],[3],[5],[6],[8]] => [8,6,5,3,1,2,4,7] => [3,1,5,2,6,8,4,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => [4,1,2,5,6,8,3,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => [2,3,7,1,4,5,8,6] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => [2,4,1,7,3,5,8,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[[1,2,5,6],[3],[4],[7],[8]] => [8,7,4,3,1,2,5,6] => [3,1,4,7,2,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => [2,5,1,3,7,4,8,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => [3,1,5,2,7,4,8,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => [4,1,2,5,7,3,8,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => [2,6,1,3,4,7,8,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => [3,1,6,2,4,7,8,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => [4,1,2,6,3,7,8,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => [8,6,3,1,2,5,4,7] => [[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[[1,3,7],[2,5,8],[4,6]] => [4,6,2,5,8,1,3,7] => [8,6,1,4,2,5,3,7] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => [8,1,6,4,3,5,2,7] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => [8,6,1,2,5,4,3,7] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.]
[[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => [8,7,1,4,2,3,5,6] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => [8,7,1,2,5,3,4,6] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => [8,1,7,3,5,2,4,6] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[[1,4,5],[2,6,8],[3,7]] => [3,7,2,6,8,1,4,5] => [8,7,3,1,4,2,6,5] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[[1,3,5],[2,6,8],[4,7]] => [4,7,2,6,8,1,3,5] => [8,7,1,4,3,2,6,5] => [[[.,[[[.,.],.],[[.,.],.]]],.],.]
[[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => [8,1,7,4,2,3,6,5] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => [8,7,1,3,5,2,6,4] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[[1,2,4],[3,6,8],[5,7]] => [5,7,3,6,8,1,2,4] => [8,1,7,2,5,3,6,4] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[[1,3,5],[2,4,8],[6,7]] => [6,7,2,4,8,1,3,5] => [8,7,1,2,3,6,4,5] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => [8,1,7,2,3,6,5,4] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.]
[[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => [8,1,2,7,4,6,5,3] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => [7,8,3,1,2,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[[1,3,6],[2,5,7],[4,8]] => [4,8,2,5,7,1,3,6] => [7,8,1,4,2,3,5,6] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => [7,8,1,2,5,3,4,6] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => [7,8,3,1,4,2,6,5] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[[1,2,5],[3,6,7],[4,8]] => [4,8,3,6,7,1,2,5] => [7,1,8,4,2,3,6,5] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => [7,8,1,3,5,2,6,4] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => [7,1,8,2,5,3,6,4] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[[1,3,5],[2,4,7],[6,8]] => [6,8,2,4,7,1,3,5] => [7,8,1,2,3,6,4,5] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]
[[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => [7,8,1,3,2,6,5,4] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]]
[[1,2,4],[3,5,7],[6,8]] => [6,8,3,5,7,1,2,4] => [7,1,8,2,3,6,5,4] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => [7,1,2,8,4,6,5,3] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]
[[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => [6,8,1,2,3,4,7,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[1,2,5],[3,4,6],[7,8]] => [7,8,3,4,6,1,2,5] => [6,1,8,3,2,4,7,5] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => [6,8,1,3,2,5,7,4] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => [6,1,8,2,3,5,7,4] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => [6,1,2,8,4,5,7,3] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => [8,3,4,2,1,6,5,7] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => [8,3,5,1,2,6,4,7] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => [8,4,1,5,2,6,3,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => [8,1,4,5,3,6,2,7] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[1,3,7],[2,5,8],[4],[6]] => [6,4,2,5,8,1,3,7] => [8,4,1,6,2,5,3,7] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => [8,1,4,6,3,5,2,7] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => [8,5,1,2,6,4,3,7] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => [8,3,5,1,2,4,7,6] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => [8,4,1,5,2,3,7,6] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => [8,1,4,5,3,2,7,6] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => [8,3,6,1,4,2,7,5] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[[1,2,4],[3,7,8],[5],[6]] => [6,5,3,7,8,1,2,4] => [8,1,5,2,6,3,7,4] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[[1,4,6],[2,5,8],[3],[7]] => [7,3,2,5,8,1,4,6] => [8,3,7,1,2,4,5,6] => [[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => [8,4,1,7,2,3,5,6] => [[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => [8,1,4,7,3,2,5,6] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.]
[[1,3,6],[2,4,8],[5],[7]] => [7,5,2,4,8,1,3,6] => [8,5,1,2,7,3,4,6] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[[1,2,6],[3,4,8],[5],[7]] => [7,5,3,4,8,1,2,6] => [8,1,5,3,7,2,4,6] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[[1,4,5],[2,6,8],[3],[7]] => [7,3,2,6,8,1,4,5] => [8,3,7,1,4,2,6,5] => [[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[[1,3,5],[2,6,8],[4],[7]] => [7,4,2,6,8,1,3,5] => [8,4,1,7,3,2,6,5] => [[[.,[[.,.],.]],[[[.,.],.],.]],.]
[[1,2,5],[3,6,8],[4],[7]] => [7,4,3,6,8,1,2,5] => [8,1,4,7,2,3,6,5] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => [8,5,1,3,7,2,6,4] => [[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => [8,1,5,2,7,3,6,4] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => [8,1,2,5,7,4,6,3] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => [8,6,1,2,3,7,4,5] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[[1,2,5],[3,4,8],[6],[7]] => [7,6,3,4,8,1,2,5] => [8,1,6,3,2,7,4,5] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => [8,1,6,2,3,7,5,4] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => [8,1,2,6,4,7,5,3] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => [7,3,8,1,2,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => [7,4,1,8,2,3,5,6] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => [7,5,1,2,8,3,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => [7,3,8,1,4,2,6,5] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[[1,3,5],[2,6,7],[4],[8]] => [8,4,2,6,7,1,3,5] => [7,4,1,8,3,2,6,5] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[[1,2,5],[3,6,7],[4],[8]] => [8,4,3,6,7,1,2,5] => [7,1,4,8,2,3,6,5] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => [7,5,1,3,8,2,6,4] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => [7,1,5,2,8,3,6,4] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => [7,1,2,5,8,4,6,3] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => [7,6,1,2,3,8,4,5] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[[1,2,5],[3,4,7],[6],[8]] => [8,6,3,4,7,1,2,5] => [7,1,6,3,2,8,4,5] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => [7,1,6,2,3,8,5,4] => [[.,[[.,[.,[[.,.],.]]],.]],[.,.]]
[[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => [6,7,1,2,3,4,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => [6,7,1,3,2,5,8,4] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]
[[1,2,4],[3,5,6],[7],[8]] => [8,7,3,5,6,1,2,4] => [6,1,7,2,3,5,8,4] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => [6,1,2,7,4,5,8,3] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => [6,7,5,1,3,2,4,8] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => [5,7,6,1,2,3,4,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => [5,7,1,6,2,4,3,8] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => [5,1,7,6,3,4,2,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[1,2,8],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2,8] => [4,1,7,3,6,5,2,8] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => [5,6,7,1,2,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,3,8],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3,8] => [5,6,1,7,2,4,3,8] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[[1,2,8],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2,8] => [5,1,6,7,3,4,2,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[[1,3,8],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3,8] => [4,6,1,2,7,5,3,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[1,2,8],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2,8] => [4,1,6,3,7,5,2,8] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => [6,8,1,5,4,2,3,7] => [[.,[[[.,[.,.]],.],.]],[[.,.],.]]
[[1,4,7],[2,5],[3,8],[6]] => [6,3,8,2,5,1,4,7] => [5,8,6,1,2,3,4,7] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => [5,8,1,6,2,4,3,7] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => [5,1,8,6,3,4,2,7] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => [4,8,1,2,6,5,3,7] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => [4,1,8,3,6,5,2,7] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => [7,8,4,3,1,5,2,6] => [[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => [7,1,8,5,4,2,3,6] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => [7,8,6,1,4,3,2,5] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => [7,8,1,6,3,4,2,5] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[[1,2,5],[3,7],[4,8],[6]] => [6,4,8,3,7,1,2,5] => [7,1,8,6,2,4,3,5] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]]
[[1,3,4],[2,7],[5,8],[6]] => [6,5,8,2,7,1,3,4] => [7,8,1,3,6,5,2,4] => [[.,[[.,.],[[[.,.],.],.]]],[.,.]]
[[1,2,3],[4,7],[5,8],[6]] => [6,5,8,4,7,1,2,3] => [7,1,2,8,6,5,4,3] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => [5,8,7,1,2,4,3,6] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => [4,8,1,2,7,3,5,6] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]
[[1,3,5],[2,6],[4,8],[7]] => [7,4,8,2,6,1,3,5] => [6,8,1,7,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[[1,2,5],[3,6],[4,8],[7]] => [7,4,8,3,6,1,2,5] => [6,1,8,7,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => [6,8,1,3,7,2,5,4] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[[1,2,4],[3,6],[5,8],[7]] => [7,5,8,3,6,1,2,4] => [6,1,8,2,7,3,5,4] => [[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => [6,1,2,8,7,4,5,3] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[[1,3,5],[2,4],[6,8],[7]] => [7,6,8,2,4,1,3,5] => [4,8,1,2,3,7,6,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[[1,2,5],[3,4],[6,8],[7]] => [7,6,8,3,4,1,2,5] => [4,1,8,3,2,7,6,5] => [[.,[[.,.],.]],[[[[.,.],.],.],.]]
[[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => [5,6,8,1,2,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[[1,2,7],[3,5],[4,6],[8]] => [8,4,6,3,5,1,2,7] => [5,1,6,8,3,4,2,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => [4,6,1,2,8,5,3,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => [4,1,6,3,8,5,2,7] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => [5,7,8,1,2,4,3,6] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[[1,2,6],[3,5],[4,7],[8]] => [8,4,7,3,5,1,2,6] => [5,1,7,8,3,2,4,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => [4,7,1,2,8,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[1,2,6],[3,4],[5,7],[8]] => [8,5,7,3,4,1,2,6] => [4,1,7,3,8,2,5,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => [6,7,8,1,4,2,3,5] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => [6,7,1,8,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => [6,1,7,8,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => [4,7,1,2,3,8,6,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => [4,1,7,3,2,8,6,5] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => [5,7,1,3,2,8,6,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => [5,1,7,2,3,8,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => [7,3,4,5,2,1,6,8] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => [7,3,5,1,6,2,4,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => [7,4,1,5,6,2,3,8] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => [6,3,5,1,7,2,4,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => [6,4,1,5,7,2,3,8] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,4,8],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4,8] => [5,3,6,1,2,7,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[[1,3,8],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3,8] => [5,4,1,6,2,7,3,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[[1,3,8],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3,8] => [4,5,1,2,6,7,3,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => [8,3,4,5,2,1,6,7] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => [8,3,5,1,6,2,4,7] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => [8,4,1,5,6,2,3,7] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => [8,1,4,5,6,3,2,7] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => [8,3,5,1,7,4,2,6] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => [8,4,1,5,7,3,2,6] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[[1,2,6],[3,8],[4],[5],[7]] => [7,5,4,3,8,1,2,6] => [8,1,4,5,7,2,3,6] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => [8,3,6,1,4,7,2,5] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => [8,1,4,6,2,7,3,5] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => [8,5,1,3,6,7,2,4] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[[1,2,4],[3,8],[5],[6],[7]] => [7,6,5,3,8,1,2,4] => [8,1,5,2,6,7,3,4] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => [8,1,2,5,6,7,4,3] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => [6,3,5,1,8,2,4,7] => [[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => [6,1,4,5,8,3,2,7] => [[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[[1,4,7],[2,5],[3],[6],[8]] => [8,6,3,2,5,1,4,7] => [5,3,6,1,2,8,4,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[[1,3,7],[2,5],[4],[6],[8]] => [8,6,4,2,5,1,3,7] => [5,4,1,6,2,8,3,7] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => [4,5,1,2,6,8,3,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => [4,1,5,3,6,8,2,7] => [[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => [7,3,5,1,8,4,2,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[[1,3,6],[2,7],[4],[5],[8]] => [8,5,4,2,7,1,3,6] => [7,4,1,5,8,3,2,6] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => [7,3,6,1,4,8,2,5] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[[1,3,5],[2,7],[4],[6],[8]] => [8,6,4,2,7,1,3,5] => [7,4,1,6,3,8,2,5] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[[1,2,4],[3,7],[5],[6],[8]] => [8,6,5,3,7,1,2,4] => [7,1,5,2,6,8,3,4] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[[1,2,6],[3,5],[4],[7],[8]] => [8,7,4,3,5,1,2,6] => [5,1,4,7,3,2,8,6] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[[1,3,6],[2,4],[5],[7],[8]] => [8,7,5,2,4,1,3,6] => [4,5,1,2,7,3,8,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => [4,1,5,3,7,2,8,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => [6,3,7,1,4,2,8,5] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => [6,4,1,7,3,2,8,5] => [[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => [6,1,4,7,2,3,8,5] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => [6,5,1,3,7,2,8,4] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[[1,2,4],[3,6],[5],[7],[8]] => [8,7,5,3,6,1,2,4] => [6,1,5,2,7,3,8,4] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]
[[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => [4,1,6,3,2,7,8,5] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => [5,6,1,3,2,7,8,4] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => [5,1,6,2,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => [2,3,4,5,7,1,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => [2,3,4,6,1,7,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => [2,4,1,5,6,7,3,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => [2,3,4,5,8,1,6,7] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => [2,3,4,6,1,8,5,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => [2,3,5,1,6,8,4,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => [2,4,1,5,6,8,3,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => [3,1,4,5,6,8,2,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => [2,3,4,7,1,5,8,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => [2,3,5,1,7,4,8,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[[1,3,6],[2],[4],[5],[7],[8]] => [8,7,5,4,2,1,3,6] => [2,4,1,5,7,3,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => [3,1,4,5,7,2,8,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => [2,3,6,1,4,7,8,5] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => [2,4,1,6,3,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => [3,1,4,6,2,7,8,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => [2,5,1,3,6,7,8,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => [3,1,5,2,6,7,8,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => [6,7,8,4,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => [6,7,8,1,5,2,3,4] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]
[[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => [6,7,1,8,5,2,4,3] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]
[[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => [6,1,7,8,5,3,4,2] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]
[[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => [5,7,8,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => [5,1,7,8,3,6,4,2] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => [4,7,1,2,8,6,5,3] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => [5,6,8,1,2,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => [5,1,6,8,3,4,7,2] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => [4,6,1,2,8,5,7,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => [4,1,6,3,8,5,7,2] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => [7,8,4,6,1,3,2,5] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => [7,8,5,1,6,3,2,4] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[[1,3],[2,7],[4,8],[5],[6]] => [6,5,4,8,2,7,1,3] => [7,8,1,5,6,4,2,3] => [[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => [6,8,5,1,7,2,3,4] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[[1,2],[3,5],[4,8],[6],[7]] => [7,6,4,8,3,5,1,2] => [5,1,8,6,3,7,4,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => [4,8,1,2,6,7,5,3] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => [4,1,8,3,6,7,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => [6,7,4,8,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => [6,7,5,1,8,2,3,4] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => [6,7,1,5,8,2,4,3] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]
[[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => [6,1,7,5,8,3,4,2] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]
[[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => [5,7,6,1,2,8,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => [5,7,1,6,2,8,4,3] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => [4,1,7,3,6,8,5,2] => [[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => [5,6,7,1,2,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => [5,6,1,7,2,4,8,3] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => [5,1,6,7,3,4,8,2] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => [4,6,1,2,7,5,8,3] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => [4,1,6,3,7,5,8,2] => [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => [8,3,4,5,6,2,1,7] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => [8,3,4,5,7,1,2,6] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[[1,5],[2,8],[3],[4],[6],[7]] => [7,6,4,3,2,8,1,5] => [8,3,4,6,1,7,2,5] => [[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[[1,4],[2,8],[3],[5],[6],[7]] => [7,6,5,3,2,8,1,4] => [8,3,5,1,6,7,2,4] => [[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => [8,4,1,5,6,7,2,3] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => [8,1,4,5,6,7,3,2] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => [7,3,4,5,8,1,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[[1,4],[2,7],[3],[5],[6],[8]] => [8,6,5,3,2,7,1,4] => [7,3,5,1,6,8,2,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[[1,3],[2,7],[4],[5],[6],[8]] => [8,6,5,4,2,7,1,3] => [7,4,1,5,6,8,2,3] => [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => [7,1,4,5,6,8,3,2] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => [6,3,5,1,7,2,8,4] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => [6,4,1,5,7,2,8,3] => [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => [5,3,6,1,2,7,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => [5,4,1,6,2,7,8,3] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => [4,5,1,2,6,7,8,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => [4,1,5,3,6,7,8,2] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[[1,6],[2],[3],[4],[5],[7],[8]] => [8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,5] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[1,4],[2],[3],[5],[6],[7],[8]] => [8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,4] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,3] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,4,6,8],[3,5,7,9,10]] => [3,5,7,9,10,1,2,4,6,8] => [10,1,3,2,5,4,7,6,9,8] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]
[[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => [10,1,2,3,4,6,7,8,9,5] => [[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]],.]
[[1,2,4,6,8,10],[3,5,7,9,11,12]] => [3,5,7,9,11,12,1,2,4,6,8,10] => [12,1,3,2,5,4,7,6,9,8,11,10] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.]
[[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => [12,1,2,3,4,5,7,8,9,10,11,6] => [[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]],.]
[[1,2,3,4,5,6,7,8,9]] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => [9,1,2,3,4,5,6,8,7] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => [9,1,2,3,4,5,7,8,6] => [[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,2,3,4,5,6,7,8,9,10]] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => [10,1,2,3,4,5,6,7,9,8] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,10,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,10,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,10,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,10,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,10,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,10,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[1,2,3,4,5,6,7,8,9,10,11,12]] => [1,2,3,4,5,6,7,8,9,10,11,12] => [1,2,3,4,5,6,7,8,9,10,11,12] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]] => [12,11,10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,11,12,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,1,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => [9,3,4,5,6,8,1,2,7] => [[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]],.]
[[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => [2,3,4,5,6,7,8,1,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,10,1,8] => [10,3,4,5,6,7,9,1,2,8] => [[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]],.]
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,1,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[1,8],[2,9],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,9,1,8] => [9,3,4,5,6,7,2,1,8] => [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]
[[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => [8,2,1,4,3,6,5,7,9] => [[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]
[[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,10,1,9] => [10,3,4,5,6,7,8,2,1,9] => [[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[1,3],[2,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,4,1,3] => [4,5,1,2,6,7,8,9,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[[1,5],[2,6],[3,7],[4,8],[9]] => [9,4,8,3,7,2,6,1,5] => [6,7,8,9,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[[1,3,5],[2,4,6],[7],[8],[9]] => [9,8,7,2,4,6,1,3,5] => [6,7,1,2,3,4,8,9,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[[1,2,4,6],[3,5,7],[8],[9]] => [9,8,3,5,7,1,2,4,6] => [7,1,8,2,3,4,5,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[1,3,5,7],[2,4,6,8],[9]] => [9,2,4,6,8,1,3,5,7] => [8,9,1,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[1,2,3,5,7],[4,6,8],[9]] => [9,4,6,8,1,2,3,5,7] => [8,1,2,9,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => [8,1,2,3,4,9,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => [9,1,2,3,4,5,7,6,8] => [[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[[1,2,6],[3,7],[4,8],[5,9],[10]] => [10,5,9,4,8,3,7,1,2,6] => [7,1,8,9,10,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[[1,4,7],[2,5,8],[3,6,9],[10]] => [10,3,6,9,2,5,8,1,4,7] => [8,9,10,1,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[1,3,5,7],[2,4,6,8],[9],[10]] => [10,9,2,4,6,8,1,3,5,7] => [8,9,1,2,3,4,5,6,10,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[1,2,4,6,8],[3,5,7,9],[10]] => [10,3,5,7,9,1,2,4,6,8] => [9,1,10,2,3,4,5,6,7,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => [8,1,2,3,4,5,7,6,9] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]]
[[1,2,3,4,5,6,9],[7],[8]] => [8,7,1,2,3,4,5,6,9] => [7,1,2,3,4,5,8,6,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[1,2,9],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,2,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,3],[2,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,9,1,3] => [9,4,1,5,6,7,8,2,3] => [[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]],.]
[[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8,10] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[[1,2,3,4,5,6,7,10],[8,9]] => [8,9,1,2,3,4,5,6,7,10] => [9,1,2,3,4,5,6,8,7,10] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],[.,.]]
[[1,3],[2,10],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,10,1,3] => [10,4,1,5,6,7,8,9,2,3] => [[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]],.]
[] => [] => [] => .
[[1,2,4,5,6,7,8,9],[3]] => [3,1,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,3,5,6,7,8,9],[2],[4]] => [4,2,1,3,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[[1,4,6,7,8,9],[2],[3],[5]] => [5,3,2,1,4,6,7,8,9] => [2,3,5,1,4,6,7,8,9] => [[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[[1,5,7,8,9],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8,9] => [2,3,4,6,1,5,7,8,9] => [[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[[1,6,8,9],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8,9] => [2,3,4,5,7,1,6,8,9] => [[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => [2,3,4,5,6,8,1,7,9] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[[1,8],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,8] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[[1,2,4,5,6,7,8,9,10],[3]] => [3,1,2,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [10,8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,10,1,9] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => [9,2,1,3,4,5,6,7,8] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => [2,9,1,3,4,5,6,7,8] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[[1,3,4,5,6,7],[2],[8],[9]] => [9,8,2,1,3,4,5,6,7] => [2,8,1,3,4,5,6,9,7] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[[1,3,4,5,6],[2],[7],[8],[9]] => [9,8,7,2,1,3,4,5,6] => [2,7,1,3,4,5,8,9,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[[1,3,4],[2],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,1,3,4] => [2,5,1,3,6,7,8,9,4] => [[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[[1,3],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,3] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => [10,2,1,3,4,5,6,7,8,9] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => [2,10,1,3,4,5,6,7,8,9] => [[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[[1,3,4,5,6,7,8],[2,9,10]] => [2,9,10,1,3,4,5,6,7,8] => [10,2,1,3,4,5,6,7,9,8] => [[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[[1,3,4,5,6,7,8],[2],[9],[10]] => [10,9,2,1,3,4,5,6,7,8] => [2,9,1,3,4,5,6,7,10,8] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[[1,3,4],[2],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,2,1,3,4] => [2,5,1,3,6,7,8,9,10,4] => [[.,.],[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,10,3] => [[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,2,3,5,6,7,8,9,10],[4]] => [4,1,2,3,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,3,4,6,7,8,9,10],[5]] => [5,1,2,3,4,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4,5,6,7,9,10],[8]] => [8,1,2,3,4,5,6,7,9,10] => [8,1,2,3,4,5,6,7,9,10] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[[1,2,3,4,5,6,8,9,10],[7]] => [7,1,2,3,4,5,6,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[[1,2,3,4,5,7,8,9,10],[6]] => [6,1,2,3,4,5,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[[1,2,4,5,6,7,8,9,10,11,12],[3]] => [3,1,2,4,5,6,7,8,9,10,11,12] => [3,1,2,4,5,6,7,8,9,10,11,12] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[[1,4,5,6,7,8],[2],[3],[9]] => [9,3,2,1,4,5,6,7,8] => [2,3,9,1,4,5,6,7,8] => [[.,.],[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[[1,5,6,7,8],[2],[3],[4],[9]] => [9,4,3,2,1,5,6,7,8] => [2,3,4,9,1,5,6,7,8] => [[.,.],[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[[1,6,7,8],[2],[3],[4],[5],[9]] => [9,5,4,3,2,1,6,7,8] => [2,3,4,5,9,1,6,7,8] => [[.,.],[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[[1,7,8],[2],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,1,7,8] => [2,3,4,5,6,9,1,7,8] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[[1,4,5,6,7,8,9],[2],[3],[10]] => [10,3,2,1,4,5,6,7,8,9] => [2,3,10,1,4,5,6,7,8,9] => [[.,.],[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]
[[1,5,6,7,8,9],[2],[3],[4],[10]] => [10,4,3,2,1,5,6,7,8,9] => [2,3,4,10,1,5,6,7,8,9] => [[.,.],[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]
[[1,6,7,8,9],[2],[3],[4],[5],[10]] => [10,5,4,3,2,1,6,7,8,9] => [2,3,4,5,10,1,6,7,8,9] => [[.,.],[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[[1,7,8,9],[2],[3],[4],[5],[6],[10]] => [10,6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,10,1,7,8,9] => [[.,.],[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]
[[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => [10,7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,10,1,8,9] => [[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[[1,2,5,6,7,8,9],[3],[4]] => [4,3,1,2,5,6,7,8,9] => [3,1,4,2,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,5,6,7,8,9,10],[3],[4]] => [4,3,1,2,5,6,7,8,9,10] => [3,1,4,2,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,2,5,6,7,8],[3],[4],[9]] => [9,4,3,1,2,5,6,7,8] => [3,1,4,9,2,5,6,7,8] => [[.,[.,.]],[.,[[.,[.,[.,[.,.]]]],.]]]
[[1,2,7,8],[3],[4],[5],[6],[9]] => [9,6,5,4,3,1,2,7,8] => [3,1,4,5,6,9,2,7,8] => [[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]
[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,10,4] => [[.,.],[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,10,5] => [[.,.],[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]] => [10,9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,10,8] => [[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => [10,9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,10,7] => [[.,.],[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]] => [10,9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,10,6] => [[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]] => [12,10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,12,1,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[[1,2,3,4,5,7],[6],[8],[9]] => [9,8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,9,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],[.,.]]]
[[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,9,6,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => [8,1,2,3,4,6,5,7,9] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],[.,.]]
[[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => [9,1,3,2,4,5,6,7,8] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]
[[1,2,3,4,5,6],[7,9],[8]] => [8,7,9,1,2,3,4,5,6] => [9,1,2,3,4,5,8,7,6] => [[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]
[[1,2,3,4,5,6,7],[8,10],[9]] => [9,8,10,1,2,3,4,5,6,7] => [10,1,2,3,4,5,6,9,8,7] => [[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.]
[[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => [8,2,1,3,4,5,6,7,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[1,3,4,5,6,7,8,10],[2,9]] => [2,9,1,3,4,5,6,7,8,10] => [9,2,1,3,4,5,6,7,8,10] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[1,2,3,4,5,6,8],[7,10],[9]] => [9,7,10,1,2,3,4,5,6,8] => [10,1,2,3,4,5,9,6,7,8] => [[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]],.]
[[1,7,8],[2,9],[3],[4],[5],[6]] => [6,5,4,3,2,9,1,7,8] => [9,3,4,5,6,2,1,7,8] => [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]
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
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
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.