- FindStat

Identifier

Mp00081: Standard tableaux —reading word permutation⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations

Images

[[1]] => [1] => [.,.] => [1]

[[1,2]] => [1,2] => [.,[.,.]] => [2,1]

[[1],[2]] => [2,1] => [[.,.],.] => [1,2]

[[1,2,3]] => [1,2,3] => [.,[.,[.,.]]] => [3,2,1]

[[1,3],[2]] => [2,1,3] => [[.,.],[.,.]] => [1,3,2]

[[1,2],[3]] => [3,1,2] => [[.,.],[.,.]] => [1,3,2]

[[1],[2],[3]] => [3,2,1] => [[[.,.],.],.] => [1,2,3]

[[1,2,3,4]] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1]

[[1,3,4],[2]] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,4,3,2]

[[1,2,4],[3]] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,4,3,2]

[[1,2,3],[4]] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,4,3,2]

[[1,3],[2,4]] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [2,1,4,3]

[[1,2],[3,4]] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [2,1,4,3]

[[1,4],[2],[3]] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,2,4,3]

[[1,3],[2],[4]] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,2,4,3]

[[1,2],[3],[4]] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,2,4,3]

[[1],[2],[3],[4]] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,2,3,4]

[[1,2,3,4,5]] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1]

[[1,3,4,5],[2]] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2]

[[1,2,4,5],[3]] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2]

[[1,2,3,5],[4]] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2]

[[1,2,3,4],[5]] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2]

[[1,3,5],[2,4]] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3]

[[1,2,5],[3,4]] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3]

[[1,3,4],[2,5]] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3]

[[1,2,4],[3,5]] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3]

[[1,2,3],[4,5]] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3]

[[1,4,5],[2],[3]] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3]

[[1,3,5],[2],[4]] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3]

[[1,2,5],[3],[4]] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3]

[[1,3,4],[2],[5]] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3]

[[1,2,4],[3],[5]] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3]

[[1,2,3],[4],[5]] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3]

[[1,4],[2,5],[3]] => [3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4]

[[1,3],[2,5],[4]] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4]

[[1,2],[3,5],[4]] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4]

[[1,3],[2,4],[5]] => [5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4]

[[1,2],[3,4],[5]] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4]

[[1,5],[2],[3],[4]] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4]

[[1,4],[2],[3],[5]] => [5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4]

[[1,3],[2],[4],[5]] => [5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4]

[[1,2],[3],[4],[5]] => [5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4]

[[1],[2],[3],[4],[5]] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5]

[[1,2,3,4,5,6]] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1]

[[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2]

[[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2]

[[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2]

[[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2]

[[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2]

[[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3]

[[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3]

[[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3]

[[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3]

[[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3]

[[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3]

[[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3]

[[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3]

[[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3]

[[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3]

[[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3]

[[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3]

[[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3]

[[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3]

[[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3]

[[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3]

[[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3]

[[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3]

[[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3]

[[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4]

[[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4]

[[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4]

[[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4]

[[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4]

[[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4]

[[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4]

[[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4]

[[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4]

[[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4]

[[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4]

[[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4]

[[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4]

[[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4]

[[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4]

[[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4]

[[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5]

[[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5]

>>> Load all 1247 entries. <<<

[[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5]

[[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5]

[[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5]

[[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5]

[[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5]

[[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5]

[[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5]

[[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5]

[[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5]

[[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5]

[[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5]

[[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5]

[[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5]

[[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5]

[[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5]

[[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5]

[[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5]

[[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6]

[[1,2,3,4,5,6,7]] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1]

[[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2]

[[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2]

[[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2]

[[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2]

[[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2]

[[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2]

[[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3]

[[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3]

[[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4]

[[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4]

[[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4]

[[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5]

[[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5]

[[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5]

[[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5]

[[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6]

[[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6]

[[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6]

[[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6]

[[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6]

[[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6]

[[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6]

[[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6]

[[1],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7]

[[1,2,3,4,5,6,7,8]] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1]

[[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2]

[[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2]

[[1,2,3,5,6,7,8],[4]] => [4,1,2,3,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2]

[[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2]

[[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2]

[[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2]

[[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2]

[[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3]

[[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,3,4,7,8],[5],[6]] => [6,5,1,2,3,4,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3]

[[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,3,5,6],[4,7,8]] => [4,7,8,1,2,3,5,6] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4]

[[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4]

[[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4]

[[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5]

[[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,4,6,7],[2,5,8],[3]] => [3,2,5,8,1,4,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,6,7],[3,5,8],[4]] => [4,3,5,8,1,2,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,4,5,7],[2,6,8],[3]] => [3,2,6,8,1,4,5,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,4,7],[2,5,8],[6]] => [6,2,5,8,1,3,4,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,4,6],[3,7,8],[5]] => [5,3,7,8,1,2,4,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,3,6],[4,7,8],[5]] => [5,4,7,8,1,2,3,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,5,6],[2,4,7],[8]] => [8,2,4,7,1,3,5,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,4,6],[2,5,7],[8]] => [8,2,5,7,1,3,4,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5]

[[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,3,7,8],[2,4],[5,6]] => [5,6,2,4,1,3,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,4,5],[3,7],[6,8]] => [6,8,3,7,1,2,4,5] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5]

[[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,7,8],[2,6],[4],[5]] => [5,4,2,6,1,3,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,7,8],[3,5],[4],[6]] => [6,4,3,5,1,2,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,4,8],[2,7],[5],[6]] => [6,5,2,7,1,3,4,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,5,8],[2,6],[4],[7]] => [7,4,2,6,1,3,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,4,6,7],[2,8],[3],[5]] => [5,3,2,8,1,4,6,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,4,5,7],[2,8],[3],[6]] => [6,3,2,8,1,4,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5]

[[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,4,5,7],[2],[3],[6],[8]] => [8,6,3,2,1,4,5,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5]

[[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,7],[3,5,8],[4,6]] => [4,6,3,5,8,1,2,7] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,5],[3,4,6],[7,8]] => [7,8,3,4,6,1,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6]

[[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,3],[4,5,8],[6],[7]] => [7,6,4,5,8,1,2,3] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,4],[2,5,7],[6],[8]] => [8,6,2,5,7,1,3,4] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6]

[[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,8],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,8],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,4,7],[2,5],[3,8],[6]] => [6,3,8,2,5,1,4,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,7],[2,5],[4,6],[8]] => [8,4,6,2,5,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,6],[3,5],[4,7],[8]] => [8,4,7,3,5,1,2,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6]

[[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,4,7],[2,5],[3],[6],[8]] => [8,6,3,2,5,1,4,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,4,6],[2,5],[3],[7],[8]] => [8,7,3,2,5,1,4,6] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,4],[3,6],[5],[7],[8]] => [8,7,5,3,6,1,2,4] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6]

[[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6]

[[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7]

[[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,2],[3,5],[4,7],[6],[8]] => [8,6,4,7,3,5,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7]

[[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7]

[[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7]

[[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7]

[[1,6],[2],[3],[4],[5],[7],[8]] => [8,7,5,4,3,2,1,6] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7]

[[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7]

[[1,4],[2],[3],[5],[6],[7],[8]] => [8,7,6,5,3,2,1,4] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7]

[[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7]

[[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7]

[[1],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8]

[[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,5,7,8],[2,4,6,9,10]] => [2,4,6,9,10,1,3,5,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,5,6,9],[2,4,7,8,10]] => [2,4,7,8,10,1,3,5,6,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,5,6,8],[2,4,7,9,10]] => [2,4,7,9,10,1,3,5,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,5,6,7],[2,4,8,9,10]] => [2,4,8,9,10,1,3,5,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,4,7,9],[2,5,6,8,10]] => [2,5,6,8,10,1,3,4,7,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,4,7,8],[2,5,6,9,10]] => [2,5,6,9,10,1,3,4,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,4,6,9],[2,5,7,8,10]] => [2,5,7,8,10,1,3,4,6,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,4,6,8],[2,5,7,9,10]] => [2,5,7,9,10,1,3,4,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,4,6,7],[2,5,8,9,10]] => [2,5,8,9,10,1,3,4,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,4,5,9],[2,6,7,8,10]] => [2,6,7,8,10,1,3,4,5,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,4,5,8],[2,6,7,9,10]] => [2,6,7,9,10,1,3,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,4,5,7],[2,6,8,9,10]] => [2,6,8,9,10,1,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,3,4,5,6],[2,7,8,9,10]] => [2,7,8,9,10,1,3,4,5,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,5,7,9],[3,4,6,8,10]] => [3,4,6,8,10,1,2,5,7,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,5,7,8],[3,4,6,9,10]] => [3,4,6,9,10,1,2,5,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,5,6,9],[3,4,7,8,10]] => [3,4,7,8,10,1,2,5,6,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,5,6,8],[3,4,7,9,10]] => [3,4,7,9,10,1,2,5,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,5,6,7],[3,4,8,9,10]] => [3,4,8,9,10,1,2,5,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,4,7,9],[3,5,6,8,10]] => [3,5,6,8,10,1,2,4,7,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,4,7,8],[3,5,6,9,10]] => [3,5,6,9,10,1,2,4,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,4,6,9],[3,5,7,8,10]] => [3,5,7,8,10,1,2,4,6,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,4,6,8],[3,5,7,9,10]] => [3,5,7,9,10,1,2,4,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,4,6,7],[3,5,8,9,10]] => [3,5,8,9,10,1,2,4,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,4,5,9],[3,6,7,8,10]] => [3,6,7,8,10,1,2,4,5,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,4,5,8],[3,6,7,9,10]] => [3,6,7,9,10,1,2,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,4,5,7],[3,6,8,9,10]] => [3,6,8,9,10,1,2,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,4,5,6],[3,7,8,9,10]] => [3,7,8,9,10,1,2,4,5,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,7,9],[4,5,6,8,10]] => [4,5,6,8,10,1,2,3,7,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,7,8],[4,5,6,9,10]] => [4,5,6,9,10,1,2,3,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,6,9],[4,5,7,8,10]] => [4,5,7,8,10,1,2,3,6,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,6,8],[4,5,7,9,10]] => [4,5,7,9,10,1,2,3,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,6,7],[4,5,8,9,10]] => [4,5,8,9,10,1,2,3,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,5,9],[4,6,7,8,10]] => [4,6,7,8,10,1,2,3,5,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,5,8],[4,6,7,9,10]] => [4,6,7,9,10,1,2,3,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,5,7],[4,6,8,9,10]] => [4,6,8,9,10,1,2,3,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,5,6],[4,7,8,9,10]] => [4,7,8,9,10,1,2,3,5,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,4,9],[5,6,7,8,10]] => [5,6,7,8,10,1,2,3,4,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,4,8],[5,6,7,9,10]] => [5,6,7,9,10,1,2,3,4,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,4,7],[5,6,8,9,10]] => [5,6,8,9,10,1,2,3,4,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,4,6],[5,7,8,9,10]] => [5,7,8,9,10,1,2,3,4,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6]

[[1,2,3,4,5,6,7,8,9]] => [1,2,3,4,5,6,7,8,9] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1]

[[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2]

[[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3]

[[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3]

[[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4]

[[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,3,2,9,8,7,6,5,4]

[[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4]

[[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5]

[[1,2,3,4,5],[6,7],[8],[9]] => [9,8,6,7,1,2,3,4,5] => [[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,2,4,3,9,8,7,6,5]

[[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5]

[[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => [[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,3,5,4,9,8,7,6]

[[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6]

[[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,4,6,5,9,8,7]

[[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7]

[[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8]

[[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8]

[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9]

[[1,2,3,4,5,6,7,8,9,10]] => [1,2,3,4,5,6,7,8,9,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1]

[[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2]

[[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3]

[[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3]

[[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4]

[[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4]

[[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5]

[[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5]

[[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6]

[[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7]

[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8]

[[1,2],[3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9]

[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9]

[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10]

[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2]

[[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3]

[[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3]

[[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4]

[[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,3,2,9,8,7,6,5,4]

[[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4]

[[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5]

[[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => [[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,2,4,3,9,8,7,6,5]

[[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5]

[[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => [[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,3,5,4,9,8,7,6]

[[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6]

[[1,6,9],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9] => [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,4,6,5,9,8,7]

[[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7]

[[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8]

[[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8]

[[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2]

[[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3]

[[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3]

[[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4]

[[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4]

[[1,2,3,4,9,10],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5]

[[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5]

[[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6]

[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7]

[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8]

[[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,10,1,8] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9]

[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9]

[[1,8],[2,9],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,9,1,8] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8]

[[1,7,9],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7,9] => [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,4,6,5,9,8,7]

[[1,6,8,9],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8,9] => [[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,3,5,4,9,8,7,6]

[[1,5,7,8,9],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9] => [[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,2,4,3,9,8,7,6,5]

[[1,4,6,7,8,9],[2,5],[3]] => [3,2,5,1,4,6,7,8,9] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,3,2,9,8,7,6,5,4]

[[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5]

[[1,3,5,7,8,9],[2,4,6]] => [2,4,6,1,3,5,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4]

[[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3]

[[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,10,1,9] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9]

[[1,6],[2,7],[3,8],[4,9],[5,10]] => [5,10,4,9,3,8,2,7,1,6] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3,5,7,9,10],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5]

[[1,3,5,7,8,9,10],[2,4,6]] => [2,4,6,1,3,5,7,8,9,10] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4]

[[1,3,5,6,7,8,9,10],[2,4]] => [2,4,1,3,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3]

[[1,3],[2,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,4,1,3] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8]

[[1,2,4],[3,5],[6],[7],[8],[9]] => [9,8,7,6,3,5,1,2,4] => [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,4,6,5,9,8,7]

[[1,2,3,5],[4,6],[7],[8],[9]] => [9,8,7,4,6,1,2,3,5] => [[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,3,5,4,9,8,7,6]

[[1,2,3,4,6],[5,7],[8],[9]] => [9,8,5,7,1,2,3,4,6] => [[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,2,4,3,9,8,7,6,5]

[[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,3,2,9,8,7,6,5,4]

[[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5]

[[1,2,3,4,6,8],[5,7,9]] => [5,7,9,1,2,3,4,6,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4]

[[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3]

[[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,2,4,1,3] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9]

[[1,2,3,5,7,9],[4,6,8,10]] => [4,6,8,10,1,2,3,5,7,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5]

[[1,2,3,4,5,7,9],[6,8,10]] => [6,8,10,1,2,3,4,5,7,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4]

[[1,2,3,4,5,6,7,9],[8,10]] => [8,10,1,2,3,4,5,6,7,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3]

[[1,2],[3,4],[5,6],[7,9],[8,10]] => [8,10,7,9,5,6,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,4],[5,7],[6,8],[9,10]] => [9,10,6,8,5,7,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,4],[5,7],[6,9],[8,10]] => [8,10,6,9,5,7,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,4],[5,8],[6,9],[7,10]] => [7,10,6,9,5,8,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,5],[4,6],[7,8],[9,10]] => [9,10,7,8,4,6,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,5],[4,6],[7,9],[8,10]] => [8,10,7,9,4,6,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,5],[4,7],[6,8],[9,10]] => [9,10,6,8,4,7,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,5],[4,7],[6,9],[8,10]] => [8,10,6,9,4,7,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,5],[4,8],[6,9],[7,10]] => [7,10,6,9,4,8,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,6],[4,7],[5,8],[9,10]] => [9,10,5,8,4,7,3,6,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,6],[4,7],[5,9],[8,10]] => [8,10,5,9,4,7,3,6,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,6],[4,8],[5,9],[7,10]] => [7,10,5,9,4,8,3,6,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,7],[4,8],[5,9],[6,10]] => [6,10,5,9,4,8,3,7,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,4],[5,6],[7,9],[8,10]] => [8,10,7,9,5,6,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,4],[5,7],[6,8],[9,10]] => [9,10,6,8,5,7,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,4],[5,7],[6,9],[8,10]] => [8,10,6,9,5,7,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,4],[5,8],[6,9],[7,10]] => [7,10,6,9,5,8,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,5],[4,6],[7,8],[9,10]] => [9,10,7,8,4,6,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,5],[4,6],[7,9],[8,10]] => [8,10,7,9,4,6,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,5],[4,7],[6,8],[9,10]] => [9,10,6,8,4,7,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,5],[4,7],[6,9],[8,10]] => [8,10,6,9,4,7,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,5],[4,8],[6,9],[7,10]] => [7,10,6,9,4,8,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,6],[4,7],[5,8],[9,10]] => [9,10,5,8,4,7,2,6,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,6],[4,7],[5,9],[8,10]] => [8,10,5,9,4,7,2,6,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,6],[4,8],[5,9],[7,10]] => [7,10,5,9,4,8,2,6,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,3],[2,7],[4,8],[5,9],[6,10]] => [6,10,5,9,4,8,2,7,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,4],[2,5],[3,6],[7,8],[9,10]] => [9,10,7,8,3,6,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,4],[2,5],[3,6],[7,9],[8,10]] => [8,10,7,9,3,6,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,4],[2,5],[3,7],[6,8],[9,10]] => [9,10,6,8,3,7,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,4],[2,5],[3,7],[6,9],[8,10]] => [8,10,6,9,3,7,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,4],[2,5],[3,8],[6,9],[7,10]] => [7,10,6,9,3,8,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,4],[2,6],[3,7],[5,8],[9,10]] => [9,10,5,8,3,7,2,6,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,4],[2,6],[3,7],[5,9],[8,10]] => [8,10,5,9,3,7,2,6,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,4],[2,6],[3,8],[5,9],[7,10]] => [7,10,5,9,3,8,2,6,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,4],[2,7],[3,8],[5,9],[6,10]] => [6,10,5,9,3,8,2,7,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,5],[2,6],[3,7],[4,8],[9,10]] => [9,10,4,8,3,7,2,6,1,5] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,5],[2,6],[3,7],[4,9],[8,10]] => [8,10,4,9,3,7,2,6,1,5] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,5],[2,6],[3,8],[4,9],[7,10]] => [7,10,4,9,3,8,2,6,1,5] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,5],[2,7],[3,8],[4,9],[6,10]] => [6,10,4,9,3,8,2,7,1,5] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9]

[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,5,8,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,5,8,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,5,8,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,5,9,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,4,8,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,4,8,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,4,8,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,4,9,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]] => [11,12,9,10,5,8,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]] => [10,12,9,11,5,8,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]] => [11,12,8,10,5,9,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]] => [10,12,8,11,5,9,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]] => [9,12,8,11,5,10,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]] => [11,12,7,10,5,9,4,8,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]] => [10,12,7,11,5,9,4,8,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]] => [9,12,7,11,5,10,4,8,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]] => [8,12,7,11,5,10,4,9,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]] => [11,12,6,10,5,9,4,8,3,7,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]] => [10,12,6,11,5,9,4,8,3,7,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]] => [9,12,6,11,5,10,4,8,3,7,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]] => [8,12,6,11,5,10,4,9,3,7,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]] => [7,12,6,11,5,10,4,9,3,8,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,5,8,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,5,8,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,5,8,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,5,9,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,4,8,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,4,8,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,4,8,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,4,9,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]] => [11,12,9,10,5,8,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]] => [10,12,9,11,5,8,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]] => [11,12,8,10,5,9,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]] => [10,12,8,11,5,9,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]] => [9,12,8,11,5,10,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]] => [11,12,7,10,5,9,4,8,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]] => [10,12,7,11,5,9,4,8,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]] => [9,12,7,11,5,10,4,8,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]] => [8,12,7,11,5,10,4,9,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]] => [11,12,6,10,5,9,4,8,2,7,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]] => [10,12,6,11,5,9,4,8,2,7,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]] => [9,12,6,11,5,10,4,8,2,7,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]] => [8,12,6,11,5,10,4,9,2,7,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]] => [7,12,6,11,5,10,4,9,2,8,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,3,8,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,3,8,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,3,8,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,3,9,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]] => [11,12,9,10,5,8,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]] => [10,12,9,11,5,8,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]] => [11,12,8,10,5,9,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]] => [10,12,8,11,5,9,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]] => [9,12,8,11,5,10,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]] => [11,12,7,10,5,9,3,8,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]] => [10,12,7,11,5,9,3,8,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]] => [9,12,7,11,5,10,3,8,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]] => [8,12,7,11,5,10,3,9,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]] => [11,12,6,10,5,9,3,8,2,7,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]] => [10,12,6,11,5,9,3,8,2,7,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]] => [9,12,6,11,5,10,3,8,2,7,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]] => [8,12,6,11,5,10,3,9,2,7,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]] => [7,12,6,11,5,10,3,9,2,8,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]] => [11,12,9,10,4,8,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]] => [10,12,9,11,4,8,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]] => [11,12,8,10,4,9,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]] => [10,12,8,11,4,9,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]] => [9,12,8,11,4,10,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]] => [11,12,7,10,4,9,3,8,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]] => [10,12,7,11,4,9,3,8,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]] => [9,12,7,11,4,10,3,8,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]] => [8,12,7,11,4,10,3,9,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]] => [11,12,6,10,4,9,3,8,2,7,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]] => [10,12,6,11,4,9,3,8,2,7,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]] => [9,12,6,11,4,10,3,8,2,7,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]] => [8,12,6,11,4,10,3,9,2,7,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]] => [7,12,6,11,4,10,3,9,2,8,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]] => [11,12,5,10,4,9,3,8,2,7,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]] => [10,12,5,11,4,9,3,8,2,7,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]] => [9,12,5,11,4,10,3,8,2,7,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]] => [8,12,5,11,4,10,3,9,2,7,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]] => [7,12,5,11,4,10,3,9,2,8,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]] => [6,12,5,11,4,10,3,9,2,8,1,7] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11]

[[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2]

[[1,2,3,4,5,6,9],[7,8]] => [7,8,1,2,3,4,5,6,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3]

[[1,2,3,4,5,9],[6,7,8]] => [6,7,8,1,2,3,4,5,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4]

[[1,2,3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3,9] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6]

[[1,2,9],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7]

[[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2]

[[1,2,3,4,5,6,7,10],[8,9]] => [8,9,1,2,3,4,5,6,7,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3]

[[1,2,3,4,5,10],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5]

[[1,2,3,4,5,10],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5,10] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5]

[[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8]

[[1,2,4,5,6,7,8,9],[3]] => [3,1,2,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2]

[[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7]

[[1,8],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8]

[[1,2,4,5,6,7,8,9,10],[3]] => [3,1,2,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2]

[[1,8,10],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8]

[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [10,8,7,6,5,4,3,2,1,9] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9]

[[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3]

[[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3]

[[1,3,4,5,6,7],[2,8,9]] => [2,8,9,1,3,4,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4]

[[1,3,4,5,6],[2,7,8,9]] => [2,7,8,9,1,3,4,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5]

[[1,3,4],[2],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,1,3,4] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7]

[[1,3],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8]

[[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3]

[[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3]

[[1,3,4,5,6,7,8],[2,9,10]] => [2,9,10,1,3,4,5,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4]

[[1,3,4,5,6,7],[2,8,9,10]] => [2,8,9,10,1,3,4,5,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5]

[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,2,1,3] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9]

[[1,2,4,6,8,10],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5]

[[1,2,3,5,6,7,8,9,10],[4]] => [4,1,2,3,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2]

[[1,2,3,4,6,7,8,9,10],[5]] => [5,1,2,3,4,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2]

[[1,2,3,4,5,6,7,9,10],[8]] => [8,1,2,3,4,5,6,7,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2]

[[1,2,3,4,5,6,8,9,10],[7]] => [7,1,2,3,4,5,6,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2]

[[1,2,3,4,5,7,8,9,10],[6]] => [6,1,2,3,4,5,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2]

[[1,2,5,6,7,8],[3,4],[9]] => [9,3,4,1,2,5,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,3,2,9,8,7,6,5,4]

[[1,6,7,8],[2],[3],[4],[5],[9]] => [9,5,4,3,2,1,6,7,8] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6]

[[1,7,8],[2],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,1,7,8] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7]

[[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => [10,7,6,5,4,3,2,1,8,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8]

[[1,2,5,6,7,8,9],[3],[4]] => [4,3,1,2,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3]

[[1,2,6,7,8,9],[3],[4],[5]] => [5,4,3,1,2,6,7,8,9] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4]

[[1,2,7,8,9],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5]

[[1,2,5,6,7,8,9,10],[3],[4]] => [4,3,1,2,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3]

[[1,2,7,8,9,10],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8,9,10] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5]

[[1,2,8,9,10],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8,9,10] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6]

[[1,2,6,7],[3,9],[4],[5],[8]] => [8,5,4,3,9,1,2,6,7] => [[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,3,5,4,9,8,7,6]

[[1,2,4,5,6,7,8,9],[3],[10]] => [10,3,1,2,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3]

[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,2,1,4] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9]

[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,3,2,1,5] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9]

[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]] => [10,9,7,6,5,4,3,2,1,8] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9]

[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => [10,9,8,6,5,4,3,2,1,7] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9]

[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]] => [10,9,8,7,5,4,3,2,1,6] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9]

[[1,2],[3,5],[4],[6],[7],[8],[9]] => [9,8,7,6,4,3,5,1,2] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8]

[[1,2,4],[3],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,1,2,4] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7]

[[1,2,3,5],[4],[6],[7],[8],[9]] => [9,8,7,6,4,1,2,3,5] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6]

[[1,2,3,4,6],[5],[7],[8],[9]] => [9,8,7,5,1,2,3,4,6] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5]

[[1,2,3,4,5,7],[6],[8],[9]] => [9,8,6,1,2,3,4,5,7] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4]

[[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3]

[[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3]

[[1,3,10],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8]

[[1,2,4,5,6,7,8],[3,9]] => [3,9,1,2,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3]

[[1,2,4,5,6,7,8,9],[3,10]] => [3,10,1,2,4,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3]

[[1,2,3,4,5,6],[7,9],[8]] => [8,7,9,1,2,3,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,3,2,9,8,7,6,5,4]

[[1,2,3,4,5,7],[6,8,9]] => [6,8,9,1,2,3,4,5,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4]

[[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3]

[[1,2,3,4,5,6,8,9],[7,10]] => [7,10,1,2,3,4,5,6,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3]

[[1,2,3,4,6],[5,7,8,9]] => [5,7,8,9,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5]

[[1,2,3,4,5,7,8],[6,9]] => [6,9,1,2,3,4,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3]

[[1,3,4,5,6,7,8,10],[2],[9]] => [9,2,1,3,4,5,6,7,8,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3]

[[1,4,5,6,7,8],[2,9],[3]] => [3,2,9,1,4,5,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,3,2,9,8,7,6,5,4]

[[1,7,8],[2,9],[3],[4],[5],[6]] => [6,5,4,3,2,9,1,7,8] => [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,4,6,5,9,8,7]

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

to increasing tree

Description

Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length

$0$ to the empty tree, and sending a permutation

$\sigma$ of length

$n \geq 1$ to a root node with two subtrees

$L$ and

$R$ by splitting

$\sigma$ at the index

$\sigma^{-1}(1)$ , normalizing both sides again to permutations and sending the permutations on the left and on the right of

$\sigma^{-1}(1)$ to the trees

$L$ and

$R$ , respectively.

Map

to 312-avoiding permutation

Description

Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.