Identifier
Mp00075:
Semistandard tableaux
—reading word permutation⟶
Permutations
Mp00062: Permutations —Lehmer-code to major-code bijection⟶ Permutations
Mp00067: Permutations —Foata bijection⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00062: Permutations —Lehmer-code to major-code bijection⟶ Permutations
Mp00067: Permutations —Foata bijection⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
[[1,2]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[2,2]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[1],[2]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[1,3]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[2,3]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[3,3]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[1],[3]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[2],[3]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[1,1,2]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,2,2]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,2,2]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,1],[2]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,2],[2]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,4]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[2,4]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[3,4]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[4,4]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[1],[4]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[2],[4]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[3],[4]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[1,1,3]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,2,3]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,3,3]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,2,3]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,3,3]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,3,3]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,1],[3]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,2],[3]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,3],[2]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,3],[3]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,2],[3]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,3],[3]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1],[2],[3]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1,1,1,2]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,2,2]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,2,2]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,2,2]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,1],[2]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,2],[2]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,2,2],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,1],[2,2]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,5]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[2,5]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[3,5]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[4,5]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[5,5]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[1],[5]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[2],[5]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[3],[5]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[4],[5]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[1,1,4]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,2,4]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,3,4]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,4,4]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,2,4]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,3,4]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,4,4]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,3,4]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,4,4]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[4,4,4]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,1],[4]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,2],[4]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,4],[2]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,3],[4]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,4],[3]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,4],[4]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,2],[4]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,3],[4]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,4],[3]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,4],[4]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[3,3],[4]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[3,4],[4]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1],[2],[4]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1],[3],[4]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[2],[3],[4]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1,1,1,3]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,2,3]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,3,3]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,2,3]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,3,3]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,3,3,3]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,2,3]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,3,3]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,3,3,3]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,3,3,3]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,1],[3]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,2],[3]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,3],[2]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,1,3],[3]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,2,2],[3]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,2,3],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,2,3],[3]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,3,3],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,3,3],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,2,2],[3]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,2,3],[3]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,3,3],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,1],[2,3]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[3,3]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,2],[2,3]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,2],[3,3]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
>>> Load all 2464 entries. <<<
[[2,2],[3,3]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[2],[3]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,2],[2],[3]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,3],[2],[3]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,1,1,1,2]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,2,2]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,2]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,2,2,2]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,2]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,1,2],[2]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,2,2],[2]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,2,2,2],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,1,1],[2,2]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,2],[2,2]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,6]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[2,6]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[3,6]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[4,6]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[5,6]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[6,6]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[1],[6]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[2],[6]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[3],[6]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[4],[6]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[5],[6]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[1,1,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,2,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,3,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,4,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,5,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,2,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,3,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,4,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,5,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,3,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,4,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,5,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[4,4,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[4,5,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[5,5,5]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,1],[5]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,2],[5]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,5],[2]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,3],[5]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,5],[3]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,4],[5]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,5],[4]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,5],[5]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,2],[5]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,3],[5]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,5],[3]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,4],[5]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,5],[4]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,5],[5]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[3,3],[5]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[3,4],[5]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[3,5],[4]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[3,5],[5]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[4,4],[5]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[4,5],[5]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1],[2],[5]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1],[3],[5]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1],[4],[5]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[2],[3],[5]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[2],[4],[5]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[3],[4],[5]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1,1,1,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,2,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,3,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,4,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,2,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,3,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,4,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,3,3,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,3,4,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,4,4,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,2,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,3,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,4,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,3,3,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,3,4,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,4,4,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,3,3,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,3,4,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,4,4,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[4,4,4,4]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,1],[4]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,2],[4]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,4],[2]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,1,3],[4]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,4],[3]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,1,4],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,2,2],[4]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,2,4],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,2,3],[4]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,2,4],[3]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,3,4],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,2,4],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,4,4],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,3,3],[4]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,3,4],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,3,4],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,4,4],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,4,4],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,2,2],[4]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,2,3],[4]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,2,4],[3]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,2,4],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,3,3],[4]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,3,4],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,3,4],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,4,4],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,4,4],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[3,3,3],[4]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[3,3,4],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[3,4,4],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,1],[2,4]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[3,4]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[4,4]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,2],[2,4]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,2],[3,4]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,3],[2,4]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,2],[4,4]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,3],[3,4]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,3],[4,4]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,2],[3,4]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,2],[4,4]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,3],[3,4]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[2,3],[4,4]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[3,3],[4,4]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[2],[4]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,1],[3],[4]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,2],[2],[4]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,2],[3],[4]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,3],[2],[4]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,4],[2],[3]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,4],[2],[4]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,3],[3],[4]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,4],[3],[4]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[2,2],[3],[4]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[2,3],[3],[4]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[2,4],[3],[4]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1],[2],[3],[4]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[1,1,1,1,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,2,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,2,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,3,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,2,2,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,2,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,3,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,3,3,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,2,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,3,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,3,3,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,3,3,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[3]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,1,2],[3]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,1,3],[2]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,1,3],[3]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,2,2],[3]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,2,3],[2]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,2,3],[3]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,3,3],[2]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,3,3],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,2,2,2],[3]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,2,2,3],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,2,3],[3]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,2,3,3],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,3,3],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,3,3],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,3,3,3],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,2,2,2],[3]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,2,2,3],[3]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,2,3,3],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,3,3,3],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,1,1],[2,3]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,1],[3,3]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,2],[2,3]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,1,3],[2,2]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,2],[3,3]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,3],[2,3]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,3],[3,3]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,2,2],[2,3]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,2,2],[3,3]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,2,3],[2,3]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,2,3],[3,3]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,2],[3,3]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,2,3],[3,3]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,1],[2],[3]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,1,2],[2],[3]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,1,3],[2],[3]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,2,2],[2],[3]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,2,3],[2],[3]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,3,3],[2],[3]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,1],[2,2],[3]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,1],[2,3],[3]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,2],[2,3],[3]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,1,1,1,1,2]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,2,2]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,2,2]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,2,2]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,2,2]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,2,2,2]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,1],[2]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,1,1,2],[2]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,2,2],[2]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2,2,2],[2]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,2,2],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2,2]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,2],[2,2]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2,2],[2,2]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1],[2,2,2]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,7]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[2,7]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[3,7]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[4,7]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[5,7]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[6,7]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[7,7]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[1],[7]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[2],[7]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[3],[7]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[4],[7]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[5],[7]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[6],[7]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[1,1,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,2,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,3,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,4,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,5,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,6,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,2,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,3,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,4,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,5,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,6,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,3,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,4,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,5,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,6,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[4,4,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[4,5,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[4,6,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[5,5,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[5,6,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[6,6,6]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,1],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,2],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,6],[2]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,3],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,6],[3]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,4],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,6],[4]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,5],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,6],[5]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,6],[6]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,2],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,3],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,6],[3]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,4],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,6],[4]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,5],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,6],[5]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,6],[6]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[3,3],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[3,4],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[3,6],[4]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[3,5],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[3,6],[5]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[3,6],[6]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[4,4],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[4,5],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[4,6],[5]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[4,6],[6]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[5,5],[6]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[5,6],[6]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1],[2],[6]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1],[3],[6]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1],[4],[6]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1],[5],[6]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[2],[3],[6]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[2],[4],[6]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[2],[5],[6]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[3],[4],[6]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[3],[5],[6]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[4],[5],[6]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1,1,1,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,2,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,3,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,4,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,2,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,3,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,4,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,3,3,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,3,4,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,3,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,4,4,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,4,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,5,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,2,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,3,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,4,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,3,3,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,3,4,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,3,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,4,4,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,4,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,5,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,3,3,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,3,4,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,3,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,4,4,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,4,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,5,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[4,4,4,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[4,4,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[4,5,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[5,5,5,5]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,1],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,2],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,5],[2]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,1,3],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,5],[3]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,1,4],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,5],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,1,5],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,2,2],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,2,5],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,2,3],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,2,5],[3]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,3,5],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,2,4],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,2,5],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,4,5],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,2,5],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,5,5],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,3,3],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,3,5],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,3,4],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,3,5],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,4,5],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,3,5],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,5,5],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,4,4],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,4,5],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,4,5],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,5,5],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,5,5],[5]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,2,2],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,2,3],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,2,5],[3]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,2,4],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,2,5],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,2,5],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,3,3],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,3,5],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,3,4],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,3,5],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,4,5],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,3,5],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,5,5],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,4,4],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,4,5],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,4,5],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,5,5],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,5,5],[5]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[3,3,3],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[3,3,4],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[3,3,5],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[3,3,5],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[3,4,4],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[3,4,5],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[3,4,5],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[3,5,5],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[3,5,5],[5]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[4,4,4],[5]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[4,4,5],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[4,5,5],[5]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,1],[2,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[3,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[4,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[5,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,2],[2,5]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,2],[3,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,3],[2,5]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,2],[4,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,4],[2,5]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,2],[5,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,3],[3,5]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,3],[4,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,4],[3,5]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,3],[5,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,4],[4,5]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,4],[5,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,2],[3,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,2],[4,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,2],[5,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,3],[3,5]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[2,3],[4,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,4],[3,5]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[2,3],[5,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,4],[4,5]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[2,4],[5,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[3,3],[4,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[3,3],[5,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[3,4],[4,5]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[3,4],[5,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[4,4],[5,5]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[2],[5]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,1],[3],[5]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,1],[4],[5]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,2],[2],[5]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,2],[3],[5]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,3],[2],[5]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,5],[2],[3]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,2],[4],[5]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,4],[2],[5]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,5],[2],[4]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,5],[2],[5]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,3],[3],[5]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,3],[4],[5]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,4],[3],[5]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,5],[3],[4]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,5],[3],[5]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,4],[4],[5]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,5],[4],[5]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[2,2],[3],[5]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[2,2],[4],[5]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[2,3],[3],[5]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[2,3],[4],[5]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[2,4],[3],[5]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[2,5],[3],[4]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[2,5],[3],[5]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[2,4],[4],[5]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[2,5],[4],[5]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[3,3],[4],[5]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[3,4],[4],[5]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[3,5],[4],[5]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1],[2],[3],[5]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[1],[2],[4],[5]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[1],[3],[4],[5]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[2],[3],[4],[5]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[1,1,1,1,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,2,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,2,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,2,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,3,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,3,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,2,2,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,2,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,2,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,3,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,3,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,3,3,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,3,3,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,3,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,4,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,2,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,2,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,3,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,3,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,3,3,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,3,3,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,3,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,4,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,3,3,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,3,3,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,3,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,4,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[4,4,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,1,2],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,1,4],[2]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,1,3],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,1,4],[3]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,1,4],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,2,2],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,2,4],[2]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,2,3],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,2,4],[3]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,3,4],[2]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,2,4],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,4,4],[2]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,3,3],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,3,4],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,3,4],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,4,4],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,4,4],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,2,2,2],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,2,2,4],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,2,3],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,2,2,4],[3]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,2,3,4],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,2,4],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,2,4,4],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,3,3],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,2,3,4],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,3,4],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,3,4],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,2,4,4],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,4,4],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,4,4],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,4,4,4],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,3,3,3],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,3,3,4],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,3,3,4],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,3,4,4],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,3,4,4],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,4,4,4],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,4,4,4],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,2,2,2],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,2,2,3],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,2,2,4],[3]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,2,2,4],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,2,3,3],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,2,3,4],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,3,4],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,2,4,4],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,4,4],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,3,3,3],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,3,3,4],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,3,3,4],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,3,4,4],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,3,4,4],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,4,4,4],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,4,4,4],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[3,3,3,3],[4]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[3,3,3,4],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[3,3,4,4],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[3,4,4,4],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,1,1],[2,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,1],[3,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,1],[4,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,2],[2,4]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,1,4],[2,2]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,2],[3,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,3],[2,4]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,1,4],[2,3]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,2],[4,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,4],[2,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,3],[3,4]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,1,4],[3,3]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,3],[4,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,4],[3,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,4],[4,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,2,2],[2,4]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,2,2],[3,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,2,3],[2,4]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,2,4],[2,3]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,2,2],[4,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,2,4],[2,4]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,2,3],[3,4]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,2,4],[3,3]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,3],[2,4]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,2,3],[4,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,2,4],[3,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,4],[2,4]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,2,4],[4,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,3],[3,4]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,3,3],[4,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,3,4],[3,4]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,3,4],[4,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,2],[3,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,2,2],[4,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,2,3],[3,4]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[2,2,4],[3,3]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,3],[4,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,2,4],[3,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,4],[4,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,3,3],[3,4]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[2,3,3],[4,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,3,4],[3,4]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[2,3,4],[4,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[3,3,3],[4,4]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[3,3,4],[4,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,1],[2],[4]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,1,1],[3],[4]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,1,2],[2],[4]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,1,2],[3],[4]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,1,3],[2],[4]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,1,4],[2],[3]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,1,4],[2],[4]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,1,3],[3],[4]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,1,4],[3],[4]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,2,2],[2],[4]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,2,2],[3],[4]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,2,3],[2],[4]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,2,4],[2],[3]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,2,4],[2],[4]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,2,3],[3],[4]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,3,3],[2],[4]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,3,4],[2],[3]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,2,4],[3],[4]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,3,4],[2],[4]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,4,4],[2],[3]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,4,4],[2],[4]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,3,3],[3],[4]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,3,4],[3],[4]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,4,4],[3],[4]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[2,2,2],[3],[4]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[2,2,3],[3],[4]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[2,2,4],[3],[4]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[2,3,3],[3],[4]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[2,3,4],[3],[4]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[2,4,4],[3],[4]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,1],[2,2],[4]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,1],[2,3],[4]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,1],[2,4],[3]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,1],[2,4],[4]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,1],[3,3],[4]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,1],[3,4],[4]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,2],[2,3],[4]] => [5,2,4,1,3] => [2,4,5,3,1] => [4,2,5,3,1] => [[[.,.],[[.,.],.]],.]
[[1,2],[2,4],[3]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,2],[2,4],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,2],[3,3],[4]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,3],[2,4],[3]] => [3,2,5,1,4] => [2,1,4,5,3] => [4,2,1,5,3] => [[[.,.],.],[[.,.],.]]
[[1,2],[3,4],[4]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,3],[2,4],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,3],[3,4],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[2,2],[3,3],[4]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[2,2],[3,4],[4]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[2,3],[3,4],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,1],[2],[3],[4]] => [5,4,3,1,2] => [4,5,3,2,1] => [4,5,3,2,1] => [[[[.,[.,.]],.],.],.]
[[1,2],[2],[3],[4]] => [5,4,2,1,3] => [4,3,5,2,1] => [4,3,5,2,1] => [[[[.,.],[.,.]],.],.]
[[1,3],[2],[3],[4]] => [5,3,2,1,4] => [4,3,2,5,1] => [4,3,2,5,1] => [[[[.,.],.],[.,.]],.]
[[1,4],[2],[3],[4]] => [4,3,2,1,5] => [4,3,2,1,5] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]]
[[1,1,1,1,1,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,2,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,2,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,2,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,3,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,2,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,3,3,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,2,2,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,2,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,3,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,3,3,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[3,3,3,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,1],[3]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,1,1,2],[3]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,1,1,3],[2]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,1,3],[3]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,2,2],[3]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,1,2,3],[2]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,2,3],[3]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,3,3],[2]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,3,3],[3]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2,2,2],[3]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,2,2,3],[2]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,2,3],[3]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,2,3,3],[2]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,3,3],[3]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3,3,3],[2]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,3,3],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,2,2],[3]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,2,2,2,3],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,2,3],[3]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,2,3,3],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,3,3],[3]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3,3,3],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,3,3],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,3,3,3],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,3,3],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,2,2],[3]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[2,2,2,2,3],[3]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,2,3,3],[3]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,3,3,3],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[2,3,3,3,3],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2,3]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,1],[3,3]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,2],[2,3]] => [4,6,1,2,3,5] => [3,4,1,5,6,2] => [3,4,5,1,6,2] => [[.,[.,[.,.]]],[[.,.],.]]
[[1,1,1,3],[2,2]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,2],[3,3]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,3],[2,3]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,3],[3,3]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2,2],[2,3]] => [3,6,1,2,4,5] => [3,1,4,5,6,2] => [3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]]
[[1,1,2,3],[2,2]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,2],[3,3]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,2,3],[2,3]] => [3,5,1,2,4,6] => [3,1,4,5,2,6] => [3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,1,3,3],[2,2]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,3],[3,3]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3,3],[2,3]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,3],[3,3]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,2],[2,3]] => [2,6,1,3,4,5] => [1,3,4,5,6,2] => [3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]]
[[1,2,2,2],[3,3]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,2,3],[2,3]] => [2,5,1,3,4,6] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,2,2,3],[3,3]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3,3],[2,3]] => [2,4,1,3,5,6] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[1,2,3,3],[3,3]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,2,2],[3,3]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,2,3],[3,3]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,3,3],[3,3]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,1],[2],[3]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.]
[[1,1,1,2],[2],[3]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,1,1,3],[2],[3]] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,1,2,2],[2],[3]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,1,2,3],[2],[3]] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,3,3],[2],[3]] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,2,2,2],[2],[3]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.]
[[1,2,2,3],[2],[3]] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,2,3,3],[2],[3]] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,3,3,3],[2],[3]] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[1,1,1],[2,2,3]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[2,3,3]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[3,3,3]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2],[2,2,3]] => [3,4,6,1,2,5] => [1,4,2,5,6,3] => [4,5,1,2,6,3] => [[.,[.,.]],[.,[[.,.],.]]]
[[1,1,2],[2,3,3]] => [3,5,6,1,2,4] => [1,4,5,2,6,3] => [4,5,1,6,2,3] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,1,2],[3,3,3]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,2],[2,3,3]] => [2,5,6,1,3,4] => [4,5,1,2,6,3] => [4,1,5,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,2,2],[3,3,3]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,2],[3,3,3]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[2,2],[3]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => [4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,1,1],[2,3],[3]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => [4,5,6,2,1,3] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,1,2],[2,2],[3]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => [4,5,2,3,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,1,2],[2,3],[3]] => [5,3,6,1,2,4] => [4,2,5,1,6,3] => [4,5,2,6,1,3] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,3],[2,2],[3]] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => [4,5,2,3,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,3],[2,3],[3]] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => [4,5,2,1,3,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,2,2],[2,3],[3]] => [5,2,6,1,3,4] => [2,4,5,1,6,3] => [4,2,5,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,2,3],[2,3],[3]] => [4,2,5,1,3,6] => [2,4,1,5,3,6] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,1],[2,2],[3,3]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,1,1,1,1,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,2,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,2,2,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,2,2,2,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,2,2,2,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,2,2,2,2,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,2,2,2,2,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,1],[2]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,1,1,1,1,2],[2]] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,1,2,2],[2]] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,2,2,2],[2]] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,2,2,2],[2]] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,2,2,2,2,2],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,1],[2,2]] => [6,7,1,2,3,4,5] => [3,4,5,6,1,7,2] => [3,4,5,6,7,1,2] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,1,2],[2,2]] => [5,6,1,2,3,4,7] => [3,4,5,1,6,2,7] => [3,4,5,6,1,2,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,2,2],[2,2]] => [4,5,1,2,3,6,7] => [3,4,1,5,2,6,7] => [3,4,5,1,2,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,2,2],[2,2]] => [3,4,1,2,5,6,7] => [3,1,4,2,5,6,7] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2,2,2]] => [5,6,7,1,2,3,4] => [4,5,1,6,2,7,3] => [4,5,6,7,1,2,3] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,2],[2,2,2]] => [4,5,6,1,2,3,7] => [4,1,5,2,6,3,7] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,8]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[2,8]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[3,8]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[4,8]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[5,8]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[6,8]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[7,8]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[8,8]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[1],[8]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[2],[8]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[3],[8]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[4],[8]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[5],[8]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[6],[8]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[7],[8]] => [2,1] => [2,1] => [2,1] => [[.,.],.]
[[1,1,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,2,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,3,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,4,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,5,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,6,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,7,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,2,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,3,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,4,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,5,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,6,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[2,7,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,3,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,4,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,5,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,6,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[3,7,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[4,4,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[4,5,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[4,6,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[4,7,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[5,5,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[5,6,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[5,7,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[6,6,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[6,7,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[7,7,7]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[1,1],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,2],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,7],[2]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,3],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,7],[3]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,4],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,7],[4]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,5],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,7],[5]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,6],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[1,7],[6]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1,7],[7]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,2],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,3],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,7],[3]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,4],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,7],[4]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,5],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,7],[5]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,6],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[2,7],[6]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[2,7],[7]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[3,3],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[3,4],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[3,7],[4]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[3,5],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[3,7],[5]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[3,6],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[3,7],[6]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[3,7],[7]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[4,4],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[4,5],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[4,7],[5]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[4,6],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[4,7],[6]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[4,7],[7]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[5,5],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[5,6],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[5,7],[6]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[5,7],[7]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[6,6],[7]] => [3,1,2] => [2,3,1] => [2,3,1] => [[.,[.,.]],.]
[[6,7],[7]] => [2,1,3] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[[1],[2],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1],[3],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1],[4],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1],[5],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1],[6],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[2],[3],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[2],[4],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[2],[5],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[2],[6],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[3],[4],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[3],[5],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[3],[6],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[4],[5],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[4],[6],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[5],[6],[7]] => [3,2,1] => [3,2,1] => [3,2,1] => [[[.,.],.],.]
[[1,1,1,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,2,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,3,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,4,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,2,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,3,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,4,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,2,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,3,3,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,3,4,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,3,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,3,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,4,4,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,4,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,4,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,5,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,5,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,6,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,2,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,3,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,4,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,2,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,3,3,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,3,4,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,3,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,3,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,4,4,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,4,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,4,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,5,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,5,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[2,6,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,3,3,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,3,4,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,3,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,3,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,4,4,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,4,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,4,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,5,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,5,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[3,6,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[4,4,4,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[4,4,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[4,4,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[4,5,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[4,5,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[4,6,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[5,5,5,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[5,5,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[5,6,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[6,6,6,6]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[1,1,1],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,2],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,6],[2]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,1,3],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,6],[3]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,1,4],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,6],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,1,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,1,6],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,1,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,2,2],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,2,6],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,2,3],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,2,6],[3]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,3,6],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,2,4],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,2,6],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,4,6],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,2,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,2,6],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,5,6],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,2,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,6,6],[2]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,3,3],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,3,6],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,3,4],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,3,6],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,4,6],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,3,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,3,6],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,5,6],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,3,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,6,6],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,4,4],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,4,6],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,4,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,4,6],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,5,6],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,4,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,6,6],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,5,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[1,5,6],[5]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,5,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[1,6,6],[5]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,6,6],[6]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,2,2],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,2,3],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,2,6],[3]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,2,4],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,2,6],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,2,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,2,6],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,2,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,3,3],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,3,6],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,3,4],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,3,6],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,4,6],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,3,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,3,6],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,5,6],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,3,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,6,6],[3]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,4,4],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,4,6],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,4,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,4,6],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,5,6],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,4,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,6,6],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,5,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[2,5,6],[5]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,5,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[2,6,6],[5]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[2,6,6],[6]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[3,3,3],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[3,3,4],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[3,3,6],[4]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[3,3,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[3,3,6],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[3,3,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[3,4,4],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[3,4,6],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[3,4,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[3,4,6],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[3,5,6],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[3,4,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[3,6,6],[4]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[3,5,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[3,5,6],[5]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[3,5,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[3,6,6],[5]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[3,6,6],[6]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[4,4,4],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[4,4,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[4,4,6],[5]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[4,4,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[4,5,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[4,5,6],[5]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[4,5,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[4,6,6],[5]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[4,6,6],[6]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[5,5,5],[6]] => [4,1,2,3] => [2,3,4,1] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[5,5,6],[6]] => [3,1,2,4] => [2,3,1,4] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[5,6,6],[6]] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[1,1],[2,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[3,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[4,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[5,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,2],[2,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,2],[3,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,3],[2,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,2],[4,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,4],[2,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,2],[5,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,5],[2,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,2],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,3],[3,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,3],[4,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,4],[3,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,3],[5,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,5],[3,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,3],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,4],[4,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,4],[5,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,5],[4,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,4],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,5],[5,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[1,5],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,2],[3,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,2],[4,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,2],[5,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,2],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,3],[3,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[2,3],[4,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,4],[3,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[2,3],[5,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,5],[3,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[2,3],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,4],[4,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[2,4],[5,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,5],[4,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[2,4],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[2,5],[5,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[2,5],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[3,3],[4,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[3,3],[5,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[3,3],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[3,4],[4,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[3,4],[5,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[3,5],[4,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[3,4],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[3,5],[5,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[3,5],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[4,4],[5,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[4,4],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[4,5],[5,6]] => [2,4,1,3] => [1,3,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]]
[[4,5],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[5,5],[6,6]] => [3,4,1,2] => [3,1,4,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[[1,1],[2],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,1],[3],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,1],[4],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,1],[5],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,2],[2],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,2],[3],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,3],[2],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,6],[2],[3]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,2],[4],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,4],[2],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,6],[2],[4]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,2],[5],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,5],[2],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,6],[2],[5]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,6],[2],[6]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,3],[3],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,3],[4],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,4],[3],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,6],[3],[4]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,3],[5],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,5],[3],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,6],[3],[5]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,6],[3],[6]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,4],[4],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,4],[5],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[1,5],[4],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,6],[4],[5]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,6],[4],[6]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1,5],[5],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[1,6],[5],[6]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[2,2],[3],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[2,2],[4],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[2,2],[5],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[2,3],[3],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[2,3],[4],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[2,4],[3],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[2,6],[3],[4]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[2,3],[5],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[2,5],[3],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[2,6],[3],[5]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[2,6],[3],[6]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[2,4],[4],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[2,4],[5],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[2,5],[4],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[2,6],[4],[5]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[2,6],[4],[6]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[2,5],[5],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[2,6],[5],[6]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[3,3],[4],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[3,3],[5],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[3,4],[4],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[3,4],[5],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[3,5],[4],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[3,6],[4],[5]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[3,6],[4],[6]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[3,5],[5],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[3,6],[5],[6]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[4,4],[5],[6]] => [4,3,1,2] => [3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.]
[[4,5],[5],[6]] => [4,2,1,3] => [3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.]
[[4,6],[5],[6]] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[1],[2],[3],[6]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[1],[2],[4],[6]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[1],[2],[5],[6]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[1],[3],[4],[6]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[1],[3],[5],[6]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[1],[4],[5],[6]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[2],[3],[4],[6]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[2],[3],[5],[6]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[2],[4],[5],[6]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[3],[4],[5],[6]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.]
[[1,1,1,1,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,2,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,2,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,2,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,2,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,3,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,3,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,2,2,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,2,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,2,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,2,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,3,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,3,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,2,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,3,3,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,3,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,3,3,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,3,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,3,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,3,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,4,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,4,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,4,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,5,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,2,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,2,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,2,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,3,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,3,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,2,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,3,3,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,3,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,3,3,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,3,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,3,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,3,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,4,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,4,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,4,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[2,5,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,3,3,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,3,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,3,3,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,3,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,3,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,3,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,4,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,4,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,4,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[3,5,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[4,4,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[4,4,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[4,4,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[4,5,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[5,5,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,1,2],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,1,5],[2]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,1,3],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,1,5],[3]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,1,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,1,5],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,1,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,2,2],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,2,5],[2]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,2,3],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,2,5],[3]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,3,5],[2]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,2,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,2,5],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,4,5],[2]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,2,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,5,5],[2]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,3,3],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,3,5],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,3,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,3,5],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,4,5],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,3,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,5,5],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,4,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,1,4,5],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,4,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,1,5,5],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,5,5],[5]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,2,2,2],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,2,2,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,2,3],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,2,2,5],[3]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,2,3,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,2,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,2,2,5],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,2,4,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,2,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,2,5,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,3,3],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,2,3,5],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,3,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,3,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,2,3,5],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,2,4,5],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,4,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,3,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,2,5,5],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,5,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,4,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,2,4,5],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,4,4,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,4,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,2,5,5],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,4,5,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,2,5,5],[5]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,5,5,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,3,3,3],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,3,3,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,3,3,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,3,3,5],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,3,4,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,3,3,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,3,5,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,3,4,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,3,4,5],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,4,4,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,3,4,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,3,5,5],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,4,5,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,3,5,5],[5]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,5,5,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,4,4,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[1,4,4,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,4,4,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[1,4,5,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,4,5,5],[5]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[1,5,5,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,5,5,5],[5]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,2,2,2],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,2,2,3],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,2,2,5],[3]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,2,2,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,2,2,5],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,2,2,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,2,3,3],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,2,3,5],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,3,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,2,3,5],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,2,4,5],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,3,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,2,5,5],[3]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,4,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,2,4,5],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,4,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,2,5,5],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,5,5],[5]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,3,3,3],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,3,3,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,3,3,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,3,3,5],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,3,4,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,3,3,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,3,5,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,3,4,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,3,4,5],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,4,4,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,3,4,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,3,5,5],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,4,5,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,3,5,5],[5]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,5,5,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,4,4,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[2,4,4,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,4,4,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[2,4,5,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,4,5,5],[5]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[2,5,5,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[2,5,5,5],[5]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[3,3,3,3],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[3,3,3,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[3,3,3,5],[4]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[3,3,3,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[3,3,4,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[3,3,4,5],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[3,3,4,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[3,3,5,5],[4]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[3,3,5,5],[5]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[3,4,4,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[3,4,4,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[3,4,4,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[3,4,5,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[3,4,5,5],[5]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[3,5,5,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[3,5,5,5],[5]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[4,4,4,4],[5]] => [5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[4,4,4,5],[5]] => [4,1,2,3,5] => [2,3,4,1,5] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[4,4,5,5],[5]] => [3,1,2,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[4,5,5,5],[5]] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[1,1,1],[2,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,1],[3,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,1],[4,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,1],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,2],[2,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,1,5],[2,2]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,2],[3,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,3],[2,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,1,5],[2,3]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,2],[4,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,4],[2,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,1,5],[2,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,2],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,5],[2,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,3],[3,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,1,5],[3,3]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,3],[4,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,4],[3,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,1,5],[3,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,3],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,5],[3,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,4],[4,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,1,5],[4,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,4],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,1,5],[4,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,5],[5,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,2,2],[2,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,2,2],[3,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,2,3],[2,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,2,5],[2,3]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,2,2],[4,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,2,4],[2,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,2,5],[2,4]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,2,2],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,2,5],[2,5]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,2,3],[3,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,2,5],[3,3]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,3],[2,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,2,3],[4,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,2,4],[3,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,2,5],[3,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,4],[2,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,3,5],[2,4]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,2,3],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,2,5],[3,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,5],[2,5]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,2,4],[4,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,2,5],[4,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,4,4],[2,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,2,4],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,2,5],[4,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,4,5],[2,5]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,2,5],[5,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,3,3],[3,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,3,3],[4,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,3,4],[3,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,3,5],[3,4]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,3,3],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,3,5],[3,5]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,3,4],[4,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[1,3,5],[4,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,4,4],[3,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,3,4],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,3,5],[4,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,4,5],[3,5]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,3,5],[5,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,4,4],[4,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[1,4,4],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[1,4,5],[4,5]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[1,4,5],[5,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,2],[3,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,2,2],[4,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,2,2],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,2,3],[3,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[2,2,5],[3,3]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,3],[4,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,2,4],[3,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[2,2,5],[3,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,3],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,2,5],[3,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,4],[4,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[2,2,5],[4,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,4],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,2,5],[4,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,2,5],[5,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,3,3],[3,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[2,3,3],[4,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,3,4],[3,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[2,3,5],[3,4]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[2,3,3],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,3,5],[3,5]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[2,3,4],[4,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[2,3,5],[4,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,4,4],[3,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[2,3,4],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,3,5],[4,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,4,5],[3,5]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[2,3,5],[5,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[2,4,4],[4,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[2,4,4],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[2,4,5],[4,5]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[2,4,5],[5,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[3,3,3],[4,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[3,3,3],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[3,3,4],[4,5]] => [3,5,1,2,4] => [3,1,4,5,2] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]]
[[3,3,5],[4,4]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[3,3,4],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[3,3,5],[4,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[3,3,5],[5,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[3,4,4],[4,5]] => [2,5,1,3,4] => [1,3,4,5,2] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]]
[[3,4,4],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[3,4,5],[4,5]] => [2,4,1,3,5] => [1,3,4,2,5] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]]
[[3,4,5],[5,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[4,4,4],[5,5]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]]
[[4,4,5],[5,5]] => [3,4,1,2,5] => [3,1,4,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[[1,1,1],[2],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,1,1],[3],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,1,1],[4],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,1,2],[2],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,1,2],[3],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,1,3],[2],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,1,5],[2],[3]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,1,2],[4],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,1,4],[2],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,1,5],[2],[4]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,1,5],[2],[5]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,1,3],[3],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,1,3],[4],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,1,4],[3],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,1,5],[3],[4]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,1,5],[3],[5]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,1,4],[4],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,1,5],[4],[5]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,2,2],[2],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,2,2],[3],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,2,3],[2],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,2,5],[2],[3]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,2,2],[4],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,2,4],[2],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,2,5],[2],[4]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,2,5],[2],[5]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,2,3],[3],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,3,3],[2],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,3,5],[2],[3]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,2,3],[4],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,2,4],[3],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,2,5],[3],[4]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,3,4],[2],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,3,5],[2],[4]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,4,5],[2],[3]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,2,5],[3],[5]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,3,5],[2],[5]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,5,5],[2],[3]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,2,4],[4],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,4,4],[2],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,4,5],[2],[4]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,2,5],[4],[5]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,4,5],[2],[5]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,5,5],[2],[4]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,5,5],[2],[5]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,3,3],[3],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,3,3],[4],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[1,3,4],[3],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,3,5],[3],[4]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,3,5],[3],[5]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,3,4],[4],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[1,4,4],[3],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,4,5],[3],[4]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,3,5],[4],[5]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[1,4,5],[3],[5]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,5,5],[3],[4]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,5,5],[3],[5]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,4,4],[4],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[1,4,5],[4],[5]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[1,5,5],[4],[5]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[2,2,2],[3],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[2,2,2],[4],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[2,2,3],[3],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[2,2,3],[4],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[2,2,4],[3],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[2,2,5],[3],[4]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[2,2,5],[3],[5]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[2,2,4],[4],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[2,2,5],[4],[5]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[2,3,3],[3],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[2,3,3],[4],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[2,3,4],[3],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[2,3,5],[3],[4]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[2,3,5],[3],[5]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[2,3,4],[4],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[2,4,4],[3],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[2,4,5],[3],[4]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[2,3,5],[4],[5]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[2,4,5],[3],[5]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[2,5,5],[3],[4]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[2,5,5],[3],[5]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[2,4,4],[4],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[2,4,5],[4],[5]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[2,5,5],[4],[5]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[3,3,3],[4],[5]] => [5,4,1,2,3] => [3,4,5,2,1] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[[3,3,4],[4],[5]] => [5,3,1,2,4] => [3,4,2,5,1] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[[3,3,5],[4],[5]] => [4,3,1,2,5] => [3,4,2,1,5] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[3,4,4],[4],[5]] => [5,2,1,3,4] => [3,2,4,5,1] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[[3,4,5],[4],[5]] => [4,2,1,3,5] => [3,2,4,1,5] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[3,5,5],[4],[5]] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[1,1],[2,2],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,1],[2,3],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,1],[2,5],[3]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,1],[2,4],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,1],[2,5],[4]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,1],[2,5],[5]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,1],[3,3],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,1],[3,4],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,1],[3,5],[4]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,1],[3,5],[5]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,1],[4,4],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,1],[4,5],[5]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,2],[2,3],[5]] => [5,2,4,1,3] => [2,4,5,3,1] => [4,2,5,3,1] => [[[.,.],[[.,.],.]],.]
[[1,2],[2,5],[3]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,2],[2,4],[5]] => [5,2,4,1,3] => [2,4,5,3,1] => [4,2,5,3,1] => [[[.,.],[[.,.],.]],.]
[[1,2],[2,5],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,2],[2,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,2],[3,3],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,3],[2,5],[3]] => [3,2,5,1,4] => [2,1,4,5,3] => [4,2,1,5,3] => [[[.,.],.],[[.,.],.]]
[[1,2],[3,4],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,2],[3,5],[4]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,3],[2,4],[5]] => [5,2,4,1,3] => [2,4,5,3,1] => [4,2,5,3,1] => [[[.,.],[[.,.],.]],.]
[[1,3],[2,5],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,4],[2,5],[3]] => [3,2,5,1,4] => [2,1,4,5,3] => [4,2,1,5,3] => [[[.,.],.],[[.,.],.]]
[[1,2],[3,5],[5]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,3],[2,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,2],[4,4],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,4],[2,5],[4]] => [3,2,5,1,4] => [2,1,4,5,3] => [4,2,1,5,3] => [[[.,.],.],[[.,.],.]]
[[1,2],[4,5],[5]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,4],[2,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,3],[3,4],[5]] => [5,2,4,1,3] => [2,4,5,3,1] => [4,2,5,3,1] => [[[.,.],[[.,.],.]],.]
[[1,3],[3,5],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,3],[3,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,3],[4,4],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[1,4],[3,5],[4]] => [3,2,5,1,4] => [2,1,4,5,3] => [4,2,1,5,3] => [[[.,.],.],[[.,.],.]]
[[1,3],[4,5],[5]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[1,4],[3,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,4],[4,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[2,2],[3,3],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[2,2],[3,4],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[2,2],[3,5],[4]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[2,2],[3,5],[5]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[2,2],[4,4],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[2,2],[4,5],[5]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[2,3],[3,4],[5]] => [5,2,4,1,3] => [2,4,5,3,1] => [4,2,5,3,1] => [[[.,.],[[.,.],.]],.]
[[2,3],[3,5],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[2,3],[3,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[2,3],[4,4],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[2,4],[3,5],[4]] => [3,2,5,1,4] => [2,1,4,5,3] => [4,2,1,5,3] => [[[.,.],.],[[.,.],.]]
[[2,3],[4,5],[5]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[2,4],[3,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[2,4],[4,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[3,3],[4,4],[5]] => [5,3,4,1,2] => [4,2,5,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.]
[[3,3],[4,5],[5]] => [4,3,5,1,2] => [4,2,1,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]]
[[3,4],[4,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]]
[[1,1],[2],[3],[5]] => [5,4,3,1,2] => [4,5,3,2,1] => [4,5,3,2,1] => [[[[.,[.,.]],.],.],.]
[[1,1],[2],[4],[5]] => [5,4,3,1,2] => [4,5,3,2,1] => [4,5,3,2,1] => [[[[.,[.,.]],.],.],.]
[[1,1],[3],[4],[5]] => [5,4,3,1,2] => [4,5,3,2,1] => [4,5,3,2,1] => [[[[.,[.,.]],.],.],.]
[[1,2],[2],[3],[5]] => [5,4,2,1,3] => [4,3,5,2,1] => [4,3,5,2,1] => [[[[.,.],[.,.]],.],.]
[[1,2],[2],[4],[5]] => [5,4,2,1,3] => [4,3,5,2,1] => [4,3,5,2,1] => [[[[.,.],[.,.]],.],.]
[[1,3],[2],[3],[5]] => [5,3,2,1,4] => [4,3,2,5,1] => [4,3,2,5,1] => [[[[.,.],.],[.,.]],.]
[[1,2],[3],[4],[5]] => [5,4,3,1,2] => [4,5,3,2,1] => [4,5,3,2,1] => [[[[.,[.,.]],.],.],.]
[[1,3],[2],[4],[5]] => [5,4,2,1,3] => [4,3,5,2,1] => [4,3,5,2,1] => [[[[.,.],[.,.]],.],.]
[[1,4],[2],[3],[5]] => [5,3,2,1,4] => [4,3,2,5,1] => [4,3,2,5,1] => [[[[.,.],.],[.,.]],.]
[[1,5],[2],[3],[4]] => [4,3,2,1,5] => [4,3,2,1,5] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]]
[[1,5],[2],[3],[5]] => [4,3,2,1,5] => [4,3,2,1,5] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]]
[[1,4],[2],[4],[5]] => [5,3,2,1,4] => [4,3,2,5,1] => [4,3,2,5,1] => [[[[.,.],.],[.,.]],.]
[[1,5],[2],[4],[5]] => [4,3,2,1,5] => [4,3,2,1,5] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]]
[[1,3],[3],[4],[5]] => [5,4,2,1,3] => [4,3,5,2,1] => [4,3,5,2,1] => [[[[.,.],[.,.]],.],.]
[[1,4],[3],[4],[5]] => [5,3,2,1,4] => [4,3,2,5,1] => [4,3,2,5,1] => [[[[.,.],.],[.,.]],.]
[[1,5],[3],[4],[5]] => [4,3,2,1,5] => [4,3,2,1,5] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]]
[[2,2],[3],[4],[5]] => [5,4,3,1,2] => [4,5,3,2,1] => [4,5,3,2,1] => [[[[.,[.,.]],.],.],.]
[[2,3],[3],[4],[5]] => [5,4,2,1,3] => [4,3,5,2,1] => [4,3,5,2,1] => [[[[.,.],[.,.]],.],.]
[[2,4],[3],[4],[5]] => [5,3,2,1,4] => [4,3,2,5,1] => [4,3,2,5,1] => [[[[.,.],.],[.,.]],.]
[[2,5],[3],[4],[5]] => [4,3,2,1,5] => [4,3,2,1,5] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]]
[[1],[2],[3],[4],[5]] => [5,4,3,2,1] => [5,4,3,2,1] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.]
[[1,1,1,1,1,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,2,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,2,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,2,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,3,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,3,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,3,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,2,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,3,3,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,3,3,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,3,3,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,3,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,4,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,2,2,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,2,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,2,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,3,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,3,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,3,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,3,3,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,3,3,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,3,3,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,3,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[2,4,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[3,3,3,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[3,3,3,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[3,3,3,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[3,3,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[3,4,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[4,4,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,1],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,1,1,2],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,1,1,4],[2]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,1,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,1,1,4],[3]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,1,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,2,2],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,1,2,4],[2]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,2,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,1,2,4],[3]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,3,4],[2]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,2,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,4,4],[2]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,3,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,1,3,4],[3]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,3,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,4,4],[3]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,4,4],[4]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2,2,2],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,2,2,4],[2]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,2,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,2,2,4],[3]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,2,3,4],[2]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,2,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,2,4,4],[2]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,3,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,2,3,4],[3]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3,3,4],[2]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,3,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,2,4,4],[3]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3,4,4],[2]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,4,4],[4]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,4,4,4],[2]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,3,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,3,3,4],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,3,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,3,4,4],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,4,4],[4]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,4,4,4],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,4,4,4],[4]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,2,2],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,2,2,2,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,2,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,2,2,2,4],[3]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,2,3,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,2,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,2,4,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,3,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,2,2,3,4],[3]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3,3,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,3,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,2,4,4],[3]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3,4,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,4,4],[4]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,4,4,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,3,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,2,3,3,4],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,3,3,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,3,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,3,4,4],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,3,4,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,4,4],[4]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,4,4,4],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,4,4,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,4,4,4],[4]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,4,4,4,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,3,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,3,3,3,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,3,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,3,3,4,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,4,4],[4]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,3,4,4,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,4,4,4],[4]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,4,4,4,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,4,4,4,4],[4]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,2,2],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[2,2,2,2,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[2,2,2,2,4],[3]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,2,2,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,2,3,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[2,2,2,3,4],[3]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,2,3,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,2,4,4],[3]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,2,4,4],[4]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,3,3,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[2,2,3,3,4],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,3,3,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,3,4,4],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,3,4,4],[4]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,4,4,4],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,4,4,4],[4]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[2,3,3,3,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[2,3,3,3,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[2,3,3,3,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[2,3,3,4,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[2,3,3,4,4],[4]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,3,4,4,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[2,3,4,4,4],[4]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[2,4,4,4,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[2,4,4,4,4],[4]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[3,3,3,3,3],[4]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[3,3,3,3,4],[4]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[3,3,3,4,4],[4]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[3,3,4,4,4],[4]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[3,4,4,4,4],[4]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,1],[3,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,1],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,2],[2,4]] => [4,6,1,2,3,5] => [3,4,1,5,6,2] => [3,4,5,1,6,2] => [[.,[.,[.,.]]],[[.,.],.]]
[[1,1,1,4],[2,2]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,2],[3,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,3],[2,4]] => [4,6,1,2,3,5] => [3,4,1,5,6,2] => [3,4,5,1,6,2] => [[.,[.,[.,.]]],[[.,.],.]]
[[1,1,1,4],[2,3]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,2],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,4],[2,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,3],[3,4]] => [4,6,1,2,3,5] => [3,4,1,5,6,2] => [3,4,5,1,6,2] => [[.,[.,[.,.]]],[[.,.],.]]
[[1,1,1,4],[3,3]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,3],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,4],[3,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,4],[4,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2,2],[2,4]] => [3,6,1,2,4,5] => [3,1,4,5,6,2] => [3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]]
[[1,1,2,4],[2,2]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,2],[3,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,2,3],[2,4]] => [3,6,1,2,4,5] => [3,1,4,5,6,2] => [3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]]
[[1,1,2,4],[2,3]] => [3,5,1,2,4,6] => [3,1,4,5,2,6] => [3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,1,3,4],[2,2]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,2],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,2,4],[2,4]] => [3,5,1,2,4,6] => [3,1,4,5,2,6] => [3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,1,4,4],[2,2]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,3],[3,4]] => [4,6,1,2,3,5] => [3,4,1,5,6,2] => [3,4,5,1,6,2] => [[.,[.,[.,.]]],[[.,.],.]]
[[1,1,2,4],[3,3]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3,3],[2,4]] => [3,6,1,2,4,5] => [3,1,4,5,6,2] => [3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]]
[[1,1,3,4],[2,3]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,3],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,2,4],[3,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3,4],[2,4]] => [3,5,1,2,4,6] => [3,1,4,5,2,6] => [3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,1,4,4],[2,3]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,4],[4,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,4,4],[2,4]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,3],[3,4]] => [3,6,1,2,4,5] => [3,1,4,5,6,2] => [3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]]
[[1,1,3,4],[3,3]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,3],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,3,4],[3,4]] => [3,5,1,2,4,6] => [3,1,4,5,2,6] => [3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,1,4,4],[3,3]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,4],[4,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,4,4],[3,4]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,4,4],[4,4]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,2],[2,4]] => [2,6,1,3,4,5] => [1,3,4,5,6,2] => [3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]]
[[1,2,2,2],[3,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,2,3],[2,4]] => [2,6,1,3,4,5] => [1,3,4,5,6,2] => [3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]]
[[1,2,2,4],[2,3]] => [2,5,1,3,4,6] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,2,2,2],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,2,4],[2,4]] => [2,5,1,3,4,6] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,2,2,3],[3,4]] => [4,6,1,2,3,5] => [3,4,1,5,6,2] => [3,4,5,1,6,2] => [[.,[.,[.,.]]],[[.,.],.]]
[[1,2,2,4],[3,3]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3,3],[2,4]] => [2,6,1,3,4,5] => [1,3,4,5,6,2] => [3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]]
[[1,2,3,4],[2,3]] => [2,4,1,3,5,6] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[1,2,2,3],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,2,4],[3,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3,4],[2,4]] => [2,5,1,3,4,6] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,2,4,4],[2,3]] => [2,4,1,3,5,6] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[1,2,2,4],[4,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,4,4],[2,4]] => [2,4,1,3,5,6] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[1,2,3,3],[3,4]] => [3,6,1,2,4,5] => [3,1,4,5,6,2] => [3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]]
[[1,2,3,4],[3,3]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,3,3],[2,4]] => [2,6,1,3,4,5] => [1,3,4,5,6,2] => [3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]]
[[1,2,3,3],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,3,4],[3,4]] => [3,5,1,2,4,6] => [3,1,4,5,2,6] => [3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,2,4,4],[3,3]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,3,4],[2,4]] => [2,5,1,3,4,6] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,2,3,4],[4,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,4,4],[3,4]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,4,4],[2,4]] => [2,4,1,3,5,6] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[1,2,4,4],[4,4]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,3,3],[3,4]] => [2,6,1,3,4,5] => [1,3,4,5,6,2] => [3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]]
[[1,3,3,3],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,3,3,4],[3,4]] => [2,5,1,3,4,6] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,3,3,4],[4,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,3,4,4],[3,4]] => [2,4,1,3,5,6] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[1,3,4,4],[4,4]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,2,2],[3,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,2,2],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,2,3],[3,4]] => [4,6,1,2,3,5] => [3,4,1,5,6,2] => [3,4,5,1,6,2] => [[.,[.,[.,.]]],[[.,.],.]]
[[2,2,2,4],[3,3]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,2,3],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,2,4],[3,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,2,4],[4,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,3,3],[3,4]] => [3,6,1,2,4,5] => [3,1,4,5,6,2] => [3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]]
[[2,2,3,4],[3,3]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,3,3],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,3,4],[3,4]] => [3,5,1,2,4,6] => [3,1,4,5,2,6] => [3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[2,2,4,4],[3,3]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,3,4],[4,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,4,4],[3,4]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,4,4],[4,4]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[2,3,3,3],[3,4]] => [2,6,1,3,4,5] => [1,3,4,5,6,2] => [3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]]
[[2,3,3,3],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[2,3,3,4],[3,4]] => [2,5,1,3,4,6] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[2,3,3,4],[4,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,3,4,4],[3,4]] => [2,4,1,3,5,6] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[2,3,4,4],[4,4]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[3,3,3,3],[4,4]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[3,3,3,4],[4,4]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[3,3,4,4],[4,4]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,1],[2],[4]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.]
[[1,1,1,1],[3],[4]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.]
[[1,1,1,2],[2],[4]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,1,1,2],[3],[4]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.]
[[1,1,1,3],[2],[4]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,1,1,4],[2],[3]] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,1,1,4],[2],[4]] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,1,1,3],[3],[4]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,1,1,4],[3],[4]] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,1,2,2],[2],[4]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,1,2,2],[3],[4]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.]
[[1,1,2,3],[2],[4]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,1,2,4],[2],[3]] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,2,4],[2],[4]] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,2,3],[3],[4]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,1,3,3],[2],[4]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,1,3,4],[2],[3]] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,1,2,4],[3],[4]] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,1,3,4],[2],[4]] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,4,4],[2],[3]] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,1,4,4],[2],[4]] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,1,3,3],[3],[4]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,1,3,4],[3],[4]] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,4,4],[3],[4]] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,2,2,2],[2],[4]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.]
[[1,2,2,2],[3],[4]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.]
[[1,2,2,3],[2],[4]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.]
[[1,2,2,4],[2],[3]] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,2,2,4],[2],[4]] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,2,2,3],[3],[4]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,2,3,3],[2],[4]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.]
[[1,2,3,4],[2],[3]] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,2,2,4],[3],[4]] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,2,3,4],[2],[4]] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,2,4,4],[2],[3]] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4,4],[2],[4]] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3,3],[3],[4]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,3,3,3],[2],[4]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.]
[[1,3,3,4],[2],[3]] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[1,2,3,4],[3],[4]] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,3,3,4],[2],[4]] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,3,4,4],[2],[3]] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[1,2,4,4],[3],[4]] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,3,4,4],[2],[4]] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,4,4,4],[2],[3]] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[1,4,4,4],[2],[4]] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[1,3,3,3],[3],[4]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.]
[[1,3,3,4],[3],[4]] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,3,4,4],[3],[4]] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,4,4,4],[3],[4]] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[2,2,2,2],[3],[4]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.]
[[2,2,2,3],[3],[4]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[2,2,2,4],[3],[4]] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]]
[[2,2,3,3],[3],[4]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[2,2,3,4],[3],[4]] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[2,2,4,4],[3],[4]] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[2,3,3,3],[3],[4]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.]
[[2,3,3,4],[3],[4]] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]]
[[2,3,4,4],[3],[4]] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[2,4,4,4],[3],[4]] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[1,1,1],[2,2,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[2,3,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[2,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[3,3,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[3,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2],[2,2,4]] => [3,4,6,1,2,5] => [1,4,2,5,6,3] => [4,5,1,2,6,3] => [[.,[.,.]],[.,[[.,.],.]]]
[[1,1,2],[2,3,4]] => [3,5,6,1,2,4] => [1,4,5,2,6,3] => [4,5,1,6,2,3] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,1,3],[2,2,4]] => [3,4,6,1,2,5] => [1,4,2,5,6,3] => [4,5,1,2,6,3] => [[.,[.,.]],[.,[[.,.],.]]]
[[1,1,2],[2,4,4]] => [3,5,6,1,2,4] => [1,4,5,2,6,3] => [4,5,1,6,2,3] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,1,2],[3,3,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3],[2,3,4]] => [3,4,6,1,2,5] => [1,4,2,5,6,3] => [4,5,1,2,6,3] => [[.,[.,.]],[.,[[.,.],.]]]
[[1,1,2],[3,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3],[2,4,4]] => [3,5,6,1,2,4] => [1,4,5,2,6,3] => [4,5,1,6,2,3] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,1,2],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3],[3,3,4]] => [3,4,6,1,2,5] => [1,4,2,5,6,3] => [4,5,1,2,6,3] => [[.,[.,.]],[.,[[.,.],.]]]
[[1,1,3],[3,4,4]] => [3,5,6,1,2,4] => [1,4,5,2,6,3] => [4,5,1,6,2,3] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,1,3],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,2],[2,3,4]] => [2,5,6,1,3,4] => [4,5,1,2,6,3] => [4,1,5,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,2,2],[2,4,4]] => [2,5,6,1,3,4] => [4,5,1,2,6,3] => [4,1,5,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,2,2],[3,3,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3],[2,3,4]] => [2,4,6,1,3,5] => [4,1,2,5,6,3] => [4,1,5,2,6,3] => [[.,.],[[.,.],[[.,.],.]]]
[[1,2,2],[3,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3],[2,4,4]] => [2,5,6,1,3,4] => [4,5,1,2,6,3] => [4,1,5,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,2,2],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3],[3,3,4]] => [3,4,6,1,2,5] => [1,4,2,5,6,3] => [4,5,1,2,6,3] => [[.,[.,.]],[.,[[.,.],.]]]
[[1,2,3],[3,4,4]] => [3,5,6,1,2,4] => [1,4,5,2,6,3] => [4,5,1,6,2,3] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,3,3],[2,4,4]] => [2,5,6,1,3,4] => [4,5,1,2,6,3] => [4,1,5,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,2,3],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,3,3],[3,4,4]] => [2,5,6,1,3,4] => [4,5,1,2,6,3] => [4,1,5,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,3,3],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,2],[3,3,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,2],[3,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,2],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,3],[3,3,4]] => [3,4,6,1,2,5] => [1,4,2,5,6,3] => [4,5,1,2,6,3] => [[.,[.,.]],[.,[[.,.],.]]]
[[2,2,3],[3,4,4]] => [3,5,6,1,2,4] => [1,4,5,2,6,3] => [4,5,1,6,2,3] => [[.,[.,.]],[[.,.],[.,.]]]
[[2,2,3],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[2,3,3],[3,4,4]] => [2,5,6,1,3,4] => [4,5,1,2,6,3] => [4,1,5,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]]
[[2,3,3],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[3,3,3],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[2,2],[4]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => [4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,1,1],[2,3],[4]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => [4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,1,1],[2,4],[3]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => [4,5,6,2,1,3] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,1,1],[2,4],[4]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => [4,5,6,2,1,3] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,1,1],[3,3],[4]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => [4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,1,1],[3,4],[4]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => [4,5,6,2,1,3] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,1,2],[2,2],[4]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => [4,5,2,3,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,1,2],[2,3],[4]] => [6,3,5,1,2,4] => [4,2,5,6,3,1] => [4,5,2,6,3,1] => [[[.,[.,.]],[[.,.],.]],.]
[[1,1,2],[2,4],[3]] => [5,3,6,1,2,4] => [4,2,5,1,6,3] => [4,5,2,6,1,3] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,3],[2,2],[4]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => [4,5,2,3,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,1,4],[2,2],[3]] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => [4,5,2,3,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,2],[2,4],[4]] => [5,3,6,1,2,4] => [4,2,5,1,6,3] => [4,5,2,6,1,3] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,4],[2,2],[4]] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => [4,5,2,3,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,2],[3,3],[4]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => [4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,1,3],[2,3],[4]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => [4,5,2,3,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,1,3],[2,4],[3]] => [4,3,6,1,2,5] => [4,2,1,5,6,3] => [4,5,2,1,6,3] => [[[.,[.,.]],.],[[.,.],.]]
[[1,1,4],[2,3],[3]] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => [4,5,2,1,3,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,1,2],[3,4],[4]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => [4,5,6,2,1,3] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,1,3],[2,4],[4]] => [5,3,6,1,2,4] => [4,2,5,1,6,3] => [4,5,2,6,1,3] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,4],[2,3],[4]] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => [4,5,2,3,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,4],[2,4],[3]] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => [4,5,2,1,3,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,1,4],[2,4],[4]] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => [4,5,2,1,3,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,1,3],[3,3],[4]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => [4,5,2,3,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,1,3],[3,4],[4]] => [5,3,6,1,2,4] => [4,2,5,1,6,3] => [4,5,2,6,1,3] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,4],[3,3],[4]] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => [4,5,2,3,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1,4],[3,4],[4]] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => [4,5,2,1,3,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,2,2],[2,3],[4]] => [6,2,5,1,3,4] => [2,4,5,6,3,1] => [4,2,5,6,3,1] => [[[.,.],[[.,[.,.]],.]],.]
[[1,2,2],[2,4],[3]] => [5,2,6,1,3,4] => [2,4,5,1,6,3] => [4,2,5,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,2,2],[2,4],[4]] => [5,2,6,1,3,4] => [2,4,5,1,6,3] => [4,2,5,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,2,2],[3,3],[4]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => [4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,2,3],[2,3],[4]] => [6,2,4,1,3,5] => [2,4,5,3,6,1] => [4,2,5,3,6,1] => [[[.,.],[[.,.],[.,.]]],.]
[[1,2,3],[2,4],[3]] => [4,2,6,1,3,5] => [2,4,1,5,6,3] => [4,2,5,1,6,3] => [[[.,.],[.,.]],[[.,.],.]]
[[1,2,4],[2,3],[3]] => [4,2,5,1,3,6] => [2,4,1,5,3,6] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,2,2],[3,4],[4]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => [4,5,6,2,1,3] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,2,3],[2,4],[4]] => [5,2,6,1,3,4] => [2,4,5,1,6,3] => [4,2,5,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,2,4],[2,3],[4]] => [5,2,4,1,3,6] => [2,4,5,3,1,6] => [4,2,5,3,1,6] => [[[.,.],[[.,.],.]],[.,.]]
[[1,2,4],[2,4],[3]] => [4,2,5,1,3,6] => [2,4,1,5,3,6] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4],[2,4],[4]] => [4,2,5,1,3,6] => [2,4,1,5,3,6] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3],[3,3],[4]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => [4,5,2,3,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,3,3],[2,4],[3]] => [3,2,6,1,4,5] => [2,1,4,5,6,3] => [4,2,1,5,6,3] => [[[.,.],.],[[.,[.,.]],.]]
[[1,2,3],[3,4],[4]] => [5,3,6,1,2,4] => [4,2,5,1,6,3] => [4,5,2,6,1,3] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,2,4],[3,3],[4]] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => [4,5,2,3,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,3,3],[2,4],[4]] => [5,2,6,1,3,4] => [2,4,5,1,6,3] => [4,2,5,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,3,4],[2,4],[3]] => [3,2,5,1,4,6] => [2,1,4,5,3,6] => [4,2,1,5,3,6] => [[[.,.],.],[[.,.],[.,.]]]
[[1,2,4],[3,4],[4]] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => [4,5,2,1,3,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,3,4],[2,4],[4]] => [4,2,5,1,3,6] => [2,4,1,5,3,6] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,3,3],[3,4],[4]] => [5,2,6,1,3,4] => [2,4,5,1,6,3] => [4,2,5,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,3,4],[3,4],[4]] => [4,2,5,1,3,6] => [2,4,1,5,3,6] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[2,2,2],[3,3],[4]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => [4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[2,2,2],[3,4],[4]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => [4,5,6,2,1,3] => [[[.,[.,[.,.]]],.],[.,.]]
[[2,2,3],[3,3],[4]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => [4,5,2,3,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[2,2,3],[3,4],[4]] => [5,3,6,1,2,4] => [4,2,5,1,6,3] => [4,5,2,6,1,3] => [[[.,[.,.]],[.,.]],[.,.]]
[[2,2,4],[3,3],[4]] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => [4,5,2,3,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[2,2,4],[3,4],[4]] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => [4,5,2,1,3,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[2,3,3],[3,4],[4]] => [5,2,6,1,3,4] => [2,4,5,1,6,3] => [4,2,5,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]]
[[2,3,4],[3,4],[4]] => [4,2,5,1,3,6] => [2,4,1,5,3,6] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,1,1],[2],[3],[4]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => [4,5,6,3,2,1] => [[[[.,[.,[.,.]]],.],.],.]
[[1,1,2],[2],[3],[4]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => [4,5,3,6,2,1] => [[[[.,[.,.]],[.,.]],.],.]
[[1,1,3],[2],[3],[4]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => [4,5,3,2,6,1] => [[[[.,[.,.]],.],[.,.]],.]
[[1,1,4],[2],[3],[4]] => [5,4,3,1,2,6] => [4,5,3,2,1,6] => [4,5,3,2,1,6] => [[[[.,[.,.]],.],.],[.,.]]
[[1,2,2],[2],[3],[4]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => [4,3,5,6,2,1] => [[[[.,.],[.,[.,.]]],.],.]
[[1,2,3],[2],[3],[4]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => [4,3,5,2,6,1] => [[[[.,.],[.,.]],[.,.]],.]
[[1,2,4],[2],[3],[4]] => [5,4,2,1,3,6] => [4,3,5,2,1,6] => [4,3,5,2,1,6] => [[[[.,.],[.,.]],.],[.,.]]
[[1,3,3],[2],[3],[4]] => [6,3,2,1,4,5] => [4,3,2,5,6,1] => [4,3,2,5,6,1] => [[[[.,.],.],[.,[.,.]]],.]
[[1,3,4],[2],[3],[4]] => [5,3,2,1,4,6] => [4,3,2,5,1,6] => [4,3,2,5,1,6] => [[[[.,.],.],[.,.]],[.,.]]
[[1,4,4],[2],[3],[4]] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]]
[[1,1],[2,2],[3,4]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1],[2,2],[4,4]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1],[2,3],[3,4]] => [4,6,3,5,1,2] => [1,5,3,6,4,2] => [5,6,3,1,4,2] => [[[.,[.,.]],.],[[.,.],.]]
[[1,1],[2,3],[4,4]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1],[3,3],[4,4]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,2],[2,3],[3,4]] => [4,6,2,5,1,3] => [3,1,5,6,4,2] => [5,3,6,1,4,2] => [[[.,.],[.,.]],[[.,.],.]]
[[1,2],[2,3],[4,4]] => [5,6,2,4,1,3] => [3,5,1,6,4,2] => [5,3,6,4,1,2] => [[[.,.],[[.,.],.]],[.,.]]
[[1,2],[3,3],[4,4]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]]
[[2,2],[3,3],[4,4]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,1],[2,2],[3],[4]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => [5,6,3,4,2,1] => [[[[.,[.,.]],[.,.]],.],.]
[[1,1],[2,3],[3],[4]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => [5,6,3,2,4,1] => [[[[.,[.,.]],.],[.,.]],.]
[[1,1],[2,4],[3],[4]] => [5,4,3,6,1,2] => [5,3,2,1,6,4] => [5,6,3,2,1,4] => [[[[.,[.,.]],.],.],[.,.]]
[[1,2],[2,3],[3],[4]] => [6,4,2,5,1,3] => [3,5,2,6,4,1] => [5,3,6,2,4,1] => [[[[.,.],[.,.]],[.,.]],.]
[[1,2],[2,4],[3],[4]] => [5,4,2,6,1,3] => [3,5,2,1,6,4] => [5,3,6,2,1,4] => [[[[.,.],[.,.]],.],[.,.]]
[[1,3],[2,4],[3],[4]] => [5,3,2,6,1,4] => [3,2,5,1,6,4] => [5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]]
[[1,1,1,1,1,1,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,2,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,2,2,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,2,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,2,2,2,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,2,2,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,2,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,2,2,2,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,2,2,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,2,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,2,2,2,2,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,2,2,2,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,2,2,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,2,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,3,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,2,2,2,2,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,2,2,2,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,2,2,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,2,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,3,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[3,3,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,1],[3]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,1,1,1,1,2],[3]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,1,1,1,1,3],[2]] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,1,1,3],[3]] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,1,2,2],[3]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,1,1,1,2,3],[2]] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,1,2,3],[3]] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,1,3,3],[2]] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,1,3,3],[3]] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,2,2,2],[3]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,1,1,2,2,3],[2]] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2,2,3],[3]] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,2,3,3],[2]] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2,3,3],[3]] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,3,3,3],[2]] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,3,3,3],[3]] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,2,2,2],[3]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,1,2,2,2,3],[2]] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,2,2,2,3],[3]] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,2,2,3,3],[2]] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,2,2,3,3],[3]] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,2,3,3,3],[2]] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,2,3,3,3],[3]] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,3,3,3,3],[2]] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,3,3,3,3],[3]] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,2,2,2,2,2],[3]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,2,2,2,2,3],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,2,3],[3]] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,2,2,2,3,3],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,3,3],[3]] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,2,2,3,3,3],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,3,3,3],[3]] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,3,3,3,3],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,3,3,3],[3]] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,3,3,3,3,3],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,3,3,3,3,3],[3]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,2,2,2],[3]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[2,2,2,2,2,3],[3]] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[2,2,2,2,3,3],[3]] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[2,2,2,3,3,3],[3]] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[2,2,3,3,3,3],[3]] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[2,3,3,3,3,3],[3]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,1],[2,3]] => [6,7,1,2,3,4,5] => [3,4,5,6,1,7,2] => [3,4,5,6,7,1,2] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,1,1],[3,3]] => [6,7,1,2,3,4,5] => [3,4,5,6,1,7,2] => [3,4,5,6,7,1,2] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,1,2],[2,3]] => [5,7,1,2,3,4,6] => [3,4,5,1,6,7,2] => [3,4,5,6,1,7,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[[1,1,1,1,3],[2,2]] => [5,6,1,2,3,4,7] => [3,4,5,1,6,2,7] => [3,4,5,6,1,2,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,1,2],[3,3]] => [6,7,1,2,3,4,5] => [3,4,5,6,1,7,2] => [3,4,5,6,7,1,2] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,1,3],[2,3]] => [5,6,1,2,3,4,7] => [3,4,5,1,6,2,7] => [3,4,5,6,1,2,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,1,3],[3,3]] => [5,6,1,2,3,4,7] => [3,4,5,1,6,2,7] => [3,4,5,6,1,2,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,2,2],[2,3]] => [4,7,1,2,3,5,6] => [3,4,1,5,6,7,2] => [3,4,5,1,6,7,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[[1,1,1,2,3],[2,2]] => [4,5,1,2,3,6,7] => [3,4,1,5,2,6,7] => [3,4,5,1,2,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2,2],[3,3]] => [6,7,1,2,3,4,5] => [3,4,5,6,1,7,2] => [3,4,5,6,7,1,2] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,2,3],[2,3]] => [4,6,1,2,3,5,7] => [3,4,1,5,6,2,7] => [3,4,5,1,6,2,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[1,1,1,3,3],[2,2]] => [4,5,1,2,3,6,7] => [3,4,1,5,2,6,7] => [3,4,5,1,2,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2,3],[3,3]] => [5,6,1,2,3,4,7] => [3,4,5,1,6,2,7] => [3,4,5,6,1,2,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,3,3],[2,3]] => [4,5,1,2,3,6,7] => [3,4,1,5,2,6,7] => [3,4,5,1,2,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,3,3],[3,3]] => [4,5,1,2,3,6,7] => [3,4,1,5,2,6,7] => [3,4,5,1,2,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,2,2],[2,3]] => [3,7,1,2,4,5,6] => [3,1,4,5,6,7,2] => [3,4,1,5,6,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]]
[[1,1,2,2,3],[2,2]] => [3,4,1,2,5,6,7] => [3,1,4,2,5,6,7] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,2,2,2],[3,3]] => [6,7,1,2,3,4,5] => [3,4,5,6,1,7,2] => [3,4,5,6,7,1,2] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,2,2,3],[2,3]] => [3,6,1,2,4,5,7] => [3,1,4,5,6,2,7] => [3,4,1,5,6,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[1,1,2,3,3],[2,2]] => [3,4,1,2,5,6,7] => [3,1,4,2,5,6,7] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,2,2,3],[3,3]] => [5,6,1,2,3,4,7] => [3,4,5,1,6,2,7] => [3,4,5,6,1,2,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,2,3,3],[2,3]] => [3,5,1,2,4,6,7] => [3,1,4,5,2,6,7] => [3,4,1,5,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[1,1,3,3,3],[2,2]] => [3,4,1,2,5,6,7] => [3,1,4,2,5,6,7] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,2,3,3],[3,3]] => [4,5,1,2,3,6,7] => [3,4,1,5,2,6,7] => [3,4,5,1,2,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,3,3,3],[2,3]] => [3,4,1,2,5,6,7] => [3,1,4,2,5,6,7] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,3,3,3],[3,3]] => [3,4,1,2,5,6,7] => [3,1,4,2,5,6,7] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,2,2,2,2],[2,3]] => [2,7,1,3,4,5,6] => [1,3,4,5,6,7,2] => [3,1,4,5,6,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]]
[[1,2,2,2,2],[3,3]] => [6,7,1,2,3,4,5] => [3,4,5,6,1,7,2] => [3,4,5,6,7,1,2] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,2,2,2,3],[2,3]] => [2,6,1,3,4,5,7] => [1,3,4,5,6,2,7] => [3,1,4,5,6,2,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[[1,2,2,2,3],[3,3]] => [5,6,1,2,3,4,7] => [3,4,5,1,6,2,7] => [3,4,5,6,1,2,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,2,2,3,3],[2,3]] => [2,5,1,3,4,6,7] => [1,3,4,5,2,6,7] => [3,1,4,5,2,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[1,2,2,3,3],[3,3]] => [4,5,1,2,3,6,7] => [3,4,1,5,2,6,7] => [3,4,5,1,2,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,3,3,3],[2,3]] => [2,4,1,3,5,6,7] => [1,3,4,2,5,6,7] => [3,1,4,2,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[[1,2,3,3,3],[3,3]] => [3,4,1,2,5,6,7] => [3,1,4,2,5,6,7] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[2,2,2,2,2],[3,3]] => [6,7,1,2,3,4,5] => [3,4,5,6,1,7,2] => [3,4,5,6,7,1,2] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[2,2,2,2,3],[3,3]] => [5,6,1,2,3,4,7] => [3,4,5,1,6,2,7] => [3,4,5,6,1,2,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[2,2,2,3,3],[3,3]] => [4,5,1,2,3,6,7] => [3,4,1,5,2,6,7] => [3,4,5,1,2,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[2,2,3,3,3],[3,3]] => [3,4,1,2,5,6,7] => [3,1,4,2,5,6,7] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,1,1,1],[2],[3]] => [7,6,1,2,3,4,5] => [3,4,5,6,7,2,1] => [3,4,5,6,7,2,1] => [[[.,[.,[.,[.,[.,.]]]]],.],.]
[[1,1,1,1,2],[2],[3]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => [3,4,5,6,2,7,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.]
[[1,1,1,1,3],[2],[3]] => [6,5,1,2,3,4,7] => [3,4,5,6,2,1,7] => [3,4,5,6,2,1,7] => [[[.,[.,[.,[.,.]]]],.],[.,.]]
[[1,1,1,2,2],[2],[3]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => [3,4,5,2,6,7,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.]
[[1,1,1,2,3],[2],[3]] => [6,4,1,2,3,5,7] => [3,4,5,2,6,1,7] => [3,4,5,2,6,1,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,1,1,3,3],[2],[3]] => [5,4,1,2,3,6,7] => [3,4,5,2,1,6,7] => [3,4,5,2,1,6,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]]
[[1,1,2,2,2],[2],[3]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => [3,4,2,5,6,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.]
[[1,1,2,2,3],[2],[3]] => [6,3,1,2,4,5,7] => [3,4,2,5,6,1,7] => [3,4,2,5,6,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,1,2,3,3],[2],[3]] => [5,3,1,2,4,6,7] => [3,4,2,5,1,6,7] => [3,4,2,5,1,6,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,1,3,3,3],[2],[3]] => [4,3,1,2,5,6,7] => [3,4,2,1,5,6,7] => [3,4,2,1,5,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]]
[[1,2,2,2,2],[2],[3]] => [7,2,1,3,4,5,6] => [3,2,4,5,6,7,1] => [3,2,4,5,6,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.]
[[1,2,2,2,3],[2],[3]] => [6,2,1,3,4,5,7] => [3,2,4,5,6,1,7] => [3,2,4,5,6,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]]
[[1,2,2,3,3],[2],[3]] => [5,2,1,3,4,6,7] => [3,2,4,5,1,6,7] => [3,2,4,5,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[[1,2,3,3,3],[2],[3]] => [4,2,1,3,5,6,7] => [3,2,4,1,5,6,7] => [3,2,4,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[[1,3,3,3,3],[2],[3]] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2,2,3]] => [5,6,7,1,2,3,4] => [4,5,1,6,2,7,3] => [4,5,6,7,1,2,3] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,1],[2,3,3]] => [5,6,7,1,2,3,4] => [4,5,1,6,2,7,3] => [4,5,6,7,1,2,3] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,1],[3,3,3]] => [5,6,7,1,2,3,4] => [4,5,1,6,2,7,3] => [4,5,6,7,1,2,3] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,2],[2,2,3]] => [4,5,7,1,2,3,6] => [4,1,5,2,6,7,3] => [4,5,6,1,2,7,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[[1,1,1,3],[2,2,2]] => [4,5,6,1,2,3,7] => [4,1,5,2,6,3,7] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2],[2,3,3]] => [4,6,7,1,2,3,5] => [4,1,5,6,2,7,3] => [4,5,6,1,7,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[[1,1,1,3],[2,2,3]] => [4,5,6,1,2,3,7] => [4,1,5,2,6,3,7] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2],[3,3,3]] => [5,6,7,1,2,3,4] => [4,5,1,6,2,7,3] => [4,5,6,7,1,2,3] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,3],[2,3,3]] => [4,5,6,1,2,3,7] => [4,1,5,2,6,3,7] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,3],[3,3,3]] => [4,5,6,1,2,3,7] => [4,1,5,2,6,3,7] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,2],[2,2,3]] => [3,4,7,1,2,5,6] => [1,4,2,5,6,7,3] => [4,5,1,2,6,7,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[[1,1,2,2],[2,3,3]] => [3,6,7,1,2,4,5] => [1,4,5,6,2,7,3] => [4,5,1,6,7,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[[1,1,2,3],[2,2,3]] => [3,4,6,1,2,5,7] => [1,4,2,5,6,3,7] => [4,5,1,2,6,3,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[[1,1,2,2],[3,3,3]] => [5,6,7,1,2,3,4] => [4,5,1,6,2,7,3] => [4,5,6,7,1,2,3] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,2,3],[2,3,3]] => [3,5,6,1,2,4,7] => [1,4,5,2,6,3,7] => [4,5,1,6,2,3,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[[1,1,2,3],[3,3,3]] => [4,5,6,1,2,3,7] => [4,1,5,2,6,3,7] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,2,2],[2,3,3]] => [2,6,7,1,3,4,5] => [4,5,6,1,2,7,3] => [4,1,5,6,7,2,3] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[[1,2,2,2],[3,3,3]] => [5,6,7,1,2,3,4] => [4,5,1,6,2,7,3] => [4,5,6,7,1,2,3] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,2,2,3],[2,3,3]] => [2,5,6,1,3,4,7] => [4,5,1,2,6,3,7] => [4,1,5,6,2,3,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[[1,2,2,3],[3,3,3]] => [4,5,6,1,2,3,7] => [4,1,5,2,6,3,7] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[2,2,2,2],[3,3,3]] => [5,6,7,1,2,3,4] => [4,5,1,6,2,7,3] => [4,5,6,7,1,2,3] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[2,2,2,3],[3,3,3]] => [4,5,6,1,2,3,7] => [4,1,5,2,6,3,7] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,1],[2,2],[3]] => [7,5,6,1,2,3,4] => [4,5,6,2,7,3,1] => [4,5,6,7,2,3,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.]
[[1,1,1,1],[2,3],[3]] => [6,5,7,1,2,3,4] => [4,5,6,2,1,7,3] => [4,5,6,7,2,1,3] => [[[.,[.,[.,[.,.]]]],.],[.,.]]
[[1,1,1,2],[2,2],[3]] => [7,4,5,1,2,3,6] => [4,5,2,6,3,7,1] => [4,5,6,2,3,7,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.]
[[1,1,1,2],[2,3],[3]] => [6,4,7,1,2,3,5] => [4,5,2,6,1,7,3] => [4,5,6,2,7,1,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,1,1,3],[2,2],[3]] => [6,4,5,1,2,3,7] => [4,5,2,6,3,1,7] => [4,5,6,2,3,1,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,1,1,3],[2,3],[3]] => [5,4,6,1,2,3,7] => [4,5,2,1,6,3,7] => [4,5,6,2,1,3,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]]
[[1,1,2,2],[2,2],[3]] => [7,3,4,1,2,5,6] => [4,2,5,3,6,7,1] => [4,5,2,3,6,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.]
[[1,1,2,2],[2,3],[3]] => [6,3,7,1,2,4,5] => [4,2,5,6,1,7,3] => [4,5,2,6,7,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,1,2,3],[2,2],[3]] => [6,3,4,1,2,5,7] => [4,2,5,3,6,1,7] => [4,5,2,3,6,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,1,2,3],[2,3],[3]] => [5,3,6,1,2,4,7] => [4,2,5,1,6,3,7] => [4,5,2,6,1,3,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,1,3,3],[2,2],[3]] => [5,3,4,1,2,6,7] => [4,2,5,3,1,6,7] => [4,5,2,3,1,6,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,1,3,3],[2,3],[3]] => [4,3,5,1,2,6,7] => [4,2,1,5,3,6,7] => [4,5,2,1,3,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]]
[[1,2,2,2],[2,3],[3]] => [6,2,7,1,3,4,5] => [2,4,5,6,1,7,3] => [4,2,5,6,7,1,3] => [[[.,.],[.,[.,[.,.]]]],[.,.]]
[[1,2,2,3],[2,3],[3]] => [5,2,6,1,3,4,7] => [2,4,5,1,6,3,7] => [4,2,5,6,1,3,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[[1,2,3,3],[2,3],[3]] => [4,2,5,1,3,6,7] => [2,4,1,5,3,6,7] => [4,2,5,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]]
[[1,1,1],[2,2,2],[3]] => [7,4,5,6,1,2,3] => [5,2,6,3,7,4,1] => [5,6,7,2,3,4,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.]
[[1,1,1],[2,2,3],[3]] => [6,4,5,7,1,2,3] => [5,2,6,3,1,7,4] => [5,6,7,2,3,1,4] => [[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,1,1],[2,3,3],[3]] => [5,4,6,7,1,2,3] => [5,2,1,6,3,7,4] => [5,6,7,2,1,3,4] => [[[.,[.,[.,.]]],.],[.,[.,.]]]
[[1,1,2],[2,2,3],[3]] => [6,3,4,7,1,2,5] => [2,5,3,6,1,7,4] => [5,6,2,3,7,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,1,2],[2,3,3],[3]] => [5,3,6,7,1,2,4] => [2,5,1,6,3,7,4] => [5,6,2,7,1,3,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,2,2],[2,3,3],[3]] => [5,2,6,7,1,3,4] => [5,6,2,1,3,7,4] => [5,2,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[2,2],[3,3]] => [6,7,4,5,1,2,3] => [5,6,3,1,7,4,2] => [5,6,7,3,4,1,2] => [[[.,[.,[.,.]]],[.,.]],[.,.]]
[[1,1,2],[2,2],[3,3]] => [6,7,3,4,1,2,5] => [5,3,6,4,1,7,2] => [5,6,3,4,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]]
[[1,1,3],[2,2],[3,3]] => [5,6,3,4,1,2,7] => [5,3,1,6,4,2,7] => [5,6,3,4,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]]
[[1,1,1,1,1,1,1,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,1,1,1,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,1,1,2,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,1,2,2,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,2,2,2,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,2,2,2,2,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,2,2,2,2,2,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[2,2,2,2,2,2,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,1,1,1,1],[2]] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,1] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[1,1,1,1,1,1,2],[2]] => [7,1,2,3,4,5,6,8] => [2,3,4,5,6,7,1,8] => [2,3,4,5,6,7,1,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[1,1,1,1,1,2,2],[2]] => [6,1,2,3,4,5,7,8] => [2,3,4,5,6,1,7,8] => [2,3,4,5,6,1,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,1,1,1,2,2,2],[2]] => [5,1,2,3,4,6,7,8] => [2,3,4,5,1,6,7,8] => [2,3,4,5,1,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,1,1,2,2,2,2],[2]] => [4,1,2,3,5,6,7,8] => [2,3,4,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,1,2,2,2,2,2],[2]] => [3,1,2,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,2,2,2],[2]] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,1],[2,2]] => [7,8,1,2,3,4,5,6] => [3,4,5,6,7,1,8,2] => [3,4,5,6,7,8,1,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[1,1,1,1,1,2],[2,2]] => [6,7,1,2,3,4,5,8] => [3,4,5,6,1,7,2,8] => [3,4,5,6,7,1,2,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,1,1,1,2,2],[2,2]] => [5,6,1,2,3,4,7,8] => [3,4,5,1,6,2,7,8] => [3,4,5,6,1,2,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,1,1,2,2,2],[2,2]] => [4,5,1,2,3,6,7,8] => [3,4,1,5,2,6,7,8] => [3,4,5,1,2,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,1,2,2,2,2],[2,2]] => [3,4,1,2,5,6,7,8] => [3,1,4,2,5,6,7,8] => [3,4,1,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,1],[2,2,2]] => [6,7,8,1,2,3,4,5] => [4,5,6,1,7,2,8,3] => [4,5,6,7,8,1,2,3] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[1,1,1,1,2],[2,2,2]] => [5,6,7,1,2,3,4,8] => [4,5,1,6,2,7,3,8] => [4,5,6,7,1,2,3,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1,1,1,2,2],[2,2,2]] => [4,5,6,1,2,3,7,8] => [4,1,5,2,6,3,7,8] => [4,5,6,1,2,3,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2,2,2,2]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => [5,6,7,8,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1]] => [1] => [1] => [1] => [.,.]
[[1,1,1,1],[2,2,2],[3,3],[4]] => [10,8,9,5,6,7,1,2,3,4] => [7,8,4,9,5,2,10,6,3,1] => [7,8,9,10,4,5,6,2,3,1] => [[[[.,[.,[.,[.,.]]]],[.,[.,.]]],[.,.]],.]
[[2]] => [1] => [1] => [1] => [.,.]
[[1,1]] => [1,2] => [1,2] => [1,2] => [.,[.,.]]
[[3]] => [1] => [1] => [1] => [.,.]
[[1,1,1]] => [1,2,3] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[[4]] => [1] => [1] => [1] => [.,.]
[[1,1,1,1]] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[[5]] => [1] => [1] => [1] => [.,.]
[[1,1,1,1,1]] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[[6]] => [1] => [1] => [1] => [.,.]
[[1,1,1,1,1,1]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4,5,6]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.]
[[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => [3,4,1,5,6,2] => [3,4,5,1,6,2] => [[.,[.,[.,.]]],[[.,.],.]]
[[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => [4,5,6,3,2,1] => [[[[.,[.,[.,.]]],.],.],.]
[[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => [3,1,4,5,6,2] => [3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]]
[[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => [3,1,4,5,2,6] => [3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => [4,2,5,6,3,1] => [4,5,2,6,3,1] => [[[.,[.,.]],[[.,.],.]],.]
[[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => [4,5,3,6,2,1] => [[[[.,[.,.]],[.,.]],.],.]
[[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => [4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.]
[[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => [4,2,1,5,6,3] => [4,5,2,1,6,3] => [[[.,[.,.]],.],[[.,.],.]]
[[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => [4,5,3,2,6,1] => [[[[.,[.,.]],.],[.,.]],.]
[[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => [4,5,6,2,1,3] => [[[.,[.,[.,.]]],.],[.,.]]
[[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => [4,2,5,1,6,3] => [4,5,2,6,1,3] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => [4,5,3,2,1,6] => [4,5,3,2,1,6] => [[[[.,[.,.]],.],.],[.,.]]
[[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => [5,6,4,3,2,1] => [5,6,4,3,2,1] => [[[[[.,[.,.]],.],.],.],.]
[[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => [1,3,4,5,6,2] => [3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]]
[[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => [2,4,5,6,3,1] => [4,2,5,6,3,1] => [[[.,.],[[.,[.,.]],.]],.]
[[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [4,1,2,5,6,3] => [4,1,5,2,6,3] => [[.,.],[[.,.],[[.,.],.]]]
[[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => [2,4,5,3,6,1] => [4,2,5,3,6,1] => [[[.,.],[[.,.],[.,.]]],.]
[[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => [4,5,1,2,6,3] => [4,1,5,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]]
[[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => [2,4,5,3,1,6] => [4,2,5,3,1,6] => [[[.,.],[[.,.],.]],[.,.]]
[[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => [3,5,6,4,2,1] => [5,3,6,4,2,1] => [[[[.,.],[[.,.],.]],.],.]
[[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.]
[[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => [4,3,5,6,2,1] => [[[[.,.],[.,[.,.]]],.],.]
[[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [2,4,1,5,6,3] => [4,2,5,1,6,3] => [[[.,.],[.,.]],[[.,.],.]]
[[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => [4,3,5,2,6,1] => [[[[.,.],[.,.]],[.,.]],.]
[[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [2,4,5,1,6,3] => [4,2,5,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]]
[[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => [4,3,5,2,1,6] => [4,3,5,2,1,6] => [[[[.,.],[.,.]],.],[.,.]]
[[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => [5,4,6,3,2,1] => [[[[[.,.],[.,.]],.],.],.]
[[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => [1,4,2,5,6,3] => [4,5,1,2,6,3] => [[.,[.,.]],[.,[[.,.],.]]]
[[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => [4,5,2,3,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => [1,4,5,2,6,3] => [4,5,1,6,2,3] => [[.,[.,.]],[[.,.],[.,.]]]
[[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => [4,5,2,3,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => [5,6,3,4,2,1] => [[[[.,[.,.]],[.,.]],.],.]
[[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [2,1,4,5,6,3] => [4,2,1,5,6,3] => [[[.,.],.],[[.,[.,.]],.]]
[[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [2,1,4,5,3,6] => [4,2,1,5,3,6] => [[[.,.],.],[[.,.],[.,.]]]
[[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [1,3,5,6,4,2] => [5,3,1,6,4,2] => [[[.,.],.],[[[.,.],.],.]]
[[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [3,2,5,6,4,1] => [5,3,2,6,4,1] => [[[[.,.],.],[[.,.],.]],.]
[[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => [4,3,2,5,6,1] => [4,3,2,5,6,1] => [[[[.,.],.],[.,[.,.]]],.]
[[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => [4,3,2,5,1,6] => [4,3,2,5,1,6] => [[[[.,.],.],[.,.]],[.,.]]
[[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => [5,4,3,6,2,1] => [[[[[.,.],.],[.,.]],.],.]
[[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => [4,5,2,1,3,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => [5,6,3,2,4,1] => [[[[.,[.,.]],.],[.,.]],.]
[[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [2,4,1,5,3,6] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [3,1,5,6,4,2] => [5,3,6,1,4,2] => [[[.,.],[.,.]],[[.,.],.]]
[[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [3,5,2,6,4,1] => [5,3,6,2,4,1] => [[[[.,.],[.,.]],[.,.]],.]
[[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => [1,5,3,6,4,2] => [5,6,3,1,4,2] => [[[.,[.,.]],.],[[.,.],.]]
[[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]]
[[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [3,2,1,5,6,4] => [5,3,2,1,6,4] => [[[[.,.],.],.],[[.,.],.]]
[[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [5,4,3,2,6,1] => [5,4,3,2,6,1] => [[[[[.,.],.],.],[.,.]],.]
[[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => [5,3,2,1,6,4] => [5,6,3,2,1,4] => [[[[.,[.,.]],.],.],[.,.]]
[[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => [3,5,1,6,4,2] => [5,3,6,4,1,2] => [[[.,.],[[.,.],.]],[.,.]]
[[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [3,5,2,1,6,4] => [5,3,6,2,1,4] => [[[[.,.],[.,.]],.],[.,.]]
[[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]]
[[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [3,2,5,1,6,4] => [5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]]
[[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]]
[[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.]
[[1,1,1,1,2,2,2],[3,3],[4]] => [10,8,9,1,2,3,4,5,6,7] => [4,5,6,7,8,9,2,10,3,1] => [4,5,6,7,8,9,10,2,3,1] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]
[[1,1,1,2,2,2,2],[3,3],[4]] => [10,8,9,1,2,3,4,5,6,7] => [4,5,6,7,8,9,2,10,3,1] => [4,5,6,7,8,9,10,2,3,1] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottommost row (in English notation).
Map
Lehmer-code to major-code bijection
Description
Sends a permutation to the unique permutation such that the Lehmer code is sent to the major code.
The Lehmer code encodes the inversions of a permutation and the major code encodes its major index. In particular, the number of inversions of a permutation equals the major index of its image under this map.
* The Lehmer code of a permutation σ is given by L(σ)=l1…ln with li=#{j>i:σj<σi}. In particular, li is the number of boxes in the i-th column of the Rothe diagram. For example, the Lehmer code of σ=[4,3,1,5,2] is 32010. The Lehmer code L:Sn ˜⟶ Sn is a bijection between permutations of size n and sequences l1…ln∈Nn with li≤i.
* The major code M(σ) of a permutation σ∈Sn is a way to encode a permutation as a sequence m1m2…mn with mi≥i. To define mi, let deli(σ) be the normalized permutation obtained by removing all σj<i from the one-line notation of σ. The i-th index is then given by
mi=maj(deli(σ))−maj(deli−1(σ)).
For example, the permutation [9,3,5,7,2,1,4,6,8] has major code [5,0,1,0,1,2,0,1,0] since
maj([8,2,4,6,1,3,5,7])=5,maj([7,1,3,5,2,4,6])=5,maj([6,2,4,1,3,5])=4,
maj([5,1,3,2,4])=4,maj([4,2,1,3])=3,maj([3,1,2])=1,maj([2,1])=1.
Observe that the sum of the major code of σ equals the major index of σ.
The Lehmer code encodes the inversions of a permutation and the major code encodes its major index. In particular, the number of inversions of a permutation equals the major index of its image under this map.
* The Lehmer code of a permutation σ is given by L(σ)=l1…ln with li=#{j>i:σj<σi}. In particular, li is the number of boxes in the i-th column of the Rothe diagram. For example, the Lehmer code of σ=[4,3,1,5,2] is 32010. The Lehmer code L:Sn ˜⟶ Sn is a bijection between permutations of size n and sequences l1…ln∈Nn with li≤i.
* The major code M(σ) of a permutation σ∈Sn is a way to encode a permutation as a sequence m1m2…mn with mi≥i. To define mi, let deli(σ) be the normalized permutation obtained by removing all σj<i from the one-line notation of σ. The i-th index is then given by
mi=maj(deli(σ))−maj(deli−1(σ)).
For example, the permutation [9,3,5,7,2,1,4,6,8] has major code [5,0,1,0,1,2,0,1,0] since
maj([8,2,4,6,1,3,5,7])=5,maj([7,1,3,5,2,4,6])=5,maj([6,2,4,1,3,5])=4,
maj([5,1,3,2,4])=4,maj([4,2,1,3])=3,maj([3,1,2])=1,maj([2,1])=1.
Observe that the sum of the major code of σ equals the major index of σ.
Map
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection ϕ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word w1w2...wn, compute the image inductively by starting with ϕ(w1)=w1.
At the i-th step, if ϕ(w1w2...wi)=v1v2...vi, define ϕ(w1w2...wiwi+1) by placing wi+1 on the end of the word v1v2...vi and breaking the word up into blocks as follows.
To compute ϕ([1,4,2,5,3]), the sequence of words is
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
The Foata bijection ϕ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word w1w2...wn, compute the image inductively by starting with ϕ(w1)=w1.
At the i-th step, if ϕ(w1w2...wi)=v1v2...vi, define ϕ(w1w2...wiwi+1) by placing wi+1 on the end of the word v1v2...vi and breaking the word up into blocks as follows.
- If wi+1≥vi, place a vertical line to the right of each vk for which wi+1≥vk.
- If wi+1<vi, place a vertical line to the right of each vk for which wi+1<vk.
To compute ϕ([1,4,2,5,3]), the sequence of words is
- 1
- |1|4→14
- |14|2→412
- |4|1|2|5→4125
- |4|125|3→45123.
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
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 σ of length n≥1 to a root node with two subtrees L and R by splitting σ at the index σ−1(1), normalizing both sides again to permutations and sending the permutations on the left and on the right of σ−1(1) to the trees L and R, respectively.
This tree is recursively obtained by sending the unique permutation of length 0 to the empty tree, and sending a permutation σ of length n≥1 to a root node with two subtrees L and R by splitting σ at the index σ−1(1), normalizing both sides again to permutations and sending the permutations on the left and on the right of σ−1(1) to the trees L and R, respectively.
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