Identifier
Mp00025:
Dyck paths
—to 132-avoiding permutation⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00238: Permutations —Clarke-Steingrimsson-Zeng⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00064: Permutations —reverse⟶ Permutations
Mp00238: Permutations —Clarke-Steingrimsson-Zeng⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
[1,0] => [1] => [1] => [1] => [.,.]
[1,0,1,0] => [2,1] => [1,2] => [1,2] => [.,[.,.]]
[1,1,0,0] => [1,2] => [2,1] => [2,1] => [[.,.],.]
[1,0,1,0,1,0] => [3,2,1] => [1,2,3] => [1,2,3] => [.,[.,[.,.]]]
[1,0,1,1,0,0] => [2,3,1] => [1,3,2] => [1,3,2] => [.,[[.,.],.]]
[1,1,0,0,1,0] => [3,1,2] => [2,1,3] => [2,1,3] => [[.,.],[.,.]]
[1,1,0,1,0,0] => [2,1,3] => [3,1,2] => [3,1,2] => [[.,[.,.]],.]
[1,1,1,0,0,0] => [1,2,3] => [3,2,1] => [2,3,1] => [[.,.],[.,.]]
[1,0,1,0,1,0,1,0] => [4,3,2,1] => [1,2,3,4] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[1,0,1,0,1,1,0,0] => [3,4,2,1] => [1,2,4,3] => [1,2,4,3] => [.,[.,[[.,.],.]]]
[1,0,1,1,0,0,1,0] => [4,2,3,1] => [1,3,2,4] => [1,3,2,4] => [.,[[.,.],[.,.]]]
[1,0,1,1,0,1,0,0] => [3,2,4,1] => [1,4,2,3] => [1,4,2,3] => [.,[[.,[.,.]],.]]
[1,0,1,1,1,0,0,0] => [2,3,4,1] => [1,4,3,2] => [1,3,4,2] => [.,[[.,.],[.,.]]]
[1,1,0,0,1,0,1,0] => [4,3,1,2] => [2,1,3,4] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[1,1,0,0,1,1,0,0] => [3,4,1,2] => [2,1,4,3] => [2,1,4,3] => [[.,.],[[.,.],.]]
[1,1,0,1,0,0,1,0] => [4,2,1,3] => [3,1,2,4] => [3,1,2,4] => [[.,[.,.]],[.,.]]
[1,1,0,1,0,1,0,0] => [3,2,1,4] => [4,1,2,3] => [4,1,2,3] => [[.,[.,[.,.]]],.]
[1,1,0,1,1,0,0,0] => [2,3,1,4] => [4,1,3,2] => [3,4,1,2] => [[.,[.,.]],[.,.]]
[1,1,1,0,0,0,1,0] => [4,1,2,3] => [3,2,1,4] => [2,3,1,4] => [[.,.],[.,[.,.]]]
[1,1,1,0,0,1,0,0] => [3,1,2,4] => [4,2,1,3] => [2,4,1,3] => [[.,.],[[.,.],.]]
[1,1,1,0,1,0,0,0] => [2,1,3,4] => [4,3,1,2] => [3,1,4,2] => [[.,[.,.]],[.,.]]
[1,1,1,1,0,0,0,0] => [1,2,3,4] => [4,3,2,1] => [2,3,4,1] => [[.,.],[.,[.,.]]]
[1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,1,0,0] => [4,5,3,2,1] => [1,2,3,5,4] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]]
[1,0,1,0,1,1,0,0,1,0] => [5,3,4,2,1] => [1,2,4,3,5] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]]
[1,0,1,0,1,1,0,1,0,0] => [4,3,5,2,1] => [1,2,5,3,4] => [1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]]
[1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => [1,2,5,4,3] => [1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,0,1,0] => [5,4,2,3,1] => [1,3,2,4,5] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]]
[1,0,1,1,0,0,1,1,0,0] => [4,5,2,3,1] => [1,3,2,5,4] => [1,3,2,5,4] => [.,[[.,.],[[.,.],.]]]
[1,0,1,1,0,1,0,0,1,0] => [5,3,2,4,1] => [1,4,2,3,5] => [1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]]
[1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => [1,5,2,3,4] => [1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]]
[1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => [1,5,2,4,3] => [1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]]
[1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => [1,4,3,2,5] => [1,3,4,2,5] => [.,[[.,.],[.,[.,.]]]]
[1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => [1,5,3,2,4] => [1,3,5,2,4] => [.,[[.,.],[[.,.],.]]]
[1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => [1,5,4,2,3] => [1,4,2,5,3] => [.,[[.,[.,.]],[.,.]]]
[1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => [1,5,4,3,2] => [1,3,4,5,2] => [.,[[.,.],[.,[.,.]]]]
[1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2] => [2,1,3,4,5] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[1,1,0,0,1,0,1,1,0,0] => [4,5,3,1,2] => [2,1,3,5,4] => [2,1,3,5,4] => [[.,.],[.,[[.,.],.]]]
[1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2] => [2,1,4,3,5] => [2,1,4,3,5] => [[.,.],[[.,.],[.,.]]]
[1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => [2,1,5,3,4] => [2,1,5,3,4] => [[.,.],[[.,[.,.]],.]]
[1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => [2,1,5,4,3] => [2,1,4,5,3] => [[.,.],[[.,.],[.,.]]]
[1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => [3,1,2,4,5] => [3,1,2,4,5] => [[.,[.,.]],[.,[.,.]]]
[1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => [3,1,2,5,4] => [3,1,2,5,4] => [[.,[.,.]],[[.,.],.]]
[1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => [4,1,2,3,5] => [4,1,2,3,5] => [[.,[.,[.,.]]],[.,.]]
[1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => [5,1,2,3,4] => [5,1,2,3,4] => [[.,[.,[.,[.,.]]]],.]
[1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => [5,1,2,4,3] => [4,1,5,2,3] => [[.,[.,[.,.]]],[.,.]]
[1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => [4,1,3,2,5] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]]
[1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => [5,1,3,2,4] => [3,5,1,2,4] => [[.,[.,.]],[[.,.],.]]
[1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => [5,1,4,2,3] => [4,5,1,2,3] => [[.,[.,[.,.]]],[.,.]]
[1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => [5,1,4,3,2] => [3,4,5,1,2] => [[.,[.,.]],[.,[.,.]]]
[1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => [3,2,1,4,5] => [2,3,1,4,5] => [[.,.],[.,[.,[.,.]]]]
[1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => [3,2,1,5,4] => [2,3,1,5,4] => [[.,.],[.,[[.,.],.]]]
[1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => [4,2,1,3,5] => [2,4,1,3,5] => [[.,.],[[.,.],[.,.]]]
[1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => [5,2,1,3,4] => [2,5,1,3,4] => [[.,.],[[.,[.,.]],.]]
[1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => [5,2,1,4,3] => [2,4,5,1,3] => [[.,.],[[.,.],[.,.]]]
[1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => [4,3,1,2,5] => [3,1,4,2,5] => [[.,[.,.]],[.,[.,.]]]
[1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => [5,3,1,2,4] => [3,1,5,2,4] => [[.,[.,.]],[[.,.],.]]
[1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => [5,4,1,2,3] => [4,1,2,5,3] => [[.,[.,[.,.]]],[.,.]]
[1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => [5,4,1,3,2] => [3,4,1,5,2] => [[.,[.,.]],[.,[.,.]]]
[1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => [4,3,2,1,5] => [2,3,4,1,5] => [[.,.],[.,[.,[.,.]]]]
[1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => [5,3,2,1,4] => [2,3,5,1,4] => [[.,.],[.,[[.,.],.]]]
[1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => [5,4,2,1,3] => [2,4,1,5,3] => [[.,.],[[.,.],[.,.]]]
[1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => [5,4,3,1,2] => [3,1,4,5,2] => [[.,[.,.]],[.,[.,.]]]
[1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => [5,4,3,2,1] => [2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]]
[1,0,1,0,1,0,1,0,1,0,1,0] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0] => [5,6,4,3,2,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0] => [6,4,5,3,2,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0] => [5,4,6,3,2,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]]
[1,0,1,0,1,0,1,1,1,0,0,0] => [4,5,6,3,2,1] => [1,2,3,6,5,4] => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0] => [6,5,3,4,2,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,0,0] => [5,6,3,4,2,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]]
[1,0,1,0,1,1,0,1,0,0,1,0] => [6,4,3,5,2,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]]
[1,0,1,0,1,1,0,1,0,1,0,0] => [5,4,3,6,2,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]]
[1,0,1,0,1,1,0,1,1,0,0,0] => [4,5,3,6,2,1] => [1,2,6,3,5,4] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]]
[1,0,1,0,1,1,1,0,0,0,1,0] => [6,3,4,5,2,1] => [1,2,5,4,3,6] => [1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]]
[1,0,1,0,1,1,1,0,0,1,0,0] => [5,3,4,6,2,1] => [1,2,6,4,3,5] => [1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]]
[1,0,1,0,1,1,1,0,1,0,0,0] => [4,3,5,6,2,1] => [1,2,6,5,3,4] => [1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]]
[1,0,1,0,1,1,1,1,0,0,0,0] => [3,4,5,6,2,1] => [1,2,6,5,4,3] => [1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0] => [6,5,4,2,3,1] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]]
[1,0,1,1,0,0,1,0,1,1,0,0] => [5,6,4,2,3,1] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]]
[1,0,1,1,0,0,1,1,0,0,1,0] => [6,4,5,2,3,1] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]]
[1,0,1,1,0,0,1,1,0,1,0,0] => [5,4,6,2,3,1] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]]
[1,0,1,1,0,0,1,1,1,0,0,0] => [4,5,6,2,3,1] => [1,3,2,6,5,4] => [1,3,2,5,6,4] => [.,[[.,.],[[.,.],[.,.]]]]
[1,0,1,1,0,1,0,0,1,0,1,0] => [6,5,3,2,4,1] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,0,0] => [5,6,3,2,4,1] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]]
[1,0,1,1,0,1,0,1,0,0,1,0] => [6,4,3,2,5,1] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,6,1] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]]
[1,0,1,1,0,1,0,1,1,0,0,0] => [4,5,3,2,6,1] => [1,6,2,3,5,4] => [1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]]
[1,0,1,1,0,1,1,0,0,0,1,0] => [6,3,4,2,5,1] => [1,5,2,4,3,6] => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]]
[1,0,1,1,0,1,1,0,0,1,0,0] => [5,3,4,2,6,1] => [1,6,2,4,3,5] => [1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]]
[1,0,1,1,0,1,1,0,1,0,0,0] => [4,3,5,2,6,1] => [1,6,2,5,3,4] => [1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]]
[1,0,1,1,0,1,1,1,0,0,0,0] => [3,4,5,2,6,1] => [1,6,2,5,4,3] => [1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]]
[1,0,1,1,1,0,0,0,1,0,1,0] => [6,5,2,3,4,1] => [1,4,3,2,5,6] => [1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]]
[1,0,1,1,1,0,0,0,1,1,0,0] => [5,6,2,3,4,1] => [1,4,3,2,6,5] => [1,3,4,2,6,5] => [.,[[.,.],[.,[[.,.],.]]]]
[1,0,1,1,1,0,0,1,0,0,1,0] => [6,4,2,3,5,1] => [1,5,3,2,4,6] => [1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]]
[1,0,1,1,1,0,0,1,0,1,0,0] => [5,4,2,3,6,1] => [1,6,3,2,4,5] => [1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]]
[1,0,1,1,1,0,0,1,1,0,0,0] => [4,5,2,3,6,1] => [1,6,3,2,5,4] => [1,3,5,6,2,4] => [.,[[.,.],[[.,.],[.,.]]]]
[1,0,1,1,1,0,1,0,0,0,1,0] => [6,3,2,4,5,1] => [1,5,4,2,3,6] => [1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]]
[1,0,1,1,1,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => [1,6,4,2,3,5] => [1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]]
[1,0,1,1,1,0,1,0,1,0,0,0] => [4,3,2,5,6,1] => [1,6,5,2,3,4] => [1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]]
[1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => [1,6,5,2,4,3] => [1,4,5,2,6,3] => [.,[[.,[.,.]],[.,[.,.]]]]
>>> Load all 1854 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [6,2,3,4,5,1] => [1,5,4,3,2,6] => [1,3,4,5,2,6] => [.,[[.,.],[.,[.,[.,.]]]]]
[1,0,1,1,1,1,0,0,0,1,0,0] => [5,2,3,4,6,1] => [1,6,4,3,2,5] => [1,3,4,6,2,5] => [.,[[.,.],[.,[[.,.],.]]]]
[1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => [1,6,5,3,2,4] => [1,3,5,2,6,4] => [.,[[.,.],[[.,.],[.,.]]]]
[1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => [1,6,5,4,2,3] => [1,4,2,5,6,3] => [.,[[.,[.,.]],[.,[.,.]]]]
[1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => [1,6,5,4,3,2] => [1,3,4,5,6,2] => [.,[[.,.],[.,[.,[.,.]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0] => [6,5,4,3,1,2] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[1,1,0,0,1,0,1,0,1,1,0,0] => [5,6,4,3,1,2] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,0,1,0] => [6,4,5,3,1,2] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]]
[1,1,0,0,1,0,1,1,0,1,0,0] => [5,4,6,3,1,2] => [2,1,3,6,4,5] => [2,1,3,6,4,5] => [[.,.],[.,[[.,[.,.]],.]]]
[1,1,0,0,1,0,1,1,1,0,0,0] => [4,5,6,3,1,2] => [2,1,3,6,5,4] => [2,1,3,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]]
[1,1,0,0,1,1,0,0,1,0,1,0] => [6,5,3,4,1,2] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[1,1,0,0,1,1,0,0,1,1,0,0] => [5,6,3,4,1,2] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,0,1,0] => [6,4,3,5,1,2] => [2,1,5,3,4,6] => [2,1,5,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]]
[1,1,0,0,1,1,0,1,0,1,0,0] => [5,4,3,6,1,2] => [2,1,6,3,4,5] => [2,1,6,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]]
[1,1,0,0,1,1,0,1,1,0,0,0] => [4,5,3,6,1,2] => [2,1,6,3,5,4] => [2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]]
[1,1,0,0,1,1,1,0,0,0,1,0] => [6,3,4,5,1,2] => [2,1,5,4,3,6] => [2,1,4,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]]
[1,1,0,0,1,1,1,0,0,1,0,0] => [5,3,4,6,1,2] => [2,1,6,4,3,5] => [2,1,4,6,3,5] => [[.,.],[[.,.],[[.,.],.]]]
[1,1,0,0,1,1,1,0,1,0,0,0] => [4,3,5,6,1,2] => [2,1,6,5,3,4] => [2,1,5,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]]
[1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,5,6,1,2] => [2,1,6,5,4,3] => [2,1,4,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,0,1,0,1,0,1,0] => [6,5,4,2,1,3] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[1,1,0,1,0,0,1,0,1,1,0,0] => [5,6,4,2,1,3] => [3,1,2,4,6,5] => [3,1,2,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]]
[1,1,0,1,0,0,1,1,0,0,1,0] => [6,4,5,2,1,3] => [3,1,2,5,4,6] => [3,1,2,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,0,0] => [5,4,6,2,1,3] => [3,1,2,6,4,5] => [3,1,2,6,4,5] => [[.,[.,.]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,1,1,0,0,0] => [4,5,6,2,1,3] => [3,1,2,6,5,4] => [3,1,2,5,6,4] => [[.,[.,.]],[[.,.],[.,.]]]
[1,1,0,1,0,1,0,0,1,0,1,0] => [6,5,3,2,1,4] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[1,1,0,1,0,1,0,0,1,1,0,0] => [5,6,3,2,1,4] => [4,1,2,3,6,5] => [4,1,2,3,6,5] => [[.,[.,[.,.]]],[[.,.],.]]
[1,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1,5] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,6] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],.]
[1,1,0,1,0,1,0,1,1,0,0,0] => [4,5,3,2,1,6] => [6,1,2,3,5,4] => [5,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[.,.]]
[1,1,0,1,0,1,1,0,0,0,1,0] => [6,3,4,2,1,5] => [5,1,2,4,3,6] => [4,1,5,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[1,1,0,1,0,1,1,0,0,1,0,0] => [5,3,4,2,1,6] => [6,1,2,4,3,5] => [4,1,6,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]]
[1,1,0,1,0,1,1,0,1,0,0,0] => [4,3,5,2,1,6] => [6,1,2,5,3,4] => [5,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]]
[1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,2,1,6] => [6,1,2,5,4,3] => [4,1,5,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[1,1,0,1,1,0,0,0,1,0,1,0] => [6,5,2,3,1,4] => [4,1,3,2,5,6] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[1,1,0,1,1,0,0,0,1,1,0,0] => [5,6,2,3,1,4] => [4,1,3,2,6,5] => [3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]]
[1,1,0,1,1,0,0,1,0,0,1,0] => [6,4,2,3,1,5] => [5,1,3,2,4,6] => [3,5,1,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]]
[1,1,0,1,1,0,0,1,0,1,0,0] => [5,4,2,3,1,6] => [6,1,3,2,4,5] => [3,6,1,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]]
[1,1,0,1,1,0,0,1,1,0,0,0] => [4,5,2,3,1,6] => [6,1,3,2,5,4] => [3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]]
[1,1,0,1,1,0,1,0,0,0,1,0] => [6,3,2,4,1,5] => [5,1,4,2,3,6] => [4,5,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[1,1,0,1,1,0,1,0,0,1,0,0] => [5,3,2,4,1,6] => [6,1,4,2,3,5] => [4,6,1,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]]
[1,1,0,1,1,0,1,0,1,0,0,0] => [4,3,2,5,1,6] => [6,1,5,2,3,4] => [5,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]]
[1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,2,5,1,6] => [6,1,5,2,4,3] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[1,1,0,1,1,1,0,0,0,0,1,0] => [6,2,3,4,1,5] => [5,1,4,3,2,6] => [3,4,5,1,2,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[1,1,0,1,1,1,0,0,0,1,0,0] => [5,2,3,4,1,6] => [6,1,4,3,2,5] => [3,4,6,1,2,5] => [[.,[.,.]],[.,[[.,.],.]]]
[1,1,0,1,1,1,0,0,1,0,0,0] => [4,2,3,5,1,6] => [6,1,5,3,2,4] => [3,5,6,1,2,4] => [[.,[.,.]],[[.,.],[.,.]]]
[1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,5,1,6] => [6,1,5,4,2,3] => [4,5,1,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6] => [6,1,5,4,3,2] => [3,4,5,6,1,2] => [[.,[.,.]],[.,[.,[.,.]]]]
[1,1,1,0,0,0,1,0,1,0,1,0] => [6,5,4,1,2,3] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[1,1,1,0,0,0,1,0,1,1,0,0] => [5,6,4,1,2,3] => [3,2,1,4,6,5] => [2,3,1,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]]
[1,1,1,0,0,0,1,1,0,0,1,0] => [6,4,5,1,2,3] => [3,2,1,5,4,6] => [2,3,1,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]]
[1,1,1,0,0,0,1,1,0,1,0,0] => [5,4,6,1,2,3] => [3,2,1,6,4,5] => [2,3,1,6,4,5] => [[.,.],[.,[[.,[.,.]],.]]]
[1,1,1,0,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]]
[1,1,1,0,0,1,0,0,1,0,1,0] => [6,5,3,1,2,4] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[1,1,1,0,0,1,0,0,1,1,0,0] => [5,6,3,1,2,4] => [4,2,1,3,6,5] => [2,4,1,3,6,5] => [[.,.],[[.,.],[[.,.],.]]]
[1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]]
[1,1,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1,2,6] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]]
[1,1,1,0,0,1,0,1,1,0,0,0] => [4,5,3,1,2,6] => [6,2,1,3,5,4] => [2,5,1,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]]
[1,1,1,0,0,1,1,0,0,0,1,0] => [6,3,4,1,2,5] => [5,2,1,4,3,6] => [2,4,5,1,3,6] => [[.,.],[[.,.],[.,[.,.]]]]
[1,1,1,0,0,1,1,0,0,1,0,0] => [5,3,4,1,2,6] => [6,2,1,4,3,5] => [2,4,6,1,3,5] => [[.,.],[[.,.],[[.,.],.]]]
[1,1,1,0,0,1,1,0,1,0,0,0] => [4,3,5,1,2,6] => [6,2,1,5,3,4] => [2,5,6,1,3,4] => [[.,.],[[.,[.,.]],[.,.]]]
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6] => [6,2,1,5,4,3] => [2,4,5,6,1,3] => [[.,.],[[.,.],[.,[.,.]]]]
[1,1,1,0,1,0,0,0,1,0,1,0] => [6,5,2,1,3,4] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[1,1,1,0,1,0,0,0,1,1,0,0] => [5,6,2,1,3,4] => [4,3,1,2,6,5] => [3,1,4,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]]
[1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]]
[1,1,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1,3,6] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]]
[1,1,1,0,1,0,0,1,1,0,0,0] => [4,5,2,1,3,6] => [6,3,1,2,5,4] => [3,1,5,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]]
[1,1,1,0,1,0,1,0,0,0,1,0] => [6,3,2,1,4,5] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[1,1,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1,4,6] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => [[.,[.,[.,.]]],[[.,.],.]]
[1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,5,6] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[.,.]]
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,2,1,5,6] => [6,5,1,2,4,3] => [4,1,5,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => [5,4,1,3,2,6] => [3,4,1,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,3,1,4,6] => [6,4,1,3,2,5] => [3,4,1,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]]
[1,1,1,0,1,1,0,0,1,0,0,0] => [4,2,3,1,5,6] => [6,5,1,3,2,4] => [3,5,1,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]]
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,4,1,5,6] => [6,5,1,4,2,3] => [4,5,1,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6] => [6,5,1,4,3,2] => [3,4,5,1,6,2] => [[.,[.,.]],[.,[.,[.,.]]]]
[1,1,1,1,0,0,0,0,1,0,1,0] => [6,5,1,2,3,4] => [4,3,2,1,5,6] => [2,3,4,1,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[1,1,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4] => [4,3,2,1,6,5] => [2,3,4,1,6,5] => [[.,.],[.,[.,[[.,.],.]]]]
[1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5] => [5,3,2,1,4,6] => [2,3,5,1,4,6] => [[.,.],[.,[[.,.],[.,.]]]]
[1,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,2,3,6] => [6,3,2,1,4,5] => [2,3,6,1,4,5] => [[.,.],[.,[[.,[.,.]],.]]]
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,3,6] => [6,3,2,1,5,4] => [2,3,5,6,1,4] => [[.,.],[.,[[.,.],[.,.]]]]
[1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => [5,4,2,1,3,6] => [2,4,1,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]]
[1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,2,4,6] => [6,4,2,1,3,5] => [2,4,1,6,3,5] => [[.,.],[[.,.],[[.,.],.]]]
[1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,2,5,6] => [6,5,2,1,3,4] => [2,5,1,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]]
[1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6] => [6,5,2,1,4,3] => [2,4,5,1,6,3] => [[.,.],[[.,.],[.,[.,.]]]]
[1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => [5,4,3,1,2,6] => [3,1,4,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[1,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,3,4,6] => [6,4,3,1,2,5] => [3,1,4,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]]
[1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,5,6] => [6,5,3,1,2,4] => [3,1,5,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]]
[1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6] => [6,5,4,1,2,3] => [4,1,2,5,6,3] => [[.,[.,[.,.]]],[.,[.,.]]]
[1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => [6,5,4,1,3,2] => [3,4,1,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]]
[1,1,1,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5] => [5,4,3,2,1,6] => [2,3,4,5,1,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,4,6] => [6,4,3,2,1,5] => [2,3,4,6,1,5] => [[.,.],[.,[.,[[.,.],.]]]]
[1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6] => [6,5,3,2,1,4] => [2,3,5,1,6,4] => [[.,.],[.,[[.,.],[.,.]]]]
[1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => [6,5,4,2,1,3] => [2,4,1,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]]
[1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => [6,5,4,3,1,2] => [3,1,4,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [6,7,5,4,3,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [7,5,6,4,3,2,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [.,[.,[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [6,5,7,4,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => [.,[.,[.,[.,[[.,[.,.]],.]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [5,6,7,4,3,2,1] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [7,6,4,5,3,2,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [6,7,4,5,3,2,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [.,[.,[.,[[.,.],[[.,.],.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [7,5,4,6,3,2,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => [.,[.,[.,[[.,[.,.]],[.,.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [6,5,4,7,3,2,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => [.,[.,[.,[[.,[.,[.,.]]],.]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [5,6,4,7,3,2,1] => [1,2,3,7,4,6,5] => [1,2,3,6,7,4,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [7,4,5,6,3,2,1] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [6,4,5,7,3,2,1] => [1,2,3,7,5,4,6] => [1,2,3,5,7,4,6] => [.,[.,[.,[[.,.],[[.,.],.]]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [5,4,6,7,3,2,1] => [1,2,3,7,6,4,5] => [1,2,3,6,4,7,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => [1,2,3,5,6,7,4] => [.,[.,[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [7,6,5,3,4,2,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [6,7,5,3,4,2,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [7,5,6,3,4,2,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [6,5,7,3,4,2,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => [.,[.,[[.,.],[[.,[.,.]],.]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [5,6,7,3,4,2,1] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [7,6,4,3,5,2,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [6,7,4,3,5,2,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => [.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [7,5,4,3,6,2,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => [.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [6,5,4,3,7,2,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => [.,[.,[[.,[.,[.,[.,.]]]],.]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [5,6,4,3,7,2,1] => [1,2,7,3,4,6,5] => [1,2,6,3,7,4,5] => [.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [7,4,5,3,6,2,1] => [1,2,6,3,5,4,7] => [1,2,5,6,3,4,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [6,4,5,3,7,2,1] => [1,2,7,3,5,4,6] => [1,2,5,7,3,4,6] => [.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [5,4,6,3,7,2,1] => [1,2,7,3,6,4,5] => [1,2,6,7,3,4,5] => [.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [4,5,6,3,7,2,1] => [1,2,7,3,6,5,4] => [1,2,5,6,7,3,4] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [7,6,3,4,5,2,1] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [6,7,3,4,5,2,1] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [7,5,3,4,6,2,1] => [1,2,6,4,3,5,7] => [1,2,4,6,3,5,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [6,5,3,4,7,2,1] => [1,2,7,4,3,5,6] => [1,2,4,7,3,5,6] => [.,[.,[[.,.],[[.,[.,.]],.]]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [5,6,3,4,7,2,1] => [1,2,7,4,3,6,5] => [1,2,4,6,7,3,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [7,4,3,5,6,2,1] => [1,2,6,5,3,4,7] => [1,2,5,3,6,4,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [6,4,3,5,7,2,1] => [1,2,7,5,3,4,6] => [1,2,5,3,7,4,6] => [.,[.,[[.,[.,.]],[[.,.],.]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [5,4,3,6,7,2,1] => [1,2,7,6,3,4,5] => [1,2,6,3,4,7,5] => [.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [4,5,3,6,7,2,1] => [1,2,7,6,3,5,4] => [1,2,5,6,3,7,4] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [7,3,4,5,6,2,1] => [1,2,6,5,4,3,7] => [1,2,4,5,6,3,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [6,3,4,5,7,2,1] => [1,2,7,5,4,3,6] => [1,2,4,5,7,3,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [5,3,4,6,7,2,1] => [1,2,7,6,4,3,5] => [1,2,4,6,3,7,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [4,3,5,6,7,2,1] => [1,2,7,6,5,3,4] => [1,2,5,3,6,7,4] => [.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,4,5,6,7,2,1] => [1,2,7,6,5,4,3] => [1,2,4,5,6,7,3] => [.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [7,6,5,4,2,3,1] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [6,7,5,4,2,3,1] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [7,5,6,4,2,3,1] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [6,5,7,4,2,3,1] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => [.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [5,6,7,4,2,3,1] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [7,6,4,5,2,3,1] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [6,7,4,5,2,3,1] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [7,5,4,6,2,3,1] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [6,5,4,7,2,3,1] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => [.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [5,6,4,7,2,3,1] => [1,3,2,7,4,6,5] => [1,3,2,6,7,4,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [7,4,5,6,2,3,1] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [6,4,5,7,2,3,1] => [1,3,2,7,5,4,6] => [1,3,2,5,7,4,6] => [.,[[.,.],[[.,.],[[.,.],.]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [5,4,6,7,2,3,1] => [1,3,2,7,6,4,5] => [1,3,2,6,4,7,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,2,3,1] => [1,3,2,7,6,5,4] => [1,3,2,5,6,7,4] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [7,6,5,3,2,4,1] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [6,7,5,3,2,4,1] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [7,5,6,3,2,4,1] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [6,5,7,3,2,4,1] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => [.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [5,6,7,3,2,4,1] => [1,4,2,3,7,6,5] => [1,4,2,3,6,7,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [7,6,4,3,2,5,1] => [1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [6,7,4,3,2,5,1] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => [.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [7,5,4,3,2,6,1] => [1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => [.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [6,5,4,3,2,7,1] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => [.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [5,6,4,3,2,7,1] => [1,7,2,3,4,6,5] => [1,6,2,3,7,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [7,4,5,3,2,6,1] => [1,6,2,3,5,4,7] => [1,5,2,6,3,4,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [6,4,5,3,2,7,1] => [1,7,2,3,5,4,6] => [1,5,2,7,3,4,6] => [.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [5,4,6,3,2,7,1] => [1,7,2,3,6,4,5] => [1,6,2,7,3,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [4,5,6,3,2,7,1] => [1,7,2,3,6,5,4] => [1,5,2,6,7,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [7,6,3,4,2,5,1] => [1,5,2,4,3,6,7] => [1,4,5,2,3,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [6,7,3,4,2,5,1] => [1,5,2,4,3,7,6] => [1,4,5,2,3,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [7,5,3,4,2,6,1] => [1,6,2,4,3,5,7] => [1,4,6,2,3,5,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [6,5,3,4,2,7,1] => [1,7,2,4,3,5,6] => [1,4,7,2,3,5,6] => [.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [5,6,3,4,2,7,1] => [1,7,2,4,3,6,5] => [1,4,6,2,7,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [7,4,3,5,2,6,1] => [1,6,2,5,3,4,7] => [1,5,6,2,3,4,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [6,4,3,5,2,7,1] => [1,7,2,5,3,4,6] => [1,5,7,2,3,4,6] => [.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [5,4,3,6,2,7,1] => [1,7,2,6,3,4,5] => [1,6,7,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [4,5,3,6,2,7,1] => [1,7,2,6,3,5,4] => [1,5,6,7,2,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [7,3,4,5,2,6,1] => [1,6,2,5,4,3,7] => [1,4,5,6,2,3,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [6,3,4,5,2,7,1] => [1,7,2,5,4,3,6] => [1,4,5,7,2,3,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [5,3,4,6,2,7,1] => [1,7,2,6,4,3,5] => [1,4,6,7,2,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [4,3,5,6,2,7,1] => [1,7,2,6,5,3,4] => [1,5,6,2,7,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [3,4,5,6,2,7,1] => [1,7,2,6,5,4,3] => [1,4,5,6,7,2,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [7,6,5,2,3,4,1] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [6,7,5,2,3,4,1] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [7,5,6,2,3,4,1] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [6,5,7,2,3,4,1] => [1,4,3,2,7,5,6] => [1,3,4,2,7,5,6] => [.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [5,6,7,2,3,4,1] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [7,6,4,2,3,5,1] => [1,5,3,2,4,6,7] => [1,3,5,2,4,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [6,7,4,2,3,5,1] => [1,5,3,2,4,7,6] => [1,3,5,2,4,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [7,5,4,2,3,6,1] => [1,6,3,2,4,5,7] => [1,3,6,2,4,5,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [6,5,4,2,3,7,1] => [1,7,3,2,4,5,6] => [1,3,7,2,4,5,6] => [.,[[.,.],[[.,[.,[.,.]]],.]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [5,6,4,2,3,7,1] => [1,7,3,2,4,6,5] => [1,3,6,2,7,4,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [7,4,5,2,3,6,1] => [1,6,3,2,5,4,7] => [1,3,5,6,2,4,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [6,4,5,2,3,7,1] => [1,7,3,2,5,4,6] => [1,3,5,7,2,4,6] => [.,[[.,.],[[.,.],[[.,.],.]]]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [5,4,6,2,3,7,1] => [1,7,3,2,6,4,5] => [1,3,6,7,2,4,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [4,5,6,2,3,7,1] => [1,7,3,2,6,5,4] => [1,3,5,6,7,2,4] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [7,6,3,2,4,5,1] => [1,5,4,2,3,6,7] => [1,4,2,5,3,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [6,7,3,2,4,5,1] => [1,5,4,2,3,7,6] => [1,4,2,5,3,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [7,5,3,2,4,6,1] => [1,6,4,2,3,5,7] => [1,4,2,6,3,5,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [6,5,3,2,4,7,1] => [1,7,4,2,3,5,6] => [1,4,2,7,3,5,6] => [.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [5,6,3,2,4,7,1] => [1,7,4,2,3,6,5] => [1,4,2,6,7,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [7,4,3,2,5,6,1] => [1,6,5,2,3,4,7] => [1,5,2,3,6,4,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [6,4,3,2,5,7,1] => [1,7,5,2,3,4,6] => [1,5,2,3,7,4,6] => [.,[[.,[.,[.,.]]],[[.,.],.]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2,6,7,1] => [1,7,6,2,3,4,5] => [1,6,2,3,4,7,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,3,2,6,7,1] => [1,7,6,2,3,5,4] => [1,5,2,6,3,7,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [7,3,4,2,5,6,1] => [1,6,5,2,4,3,7] => [1,4,5,2,6,3,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [6,3,4,2,5,7,1] => [1,7,5,2,4,3,6] => [1,4,5,2,7,3,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [5,3,4,2,6,7,1] => [1,7,6,2,4,3,5] => [1,4,6,2,3,7,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [4,3,5,2,6,7,1] => [1,7,6,2,5,3,4] => [1,5,6,2,3,7,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,4,5,2,6,7,1] => [1,7,6,2,5,4,3] => [1,4,5,6,2,7,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [7,6,2,3,4,5,1] => [1,5,4,3,2,6,7] => [1,3,4,5,2,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [6,7,2,3,4,5,1] => [1,5,4,3,2,7,6] => [1,3,4,5,2,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [7,5,2,3,4,6,1] => [1,6,4,3,2,5,7] => [1,3,4,6,2,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [6,5,2,3,4,7,1] => [1,7,4,3,2,5,6] => [1,3,4,7,2,5,6] => [.,[[.,.],[.,[[.,[.,.]],.]]]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [5,6,2,3,4,7,1] => [1,7,4,3,2,6,5] => [1,3,4,6,7,2,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [7,4,2,3,5,6,1] => [1,6,5,3,2,4,7] => [1,3,5,2,6,4,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [6,4,2,3,5,7,1] => [1,7,5,3,2,4,6] => [1,3,5,2,7,4,6] => [.,[[.,.],[[.,.],[[.,.],.]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [5,4,2,3,6,7,1] => [1,7,6,3,2,4,5] => [1,3,6,2,4,7,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [4,5,2,3,6,7,1] => [1,7,6,3,2,5,4] => [1,3,5,6,2,7,4] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [7,3,2,4,5,6,1] => [1,6,5,4,2,3,7] => [1,4,2,5,6,3,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [6,3,2,4,5,7,1] => [1,7,5,4,2,3,6] => [1,4,2,5,7,3,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [5,3,2,4,6,7,1] => [1,7,6,4,2,3,5] => [1,4,2,6,3,7,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [4,3,2,5,6,7,1] => [1,7,6,5,2,3,4] => [1,5,2,3,6,7,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [3,4,2,5,6,7,1] => [1,7,6,5,2,4,3] => [1,4,5,2,6,7,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [7,2,3,4,5,6,1] => [1,6,5,4,3,2,7] => [1,3,4,5,6,2,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [6,2,3,4,5,7,1] => [1,7,5,4,3,2,6] => [1,3,4,5,7,2,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [5,2,3,4,6,7,1] => [1,7,6,4,3,2,5] => [1,3,4,6,2,7,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [4,2,3,5,6,7,1] => [1,7,6,5,3,2,4] => [1,3,5,2,6,7,4] => [.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,7,1] => [1,7,6,5,4,2,3] => [1,4,2,5,6,7,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1] => [1,7,6,5,4,3,2] => [1,3,4,5,6,7,2] => [.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [7,6,5,4,3,1,2] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [6,7,5,4,3,1,2] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [7,5,6,4,3,1,2] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [6,5,7,4,3,1,2] => [2,1,3,4,7,5,6] => [2,1,3,4,7,5,6] => [[.,.],[.,[.,[[.,[.,.]],.]]]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [5,6,7,4,3,1,2] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [7,6,4,5,3,1,2] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [6,7,4,5,3,1,2] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [7,5,4,6,3,1,2] => [2,1,3,6,4,5,7] => [2,1,3,6,4,5,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [6,5,4,7,3,1,2] => [2,1,3,7,4,5,6] => [2,1,3,7,4,5,6] => [[.,.],[.,[[.,[.,[.,.]]],.]]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [5,6,4,7,3,1,2] => [2,1,3,7,4,6,5] => [2,1,3,6,7,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [7,4,5,6,3,1,2] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [6,4,5,7,3,1,2] => [2,1,3,7,5,4,6] => [2,1,3,5,7,4,6] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [5,4,6,7,3,1,2] => [2,1,3,7,6,4,5] => [2,1,3,6,4,7,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [4,5,6,7,3,1,2] => [2,1,3,7,6,5,4] => [2,1,3,5,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [7,6,5,3,4,1,2] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [6,7,5,3,4,1,2] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [7,5,6,3,4,1,2] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [6,5,7,3,4,1,2] => [2,1,4,3,7,5,6] => [2,1,4,3,7,5,6] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [5,6,7,3,4,1,2] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [7,6,4,3,5,1,2] => [2,1,5,3,4,6,7] => [2,1,5,3,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [6,7,4,3,5,1,2] => [2,1,5,3,4,7,6] => [2,1,5,3,4,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [7,5,4,3,6,1,2] => [2,1,6,3,4,5,7] => [2,1,6,3,4,5,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [6,5,4,3,7,1,2] => [2,1,7,3,4,5,6] => [2,1,7,3,4,5,6] => [[.,.],[[.,[.,[.,[.,.]]]],.]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [5,6,4,3,7,1,2] => [2,1,7,3,4,6,5] => [2,1,6,3,7,4,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,5,3,6,1,2] => [2,1,6,3,5,4,7] => [2,1,5,6,3,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [6,4,5,3,7,1,2] => [2,1,7,3,5,4,6] => [2,1,5,7,3,4,6] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [5,4,6,3,7,1,2] => [2,1,7,3,6,4,5] => [2,1,6,7,3,4,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [4,5,6,3,7,1,2] => [2,1,7,3,6,5,4] => [2,1,5,6,7,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [7,6,3,4,5,1,2] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [6,7,3,4,5,1,2] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [7,5,3,4,6,1,2] => [2,1,6,4,3,5,7] => [2,1,4,6,3,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [6,5,3,4,7,1,2] => [2,1,7,4,3,5,6] => [2,1,4,7,3,5,6] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [5,6,3,4,7,1,2] => [2,1,7,4,3,6,5] => [2,1,4,6,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [7,4,3,5,6,1,2] => [2,1,6,5,3,4,7] => [2,1,5,3,6,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [6,4,3,5,7,1,2] => [2,1,7,5,3,4,6] => [2,1,5,3,7,4,6] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [5,4,3,6,7,1,2] => [2,1,7,6,3,4,5] => [2,1,6,3,4,7,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [4,5,3,6,7,1,2] => [2,1,7,6,3,5,4] => [2,1,5,6,3,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [7,3,4,5,6,1,2] => [2,1,6,5,4,3,7] => [2,1,4,5,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [6,3,4,5,7,1,2] => [2,1,7,5,4,3,6] => [2,1,4,5,7,3,6] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [5,3,4,6,7,1,2] => [2,1,7,6,4,3,5] => [2,1,4,6,3,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [4,3,5,6,7,1,2] => [2,1,7,6,5,3,4] => [2,1,5,3,6,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,4,5,6,7,1,2] => [2,1,7,6,5,4,3] => [2,1,4,5,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [7,6,5,4,2,1,3] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [6,7,5,4,2,1,3] => [3,1,2,4,5,7,6] => [3,1,2,4,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [7,5,6,4,2,1,3] => [3,1,2,4,6,5,7] => [3,1,2,4,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [6,5,7,4,2,1,3] => [3,1,2,4,7,5,6] => [3,1,2,4,7,5,6] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [5,6,7,4,2,1,3] => [3,1,2,4,7,6,5] => [3,1,2,4,6,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [7,6,4,5,2,1,3] => [3,1,2,5,4,6,7] => [3,1,2,5,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [6,7,4,5,2,1,3] => [3,1,2,5,4,7,6] => [3,1,2,5,4,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [7,5,4,6,2,1,3] => [3,1,2,6,4,5,7] => [3,1,2,6,4,5,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [6,5,4,7,2,1,3] => [3,1,2,7,4,5,6] => [3,1,2,7,4,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [5,6,4,7,2,1,3] => [3,1,2,7,4,6,5] => [3,1,2,6,7,4,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [7,4,5,6,2,1,3] => [3,1,2,6,5,4,7] => [3,1,2,5,6,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [6,4,5,7,2,1,3] => [3,1,2,7,5,4,6] => [3,1,2,5,7,4,6] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [5,4,6,7,2,1,3] => [3,1,2,7,6,4,5] => [3,1,2,6,4,7,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,2,1,3] => [3,1,2,7,6,5,4] => [3,1,2,5,6,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [7,6,5,3,2,1,4] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [6,7,5,3,2,1,4] => [4,1,2,3,5,7,6] => [4,1,2,3,5,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [7,5,6,3,2,1,4] => [4,1,2,3,6,5,7] => [4,1,2,3,6,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [6,5,7,3,2,1,4] => [4,1,2,3,7,5,6] => [4,1,2,3,7,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [5,6,7,3,2,1,4] => [4,1,2,3,7,6,5] => [4,1,2,3,6,7,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [7,6,4,3,2,1,5] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [6,7,4,3,2,1,5] => [5,1,2,3,4,7,6] => [5,1,2,3,4,7,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [7,5,4,3,2,1,6] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [6,5,4,3,2,1,7] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [5,6,4,3,2,1,7] => [7,1,2,3,4,6,5] => [6,1,2,3,7,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [7,4,5,3,2,1,6] => [6,1,2,3,5,4,7] => [5,1,2,6,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [6,4,5,3,2,1,7] => [7,1,2,3,5,4,6] => [5,1,2,7,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [5,4,6,3,2,1,7] => [7,1,2,3,6,4,5] => [6,1,2,7,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [4,5,6,3,2,1,7] => [7,1,2,3,6,5,4] => [5,1,2,6,7,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [7,6,3,4,2,1,5] => [5,1,2,4,3,6,7] => [4,1,5,2,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [6,7,3,4,2,1,5] => [5,1,2,4,3,7,6] => [4,1,5,2,3,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [7,5,3,4,2,1,6] => [6,1,2,4,3,5,7] => [4,1,6,2,3,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [6,5,3,4,2,1,7] => [7,1,2,4,3,5,6] => [4,1,7,2,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [5,6,3,4,2,1,7] => [7,1,2,4,3,6,5] => [4,1,6,2,7,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [7,4,3,5,2,1,6] => [6,1,2,5,3,4,7] => [5,1,6,2,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [6,4,3,5,2,1,7] => [7,1,2,5,3,4,6] => [5,1,7,2,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [5,4,3,6,2,1,7] => [7,1,2,6,3,4,5] => [6,1,7,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [4,5,3,6,2,1,7] => [7,1,2,6,3,5,4] => [5,1,6,7,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [7,3,4,5,2,1,6] => [6,1,2,5,4,3,7] => [4,1,5,6,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [6,3,4,5,2,1,7] => [7,1,2,5,4,3,6] => [4,1,5,7,2,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [5,3,4,6,2,1,7] => [7,1,2,6,4,3,5] => [4,1,6,7,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [4,3,5,6,2,1,7] => [7,1,2,6,5,3,4] => [5,1,6,2,7,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,5,6,2,1,7] => [7,1,2,6,5,4,3] => [4,1,5,6,7,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [7,6,5,2,3,1,4] => [4,1,3,2,5,6,7] => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [6,7,5,2,3,1,4] => [4,1,3,2,5,7,6] => [3,4,1,2,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [7,5,6,2,3,1,4] => [4,1,3,2,6,5,7] => [3,4,1,2,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [6,5,7,2,3,1,4] => [4,1,3,2,7,5,6] => [3,4,1,2,7,5,6] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [5,6,7,2,3,1,4] => [4,1,3,2,7,6,5] => [3,4,1,2,6,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [7,6,4,2,3,1,5] => [5,1,3,2,4,6,7] => [3,5,1,2,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [6,7,4,2,3,1,5] => [5,1,3,2,4,7,6] => [3,5,1,2,4,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [7,5,4,2,3,1,6] => [6,1,3,2,4,5,7] => [3,6,1,2,4,5,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [6,5,4,2,3,1,7] => [7,1,3,2,4,5,6] => [3,7,1,2,4,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [5,6,4,2,3,1,7] => [7,1,3,2,4,6,5] => [3,6,1,2,7,4,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [7,4,5,2,3,1,6] => [6,1,3,2,5,4,7] => [3,5,1,6,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [6,4,5,2,3,1,7] => [7,1,3,2,5,4,6] => [3,5,1,7,2,4,6] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [5,4,6,2,3,1,7] => [7,1,3,2,6,4,5] => [3,6,1,7,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [4,5,6,2,3,1,7] => [7,1,3,2,6,5,4] => [3,5,1,6,7,2,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [7,6,3,2,4,1,5] => [5,1,4,2,3,6,7] => [4,5,1,2,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [6,7,3,2,4,1,5] => [5,1,4,2,3,7,6] => [4,5,1,2,3,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [7,5,3,2,4,1,6] => [6,1,4,2,3,5,7] => [4,6,1,2,3,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [6,5,3,2,4,1,7] => [7,1,4,2,3,5,6] => [4,7,1,2,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [5,6,3,2,4,1,7] => [7,1,4,2,3,6,5] => [4,6,1,2,7,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [7,4,3,2,5,1,6] => [6,1,5,2,3,4,7] => [5,6,1,2,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [6,4,3,2,5,1,7] => [7,1,5,2,3,4,6] => [5,7,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2,6,1,7] => [7,1,6,2,3,4,5] => [6,7,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [4,5,3,2,6,1,7] => [7,1,6,2,3,5,4] => [5,6,1,7,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [7,3,4,2,5,1,6] => [6,1,5,2,4,3,7] => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [6,3,4,2,5,1,7] => [7,1,5,2,4,3,6] => [4,5,7,1,2,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [5,3,4,2,6,1,7] => [7,1,6,2,4,3,5] => [4,6,7,1,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [4,3,5,2,6,1,7] => [7,1,6,2,5,3,4] => [5,6,7,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,4,5,2,6,1,7] => [7,1,6,2,5,4,3] => [4,5,6,7,1,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [7,6,2,3,4,1,5] => [5,1,4,3,2,6,7] => [3,4,5,1,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [6,7,2,3,4,1,5] => [5,1,4,3,2,7,6] => [3,4,5,1,2,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [7,5,2,3,4,1,6] => [6,1,4,3,2,5,7] => [3,4,6,1,2,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [6,5,2,3,4,1,7] => [7,1,4,3,2,5,6] => [3,4,7,1,2,5,6] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [5,6,2,3,4,1,7] => [7,1,4,3,2,6,5] => [3,4,6,1,7,2,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [7,4,2,3,5,1,6] => [6,1,5,3,2,4,7] => [3,5,6,1,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [6,4,2,3,5,1,7] => [7,1,5,3,2,4,6] => [3,5,7,1,2,4,6] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [5,4,2,3,6,1,7] => [7,1,6,3,2,4,5] => [3,6,7,1,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [4,5,2,3,6,1,7] => [7,1,6,3,2,5,4] => [3,5,6,7,1,2,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [7,3,2,4,5,1,6] => [6,1,5,4,2,3,7] => [4,5,1,6,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [6,3,2,4,5,1,7] => [7,1,5,4,2,3,6] => [4,5,1,7,2,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [5,3,2,4,6,1,7] => [7,1,6,4,2,3,5] => [4,6,1,7,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [4,3,2,5,6,1,7] => [7,1,6,5,2,3,4] => [5,6,1,2,7,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,4,2,5,6,1,7] => [7,1,6,5,2,4,3] => [4,5,6,1,7,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [7,2,3,4,5,1,6] => [6,1,5,4,3,2,7] => [3,4,5,6,1,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [6,2,3,4,5,1,7] => [7,1,5,4,3,2,6] => [3,4,5,7,1,2,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [5,2,3,4,6,1,7] => [7,1,6,4,3,2,5] => [3,4,6,7,1,2,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [4,2,3,5,6,1,7] => [7,1,6,5,3,2,4] => [3,5,6,1,7,2,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,6,1,7] => [7,1,6,5,4,2,3] => [4,5,1,6,7,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,1,7] => [7,1,6,5,4,3,2] => [3,4,5,6,7,1,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [7,6,5,4,1,2,3] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [6,7,5,4,1,2,3] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [7,5,6,4,1,2,3] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [6,5,7,4,1,2,3] => [3,2,1,4,7,5,6] => [2,3,1,4,7,5,6] => [[.,.],[.,[.,[[.,[.,.]],.]]]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [5,6,7,4,1,2,3] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [7,6,4,5,1,2,3] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [6,7,4,5,1,2,3] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [7,5,4,6,1,2,3] => [3,2,1,6,4,5,7] => [2,3,1,6,4,5,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [6,5,4,7,1,2,3] => [3,2,1,7,4,5,6] => [2,3,1,7,4,5,6] => [[.,.],[.,[[.,[.,[.,.]]],.]]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [5,6,4,7,1,2,3] => [3,2,1,7,4,6,5] => [2,3,1,6,7,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [7,4,5,6,1,2,3] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [6,4,5,7,1,2,3] => [3,2,1,7,5,4,6] => [2,3,1,5,7,4,6] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [5,4,6,7,1,2,3] => [3,2,1,7,6,4,5] => [2,3,1,6,4,7,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,1,2,3] => [3,2,1,7,6,5,4] => [2,3,1,5,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [7,6,5,3,1,2,4] => [4,2,1,3,5,6,7] => [2,4,1,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [6,7,5,3,1,2,4] => [4,2,1,3,5,7,6] => [2,4,1,3,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [7,5,6,3,1,2,4] => [4,2,1,3,6,5,7] => [2,4,1,3,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [6,5,7,3,1,2,4] => [4,2,1,3,7,5,6] => [2,4,1,3,7,5,6] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [5,6,7,3,1,2,4] => [4,2,1,3,7,6,5] => [2,4,1,3,6,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [7,6,4,3,1,2,5] => [5,2,1,3,4,6,7] => [2,5,1,3,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [6,7,4,3,1,2,5] => [5,2,1,3,4,7,6] => [2,5,1,3,4,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [7,5,4,3,1,2,6] => [6,2,1,3,4,5,7] => [2,6,1,3,4,5,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [6,5,4,3,1,2,7] => [7,2,1,3,4,5,6] => [2,7,1,3,4,5,6] => [[.,.],[[.,[.,[.,[.,.]]]],.]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [5,6,4,3,1,2,7] => [7,2,1,3,4,6,5] => [2,6,1,3,7,4,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [7,4,5,3,1,2,6] => [6,2,1,3,5,4,7] => [2,5,1,6,3,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [6,4,5,3,1,2,7] => [7,2,1,3,5,4,6] => [2,5,1,7,3,4,6] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [5,4,6,3,1,2,7] => [7,2,1,3,6,4,5] => [2,6,1,7,3,4,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [4,5,6,3,1,2,7] => [7,2,1,3,6,5,4] => [2,5,1,6,7,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [7,6,3,4,1,2,5] => [5,2,1,4,3,6,7] => [2,4,5,1,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [6,7,3,4,1,2,5] => [5,2,1,4,3,7,6] => [2,4,5,1,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [7,5,3,4,1,2,6] => [6,2,1,4,3,5,7] => [2,4,6,1,3,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [6,5,3,4,1,2,7] => [7,2,1,4,3,5,6] => [2,4,7,1,3,5,6] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [5,6,3,4,1,2,7] => [7,2,1,4,3,6,5] => [2,4,6,1,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [7,4,3,5,1,2,6] => [6,2,1,5,3,4,7] => [2,5,6,1,3,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [6,4,3,5,1,2,7] => [7,2,1,5,3,4,6] => [2,5,7,1,3,4,6] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [5,4,3,6,1,2,7] => [7,2,1,6,3,4,5] => [2,6,7,1,3,4,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [4,5,3,6,1,2,7] => [7,2,1,6,3,5,4] => [2,5,6,7,1,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [7,3,4,5,1,2,6] => [6,2,1,5,4,3,7] => [2,4,5,6,1,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [6,3,4,5,1,2,7] => [7,2,1,5,4,3,6] => [2,4,5,7,1,3,6] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [5,3,4,6,1,2,7] => [7,2,1,6,4,3,5] => [2,4,6,7,1,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [4,3,5,6,1,2,7] => [7,2,1,6,5,3,4] => [2,5,6,1,7,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,4,5,6,1,2,7] => [7,2,1,6,5,4,3] => [2,4,5,6,7,1,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [7,6,5,2,1,3,4] => [4,3,1,2,5,6,7] => [3,1,4,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [6,7,5,2,1,3,4] => [4,3,1,2,5,7,6] => [3,1,4,2,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [7,5,6,2,1,3,4] => [4,3,1,2,6,5,7] => [3,1,4,2,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [6,5,7,2,1,3,4] => [4,3,1,2,7,5,6] => [3,1,4,2,7,5,6] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [5,6,7,2,1,3,4] => [4,3,1,2,7,6,5] => [3,1,4,2,6,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [7,6,4,2,1,3,5] => [5,3,1,2,4,6,7] => [3,1,5,2,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [6,7,4,2,1,3,5] => [5,3,1,2,4,7,6] => [3,1,5,2,4,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [7,5,4,2,1,3,6] => [6,3,1,2,4,5,7] => [3,1,6,2,4,5,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [6,5,4,2,1,3,7] => [7,3,1,2,4,5,6] => [3,1,7,2,4,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [5,6,4,2,1,3,7] => [7,3,1,2,4,6,5] => [3,1,6,2,7,4,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [7,4,5,2,1,3,6] => [6,3,1,2,5,4,7] => [3,1,5,6,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [6,4,5,2,1,3,7] => [7,3,1,2,5,4,6] => [3,1,5,7,2,4,6] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [5,4,6,2,1,3,7] => [7,3,1,2,6,4,5] => [3,1,6,7,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,5,6,2,1,3,7] => [7,3,1,2,6,5,4] => [3,1,5,6,7,2,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [7,6,3,2,1,4,5] => [5,4,1,2,3,6,7] => [4,1,2,5,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [6,7,3,2,1,4,5] => [5,4,1,2,3,7,6] => [4,1,2,5,3,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [7,5,3,2,1,4,6] => [6,4,1,2,3,5,7] => [4,1,2,6,3,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [6,5,3,2,1,4,7] => [7,4,1,2,3,5,6] => [4,1,2,7,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [5,6,3,2,1,4,7] => [7,4,1,2,3,6,5] => [4,1,2,6,7,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [7,4,3,2,1,5,6] => [6,5,1,2,3,4,7] => [5,1,2,3,6,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,4,3,2,1,5,7] => [7,5,1,2,3,4,6] => [5,1,2,3,7,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2,1,6,7] => [7,6,1,2,3,4,5] => [6,1,2,3,4,7,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,3,2,1,6,7] => [7,6,1,2,3,5,4] => [5,1,2,6,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [7,3,4,2,1,5,6] => [6,5,1,2,4,3,7] => [4,1,5,2,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [6,3,4,2,1,5,7] => [7,5,1,2,4,3,6] => [4,1,5,2,7,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [5,3,4,2,1,6,7] => [7,6,1,2,4,3,5] => [4,1,6,2,3,7,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [4,3,5,2,1,6,7] => [7,6,1,2,5,3,4] => [5,1,6,2,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,4,5,2,1,6,7] => [7,6,1,2,5,4,3] => [4,1,5,6,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [7,6,2,3,1,4,5] => [5,4,1,3,2,6,7] => [3,4,1,5,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [6,7,2,3,1,4,5] => [5,4,1,3,2,7,6] => [3,4,1,5,2,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [7,5,2,3,1,4,6] => [6,4,1,3,2,5,7] => [3,4,1,6,2,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [6,5,2,3,1,4,7] => [7,4,1,3,2,5,6] => [3,4,1,7,2,5,6] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [5,6,2,3,1,4,7] => [7,4,1,3,2,6,5] => [3,4,1,6,7,2,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [7,4,2,3,1,5,6] => [6,5,1,3,2,4,7] => [3,5,1,2,6,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [6,4,2,3,1,5,7] => [7,5,1,3,2,4,6] => [3,5,1,2,7,4,6] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [5,4,2,3,1,6,7] => [7,6,1,3,2,4,5] => [3,6,1,2,4,7,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,5,2,3,1,6,7] => [7,6,1,3,2,5,4] => [3,5,1,6,2,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [7,3,2,4,1,5,6] => [6,5,1,4,2,3,7] => [4,5,1,2,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [6,3,2,4,1,5,7] => [7,5,1,4,2,3,6] => [4,5,1,2,7,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [5,3,2,4,1,6,7] => [7,6,1,4,2,3,5] => [4,6,1,2,3,7,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [4,3,2,5,1,6,7] => [7,6,1,5,2,3,4] => [5,6,1,2,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,4,2,5,1,6,7] => [7,6,1,5,2,4,3] => [4,5,6,1,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [7,2,3,4,1,5,6] => [6,5,1,4,3,2,7] => [3,4,5,1,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [6,2,3,4,1,5,7] => [7,5,1,4,3,2,6] => [3,4,5,1,7,2,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [5,2,3,4,1,6,7] => [7,6,1,4,3,2,5] => [3,4,6,1,2,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,2,3,5,1,6,7] => [7,6,1,5,3,2,4] => [3,5,6,1,2,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,2,4,5,1,6,7] => [7,6,1,5,4,2,3] => [4,5,1,6,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,1,6,7] => [7,6,1,5,4,3,2] => [3,4,5,6,1,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [7,6,5,1,2,3,4] => [4,3,2,1,5,6,7] => [2,3,4,1,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [6,7,5,1,2,3,4] => [4,3,2,1,5,7,6] => [2,3,4,1,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [7,5,6,1,2,3,4] => [4,3,2,1,6,5,7] => [2,3,4,1,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [6,5,7,1,2,3,4] => [4,3,2,1,7,5,6] => [2,3,4,1,7,5,6] => [[.,.],[.,[.,[[.,[.,.]],.]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [5,6,7,1,2,3,4] => [4,3,2,1,7,6,5] => [2,3,4,1,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [7,6,4,1,2,3,5] => [5,3,2,1,4,6,7] => [2,3,5,1,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [6,7,4,1,2,3,5] => [5,3,2,1,4,7,6] => [2,3,5,1,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [7,5,4,1,2,3,6] => [6,3,2,1,4,5,7] => [2,3,6,1,4,5,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [6,5,4,1,2,3,7] => [7,3,2,1,4,5,6] => [2,3,7,1,4,5,6] => [[.,.],[.,[[.,[.,[.,.]]],.]]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [5,6,4,1,2,3,7] => [7,3,2,1,4,6,5] => [2,3,6,1,7,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [7,4,5,1,2,3,6] => [6,3,2,1,5,4,7] => [2,3,5,6,1,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [6,4,5,1,2,3,7] => [7,3,2,1,5,4,6] => [2,3,5,7,1,4,6] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [5,4,6,1,2,3,7] => [7,3,2,1,6,4,5] => [2,3,6,7,1,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,5,6,1,2,3,7] => [7,3,2,1,6,5,4] => [2,3,5,6,7,1,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [7,6,3,1,2,4,5] => [5,4,2,1,3,6,7] => [2,4,1,5,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [6,7,3,1,2,4,5] => [5,4,2,1,3,7,6] => [2,4,1,5,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [7,5,3,1,2,4,6] => [6,4,2,1,3,5,7] => [2,4,1,6,3,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [6,5,3,1,2,4,7] => [7,4,2,1,3,5,6] => [2,4,1,7,3,5,6] => [[.,.],[[.,.],[[.,[.,.]],.]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [5,6,3,1,2,4,7] => [7,4,2,1,3,6,5] => [2,4,1,6,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [7,4,3,1,2,5,6] => [6,5,2,1,3,4,7] => [2,5,1,3,6,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [6,4,3,1,2,5,7] => [7,5,2,1,3,4,6] => [2,5,1,3,7,4,6] => [[.,.],[[.,[.,.]],[[.,.],.]]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [5,4,3,1,2,6,7] => [7,6,2,1,3,4,5] => [2,6,1,3,4,7,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [4,5,3,1,2,6,7] => [7,6,2,1,3,5,4] => [2,5,1,6,3,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [7,3,4,1,2,5,6] => [6,5,2,1,4,3,7] => [2,4,5,1,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [6,3,4,1,2,5,7] => [7,5,2,1,4,3,6] => [2,4,5,1,7,3,6] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [5,3,4,1,2,6,7] => [7,6,2,1,4,3,5] => [2,4,6,1,3,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [4,3,5,1,2,6,7] => [7,6,2,1,5,3,4] => [2,5,6,1,3,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [3,4,5,1,2,6,7] => [7,6,2,1,5,4,3] => [2,4,5,6,1,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [7,6,2,1,3,4,5] => [5,4,3,1,2,6,7] => [3,1,4,5,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [6,7,2,1,3,4,5] => [5,4,3,1,2,7,6] => [3,1,4,5,2,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [7,5,2,1,3,4,6] => [6,4,3,1,2,5,7] => [3,1,4,6,2,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [6,5,2,1,3,4,7] => [7,4,3,1,2,5,6] => [3,1,4,7,2,5,6] => [[.,[.,.]],[.,[[.,[.,.]],.]]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,6,2,1,3,4,7] => [7,4,3,1,2,6,5] => [3,1,4,6,7,2,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [7,4,2,1,3,5,6] => [6,5,3,1,2,4,7] => [3,1,5,2,6,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [6,4,2,1,3,5,7] => [7,5,3,1,2,4,6] => [3,1,5,2,7,4,6] => [[.,[.,.]],[[.,.],[[.,.],.]]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [5,4,2,1,3,6,7] => [7,6,3,1,2,4,5] => [3,1,6,2,4,7,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,5,2,1,3,6,7] => [7,6,3,1,2,5,4] => [3,1,5,6,2,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [7,3,2,1,4,5,6] => [6,5,4,1,2,3,7] => [4,1,2,5,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [6,3,2,1,4,5,7] => [7,5,4,1,2,3,6] => [4,1,2,5,7,3,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [5,3,2,1,4,6,7] => [7,6,4,1,2,3,5] => [4,1,2,6,3,7,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1,5,6,7] => [7,6,5,1,2,3,4] => [5,1,2,3,6,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [3,4,2,1,5,6,7] => [7,6,5,1,2,4,3] => [4,1,5,2,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [7,2,3,1,4,5,6] => [6,5,4,1,3,2,7] => [3,4,1,5,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [6,2,3,1,4,5,7] => [7,5,4,1,3,2,6] => [3,4,1,5,7,2,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,2,3,1,4,6,7] => [7,6,4,1,3,2,5] => [3,4,1,6,2,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,3,1,5,6,7] => [7,6,5,1,3,2,4] => [3,5,1,2,6,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,4,1,5,6,7] => [7,6,5,1,4,2,3] => [4,5,1,2,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,3,4,1,5,6,7] => [7,6,5,1,4,3,2] => [3,4,5,1,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [7,6,1,2,3,4,5] => [5,4,3,2,1,6,7] => [2,3,4,5,1,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [6,7,1,2,3,4,5] => [5,4,3,2,1,7,6] => [2,3,4,5,1,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,5,1,2,3,4,6] => [6,4,3,2,1,5,7] => [2,3,4,6,1,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [6,5,1,2,3,4,7] => [7,4,3,2,1,5,6] => [2,3,4,7,1,5,6] => [[.,.],[.,[.,[[.,[.,.]],.]]]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,6,1,2,3,4,7] => [7,4,3,2,1,6,5] => [2,3,4,6,7,1,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,4,1,2,3,5,6] => [6,5,3,2,1,4,7] => [2,3,5,1,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [6,4,1,2,3,5,7] => [7,5,3,2,1,4,6] => [2,3,5,1,7,4,6] => [[.,.],[.,[[.,.],[[.,.],.]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [5,4,1,2,3,6,7] => [7,6,3,2,1,4,5] => [2,3,6,1,4,7,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [4,5,1,2,3,6,7] => [7,6,3,2,1,5,4] => [2,3,5,6,1,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,3,1,2,4,5,6] => [6,5,4,2,1,3,7] => [2,4,1,5,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [6,3,1,2,4,5,7] => [7,5,4,2,1,3,6] => [2,4,1,5,7,3,6] => [[.,.],[[.,.],[.,[[.,.],.]]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [5,3,1,2,4,6,7] => [7,6,4,2,1,3,5] => [2,4,1,6,3,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,2,5,6,7] => [7,6,5,2,1,3,4] => [2,5,1,3,6,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => [7,6,5,2,1,4,3] => [2,4,5,1,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,3,4,5,6] => [6,5,4,3,1,2,7] => [3,1,4,5,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,2,1,3,4,5,7] => [7,5,4,3,1,2,6] => [3,1,4,5,7,2,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [5,2,1,3,4,6,7] => [7,6,4,3,1,2,5] => [3,1,4,6,2,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,3,5,6,7] => [7,6,5,3,1,2,4] => [3,1,5,2,6,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,4,5,6,7] => [7,6,5,4,1,2,3] => [4,1,2,5,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,3,1,4,5,6,7] => [7,6,5,4,1,3,2] => [3,4,1,5,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6] => [6,5,4,3,2,1,7] => [2,3,4,5,6,1,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,2,3,4,5,7] => [7,5,4,3,2,1,6] => [2,3,4,5,7,1,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [5,1,2,3,4,6,7] => [7,6,4,3,2,1,5] => [2,3,4,6,1,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,2,3,5,6,7] => [7,6,5,3,2,1,4] => [2,3,5,1,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,2,4,5,6,7] => [7,6,5,4,2,1,3] => [2,4,1,5,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => [7,6,5,4,3,1,2] => [3,1,4,5,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [2,3,4,5,6,7,1] => [[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [7,6,8,5,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [6,7,8,5,4,3,2,1] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [7,8,5,6,4,3,2,1] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [8,6,5,7,4,3,2,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,7,5,6,8] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [7,6,5,8,4,3,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [6,7,5,8,4,3,2,1] => [1,2,3,4,8,5,7,6] => [1,2,3,4,7,8,5,6] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [8,5,6,7,4,3,2,1] => [1,2,3,4,7,6,5,8] => [1,2,3,4,6,7,5,8] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [7,5,6,8,4,3,2,1] => [1,2,3,4,8,6,5,7] => [1,2,3,4,6,8,5,7] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [6,5,7,8,4,3,2,1] => [1,2,3,4,8,7,5,6] => [1,2,3,4,7,5,8,6] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [5,6,7,8,4,3,2,1] => [1,2,3,4,8,7,6,5] => [1,2,3,4,6,7,8,5] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [7,8,6,4,5,3,2,1] => [1,2,3,5,4,6,8,7] => [1,2,3,5,4,6,8,7] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [8,6,7,4,5,3,2,1] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [7,6,8,4,5,3,2,1] => [1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [6,7,8,4,5,3,2,1] => [1,2,3,5,4,8,7,6] => [1,2,3,5,4,7,8,6] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [8,7,5,4,6,3,2,1] => [1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [7,8,5,4,6,3,2,1] => [1,2,3,6,4,5,8,7] => [1,2,3,6,4,5,8,7] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [8,6,5,4,7,3,2,1] => [1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [7,6,5,4,8,3,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [6,7,5,4,8,3,2,1] => [1,2,3,8,4,5,7,6] => [1,2,3,7,4,8,5,6] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [8,5,6,4,7,3,2,1] => [1,2,3,7,4,6,5,8] => [1,2,3,6,7,4,5,8] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [7,5,6,4,8,3,2,1] => [1,2,3,8,4,6,5,7] => [1,2,3,6,8,4,5,7] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [6,5,7,4,8,3,2,1] => [1,2,3,8,4,7,5,6] => [1,2,3,7,8,4,5,6] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [5,6,7,4,8,3,2,1] => [1,2,3,8,4,7,6,5] => [1,2,3,6,7,8,4,5] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [8,7,4,5,6,3,2,1] => [1,2,3,6,5,4,7,8] => [1,2,3,5,6,4,7,8] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [7,8,4,5,6,3,2,1] => [1,2,3,6,5,4,8,7] => [1,2,3,5,6,4,8,7] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [8,6,4,5,7,3,2,1] => [1,2,3,7,5,4,6,8] => [1,2,3,5,7,4,6,8] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [7,6,4,5,8,3,2,1] => [1,2,3,8,5,4,6,7] => [1,2,3,5,8,4,6,7] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [6,7,4,5,8,3,2,1] => [1,2,3,8,5,4,7,6] => [1,2,3,5,7,8,4,6] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [8,5,4,6,7,3,2,1] => [1,2,3,7,6,4,5,8] => [1,2,3,6,4,7,5,8] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [7,5,4,6,8,3,2,1] => [1,2,3,8,6,4,5,7] => [1,2,3,6,4,8,5,7] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [6,5,4,7,8,3,2,1] => [1,2,3,8,7,4,5,6] => [1,2,3,7,4,5,8,6] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [5,6,4,7,8,3,2,1] => [1,2,3,8,7,4,6,5] => [1,2,3,6,7,4,8,5] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [8,4,5,6,7,3,2,1] => [1,2,3,7,6,5,4,8] => [1,2,3,5,6,7,4,8] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [7,4,5,6,8,3,2,1] => [1,2,3,8,6,5,4,7] => [1,2,3,5,6,8,4,7] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [6,4,5,7,8,3,2,1] => [1,2,3,8,7,5,4,6] => [1,2,3,5,7,4,8,6] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [5,4,6,7,8,3,2,1] => [1,2,3,8,7,6,4,5] => [1,2,3,6,4,7,8,5] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,3,2,1] => [1,2,3,8,7,6,5,4] => [1,2,3,5,6,7,8,4] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,3,4,2,1] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,3,4,2,1] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,3,4,2,1] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,3,4,2,1] => [1,2,4,3,5,8,6,7] => [1,2,4,3,5,8,6,7] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,3,4,2,1] => [1,2,4,3,5,8,7,6] => [1,2,4,3,5,7,8,6] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,3,4,2,1] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,3,4,2,1] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,3,4,2,1] => [1,2,4,3,7,5,6,8] => [1,2,4,3,7,5,6,8] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,3,4,2,1] => [1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,3,4,2,1] => [1,2,4,3,8,5,7,6] => [1,2,4,3,7,8,5,6] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,3,4,2,1] => [1,2,4,3,8,6,5,7] => [1,2,4,3,6,8,5,7] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,3,4,2,1] => [1,2,4,3,8,7,5,6] => [1,2,4,3,7,5,8,6] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,3,4,2,1] => [1,2,4,3,8,7,6,5] => [1,2,4,3,6,7,8,5] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,3,5,2,1] => [1,2,5,3,4,6,7,8] => [1,2,5,3,4,6,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,3,5,2,1] => [1,2,5,3,4,6,8,7] => [1,2,5,3,4,6,8,7] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,3,5,2,1] => [1,2,5,3,4,7,6,8] => [1,2,5,3,4,7,6,8] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,3,5,2,1] => [1,2,5,3,4,8,6,7] => [1,2,5,3,4,8,6,7] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,3,5,2,1] => [1,2,5,3,4,8,7,6] => [1,2,5,3,4,7,8,6] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,3,6,2,1] => [1,2,6,3,4,5,7,8] => [1,2,6,3,4,5,7,8] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,3,6,2,1] => [1,2,6,3,4,5,8,7] => [1,2,6,3,4,5,8,7] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,3,7,2,1] => [1,2,7,3,4,5,6,8] => [1,2,7,3,4,5,6,8] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,3,8,2,1] => [1,2,8,3,4,5,6,7] => [1,2,8,3,4,5,6,7] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,3,8,2,1] => [1,2,8,3,4,5,7,6] => [1,2,7,3,4,8,5,6] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,3,7,2,1] => [1,2,7,3,4,6,5,8] => [1,2,6,3,7,4,5,8] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,3,8,2,1] => [1,2,8,3,4,6,5,7] => [1,2,6,3,8,4,5,7] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,3,8,2,1] => [1,2,8,3,4,7,6,5] => [1,2,6,3,7,8,4,5] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,3,6,2,1] => [1,2,6,3,5,4,7,8] => [1,2,5,6,3,4,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,3,7,2,1] => [1,2,7,3,5,4,6,8] => [1,2,5,7,3,4,6,8] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,3,8,2,1] => [1,2,8,3,5,4,6,7] => [1,2,5,8,3,4,6,7] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,3,8,2,1] => [1,2,8,3,5,4,7,6] => [1,2,5,7,3,8,4,6] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [8,5,4,6,3,7,2,1] => [1,2,7,3,6,4,5,8] => [1,2,6,7,3,4,5,8] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,3,8,2,1] => [1,2,8,3,6,4,5,7] => [1,2,6,8,3,4,5,7] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,3,8,2,1] => [1,2,8,3,7,4,5,6] => [1,2,7,8,3,4,5,6] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,3,8,2,1] => [1,2,8,3,7,4,6,5] => [1,2,6,7,8,3,4,5] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,3,8,2,1] => [1,2,8,3,6,5,4,7] => [1,2,5,6,8,3,4,7] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,3,8,2,1] => [1,2,8,3,7,5,4,6] => [1,2,5,7,8,3,4,6] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,3,8,2,1] => [1,2,8,3,7,6,4,5] => [1,2,6,7,3,8,4,5] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,3,8,2,1] => [1,2,8,3,7,6,5,4] => [1,2,5,6,7,8,3,4] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,4,5,2,1] => [1,2,5,4,3,6,7,8] => [1,2,4,5,3,6,7,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,4,5,2,1] => [1,2,5,4,3,8,6,7] => [1,2,4,5,3,8,6,7] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,4,5,2,1] => [1,2,5,4,3,8,7,6] => [1,2,4,5,3,7,8,6] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,4,6,2,1] => [1,2,6,4,3,5,7,8] => [1,2,4,6,3,5,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,4,7,2,1] => [1,2,7,4,3,5,6,8] => [1,2,4,7,3,5,6,8] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,4,8,2,1] => [1,2,8,4,3,5,6,7] => [1,2,4,8,3,5,6,7] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,4,8,2,1] => [1,2,8,4,3,5,7,6] => [1,2,4,7,3,8,5,6] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,4,8,2,1] => [1,2,8,4,3,6,5,7] => [1,2,4,6,8,3,5,7] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,4,8,2,1] => [1,2,8,4,3,7,5,6] => [1,2,4,7,8,3,5,6] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,4,8,2,1] => [1,2,8,4,3,7,6,5] => [1,2,4,6,7,8,3,5] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,5,6,2,1] => [1,2,6,5,3,4,7,8] => [1,2,5,3,6,4,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [8,6,4,3,5,7,2,1] => [1,2,7,5,3,4,6,8] => [1,2,5,3,7,4,6,8] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,5,8,2,1] => [1,2,8,5,3,4,6,7] => [1,2,5,3,8,4,6,7] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,6,7,2,1] => [1,2,7,6,3,4,5,8] => [1,2,6,3,4,7,5,8] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,6,8,2,1] => [1,2,8,6,3,4,5,7] => [1,2,6,3,4,8,5,7] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,7,8,2,1] => [1,2,8,7,3,4,5,6] => [1,2,7,3,4,5,8,6] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,7,8,2,1] => [1,2,8,7,3,4,6,5] => [1,2,6,3,7,4,8,5] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,7,8,2,1] => [1,2,8,7,3,5,4,6] => [1,2,5,7,3,4,8,6] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,7,8,2,1] => [1,2,8,7,3,6,5,4] => [1,2,5,6,7,3,8,4] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [8,7,3,4,5,6,2,1] => [1,2,6,5,4,3,7,8] => [1,2,4,5,6,3,7,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,5,8,2,1] => [1,2,8,5,4,3,6,7] => [1,2,4,5,8,3,6,7] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [8,5,3,4,6,7,2,1] => [1,2,7,6,4,3,5,8] => [1,2,4,6,3,7,5,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,6,8,2,1] => [1,2,8,6,4,3,5,7] => [1,2,4,6,3,8,5,7] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,7,8,2,1] => [1,2,8,7,6,3,4,5] => [1,2,6,3,4,7,8,5] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,7,8,2,1] => [1,2,8,7,6,3,5,4] => [1,2,5,6,3,7,8,4] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,6,7,2,1] => [1,2,7,6,5,4,3,8] => [1,2,4,5,6,7,3,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,6,8,2,1] => [1,2,8,6,5,4,3,7] => [1,2,4,5,6,8,3,7] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,7,8,2,1] => [1,2,8,7,5,4,3,6] => [1,2,4,5,7,3,8,6] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,7,8,2,1] => [1,2,8,7,6,5,3,4] => [1,2,5,3,6,7,8,4] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,8,2,1] => [1,2,8,7,6,5,4,3] => [1,2,4,5,6,7,8,3] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [7,8,6,5,4,2,3,1] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [8,6,7,5,4,2,3,1] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [7,6,8,5,4,2,3,1] => [1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [6,7,8,5,4,2,3,1] => [1,3,2,4,5,8,7,6] => [1,3,2,4,5,7,8,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [8,7,5,6,4,2,3,1] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [7,8,5,6,4,2,3,1] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [7,6,5,8,4,2,3,1] => [1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [6,7,5,8,4,2,3,1] => [1,3,2,4,8,5,7,6] => [1,3,2,4,7,8,5,6] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [8,5,6,7,4,2,3,1] => [1,3,2,4,7,6,5,8] => [1,3,2,4,6,7,5,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [7,5,6,8,4,2,3,1] => [1,3,2,4,8,6,5,7] => [1,3,2,4,6,8,5,7] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [5,6,7,8,4,2,3,1] => [1,3,2,4,8,7,6,5] => [1,3,2,4,6,7,8,5] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [8,7,6,4,5,2,3,1] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [8,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [7,6,8,4,5,2,3,1] => [1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [6,7,8,4,5,2,3,1] => [1,3,2,5,4,8,7,6] => [1,3,2,5,4,7,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [8,7,5,4,6,2,3,1] => [1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [8,6,5,4,7,2,3,1] => [1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [7,6,5,4,8,2,3,1] => [1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [6,7,5,4,8,2,3,1] => [1,3,2,8,4,5,7,6] => [1,3,2,7,4,8,5,6] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [8,5,6,4,7,2,3,1] => [1,3,2,7,4,6,5,8] => [1,3,2,6,7,4,5,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [7,5,6,4,8,2,3,1] => [1,3,2,8,4,6,5,7] => [1,3,2,6,8,4,5,7] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [8,7,4,5,6,2,3,1] => [1,3,2,6,5,4,7,8] => [1,3,2,5,6,4,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [7,8,4,5,6,2,3,1] => [1,3,2,6,5,4,8,7] => [1,3,2,5,6,4,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [8,6,4,5,7,2,3,1] => [1,3,2,7,5,4,6,8] => [1,3,2,5,7,4,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [7,6,4,5,8,2,3,1] => [1,3,2,8,5,4,6,7] => [1,3,2,5,8,4,6,7] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [6,7,4,5,8,2,3,1] => [1,3,2,8,5,4,7,6] => [1,3,2,5,7,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [8,5,4,6,7,2,3,1] => [1,3,2,7,6,4,5,8] => [1,3,2,6,4,7,5,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5,4,6,8,2,3,1] => [1,3,2,8,6,4,5,7] => [1,3,2,6,4,8,5,7] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [5,6,4,7,8,2,3,1] => [1,3,2,8,7,4,6,5] => [1,3,2,6,7,4,8,5] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [8,4,5,6,7,2,3,1] => [1,3,2,7,6,5,4,8] => [1,3,2,5,6,7,4,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,2,3,1] => [1,3,2,8,7,6,5,4] => [1,3,2,5,6,7,8,4] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,3,2,4,1] => [1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,3,2,4,1] => [1,4,2,3,5,6,8,7] => [1,4,2,3,5,6,8,7] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,3,2,4,1] => [1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,3,2,4,1] => [1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,3,2,4,1] => [1,4,2,3,5,8,7,6] => [1,4,2,3,5,7,8,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,3,2,4,1] => [1,4,2,3,6,5,7,8] => [1,4,2,3,6,5,7,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,3,2,4,1] => [1,4,2,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,3,2,4,1] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,3,2,4,1] => [1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,3,2,4,1] => [1,4,2,3,8,5,7,6] => [1,4,2,3,7,8,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,3,2,4,1] => [1,4,2,3,8,7,5,6] => [1,4,2,3,7,5,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,3,2,4,1] => [1,4,2,3,8,7,6,5] => [1,4,2,3,6,7,8,5] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,3,2,5,1] => [1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,3,2,5,1] => [1,5,2,3,4,6,8,7] => [1,5,2,3,4,6,8,7] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,3,2,5,1] => [1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,3,2,5,1] => [1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,3,2,5,1] => [1,5,2,3,4,8,7,6] => [1,5,2,3,4,7,8,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,3,2,6,1] => [1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,3,2,6,1] => [1,6,2,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,3,2,7,1] => [1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,3,2,8,1] => [1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,3,2,8,1] => [1,8,2,3,4,5,7,6] => [1,7,2,3,4,8,5,6] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,3,2,7,1] => [1,7,2,3,4,6,5,8] => [1,6,2,3,7,4,5,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,3,2,8,1] => [1,8,2,3,4,6,5,7] => [1,6,2,3,8,4,5,7] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,3,2,8,1] => [1,8,2,3,4,7,5,6] => [1,7,2,3,8,4,5,6] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,3,2,8,1] => [1,8,2,3,4,7,6,5] => [1,6,2,3,7,8,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,3,2,7,1] => [1,7,2,3,5,4,6,8] => [1,5,2,7,3,4,6,8] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,3,2,8,1] => [1,8,2,3,5,4,6,7] => [1,5,2,8,3,4,6,7] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [8,5,4,6,3,2,7,1] => [1,7,2,3,6,4,5,8] => [1,6,2,7,3,4,5,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,3,2,8,1] => [1,8,2,3,6,4,5,7] => [1,6,2,8,3,4,5,7] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,3,2,8,1] => [1,8,2,3,6,5,4,7] => [1,5,2,6,8,3,4,7] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,3,2,8,1] => [1,8,2,3,7,5,4,6] => [1,5,2,7,8,3,4,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,3,2,8,1] => [1,8,2,3,7,6,4,5] => [1,6,2,7,3,8,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,3,2,8,1] => [1,8,2,3,7,6,5,4] => [1,5,2,6,7,8,3,4] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,4,2,5,1] => [1,5,2,4,3,6,7,8] => [1,4,5,2,3,6,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,4,2,5,1] => [1,5,2,4,3,7,6,8] => [1,4,5,2,3,7,6,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,4,2,5,1] => [1,5,2,4,3,8,6,7] => [1,4,5,2,3,8,6,7] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,4,2,5,1] => [1,5,2,4,3,8,7,6] => [1,4,5,2,3,7,8,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,4,2,6,1] => [1,6,2,4,3,5,7,8] => [1,4,6,2,3,5,7,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,4,2,6,1] => [1,6,2,4,3,5,8,7] => [1,4,6,2,3,5,8,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,4,2,7,1] => [1,7,2,4,3,5,6,8] => [1,4,7,2,3,5,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,4,2,8,1] => [1,8,2,4,3,5,6,7] => [1,4,8,2,3,5,6,7] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [8,5,6,3,4,2,7,1] => [1,7,2,4,3,6,5,8] => [1,4,6,2,7,3,5,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,4,2,8,1] => [1,8,2,4,3,6,5,7] => [1,4,6,2,8,3,5,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,4,2,8,1] => [1,8,2,4,3,7,5,6] => [1,4,7,2,8,3,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,4,2,8,1] => [1,8,2,4,3,7,6,5] => [1,4,6,2,7,8,3,5] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,5,2,6,1] => [1,6,2,5,3,4,7,8] => [1,5,6,2,3,4,7,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,5,2,6,1] => [1,6,2,5,3,4,8,7] => [1,5,6,2,3,4,8,7] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,5,2,8,1] => [1,8,2,5,3,4,6,7] => [1,5,8,2,3,4,6,7] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,5,2,8,1] => [1,8,2,5,3,4,7,6] => [1,5,7,2,3,8,4,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,6,2,7,1] => [1,7,2,6,3,4,5,8] => [1,6,7,2,3,4,5,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,6,2,8,1] => [1,8,2,6,3,4,5,7] => [1,6,8,2,3,4,5,7] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,7,2,8,1] => [1,8,2,7,3,4,5,6] => [1,7,8,2,3,4,5,6] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,7,2,8,1] => [1,8,2,7,3,4,6,5] => [1,6,7,2,8,3,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [8,4,5,3,6,2,7,1] => [1,7,2,6,3,5,4,8] => [1,5,6,7,2,3,4,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [7,4,5,3,6,2,8,1] => [1,8,2,6,3,5,4,7] => [1,5,6,8,2,3,4,7] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,7,2,8,1] => [1,8,2,7,3,5,4,6] => [1,5,7,8,2,3,4,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,7,2,8,1] => [1,8,2,7,3,6,4,5] => [1,6,7,8,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,7,2,8,1] => [1,8,2,7,3,6,5,4] => [1,5,6,7,8,2,3,4] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [8,6,3,4,5,2,7,1] => [1,7,2,5,4,3,6,8] => [1,4,5,7,2,3,6,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [8,5,3,4,6,2,7,1] => [1,7,2,6,4,3,5,8] => [1,4,6,7,2,3,5,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,6,2,8,1] => [1,8,2,6,4,3,5,7] => [1,4,6,8,2,3,5,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,7,2,8,1] => [1,8,2,7,4,3,5,6] => [1,4,7,8,2,3,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,7,2,8,1] => [1,8,2,7,4,3,6,5] => [1,4,6,7,8,2,3,5] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,6,2,8,1] => [1,8,2,6,5,3,4,7] => [1,5,6,2,8,3,4,7] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,7,2,8,1] => [1,8,2,7,5,3,4,6] => [1,5,7,2,8,3,4,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,7,2,8,1] => [1,8,2,7,6,3,4,5] => [1,6,7,2,3,8,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,7,2,8,1] => [1,8,2,7,6,3,5,4] => [1,5,6,7,2,8,3,4] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,6,2,7,1] => [1,7,2,6,5,4,3,8] => [1,4,5,6,7,2,3,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,7,2,8,1] => [1,8,2,7,5,4,3,6] => [1,4,5,7,8,2,3,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [5,3,4,6,7,2,8,1] => [1,8,2,7,6,4,3,5] => [1,4,6,7,2,8,3,5] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,2,8,1] => [1,8,2,7,6,5,4,3] => [1,4,5,6,7,8,2,3] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,2,3,4,1] => [1,4,3,2,5,6,7,8] => [1,3,4,2,5,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,2,3,4,1] => [1,4,3,2,5,7,6,8] => [1,3,4,2,5,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,2,3,4,1] => [1,4,3,2,5,8,6,7] => [1,3,4,2,5,8,6,7] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,2,3,4,1] => [1,4,3,2,5,8,7,6] => [1,3,4,2,5,7,8,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,2,3,4,1] => [1,4,3,2,8,5,6,7] => [1,3,4,2,8,5,6,7] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [8,5,6,7,2,3,4,1] => [1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,2,3,4,1] => [1,4,3,2,8,7,6,5] => [1,3,4,2,6,7,8,5] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,2,3,5,1] => [1,5,3,2,4,6,7,8] => [1,3,5,2,4,6,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,2,3,5,1] => [1,5,3,2,4,6,8,7] => [1,3,5,2,4,6,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,2,3,5,1] => [1,5,3,2,4,7,6,8] => [1,3,5,2,4,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,2,3,5,1] => [1,5,3,2,4,8,6,7] => [1,3,5,2,4,8,6,7] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,2,3,6,1] => [1,6,3,2,4,5,7,8] => [1,3,6,2,4,5,7,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,2,3,7,1] => [1,7,3,2,4,5,6,8] => [1,3,7,2,4,5,6,8] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,2,3,8,1] => [1,8,3,2,4,5,6,7] => [1,3,8,2,4,5,6,7] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,2,3,8,1] => [1,8,3,2,4,5,7,6] => [1,3,7,2,4,8,5,6] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,2,3,7,1] => [1,7,3,2,4,6,5,8] => [1,3,6,2,7,4,5,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,2,3,8,1] => [1,8,3,2,4,7,5,6] => [1,3,7,2,8,4,5,6] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,2,3,6,1] => [1,6,3,2,5,4,7,8] => [1,3,5,6,2,4,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,2,3,7,1] => [1,7,3,2,5,4,6,8] => [1,3,5,7,2,4,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,2,3,8,1] => [1,8,3,2,5,4,6,7] => [1,3,5,8,2,4,6,7] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,2,3,8,1] => [1,8,3,2,5,4,7,6] => [1,3,5,7,2,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,2,3,8,1] => [1,8,3,2,7,5,4,6] => [1,3,5,7,8,2,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,2,3,8,1] => [1,8,3,2,7,6,5,4] => [1,3,5,6,7,8,2,4] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,2,4,5,1] => [1,5,4,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [7,8,6,3,2,4,5,1] => [1,5,4,2,3,6,8,7] => [1,4,2,5,3,6,8,7] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,2,4,5,1] => [1,5,4,2,3,7,6,8] => [1,4,2,5,3,7,6,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,2,4,5,1] => [1,5,4,2,3,8,6,7] => [1,4,2,5,3,8,6,7] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,2,4,6,1] => [1,6,4,2,3,5,7,8] => [1,4,2,6,3,5,7,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,2,4,6,1] => [1,6,4,2,3,5,8,7] => [1,4,2,6,3,5,8,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,2,4,7,1] => [1,7,4,2,3,5,6,8] => [1,4,2,7,3,5,6,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,2,4,8,1] => [1,8,4,2,3,5,6,7] => [1,4,2,8,3,5,6,7] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,2,4,8,1] => [1,8,4,2,3,5,7,6] => [1,4,2,7,3,8,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,2,4,8,1] => [1,8,4,2,3,6,5,7] => [1,4,2,6,8,3,5,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,2,4,8,1] => [1,8,4,2,3,7,5,6] => [1,4,2,7,8,3,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,2,4,8,1] => [1,8,4,2,3,7,6,5] => [1,4,2,6,7,8,3,5] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,2,5,6,1] => [1,6,5,2,3,4,8,7] => [1,5,2,3,6,4,8,7] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [8,6,4,3,2,5,7,1] => [1,7,5,2,3,4,6,8] => [1,5,2,3,7,4,6,8] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,2,5,8,1] => [1,8,5,2,3,4,7,6] => [1,5,2,3,7,8,4,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,2,6,7,1] => [1,7,6,2,3,4,5,8] => [1,6,2,3,4,7,5,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,2,6,8,1] => [1,8,6,2,3,4,5,7] => [1,6,2,3,4,8,5,7] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,2,7,8,1] => [1,8,7,2,3,4,5,6] => [1,7,2,3,4,5,8,6] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,2,7,8,1] => [1,8,7,2,3,4,6,5] => [1,6,2,3,7,4,8,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,2,7,8,1] => [1,8,7,2,3,5,4,6] => [1,5,2,7,3,4,8,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,2,7,8,1] => [1,8,7,2,3,6,4,5] => [1,6,2,7,3,4,8,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,2,6,8,1] => [1,8,6,2,4,3,5,7] => [1,4,6,2,3,8,5,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,2,6,8,1] => [1,8,6,2,5,3,4,7] => [1,5,6,2,3,8,4,7] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,2,7,8,1] => [1,8,7,2,5,3,4,6] => [1,5,7,2,3,4,8,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,2,7,8,1] => [1,8,7,2,6,3,4,5] => [1,6,7,2,3,4,8,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,2,7,8,1] => [1,8,7,2,6,3,5,4] => [1,5,6,7,2,3,8,4] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,2,7,8,1] => [1,8,7,2,5,4,3,6] => [1,4,5,7,2,3,8,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,2,7,8,1] => [1,8,7,2,6,5,4,3] => [1,4,5,6,7,2,8,3] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [8,7,6,2,3,4,5,1] => [1,5,4,3,2,6,7,8] => [1,3,4,5,2,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [8,6,7,2,3,4,5,1] => [1,5,4,3,2,7,6,8] => [1,3,4,5,2,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [6,7,8,2,3,4,5,1] => [1,5,4,3,2,8,7,6] => [1,3,4,5,2,7,8,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [8,7,5,2,3,4,6,1] => [1,6,4,3,2,5,7,8] => [1,3,4,6,2,5,7,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [8,6,5,2,3,4,7,1] => [1,7,4,3,2,5,6,8] => [1,3,4,7,2,5,6,8] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [7,6,5,2,3,4,8,1] => [1,8,4,3,2,5,6,7] => [1,3,4,8,2,5,6,7] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [6,5,7,2,3,4,8,1] => [1,8,4,3,2,7,5,6] => [1,3,4,7,8,2,5,6] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [7,8,4,2,3,5,6,1] => [1,6,5,3,2,4,8,7] => [1,3,5,2,6,4,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,3,5,7,1] => [1,7,5,3,2,4,6,8] => [1,3,5,2,7,4,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [7,6,4,2,3,5,8,1] => [1,8,5,3,2,4,6,7] => [1,3,5,2,8,4,6,7] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [6,7,4,2,3,5,8,1] => [1,8,5,3,2,4,7,6] => [1,3,5,2,7,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [8,5,4,2,3,6,7,1] => [1,7,6,3,2,4,5,8] => [1,3,6,2,4,7,5,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [7,5,4,2,3,6,8,1] => [1,8,6,3,2,4,5,7] => [1,3,6,2,4,8,5,7] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [6,5,4,2,3,7,8,1] => [1,8,7,3,2,4,5,6] => [1,3,7,2,4,5,8,6] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [5,6,4,2,3,7,8,1] => [1,8,7,3,2,4,6,5] => [1,3,6,2,7,4,8,5] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [7,4,5,2,3,6,8,1] => [1,8,6,3,2,5,4,7] => [1,3,5,6,2,8,4,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [6,4,5,2,3,7,8,1] => [1,8,7,3,2,5,4,6] => [1,3,5,7,2,4,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [5,4,6,2,3,7,8,1] => [1,8,7,3,2,6,4,5] => [1,3,6,7,2,4,8,5] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [7,6,3,2,4,5,8,1] => [1,8,5,4,2,3,6,7] => [1,4,2,5,8,3,6,7] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [6,7,3,2,4,5,8,1] => [1,8,5,4,2,3,7,6] => [1,4,2,5,7,8,3,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [8,5,3,2,4,6,7,1] => [1,7,6,4,2,3,5,8] => [1,4,2,6,3,7,5,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [7,5,3,2,4,6,8,1] => [1,8,6,4,2,3,5,7] => [1,4,2,6,3,8,5,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [6,5,3,2,4,7,8,1] => [1,8,7,4,2,3,5,6] => [1,4,2,7,3,5,8,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [6,4,3,2,5,7,8,1] => [1,8,7,5,2,3,4,6] => [1,5,2,3,7,4,8,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,4,3,2,6,7,8,1] => [1,8,7,6,2,3,4,5] => [1,6,2,3,4,7,8,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [8,3,4,2,5,6,7,1] => [1,7,6,5,2,4,3,8] => [1,4,5,2,6,7,3,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,3,4,2,6,7,8,1] => [1,8,7,6,2,4,3,5] => [1,4,6,2,3,7,8,5] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [3,4,5,2,6,7,8,1] => [1,8,7,6,2,5,4,3] => [1,4,5,6,2,7,8,3] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [8,7,2,3,4,5,6,1] => [1,6,5,4,3,2,7,8] => [1,3,4,5,6,2,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [7,8,2,3,4,5,6,1] => [1,6,5,4,3,2,8,7] => [1,3,4,5,6,2,8,7] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [8,6,2,3,4,5,7,1] => [1,7,5,4,3,2,6,8] => [1,3,4,5,7,2,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [7,6,2,3,4,5,8,1] => [1,8,5,4,3,2,6,7] => [1,3,4,5,8,2,6,7] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [6,7,2,3,4,5,8,1] => [1,8,5,4,3,2,7,6] => [1,3,4,5,7,8,2,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [6,5,2,3,4,7,8,1] => [1,8,7,4,3,2,5,6] => [1,3,4,7,2,5,8,6] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [5,6,2,3,4,7,8,1] => [1,8,7,4,3,2,6,5] => [1,3,4,6,7,2,8,5] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [8,4,2,3,5,6,7,1] => [1,7,6,5,3,2,4,8] => [1,3,5,2,6,7,4,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [7,4,2,3,5,6,8,1] => [1,8,6,5,3,2,4,7] => [1,3,5,2,6,8,4,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [6,4,2,3,5,7,8,1] => [1,8,7,5,3,2,4,6] => [1,3,5,2,7,4,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [5,4,2,3,6,7,8,1] => [1,8,7,6,3,2,4,5] => [1,3,6,2,4,7,8,5] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [4,5,2,3,6,7,8,1] => [1,8,7,6,3,2,5,4] => [1,3,5,6,2,7,8,4] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [8,3,2,4,5,6,7,1] => [1,7,6,5,4,2,3,8] => [1,4,2,5,6,7,3,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [7,3,2,4,5,6,8,1] => [1,8,6,5,4,2,3,7] => [1,4,2,5,6,8,3,7] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [4,3,2,5,6,7,8,1] => [1,8,7,6,5,2,3,4] => [1,5,2,3,6,7,8,4] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [3,4,2,5,6,7,8,1] => [1,8,7,6,5,2,4,3] => [1,4,5,2,6,7,8,3] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [8,2,3,4,5,6,7,1] => [1,7,6,5,4,3,2,8] => [1,3,4,5,6,7,2,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [7,2,3,4,5,6,8,1] => [1,8,6,5,4,3,2,7] => [1,3,4,5,6,8,2,7] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [3,2,4,5,6,7,8,1] => [1,8,7,6,5,4,2,3] => [1,4,2,5,6,7,8,3] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,2] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [7,8,6,5,4,3,1,2] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [8,6,7,5,4,3,1,2] => [2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [7,6,8,5,4,3,1,2] => [2,1,3,4,5,8,6,7] => [2,1,3,4,5,8,6,7] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [6,7,8,5,4,3,1,2] => [2,1,3,4,5,8,7,6] => [2,1,3,4,5,7,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [8,7,5,6,4,3,1,2] => [2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [7,8,5,6,4,3,1,2] => [2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [8,6,5,7,4,3,1,2] => [2,1,3,4,7,5,6,8] => [2,1,3,4,7,5,6,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [7,6,5,8,4,3,1,2] => [2,1,3,4,8,5,6,7] => [2,1,3,4,8,5,6,7] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [6,7,5,8,4,3,1,2] => [2,1,3,4,8,5,7,6] => [2,1,3,4,7,8,5,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [6,5,7,8,4,3,1,2] => [2,1,3,4,8,7,5,6] => [2,1,3,4,7,5,8,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [5,6,7,8,4,3,1,2] => [2,1,3,4,8,7,6,5] => [2,1,3,4,6,7,8,5] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [8,7,6,4,5,3,1,2] => [2,1,3,5,4,6,7,8] => [2,1,3,5,4,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [7,8,6,4,5,3,1,2] => [2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [6,7,8,4,5,3,1,2] => [2,1,3,5,4,8,7,6] => [2,1,3,5,4,7,8,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [8,7,5,4,6,3,1,2] => [2,1,3,6,4,5,7,8] => [2,1,3,6,4,5,7,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [7,8,5,4,6,3,1,2] => [2,1,3,6,4,5,8,7] => [2,1,3,6,4,5,8,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [7,6,5,4,8,3,1,2] => [2,1,3,8,4,5,6,7] => [2,1,3,8,4,5,6,7] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [6,7,5,4,8,3,1,2] => [2,1,3,8,4,5,7,6] => [2,1,3,7,4,8,5,6] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [6,5,7,4,8,3,1,2] => [2,1,3,8,4,7,5,6] => [2,1,3,7,8,4,5,6] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [5,6,7,4,8,3,1,2] => [2,1,3,8,4,7,6,5] => [2,1,3,6,7,8,4,5] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [7,8,4,5,6,3,1,2] => [2,1,3,6,5,4,8,7] => [2,1,3,5,6,4,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [7,6,4,5,8,3,1,2] => [2,1,3,8,5,4,6,7] => [2,1,3,5,8,4,6,7] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [7,5,4,6,8,3,1,2] => [2,1,3,8,6,4,5,7] => [2,1,3,6,4,8,5,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [5,6,4,7,8,3,1,2] => [2,1,3,8,7,4,6,5] => [2,1,3,6,7,4,8,5] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [7,4,5,6,8,3,1,2] => [2,1,3,8,6,5,4,7] => [2,1,3,5,6,8,4,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,3,1,2] => [2,1,3,8,7,6,5,4] => [2,1,3,5,6,7,8,4] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,3,4,1,2] => [2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,3,4,1,2] => [2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,3,4,1,2] => [2,1,4,3,5,8,6,7] => [2,1,4,3,5,8,6,7] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,3,4,1,2] => [2,1,4,3,5,8,7,6] => [2,1,4,3,5,7,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,3,4,1,2] => [2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,3,4,1,2] => [2,1,4,3,8,5,6,7] => [2,1,4,3,8,5,6,7] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,3,4,1,2] => [2,1,4,3,8,5,7,6] => [2,1,4,3,7,8,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,3,4,1,2] => [2,1,4,3,8,6,5,7] => [2,1,4,3,6,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,3,4,1,2] => [2,1,4,3,8,7,5,6] => [2,1,4,3,7,5,8,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,3,4,1,2] => [2,1,4,3,8,7,6,5] => [2,1,4,3,6,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,3,5,1,2] => [2,1,5,3,4,6,7,8] => [2,1,5,3,4,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,3,5,1,2] => [2,1,5,3,4,6,8,7] => [2,1,5,3,4,6,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,3,6,1,2] => [2,1,6,3,4,5,8,7] => [2,1,6,3,4,5,8,7] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,3,7,1,2] => [2,1,7,3,4,5,6,8] => [2,1,7,3,4,5,6,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,3,8,1,2] => [2,1,8,3,4,5,6,7] => [2,1,8,3,4,5,6,7] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,3,8,1,2] => [2,1,8,3,4,7,5,6] => [2,1,7,3,8,4,5,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,3,8,1,2] => [2,1,8,3,4,7,6,5] => [2,1,6,3,7,8,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,3,6,1,2] => [2,1,6,3,5,4,8,7] => [2,1,5,6,3,4,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,3,8,1,2] => [2,1,8,3,5,4,7,6] => [2,1,5,7,3,8,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,3,8,1,2] => [2,1,8,3,6,4,5,7] => [2,1,6,8,3,4,5,7] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,3,8,1,2] => [2,1,8,3,7,4,5,6] => [2,1,7,8,3,4,5,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,3,8,1,2] => [2,1,8,3,7,4,6,5] => [2,1,6,7,8,3,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,3,8,1,2] => [2,1,8,3,7,5,4,6] => [2,1,5,7,8,3,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,3,8,1,2] => [2,1,8,3,7,6,5,4] => [2,1,5,6,7,8,3,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,4,5,1,2] => [2,1,5,4,3,6,7,8] => [2,1,4,5,3,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [7,8,6,3,4,5,1,2] => [2,1,5,4,3,6,8,7] => [2,1,4,5,3,6,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,4,6,1,2] => [2,1,6,4,3,5,7,8] => [2,1,4,6,3,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,4,6,1,2] => [2,1,6,4,3,5,8,7] => [2,1,4,6,3,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,4,8,1,2] => [2,1,8,4,3,6,5,7] => [2,1,4,6,8,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,4,8,1,2] => [2,1,8,4,3,7,5,6] => [2,1,4,7,8,3,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,4,8,1,2] => [2,1,8,4,3,7,6,5] => [2,1,4,6,7,8,3,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,5,6,1,2] => [2,1,6,5,3,4,8,7] => [2,1,5,3,6,4,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,5,8,1,2] => [2,1,8,5,3,4,6,7] => [2,1,5,3,8,4,6,7] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,5,8,1,2] => [2,1,8,5,3,4,7,6] => [2,1,5,3,7,8,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,7,8,1,2] => [2,1,8,7,3,4,5,6] => [2,1,7,3,4,5,8,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,7,8,1,2] => [2,1,8,7,3,4,6,5] => [2,1,6,3,7,4,8,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,7,8,1,2] => [2,1,8,7,3,5,4,6] => [2,1,5,7,3,4,8,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,7,8,1,2] => [2,1,8,7,3,6,4,5] => [2,1,6,7,3,4,8,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,7,8,1,2] => [2,1,8,7,3,6,5,4] => [2,1,5,6,7,3,8,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,5,6,1,2] => [2,1,6,5,4,3,8,7] => [2,1,4,5,6,3,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,5,8,1,2] => [2,1,8,5,4,3,6,7] => [2,1,4,5,8,3,6,7] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,5,8,1,2] => [2,1,8,5,4,3,7,6] => [2,1,4,5,7,8,3,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,6,8,1,2] => [2,1,8,6,4,3,5,7] => [2,1,4,6,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,7,8,1,2] => [2,1,8,7,4,3,5,6] => [2,1,4,7,3,5,8,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,7,8,1,2] => [2,1,8,7,4,3,6,5] => [2,1,4,6,7,3,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,6,7,1,2] => [2,1,7,6,5,3,4,8] => [2,1,5,3,6,7,4,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,7,8,1,2] => [2,1,8,7,5,3,4,6] => [2,1,5,3,7,4,8,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,7,8,1,2] => [2,1,8,7,6,3,4,5] => [2,1,6,3,4,7,8,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,7,8,1,2] => [2,1,8,7,6,3,5,4] => [2,1,5,6,3,7,8,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,6,7,1,2] => [2,1,7,6,5,4,3,8] => [2,1,4,5,6,7,3,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,6,8,1,2] => [2,1,8,6,5,4,3,7] => [2,1,4,5,6,8,3,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,7,8,1,2] => [2,1,8,7,5,4,3,6] => [2,1,4,5,7,3,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [5,3,4,6,7,8,1,2] => [2,1,8,7,6,4,3,5] => [2,1,4,6,3,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,7,8,1,2] => [2,1,8,7,6,5,3,4] => [2,1,5,3,6,7,8,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,8,1,2] => [2,1,8,7,6,5,4,3] => [2,1,4,5,6,7,8,3] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [8,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [7,8,6,5,4,2,1,3] => [3,1,2,4,5,6,8,7] => [3,1,2,4,5,6,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [8,6,7,5,4,2,1,3] => [3,1,2,4,5,7,6,8] => [3,1,2,4,5,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [7,6,8,5,4,2,1,3] => [3,1,2,4,5,8,6,7] => [3,1,2,4,5,8,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [7,8,5,6,4,2,1,3] => [3,1,2,4,6,5,8,7] => [3,1,2,4,6,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [8,6,5,7,4,2,1,3] => [3,1,2,4,7,5,6,8] => [3,1,2,4,7,5,6,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [7,6,5,8,4,2,1,3] => [3,1,2,4,8,5,6,7] => [3,1,2,4,8,5,6,7] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [6,7,5,8,4,2,1,3] => [3,1,2,4,8,5,7,6] => [3,1,2,4,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [7,5,6,8,4,2,1,3] => [3,1,2,4,8,6,5,7] => [3,1,2,4,6,8,5,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [6,5,7,8,4,2,1,3] => [3,1,2,4,8,7,5,6] => [3,1,2,4,7,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [5,6,7,8,4,2,1,3] => [3,1,2,4,8,7,6,5] => [3,1,2,4,6,7,8,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [7,8,6,4,5,2,1,3] => [3,1,2,5,4,6,8,7] => [3,1,2,5,4,6,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [8,6,7,4,5,2,1,3] => [3,1,2,5,4,7,6,8] => [3,1,2,5,4,7,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [7,8,5,4,6,2,1,3] => [3,1,2,6,4,5,8,7] => [3,1,2,6,4,5,8,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [8,6,5,4,7,2,1,3] => [3,1,2,7,4,5,6,8] => [3,1,2,7,4,5,6,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [7,6,5,4,8,2,1,3] => [3,1,2,8,4,5,6,7] => [3,1,2,8,4,5,6,7] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [6,7,5,4,8,2,1,3] => [3,1,2,8,4,5,7,6] => [3,1,2,7,4,8,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [6,5,7,4,8,2,1,3] => [3,1,2,8,4,7,5,6] => [3,1,2,7,8,4,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [8,6,4,5,7,2,1,3] => [3,1,2,7,5,4,6,8] => [3,1,2,5,7,4,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [8,5,4,6,7,2,1,3] => [3,1,2,7,6,4,5,8] => [3,1,2,6,4,7,5,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [7,4,5,6,8,2,1,3] => [3,1,2,8,6,5,4,7] => [3,1,2,5,6,8,4,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [6,4,5,7,8,2,1,3] => [3,1,2,8,7,5,4,6] => [3,1,2,5,7,4,8,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [5,4,6,7,8,2,1,3] => [3,1,2,8,7,6,4,5] => [3,1,2,6,4,7,8,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,2,1,3] => [3,1,2,8,7,6,5,4] => [3,1,2,5,6,7,8,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,3,2,1,4] => [4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,3,2,1,4] => [4,1,2,3,5,6,8,7] => [4,1,2,3,5,6,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,3,2,1,4] => [4,1,2,3,5,7,6,8] => [4,1,2,3,5,7,6,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,3,2,1,4] => [4,1,2,3,5,8,6,7] => [4,1,2,3,5,8,6,7] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,3,2,1,4] => [4,1,2,3,5,8,7,6] => [4,1,2,3,5,7,8,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,3,2,1,4] => [4,1,2,3,6,5,7,8] => [4,1,2,3,6,5,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,3,2,1,4] => [4,1,2,3,6,5,8,7] => [4,1,2,3,6,5,8,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,3,2,1,4] => [4,1,2,3,7,5,6,8] => [4,1,2,3,7,5,6,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,3,2,1,4] => [4,1,2,3,8,5,6,7] => [4,1,2,3,8,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,3,2,1,4] => [4,1,2,3,8,5,7,6] => [4,1,2,3,7,8,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [8,5,6,7,3,2,1,4] => [4,1,2,3,7,6,5,8] => [4,1,2,3,6,7,5,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,3,2,1,4] => [4,1,2,3,8,6,5,7] => [4,1,2,3,6,8,5,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,3,2,1,4] => [4,1,2,3,8,7,5,6] => [4,1,2,3,7,5,8,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,3,2,1,4] => [4,1,2,3,8,7,6,5] => [4,1,2,3,6,7,8,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,3,2,1,5] => [5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,3,2,1,5] => [5,1,2,3,4,6,8,7] => [5,1,2,3,4,6,8,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,3,2,1,5] => [5,1,2,3,4,8,6,7] => [5,1,2,3,4,8,6,7] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,3,2,1,5] => [5,1,2,3,4,8,7,6] => [5,1,2,3,4,7,8,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,3,2,1,6] => [6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,3,2,1,6] => [6,1,2,3,4,5,8,7] => [6,1,2,3,4,5,8,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,3,2,1,8] => [8,1,2,3,4,5,7,6] => [7,1,2,3,4,8,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [8,5,6,4,3,2,1,7] => [7,1,2,3,4,6,5,8] => [6,1,2,3,7,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,3,2,1,8] => [8,1,2,3,4,6,5,7] => [6,1,2,3,8,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,3,2,1,8] => [8,1,2,3,4,7,5,6] => [7,1,2,3,8,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,3,2,1,8] => [8,1,2,3,4,7,6,5] => [6,1,2,3,7,8,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,3,2,1,6] => [6,1,2,3,5,4,7,8] => [5,1,2,6,3,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,3,2,1,7] => [7,1,2,3,5,4,6,8] => [5,1,2,7,3,4,6,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,3,2,1,8] => [8,1,2,3,5,4,6,7] => [5,1,2,8,3,4,6,7] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,3,2,1,8] => [8,1,2,3,5,4,7,6] => [5,1,2,7,3,8,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [8,5,4,6,3,2,1,7] => [7,1,2,3,6,4,5,8] => [6,1,2,7,3,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,3,2,1,8] => [8,1,2,3,6,4,5,7] => [6,1,2,8,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,3,2,1,8] => [8,1,2,3,7,4,5,6] => [7,1,2,8,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [8,4,5,6,3,2,1,7] => [7,1,2,3,6,5,4,8] => [5,1,2,6,7,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,3,2,1,8] => [8,1,2,3,6,5,4,7] => [5,1,2,6,8,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,3,2,1,8] => [8,1,2,3,7,5,4,6] => [5,1,2,7,8,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,3,2,1,8] => [8,1,2,3,7,6,5,4] => [5,1,2,6,7,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,4,2,1,5] => [5,1,2,4,3,6,7,8] => [4,1,5,2,3,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,4,2,1,5] => [5,1,2,4,3,7,6,8] => [4,1,5,2,3,7,6,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,4,2,1,5] => [5,1,2,4,3,8,7,6] => [4,1,5,2,3,7,8,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,4,2,1,6] => [6,1,2,4,3,5,7,8] => [4,1,6,2,3,5,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,4,2,1,6] => [6,1,2,4,3,5,8,7] => [4,1,6,2,3,5,8,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,4,2,1,7] => [7,1,2,4,3,5,6,8] => [4,1,7,2,3,5,6,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,4,2,1,8] => [8,1,2,4,3,5,6,7] => [4,1,8,2,3,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,4,2,1,8] => [8,1,2,4,3,5,7,6] => [4,1,7,2,3,8,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,4,2,1,8] => [8,1,2,4,3,6,5,7] => [4,1,6,2,8,3,5,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,5,2,1,6] => [6,1,2,5,3,4,7,8] => [5,1,6,2,3,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [8,6,4,3,5,2,1,7] => [7,1,2,5,3,4,6,8] => [5,1,7,2,3,4,6,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,5,2,1,8] => [8,1,2,5,3,4,6,7] => [5,1,8,2,3,4,6,7] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [6,7,4,3,5,2,1,8] => [8,1,2,5,3,4,7,6] => [5,1,7,2,3,8,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,6,2,1,7] => [7,1,2,6,3,4,5,8] => [6,1,7,2,3,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,6,2,1,8] => [8,1,2,6,3,4,5,7] => [6,1,8,2,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,7,2,1,8] => [8,1,2,7,3,4,5,6] => [7,1,8,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,7,2,1,8] => [8,1,2,7,3,4,6,5] => [6,1,7,2,8,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,7,2,1,8] => [8,1,2,7,3,5,4,6] => [5,1,7,8,2,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,7,2,1,8] => [8,1,2,7,3,6,4,5] => [6,1,7,8,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,7,2,1,8] => [8,1,2,7,3,6,5,4] => [5,1,6,7,8,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [8,7,3,4,5,2,1,6] => [6,1,2,5,4,3,7,8] => [4,1,5,6,2,3,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,5,2,1,6] => [6,1,2,5,4,3,8,7] => [4,1,5,6,2,3,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [8,5,3,4,6,2,1,7] => [7,1,2,6,4,3,5,8] => [4,1,6,7,2,3,5,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,7,2,1,8] => [8,1,2,7,4,3,6,5] => [4,1,6,7,8,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,6,2,1,7] => [7,1,2,6,5,3,4,8] => [5,1,6,2,7,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,6,2,1,8] => [8,1,2,6,5,3,4,7] => [5,1,6,2,8,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,7,2,1,8] => [8,1,2,7,6,3,4,5] => [6,1,7,2,3,8,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,7,2,1,8] => [8,1,2,7,6,3,5,4] => [5,1,6,7,2,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,6,2,1,7] => [7,1,2,6,5,4,3,8] => [4,1,5,6,7,2,3,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,6,2,1,8] => [8,1,2,6,5,4,3,7] => [4,1,5,6,8,2,3,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,2,1,8] => [8,1,2,7,6,5,4,3] => [4,1,5,6,7,8,2,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,2,3,1,4] => [4,1,3,2,5,6,7,8] => [3,4,1,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,2,3,1,4] => [4,1,3,2,5,7,6,8] => [3,4,1,2,5,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,2,3,1,4] => [4,1,3,2,6,5,8,7] => [3,4,1,2,6,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,2,3,1,4] => [4,1,3,2,8,5,6,7] => [3,4,1,2,8,5,6,7] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,2,3,1,4] => [4,1,3,2,8,5,7,6] => [3,4,1,2,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,2,3,1,4] => [4,1,3,2,8,6,5,7] => [3,4,1,2,6,8,5,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,2,3,1,4] => [4,1,3,2,8,7,5,6] => [3,4,1,2,7,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,2,3,1,4] => [4,1,3,2,8,7,6,5] => [3,4,1,2,6,7,8,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,2,3,1,5] => [5,1,3,2,4,6,7,8] => [3,5,1,2,4,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [7,8,6,4,2,3,1,5] => [5,1,3,2,4,6,8,7] => [3,5,1,2,4,6,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,2,3,1,5] => [5,1,3,2,4,7,6,8] => [3,5,1,2,4,7,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,2,3,1,5] => [5,1,3,2,4,8,6,7] => [3,5,1,2,4,8,6,7] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [6,7,8,4,2,3,1,5] => [5,1,3,2,4,8,7,6] => [3,5,1,2,4,7,8,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,2,3,1,6] => [6,1,3,2,4,5,8,7] => [3,6,1,2,4,5,8,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,2,3,1,7] => [7,1,3,2,4,5,6,8] => [3,7,1,2,4,5,6,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,2,3,1,8] => [8,1,3,2,4,5,6,7] => [3,8,1,2,4,5,6,7] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,2,3,1,8] => [8,1,3,2,4,5,7,6] => [3,7,1,2,4,8,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,2,3,1,8] => [8,1,3,2,4,6,5,7] => [3,6,1,2,8,4,5,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,2,3,1,8] => [8,1,3,2,4,7,6,5] => [3,6,1,2,7,8,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,2,3,1,6] => [6,1,3,2,5,4,8,7] => [3,5,1,6,2,4,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,2,3,1,7] => [7,1,3,2,5,4,6,8] => [3,5,1,7,2,4,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,2,3,1,8] => [8,1,3,2,5,4,6,7] => [3,5,1,8,2,4,6,7] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,2,3,1,8] => [8,1,3,2,5,4,7,6] => [3,5,1,7,2,8,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,2,3,1,8] => [8,1,3,2,7,4,6,5] => [3,6,1,7,8,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,2,3,1,8] => [8,1,3,2,6,5,4,7] => [3,5,1,6,8,2,4,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [6,4,5,7,2,3,1,8] => [8,1,3,2,7,5,4,6] => [3,5,1,7,8,2,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,2,3,1,8] => [8,1,3,2,7,6,5,4] => [3,5,1,6,7,8,2,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,2,4,1,5] => [5,1,4,2,3,6,7,8] => [4,5,1,2,3,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,2,4,1,5] => [5,1,4,2,3,8,6,7] => [4,5,1,2,3,8,6,7] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,2,4,1,6] => [6,1,4,2,3,5,7,8] => [4,6,1,2,3,5,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,2,4,1,6] => [6,1,4,2,3,5,8,7] => [4,6,1,2,3,5,8,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [8,6,5,3,2,4,1,7] => [7,1,4,2,3,5,6,8] => [4,7,1,2,3,5,6,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,2,4,1,8] => [8,1,4,2,3,5,6,7] => [4,8,1,2,3,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,2,4,1,8] => [8,1,4,2,3,5,7,6] => [4,7,1,2,3,8,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,2,4,1,8] => [8,1,4,2,3,6,5,7] => [4,6,1,2,8,3,5,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,2,4,1,8] => [8,1,4,2,3,7,5,6] => [4,7,1,2,8,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,2,4,1,8] => [8,1,4,2,3,7,6,5] => [4,6,1,2,7,8,3,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,2,5,1,6] => [6,1,5,2,3,4,8,7] => [5,6,1,2,3,4,8,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,2,5,1,8] => [8,1,5,2,3,4,6,7] => [5,8,1,2,3,4,6,7] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [8,5,4,3,2,6,1,7] => [7,1,6,2,3,4,5,8] => [6,7,1,2,3,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,2,6,1,8] => [8,1,6,2,3,4,5,7] => [6,8,1,2,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,2,7,1,8] => [8,1,7,2,3,4,5,6] => [7,8,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [7,4,5,3,2,6,1,8] => [8,1,6,2,3,5,4,7] => [5,6,1,8,2,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,2,7,1,8] => [8,1,7,2,3,6,4,5] => [6,7,1,8,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,2,7,1,8] => [8,1,7,2,3,6,5,4] => [5,6,1,7,8,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,2,5,1,6] => [6,1,5,2,4,3,8,7] => [4,5,6,1,2,3,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,2,5,1,8] => [8,1,5,2,4,3,7,6] => [4,5,7,1,2,8,3,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,2,6,1,8] => [8,1,6,2,4,3,5,7] => [4,6,8,1,2,3,5,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,2,7,1,8] => [8,1,7,2,4,3,5,6] => [4,7,8,1,2,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,2,7,1,8] => [8,1,7,2,4,3,6,5] => [4,6,7,1,8,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,2,6,1,7] => [7,1,6,2,5,3,4,8] => [5,6,7,1,2,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,2,7,1,8] => [8,1,7,2,5,3,4,6] => [5,7,8,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,2,7,1,8] => [8,1,7,2,6,3,4,5] => [6,7,8,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,2,7,1,8] => [8,1,7,2,6,3,5,4] => [5,6,7,8,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,2,6,1,7] => [7,1,6,2,5,4,3,8] => [4,5,6,7,1,2,3,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,2,7,1,8] => [8,1,7,2,5,4,3,6] => [4,5,7,8,1,2,3,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [5,3,4,6,2,7,1,8] => [8,1,7,2,6,4,3,5] => [4,6,7,8,1,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,2,7,1,8] => [8,1,7,2,6,5,4,3] => [4,5,6,7,8,1,2,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [8,7,6,2,3,4,1,5] => [5,1,4,3,2,6,7,8] => [3,4,5,1,2,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [7,8,6,2,3,4,1,5] => [5,1,4,3,2,6,8,7] => [3,4,5,1,2,6,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [6,7,8,2,3,4,1,5] => [5,1,4,3,2,8,7,6] => [3,4,5,1,2,7,8,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [7,6,5,2,3,4,1,8] => [8,1,4,3,2,5,6,7] => [3,4,8,1,2,5,6,7] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [6,5,7,2,3,4,1,8] => [8,1,4,3,2,7,5,6] => [3,4,7,1,8,2,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [5,6,7,2,3,4,1,8] => [8,1,4,3,2,7,6,5] => [3,4,6,1,7,8,2,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,3,5,1,7] => [7,1,5,3,2,4,6,8] => [3,5,7,1,2,4,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [7,5,4,2,3,6,1,8] => [8,1,6,3,2,4,5,7] => [3,6,8,1,2,4,5,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [6,5,4,2,3,7,1,8] => [8,1,7,3,2,4,5,6] => [3,7,8,1,2,4,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [8,4,5,2,3,6,1,7] => [7,1,6,3,2,5,4,8] => [3,5,6,7,1,2,4,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [7,4,5,2,3,6,1,8] => [8,1,6,3,2,5,4,7] => [3,5,6,8,1,2,4,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [6,4,5,2,3,7,1,8] => [8,1,7,3,2,5,4,6] => [3,5,7,8,1,2,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [5,4,6,2,3,7,1,8] => [8,1,7,3,2,6,4,5] => [3,6,7,8,1,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [4,5,6,2,3,7,1,8] => [8,1,7,3,2,6,5,4] => [3,5,6,7,8,1,2,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [7,8,3,2,4,5,1,6] => [6,1,5,4,2,3,8,7] => [4,5,1,6,2,3,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [7,6,3,2,4,5,1,8] => [8,1,5,4,2,3,6,7] => [4,5,1,8,2,3,6,7] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [8,5,3,2,4,6,1,7] => [7,1,6,4,2,3,5,8] => [4,6,1,7,2,3,5,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [7,5,3,2,4,6,1,8] => [8,1,6,4,2,3,5,7] => [4,6,1,8,2,3,5,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [6,5,3,2,4,7,1,8] => [8,1,7,4,2,3,5,6] => [4,7,1,8,2,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,6,3,2,4,7,1,8] => [8,1,7,4,2,3,6,5] => [4,6,1,7,8,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [7,4,3,2,5,6,1,8] => [8,1,6,5,2,3,4,7] => [5,6,1,2,8,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,4,3,2,6,7,1,8] => [8,1,7,6,2,3,4,5] => [6,7,1,2,3,8,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [8,3,4,2,5,6,1,7] => [7,1,6,5,2,4,3,8] => [4,5,6,1,7,2,3,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,3,4,2,6,7,1,8] => [8,1,7,6,2,4,3,5] => [4,6,7,1,2,8,3,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [3,4,5,2,6,7,1,8] => [8,1,7,6,2,5,4,3] => [4,5,6,7,1,8,2,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [7,8,2,3,4,5,1,6] => [6,1,5,4,3,2,8,7] => [3,4,5,6,1,2,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [7,6,2,3,4,5,1,8] => [8,1,5,4,3,2,6,7] => [3,4,5,8,1,2,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [6,7,2,3,4,5,1,8] => [8,1,5,4,3,2,7,6] => [3,4,5,7,1,8,2,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [5,6,2,3,4,7,1,8] => [8,1,7,4,3,2,6,5] => [3,4,6,7,8,1,2,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [8,4,2,3,5,6,1,7] => [7,1,6,5,3,2,4,8] => [3,5,6,1,7,2,4,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [5,4,2,3,6,7,1,8] => [8,1,7,6,3,2,4,5] => [3,6,7,1,2,8,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [8,3,2,4,5,6,1,7] => [7,1,6,5,4,2,3,8] => [4,5,1,6,7,2,3,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,3,2,4,5,7,1,8] => [8,1,7,5,4,2,3,6] => [4,5,1,7,8,2,3,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [5,3,2,4,6,7,1,8] => [8,1,7,6,4,2,3,5] => [4,6,1,7,2,8,3,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [4,3,2,5,6,7,1,8] => [8,1,7,6,5,2,3,4] => [5,6,1,2,7,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [3,4,2,5,6,7,1,8] => [8,1,7,6,5,2,4,3] => [4,5,6,1,7,8,2,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [8,2,3,4,5,6,1,7] => [7,1,6,5,4,3,2,8] => [3,4,5,6,7,1,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [7,2,3,4,5,6,1,8] => [8,1,6,5,4,3,2,7] => [3,4,5,6,8,1,2,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,2,3,4,5,7,1,8] => [8,1,7,5,4,3,2,6] => [3,4,5,7,8,1,2,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [5,2,3,4,6,7,1,8] => [8,1,7,6,4,3,2,5] => [3,4,6,7,1,8,2,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [4,2,3,5,6,7,1,8] => [8,1,7,6,5,3,2,4] => [3,5,6,1,7,8,2,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [3,2,4,5,6,7,1,8] => [8,1,7,6,5,4,2,3] => [4,5,1,6,7,8,2,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,6,7,1,8] => [8,1,7,6,5,4,3,2] => [3,4,5,6,7,8,1,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [8,7,6,5,4,1,2,3] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [7,8,6,5,4,1,2,3] => [3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [8,6,7,5,4,1,2,3] => [3,2,1,4,5,7,6,8] => [2,3,1,4,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [7,6,8,5,4,1,2,3] => [3,2,1,4,5,8,6,7] => [2,3,1,4,5,8,6,7] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [6,7,8,5,4,1,2,3] => [3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [7,6,5,8,4,1,2,3] => [3,2,1,4,8,5,6,7] => [2,3,1,4,8,5,6,7] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [6,7,5,8,4,1,2,3] => [3,2,1,4,8,5,7,6] => [2,3,1,4,7,8,5,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [8,5,6,7,4,1,2,3] => [3,2,1,4,7,6,5,8] => [2,3,1,4,6,7,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [5,6,7,8,4,1,2,3] => [3,2,1,4,8,7,6,5] => [2,3,1,4,6,7,8,5] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [8,7,6,4,5,1,2,3] => [3,2,1,5,4,6,7,8] => [2,3,1,5,4,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [8,6,7,4,5,1,2,3] => [3,2,1,5,4,7,6,8] => [2,3,1,5,4,7,6,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [8,7,5,4,6,1,2,3] => [3,2,1,6,4,5,7,8] => [2,3,1,6,4,5,7,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [7,6,5,4,8,1,2,3] => [3,2,1,8,4,5,6,7] => [2,3,1,8,4,5,6,7] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [6,7,5,4,8,1,2,3] => [3,2,1,8,4,5,7,6] => [2,3,1,7,4,8,5,6] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [7,5,6,4,8,1,2,3] => [3,2,1,8,4,6,5,7] => [2,3,1,6,8,4,5,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [6,5,7,4,8,1,2,3] => [3,2,1,8,4,7,5,6] => [2,3,1,7,8,4,5,6] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [5,6,7,4,8,1,2,3] => [3,2,1,8,4,7,6,5] => [2,3,1,6,7,8,4,5] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [8,7,4,5,6,1,2,3] => [3,2,1,6,5,4,7,8] => [2,3,1,5,6,4,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [6,7,4,5,8,1,2,3] => [3,2,1,8,5,4,7,6] => [2,3,1,5,7,8,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [8,5,4,6,7,1,2,3] => [3,2,1,7,6,4,5,8] => [2,3,1,6,4,7,5,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5,4,6,8,1,2,3] => [3,2,1,8,6,4,5,7] => [2,3,1,6,4,8,5,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [6,5,4,7,8,1,2,3] => [3,2,1,8,7,4,5,6] => [2,3,1,7,4,5,8,6] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [8,4,5,6,7,1,2,3] => [3,2,1,7,6,5,4,8] => [2,3,1,5,6,7,4,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [7,4,5,6,8,1,2,3] => [3,2,1,8,6,5,4,7] => [2,3,1,5,6,8,4,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5,6,7,8,1,2,3] => [3,2,1,8,7,6,5,4] => [2,3,1,5,6,7,8,4] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,3,1,2,4] => [4,2,1,3,5,6,7,8] => [2,4,1,3,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,3,1,2,4] => [4,2,1,3,5,8,7,6] => [2,4,1,3,5,7,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,3,1,2,4] => [4,2,1,3,6,5,7,8] => [2,4,1,3,6,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,3,1,2,4] => [4,2,1,3,6,5,8,7] => [2,4,1,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,3,1,2,4] => [4,2,1,3,8,5,6,7] => [2,4,1,3,8,5,6,7] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,3,1,2,4] => [4,2,1,3,8,5,7,6] => [2,4,1,3,7,8,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,3,1,2,4] => [4,2,1,3,8,6,5,7] => [2,4,1,3,6,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,3,1,2,4] => [4,2,1,3,8,7,5,6] => [2,4,1,3,7,5,8,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,3,1,2,4] => [4,2,1,3,8,7,6,5] => [2,4,1,3,6,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,3,1,2,5] => [5,2,1,3,4,6,7,8] => [2,5,1,3,4,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,3,1,2,6] => [6,2,1,3,4,5,7,8] => [2,6,1,3,4,5,7,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,3,1,2,7] => [7,2,1,3,4,5,6,8] => [2,7,1,3,4,5,6,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,3,1,2,8] => [8,2,1,3,4,5,6,7] => [2,8,1,3,4,5,6,7] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,3,1,2,8] => [8,2,1,3,4,6,5,7] => [2,6,1,3,8,4,5,7] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,3,1,2,8] => [8,2,1,3,4,7,5,6] => [2,7,1,3,8,4,5,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,3,1,2,8] => [8,2,1,3,6,4,5,7] => [2,6,1,8,3,4,5,7] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,3,1,2,8] => [8,2,1,3,7,4,6,5] => [2,6,1,7,8,3,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,3,1,2,8] => [8,2,1,3,6,5,4,7] => [2,5,1,6,8,3,4,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,3,1,2,8] => [8,2,1,3,7,6,4,5] => [2,6,1,7,3,8,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,3,1,2,8] => [8,2,1,3,7,6,5,4] => [2,5,1,6,7,8,3,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,4,1,2,5] => [5,2,1,4,3,6,7,8] => [2,4,5,1,3,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [8,6,7,3,4,1,2,5] => [5,2,1,4,3,7,6,8] => [2,4,5,1,3,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,4,1,2,5] => [5,2,1,4,3,8,7,6] => [2,4,5,1,3,7,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,4,1,2,6] => [6,2,1,4,3,5,7,8] => [2,4,6,1,3,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,4,1,2,6] => [6,2,1,4,3,5,8,7] => [2,4,6,1,3,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,4,1,2,8] => [8,2,1,4,3,6,5,7] => [2,4,6,1,8,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,4,1,2,8] => [8,2,1,4,3,7,5,6] => [2,4,7,1,8,3,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,5,1,2,6] => [6,2,1,5,3,4,8,7] => [2,5,6,1,3,4,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,6,1,2,8] => [8,2,1,6,3,4,5,7] => [2,6,8,1,3,4,5,7] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,7,1,2,8] => [8,2,1,7,3,4,5,6] => [2,7,8,1,3,4,5,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,7,1,2,8] => [8,2,1,7,3,5,4,6] => [2,5,7,8,1,3,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [8,7,3,4,5,1,2,6] => [6,2,1,5,4,3,7,8] => [2,4,5,6,1,3,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,5,1,2,6] => [6,2,1,5,4,3,8,7] => [2,4,5,6,1,3,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,5,1,2,8] => [8,2,1,5,4,3,7,6] => [2,4,5,7,1,8,3,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,6,1,2,8] => [8,2,1,6,4,3,5,7] => [2,4,6,8,1,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,7,1,2,8] => [8,2,1,7,4,3,5,6] => [2,4,7,8,1,3,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,7,1,2,8] => [8,2,1,7,4,3,6,5] => [2,4,6,7,8,1,3,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [8,4,3,5,6,1,2,7] => [7,2,1,6,5,3,4,8] => [2,5,6,1,7,3,4,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,7,1,2,8] => [8,2,1,7,5,3,4,6] => [2,5,7,1,8,3,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,7,1,2,8] => [8,2,1,7,6,3,4,5] => [2,6,7,1,3,8,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [4,5,3,6,7,1,2,8] => [8,2,1,7,6,3,5,4] => [2,5,6,7,1,8,3,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,6,1,2,7] => [7,2,1,6,5,4,3,8] => [2,4,5,6,7,1,3,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [6,3,4,5,7,1,2,8] => [8,2,1,7,5,4,3,6] => [2,4,5,7,8,1,3,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,7,1,2,8] => [8,2,1,7,6,5,3,4] => [2,5,6,1,7,8,3,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,1,2,8] => [8,2,1,7,6,5,4,3] => [2,4,5,6,7,8,1,3] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,2,1,3,4] => [4,3,1,2,5,6,7,8] => [3,1,4,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,2,1,3,4] => [4,3,1,2,5,8,7,6] => [3,1,4,2,5,7,8,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,2,1,3,4] => [4,3,1,2,6,5,7,8] => [3,1,4,2,6,5,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,2,1,3,4] => [4,3,1,2,6,5,8,7] => [3,1,4,2,6,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,2,1,3,4] => [4,3,1,2,8,5,6,7] => [3,1,4,2,8,5,6,7] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,2,1,3,4] => [4,3,1,2,8,5,7,6] => [3,1,4,2,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,2,1,3,4] => [4,3,1,2,8,6,5,7] => [3,1,4,2,6,8,5,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,2,1,3,4] => [4,3,1,2,8,7,5,6] => [3,1,4,2,7,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,2,1,3,4] => [4,3,1,2,8,7,6,5] => [3,1,4,2,6,7,8,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,2,1,3,5] => [5,3,1,2,4,7,6,8] => [3,1,5,2,4,7,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,2,1,3,5] => [5,3,1,2,4,8,6,7] => [3,1,5,2,4,8,6,7] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,2,1,3,6] => [6,3,1,2,4,5,7,8] => [3,1,6,2,4,5,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,2,1,3,6] => [6,3,1,2,4,5,8,7] => [3,1,6,2,4,5,8,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,2,1,3,7] => [7,3,1,2,4,5,6,8] => [3,1,7,2,4,5,6,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,2,1,3,8] => [8,3,1,2,4,5,6,7] => [3,1,8,2,4,5,6,7] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,2,1,3,8] => [8,3,1,2,4,6,5,7] => [3,1,6,2,8,4,5,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [6,5,7,4,2,1,3,8] => [8,3,1,2,4,7,5,6] => [3,1,7,2,8,4,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,2,1,3,6] => [6,3,1,2,5,4,8,7] => [3,1,5,6,2,4,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,2,1,3,7] => [7,3,1,2,5,4,6,8] => [3,1,5,7,2,4,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,2,1,3,8] => [8,3,1,2,5,4,6,7] => [3,1,5,8,2,4,6,7] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,2,1,3,8] => [8,3,1,2,5,4,7,6] => [3,1,5,7,2,8,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [7,5,4,6,2,1,3,8] => [8,3,1,2,6,4,5,7] => [3,1,6,8,2,4,5,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,2,1,3,8] => [8,3,1,2,7,4,5,6] => [3,1,7,8,2,4,5,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,2,1,3,8] => [8,3,1,2,6,5,4,7] => [3,1,5,6,8,2,4,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,2,1,3,8] => [8,3,1,2,7,6,4,5] => [3,1,6,7,2,8,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,2,1,3,8] => [8,3,1,2,7,6,5,4] => [3,1,5,6,7,8,2,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,2,1,4,5] => [5,4,1,2,3,6,7,8] => [4,1,2,5,3,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [7,6,8,3,2,1,4,5] => [5,4,1,2,3,8,6,7] => [4,1,2,5,3,8,6,7] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,2,1,4,5] => [5,4,1,2,3,8,7,6] => [4,1,2,5,3,7,8,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,2,1,4,8] => [8,4,1,2,3,5,6,7] => [4,1,2,8,3,5,6,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,2,1,4,8] => [8,4,1,2,3,7,5,6] => [4,1,2,7,8,3,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [8,7,4,3,2,1,5,6] => [6,5,1,2,3,4,7,8] => [5,1,2,3,6,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,2,1,5,8] => [8,5,1,2,3,4,6,7] => [5,1,2,3,8,4,6,7] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [7,5,4,3,2,1,6,8] => [8,6,1,2,3,4,5,7] => [6,1,2,3,4,8,5,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,2,1,7,8] => [8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,2,1,7,8] => [8,7,1,2,3,4,6,5] => [6,1,2,3,7,4,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [8,4,5,3,2,1,6,7] => [7,6,1,2,3,5,4,8] => [5,1,2,6,3,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [7,4,5,3,2,1,6,8] => [8,6,1,2,3,5,4,7] => [5,1,2,6,3,8,4,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,2,1,7,8] => [8,7,1,2,3,6,4,5] => [6,1,2,7,3,4,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,2,1,7,8] => [8,7,1,2,3,6,5,4] => [5,1,2,6,7,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,2,1,5,6] => [6,5,1,2,4,3,8,7] => [4,1,5,2,6,3,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [8,6,3,4,2,1,5,7] => [7,5,1,2,4,3,6,8] => [4,1,5,2,7,3,6,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,2,1,5,8] => [8,5,1,2,4,3,6,7] => [4,1,5,2,8,3,6,7] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,2,1,6,8] => [8,6,1,2,4,3,5,7] => [4,1,6,2,3,8,5,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [6,5,3,4,2,1,7,8] => [8,7,1,2,4,3,5,6] => [4,1,7,2,3,5,8,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,2,1,6,8] => [8,6,1,2,5,3,4,7] => [5,1,6,2,3,8,4,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,2,1,7,8] => [8,7,1,2,5,3,4,6] => [5,1,7,2,3,4,8,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,2,1,7,8] => [8,7,1,2,6,3,4,5] => [6,1,7,2,3,4,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,2,1,6,8] => [8,6,1,2,5,4,3,7] => [4,1,5,6,2,8,3,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [4,3,5,6,2,1,7,8] => [8,7,1,2,6,5,3,4] => [5,1,6,2,7,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,2,1,7,8] => [8,7,1,2,6,5,4,3] => [4,1,5,6,7,2,8,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [8,7,6,2,3,1,4,5] => [5,4,1,3,2,6,7,8] => [3,4,1,5,2,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [7,6,8,2,3,1,4,5] => [5,4,1,3,2,8,6,7] => [3,4,1,5,2,8,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [7,8,5,2,3,1,4,6] => [6,4,1,3,2,5,8,7] => [3,4,1,6,2,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [7,6,5,2,3,1,4,8] => [8,4,1,3,2,5,6,7] => [3,4,1,8,2,5,6,7] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [8,5,6,2,3,1,4,7] => [7,4,1,3,2,6,5,8] => [3,4,1,6,7,2,5,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [7,5,6,2,3,1,4,8] => [8,4,1,3,2,6,5,7] => [3,4,1,6,8,2,5,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [5,6,7,2,3,1,4,8] => [8,4,1,3,2,7,6,5] => [3,4,1,6,7,8,2,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,3,1,5,7] => [7,5,1,3,2,4,6,8] => [3,5,1,2,7,4,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [7,6,4,2,3,1,5,8] => [8,5,1,3,2,4,6,7] => [3,5,1,2,8,4,6,7] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [6,7,4,2,3,1,5,8] => [8,5,1,3,2,4,7,6] => [3,5,1,2,7,8,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [7,5,4,2,3,1,6,8] => [8,6,1,3,2,4,5,7] => [3,6,1,2,4,8,5,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [6,5,4,2,3,1,7,8] => [8,7,1,3,2,4,5,6] => [3,7,1,2,4,5,8,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [5,6,4,2,3,1,7,8] => [8,7,1,3,2,4,6,5] => [3,6,1,2,7,4,8,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [5,4,6,2,3,1,7,8] => [8,7,1,3,2,6,4,5] => [3,6,1,7,2,4,8,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [7,8,3,2,4,1,5,6] => [6,5,1,4,2,3,8,7] => [4,5,1,2,6,3,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [8,6,3,2,4,1,5,7] => [7,5,1,4,2,3,6,8] => [4,5,1,2,7,3,6,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [7,6,3,2,4,1,5,8] => [8,5,1,4,2,3,6,7] => [4,5,1,2,8,3,6,7] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [6,7,3,2,4,1,5,8] => [8,5,1,4,2,3,7,6] => [4,5,1,2,7,8,3,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [8,5,3,2,4,1,6,7] => [7,6,1,4,2,3,5,8] => [4,6,1,2,3,7,5,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [7,5,3,2,4,1,6,8] => [8,6,1,4,2,3,5,7] => [4,6,1,2,3,8,5,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [6,5,3,2,4,1,7,8] => [8,7,1,4,2,3,5,6] => [4,7,1,2,3,5,8,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [7,4,3,2,5,1,6,8] => [8,6,1,5,2,3,4,7] => [5,6,1,2,3,8,4,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [6,4,3,2,5,1,7,8] => [8,7,1,5,2,3,4,6] => [5,7,1,2,3,4,8,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [5,4,3,2,6,1,7,8] => [8,7,1,6,2,3,4,5] => [6,7,1,2,3,4,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [4,5,3,2,6,1,7,8] => [8,7,1,6,2,3,5,4] => [5,6,1,7,2,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [8,3,4,2,5,1,6,7] => [7,6,1,5,2,4,3,8] => [4,5,6,1,2,7,3,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [7,3,4,2,5,1,6,8] => [8,6,1,5,2,4,3,7] => [4,5,6,1,2,8,3,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [4,3,5,2,6,1,7,8] => [8,7,1,6,2,5,3,4] => [5,6,7,1,2,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [3,4,5,2,6,1,7,8] => [8,7,1,6,2,5,4,3] => [4,5,6,7,1,2,8,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [8,7,2,3,4,1,5,6] => [6,5,1,4,3,2,7,8] => [3,4,5,1,6,2,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [7,8,2,3,4,1,5,6] => [6,5,1,4,3,2,8,7] => [3,4,5,1,6,2,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [8,5,2,3,4,1,6,7] => [7,6,1,4,3,2,5,8] => [3,4,6,1,2,7,5,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [6,5,2,3,4,1,7,8] => [8,7,1,4,3,2,5,6] => [3,4,7,1,2,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [5,6,2,3,4,1,7,8] => [8,7,1,4,3,2,6,5] => [3,4,6,1,7,2,8,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [7,4,2,3,5,1,6,8] => [8,6,1,5,3,2,4,7] => [3,5,6,1,2,8,4,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [6,3,2,4,5,1,7,8] => [8,7,1,5,4,2,3,6] => [4,5,1,7,2,3,8,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [4,3,2,5,6,1,7,8] => [8,7,1,6,5,2,3,4] => [5,6,1,2,7,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [3,4,2,5,6,1,7,8] => [8,7,1,6,5,2,4,3] => [4,5,6,1,7,2,8,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [7,2,3,4,5,1,6,8] => [8,6,1,5,4,3,2,7] => [3,4,5,6,1,8,2,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [5,2,3,4,6,1,7,8] => [8,7,1,6,4,3,2,5] => [3,4,6,7,1,2,8,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [4,2,3,5,6,1,7,8] => [8,7,1,6,5,3,2,4] => [3,5,6,1,7,2,8,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,6,1,7,8] => [8,7,1,6,5,4,3,2] => [3,4,5,6,7,1,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [8,7,6,5,1,2,3,4] => [4,3,2,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [7,8,6,5,1,2,3,4] => [4,3,2,1,5,6,8,7] => [2,3,4,1,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [8,6,7,5,1,2,3,4] => [4,3,2,1,5,7,6,8] => [2,3,4,1,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [7,6,8,5,1,2,3,4] => [4,3,2,1,5,8,6,7] => [2,3,4,1,5,8,6,7] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [6,7,8,5,1,2,3,4] => [4,3,2,1,5,8,7,6] => [2,3,4,1,5,7,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [8,7,5,6,1,2,3,4] => [4,3,2,1,6,5,7,8] => [2,3,4,1,6,5,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [7,8,5,6,1,2,3,4] => [4,3,2,1,6,5,8,7] => [2,3,4,1,6,5,8,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [8,6,5,7,1,2,3,4] => [4,3,2,1,7,5,6,8] => [2,3,4,1,7,5,6,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [7,6,5,8,1,2,3,4] => [4,3,2,1,8,5,6,7] => [2,3,4,1,8,5,6,7] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [6,7,5,8,1,2,3,4] => [4,3,2,1,8,5,7,6] => [2,3,4,1,7,8,5,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [8,5,6,7,1,2,3,4] => [4,3,2,1,7,6,5,8] => [2,3,4,1,6,7,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [7,5,6,8,1,2,3,4] => [4,3,2,1,8,6,5,7] => [2,3,4,1,6,8,5,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [6,5,7,8,1,2,3,4] => [4,3,2,1,8,7,5,6] => [2,3,4,1,7,5,8,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,6,7,8,1,2,3,4] => [4,3,2,1,8,7,6,5] => [2,3,4,1,6,7,8,5] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [8,7,6,4,1,2,3,5] => [5,3,2,1,4,6,7,8] => [2,3,5,1,4,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [8,6,7,4,1,2,3,5] => [5,3,2,1,4,7,6,8] => [2,3,5,1,4,7,6,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [7,6,8,4,1,2,3,5] => [5,3,2,1,4,8,6,7] => [2,3,5,1,4,8,6,7] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [8,7,5,4,1,2,3,6] => [6,3,2,1,4,5,7,8] => [2,3,6,1,4,5,7,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [7,8,5,4,1,2,3,6] => [6,3,2,1,4,5,8,7] => [2,3,6,1,4,5,8,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [8,6,5,4,1,2,3,7] => [7,3,2,1,4,5,6,8] => [2,3,7,1,4,5,6,8] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [7,6,5,4,1,2,3,8] => [8,3,2,1,4,5,6,7] => [2,3,8,1,4,5,6,7] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [6,7,5,4,1,2,3,8] => [8,3,2,1,4,5,7,6] => [2,3,7,1,4,8,5,6] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [7,5,6,4,1,2,3,8] => [8,3,2,1,4,6,5,7] => [2,3,6,1,8,4,5,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [5,6,7,4,1,2,3,8] => [8,3,2,1,4,7,6,5] => [2,3,6,1,7,8,4,5] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [8,7,4,5,1,2,3,6] => [6,3,2,1,5,4,7,8] => [2,3,5,6,1,4,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [7,8,4,5,1,2,3,6] => [6,3,2,1,5,4,8,7] => [2,3,5,6,1,4,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [8,6,4,5,1,2,3,7] => [7,3,2,1,5,4,6,8] => [2,3,5,7,1,4,6,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [7,6,4,5,1,2,3,8] => [8,3,2,1,5,4,6,7] => [2,3,5,8,1,4,6,7] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [6,7,4,5,1,2,3,8] => [8,3,2,1,5,4,7,6] => [2,3,5,7,1,8,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [6,5,4,7,1,2,3,8] => [8,3,2,1,7,4,5,6] => [2,3,7,8,1,4,5,6] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [5,6,4,7,1,2,3,8] => [8,3,2,1,7,4,6,5] => [2,3,6,7,8,1,4,5] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [7,4,5,6,1,2,3,8] => [8,3,2,1,6,5,4,7] => [2,3,5,6,8,1,4,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [5,4,6,7,1,2,3,8] => [8,3,2,1,7,6,4,5] => [2,3,6,7,1,8,4,5] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [4,5,6,7,1,2,3,8] => [8,3,2,1,7,6,5,4] => [2,3,5,6,7,8,1,4] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [8,7,6,3,1,2,4,5] => [5,4,2,1,3,6,7,8] => [2,4,1,5,3,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [6,7,8,3,1,2,4,5] => [5,4,2,1,3,8,7,6] => [2,4,1,5,3,7,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [8,7,5,3,1,2,4,6] => [6,4,2,1,3,5,7,8] => [2,4,1,6,3,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [7,8,5,3,1,2,4,6] => [6,4,2,1,3,5,8,7] => [2,4,1,6,3,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [7,6,5,3,1,2,4,8] => [8,4,2,1,3,5,6,7] => [2,4,1,8,3,5,6,7] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [6,7,5,3,1,2,4,8] => [8,4,2,1,3,5,7,6] => [2,4,1,7,3,8,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [7,5,6,3,1,2,4,8] => [8,4,2,1,3,6,5,7] => [2,4,1,6,8,3,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [6,5,7,3,1,2,4,8] => [8,4,2,1,3,7,5,6] => [2,4,1,7,8,3,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [5,6,7,3,1,2,4,8] => [8,4,2,1,3,7,6,5] => [2,4,1,6,7,8,3,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [7,8,4,3,1,2,5,6] => [6,5,2,1,3,4,8,7] => [2,5,1,3,6,4,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [7,6,4,3,1,2,5,8] => [8,5,2,1,3,4,6,7] => [2,5,1,3,8,4,6,7] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [6,5,4,3,1,2,7,8] => [8,7,2,1,3,4,5,6] => [2,7,1,3,4,5,8,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [5,6,4,3,1,2,7,8] => [8,7,2,1,3,4,6,5] => [2,6,1,3,7,4,8,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [6,4,5,3,1,2,7,8] => [8,7,2,1,3,5,4,6] => [2,5,1,7,3,4,8,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [5,4,6,3,1,2,7,8] => [8,7,2,1,3,6,4,5] => [2,6,1,7,3,4,8,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [4,5,6,3,1,2,7,8] => [8,7,2,1,3,6,5,4] => [2,5,1,6,7,3,8,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [7,8,3,4,1,2,5,6] => [6,5,2,1,4,3,8,7] => [2,4,5,1,6,3,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [7,6,3,4,1,2,5,8] => [8,5,2,1,4,3,6,7] => [2,4,5,1,8,3,6,7] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [6,7,3,4,1,2,5,8] => [8,5,2,1,4,3,7,6] => [2,4,5,1,7,8,3,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [7,5,3,4,1,2,6,8] => [8,6,2,1,4,3,5,7] => [2,4,6,1,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [5,6,3,4,1,2,7,8] => [8,7,2,1,4,3,6,5] => [2,4,6,1,7,3,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [7,4,3,5,1,2,6,8] => [8,6,2,1,5,3,4,7] => [2,5,6,1,3,8,4,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [6,4,3,5,1,2,7,8] => [8,7,2,1,5,3,4,6] => [2,5,7,1,3,4,8,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [5,4,3,6,1,2,7,8] => [8,7,2,1,6,3,4,5] => [2,6,7,1,3,4,8,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [8,3,4,5,1,2,6,7] => [7,6,2,1,5,4,3,8] => [2,4,5,6,1,7,3,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [7,3,4,5,1,2,6,8] => [8,6,2,1,5,4,3,7] => [2,4,5,6,1,8,3,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,1,2,7,8] => [8,7,2,1,6,5,4,3] => [2,4,5,6,7,1,8,3] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [8,7,6,2,1,3,4,5] => [5,4,3,1,2,6,7,8] => [3,1,4,5,2,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [8,6,7,2,1,3,4,5] => [5,4,3,1,2,7,6,8] => [3,1,4,5,2,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [6,7,8,2,1,3,4,5] => [5,4,3,1,2,8,7,6] => [3,1,4,5,2,7,8,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [7,8,5,2,1,3,4,6] => [6,4,3,1,2,5,8,7] => [3,1,4,6,2,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [5,6,7,2,1,3,4,8] => [8,4,3,1,2,7,6,5] => [3,1,4,6,7,8,2,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [7,8,4,2,1,3,5,6] => [6,5,3,1,2,4,8,7] => [3,1,5,2,6,4,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [8,6,4,2,1,3,5,7] => [7,5,3,1,2,4,6,8] => [3,1,5,2,7,4,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [7,6,4,2,1,3,5,8] => [8,5,3,1,2,4,6,7] => [3,1,5,2,8,4,6,7] => [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [6,7,4,2,1,3,5,8] => [8,5,3,1,2,4,7,6] => [3,1,5,2,7,8,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [5,6,4,2,1,3,7,8] => [8,7,3,1,2,4,6,5] => [3,1,6,2,7,4,8,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [8,7,3,2,1,4,5,6] => [6,5,4,1,2,3,7,8] => [4,1,2,5,6,3,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [7,8,3,2,1,4,5,6] => [6,5,4,1,2,3,8,7] => [4,1,2,5,6,3,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [7,6,3,2,1,4,5,8] => [8,5,4,1,2,3,6,7] => [4,1,2,5,8,3,6,7] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [6,7,3,2,1,4,5,8] => [8,5,4,1,2,3,7,6] => [4,1,2,5,7,8,3,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [6,5,3,2,1,4,7,8] => [8,7,4,1,2,3,5,6] => [4,1,2,7,3,5,8,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [5,6,3,2,1,4,7,8] => [8,7,4,1,2,3,6,5] => [4,1,2,6,7,3,8,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [8,4,3,2,1,5,6,7] => [7,6,5,1,2,3,4,8] => [5,1,2,3,6,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [7,4,3,2,1,5,6,8] => [8,6,5,1,2,3,4,7] => [5,1,2,3,6,8,4,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [6,4,3,2,1,5,7,8] => [8,7,5,1,2,3,4,6] => [5,1,2,3,7,4,8,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,4,3,2,1,6,7,8] => [8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,5,3,2,1,6,7,8] => [8,7,6,1,2,3,5,4] => [5,1,2,6,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [5,3,4,2,1,6,7,8] => [8,7,6,1,2,4,3,5] => [4,1,6,2,3,7,8,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [4,3,5,2,1,6,7,8] => [8,7,6,1,2,5,3,4] => [5,1,6,2,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [7,8,2,3,1,4,5,6] => [6,5,4,1,3,2,8,7] => [3,4,1,5,6,2,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [8,6,2,3,1,4,5,7] => [7,5,4,1,3,2,6,8] => [3,4,1,5,7,2,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [7,6,2,3,1,4,5,8] => [8,5,4,1,3,2,6,7] => [3,4,1,5,8,2,6,7] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [6,7,2,3,1,4,5,8] => [8,5,4,1,3,2,7,6] => [3,4,1,5,7,8,2,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [7,5,2,3,1,4,6,8] => [8,6,4,1,3,2,5,7] => [3,4,1,6,2,8,5,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [5,6,2,3,1,4,7,8] => [8,7,4,1,3,2,6,5] => [3,4,1,6,7,2,8,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [8,4,2,3,1,5,6,7] => [7,6,5,1,3,2,4,8] => [3,5,1,2,6,7,4,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [7,4,2,3,1,5,6,8] => [8,6,5,1,3,2,4,7] => [3,5,1,2,6,8,4,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [5,4,2,3,1,6,7,8] => [8,7,6,1,3,2,4,5] => [3,6,1,2,4,7,8,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [4,5,2,3,1,6,7,8] => [8,7,6,1,3,2,5,4] => [3,5,1,6,2,7,8,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [8,3,2,4,1,5,6,7] => [7,6,5,1,4,2,3,8] => [4,5,1,2,6,7,3,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [6,3,2,4,1,5,7,8] => [8,7,5,1,4,2,3,6] => [4,5,1,2,7,3,8,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [4,3,2,5,1,6,7,8] => [8,7,6,1,5,2,3,4] => [5,6,1,2,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [3,4,2,5,1,6,7,8] => [8,7,6,1,5,2,4,3] => [4,5,6,1,2,7,8,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [8,2,3,4,1,5,6,7] => [7,6,5,1,4,3,2,8] => [3,4,5,1,6,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [5,2,3,4,1,6,7,8] => [8,7,6,1,4,3,2,5] => [3,4,6,1,2,7,8,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [4,2,3,5,1,6,7,8] => [8,7,6,1,5,3,2,4] => [3,5,6,1,2,7,8,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [3,2,4,5,1,6,7,8] => [8,7,6,1,5,4,2,3] => [4,5,1,6,2,7,8,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,1,6,7,8] => [8,7,6,1,5,4,3,2] => [3,4,5,6,1,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [8,7,6,1,2,3,4,5] => [5,4,3,2,1,6,7,8] => [2,3,4,5,1,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [7,8,6,1,2,3,4,5] => [5,4,3,2,1,6,8,7] => [2,3,4,5,1,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [8,6,7,1,2,3,4,5] => [5,4,3,2,1,7,6,8] => [2,3,4,5,1,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [7,6,8,1,2,3,4,5] => [5,4,3,2,1,8,6,7] => [2,3,4,5,1,8,6,7] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [6,7,8,1,2,3,4,5] => [5,4,3,2,1,8,7,6] => [2,3,4,5,1,7,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [8,7,5,1,2,3,4,6] => [6,4,3,2,1,5,7,8] => [2,3,4,6,1,5,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [8,6,5,1,2,3,4,7] => [7,4,3,2,1,5,6,8] => [2,3,4,7,1,5,6,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [7,6,5,1,2,3,4,8] => [8,4,3,2,1,5,6,7] => [2,3,4,8,1,5,6,7] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [6,7,5,1,2,3,4,8] => [8,4,3,2,1,5,7,6] => [2,3,4,7,1,8,5,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [8,5,6,1,2,3,4,7] => [7,4,3,2,1,6,5,8] => [2,3,4,6,7,1,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [7,5,6,1,2,3,4,8] => [8,4,3,2,1,6,5,7] => [2,3,4,6,8,1,5,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [6,5,7,1,2,3,4,8] => [8,4,3,2,1,7,5,6] => [2,3,4,7,8,1,5,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [5,6,7,1,2,3,4,8] => [8,4,3,2,1,7,6,5] => [2,3,4,6,7,8,1,5] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [7,8,4,1,2,3,5,6] => [6,5,3,2,1,4,8,7] => [2,3,5,1,6,4,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [7,6,4,1,2,3,5,8] => [8,5,3,2,1,4,6,7] => [2,3,5,1,8,4,6,7] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [8,5,4,1,2,3,6,7] => [7,6,3,2,1,4,5,8] => [2,3,6,1,4,7,5,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [7,5,4,1,2,3,6,8] => [8,6,3,2,1,4,5,7] => [2,3,6,1,4,8,5,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3,7,8] => [8,7,3,2,1,4,5,6] => [2,3,7,1,4,5,8,6] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [8,4,5,1,2,3,6,7] => [7,6,3,2,1,5,4,8] => [2,3,5,6,1,7,4,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [7,4,5,1,2,3,6,8] => [8,6,3,2,1,5,4,7] => [2,3,5,6,1,8,4,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [6,4,5,1,2,3,7,8] => [8,7,3,2,1,5,4,6] => [2,3,5,7,1,4,8,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [4,5,6,1,2,3,7,8] => [8,7,3,2,1,6,5,4] => [2,3,5,6,7,1,8,4] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [8,7,3,1,2,4,5,6] => [6,5,4,2,1,3,7,8] => [2,4,1,5,6,3,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [7,8,3,1,2,4,5,6] => [6,5,4,2,1,3,8,7] => [2,4,1,5,6,3,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [7,6,3,1,2,4,5,8] => [8,5,4,2,1,3,6,7] => [2,4,1,5,8,3,6,7] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [8,5,3,1,2,4,6,7] => [7,6,4,2,1,3,5,8] => [2,4,1,6,3,7,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [7,5,3,1,2,4,6,8] => [8,6,4,2,1,3,5,7] => [2,4,1,6,3,8,5,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [6,5,3,1,2,4,7,8] => [8,7,4,2,1,3,5,6] => [2,4,1,7,3,5,8,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [5,6,3,1,2,4,7,8] => [8,7,4,2,1,3,6,5] => [2,4,1,6,7,3,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [7,4,3,1,2,5,6,8] => [8,6,5,2,1,3,4,7] => [2,5,1,3,6,8,4,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [6,4,3,1,2,5,7,8] => [8,7,5,2,1,3,4,6] => [2,5,1,3,7,4,8,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [5,4,3,1,2,6,7,8] => [8,7,6,2,1,3,4,5] => [2,6,1,3,4,7,8,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [7,3,4,1,2,5,6,8] => [8,6,5,2,1,4,3,7] => [2,4,5,1,6,8,3,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [4,3,5,1,2,6,7,8] => [8,7,6,2,1,5,3,4] => [2,5,6,1,3,7,8,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [7,8,2,1,3,4,5,6] => [6,5,4,3,1,2,8,7] => [3,1,4,5,6,2,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [7,5,2,1,3,4,6,8] => [8,6,4,3,1,2,5,7] => [3,1,4,6,2,8,5,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [6,4,2,1,3,5,7,8] => [8,7,5,3,1,2,4,6] => [3,1,5,2,7,4,8,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [5,4,2,1,3,6,7,8] => [8,7,6,3,1,2,4,5] => [3,1,6,2,4,7,8,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [8,3,2,1,4,5,6,7] => [7,6,5,4,1,2,3,8] => [4,1,2,5,6,7,3,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [5,3,2,1,4,6,7,8] => [8,7,6,4,1,2,3,5] => [4,1,2,6,3,7,8,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [4,3,2,1,5,6,7,8] => [8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [3,4,2,1,5,6,7,8] => [8,7,6,5,1,2,4,3] => [4,1,5,2,6,7,8,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [8,2,3,1,4,5,6,7] => [7,6,5,4,1,3,2,8] => [3,4,1,5,6,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [7,2,3,1,4,5,6,8] => [8,6,5,4,1,3,2,7] => [3,4,1,5,6,8,2,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [6,2,3,1,4,5,7,8] => [8,7,5,4,1,3,2,6] => [3,4,1,5,7,2,8,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [5,2,3,1,4,6,7,8] => [8,7,6,4,1,3,2,5] => [3,4,1,6,2,7,8,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [4,2,3,1,5,6,7,8] => [8,7,6,5,1,3,2,4] => [3,5,1,2,6,7,8,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [3,2,4,1,5,6,7,8] => [8,7,6,5,1,4,2,3] => [4,5,1,2,6,7,8,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [2,3,4,1,5,6,7,8] => [8,7,6,5,1,4,3,2] => [3,4,5,1,6,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [8,7,1,2,3,4,5,6] => [6,5,4,3,2,1,7,8] => [2,3,4,5,6,1,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [7,8,1,2,3,4,5,6] => [6,5,4,3,2,1,8,7] => [2,3,4,5,6,1,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [8,6,1,2,3,4,5,7] => [7,5,4,3,2,1,6,8] => [2,3,4,5,7,1,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [7,6,1,2,3,4,5,8] => [8,5,4,3,2,1,6,7] => [2,3,4,5,8,1,6,7] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [6,7,1,2,3,4,5,8] => [8,5,4,3,2,1,7,6] => [2,3,4,5,7,8,1,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [8,5,1,2,3,4,6,7] => [7,6,4,3,2,1,5,8] => [2,3,4,6,1,7,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [7,5,1,2,3,4,6,8] => [8,6,4,3,2,1,5,7] => [2,3,4,6,1,8,5,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [6,5,1,2,3,4,7,8] => [8,7,4,3,2,1,5,6] => [2,3,4,7,1,5,8,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [7,4,1,2,3,5,6,8] => [8,6,5,3,2,1,4,7] => [2,3,5,1,6,8,4,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [6,4,1,2,3,5,7,8] => [8,7,5,3,2,1,4,6] => [2,3,5,1,7,4,8,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [5,4,1,2,3,6,7,8] => [8,7,6,3,2,1,4,5] => [2,3,6,1,4,7,8,5] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [8,3,1,2,4,5,6,7] => [7,6,5,4,2,1,3,8] => [2,4,1,5,6,7,3,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [7,3,1,2,4,5,6,8] => [8,6,5,4,2,1,3,7] => [2,4,1,5,6,8,3,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [5,3,1,2,4,6,7,8] => [8,7,6,4,2,1,3,5] => [2,4,1,6,3,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [4,3,1,2,5,6,7,8] => [8,7,6,5,2,1,3,4] => [2,5,1,3,6,7,8,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [3,4,1,2,5,6,7,8] => [8,7,6,5,2,1,4,3] => [2,4,5,1,6,7,8,3] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [8,2,1,3,4,5,6,7] => [7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [7,2,1,3,4,5,6,8] => [8,6,5,4,3,1,2,7] => [3,1,4,5,6,8,2,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [6,2,1,3,4,5,7,8] => [8,7,5,4,3,1,2,6] => [3,1,4,5,7,2,8,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [5,2,1,3,4,6,7,8] => [8,7,6,4,3,1,2,5] => [3,1,4,6,2,7,8,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [4,2,1,3,5,6,7,8] => [8,7,6,5,3,1,2,4] => [3,1,5,2,6,7,8,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [3,2,1,4,5,6,7,8] => [8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8] => [8,7,6,5,4,1,3,2] => [3,4,1,5,6,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,1,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1,2,3,4,5,6,8] => [8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [6,1,2,3,4,5,7,8] => [8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [5,1,2,3,4,6,7,8] => [8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,5] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [4,1,2,3,5,6,7,8] => [8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,4] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8] => [8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,3] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,1] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,1,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,2] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [10,1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,1,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [9,2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,2,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [3,2,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,2,3] => [1,4,2,5,6,7,8,9,3] => [.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,2] => [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [11,1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,1,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [4,2,3,5,6,7,8,9,1] => [1,9,8,7,6,5,3,2,4] => [1,3,5,2,6,7,8,9,4] => [.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,10,11,1] => [1,11,10,9,8,7,6,5,4,3,2] => [1,3,4,5,6,7,8,9,10,11,2] => [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,2,8,9,1] => [1,9,8,2,7,6,5,4,3] => [1,4,5,6,7,8,2,9,3] => [.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [9,7,1,2,3,4,5,6,8] => [8,6,5,4,3,2,1,7,9] => [2,3,4,5,6,8,1,7,9] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [8,9,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,9,8] => [2,3,4,5,6,7,1,9,8] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [8,2,3,4,5,6,7,9,1] => [1,9,7,6,5,4,3,2,8] => [1,3,4,5,6,7,9,2,8] => [.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,1,2] => [2,1,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,3] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,8,2,9,1] => [1,9,2,8,7,6,5,4,3] => [1,4,5,6,7,8,9,2,3] => [.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [9,8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,1,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [9,2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2,9] => [1,3,4,5,6,7,8,2,9] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,2,1] => [1,2,9,8,7,6,5,4,3] => [1,2,4,5,6,7,8,9,3] => [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [9,10,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,10,9] => [2,3,4,5,6,7,8,1,10,9] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [9,2,3,4,5,6,7,8,10,1] => [1,10,8,7,6,5,4,3,2,9] => [1,3,4,5,6,7,8,10,2,9] => [.,[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,10,1,2] => [2,1,10,9,8,7,6,5,4,3] => [2,1,4,5,6,7,8,9,10,3] => [[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [10,9,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,9,10] => [2,3,4,5,6,7,8,1,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [10,2,3,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,3,2,10] => [1,3,4,5,6,7,8,9,2,10] => [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,10,2,1] => [1,2,10,9,8,7,6,5,4,3] => [1,2,4,5,6,7,8,9,10,3] => [.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[] => [] => [] => [] => .
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,9,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [7,6,8,5,4,3,2,1,9] => [9,1,2,3,4,5,8,6,7] => [8,1,2,3,4,9,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [7,6,5,8,4,3,2,1,9] => [9,1,2,3,4,8,5,6,7] => [8,1,2,3,9,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [8,7,5,4,6,3,2,1,9] => [9,1,2,3,6,4,5,7,8] => [6,1,2,9,3,4,5,7,8] => [[.,[.,[.,[.,[.,.]]]]],[[.,[.,.]],.]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,3,8,2,1,9] => [9,1,2,8,3,4,5,6,7] => [8,1,9,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,2,3,1,9] => [9,1,3,2,4,5,6,7,8] => [3,9,1,2,4,5,6,7,8] => [[.,[.,.]],[[.,[.,[.,[.,[.,.]]]]],.]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,3,2,8,1,9] => [9,1,8,2,3,4,5,6,7] => [8,9,1,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [5,4,6,3,7,2,8,1,9] => [9,1,8,2,7,3,6,4,5] => [6,7,8,9,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,1,9] => [9,1,8,7,6,5,4,3,2] => [3,4,5,6,7,8,9,1,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,3,1,2,9] => [9,2,1,3,4,5,6,7,8] => [2,9,1,3,4,5,6,7,8] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,4,5,6,7,8,1,2,9] => [9,2,1,8,7,6,5,4,3] => [2,4,5,6,7,8,9,1,3] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,2,1,3,9] => [9,3,1,2,4,5,6,7,8] => [3,1,9,2,4,5,6,7,8] => [[.,[.,.]],[[.,[.,[.,[.,[.,.]]]]],.]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [8,7,5,4,3,2,1,6,9] => [9,6,1,2,3,4,5,7,8] => [6,1,2,3,4,9,5,7,8] => [[.,[.,[.,[.,[.,.]]]]],[[.,[.,.]],.]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [8,6,5,4,3,2,1,7,9] => [9,7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,9,6,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [7,6,5,4,3,2,1,8,9] => [9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [6,5,4,7,3,2,1,8,9] => [9,8,1,2,3,7,4,5,6] => [7,1,2,8,3,4,5,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,2,7,1,8,9] => [9,8,1,7,2,3,4,5,6] => [7,8,1,2,3,4,5,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,1,8,9] => [9,8,1,7,6,5,4,3,2] => [3,4,5,6,7,8,1,9,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [8,7,6,3,2,1,4,5,9] => [9,5,4,1,2,3,6,7,8] => [4,1,2,5,9,3,6,7,8] => [[.,[.,[.,.]]],[.,[[.,[.,[.,.]]],.]]]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [7,6,5,3,2,1,4,8,9] => [9,8,4,1,2,3,5,6,7] => [4,1,2,8,3,5,6,9,7] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],[.,.]]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [6,5,4,3,2,1,7,8,9] => [9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,5,6,1,7,8,9] => [9,8,7,1,6,5,4,3,2] => [3,4,5,6,7,1,8,9,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [5,6,7,8,1,2,3,4,9] => [9,4,3,2,1,8,7,6,5] => [2,3,4,6,7,8,9,1,5] => [[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [8,6,4,2,1,3,5,7,9] => [9,7,5,3,1,2,4,6,8] => [3,1,5,2,7,4,9,6,8] => [[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [5,4,3,2,1,6,7,8,9] => [9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,5,1,6,7,8,9] => [9,8,7,6,1,5,4,3,2] => [3,4,5,6,1,7,8,9,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [8,7,6,1,2,3,4,5,9] => [9,5,4,3,2,1,6,7,8] => [2,3,4,5,9,1,6,7,8] => [[.,.],[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [4,3,2,1,5,6,7,8,9] => [9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [2,3,4,1,5,6,7,8,9] => [9,8,7,6,5,1,4,3,2] => [3,4,5,1,6,7,8,9,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [8,7,1,2,3,4,5,6,9] => [9,6,5,4,3,2,1,7,8] => [2,3,4,5,6,9,1,7,8] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [7,8,1,2,3,4,5,6,9] => [9,6,5,4,3,2,1,8,7] => [2,3,4,5,6,8,9,1,7] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [3,4,1,2,5,6,7,8,9] => [9,8,7,6,5,2,1,4,3] => [2,4,5,1,6,7,8,9,3] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [8,2,1,3,4,5,6,7,9] => [9,7,6,5,4,3,1,2,8] => [3,1,4,5,6,7,9,2,8] => [[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [3,2,1,4,5,6,7,8,9] => [9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8,9] => [9,8,7,6,5,4,1,3,2] => [3,4,1,5,6,7,8,9,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [8,1,2,3,4,5,6,7,9] => [9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,8] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [7,1,2,3,4,5,6,8,9] => [9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,7] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [6,1,2,3,4,5,7,8,9] => [9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,6] => [[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [5,1,2,3,4,6,7,8,9] => [9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,5] => [[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7,8,9] => [9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,4] => [[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8,9] => [9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,3] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [8,7,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [8,7,6,9,5,4,3,2,1] => [1,2,3,4,5,9,6,7,8] => [1,2,3,4,5,9,6,7,8] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,4,3,2,1] => [1,2,3,4,9,5,6,7,8] => [1,2,3,4,9,5,6,7,8] => [.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,9,3,2,1] => [1,2,3,9,4,5,6,7,8] => [1,2,3,9,4,5,6,7,8] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,3,9,2,1] => [1,2,9,3,4,5,6,7,8] => [1,2,9,3,4,5,6,7,8] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [7,8,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [9,8,10,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,10,8,9] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [8,6,7,9,5,4,3,2,1] => [1,2,3,4,5,9,7,6,8] => [1,2,3,4,5,7,9,6,8] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [9,8,7,10,6,5,4,3,2,1] => [1,2,3,4,5,6,10,7,8,9] => [1,2,3,4,5,6,10,7,8,9] => [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [8,7,5,6,9,4,3,2,1] => [1,2,3,4,9,6,5,7,8] => [1,2,3,4,6,9,5,7,8] => [.,[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [9,8,7,6,10,5,4,3,2,1] => [1,2,3,4,5,10,6,7,8,9] => [1,2,3,4,5,10,6,7,8,9] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [8,7,6,4,5,9,3,2,1] => [1,2,3,9,5,4,6,7,8] => [1,2,3,5,9,4,6,7,8] => [.,[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,10,4,3,2,1] => [1,2,3,4,10,5,6,7,8,9] => [1,2,3,4,10,5,6,7,8,9] => [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,3,4,9,2,1] => [1,2,9,4,3,5,6,7,8] => [1,2,4,9,3,5,6,7,8] => [.,[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,10,3,2,1] => [1,2,3,10,4,5,6,7,8,9] => [1,2,3,10,4,5,6,7,8,9] => [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,2,3,9,1] => [1,9,3,2,4,5,6,7,8] => [1,3,9,2,4,5,6,7,8] => [.,[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,3,10,2,1] => [1,2,10,3,4,5,6,7,8,9] => [1,2,10,3,4,5,6,7,8,9] => [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,3,2,10,1] => [1,10,2,3,4,5,6,7,8,9] => [1,10,2,3,4,5,6,7,8,9] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,3,2,1,10] => [10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,9] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [11,10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [10,11,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [8,9,10,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,9,10,8] => [.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [10,9,11,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,11,9,10] => [1,2,3,4,5,6,7,8,11,9,10] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [6,7,8,9,5,4,3,2,1] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,7,8,9,6] => [.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,3,1,2,10] => [10,2,1,3,4,5,6,7,8,9] => [2,10,1,3,4,5,6,7,8,9] => [[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,4,3,2,11,1] => [1,11,2,3,4,5,6,7,8,9,10] => [1,11,2,3,4,5,6,7,8,9,10] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,4,3,2,1,11] => [11,1,2,3,4,5,6,7,8,9,10] => [11,1,2,3,4,5,6,7,8,9,10] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [9,10,11,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,11,10,9] => [1,2,3,4,5,6,7,8,10,11,9] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [11,10,12,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,12,10,11] => [1,2,3,4,5,6,7,8,9,12,10,11] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [7,8,9,10,6,5,4,3,2,1] => [1,2,3,4,5,6,10,9,8,7] => [1,2,3,4,5,6,8,9,10,7] => [.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10,9,8,7,6,5,4,3,1,2,11] => [11,2,1,3,4,5,6,7,8,9,10] => [2,11,1,3,4,5,6,7,8,9,10] => [[.,.],[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,4,3,2,1] => [1,2,3,4,9,8,7,6,5] => [1,2,3,4,6,7,8,9,5] => [.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,3,2,1,4,10] => [10,4,1,2,3,5,6,7,8,9] => [4,1,2,10,3,5,6,7,8,9] => [[.,[.,[.,.]]],[[.,[.,[.,[.,[.,.]]]]],.]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [6,7,8,9,10,5,4,3,2,1] => [1,2,3,4,5,10,9,8,7,6] => [1,2,3,4,5,7,8,9,10,6] => [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,9,3,2,1] => [1,2,3,9,8,7,6,5,4] => [1,2,3,5,6,7,8,9,4] => [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [5,6,7,8,9,10,4,3,2,1] => [1,2,3,4,10,9,8,7,6,5] => [1,2,3,4,6,7,8,9,10,5] => [.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [10,9,8,6,5,4,3,2,1,7,11] => [11,7,1,2,3,4,5,6,8,9,10] => [7,1,2,3,4,5,11,6,8,9,10] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,[.,[.,.]]],.]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [9,7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [9,8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9] => [.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [8,9,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,7,6,9,8] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [9,8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => [.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,4,3,2,1] => [1,2,3,4,6,5,8,7,9] => [1,2,3,4,6,5,8,7,9] => [.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,5,3,2,1] => [1,2,3,5,4,7,6,9,8] => [1,2,3,5,4,7,6,9,8] => [.,[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,3,4,2,1] => [1,2,4,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,9,8] => [1,3,2,4,5,6,7,9,8] => [.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [7,8,9,6,5,4,2,3,1] => [1,3,2,4,5,6,9,8,7] => [1,3,2,4,5,6,8,9,7] => [.,[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,5,2,3,1] => [1,3,2,5,4,6,7,8,9] => [1,3,2,5,4,6,7,8,9] => [.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8] => [.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,2,3,4,1] => [1,4,3,2,5,6,7,8,9] => [1,3,4,2,5,6,7,8,9] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [8,9,2,3,4,5,6,7,1] => [1,7,6,5,4,3,2,9,8] => [1,3,4,5,6,7,2,9,8] => [.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [9,7,8,6,5,4,3,1,2] => [2,1,3,4,5,6,8,7,9] => [2,1,3,4,5,6,8,7,9] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,3,4,1,2] => [2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [9,8,7,5,6,3,4,1,2] => [2,1,4,3,6,5,7,8,9] => [2,1,4,3,6,5,7,8,9] => [[.,.],[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,9] => [2,1,4,3,6,5,8,7,9] => [[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,3,4,1,2] => [2,1,4,3,9,8,7,6,5] => [2,1,4,3,6,7,8,9,5] => [[.,.],[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [9,3,4,5,6,7,8,1,2] => [2,1,8,7,6,5,4,3,9] => [2,1,4,5,6,7,8,3,9] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,4,1,2,3] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,5,1,2,3] => [3,2,1,5,4,6,7,8,9] => [2,3,1,5,4,6,7,8,9] => [[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,5,1,2,3] => [3,2,1,5,4,7,6,9,8] => [2,3,1,5,4,7,6,9,8] => [[.,.],[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,5,6,7,8,9,1,2,3] => [3,2,1,9,8,7,6,5,4] => [2,3,1,5,6,7,8,9,4] => [[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,1,2,3,4] => [4,3,2,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [9,8,7,5,6,1,2,3,4] => [4,3,2,1,6,5,7,8,9] => [2,3,4,1,6,5,7,8,9] => [[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,1,2,3,4] => [4,3,2,1,6,5,8,7,9] => [2,3,4,1,6,5,8,7,9] => [[.,.],[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [5,6,7,8,9,1,2,3,4] => [4,3,2,1,9,8,7,6,5] => [2,3,4,1,6,7,8,9,5] => [[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,1,2,3,4,5] => [5,4,3,2,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [9,8,6,7,1,2,3,4,5] => [5,4,3,2,1,7,6,8,9] => [2,3,4,5,1,7,6,8,9] => [[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [6,7,8,9,1,2,3,4,5] => [5,4,3,2,1,9,8,7,6] => [2,3,4,5,1,7,8,9,6] => [[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [9,8,7,1,2,3,4,5,6] => [6,5,4,3,2,1,7,8,9] => [2,3,4,5,6,1,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [9,7,8,1,2,3,4,5,6] => [6,5,4,3,2,1,8,7,9] => [2,3,4,5,6,1,8,7,9] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [7,8,9,1,2,3,4,5,6] => [6,5,4,3,2,1,9,8,7] => [2,3,4,5,6,1,8,9,7] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [10,8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,9,8,10] => [.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [10,9,7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => [.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [9,10,7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,8,7,10,9] => [.,[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [10,9,8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => [.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,4,3,2,1] => [1,2,3,4,6,5,8,7,10,9] => [1,2,3,4,6,5,8,7,10,9] => [.,[.,[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => [.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,9,10,3,2,1] => [1,2,3,10,9,8,7,6,5,4] => [1,2,3,5,6,7,8,9,10,4] => [.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,3,4,2,1] => [1,2,4,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => [.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,3,4,2,1] => [1,2,4,3,6,5,8,7,10,9] => [1,2,4,3,6,5,8,7,10,9] => [.,[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8,10] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [8,9,10,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,10,9,8] => [1,3,2,5,4,7,6,9,10,8] => [.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [9,10,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,3,4,1,2] => [2,1,4,3,5,6,7,8,9,10] => [2,1,4,3,5,6,7,8,9,10] => [[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,5,6,3,4,1,2] => [2,1,4,3,6,5,7,8,9,10] => [2,1,4,3,6,5,7,8,9,10] => [[.,.],[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [10,9,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,9,10] => [2,1,4,3,6,5,8,7,9,10] => [[.,.],[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,5,6,3,4,1,2] => [2,1,4,3,6,5,10,9,8,7] => [2,1,4,3,6,5,8,9,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,3,4,5,6,1,2] => [2,1,6,5,4,3,10,9,8,7] => [2,1,4,5,6,3,8,9,10,7] => [[.,.],[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [9,10,3,4,5,6,7,8,1,2] => [2,1,8,7,6,5,4,3,10,9] => [2,1,4,5,6,7,8,3,10,9] => [[.,.],[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,4,1,2,3] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,4,5,1,2,3] => [3,2,1,5,4,7,6,9,8,10] => [2,3,1,5,4,7,6,9,8,10] => [[.,.],[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5,6,7,8,9,10,1,2,3] => [3,2,1,10,9,8,7,6,5,4] => [2,3,1,5,6,7,8,9,10,4] => [[.,.],[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,1,2,3,4] => [4,3,2,1,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,1,2,3,4] => [4,3,2,1,6,5,8,7,10,9] => [2,3,4,1,6,5,8,7,10,9] => [[.,.],[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,5,6,1,2,3,4] => [4,3,2,1,6,5,10,9,8,7] => [2,3,4,1,6,5,8,9,10,7] => [[.,.],[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [9,10,5,6,7,8,1,2,3,4] => [4,3,2,1,8,7,6,5,10,9] => [2,3,4,1,6,7,8,5,10,9] => [[.,.],[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [5,6,7,8,9,10,1,2,3,4] => [4,3,2,1,10,9,8,7,6,5] => [2,3,4,1,6,7,8,9,10,5] => [[.,.],[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,1,2,3,4,5] => [5,4,3,2,1,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,1,2,3,4,5] => [5,4,3,2,1,7,6,9,8,10] => [2,3,4,5,1,7,6,9,8,10] => [[.,.],[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [6,7,8,9,10,1,2,3,4,5] => [5,4,3,2,1,10,9,8,7,6] => [2,3,4,5,1,7,8,9,10,6] => [[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,1,2,3,4,5,6] => [6,5,4,3,2,1,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [7,8,9,10,1,2,3,4,5,6] => [6,5,4,3,2,1,10,9,8,7] => [2,3,4,5,6,1,8,9,10,7] => [[.,.],[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [10,9,8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [10,8,9,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,9,8,10] => [2,3,4,5,6,7,1,9,8,10] => [[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [8,9,10,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,10,9,8] => [2,3,4,5,6,7,1,9,10,8] => [[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,3,2,1,4] => [4,1,2,3,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,4,3,2,1,5] => [5,1,2,3,4,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [9,8,7,5,4,3,2,1,6] => [6,1,2,3,4,5,7,8,9] => [6,1,2,3,4,5,7,8,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [9,8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,8,9] => [7,1,2,3,4,5,6,8,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7,9] => [8,1,2,3,4,5,6,7,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,2,3,1,4] => [4,1,3,2,5,6,7,8,9] => [3,4,1,2,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,3,2,1,4] => [4,1,2,3,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,4,3,2,1,5] => [5,1,2,3,4,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [10,9,8,7,5,4,3,2,1,6] => [6,1,2,3,4,5,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [10,9,8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [10,9,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7,9,10] => [8,1,2,3,4,5,6,7,9,10] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,8,10] => [9,1,2,3,4,5,6,7,8,10] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [11,10,9,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [8,7,9,6,5,4,3,1,2] => [2,1,3,4,5,6,9,7,8] => [2,1,3,4,5,6,9,7,8] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [8,9,7,6,5,4,3,2,1,10] => [10,1,2,3,4,5,6,7,9,8] => [9,1,2,3,4,5,6,10,7,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,1,3,2] => [3,4,1,5,6,7,8,9,10,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [3,1,2,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,2,1,3] => [2,4,1,5,6,7,8,9,10,3] => [[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [9,8,10,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,10,8,9] => [2,1,3,4,5,6,7,10,8,9] => [[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [8,7,9,6,5,4,2,1,3] => [3,1,2,4,5,6,9,7,8] => [3,1,2,4,5,6,9,7,8] => [[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [8,7,9,6,5,4,2,3,1] => [1,3,2,4,5,6,9,7,8] => [1,3,2,4,5,6,9,7,8] => [.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [8,9,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,9,8] => [3,1,2,4,5,6,7,9,8] => [[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [9,8,7,6,3,2,1,4,5] => [5,4,1,2,3,6,7,8,9] => [4,1,2,5,3,6,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,1,10] => [10,1,9,8,7,6,5,4,3,2] => [3,4,5,6,7,8,9,10,1,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [9,1,2,3,4,5,6,7,8,10] => [10,8,7,6,5,4,3,2,1,9] => [2,3,4,5,6,7,8,10,1,9] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [10,1,2,3,4,5,6,7,8,9,11] => [11,9,8,7,6,5,4,3,2,1,10] => [2,3,4,5,6,7,8,9,11,1,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [9,2,1,3,4,5,6,7,8,10] => [10,8,7,6,5,4,3,1,2,9] => [3,1,4,5,6,7,8,10,2,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,1,5,6,7,8,9,10] => [10,9,8,7,6,5,1,4,3,2] => [3,4,5,1,6,7,8,9,10,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,1,6,7,8,9,10] => [10,9,8,7,6,1,5,4,3,2] => [3,4,5,6,1,7,8,9,10,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,1,7,8,9,10] => [10,9,8,7,1,6,5,4,3,2] => [3,4,5,6,7,1,8,9,10,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,1,8,9,10] => [10,9,8,1,7,6,5,4,3,2] => [3,4,5,6,7,8,1,9,10,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,1,9,10] => [10,9,1,8,7,6,5,4,3,2] => [3,4,5,6,7,8,9,1,10,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8,9,10,11] => [11,10,9,8,7,6,5,4,3,1,2] => [3,1,4,5,6,7,8,9,10,11,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,4,3,2,5,1,10] => [10,1,5,2,3,4,6,7,8,9] => [5,10,1,2,3,4,6,7,8,9] => [[.,[.,[.,[.,.]]]],[[.,[.,[.,[.,.]]]],.]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,3,1,2,8] => [8,2,1,3,4,5,6,7,9] => [2,8,1,3,4,5,6,7,9] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [7,8,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,8,7] => [1,8,2,3,4,5,9,6,7] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [8,9,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,9,8] => [7,1,2,3,4,5,6,9,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,3,9,1,2] => [2,1,9,3,4,5,6,7,8] => [2,1,9,3,4,5,6,7,8] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [7,6,5,4,3,2,1,8,9,10] => [10,9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,9,10,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [8,1,2,3,4,5,6,7,9,10] => [10,9,7,6,5,4,3,2,1,8] => [2,3,4,5,6,7,9,1,10,8] => [[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [7,1,2,3,4,5,6,8,9,10] => [10,9,8,6,5,4,3,2,1,7] => [2,3,4,5,6,8,1,9,10,7] => [[.,.],[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [6,1,2,3,4,5,7,8,9,10] => [10,9,8,7,5,4,3,2,1,6] => [2,3,4,5,7,1,8,9,10,6] => [[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7,8,9,10] => [10,9,8,7,6,4,3,2,1,5] => [2,3,4,6,1,7,8,9,10,5] => [[.,.],[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [4,1,2,3,5,6,7,8,9,10] => [10,9,8,7,6,5,3,2,1,4] => [2,3,5,1,6,7,8,9,10,4] => [[.,.],[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [8,9,6,5,7,4,3,2,1] => [1,2,3,4,7,5,6,9,8] => [1,2,3,4,7,5,6,9,8] => [.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [9,8,6,7,4,3,2,1,5] => [5,1,2,3,4,7,6,8,9] => [5,1,2,3,4,7,6,8,9] => [[.,[.,[.,[.,.]]]],[[.,.],[.,[.,.]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,5,2,1,3] => [3,1,2,5,4,7,6,9,8] => [3,1,2,5,4,7,6,9,8] => [[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,2,3,1,4] => [4,1,3,2,6,5,8,7,10,9] => [3,4,1,2,6,5,8,7,10,9] => [[.,[.,.]],[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [8,9,6,7,4,2,3,5,1] => [1,5,3,2,4,7,6,9,8] => [1,3,5,2,4,7,6,9,8] => [.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [10,8,9,6,7,4,5,2,1,3] => [3,1,2,5,4,7,6,9,8,10] => [3,1,2,5,4,7,6,9,8,10] => [[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [8,7,6,9,5,3,2,1,4] => [4,1,2,3,5,9,6,7,8] => [4,1,2,3,5,9,6,7,8] => [[.,[.,[.,.]]],[.,[[.,[.,[.,.]]],.]]]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [8,7,6,9,5,4,3,2,1,10] => [10,1,2,3,4,5,9,6,7,8] => [9,1,2,3,4,10,5,6,7,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,3,9,2,1,10] => [10,1,2,9,3,4,5,6,7,8] => [9,1,10,2,3,4,5,6,7,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,7,6,5,4,3,2,1,9,10] => [10,9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,10,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [9,8,7,10,6,5,4,3,2,1,11] => [11,1,2,3,4,5,6,10,7,8,9] => [10,1,2,3,4,5,11,6,7,8,9] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,5,4,10,3,2,1,11] => [11,1,2,3,10,4,5,6,7,8,9] => [10,1,2,11,3,4,5,6,7,8,9] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,5,4,3,2,10,1,11] => [11,1,10,2,3,4,5,6,7,8,9] => [10,11,1,2,3,4,5,6,7,8,9] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,8,7,6,5,4,3,2,1,10,11] => [11,10,1,2,3,4,5,6,7,8,9] => [10,1,2,3,4,5,6,7,8,11,9] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [10,8,6,4,2,1,3,5,7,9] => [9,7,5,3,1,2,4,6,8,10] => [3,1,5,2,7,4,9,6,8,10] => [[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7,8,9,10,11] => [11,10,9,8,7,6,5,4,3,2,1] => [2,3,4,5,6,7,8,9,10,11,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,9,10,1,11] => [11,1,10,9,8,7,6,5,4,3,2] => [3,4,5,6,7,8,9,10,11,1,2] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [11,1,2,3,4,5,6,7,8,9,10,12] => [12,10,9,8,7,6,5,4,3,2,1,11] => [2,3,4,5,6,7,8,9,10,12,1,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [9,3,1,2,4,5,6,7,8,10] => [10,8,7,6,5,4,2,1,3,9] => [2,4,1,5,6,7,8,10,3,9] => [[.,.],[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [11,10,9,8,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,8,9,10,11] => [3,1,2,4,5,6,7,8,9,10,11] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [7,8,6,9,5,4,3,2,1] => [1,2,3,4,5,9,6,8,7] => [1,2,3,4,5,8,9,6,7] => [.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [10,11,1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1,11,10] => [2,3,4,5,6,7,8,9,1,11,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,5,4,3,2,1,7,8,9,10] => [10,9,8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,8,9,10,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [9,8,7,6,5,3,2,4,1] => [1,4,2,3,5,6,7,8,9] => [1,4,2,3,5,6,7,8,9] => [.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9,8,7,6,5,4,3,10,1,2] => [2,1,10,3,4,5,6,7,8,9] => [2,1,10,3,4,5,6,7,8,9] => [[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [8,7,6,5,4,9,2,1,3] => [3,1,2,9,4,5,6,7,8] => [3,1,2,9,4,5,6,7,8] => [[.,[.,.]],[[.,[.,[.,[.,[.,.]]]]],.]]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [3,2,1,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,1,2,3] => [4,1,2,5,6,7,8,9,10,3] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [11,9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9,11] => [1,2,3,4,5,6,7,8,10,9,11] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [9,8,7,10,5,4,3,2,1,6] => [6,1,2,3,4,5,10,7,8,9] => [6,1,2,3,4,5,10,7,8,9] => [[.,[.,[.,[.,[.,.]]]]],[[.,[.,[.,.]]],.]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [8,9,6,5,4,3,2,7,1] => [1,7,2,3,4,5,6,9,8] => [1,7,2,3,4,5,6,9,8] => [.,[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [5,4,3,2,1,6,7,8,9,10] => [10,9,8,7,6,1,2,3,4,5] => [6,1,2,3,4,7,8,9,10,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [4,3,2,1,5,6,7,8,9,10] => [10,9,8,7,6,5,1,2,3,4] => [5,1,2,3,6,7,8,9,10,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [11,9,8,7,6,5,4,3,2,1,10] => [10,1,2,3,4,5,6,7,8,9,11] => [10,1,2,3,4,5,6,7,8,9,11] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,3,2,8,1] => [1,8,2,3,4,5,6,7,9] => [1,8,2,3,4,5,6,7,9] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [8,9,1,2,3,4,5,6,7,10] => [10,7,6,5,4,3,2,1,9,8] => [2,3,4,5,6,7,9,10,1,8] => [[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,4,5,6,7,8,9,1,2,10] => [10,2,1,9,8,7,6,5,4,3] => [2,4,5,6,7,8,9,10,1,3] => [[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [9,10,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7,10,9] => [8,1,2,3,4,5,6,7,10,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [8,7,9,5,4,3,2,1,6] => [6,1,2,3,4,5,9,7,8] => [6,1,2,3,4,5,9,7,8] => [[.,[.,[.,[.,[.,.]]]]],[[.,[.,.]],.]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [8,7,9,5,6,3,4,1,2] => [2,1,4,3,6,5,9,7,8] => [2,1,4,3,6,5,9,7,8] => [[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,8,7,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,7,8,10] => [1,9,2,3,4,5,6,7,8,10] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [8,7,6,5,9,3,2,1,4] => [4,1,2,3,9,5,6,7,8] => [4,1,2,3,9,5,6,7,8] => [[.,[.,[.,.]]],[[.,[.,[.,[.,.]]]],.]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [7,8,2,3,4,5,6,9,1] => [1,9,6,5,4,3,2,8,7] => [1,3,4,5,6,8,9,2,7] => [.,[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [9,7,8,5,6,3,1,2,4] => [4,2,1,3,6,5,8,7,9] => [2,4,1,3,6,5,8,7,9] => [[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [9,7,8,5,3,4,1,2,6] => [6,2,1,4,3,5,8,7,9] => [2,4,6,1,3,5,8,7,9] => [[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,3,1,2,4] => [4,2,1,3,6,5,8,7,10,9] => [2,4,1,3,6,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [9,3,4,5,6,7,1,2,8] => [8,2,1,7,6,5,4,3,9] => [2,4,5,6,7,8,1,3,9] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,7,6,5,4,3,8,1,2] => [2,1,8,3,4,5,6,7,9] => [2,1,8,3,4,5,6,7,9] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [9,8,1,2,3,4,5,6,7,10] => [10,7,6,5,4,3,2,1,8,9] => [2,3,4,5,6,7,10,1,8,9] => [[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [9,8,10,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,10,8,9] => [1,3,2,5,4,7,6,10,8,9] => [.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [10,9,8,7,6,5,2,3,1,4] => [4,1,3,2,5,6,7,8,9,10] => [3,4,1,2,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [9,7,5,3,1,2,4,6,8,10] => [10,8,6,4,2,1,3,5,7,9] => [2,4,1,6,3,8,5,10,7,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [11,12,9,10,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [7,8,5,6,3,4,1,2,9,10] => [10,9,2,1,4,3,6,5,8,7] => [2,4,6,1,8,3,9,5,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [11,12,1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1,12,11] => [2,3,4,5,6,7,8,9,10,1,12,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [9,10,7,8,5,6,3,2,4,1] => [1,4,2,3,6,5,8,7,10,9] => [1,4,2,3,6,5,8,7,10,9] => [.,[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [8,7,6,9,4,3,2,1,5] => [5,1,2,3,4,9,6,7,8] => [5,1,2,3,4,9,6,7,8] => [[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],.]]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [5,6,4,7,3,8,2,9,1,10] => [10,1,9,2,8,3,7,4,6,5] => [6,7,8,9,10,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [9,8,10,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,10,8,9] => [7,1,2,3,4,5,6,10,8,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,[.,.]],.]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [12,11,10,9,8,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,8,9,10,11,12] => [3,1,2,4,5,6,7,8,9,10,11,12] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [9,7,5,3,1,2,4,6,8] => [8,6,4,2,1,3,5,7,9] => [2,4,1,6,3,8,5,7,9] => [[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]
Map
to 132-avoiding permutation
Description
Sends a Dyck path to a 132-avoiding permutation.
This bijection is defined in [1, Section 2].
This bijection is defined in [1, Section 2].
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
Clarke-Steingrimsson-Zeng
Description
The Clarke-Steingrimsson-Zeng map sending descents to excedances.
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
- $des$ is the number of descents, St000021The number of descents of a permutation.,
- $exc$ is the number of (strict) excedances, St000155The number of exceedances (also excedences) of a permutation.,
- $Dbot$ is the sum of the descent bottoms, St000154The sum of the descent bottoms of a permutation.,
- $Ebot$ is the sum of the excedance bottoms,
- $Ddif$ is the sum of the descent differences, St000030The sum of the descent differences of a permutations.,
- $Edif$ is the sum of the excedance differences (or depth), St000029The depth of a permutation.,
- $Res$ is the sum of the (right) embracing numbers,
- $Ine$ is the sum of the side numbers.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
searching the database
Sorry, this map was not found in the database.